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//Example 2.6:Convolution Integral clear; close; clc; t =-5:1/100:5; for i=1:length(t) if t(i)<0 then h(i)=0; x(i)=0; elseif t(i)<=2 h(i)=1; x(i)=1; elseif t(i)<=3 h(i)=0; x(i)=1; else h(i)=0; x(i)=0; end end y = convol(x,h)./100; figure a=gca(); a.x_location="origin"; plot2d(t,h) xtitle('Impulse Response','t','h(t)'); a.children.children.thickness = 3; a.children.children.foreground= 2; figure a=gca(); plot2d(t,x) xtitle('Input Response','t','x(t)'); a.children.children.thickness = 3; a.children.children.foreground= 2; figure a=gca(); t1=-10:1/100:10; a.y_location="origin"; a.x_location="origin"; plot2d(t1,y) xtitle('Output Response','t','y(t)'); a.children.children.thickness = 3; a.children.children.foreground= 2;
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// Initilization of variabes P=20000 //N //Weight of the shaft D=0.30 //m //diameter of the shaft R=0.15 //m //radius of the shaft mu=0.12 // coefficient of friction // Calculations // Friction torque T is given by formulae, T=(2/3)*P*R*mu //N-m M=T //N-m // Results clc printf('The frictional torque is %f N-m \n',M)
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//............................................................................................................. // ................................Using "callOctave" method.............................. //............................................................................................................. //function already exists in scilab -- doesnt work like this one (I guess) //function y = interp(x, q, n, Wc) //This function upsamples the signal x by a factor of q, using an order 2*q*n+1 FIR filter. //Calling Sequence //y = interp(x, q) //y = interp(x, q, n) //y = interp(x, q, n, Wc) //Parameters //x: scalar or vector of complex or real numbers //q: positive integer value, or logical //n: positive integer, default value 4 //Wc: non decreasing vector or scalar, starting from 0 uptill 1, default value 0.5 //Description //This is an Octave function. //This function upsamples the signal x by a factor of q, using an order 2*q*n+1 FIR filter. //The second argument q must be an integer. The default values of the third and fourth arguments (n, Wc) are 4 and 0.5 respectively. //Examples //interp(1,2) //ans = // 0.4792743 0.3626016 //funcprot(0); //rhs = argn(2) //if(rhs<2 | rhs>4) source code says rhs<1 -- but crashes for just one arg //error("Wrong number of input arguments.") //end // // // // // select(rhs) // case 2 then // y = callOctave("interp",x,q) // case 3 then // y = callOctave("interp",x,q,n) // case 4 then // y = callOctave("interp",x,q,n,Wc) // end //endfunction //........................................................................................................ // .............................Using pure "Scilab".......................................... //......................................................................................................... //This function is built with the referrence of interp function (taken from interp.m file). //Octave license: // Copyright (C) 2000 Paul Kienzle <pkienzle@users.sf.net> // // This program is free software; you can redistribute it and/or modify it under // the terms of the GNU General Public License as published by the Free Software // Foundation; either version 3 of the License, or (at your option) any later // version. // // This program is distributed in the hope that it will be useful, but WITHOUT // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or // FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more // details. // // You should have received a copy of the GNU General Public License along with // this program; if not, see <http://www.gnu.org/licenses/>. function y = oct_interp(x, q, varargin) funcprot(0); [nargout,nargin]=argn(); if nargin < 1 | nargin > 4, error("Wrong Number of input arguments"); end if q ~= fix(q), error("decimate only works with integer q."); end if(nargin>2) if(nargin==3) n=varargin(1); Wc=0.5; else n=varargin(1); Wc=varargin(2); end else n=4;Wc=0.5; end if size(x,1)>1 y = zeros(length(x)*q+q*n+1,1); else y = zeros(1,length(x)*q+q*n+1); end y(1:q:length(x)*q) = x; b = fir1(2*q*n+1, Wc/q); y=q*fftfilt(b, y); y(1:q*n+1) = []; // adjust for zero filter delay endfunction
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//[stk,nwrk,txt,top]=%r2for(nwrk) // genere le code Fortran relatif a la division a droite //! s2=stk(top);s1=stk(top-1);top=top-1; if s1(4)=='1'&s1(5)=='1'&s2(4)=='1'&s2(5)=='1' then if s2(2)='2'|s2(2)='1' then s2(1)='('+s2(1)+')',end if s1(2)='2' then s1(1)='('+s1(1)+')',end stk=list(s1(1)+'/'+s2(1),'1',s1(3),s1(4),s1(5)) elseif s1(4)=='1'&s1(5)=='1' then [out,nwrk,txt]=outname(nwrk,s2(3),s2(5),s2(4)) if out<>s2(1) then txt=gencall(['dcopy',mulf(s2(4),s2(5)),s2(1),'1',out,'1']) end [wrk,nwrk,t1]=getwrk(nwrk,'1',s2(4),'1') [ipvt,nwrk,t2]=getwrk(nwrk,'0',s2(4),'1') [errn,nwrk]=adderr(nwrk,'singular '+s2(1)+' matrix') txt=[txt;t1;t2; gencall(['dgefa',out,s2(4),s2(5),ipvt,'ierr']); genif('ierr.ne.0',[' ierr='+string(errn);' return']); gencall(['dgedi',out,s2(4),s2(5),ipvt,'w',wrk,'1'])] if op(2)=s1(1) then txt=[txt;gencall([' dcopy',mulf(s2(4),s2(5)),out,'1',s1(1),'1'])] out=s1(1) end stk=list(out,'-1',s2(3),s2(4),s2(5)) elseif s2(4)=='1'&s2(5)=='1' then [out,nwrk,txt]=outname(nwrk,s2(3),s1(4),s1(5)) if out<>s1(1) then txt=gencall(['dcopy',mulf(s1(4),s1(5)),s1(1),'1',out,'1']) end if s2(2)='2'|s2(2)='1' then s2(1)='('+s2(1)+')',end txt=[txt;gencall(['dscal',mulf(s1(4),s1(5)),'1.0d0/'+s2(1),out,'1'])] if op(2)=s2(1) then txt=[txt;gencall(['dcopy',mulf(s1(4),s1(5)),out,'1',s2(1),'1'])] out=s2(1) end stk=list(out,'-1',s1(3),s1(4),s1(5)) else [res,nwrk,t1]=outname(nwrk,s2(3),s2(4),s2(5),[s1(1),s2(1)]) [mat,nwrk,t2]=getwrk(nwrk,'1',s2(4),s2(4)) [wrk,nwrk,t3]=getwrk(nwrk,'1',s2(4),'1') [ipvt,nwrk,t4]=getwrk(nwrk,'0',s2(4),'1') [errn,nwrk]=adderr(nwrk,'singular '+s2(1)+' matrix') txt=[t1;t2;t3; gencall(['dcopy',mulf(s2(4),s2(5)),s2(1),'1',mat,'1']); gencall(['dgefa',mat,s2(4),s2(5),ipvt,'ierr']); genif('ierr.ne.0',[' ierr='+string(errn);' return']); gencall(['dgesl',mat,s2(4),s2(5),ipvt,res,'0'])] stk=list(res,'-1',s1(3),s1(4),s1(5)) end //end
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// Scilab Code Ex4.5: Page-119 (2006) clc; clear; T = 300; // Room temperature of tungsten, K k = 1.38e-023; // Boltzmann constant, J/mol/K e = 1.6e-019; // Energy equivalent of 1 eV, J/eV E_F = 4.5*e; // Fermi energy of tungsten, J E = E_F-0.1*E_F; // 10% energy below Fermi energy, J f_T = 1/(1+exp((E-E_F)/(k*T))); // Probability of the electron in tungsten at room temperature at an nergy 10% below the Fermi energy printf("\nThe probability of the electron at an energy 10 percent below the Fermi energy in tungsten at 300 K = %4.2f", f_T); E = 2*k*T+E_F; // For energy equal to 2kT + E_F f_T = 1/(1+exp((E-E_F)/(k*T))); // Probability of the electron in tungsten at an energy 2kT above the Fermi energy printf("\nThe probability of the electron at an energy 2kT above the Fermi energy = %6.4f", f_T); // Result // The probability of the electron at an energy 10 percent below the Fermi energy in tungsten at 300 K = 1.00 // The probability of the electron at an energy 2kT above the Fermi energy = 0.1192
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clear; clc; disp("--------------Example 3.27---------------") ratio=10; // power of signal after amplification/initial power of signal = p2/p1 amp=10*log10(ratio); // formula to calculate amplification or gain of power printf("The amplification is %d dB.",amp); // display result
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// Test # 3 : Checking the type for Input Argument #3 exec('./zpklp2bpc.sci',-1); [z,p,k,n,d]=zpklp2bpc(0.3,0.2,[0.5,0.6],0.4,[0.1,0.4]); // !--error 10000 //K must be a scalar //at line 57 of function zpklp2bp called by : //[z,p,k,n,d]=zpklp2bp(0.3,0.2,[0.5.6],0.4,[0.1,0.4])
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// Example 11.6 f=150*10^3; // Frequency Bw=75*10^3; // Band width Q=f/Bw; // Q-Factor disp(' Q-Factor is = '+string(Q)); // since Q < 10 there for we need to solve by Equation // 75= f2-f1 & 150= root(f1*f2) // will get Eq ( f1^2+ 75f1- 22500= 0 ) by Eliminating f2 // by factorization we have f1=( 117.1kHz or -192.1kHz ) f1=117.1; f2=75+f1; disp(' The half Power Frequencies are f1= '+string(f1)+' kHz & f2= '+string(f2)+' kHz'); // p 382 11.6
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LOAD s0, 01 LOAD s1, 01 LOAD s2, 01 loop: ADD s0, 01 ADDCY s1, 00 ADDCY s2, 00 JUMP NC, loop OUTPUT s0, 00 death: JUMP death
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function[x,y]=bisection() clc a=input('masukkan nilai batas bawah = '); b=input('masukkan nilai batas atas = '); tol=input('masukkan nilai toleransi = '); printf('\nfungsi Bisection Scilab'); c=a; d=b; if(f(a)*f(b)>0) printf('\nfunsi f(a)*f(b), tidak ada akar pada >> >> [%d.%d]',a,b); else e=abs(a-b); i=1; while(e>tol) kiri=a; kanan=b; tengah=(kiri+kanan)/2; fkiri=f(kiri); ftengah=f(tengah); if(fkiri*ftengah>0) a=tengah; b=tengah; end printf('\niterasi %d -> \t a=%.5f \t b=%.5f \t tengah=%.5f \t ftengah==%.5f',i,kiri,kanan,tengah,ftengah); e=abs(a-b); i=i+1; end x=zeros(i-1,1); y=zeros(i-1,1); e=abs(c-d); i=1; while(e>tol) kiri=c; kanan=d; tengah=(kiri+kanan)/2; fkiri=f(kiri); fkanan=f(kanan); ftengah=f(tengah); if(fkiri*ftengah>0) c=tengah; else d=tengah; end x(i)=tengah; y(i)=tengah; e=abs(c-d); i=i+1; end printf('\n\nJadi hampiran akarnya adalah %.5f', tengah); end endfunction
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//ADC Asgard CSV Loader. JLJ. Basicairdata Team. writetoQGISfile=1; //If 1 write output to CSV file for QGIS debug=1;//1 debug mode exec('rhoair.sci') exec('viscosityair.sci') exec('ISAaltitude.sci') clc //Q = csvRead("LG3-50HZ.CSV") //Field data <- Buono Q = csvRead("PIPPO01.CSV") //Air Data GPS = csvRead("PIPPO01GPS.CSV") //GPS data [r c]=size(Q); ngroups=20;//Number of data sets fsample=0; //Averaged value of fsample basetime=Q(1,17); //Starting mills RH=0; //Relative humidity //Define columns -> data correspondence //Raw sensor data deltapcol=3; //Deltap column is #3; abscol=4; //Abspressure column is #4; exttempcol=5; //External temp is #5; tempdeltapcol=6; //Temp from deltap sensor #6; tempabscol=7; //Temp from Abs pressure sensor #7; //Measurements absmcol=9; IASmcol=13; TASmcol=14; ExtTempmcol=10; tempdeltapmcol=11; tempabsmcol=12; altitude=15; OAT=16; rhoairmcol=22; vair=23; Re=24; cfactor=25; //Define GPS data columns lat=3 lon=4 GPSaltitude=6 geoidaltitude=7 GPSspeed=8 bearing=9; //Deg //Define tollerance band //Define tollerance band airdensityeband=0.5; //Air Density Percent of rho viscosityeband=3;//Viscosity % altitudeeband=0.5;//Altitude % fsamplev=zeros(1,ngroups); //Calculate the average sample frequency from the samples //Divide the data in ngroups [pippo maxcount]=size(1:r/ngroups:r) for ng=1:ngroups for i=1: maxcount fsamplev(ng)=fsamplev(ng) + 1000/((Q(3+ng*maxcount+i,17)-Q(2+ng*maxcount+i,17))) end fsamplev(ng)= fsamplev(ng)/ngroups; end fsample=mean(fsamplev) //FFT Plot N=r; //Number of ADC Samples sample_rate=fsample; f=sample_rate*(0:(N/2))/N; //associated frequency vector n=size(f,'*') fig=scf(1); clf(1); fig.figure_name='Fast Fourier Transform of ADC Samples'; //Abs pressure subplot(3,2,1) xtitle('Absolute Pressure Sensor, Frequency [Hz] vs FFT') y=fft(Q(:,abscol)-mean(Q(:,abscol))); plot(f',abs(y(1:n))) //Deltap subplot(3,2,2) xtitle('Deltape Sensor, Frequency [Hz] vs FFT') y=fft(Q(:,deltapcol)-mean(Q(:,deltapcol))); plot(f',abs(y(1:n))) //External Temperature subplot(3,2,3) xtitle('External Temp Sensor, Frequency [Hz] vs FFT') y=fft(Q(:,exttempcol)-mean(Q(:,exttempcol))); plot(f',abs(y(1:n))) //Temperature from deltap sensor subplot(3,2,4) xtitle('Temp from Deltap Sensor ,Frequency [Hz] vs FFT') y=fft(Q(:,tempdeltapcol)-mean(Q(:,tempdeltapcol))); plot(f',abs(y(1:n))) //Temperature from absolute pressure sensor subplot(3,2,5) xtitle('Temp from Abs Pressure Sensor ,Frequency [Hz] vs FFT') y=fft(Q(:,tempabscol)-mean(Q(:,tempabscol))); plot(f',abs(y(1:n))) //Average of sample frequency subplot(3,2,6) xtitle('Average value of sample frequency vs #different data sets') [r c]=size(fsamplev) cla=1:c plot(cla,fsamplev,'-') //Time plot //Need time figtime=scf(2); clf(2); timetic=Q(:,17)-basetime figtime.figure_name='Measurements and Calculations'; //Abs pressure [Pa] subplot(4,3,1) xtitle('Absolute Pressure Sensor [Pa] vs Time [ms]') plot(timetic,Q(:,absmcol),2) //IAS [m/s] subplot(4,3,2) xtitle('Indicated Air Speed [m/s] vs Time [ms]') plot(timetic,Q(:,IASmcol),2) //TAS [m/s] subplot(4,3,3) xtitle('True Air Speed [m/s] vs Time [ms]') plot(timetic,Q(:,TASmcol),2) //External temperature [°K] subplot(4,3,4) xtitle('External Temperature [°K] vs Time [ms]') plot(timetic,Q(:,ExtTempmcol),2) //Temperature deltapsensor [°K] subplot(4,3,5) xtitle('Temperature from deltap pressure sensor [°K] vs Time [ms]') plot(timetic,Q(:,tempdeltapmcol),2) //Temperature abspressure sensor [°K] subplot(4,3,6) xtitle('Temperature from absolute pressure sensor [°K] vs Time [ms]') plot(timetic,Q(:,tempabsmcol),2) //Altitude [m] subplot(4,3,7) xtitle('Altitude [m] vs Time [ms]') plot(timetic,Q(:,altitude),2) //Outside Air Temperature [°K] subplot(4,3,8) xtitle('Outside Air Temperature [°K] vs Time [ms]') plot(timetic,Q(:,OAT),2) //Air Density [kg/m^3] subplot(4,3,9) xtitle('Air Density [kg/m^3] vs Time [ms]') plot(timetic,Q(:,rhoairmcol),2) //Air Viscosity [mPas] subplot(4,3,10) xtitle('Air Viscosity [mPas] vs Time [ms]') plot(timetic,Q(:,vair),2) //Re subplot(4,3,11) xtitle('Reynolds vs Time [ms]') plot(timetic,Q(:,Re),2) //C factot subplot(4,3,12) xtitle('c factor vs Time [ms]') plot(timetic,Q(:,cfactor),2) //Compares ADC logged values with offline calculated ones if debug==1 then //Calulates rhoair and add a one new colums to Q, contains (ADCrho-calculatedrho) [r c]=size(Q); for ri=1:r Q(ri,c+1)=(Q(ri,rhoairmcol)-rhoair(Q(ri,ExtTempmcol), Q(ri,absmcol),0))/rhoair(Q(ri,ExtTempmcol), Q(ri,absmcol)*100) end //Plot calculated data figerrori=scf(3); clf(3); figerrori.figure_name='Absoulte differences betweeen logged ADC output and library calculated values'; //Rhoair subplot(2,2,1) xtitle('Density of Air Difference % vs Time [ms]') plot(timetic,Q(:,c+1),2) if ((abs(min(Q(:,c+1)))<airdensityeband)&(abs(max(Q(:,c+1)))<airdensityeband)) then mprintf('\nADC calculated Air Density value is within the tollerance band of %f %% of density',airdensityeband) else mprintf('\nWarning: ADC calculated Air Density value is outside the tollerance band of %f %% of density',airdensityeband) end //Air viscosity check subplot(2,2,2) xtitle('Viscosity of Air Difference % vs Time [ms]') for ri=1:r Q(ri,c+2)=(Q(ri,vair)-viscosityair(Q(ri,ExtTempmcol)))/viscosityair(Q(ri,ExtTempmcol))*100 end plot(timetic,Q(:,c+2),2) if ((abs(min(Q(:,c+2)))<viscosityeband)&(abs(max(Q(:,c+2)))<viscosityeband)) then mprintf('\nADC calculated Viscosity value is within the tollerance band of %f %% of viscosity',viscosityeband) else mprintf('\nWarning: ADC calculated Viscosity value is outside the tollerance band of %f %% of viscosity',viscosityeband) end //Altitude check subplot(2,2,3) xtitle('Altitude Difference % vs Time [ms]') for ri=1:r Q(ri,c+3)=(Q(ri,altitude)-ISAaltitude(Q(ri,absmcol)))/ISAaltitude(Q(ri,absmcol))*100 end plot(timetic,Q(:,c+3),2) if ((abs(min(Q(:,c+3)))<altitudeeband)&(abs(max(Q(:,c+3)))<altitudeeband)) then mprintf('\nADC calculated altitude value is within the tollerance band of %f %% of viscosity',altitudeeband) else mprintf('\nWarning: ADC calculated altitude value is outside the tollerance band of %f %% of viscosity',altitudeeband) end end figGPS=scf(4); clf(4); //GPS track //scatter3(GPS(:,lat),GPS(:,lon),GPS(:,GPSaltitude),"*") scatter3(GPS(:,lat),GPS(:,lon),GPS(:,GPSspeed),"red","*") //scatter3(GPS(:,lat),GPS(:,lon),Q(:,TASmcol),"blue","x") //Get the total air data log time in seconds //fsample is the calcualted real sample rate [r1 c1]=size(GPS); [r c]=size(Q); timereal=min([r/fsample r1]) //Append a column with the airdata to the GPS data //PIPPO2GPS 25 offset [r1 c1]=size(GPS); for mm=1:timereal GPS(mm,c1+1)=Q(floor(50*0+ mm*fsample),TASmcol) end //TAS Airspeed at the sampled instants scatter3(GPS(:,lat),GPS(:,lon),GPS(:,c1+1),"blue","x") //Difference scatter3(GPS(:,lat),GPS(:,lon),(GPS(:,GPSspeed)-GPS(:,c1+1))) azz=gca() // [xmin,ymin,zmin; xmax,ymax,zmax] xmin=min(GPS(:,lat)) ymin=min(GPS(:,lon)) zmin=-2 xmax=max(GPS(:,lat)) ymax=min(GPS(:,lon)) zmax=25 azz.data_bounds=[xmin,ymin,zmin; xmax,ymax,zmax]; xlabel('Latitude') ylabel('Longitude') zlabel('Airspeed m/s') xtitle('GPS Speed vs Pitot Speed') legend(['GPS Ground Speed[m/s]';'True Airspeed [m/s]';'Speed difference']); //lat lon bearing TAS //x component of TAS if writetoQGISfile==1 uTAS=cos(GPS(:,bearing)/360*6.28).*GPS(:,c1+1) vTAS=sin(GPS(:,bearing)/360*6.28).*GPS(:,c1+1) QGIS=[GPS(:,lat) GPS(:,lon) GPS(:,bearing) GPS(:,c1+1) uTAS vTAS] QGIS(1,1)=0 QGIS(1,2)=0 QGIS(1,3)=0 QGIS(1,4)=0 QGIS(1,5)=0 QGIS(1,6)=0 filename=fullfile("FORQGIS.csv"); csvWrite ( QGIS , filename ); end
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timelimit 5 boardsize 10 play w C3 play w D3 play w F3 play b A2 play w B2 play w C2 play w D2 play w E2 gogui-rules_board genmove b # b's move can be any (random because loss) gogui-rules_board genmove w #?[F2|E3] gogui-rules_board genmove b # b's move can be any (random because loss) gogui-rules_board # Should complete their 2-move threat or win genmove w #?[F2|E3|B3|G3] gogui-rules_board
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Example7_2.sce
//Example 7.2 //Program to : //(a)Calculate the optical power emitted into air as a percentage of //internal optical power //(b)Determine the external power efficiency clear; clc ; close ; //Given data F=0.68; //TRANSMISSION FACTOR n=1; nx=3.6; //REFRACTIVE INDEX OF GaAs Pint_by_P=0.5; //*100 percent - Pe/P //Percentage optical power emitted Pe_by_Pint=F*n^2/(4*nx^2); //External power efficiency eeta_ep=Pe_by_Pint*Pint_by_P; //Displaying the Results in Command Window printf("\n\n\t (a)Percentage optical power emitted is %0.1f percent of generated optical power.",Pe_by_Pint*100); printf("\n\n\t (b)External power efficiency is %0.2f percent.",eeta_ep*100);
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; rred4.tst ; ; Copyright (c) 1999-2018, Arm Limited. ; SPDX-License-Identifier: MIT func=rred op1=5ee8da6e.555f15d0 result=3ccad12f.2b4c25d3.eaa res2=00000001 errno=0 func=rred op1=5ef7833f.a59d0dfd result=3c919ca2.3f5c493c.c76 res2=00000003 errno=0 func=rred op1=5efb3542.79418f04 result=bca803d2.ba28019c.b3f res2=00000001 errno=0 func=rred op1=5f014ca4.10454889 result=bcc66a06.9b751384.b8d res2=00000001 errno=0 func=rred op1=5f0db9db.3af4d371 result=3ccf3857.bb233823.1c8 res2=00000003 errno=0 func=rred op1=5f1467f1.daf12b43 result=bcc202de.0b9e0135.86f res2=00000003 errno=0 func=rred op1=5f1e5090.43ed71be result=3c966ae3.892121b9.b5c res2=00000001 errno=0 func=rred op1=5f25f598.c0471ca0 result=bcb26919.d7dfb92e.468 res2=00000003 errno=0 func=rred op1=5f2fde37.2943631b result=3cd035f4.06ca3721.2c0 res2=00000003 errno=0 func=rred op1=5f3355c3.e3c9e36e result=3cc469fe.b0806d73.fe2 res2=00000001 errno=0 func=rred op1=5f3a2314.821a472f result=bc9ccea0.4d3ca145.ae7 res2=00000001 errno=0 func=rred op1=5f44a5ae.52088007 result=3c900726.c505a22d.bd1 res2=00000003 errno=0 func=rred op1=5f4fa07a.b22c0e57 result=bcc06834.ff3f04e8.8ee res2=00000001 errno=0 func=rred op1=5f51e6fb.39ff9c73 result=3cba6cad.3a628a45.250 res2=00000003 errno=0 func=rred op1=5f576461.6a11639b result=bca4cb0c.eab9d02e.cff res2=00000001 errno=0 func=rred op1=5f634654.c6040e3d result=3cc13820.4e72adae.01c res2=00000001 errno=0 func=rred op1=5f660507.de0cf1d1 result=bc830f98.96d0b804.4b7 res2=00000003 errno=0 func=rred op1=5f75555b.180ab8ec result=3cab4a67.6457165a.674 res2=00000003 errno=0 func=rred op1=5f76b4b4.a40f2ab6 result=bcb72cff.fd93e72f.596 res2=00000001 errno=0 func=rred op1=5f802813.bc17239e result=bcf18ec6.9cbd007b.734 res2=00000003 errno=0 func=rred op1=5f8f505b.de0ddc7d result=3cd37073.b19084f9.09f res2=00000003 errno=0 func=rred op1=5f900004.52080ab1 result=3cc477cd.8b4150c3.cd7 res2=00000001 errno=0 func=rred op1=5f9b5a5e.a40fa00c result=bc95a993.9294b35c.5f4 res2=00000003 errno=0 func=rred op1=5fa30286.180a7e41 result=3cb5e002.7fb1e983.4f7 res2=00000001 errno=0 func=rred op1=5fae5ce0.6a12139c result=bcd1b4ff.5da76cce.858 res2=00000001 errno=0 func=rred op1=5fb483c6.fb0bb809 result=bcb03f2e.adef8685.477 res2=00000001 errno=0 func=rred op1=5fb9d91d.c10e6644 result=3cc32ad0.0d5f5317.c39 res2=00000001 errno=0 func=rred op1=5fc54467.6c8c54ed result=bcd71f64.424c99a5.9d5 res2=00000001 errno=0 func=rred op1=5fca99be.328f0328 result=3cb0ac0c.8829f2d3.27e res2=00000001 errno=0 func=rred op1=5fd42376.c24b6997 result=bc93f61c.29ab0224.dd4 res2=00000001 errno=0 func=rred op1=5fda396d.f9ceb4b6 result=3cd755d3.2f69cfcc.8d8 res2=00000003 errno=0 func=rred op1=5fe4539e.deab90d0 result=bcd17e90.708a36a7.954 res2=00000001 errno=0 func=rred op1=5feac9e6.4eef2a61 result=3c9ac3f9.cd51c702.e52 res2=00000003 errno=0 func=rred op1=5ff776ae.889d49fc result=bc8a507d.0c087a8d.aab res2=00000001 errno=0 func=rred op1=5ffe1d1e.15410ac6 result=3cbe0e09.6ed2d654.9a8 res2=00000003 errno=0 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func=rred op1=61256913.865b3e16 result=bca08f17.66fc9079.756 res2=00000003 errno=0 func=rred op1=6126f749.8a91cda1 result=3ca3cd23.cf9e0640.f65 res2=00000003 errno=0 func=rred op1=6130ed61.d407dd37 result=3ce1252c.24dd8255.9e8 res2=00000003 errno=0 func=rred op1=613e8f67.45524d96 result=bcce996f.288ab7b8.4df res2=00000001 errno=0 func=rred op1=6140d5e9.a6dfb656 result=3ca70b30.383f7c08.774 res2=00000001 errno=0 func=rred op1=614b8a73.6a0d5561 result=bc9425fd.2b7349d4.e73 res2=00000003 errno=0 func=rred op1=61531f7e.969d7a36 result=bcb59896.b1d962ee.af3 res2=00000001 errno=0 func=rred op1=615940de.7a4f9181 result=3cc14864.2a2f9d06.597 res2=00000003 errno=0 func=rred op1=6161fab4.1ebe9846 result=3c772998.6661919c.80a res2=00000003 errno=0 func=rred op1=616caf3d.e1ec3751 result=bcd03271.05630a33.036 res2=00000003 errno=0 func=rred op1=61728d19.5aae093e result=bcc4df49.eea65661.cb3 res2=00000001 errno=0 func=rred op1=617af80e.2e1de469 result=3c915f32.4cc92d35.607 res2=00000001 errno=0 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func=rred op1=6cc47fca.fbb528e0 result=bcc1403f.16625f60.9d9 res2=00000001 errno=0 func=rred op1=6cccfa3f.07c014df result=3ca427f1.e29f9990.e95 res2=00000003 errno=0 func=rred op1=6cd2ba59.89e5806f result=3ccb5438.07b22c29.124 res2=00000001 errno=0 func=rred op1=6cdd9164.d85aa25a result=bcb51087.95afadb5.f4f res2=00000001 errno=0 func=rred op1=6ce7da4c.48d2caa7 result=3cd2b418.7c80fc78.c37 res2=00000003 errno=0 func=rred op1=6ce87172.196d5822 result=bc9e8243.fa6a72aa.bac res2=00000001 errno=0 func=rred op1=6cf5e178.b9f6b306 result=3cb33f5c.2f8f856b.ddc res2=00000001 errno=0 func=rred op1=6cfb016b.78e3fd3e result=bcc8e0d0.14fcfc0b.4c4 res2=00000003 errno=0 func=rred op1=6d072975.69b20594 result=3c8ff1d1.92d260b4.032 res2=00000003 errno=0 func=rred op1=6d09b96e.c928aab0 result=bcd040b0.89cbcc5a.fd8 res2=00000001 errno=0 func=rred op1=6d168577.11d45c4d result=3cc53e79.48bcab77.1df res2=00000001 errno=0 func=rred op1=6d17cd73.c18faedb result=bcba8409.c8102694.3a6 res2=00000003 errno=0 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<scriptConfig name="LFRT_LF1" script="SA10_freq_ride_through"> <params> <param name="gridsim.frea.phases" type="int">1</param> <param name="eut.t_msa" type="float">1.0</param> <param name="eut.freq_msa" type="float">2.0</param> <param name="frt.n_r" type="int">5</param> <param name="eut.frt_t_dwell" type="int">5</param> <param name="frt.freq_test" type="float">57.0</param> <param name="eut.freq_nom" type="float">60.0</param> <param name="frt.freq_grid_max" type="float">60.0</param> <param name="frt.freq_grid_min" type="float">60.0</param> <param name="eut.v_nom" type="int">190</param> <param name="frt.t_hold" type="float">299.0</param> <param name="gridsim.frea.ip_port" type="int">2001</param> <param name="eut.p_rated" type="int">40000</param> <param name="gridsim.frea.ip_addr" type="string">127.0.0.1</param> <param name="aist.script_version" type="string">2.0.0</param> <param name="aist.library_version" type="string">2.1.0</param> <param name="der.mode" type="string">Disabled</param> <param name="hil.mode" type="string">Disabled</param> <param name="loadsim.mode" type="string">Disabled</param> <param name="frt.p_100" type="string">Enabled</param> <param name="frt.p_20" type="string">Enabled</param> <param name="gridsim.auto_config" type="string">Enabled</param> <param name="gridsim.mode" type="string">FREA_AC_Simulator</param> <param name="das_das_wf.mode" type="string">Manual</param> <param name="das_das_rms.mode" type="string">Manual</param> <param name="gridsim.frea.comm" type="string">TCP/IP</param> <param name="frt.test_label" type="string">lfrt_lf1</param> </params> </scriptConfig>
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// Copyright (C) 2012 - Prateek Papriwal // // This file must be used under the terms of the CeCILL. // This source file is licensed as described in the file COPYING, which // you should have received as part of this distribution. The terms // are also available at // http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt function R = distfun_trnd(varargin) path = distfun_getpath() internallib = lib(fullfile(path,"macros","internals")) [lhs,rhs] = argn() apifun_checkrhs("distfun_trnd",rhs,1:3) apifun_checklhs("distfun_trnd",lhs,0:1) v = varargin(1) // // Check type apifun_checktype("distfun_trnd",v,"v",1,"constant") // Check content apifun_checkgreq("distfun_trnd",v,"v",1,1) apifun_checkflint("distfun_trnd",v,"v",1) if ( rhs == 2 ) then v = varargin(2) end if ( rhs == 3 ) then m = varargin(2) n = varargin(3) end // // Check v,m,n distfun_checkvmn ( "distfun_trnd" , 2 , varargin(2:$) ) [v] = apifun_expandfromsize ( 1 , varargin(1:$) ) if(v == []) then R = [] return end m = size(v,"r") n = size(v,"c") u = distfun_unifrnd(0,1,m,n) R = distfun_tinv(u,v) endfunction
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//Chapter 5 : Fibre Optics clear; //Variable declaration n1=1.5 //core refractive index n2=1.47 //clad refractive index //Calculations thetac=asin(n2/n1) NA=(n1**2-n2**2)**0.5 im=asin(NA) im=im*180/%pi thetac=thetac*180/%pi //Result mprintf("Critical angle= %f degrees",thetac) mprintf("\nNumerical aperture= %f",NA) mprintf("\nAcceptance angle= %f degrees",im)
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//no i/p args are passed to the function r=poly2ac(); disp(r); //output // !--error 10000 //Input arguments must be numeric. //at line 31 of function rlevinson called by : //at line 41 of function poly2ac called by : //r=poly2ac();
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clc // Given that x = 100 // in meter y = 10 // in meter z = 5 // in meter t = 1e-4 // in sec // coordinates of point in frame F v = 2.7e8 // velocity of frame F_ w.r.t. frame F in m/sed c=3e8 // speed of light in m/sec // Sample Problem 5 on page no. 11.19 printf("\n # PROBLEM 5 # \n") // according to Galilean transformation x__ = x-v*t y__=y z__=z t__=t // according to Lorentz transformation x_ = (x-v*t)/sqrt(1-(v/c)^2) y_=y z_=z t_=(t-(v*x/c^2))/sqrt(1-(v/c)^2) printf("\n Coordinate of the event in reference frame F_ using (a)Galilean transformation-x=%f m, y=%f m, z = %f m, t = %e sec. \n (b)Lorentz transformation-x=%f m,y =%f m, z = %f m, t=%e sec. ",x__,y__,z__,t__,x_,y_,z_,t_)
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psinalkar1988/Scilab-TBC-Uploads-1
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Ex8_3.sce
//Chapter 8 : Determinants //Example 8.7 //Scilab 6.0.1 //Windows 10 clear; clc; A=[1 1 -1;2 1 3;1 -5 1]; disp(A,'A=') detA=det(A) disp(detA,'det A=') detA=1*det([1 3;-5 1])-1*det([2 3;1 1])-1*det([2 1;1 -5]) mprintf('\nUsing a Laplace expansion along first row, det A=') disp(detA,'det A=') detA=-2*det([1 -1;-5 1])+1*det([1 -1;1 1])-3*det([1 1;1 -5]) mprintf('\nexpanding along second row, det A=') disp(detA,'det A=') detA=1*det([1 -1;1 3])-(-5)*det([1 -1;2 3])+1*det([1 1;2 1]) mprintf('\nexpanding along second row, det A=') disp(detA,'det A=')
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; @Harness: disassembler ; @Result: PASS section .text size=0x00000100 vma=0x00000000 lma=0x00000000 offset=0x00000034 ;2**0 section .data size=0x00000000 vma=0x00000000 lma=0x00000000 offset=0x00000134 ;2**0 start .text: label 0x00000000 ".text": 0x0: 0xfc 0xf5 brge .+126 ; 0x80 0x2: 0xf4 0xf5 brge .+124 ; 0x80 0x4: 0xec 0xf5 brge .+122 ; 0x80 0x6: 0xe4 0xf5 brge .+120 ; 0x80 0x8: 0xdc 0xf5 brge .+118 ; 0x80 0xa: 0xd4 0xf5 brge .+116 ; 0x80 0xc: 0xcc 0xf5 brge .+114 ; 0x80 0xe: 0xc4 0xf5 brge .+112 ; 0x80 0x10: 0xbc 0xf5 brge .+110 ; 0x80 0x12: 0xb4 0xf5 brge .+108 ; 0x80 0x14: 0xac 0xf5 brge .+106 ; 0x80 0x16: 0xa4 0xf5 brge .+104 ; 0x80 0x18: 0x9c 0xf5 brge .+102 ; 0x80 0x1a: 0x94 0xf5 brge .+100 ; 0x80 0x1c: 0x8c 0xf5 brge .+98 ; 0x80 0x1e: 0x84 0xf5 brge .+96 ; 0x80 0x20: 0x7c 0xf5 brge .+94 ; 0x80 0x22: 0x74 0xf5 brge .+92 ; 0x80 0x24: 0x6c 0xf5 brge .+90 ; 0x80 0x26: 0x64 0xf5 brge .+88 ; 0x80 0x28: 0x5c 0xf5 brge .+86 ; 0x80 0x2a: 0x54 0xf5 brge .+84 ; 0x80 0x2c: 0x4c 0xf5 brge .+82 ; 0x80 0x2e: 0x44 0xf5 brge .+80 ; 0x80 0x30: 0x3c 0xf5 brge .+78 ; 0x80 0x32: 0x34 0xf5 brge .+76 ; 0x80 0x34: 0x2c 0xf5 brge .+74 ; 0x80 0x36: 0x24 0xf5 brge .+72 ; 0x80 0x38: 0x1c 0xf5 brge .+70 ; 0x80 0x3a: 0x14 0xf5 brge .+68 ; 0x80 0x3c: 0x0c 0xf5 brge .+66 ; 0x80 0x3e: 0x04 0xf5 brge .+64 ; 0x80 0x40: 0xfc 0xf4 brge .+62 ; 0x80 0x42: 0xf4 0xf4 brge .+60 ; 0x80 0x44: 0xec 0xf4 brge .+58 ; 0x80 0x46: 0xe4 0xf4 brge .+56 ; 0x80 0x48: 0xdc 0xf4 brge .+54 ; 0x80 0x4a: 0xd4 0xf4 brge .+52 ; 0x80 0x4c: 0xcc 0xf4 brge .+50 ; 0x80 0x4e: 0xc4 0xf4 brge .+48 ; 0x80 0x50: 0xbc 0xf4 brge .+46 ; 0x80 0x52: 0xb4 0xf4 brge .+44 ; 0x80 0x54: 0xac 0xf4 brge .+42 ; 0x80 0x56: 0xa4 0xf4 brge .+40 ; 0x80 0x58: 0x9c 0xf4 brge .+38 ; 0x80 0x5a: 0x94 0xf4 brge .+36 ; 0x80 0x5c: 0x8c 0xf4 brge .+34 ; 0x80 0x5e: 0x84 0xf4 brge .+32 ; 0x80 0x60: 0x7c 0xf4 brge .+30 ; 0x80 0x62: 0x74 0xf4 brge .+28 ; 0x80 0x64: 0x6c 0xf4 brge .+26 ; 0x80 0x66: 0x64 0xf4 brge .+24 ; 0x80 0x68: 0x5c 0xf4 brge .+22 ; 0x80 0x6a: 0x54 0xf4 brge .+20 ; 0x80 0x6c: 0x4c 0xf4 brge .+18 ; 0x80 0x6e: 0x44 0xf4 brge .+16 ; 0x80 0x70: 0x3c 0xf4 brge .+14 ; 0x80 0x72: 0x34 0xf4 brge .+12 ; 0x80 0x74: 0x2c 0xf4 brge .+10 ; 0x80 0x76: 0x24 0xf4 brge .+8 ; 0x80 0x78: 0x1c 0xf4 brge .+6 ; 0x80 0x7a: 0x14 0xf4 brge .+4 ; 0x80 0x7c: 0x0c 0xf4 brge .+2 ; 0x80 0x7e: 0x04 0xf4 brge .+0 ; 0x80 0x80: 0xfc 0xf7 brge .-2 ; 0x80 0x82: 0xf4 0xf7 brge .-4 ; 0x80 0x84: 0xec 0xf7 brge .-6 ; 0x80 0x86: 0xe4 0xf7 brge .-8 ; 0x80 0x88: 0xdc 0xf7 brge .-10 ; 0x80 0x8a: 0xd4 0xf7 brge .-12 ; 0x80 0x8c: 0xcc 0xf7 brge .-14 ; 0x80 0x8e: 0xc4 0xf7 brge .-16 ; 0x80 0x90: 0xbc 0xf7 brge .-18 ; 0x80 0x92: 0xb4 0xf7 brge .-20 ; 0x80 0x94: 0xac 0xf7 brge .-22 ; 0x80 0x96: 0xa4 0xf7 brge .-24 ; 0x80 0x98: 0x9c 0xf7 brge .-26 ; 0x80 0x9a: 0x94 0xf7 brge .-28 ; 0x80 0x9c: 0x8c 0xf7 brge .-30 ; 0x80 0x9e: 0x84 0xf7 brge .-32 ; 0x80 0xa0: 0x7c 0xf7 brge .-34 ; 0x80 0xa2: 0x74 0xf7 brge .-36 ; 0x80 0xa4: 0x6c 0xf7 brge .-38 ; 0x80 0xa6: 0x64 0xf7 brge .-40 ; 0x80 0xa8: 0x5c 0xf7 brge .-42 ; 0x80 0xaa: 0x54 0xf7 brge .-44 ; 0x80 0xac: 0x4c 0xf7 brge .-46 ; 0x80 0xae: 0x44 0xf7 brge .-48 ; 0x80 0xb0: 0x3c 0xf7 brge .-50 ; 0x80 0xb2: 0x34 0xf7 brge .-52 ; 0x80 0xb4: 0x2c 0xf7 brge .-54 ; 0x80 0xb6: 0x24 0xf7 brge .-56 ; 0x80 0xb8: 0x1c 0xf7 brge .-58 ; 0x80 0xba: 0x14 0xf7 brge .-60 ; 0x80 0xbc: 0x0c 0xf7 brge .-62 ; 0x80 0xbe: 0x04 0xf7 brge .-64 ; 0x80 0xc0: 0xfc 0xf6 brge .-66 ; 0x80 0xc2: 0xf4 0xf6 brge .-68 ; 0x80 0xc4: 0xec 0xf6 brge .-70 ; 0x80 0xc6: 0xe4 0xf6 brge .-72 ; 0x80 0xc8: 0xdc 0xf6 brge .-74 ; 0x80 0xca: 0xd4 0xf6 brge .-76 ; 0x80 0xcc: 0xcc 0xf6 brge .-78 ; 0x80 0xce: 0xc4 0xf6 brge .-80 ; 0x80 0xd0: 0xbc 0xf6 brge .-82 ; 0x80 0xd2: 0xb4 0xf6 brge .-84 ; 0x80 0xd4: 0xac 0xf6 brge .-86 ; 0x80 0xd6: 0xa4 0xf6 brge .-88 ; 0x80 0xd8: 0x9c 0xf6 brge .-90 ; 0x80 0xda: 0x94 0xf6 brge .-92 ; 0x80 0xdc: 0x8c 0xf6 brge .-94 ; 0x80 0xde: 0x84 0xf6 brge .-96 ; 0x80 0xe0: 0x7c 0xf6 brge .-98 ; 0x80 0xe2: 0x74 0xf6 brge .-100 ; 0x80 0xe4: 0x6c 0xf6 brge .-102 ; 0x80 0xe6: 0x64 0xf6 brge .-104 ; 0x80 0xe8: 0x5c 0xf6 brge .-106 ; 0x80 0xea: 0x54 0xf6 brge .-108 ; 0x80 0xec: 0x4c 0xf6 brge .-110 ; 0x80 0xee: 0x44 0xf6 brge .-112 ; 0x80 0xf0: 0x3c 0xf6 brge .-114 ; 0x80 0xf2: 0x34 0xf6 brge .-116 ; 0x80 0xf4: 0x2c 0xf6 brge .-118 ; 0x80 0xf6: 0x24 0xf6 brge .-120 ; 0x80 0xf8: 0x1c 0xf6 brge .-122 ; 0x80 0xfa: 0x14 0xf6 brge .-124 ; 0x80 0xfc: 0x0c 0xf6 brge .-126 ; 0x80 0xfe: 0x04 0xf6 brge .-128 ; 0x80 start .data:
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zy414563492/Advanced-Course-in-Computational-Algorithms
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1-1.sce
clear nrows = 1000 ncols = 1000 density = 0.005 A =sprand(nrows, ncols, density) nnzs = nnz(A) [ij,val]=spget(A) col_ind = ij(:, 2) row_ind = ij(:, 1) row_ptr = [] cur_ind = 0 for k = 1:nnzs if cur_ind <> row_ind(k) then for i = 1:row_ind(k)-cur_ind row_ptr = [row_ptr k] end cur_ind = row_ind(k) end end for i = 1:nrows-nnz(row_ptr)+1 row_ptr($+1) = nnzs+1 end //disp(val) //disp(col_ind) //disp(row_ptr)
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FOSSEE/Scilab-TBC-Uploads
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example2_5.sce
disp('chapter 2 ex2.5') disp('given') disp("from 741 datasheet") disp("Zo=75ohm") disp("Mmax=200000") Zo=75 Mmax=200000 disp("For an voltage follower beta=1") b=1 Zout=Zo/(1+Mmax*b) disp("Typical output impedence") disp('ohms',Zout)
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/1752/CH3/EX3.10/exa3_10.sce
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FOSSEE/Scilab-TBC-Uploads
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refs/heads/master
2020-04-09T02:43:26.499817
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37,975,407
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exa3_10.sce
//Exa 3.10 clc; clear; close; //given data L=0.12;// in meter t=.15*10^-2;// thickness in m K=55.5;// in W/mK h=23.5;// in W/mK T_L=357;// in K T_0=313;// in K // Formula m=sqrt(h*rho/(K*A)) and rho=%pi*d and A=%pi*d*t, putting value of rho and A m=sqrt(h/(K*t)); mL=m*L; mL=floor(mL); // Formula (T_L-T_infinite)/(T_0-T_infinite)= 1/cosh(m*L) T_infinite=(T_L-T_0/cosh(mL))/(1-1/cosh(mL)); T_infinite=ceil(T_infinite); measurement_error=T_infinite-T_L; disp("Measurement Error is : "+string(measurement_error)+" K") // Note: In the book, Unit of answer is wrong
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/GS/SCENARIO/uncover_toy.sce
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jmainpri/move3d-assets
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2021-01-16T17:48:56.669119
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#************************************************************ # Scenario of grande_salle # # date : Tue Jan 31 11:33:27 2012 #************************************************************ p3d_sel_desc_name P3D_ENV grande_salle p3d_sel_desc_name P3D_ROBOT LOTR_TAPE p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT WALLE_TAPE p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT GREY_K7 p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT GREY_TAPE p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT ACHILE_HUMAN1 p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 4.580000 -3.700000 1.006034 0.000000 0.000000 180.000000 0.000000 0.000000 0.000000 0.000000 -30.000000 0.000000 80.000000 0.000000 -20.000000 45.000000 0.000000 0.000000 0.000000 -80.000000 0.000000 20.000000 -45.000000 0.000000 0.000000 0.000000 0.000000 -13.299123 0.000000 29.404361 0.000000 -16.105237 0.000000 0.000000 -13.299123 0.000000 29.404361 0.000000 -16.105237 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT LOWTABLE p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT CHAIR1 p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT CHAIR2 p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT TRASHBIN p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT SHELF p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT HRP2TABLE p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 4.000000 -3.800000 0.100000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT SIMPLECHAIR p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT IKEA_SHELF p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT SURPRISE_BOX p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 3.790000 -4.100000 0.850000 0.000000 0.000000 90.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT TOYCUBE_WOOD p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 3.990000 -4.100000 0.850000 0.000000 0.000000 90.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT PLACEMAT_RED p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 3.800000 -3.750000 0.850000 0.000000 0.000000 1.550000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT PLACEMAT_BLUE p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 3.900000 -4.100000 0.850000 0.000000 0.000000 1.550000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT PLACEMAT_GREEN p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 4.200000 -3.750000 0.850000 0.000000 0.000000 1.550000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT PLACEMAT_PURPLE p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 4.100000 -3.900000 4.850000 0.000000 0.000000 1.550000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT SPACENAVBOX p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT PINK_TRASHBIN p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT PAPERDOG p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT VISBALL_INTERNAL p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT JIDO_GRIPPER p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_constraint p3d_lin_rel_dofs 1 3 1 2 2 1.000000 0.000000 0 p3d_sel_desc_name P3D_ROBOT VISBALL_MIGHTABILITY p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT SAHandRight2 p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_constraint p3d_lin_rel_dofs 1 6 1 5 2 1.000000 0.000000 0 p3d_constraint p3d_lin_rel_dofs 1 10 1 9 2 1.000000 0.000000 0 p3d_constraint p3d_lin_rel_dofs 1 14 1 13 2 1.000000 0.000000 0 p3d_constraint p3d_lin_rel_dofs 1 18 1 17 2 1.000000 0.000000 0 p3d_sel_desc_name P3D_ROBOT DAGGER p3d_set_robot_steering_method Linear p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_sel_desc_name P3D_ROBOT JIDOKUKA_ROBOT p3d_set_robot_steering_method Multi-Localpath p3d_set_robot_radius 1.000000 p3d_set_robot_current 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 3.000000 -3.700000 0.000000 0.000000 0.000000 0.000000 -30.000000 -30.000000 103.132400 20.345732 -1.100079 86.751537 5.397262 -35.683811 -11.791471 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_set_robot_goto 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 p3d_constraint p3d_lin_rel_dofs 1 14 1 13 2 1.000000 0.000000 0 p3d_constraint p3d_lwr_arm_ik 6 5 6 8 9 10 11 1 19 0 2 7 2 p3d_set_cntrt_Tatt 1 -0.438683 0.100912 0.892958 -0.246214 0.897586 0.001049 0.440839 -0.172975 0.043549 0.994895 -0.091037 0.029823 p3d_set_cntrt_Tatt2 1 -0.382683 -0.923879 0.000000 0.000000 0.923879 -0.382683 0.000000 0.000000 0.000000 0.000000 1.000000 -0.270000 p3d_set_object_base_and_arm_constraints 19 1 0 1 1 p3d_set_arm_data 1 0 19 p3d_set_camera_pos 3.000000 -3.500000 1.000000 4.000000 -0.700000 0.700000 0.000000 0.000000 1.000000 0.000000
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roots.tst
% Tests of the root finding package. % Author: Stanley L. Kameny (stan%valley.uucp@rand.org) comment This test file works only with Reduce version 3.5 and later and contains examples all of which are solved by roots mod 1.94. Answers are rounded to the value given by rootacc (default = 6) unless higher accuracy is needed to separate roots. Format may differ from that given here, but root order and values should agree exactly. (Although the function ROOTS may obtain the roots in a diffferent order, they are sorted into a standard order in mod 1.94.) In the following, problems 20) and 82) are time consuming and have been commented out to speed up the test. The hard examples 111) through 115) almost double the test time but are necessary to test some logical paths. A new "hardest" example has been added as example 116). It is commented out, since it is time consuming, but it is solved by roots mod 1.94. The time needed to run the three commented-out examples is almost exactly equal to the time for the rest of the test. Users of fast computers can uncomment the lines marked with %**%. The three examples by themselves are contained in the test file rootsxtr.tst. When answers are produced which require precision increase for printing out or input of roots, roots functions cause precision increase to occur. If the precision is already higher than the default value, a message is printed out warning of the the precision normally needed for input of those values.$ roots x; % To load roots package. write "This is Roots Package test ", symbolic roots!-mod$ % Simple root finding. showtime; % 1) multiple real and imaginary roots plus two real roots. zz:= (x-3)**2*(100x**2+113)**2*(1000000x-10000111)*(x-1); roots zz; %{x=1.06301*i,x=1.06301*i,x=-1.06301*i,x=-1.06301*i, %x=3.0,x=3.0,x=1,x=10.0001} (rootacc caused rounding to 6 places) % Accuracy is increased whenever necessary to separate distinct roots. % 2) accuracy increase to 7 required for two roots. zz:=(x**2+1)*(x-2)*(1000000x-2000001); roots zz; %{x=i,x= -i,x=2.0,x=2.000001} % 3) accuracy increase to 8 required. zz:= (x-3)*(10000000x-30000001); roots zz; %{x=3.0,x=3.0000001} % 4) accuracy increase required here to separate repeated root from % simple root. zz := (x-3)*(1000000x-3000001)*(x-3)*(1000000x-3241234); roots zz; %{x=3.0,x=3.0,x=3.000001,x=3.24123} % other simple examples % 5) five real roots with widely different spacing. zz:= (x-1)*(10x-11)*(x-1000)*(x-1001)*(x-100000); roots zz; %{x=1,x=1.1,x=1000.0,x=1001.0,x=1.0E+5} % 6) a cluster of 5 roots in complex plane in vicinity of x=1. zz:= (x-1)*(10000x**2-20000x+10001)*(10000x**2-20000x+9999); roots zz; %{x=0.99,x=1,x=1 + 0.01*i,x=1 - 0.01*i,x=1.01} % 7) four closely spaced real roots. zz := (x-1)*(100x-101)*(100x-102)*(100x-103); roots zz; %{x=1,x=1.01,x=1.02,x=1.03} % 8) five closely spaced roots, 3 real + 1 complex pair. zz := (x-1)*(100x-101)*(100x-102)*(100x**2-200x+101); roots zz; %{x=1,x=1 + 0.1*i,x=1 - 0.1*i,x=1.01,x=1.02} % 9) symmetric cluster of 5 roots, 3 real + 1 complex pair. zz := (x-2)*(10000x**2-40000x+40001)*(10000x**2-40000x+39999); roots zz; %{x=1.99,x=2.0,x=2.0 + 0.01*i,x=2.0 - 0.01*i,x=2.01} % 10) closely spaced real and complex pair. ss:= (x-2)*(100000000x**2-400000000x+400000001); roots ss; %{x=2.0,x=2.0 + 0.0001*i,x=2.0 - 0.0001*i} % 11) Zero roots and multiple roots cause no problem. % Multiple roots are shown when the switch multiroot is on %(normally on.) zz:= x*(x-1)**2*(x-4)**3*(x**2+1); roots zz; %{x=0,x=4.0,x=4.0,x=4.0,x=1,x=1,x=i,x= - i} % 12) nearestroot will find a single root "near" a value, real or % complex. nearestroot(zz,2i); %{x=i} % More difficult examples. % Three examples in which root scaling is needed in the complex % iteration process. % 13) nine roots, 3 real and 3 complex pairs. zz:= x**9-45x-2; roots zz; %{x= - 1.60371,x=-1.13237 + 1.13805*i,x=-1.13237 - 1.13805*i, % x= - 0.0444444,x=0.00555357 + 1.60944*i,x=0.00555357 - 1.60944*i, % x=1.14348 + 1.13804*i,x=1.14348 - 1.13804*i,x=1.61483} comment In the next two examples, there are complex roots with extremely small real parts (new capability in Mod 1.91.); % 14) nine roots, 1 real and 4 complex pairs. zz:= x**9-9999x**2-0.01; roots zz; %{x=-3.3584 + 1.61732*i,x=-3.3584 - 1.61732*i, % x=-0.829456 + 3.63408*i,x=-0.829456 - 3.63408*i, % x=5.0025E-29 + 0.00100005*i,x=5.0025E-29 - 0.00100005*i, % x=2.32408 + 2.91431*i,x=2.32408 - 2.91431*i,x=3.72754} comment Rootacc 7 produces 7 place accuracy. Answers will print in bigfloat format if floating point print >6 digits is not implemented.; % 15) nine roots, 1 real and 4 complex pairs. rootacc 7; zz:= x**9-500x**2-0.001; roots zz; %{x=-2.189157 + 1.054242*i,x=-2.189157 - 1.054242*i, % x=-0.5406772 + 2.368861*i,x=-0.5406772 - 2.368861*i, % x=1.6E-26 + 0.001414214*i,x=1.6E-26 - 0.001414214*i, % x=1.514944 + 1.899679*i,x=1.514944 - 1.899679*i,x=2.429781} % the famous Wilkinson "ill-conditioned" polynomial and its family. % 16) W(6) four real roots plus one complex pair. zz:= 10000*(for j:=1:6 product(x+j))+27x**5; roots zz; %{x= - 6.143833,x=-4.452438 + 0.02123455*i,x=-4.452438 - 0.02123455*i, % x= - 2.950367,x= - 2.003647,x= - 0.9999775} % 17) W(8) 4 real roots plus 2 complex pairs. zz:= 1000*(for j:=1:8 product(x+j))+2x**7; roots zz; %{x= - 8.437546,x=-6.494828 + 1.015417*i,x=-6.494828 - 1.015417*i, % x=-4.295858 + 0.2815097*i,x=-4.295858 - 0.2815097*i, % x= - 2.982725,x= - 2.000356,x= - 0.9999996} % 18) W(10) 6 real roots plus 2 complex pairs. zz:=1000*(for j:= 1:10 product (x+j))+x**9; roots zz; %{x= - 10.80988,x=-8.70405 + 1.691061*i,x=-8.70405 - 1.691061*i, % x=-6.046279 + 1.134321*i,x=-6.046279 - 1.134321*i,x= - 4.616444, % x= - 4.075943,x= - 2.998063,x= - 2.000013,x= - 1} % 19) W(12) 6 real roots plus 3 complex pairs. zz:= 10000*(for j:=1:12 product(x+j))+4x**11; roots zz; %{x= - 13.1895,x=-11.02192 + 2.23956*i,x=-11.02192 - 2.23956*i, % x=-7.953917 + 1.948001*i,x=-7.953917 - 1.948001*i, % x=-5.985629 + 0.8094247*i,x=-5.985629 - 0.8094247*i, % x= - 4.880956,x= - 4.007117,x= - 2.999902,x= - 2.0,x= - 1} % 20) W(20) 10 real roots plus 5 complex pairs. (The original problem) % This example is commented out, since it takes significant time without % being particularly difficult or checking out new paths: %**% zz:= x**19+10**7*for j:=1:20 product (x+j); roots zz; %{x= - 20.78881,x=-19.45964 + 1.874357*i,x=-19.45964 - 1.874357*i, % x=-16.72504 + 2.731577*i,x=-16.72504 - 2.731577*i, % x=-14.01105 + 2.449466*i,x=-14.01105 - 2.449466*i, % x=-11.82101 + 1.598621*i,x=-11.82101 - 1.598621*i, % x=-10.12155 + 0.6012977*i,x=-10.12155 - 0.6012977*i, % x= - 8.928803,x= - 8.006075,x= - 6.999746,x= - 6.000006, % x= - 5.0,x= - 4.0,x= - 3.0,x= - 2.0,x= - 1} rootacc 6; % 21) Finding one of a cluster of 8 roots. zz:= (10**16*(x-1)**8-1); nearestroot(zz,2); %{x=1.01} % 22) Six real roots spaced 0.01 apart. c := 100; zz:= (x-1)*for i:=1:5 product (c*x-(c+i)); roots zz; %{x=1,x=1.01,x=1.02,x=1.03,x=1.04,x=1.05} % 23) Six real roots spaced 0.001 apart. c := 1000; zz:= (x-1)*for i:=1:5 product (c*x-(c+i)); roots zz; %{x=1,x=1.001,x=1.002,x=1.003,x=1.004,x=1.005} % 24) Five real roots spaced 0.0001 apart. c := 10000; zz:= (x-1)*for i:=1:4 product (c*x-(c+i)); roots zz; %{x=1,x=1.0001,x=1.0002,x=1.0003,x=1.0004} % 25) A cluster of 9 roots, 5 real, 2 complex pairs; spacing 0.1. zz:= (x-1)*(10**8*(x-1)**8-1); roots zz; %{x=0.9,x=0.929289 + 0.0707107*i,x=0.929289 - 0.0707107*i, % x=1,x=1 + 0.1*i,x=1 - 0.1*i, % x=1.07071 + 0.0707107*i,x=1.07071 - 0.0707107*i,x=1.1} % 26) Same, but with spacing 0.01. zz:= (x-1)*(10**16*(x-1)**8-1); roots zz; %{x=0.99,x=0.992929 + 0.00707107*i,x=0.992929 - 0.00707107*i, % x=1,x=1 + 0.01*i,x=1 - 0.01*i, % x=1.00707 + 0.00707107*i,x=1.00707 - 0.00707107*i,x=1.01} % 27) Spacing reduced to 0.001. zz:= (x-1)*(10**24*(x-1)**8-1); roots zz; %{x=0.999,x=0.999293 + 0.000707107*i,x=0.999293 - 0.000707107*i, % x=1,x=1 + 0.001*i,x=1 - 0.001*i, % x=1.00071 + 0.000707107*i,x=1.00071 - 0.000707107*i,x=1.001} % 28) Eight roots divided into two clusters. zz:= (10**8*(x-1)**4-1)*(10**8*(x+1)**4-1); roots zz; %{x= - 0.99,x=0.99, x=-1 - 0.01*i,x=1 + 0.01*i, % x=-1 + 0.01*i,x=1 - 0.01*i,x= - 1.01,x=1.01} % 29) A cluster of 8 roots in a different configuration. zz:= (10**8*(x-1)**4-1)*(10**8*(100x-102)**4-1); roots zz; %{x=0.99,x=1 + 0.01*i,x=1 - 0.01*i,x=1.01, % x=1.0199,x=1.02 + 0.0001*i,x=1.02 - 0.0001*i,x=1.0201} % 30) A cluster of 8 complex roots. zz:= ((10x-1)**4+1)*((10x+1)**4+1); roots zz; %{x=-0.0292893 - 0.0707107*i,x=0.0292893 + 0.0707107*i, % x=-0.0292893 + 0.0707107*i,x=0.0292893 - 0.0707107*i, % x=-0.170711 - 0.0707107*i,x=0.170711 + 0.0707107*i, % x=-0.170711 + 0.0707107*i,x=0.170711 - 0.0707107*i} comment In these examples, accuracy increase is required to separate a repeated root from a simple root.; % 31) Using allroots; zz:= (x-4)*(x-3)**2*(1000000x-3000001); roots zz; %{x=3.0,x=3.0,x=3.000001,x=4.0} % 32) Using realroots; realroots zz; %{x=3.0,x=3.0,x=3.000001,x=4.0} comment Tests of new capabilities in mod 1.87 for handling complex polynomials and polynomials with very small imaginary parts or very small real roots. A few real examples are shown, just to demonstrate that these still work.; % 33) A trivial complex case (but degrees 1 and 2 are special cases); zz:= x-i; roots zz; %{x=i} % 34) Real case. zz:= y-7; roots zz; %{y=7.0} % 35) Roots with small imaginary parts (new capability); zz := 10**16*(x**2-2x+1)+1; roots zz; %{x=1 + 0.00000001*i,x=1 - 0.00000001*i} % 36) One real, one complex root. zz:=(x-9)*(x-5i-7); roots zz; %{x=9.0,x=7.0 + 5.0*i} % 37) Three real roots. zz:= (x-1)*(x-2)*(x-3); roots zz; %{x=1,x=2.0,x=3.0} % 38) 2 real + 1 imaginary root. zz:=(x**2-8)*(x-5i); roots zz; %{x= - 2.82843,x=2.82843,x=5.0*i} % 39) 2 complex roots. zz:= (x-1-2i)*(x+2+3i); roots zz; %{x=-2.0 - 3.0*i,x=1 + 2.0*i} % 40) 2 irrational complex roots. zz:= x**2+(3+2i)*x+7i; roots zz; %{x=-3.14936 + 0.21259*i,x=0.149358 - 2.21259*i} % 41) 2 complex roots of very different magnitudes with small imaginary % parts. zz:= x**2+(1000000000+12i)*x-1000000000; roots zz; %{x=-1.0E+9 - 12.0*i,x=1 - 0.000000012*i} % 42) Multiple real and complex roots cause no difficulty, provided % that input is given in integer or rational form, (or if in decimal % fraction format, with switch rounded off or adjprec on and % coefficients input explicitly,) so that polynomial is stored exactly. zz :=(x**2-2i*x+5)**3*(x-2i)*(x-11/10)**2; roots zz; %{x=-1.44949*i, x=-1.44949*i, x=-1.44949*i, % x=3.44949*i, x=3.44949*i, x=3.44949*i, x=1.1, x=1.1, x=2.0*i} % 42a) would have failed in roots Mod 1.93 and previously (bug) realroots zz; %{x=1.1,x=1.1} % 43) 2 real, 2 complex roots. zz:= (x**2-4)*(x**2+3i*x+5i); roots zz; %{x= - 2.0,x=2.0,x=-1.2714 + 0.466333*i,x=1.2714 - 3.46633*i} % 44) 4 complex roots. zz:= x**4+(0.000001i)*x-16; roots zz; %{x=-2.0 - 0.0000000625*i,x=-2.0*i,x=2.0*i,x=2.0 - 0.0000000625*i} % 45) 2 real, 2 complex roots. zz:= (x**2-4)*(x**2+2i*x+8); roots zz; %{x= - 2.0,x=2.0,x=-4.0*i,x=2.0*i} % 46) Using realroots to find only real roots. realroots zz; %{x= - 2.0,x=2.0} % 47) Same example, applying nearestroot to find a single root. zz:= (x**2-4)*(x**2+2i*x+8); nearestroot(zz,1); %{x=2.0} % 48) Same example, but focusing on imaginary point. nearestroot(zz,i); %{x=2.0*i} % 49) The seed parameter can be complex also. nearestroot(zz,1+i); %{x=2.0*i} % 50) One more nearestroot example. Nearest root to real point may be % complex. zz:= (x**2-4)*(x**2-i); roots zz; %{x= - 2.0,x=2.0,x=-0.707107 - 0.707107*i,x=0.707107 + 0.707107*i} nearestroot (zz,1); %{X=0.707107 + 0.707107*i} % 51) 1 real root plus 5 complex roots. zz:=(x**3-3i*x**2-5x+9)*(x**3-8); roots zz; %{x=-1 + 1.73205*i,x=-1 - 1.73205*i,x=2.0, % x=-2.41613 + 1.19385*i,x=0.981383 - 0.646597*i,x=1.43475 + 2.45274*i} nearestroot(zz,1); %{x=0.981383 - 0.646597*i} % 52) roots can be computed to any accuracy desired, eg. (note that the % imaginary part of the second root is truncated because of its size, % and that the imaginary part of a complex root is never polished away, % even if it is smaller than the accuracy would require.) zz := x**3+10**(-20)*i*x**2+8; rootacc 12; roots zz; rootacc 6; %{x=-2.0 - 3.33333333333E-21*i,x=1 - 1.73205080757*i, % x=1 + 1.73205080757*i} % 53) Precision of 12 required to find small imaginary root, % but standard accuracy can be used. zz := x**2+123456789i*x+1; roots zz; %{x=-1.23457E+8*i,x=0.0000000081*i} % 54) Small real root is found with root 10*18 times larger(new). zz := (x+1)*(x**2+123456789*x+1); roots zz; %{x= - 1.23457E+8,x= - 1,x= - 0.0000000081} % 55) 2 complex, 3 real irrational roots. ss := (45*x**2+(-10i+12)*x-10i)*(x**3-5x**2+1); roots ss; %{x= - 0.429174,x=0.469832,x=4.95934, % x=-0.448056 - 0.19486*i,x=0.18139 + 0.417083*i} % 56) Complex polynomial with floating coefficients. zz := x**2+1.2i*x+2.3i+6.7; roots zz; %{x=-0.427317 + 2.09121*i,x=0.427317 - 3.29121*i} % 56a) multiple roots will be found if coefficients read in exactly. % Exact read-in will occur unless dmode is rounded or complex-rounded. zz := x**3 + (1.09 - 2.4*i)*x**2 + (-1.44 - 2.616*i)*x + -1.5696; roots zz; %{x=1.2*i,x=1.2*i,x= - 1.09} % 57) Realroots, isolater and rlrootno accept 1, 2 or 3 arguments: (new) zz:= for j:=-1:3 product (x-j); rlrootno zz; % 5 realroots zz; %{x=0,x= -1,x=1,x=2.0,x=3.0} rlrootno(zz,positive); %positive selects positive, excluding 0. % 3 rlrootno(zz,negative); %negative selects negative, excluding 0. % 1 realroots(zz,positive); %{x=1,x=2.0,x=3.0} rlrootno(zz,-1.5,2); %the format with 3 arguments selects a range. % 4 realroots(zz,-1.5,2); %the range is inclusive, except that: %{x=0,x= - 1,x=1,x=2.0} % A specific limit b may be excluded by using exclude b. Also, the % limits infinity and -infinity can be specified. realroots(zz,exclude 0,infinity); % equivalent to realroots(zz,positive). %{x=1,x=2.0,x=3.0} rlrootno(zz,-infinity,exclude 0); % equivalent to rlrootno(zz,negative). % 1 rlrootno(zz,-infinity,0); % 2 rlrootno(zz,infinity,-infinity); %equivalent to rlrootno zz; (order of limits does not matter.) % 5 realroots(zz,1,infinity); % finds all real roots >= 1. %{x=1,x=2.0,x=3.0} realroots(zz,1,positive); % finds all real roots > 1. %{x=2.0,x=3.0} % 57a) Bug corrected in mod 1.94. (handling of rational limits) zz := (x-1/3)*(x-1/5)*(x-1/7)*(x-1/11); realroots(zz,1/11,exclude(1/3)); %{x=0.0909091,x=0.142857,x=0.2} realroots(zz,exclude(1/11),1/3); %{x=0.142857,x=0.2,x=0.333333} % New capabilities added in mod 1.88. % 58) 3 complex roots, with two separated by very small real difference. zz :=(x+i)*(x+10**8i)*(x+10**8i+1); roots zz; %{x=-1 - 1.0E+8*i,x=-1.0E+8*i,x= - i} % 59) Real polynomial with two complex roots separated by very small % imaginary part. zz:= (10**14x+123456789000000+i)*(10**14x+123456789000000-i); roots zz; %{x=-1.23457 + 1.0E-14*i,x=-1.23457 - 1.0E-14*i} % 60) Real polynomial with two roots extremely close together. zz:= (x+2)*(10**10x+12345678901)*(10**10x+12345678900); roots zz; %{x= - 2.0,x= - 1.2345678901,x= - 1.23456789} % 61) Real polynomial with multiple root extremely close to simple root. zz:= (x-12345678/10000000)*(x-12345679/10000000)**2; roots zz; %{x=1.2345679,x=1.2345679,x=1.2345678} % 62) Similar problem using realroots. zz:=(x-2**30/10**8)**2*(x-(2**30+1)/10**8); realroots zz; %{x=10.73741824,x=10.73741824,x=10.73741825} % 63) Three complex roots with small real separation between two. zz:= (x-i)*(x-1-10**8i)*(x-2-10**8i); roots zz; %{x=i,x=1 + 1.0E+8*i,x=2.0 + 1.0E+8*i} % 64) Use of nearestroot to isolate one of the close roots. nearestroot(zz,10**8i+99/100); %{x=1 + 1.0E+8*i} % 65) Slightly more complicated example with close complex roots. zz:= (x-i)*(10**8x-1234-10**12i)*(10**8x-1233-10**12i); roots zz; %{x=i,x=0.00001233 + 10000.0*i,x=0.00001234 + 10000.0*i} % 66) Four closely spaced real roots with varying spacings. zz:= (x-1+1/10**7)*(x-1+1/10**8)*(x-1)*(x-1-1/10**7); roots zz; %{x=0.9999999,x=0.99999999,x=1,x=1.0000001} % 67) Complex pair plus two close real roots. zz:= (x**2+1)*(x-12345678/10000000)*(x-12345679/10000000); roots zz; %{x=i,x= - i,x=1.2345678,x=1.2345679} % 68) Same problem using realroots to find only real roots. realroots zz; %{x=1.2345678,x=1.2345679} % The switch ratroot causes output to be given in rational form. % 69) Two complex roots with output in rational form. on ratroot,complex; zz:=x**2-(5i+1)*x+1; sss:= roots zz; % 346859 - 1863580*i 482657 + 2593180*i %sss := {x=--------------------,x=--------------------} % 10000000 500000 % With roots in rational form, mkpoly can be used to reconstruct a % polynomial. zz1 := mkpoly sss; % 2 %zz1 := 5000000000000*x - (4999999500000 + 25000010000000*i)*x % % + 5000012308763 - 2110440*i % Finding the roots of the new polynomial zz1. rr:= roots zz1; % 346859 - 1863580*i 482657 + 2593180*i %rr := {x=--------------------,x=--------------------} % 10000000 500000 % The roots are stable to the extent that rr=ss, although zz1 and % zz may differ. zz1 - zz; % 2 %4999999999999*x - (4999999499999 + 25000009999995*i)*x % % + 5000012308762 - 2110440*i % 70) Same type of problem in which roots are found exactly. zz:=(x-10**8+i)*(x-10**8-i)*(x-10**8+3i/2)*(x-i); rr := roots zz; % 4 3 2 %zz := (2*x - (600000000 - i)*x + 60000000000000005*x % % - (2000000000000000800000000 + 29999999999999999*i)*x % % + (30000000000000003 + 2000000000000000200000000*i))/2 %rr := {x=100000000 + i,x=100000000 - i,x=i, % % 200000000 - 3*i % x=-----------------} % 2 % Reconstructing a polynomial from the roots. ss := mkpoly rr; % 4 3 2 %ss := 2*x - (600000000 - i)*x + 60000000000000005*x % % - (2000000000000000800000000 + 29999999999999999*i)*x % % + (30000000000000003 + 2000000000000000200000000*i) % In this case, the same polynomial is obtained. ss - num zz; % 0 % 71) Finding one of the complex roots using nearestroot. nearestroot(zz,10**8-2i); % 200000000 - 3*I %{x=-----------------} % 2 % Finding the other complex root using nearestroot. nearestroot(zz,10**8+2i); %{x=100000000 + I} % 72) A realroots problem which requires accuracy increase to avoid % confusion of two roots. zz:=(x+1)*(10000000x-19999999)*(1000000x-2000001)*(x-2); realroots zz; % 19999999 2000001 % {x=-1,x=----------,x=2,x=---------} % 10000000 1000000 % 73) Without the accuracy increase, this example would produce the % obviously incorrect answer 2. realroots(zz,3/2,exclude 2); % 19999999 % {x=----------} % 10000000 % Rlrootno also gives the correct answer in this case. rlrootno(zz,3/2,exclude 2); % 1 % 74) Roots works equally well in this problem. rr := roots zz; % 19999999 2000001 %rr := {x= - 1,x=----------,x=2,x=---------} % 10000000 1000000 % 75) The function getroot is convenient for obtaining the value of a % root. rr1 := getroot(1,rr); % 19999999 % rr1 := ---------- % 10000000 % 76) For example, the value can be used as an argument to nearestroot. nearestroot(zz,rr1); % 19999999 % {x=----------} % 10000000 comment New capabilities added to Mod 1.90 for avoiding floating point exceptions and exceeding iteration limits.; % 77) This and the next example would previously have aborted because %of exceeding iteration limits: off ratroot; zz := x**16 - 900x**15 -2; roots zz; %{x= - 0.665423,x=-0.607902 + 0.270641*i,x=-0.607902 - 0.270641*i, % x=-0.44528 + 0.494497*i, x=-0.44528 - 0.494497*i, % x=-0.205664 + 0.632867*i,x=-0.205664 - 0.632867*i, % x=0.069527 + 0.661817*i,x=0.069527 - 0.661817*i, % x=0.332711 + 0.57633*i,x=0.332711 - 0.57633*i, % x=0.538375 + 0.391176*i,x=0.538375 - 0.391176*i, % x=0.650944 + 0.138369*i,x=0.650944 - 0.138369*i,x=900.0} % 78) a still harder example. zz := x**30 - 900x**29 - 2; roots zz; %{x= - 0.810021,x=-0.791085 + 0.174125*i,x=-0.791085 - 0.174125*i, % x=-0.735162 + 0.340111*i,x=-0.735162 - 0.340111*i, % x=-0.644866 + 0.490195*i,x=-0.644866 - 0.490195*i, % x=-0.524417 + 0.617362*i,x=-0.524417 - 0.617362*i, % x=-0.379447 + 0.715665*i,x=-0.379447 - 0.715665*i, % x=-0.216732 + 0.780507*i,x=-0.216732 - 0.780507*i, % x=-0.04388 + 0.808856*i,x=-0.04388 - 0.808856*i, % x=0.131027 + 0.799383*i,x=0.131027 - 0.799383*i, % x=0.299811 + 0.752532*i,x=0.299811 - 0.752532*i, % x=0.454578 + 0.67049*i,x=0.454578 - 0.67049*i, % x=0.588091 + 0.557094*i,x=0.588091 - 0.557094*i, % x=0.694106 + 0.417645*i,x=0.694106 - 0.417645*i, % x=0.767663 + 0.258664*i,x=0.767663 - 0.258664*i, % x=0.805322 + 0.0875868*i,x=0.805322 - 0.0875868*i,x=900.0} % 79) this deceptively simple example previously caused floating point % overflows on some systems: aa := x**6 - 4*x**3 + 2; realroots aa; %{x=0.836719,x=1.50579} % 80) a harder problem, which would have failed on almost all systems: rr := x**16 - 90000x**15 - x**2 -2; realroots rr; %{x= - 0.493299,x=90000.0} % 81) this example would have failed because of floating point % exceptions on almost all computer systems. rr := x**30 - 9*10**10*x**29 - 2; realroots rr; %{x= - 0.429188,x=9.0E+10} % 82) a test of allroot on this example. % This example is commented out because it takes significant time % without breaking new ground. %**% roots rr; %{x= - 0.429188, % x=-0.419154 + 0.092263*i,x=-0.419154 - 0.092263*i, % x=-0.389521 + 0.180211*i,x=-0.389521 - 0.180211*i, % x=-0.341674 + 0.259734*i,x=-0.341674 - 0.259734*i, % x=-0.277851 + 0.327111*i,x=-0.277851 - 0.327111*i, % x=-0.201035 + 0.379193*i,x=-0.201035 - 0.379193*i, % x=-0.11482 + 0.413544*i,x=-0.11482 - 0.413544*i, % x=-0.0232358 + 0.428559*i,x=-0.0232358 - 0.428559*i, % x=0.0694349 + 0.423534*i,x=0.0694349 - 0.423534*i, % x=0.158859 + 0.398706*i,x=0.158859 - 0.398706*i, % x=0.240855 + 0.355234*i,x=0.240855 - 0.355234*i, % x=0.311589 + 0.295153*i,x=0.311589 - 0.295153*i, % x=0.367753 + 0.22127*i,x=0.367753 - 0.22127*i, % x=0.406722 + 0.13704*i,x=0.406722 - 0.13704*i, % x=0.426672 + 0.0464034*i,x=0.426672 - 0.0464034*i,x=9.0E+10} % 83) test of starting point for iteration: no convergence if good % real starting point is not found. zz := x**30 -9*10**12x**29 -2; firstroot zz; %{x= - 0.36617} % 84) a case in which there are no real roots and good imaginary % starting point must be used or roots cannot be found. zz:= 9x**16 - x**5 +1; roots zz; %{x=-0.866594 + 0.193562*i,x=-0.866594 - 0.193562*i, % x=-0.697397 + 0.473355*i,x=-0.697397 - 0.473355*i, % x=-0.510014 + 0.716449*i,x=-0.510014 - 0.716449*i, % x=-0.161318 + 0.87905*i,x=-0.161318 - 0.87905*i, % x=0.182294 + 0.828368*i,x=0.182294 - 0.828368*i, % x=0.459373 + 0.737443*i,x=0.459373 - 0.737443*i, % x=0.748039 + 0.494348*i,x=0.748039 - 0.494348*i, % x=0.845617 + 0.142879*i,x=0.845617 - 0.142879*i} % 85) five complex roots. zz := x**5 - x**3 + i; roots zz; %{x=-1.16695 - 0.217853*i,x=-0.664702 + 0.636663*i,x=-0.83762*i, % x=0.664702 + 0.636663*i,x=1.16695 - 0.217853*i} % Additional capabilities in Mod 1.91. % 86) handling of polynomial with huge or infinitesimal coefficients. precision reset; on rounded; precision reset; % so that the system will start this example in floating point. Rounded % is on so that the polynomial won't fill the page! zz:= 1.0e-500x**3+x**2+x; roots zz; off rounded; % rounded not normally needed for roots. %{x=0,x= - 1.0E+500,x= - 1} off roundbf; comment Switch roundbf will have been turned on in the last example in most computer systems. This will inhibit the use of hardware floating point unless roundbf is turned off. Polynomials which make use of powergcd substitution and cascaded solutions. Uncomplicated cases.; switch powergcd; % introduced here to verify that same answers are % obtained with and without employing powergcd strategy. Roots are % found faster for applicable cases when !*powergcd=t (default state.) % 87) powergcd done at the top level. zz := x**12-5x**9+1; roots zz; %{x=-0.783212 + 0.276071*i,x=0.152522 - 0.816316*i, % x=0.63069 + 0.540246*i,x=-0.783212 - 0.276071*i, % x=0.152522 + 0.816316*i,x=0.63069 - 0.540246*i, % x=-0.424222 + 0.734774*i,x=-0.424222 - 0.734774*i,x=0.848444, % x=-0.85453 + 1.48009*i,x=-0.85453 - 1.48009*i,x=1.70906} off powergcd; roots zz; on powergcd; %{x=-0.85453 + 1.48009*i,x=-0.85453 - 1.48009*i, % x=-0.783212 + 0.276071*i,x=-0.783212 - 0.276071*i, % x=-0.424222 + 0.734774*i,x=-0.424222 - 0.734774*i, % x=0.152522 + 0.816316*i,x=0.152522 - 0.816316*i, % x=0.63069 + 0.540246*i,x=0.63069 - 0.540246*i,x=0.848444,x=1.70906} % 88) powergcd done after square free factoring. zz := (x-1)**2*zz; roots zz; %{x=1,x=1, % x=-0.783212 + 0.276071*i,x=0.152522 - 0.816316*i, % x=0.63069 + 0.540246*i,x=-0.783212 - 0.276071*i, % x=0.152522 + 0.816316*i,x=0.63069 - 0.540246*i, % x=-0.424222 + 0.734774*i,x=-0.424222 - 0.734774*i,x=0.848444, % x=-0.85453 + 1.48009*i,x=-0.85453 - 1.48009*i,x=1.70906} off powergcd; roots zz; on powergcd; %{x=1,x=1, % x=-0.85453 + 1.48009*i,x=-0.85453 - 1.48009*i, % x=-0.783212 + 0.276071*i,x=-0.783212 - 0.276071*i, % x=-0.424222 + 0.734774*i,x=-0.424222 - 0.734774*i, % x=0.152522 + 0.816316*i,x=0.152522 - 0.816316*i, % x=0.63069 + 0.540246*i,x=0.63069 - 0.540246*i, % x=0.848444,x=1.70906} % 89) powergcd done after separation into real and complex polynomial. zz := x**5-i*x**4+x**3-i*x**2+x-i; roots zz; %{x=-0.5 - 0.866025*i,x=0.5 + 0.866025*i, % x=-0.5 + 0.866025*i,x=0.5 - 0.866025*i,x=i} off powergcd; roots zz; on powergcd; %{x=-0.5 + 0.866025*i,x=-0.5 - 0.866025*i, % x=0.5 + 0.866025*i,x=0.5 - 0.866025*i,x=i} % Cases where root separation requires accuracy and/or precision % increase. In some examples we get excess accuracy, but it is hard % avoid this and still get all roots separated. % 90) accuracy increase required to separate close roots; let x=y**2; zz:= (x-3)*(100000000x-300000001); roots zz; %{y= - 1.732050808,y=1.732050808,y= - 1.73205081,y=1.73205081} off powergcd; roots zz; on powergcd; %{y= - 1.73205081,y= - 1.732050808,y=1.732050808,y=1.73205081} % 91) roots to be separated are on different square free factors. zz:= (x-3)**2*(10000000x-30000001); roots zz; %{y= - 1.73205081,y= - 1.73205081,y=1.73205081,y=1.73205081, % y= - 1.73205084,y=1.73205084} off powergcd; roots zz; on powergcd; %{y= - 1.73205081,y= - 1.73205081,y=1.73205081,y=1.73205081, % y= - 1.73205084,y=1.73205084} % 91a) A new capability for nearestroot: nearestroot(zz,1.800000000001); % should find the root to 13 places. %{y=1.732050836436} % 92) roots must be separated in the complex polynomial factor only. zz :=(y+1)*(x+10**8i)*(x+10**8i+1); roots zz; %{y= - 1, % y=-7071.067777 + 7071.067847*i,y=7071.067777 - 7071.067847*i, % y=-7071.067812 + 7071.067812*i,y=7071.067812 - 7071.067812*i} % 93) zz := (x-2)**2*(1000000x-2000001)*(y-1); roots zz; %{y= - 1.4142136,y= - 1.4142136,y=1.4142136,y=1.4142136, % y= - 1.4142139,y=1,y=1.4142139} % 94) zz := (x-2)*(10000000x-20000001); roots zz; %{y= - 1.41421356 ,y=1.41421356 ,y= - 1.4142136,y=1.4142136} % 95) zz := (x-3)*(10000000x-30000001); roots zz; %{y= - 1.73205081 ,y=1.73205081 ,y= - 1.73205084 ,y=1.73205084} % 96) zz := (x-9)**2*(1000000x-9000001); roots zz; %{y= - 3.0,y= - 3.0,y=3.0,y=3.0,y= - 3.00000017,y=3.00000017} % 97) zz := (x-3)**2*(1000000x-3000001); roots zz; %{y= - 1.7320508,y= - 1.7320508,y=1.7320508,y=1.7320508, % y= - 1.7320511,y=1.7320511} % 98) the accuracy of the root sqrt 5 depends upon another close root. % Although one of the factors is given in decimal notation, it is not % necessary to turn rounded on. rootacc 10; % using rootacc to specify the minumum desired accuracy. zz := (y^2-5)*(y-2.2360679775); % in this case, adding one place to the root near sqrt 5 causes a % required increase of 4 places in accuracy of the root at sqrt 5. roots zz; %{y= - 2.236067977,y=2.2360679774998,y=2.2360679775} realroots zz; % should get the same answer from realroots. %{y= - 2.2360679775,y=2.2360679774998,y=2.2360679775} % 99) The same thing also happens when the root near sqrt 5 is on a % different square-free factor. zz := (y^2-5)^2*(y-2.2360679775); roots zz; %{y= - 2.236067977,y= - 2.236067977,y=2.2360679774998, % y=2.2360679774998,y=2.2360679775} realroots zz; % realroots handles this case also. %{y= - 2.236067977,y= - 2.236067977,y=2.2360679774998,y=2.2360679774998, % y=2.2360679775} % 100) rootacc 6; zz := (y-i)*(x-2)*(1000000x-2000001); roots zz; %{y= - 1.4142136,y=1.4142136,y= - 1.4142139,y=1.4142139,y=i} % 101) this example requires accuracy 15. zz:= (y-2)*(100000000000000y-200000000000001); roots zz; %{y=2.0,y=2.00000000000001} % 102) still higher precision needed. zz:= (y-2)*(10000000000000000000y-20000000000000000001); roots zz; %{y=2.0,y=2.0000000000000000001} % 103) increase in precision required for substituted polynomial. zz:= (x-2)*(10000000000x-20000000001); roots zz; %{y= - 1.41421356237,y=1.41421356237,y= - 1.41421356241,y=1.41421356241} % 104) still higher precision required for substituted polynomial. zz:= (x-2)*(100000000000000x-200000000000001); roots zz; %{y= - 1.414213562373095,y=1.414213562373095, % y= - 1.414213562373099,y=1.414213562373099} % 105) accuracy must be increased to separate root of complex factor % from root of real factor. zz:=(9y-10)*(y-2)*(9y-10-9i/100000000); roots zz; %{y=1.111111111,y=2.0,y=1.111111111 + 0.00000001*i} % 106) realroots does the same accuracy increase for real root based % upon the presence of a close complex root in the same polynomial. % The reason for this might not be obvious unless roots is called. realroots zz; %{y=1.111111111,y=2.0} % 107) realroots now uses powergcd logic whenever it is applicable. zz := (x-1)*(x-2)*(x-3); realroots zz; %{y= - 1,y=1,y= - 1.41421,y=1.41421,y= - 1.73205,y=1.73205} realroots(zz,exclude 1,2); %{y=1.41421,y=1.73205} % 108) root of degree 1 polynomial factor must be evaluated at % precision 18 and accuracy 10 in order to separate it from a root of % another real factor. clear x; zz:=(9x-10)**2*(9x-10-9/100000000)*(x-2); roots zz; %{x=1.111111111,x=1.111111111,x=1.111111121,x=2.0} nearestroot(zz,1); %{x=1.111111111} nearestroot(zz,1.5); %{x=1.111111121} nearestroot(zz,1.65); %{x=2.0} % 108a) new cability in mod 1.94. realroots zz; %{x=1.111111111,x=1.111111111,x=1.111111121,x=2.0} % 109) in this example, precision >=40 is used and two roots need to be % found to accuracy 16 and two to accuracy 14. zz := (9x-10)*(7x-8)*(9x-10-9/10**12)*(7x-8-7/10**14); roots zz; %{x=1.1111111111111,x=1.1111111111121, % x=1.142857142857143,x=1.142857142857153} % 110) very small real or imaginary parts of roots require high % precision or exact computations, or they will be lost or incorrectly % found. zz := 1000000*r**18 + 250000000000*r**4 - 1000000*r**2 + 1; roots zz; %{r=2.42978*i,r=-2.42978*i, % r=-1.05424 - 2.18916*i,r=1.05424 + 2.18916*i, % r=-1.05424 + 2.18916*i,r=1.05424 - 2.18916*i, % r=-0.00141421 - 1.6E-26*i,r=0.00141421 + 1.6E-26*i, % r=-0.00141421 + 1.6E-26*i,r=0.00141421 - 1.6E-26*i, % r=-1.89968 - 1.51494*i,r=1.89968 + 1.51494*i, % r=-1.89968 + 1.51494*i,r=1.89968 - 1.51494*i, % r=-2.36886 - 0.540677*i,r=2.36886 + 0.540677*i, % r=-2.36886 + 0.540677*i,r=2.36886 - 0.540677*i} comment These five examples are very difficult root finding problems for automatic root finding (not employing problem-specific procedures.) They require extremely high precision and high accuracy to separate almost multiple roots (multiplicity broken by a small high order perturbation.) The examples are roughly in ascending order of difficulty.; % 111) Two simple complex roots with extremely small real separation. c := 10^-6; zz:=(x-3c^2)^2+i*c*x^7; roots zz; %{x=-15.0732 + 4.89759*i,x=-9.31577 - 12.8221*i,x=-1.2E-12 + 15.8489*i, % x=2.99999999999999999999999999999997E-12 % + 3.3068111527572904325663335008527E-44*i, % x=3.00000000000000000000000000000003E-12 % - 3.30681115275729043256633350085321E-44*i, % x=9.31577 - 12.8221*i,x=15.0732 + 4.89759*i} % 112) Four simple complex roots in two close sets. c := 10^-4; zz:=(x^2-3c^2)^2+i*c^2*x^9; roots zz; %{x=-37.8622 + 12.3022*i,x=-23.4002 - 32.2075*i, % x=-0.00017320508075689 - 2.41778234660324E-18*i, % x=-0.000173205080756885 + 2.4177823466027E-18*i, % x=39.8107*i, % x=0.000173205080756885 + 2.4177823466027E-18*i, % x=0.00017320508075689 - 2.41778234660324E-18*i, % x=23.4002 - 32.2075*i,x=37.8622 + 12.3022*i} % 113) Same example, but with higher minimum root accuracy specified. rootacc 20; roots zz; %{x=-37.862241873586290526 + 12.302188128448775345*i, % x=-23.400152368145827118 - 32.207546656274351069*i, % x=-0.00017320508075689014714 - 2.417782346603239319E-18*i, % x=-0.00017320508075688531157 + 2.417782346602699319E-18*i, % x=39.810717055651151449*i, % x=0.00017320508075688531157 + 2.417782346602699319E-18*i, % x=0.00017320508075689014714 - 2.417782346603239319E-18*i, % x=23.400152368145827118 - 32.207546656274351069*i, % x=37.862241873586290526 + 12.302188128448775345*i} precision reset; % This resets precision and rootacc to nominal. % 114) Two extremely close real roots plus a complex pair with extremely % small imaginary part. c := 10^6; zz:=(c^2*x^2-3)^2+c^2*x^9; roots zz; %{x= - 251.189,x=-77.6216 + 238.895*i,x=-77.6216 - 238.895*i, % x= - 0.000001732050807568877293531, % x= - 0.000001732050807568877293524, % x=0.00000173205 + 3.41926E-27*i,x=0.00000173205 - 3.41926E-27*i, % x=203.216 + 147.645*i,x=203.216 - 147.645*i} % 114a) this example is a critical test for realroots as well. realroots zz; %{x= - 251.189,x= - 0.000001732050807568877293531, % x= - 0.000001732050807568877293524} % 115) Four simple complex roots in two extremely close sets. c := 10^6; zz:=(c^2*x^2-3)^2+i*c^2*x^9; roots zz; %{x=-238.895 + 77.6216*i,x=-147.645 - 203.216*i, % x=-0.00000173205080756887729353 - 2.417782346602969319022E-27*i, % x=-0.000001732050807568877293525 + 2.417782346602969318968E-27*i, % x=251.189*i, % x=0.000001732050807568877293525 + 2.417782346602969318968E-27*i, % x=0.00000173205080756887729353 - 2.417782346602969319022E-27*i, % x=147.645 - 203.216*i,x=238.895 + 77.6216*i} % 116) A new "hardest example" type. This polynomial has two sets of % extremely close real roots and two sets of extremely close conjugate % complex roots, both large and small, with the maximum accuracy and % precision required for the largest roots. Three restarts are % required, at progressively higher precision, to find all roots. % (to run this example, uncomment the following two lines.) %**% zz1:= (10^12x^2-sqrt 2)^2+x^7$ zz2:= (10^12x^2+sqrt 2)^2+x^7$ %**% zzzz := zz1*zz2$ roots zzzz; %{x= - 1.00000000000000000000000000009E+8, % x= - 9.99999999999999999999999999906E+7, % x= - 0.0000011892071150027210667183, % x= - 0.0000011892071150027210667167, % x=-5.4525386633262882960501E-28 + 0.000001189207115002721066718*i, % x=-5.4525386633262882960501E-28 - 0.000001189207115002721066718*i, % x=5.4525386633262882960201E-28 + 0.000001189207115002721066717*i, % x=5.4525386633262882960201E-28 - 0.000001189207115002721066717*i, % x=0.00000118921 + 7.71105E-28*i, % x=0.00000118921 - 7.71105E-28*i, % x=4.99999999999999999999999999953E+7 % + 8.66025403784438646763723170835E+7*i, % x=4.99999999999999999999999999953E+7 % - 8.66025403784438646763723170835E+7*i, % x=5.00000000000000000000000000047E+7 % + 8.66025403784438646763723170671E+7*i, % x=5.00000000000000000000000000047E+7 % - 8.66025403784438646763723170671E+7*i} % Realroots strategy on this example is different, but determining the % necessary precision and accuracy is tricky. %**% realroots zzzz; %{x= - 1.00000000000000000000000000009E+8, % x= - 9.9999999999999999999999999991E+7, % x= - 0.0000011892071150027210667183, % x= - 0.0000011892071150027210667167} showtime; end;
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function f1 = objfun(x) f1(1)=2*x(1)*x(1)+x(2)*x(2)-48*x(1)-40*x(2)+304 f1(2)=-x(1)*x(1)-3*x(2)*x(2) f1(3)=x(1)+3*x(2)-18 f1(4)=-x(1)-x(2)-1 f1(5)=x(1)+x(2)-8 f1(6)=100*(x(2)-x(1)^2)^2 + (1-x(1))^2; f1(7)=x(2)-x(1)*5+x(2)*x(2) f1(8)=x(2)-4*x(1)+3 f1(9)=x(2)^3-x(1)^2+4 endfunction goal=[5.0,-6.3,7.4,2.1,4,6,5.2,8,-1.4] weight=[8,2,3,4,4,5,3,7,6] x0=[-1,2] A=[1,2] b=[3] Aeq=[-1,4] beq=[5] lb=[-1,-1] ub=[10,10] function [p,q]=nonlinfun(x) p=[3*x(2)^2-2*x(1)]; q=[4*x(2)-7*x(1)]; endfunction [z,gval,attainfactor,exitflag,output,lambda]=fgoalattain(objfun,x0,goal,weight,A,b,Aeq,beq,lb,ub,nonlinfun)
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// Scilab Code Ex2.73:: Page-2.58(2009) clc; clear; N = 550; // Number of fringes crossing the field of view lambda = 5500e-008; // Wavelength of light used, cm mu = 1.5; // Refractive index of the glass slab // As 2*(mu-1)*t = N*lambda, solving for t t = N*lambda/(2*(mu-1)); // Thickness of the transparent glass film printf("\nThe distance between two successive positions of movable mirror = %3.1e cm", t); // Result // The distance between two successive positions of movable mirror = 3.0e-002 cm
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//EX12_3 Pg-12.17 clc clear fm=5e3;//assume modulation frequency f=5kHz fc=1080e3;//assume carrier frequency f=1080kHz time=0:2.3148e-7:8e-4; //Waveform of modulated signal for m=0.75 m1=0.75;//modulation index VmbyVc=m1 Vm=1;//we assume modulation voltage=1V Vc=Vm/m1;//carrier voltage k=VmbyVc;//modulation index = Vm/Vc printf("\n for modulation index m=0.75 Vc=%.2f V",Vc) xset('window',1) mt=k*sin(2*%pi*fm*time); sam=Vc*(1+mt).*sin(2*%pi*fc*time); plot(time(1:1500),sam(1:1500)); title(' Waveform of modulated signal m=0.75'); xlabel('Time (sec)'); ylabel('Amplitude (Vc=1.33V)'); xgrid(color("gray")); //Waveform of modulated signal for m=1 m1=1; VmbyVc=m1 Vm=1;//we assume modulation voltage=1V Vc=Vm/m1;//carrier voltage k=VmbyVc;//modulation index = Vm/Vc printf("\n for modulation index m=1 Vc=%.2f V",Vc) xset('window',2) mt=k*sin(2*%pi*fm*time); sam=Vc*(1+mt).*sin(2*%pi*fc*time); plot(time(1:1500),sam(1:1500)); title(' Waveform of modulated signal m=1'); xlabel('Time (sec)'); ylabel('Amplitude (Vc=1V)'); xgrid(color("gray")); //Waveform for modulated signal for m=1.25 m1=1.25; VmbyVc=m1 Vm=1;//we assume modulation voltage=1V Vc=Vm/m1;//carrier voltage k=VmbyVc;//modulation index = Vm/Vc printf("\n for modulation index m=1.25 Vc=%.2f V",Vc) xset('window',3) mt=k*sin(2*%pi*fm*time); sam=Vc*(1+mt).*sin(2*%pi*fc*time); plot(time(1:1500),sam(1:1500)); title(' Waveform of modulated signal m=1.25'); xlabel('Time (sec)'); ylabel('Amplitude (Vc=0.8V)'); xgrid(color("gray"));
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//Chapter 06: Counting clc; clear; function result=combination(n,r) //function definition i=n num=1 denominator=1 l=(n-r)+1 u=n for i=l:u //to compute the value of the numerator num=num*i end for j=1:r //to compute the value of the denominator denominator=denominator*j end result=num/denominator return result endfunction num=input("Enter the total number of members in a team:") com=input("Enter the number of players:") res=combination(num,com) mprintf("The number of combinations are %d ",res)
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// Copyright (C) 2015 - IIT Bombay - FOSSEE // // This file must be used under the terms of the CeCILL. // This source file is licensed as described in the file COPYING, which // you should have received as part of this distribution. The terms // are also available at // http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt // Author: Shashank Shekhar & Siddhant Narang // Organization: FOSSEE, IIT Bombay // Email: toolbox@scilab.in function [varargout] = detectSURFFeatures(image, varargin) // This function is used to detect SURF(Speeded Up Robust Features) Features in a grayscale Image. // // Calling Sequence // result = detectSURFFeatures(Image); // result = detectSURFFeatures(Image, Name, Value, ...) // // Parameters // result: SURFPoints struct which contains Location of KeyPoints, Orientation, Metric, SignOfLaplacian, Scale and Count of the features. // Image : Input image, specified as a A-by-N 2D grayscale. // MetricThreshold : (Optional) With default value equal to 1000, it is to be specified as a scalar. Every interest point detected has a strength associated with it. In case, only the stronget ones are needed, this parameter has to be given a larger value. To get more no of interest points/blobs, it is to be reduced. // NumOctaves : (Optional)With default value equal to 3, it is to be specified as a scalar. Larger the number of octaves, larger is the size of blobs detected. This is because higher octave use large sized filters. Value must be an integer scalar in between 1 and 4. // NumScaleLevels : (Optional)With default value equal to 4, it is to be specified as a scalar. It denotes the number of scale level for each octave. The Value must be an integer scalar greater than or equal to 3. // ROI : (Optional) Region Of Interest. This is taken as a vector [u v width height]. When specified, the function detects the key points within region of area width*height with u and v being the top left corner coordinates. // // Description // This function return the SURF(Speeded Up Robust Features) Interest Points for a 2D Grayscale image. It is scale- and rotation- invariant point detector and descriptor and its application include Camera Calibration, 3D Reconstruction, Object Recognition to name a few. // // Examples //stacksize("max"); // img_1 = imread("images/table.jpg", 0); // img_2 = imread("images/table1.jpg", 0); // lis1 = detectSURFFeatures(img_1); // lis2 = detectSURFFeatures(img_2); // dimage = drawKeypoints(img_2, lis2.KeyPoints); // features_1 = extractFeatures(img_1, lis1.KeyPoints, "SURFPoints", "Metric", lis1.Metric, "Orientation", lis1.Orientation, "Scale", lis1.Scale, "SignOfLaplacian", lis1.SignOfLaplacian); // features_2 = extractFeatures(img_2, lis2.KeyPoints, "SURFPoints", "Metric", lis2.Metric, "Orientation", lis2.Orientation, "Scale", lis2.Scale, "SignOfLaplacian", lis2.SignOfLaplacian); // [matches, distance] = matchFeatures(features_1.Features, features_2.Features, "Method", "Approximate"); // matchedImage = drawMatch(img_1, img_2, lis1.KeyPoints, lis2.KeyPoints, matches, distance); // // See also // imread // drawMatch // drawKeypoints // matchFeatures // extractFeatures // // Authors // Shashank Shekhar // Siddhant Narang image_list = mattolist(image); [ lhs, rhs ] = argn(0) if rhs > 9 then error(msprintf("Too many input arguments")) end if lhs > 1 then error(msprintf("Not enough input arguments")) end select rhs case 1 then [a b c d e f] = ocv_detectSURFFeatures(image_list) case 3 then [a b c d e f] = ocv_detectSURFFeatures(image_list, varargin(1), varargin(2)) case 5 then [a b c d e f] = ocv_detectSURFFeatures(image_list, varargin(1), varargin(2), varargin(3), varargin(4)) case 7 then [a b c d e f] = ocv_detectSURFFeatures(image_list, varargin(1), varargin(2), varargin(3), varargin(4), varargin(5), varargin(6)) case 9 then [a b c d e f] = ocv_detectSURFFeatures(image_list, varargin(1), varargin(2), varargin(3), varargin(4), varargin(5), varargin(6), varargin(7), varargin(8)) end varargout(1) = struct('KeyPoints', a, 'Orientation', b, 'Metric', c ,'SignOfLaplacian', d,'Scale', e, 'Count', f ); endfunction
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clc w_O2=3*32/46*100/23; //For complete combustion of 1 kg of C2H6O, oxygen required ratio=w_O2; disp("A:F ratio=") disp(ratio) w1=88; //kg w2=54; //kg w=w1+w2; //kg W=46; //kg w_CO2=w1/W*100; disp("CO2 produced by fuel") disp(w_CO2) disp("%") w_H2O=w2/W*100; disp("H2O produced by fuel") disp(w_H2O) disp("%")
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//Example 1.19.// calculate the temperature indicated clc; clear; close; //given data : Iin=160; // in celcius t1=10; // in seconds t2=5;// in seconds I=30; // in celcius Io=Iin+(I-Iin)*exp(-t1/t2); disp(Io,"thermometer reading,Io(celcius) = ")
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// Example A-7-3 // Bode plot for system in state space clear; clc; xdel(winsid()); //close all windows // please edit the path // cd "/<your code directory>/"; // exec("transferf.sci"); A = [0 1; -25 -4]; B = [1 1; 0 1]; C = [1 0; 0 1]; D = zeros(2,2); G = transferf(A,B,C,D);disp(G,"transfer function = "); subplot(2,2,1); bode(G(1,1)); subplot(2,2,2); bode(G(1,2)); subplot(2,2,3); bode(G(2,1)); subplot(2,2,4); bode(G(2,2));
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// Classifica a doença de acordo com as caracteristicas colhidas no exame de // sangue // Parâmetros de entrada: // entradas: Entradas do conjunto de treinamento // pesos: Pesos iniciais da rede // Parâmetros de saída: // classes: Classificação das amostras passadas como entrada function classes = perceptron_operation(pesos, entradas) // Número de amostras [input_size,num_amostras] = size(entradas); // Inicializa o vetor de classes (tipos classificados) classes = zeros(num_amostras, 1); for k = 1 : num_amostras u = pesos'*entradas(:,k); y = sign(u); if (y == -1) classes(k) = -1; else classes(k) = 1; end end disp(classes); endfunction
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clear; clc; ct=2000/5; i=40e3; r1=.31; a=28.45e-4; r2=2; is=i/ct; e=is*(r1+r2); f=50; B=e/(4.4*f*ct*a); C=B/sqrt(2); C=round(C*10)/10; mprintf("saturation magnetic field max=%fWb\t rms value=%fWb",B,C);
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#headers default_background_color = 255, 255, 255; default_text_color = 0, 0, 0; default_font = "cambria"; default_font_size = 28; active_buttons = 4; response_matching = simple_matching; default_trial_type = first_response; default_picture_duration = response; #SDL begin; # The next section will be the coding of all stimuli in picture objects. This includes the welcome and instruction pages # This makes the scenario clearer. Each subsection will have a comment header to indicate what part is being coded # Welcome Page text{caption = "Welcome to this experiment, and thank you for your participation! Press the W-button to go to the instruction screen";} welc_text; picture{text welc_text; x = 0; y = 0;} welc_pic; #Instruction pages text{caption = "In this task, you need to match a card to one of four cards presented at the top of the screen. Press one of the four buttons corresponding to the letter next to the cards to select to which card you want to match the card at the bottom to. Following your selection, you will get feedback. If your match was not correct, you need to try a different rule Press the W-button to go to the next screen";} inst1_text; text{ caption = "The three possible rules of matching are that the cards have the same backgroundcolor, the cards have the same number of objects on the card, or the object on the cards is the same. Look at the example below: If you match according to backgroundcolor, you would choose card 3 corresponding to the letter U If you match according to object, you would choose card 4 corresponding to the letter P If you match according to number of objects, you would choose card 1 corresponding to the letter W Press the W-button to go to the next screen";} inst2_text; text{ caption = " You will need to find out whether to match according to color, object, or number of object. Once you have figure out what rule to use, you can relax for a while. But that is not all. The matching rules changes now and then! You therefore need to carefully monitor the feedback. Mistakes are inevitable, but try to make as few mistakes as possible. That is all! Good luck! Press the W-button to start the experiment ";} inst3_text; picture{ text inst1_text; x = 0; y = 0;} inst1_pic; picture{ text inst3_text; x = 0; y = 0;} inst3_pic; #instruction page example of experiment bitmap{ filename = "options.bmp";} qoptions; bitmap{ filename = "b1g.bmp"; } qb1g; picture{ text inst2_text ; x = 0; y = 350; bitmap qoptions; x = 0; y = 0; bitmap qb1g; x = 0; y = -300; } inst2_pic; # Coding of all stimuli bitmap{ filename = "b1y.bmp";} bb1g; bitmap{ filename = "b1g.bmp";} bb1gr; bitmap{ filename = "b2y.bmp";} bb2g; bitmap{ filename = "b2r.bmp";} bb2r; bitmap{ filename = "b3g.bmp";} bb3gr; bitmap{ filename = "b3r.bmp";} bb3r; bitmap{ filename = "j1b.bmp";} bj1b; bitmap{ filename = "j1y.bmp";} bj1g; bitmap{ filename = "j3r.bmp";} bj3r; bitmap{ filename = "j3b.bmp";} bj3b; bitmap{ filename = "j4y.bmp";} bj4g; bitmap{ filename = "j4r.bmp";} bj4r; bitmap{ filename = "s1b.bmp";} bs1b; bitmap{ filename = "s1g.bmp";} bs1gr; bitmap{ filename = "s2b.bmp";} bs2b; bitmap{ filename = "s2r.bmp";} bs2r; bitmap{ filename = "s4g.bmp";} bs4gr; bitmap{ filename = "s4r.bmp";} bs4r; bitmap{ filename = "sch2b.bmp";} bsch2b; bitmap{ filename = "sch2y.bmp";} bsch2g; bitmap{ filename = "sch3b.bmp";} bsch3b; bitmap{ filename = "sch3g.bmp";} bsch3gr; bitmap{ filename = "sch4y.bmp";} bsch4g; bitmap{ filename = "sch4g.bmp";} bsch4gr; bitmap{ filename = "options.bmp";} boptions; # Every picture consists of the 4 options the participants can select and the stimulus they have to sort. picture{ bitmap boptions; x = 0; y = 300; bitmap bb1g; x = 0; y = -300;} b1g; picture{ bitmap boptions; x = 0; y = 300; bitmap bb1gr; x = 0; y = -300;} b1gr; picture{ bitmap boptions; x = 0; y = 300; bitmap bb2g; x = 0; y = -300;} b2g; picture{ bitmap boptions; x = 0; y = 300; bitmap bb2r; x = 0; y = -300;} b2r; picture{ bitmap boptions; x = 0; y = 300; bitmap bb3gr; x = 0; y = -300;} b3gr; picture{ bitmap boptions; x = 0; y = 300; bitmap bb3r; x = 0; y = -300;} b3r; picture{ bitmap boptions; x = 0; y = 300; bitmap bj1b; x = 0; y = -300;} j1b; picture{ bitmap boptions; x = 0; y = 300; bitmap bj1g; x = 0; y = -300;} j1g; picture{ bitmap boptions; x = 0; y = 300; bitmap bj3r; x = 0; y = -300;} j3r; picture{ bitmap boptions; x = 0; y = 300; bitmap bj3b; x = 0; y = -300;} j3b; picture{ bitmap boptions; x = 0; y = 300; bitmap bj4g; x = 0; y = -300;} j4g; picture{ bitmap boptions; x = 0; y = 300; bitmap bj4r; x = 0; y = -300;} j4r; picture{ bitmap boptions; x = 0; y = 300; bitmap bs1b; x = 0; y = -300;} s1b; picture{ bitmap boptions; x = 0; y = 300; bitmap bs1gr; x = 0; y = -300;} s1gr; picture{ bitmap boptions; x = 0; y = 300; bitmap bs2b; x = 0; y = -300;} s2b; picture{ bitmap boptions; x = 0; y = 300; bitmap bs2r; x = 0; y = -300;} s2r; picture{ bitmap boptions; x = 0; y = 300; bitmap bs4gr; x = 0; y = -300;} s4gr; picture{ bitmap boptions; x = 0; y = 300; bitmap bs4r; x = 0; y = -300;} s4r; picture{ bitmap boptions; x = 0; y = 300; bitmap bsch2b; x = 0; y = -300;} sch2b; picture{ bitmap boptions; x = 0; y = 300; bitmap bsch2g; x = 0; y = -300;} sch2g; picture{ bitmap boptions; x = 0; y = 300; bitmap bsch3b; x = 0; y = -300;} sch3b; picture{ bitmap boptions; x = 0; y = 300; bitmap bsch3gr; x = 0; y = -300;} sch3gr; picture{ bitmap boptions; x = 0; y = 300; bitmap bsch4g; x = 0; y = -300;} sch4g; picture{ bitmap boptions; x = 0; y = 300; bitmap bsch4gr; x = 0; y = -300;} sch4gr; # Now that all stimuli have been put in a picture element next the feedback will be coded # I decided to go with only auditory feedback. The feedback that a participant hears after giving a wrong answer is a buzzer # When a correct answer is given the line 'You got it' will be played. #Wrong Answer Feedback sound{ wavefile { filename = "wrong_sound.wav" ;}; } wrong; #Right Answer Feedback sound{ wavefile {filename = "correct_sound.wav"; }; } correct; # Now that all stimuli are ready to be used the beginning of the experiment will be coded in the following section. # All trials will be named, so that we can control the flow of the experiment using pcl. #Welcome page & Instruction Page trials #Delta_time is set to 0 because the screen only has to change when the participant presses a button trial{ trial_type = fixed; trial_duration = stimuli_length; stimulus_event{ picture welc_pic; time = 0; } welcome_page; stimulus_event{ picture inst1_pic; delta_time = 0; } instruction_page1; stimulus_event{ picture inst2_pic; delta_time = 0; } instruction_page2; stimulus_event{ picture inst3_pic; delta_time = 0; } instruction_page3; }start_screen; #Correct and wrong sound trial. This needs to be made so we can call this trial everytime a correct or wrong answer is given # and the auditory feedback can be given. trial{ sound correct; duration = 300; time = 0; } correct_t; trial{ sound wrong; duration = 300; time = 0; } wrong_t; # In the following section three arrays are made. Each array contains 24 trials (one for each stimulus) for each rule. # The trials are put in an array so that we can randomize the order the trials are presented in. # Trials where the rule is match on background color array{ #Ball pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b1g; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b1gr; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b2g; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b2r; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b3gr; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b3r; target_button = 1; }; #Joint pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j1b; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j1g; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j3b; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j3r; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j4g; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j4r; target_button = 1; }; # Screw pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s1b; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s1gr; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s2b; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s2r; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s4gr; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s4r; target_button = 1; }; #Shoe pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch2b; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch2g; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch3b; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch3gr; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch4g; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch4gr; target_button = 4; }; }color; # Rule is shape array{ #Ball pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b1g; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b1gr; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b2g; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b2r; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b3gr; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b3r; target_button = 4; }; #Joint pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j1b; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j1g; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j3b; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j3r; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j4g; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j4r; target_button = 2; }; # Screw pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s1b; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s1gr; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s2b; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s2r; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s4gr; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s4r; target_button = 3; }; #Shoe pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch2b; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch2g; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch3b; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch3gr; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch4g; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch4gr; target_button = 1; }; }shape; #Rule is number of objects array{ trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b1g; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b1gr; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b2g; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b2r; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b3gr; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture b3r; target_button = 3; }; #Joint pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j1b; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j1g; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j3b; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j3r; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j4g; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture j4r; target_button = 4; }; # Screw pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s1b; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s1gr; target_button = 1; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s2b; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s2r; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s4gr; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture s4r; target_button = 4; }; #Shoe pictures trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch2b; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch2g; target_button = 2; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch3b; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch3gr; target_button = 3; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch4g; target_button = 4; }; trial { correct_feedback = correct_t; incorrect_feedback = wrong_t; picture sch4gr; target_button = 4; }; }number; #Begin PCL to control flow of experiment begin_pcl; # These two objects are created in order to get a more informative output file int lastresponse; stimulus_data last; double percentagemistakes; #This creates a custom output file output_file wcst = new output_file; wcst.open (logfile.subject() + "wcst_data.txt"); wcst.print("trialnr\tresponse\ttotalcorrect\treactiontime\tpercentagemistakes\n"); #To begin the instruction screens need to be presented start_screen.present(); # Using a loop we will present 4 stimuli for a rule until moving on to the next rule # I use until i > 24 because there are a total of 24 stimuli in each rule array. Going further than that would # result in an error. # This loop is repeated three times using the loop that contains all code underneath in order to present a total of 72 trials loop int j = 1 until j > 3 begin #Next for each rule trials have been made for all stimuli. To minimize noise the trials within each rule are #randomized using the .shuffle function before going through the next loop color.shuffle(); shape.shuffle(); number.shuffle(); loop int i=1 until i > 24 begin if i < 5 then color[i].present(); elseif i >4 && i < 9 then shape[i].present(); elseif i > 8 && i < 13 then number[i].present(); elseif i > 12 && i < 17 then shape[i].present(); elseif i > 16 && i < 21 then color[i].present(); elseif i > 20 then number[i].present(); end; # The following lines of code are used to put results in the custom output file last = stimulus_manager.last_stimulus_data(); lastresponse = last.button(); percentagemistakes = (response_manager.total_hits()/72.0)*100.0; wcst.print(i); wcst.print("\t"); wcst.print(lastresponse); wcst.print("\t"); wcst.print(response_manager.total_hits());wcst.print("\t"); wcst.print(last.reaction_time());wcst.print("\t");; wcst.print(percentagemistakes);wcst.print("\n"); i = i + 1 end; j = j + 1; end;
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//Chapter 21, Problem 18 clc; vi=200e3; //rated transformer pf=0.85; //power factor lcu=(1/2)^2*1.5e3; //copper loss lfe=1e3; //iron loss p0=(1/2)*vi*pf; //full-load output power lt=lcu+lfe; //total losses pi=p0+lt; //input power Ef=(1-(lt/pi)); //efficiency printf("Transformer efficiency at half load = %.3f percent",Ef*100);
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//chapter 24 Ex 18 clc; clear; close; altitude=8; perimeter=32; //from given the equation formed is x^2=(8^2)+(16-x)^2 side=320/32; base=perimeter-2*side; area=(1/2)*base*side; mprintf("The area of the triangle is %.0f square cm",area);
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clc; Vout=12; //Volt Vin=0.06; //Volt Av=Vout/Vin; disp('',Av,"Av=");//The answers vary due to round off error
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close; N =100; b = rand(1,N,'n'); // criando vetor de número aleatórios b = sign(b); // transforma em -1 e 1 b = 0.5 * (b +1); // transformar em 0 e 1 disp(b) r = xcorr(b) disp(r)
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clear clc disp('Exa-9.2(a)'); K=1.44; Req=0.236; // K=e^2/(4*pi*e0)=1.44 eV.nm Uc=-K/(Req); //coulomb energy printf('The coulomb energy at an equilirium separation distance is %.2f eV\n',Uc); E=-4.26; delE=1.53; //various standars values of NaCl Ur=E-Uc-delE; printf('The pauli''s repulsion energy is %.2f eV\n',Ur); disp('Exa-9.2(b)'); Req=0.1; //pauli repulsion energy Uc=-K/(Req); E=4; delE=1.53; Ur=E-Uc-delE; printf('The pauli''s repulsion energy respectively is is %.2f eV\n',Ur);
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clc //Example 6.9 //Calculate the drop in pressure per unit length in a pipe dp=0.1//psi dx=800//ft //let D represent d/dx //1 psi = 6895 Pa //1 m = 3.28 ft Dp=(dp/dx)*6895*3.28//Pa/m printf("The drop in pressure per unit length in the pipe is %f Pa/m",Dp);
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//Example 3.20:Resistance clc; clear; close; //given data : R2=600;// in ohm R3=400;// in ohm R4=1000;// in ohm R1=(R2*R3/R4); disp(R1,"Unknown resistance,R1(ohm) = ")
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//função são f(x)=x*x+y*y-2 e g(x)=x*x-y*y-1 x1=6; x0=2.0; y1=6; y0=0.2; f=0; fx=0; g=0; gy=0; gx=0; fy=0; eps=0.001; cont=0; cont2=0; r1=0.7070; y2=0; erroant=0; erroprox=0; erro=0; p=0; while (sqrt(((x0-x1)/x0)^2)>eps) & (sqrt(((y0-y1)/y0)^2)>eps) if cont2>2 y2=y1; erroant=sqrt((y2-r1)^2) cont2=0; end x1=x0; y1=y0; f=x0^2+y0^2-2; g=x0^2-y0^2-1; fx=2*x0; gx=2*x0; fy=2*y0; gy=-2*y0; x0=x0-((f*gy-g*fy)/(fx*gy-fy*gx)); y0=y0-((g*fx-f*gx)/(fx*gy-fy*gx)); cont=cont+1; erro=sqrt((y1-r1)^2) erroprox=sqrt((y0-r1)^2) cont2=cont2+1; end p=(log(sqrt((erroprox/erro)^2))/log(sqrt((erro/erroant)^2))); disp(x0,y0,"valor x e valor y"); disp(cont,"iteration:"); disp(p,"covergencia");
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clear ; clc; // Example 11.9 printf('Example 11.9\n\n'); printf('Page No. 324\n\n'); //given T1 = 273;// Measured temperature In degree celcius P = 1;// Measured pressure in bar T2 = 290;// initial temperature In degree celcius T3 = 1000;// Final temperature In degree celcius T4 = 1150;// Entering tempearture In degree celcius v1 = 7;// in m^3/s v2 = 8;// in m^s M = 22.7;// in kmol/m^3 d = 0.1;// Diameter in m A = 0.01;// Surface area per regenerator channel in m^2 u = 1;// maximum velocity in m/s Cp_1 = 34*10^3;// Heat capacity at T4 temperature in J/kmol-K Cp_2 = 32*10^3;// Heat capacity at outlet temperature in J/kmol-K Cp_m = 30*10^3;// Heat capacity at mean temperature in J/kmol-K m_c = v1/M;// Molal air flow rate in kmol/s H_c1 = Cp_m*(T3 - T1);// Enthalpy of air at 1000K in J/mol H_c2 = Cp_m*(T2 - T1);// Enthalpy of air at 290 in J/mol Q = (m_c*(H_c1 - H_c2))/10^6;// in 10^6 W printf('The heat transfer, Q is %.1f *10^6 W \n',Q) m_F = v2/M;// Molal flow rate of flue gas in kmol/s dH = (Q/m_F)*10^6;// enthaply chnage of the flue gas in J/kmol H_F1 = Cp_1*(T4 - T1);// Enthalpy of the flue gas at 1150 K in J/kmol H_F2 =H_F1 - dH;// Enthalpy at the exit temperature in J/kmol T_F2 = (H_F2/Cp_2) + T1;// in K printf('The exit tempearture of the flue gas is %.0f K \n',T_F2) S_R = v2/u;//cross sectional area of the regenerator in m^2 N = S_R/A; printf('The number of channels required is %.0f \n',N) printf('Consequently for this regenerator a square layout could be achieved with 40 channels arranged horizontally and 20 channels vertically.')
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function [I] = simpson13 (F, a, b, ns) if modulo(ns, 2) == 0 then h = (b-a)/ns; else ns = ns+1; h = (b-a)/ns; end x = a; soma = F(a)+F(b); for i =1:ns-1 x = x+h; if modulo(i, 2) == 0 then soma = soma+4*F(x); else soma = soma+2*F(x); end end I = (h/3)*soma; endfunction Z = [0, 4, 8, 12, 16]; A = [9.8175, 5.1051, 1.9635, 0.3927, 0.000]; c = [10.2, 8.5, 7.4, 5.2, 4.1]; ns = 5; ce = simpson13(c, 1, 5, ns); disp(ce);
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// 08.08.17 // 10.08.15 near line 25 or so // 13.10.21 ( __ added to varibles ) function Out2__=Phcutoffdata(varargin) global PHCUTPOINTL PHVERTEXL PHFACEL; Eps__=10^(-4); Out2__=[]; VL__=varargin(1); FaceL__=varargin(2); PlaneD__=varargin(3); Sgnstr__=varargin(4); Fugou__=1; if Sgnstr__=='-' | Sgnstr__=='n' Fugou__=-1; end; Out0__=Phcutdata(VL__,FaceL__,PlaneD__); PtL__=PHCUTPOINTL; PHVERTEXL=VL__; PHFACEL=FaceL__; if PtL__==[] Out2__=Out0__; return; end; N1__=Mixlength(VL__); Face__=[]; for I__=1:Mixlength(PtL__); Tmp__=Mixop(I__,PtL__); Tmp3__=Mixop(1,Tmp__); // 2010.08.15 Tmp1__=Tmp3__(1); Tmp2__=Tmp3__(2); // 2010.08.15 if Tmp1__~=Tmp2__ VL__=Mixadd(VL__,Mixop(2,Tmp__)); N1__=N1__+1; Tmp1__=N1__; end; Face__=[Face__,Tmp1__]; PtL__(I__)=list(Mixop(1,Tmp__),Tmp1__); // 2010.08.15 // Tmp2__=Mixsub(1:I__-1,PtL__); // Tmp2__=Mixadd(Tmp2__,Mix(Mixop(1,Tmp__),Tmp1__)); // Tmp3__=Mixsub(I__+1:Mixlength(PtL__),PtL__); // PtL__=Mixjoin(Tmp2__,Tmp3__); end; OutfL__=MixS(Face__); if Mixtype(PlaneD__)~=1 V1__=Mixop(1,PlaneD__); Tmp__=Mixop(2,PlaneD__); if length(Tmp__)>1 d__=V1__(1)*Tmp__(1)+V1__(2)*Tmp__(2)+V1__(3)*Tmp__(3); else d__=Tmp__; end; elseif type(PlaneD__)==1 V1__=PlaneD__(1:3); d__=PlaneD__(4); else K__=mtlb_findstr(PlaneD__,'='); if K__>0 Tmp1__=part(PlaneD__,1:K__-1); Tmp2__=part(PlaneD__,K__+1:length(PlaneD__)); PlaneD__=Tmp1__+'-('+Tmp2__+')'; end; x=0; y=0; z=0; d__=-evstr(PlaneD__); x=1; y=0; z=0; Tmp1__=evstr(PlaneD__)+d__; x=0; y=1; z=0; Tmp2__=evstr(PlaneD__)+d__; x=0; y=0; z=1; Tmp3__=evstr(PlaneD__)+d__; V1__=[Tmp1__,Tmp2__,Tmp3__]; end; for I__=1:Mixlength(FaceL__) Face__=Mixop(I__,FaceL__); TmpL__=[]; for J__=1:length(Face__) N1__=Face__(J__); if J__==length(Face__) N2__=Face__(1); else N2__=Face__(J__+1); end; for K__=1:Mixlength(PtL__) Pd__=Mixop(K__,PtL__); Tmp__=Mixop(1,Pd__); if Tmp__(1)==Tmp__(2) if Tmp__(1)==N1__ TmpL__=Mixadd(TmpL__,Mix(J__,[N1__,N2__],Mixop(2,Pd__))); end else if Tmp__==[N1__,N2__] | Tmp__==[N2__,N1__] TmpL__=Mixadd(TmpL__,Mix(J__,[N1__,N2__],Mixop(2,Pd__))); end; end; end; end; if Mixlength(TmpL__)<2 Flg__=0; for J__=1:length(Face__) Tmp__=Mixop(Face__(J__),VL__); Tmp1__=Fugou__*(Naiseki(V1__,Tmp__)-d__); if Tmp1__<-Eps__ Flg__=1; break; end; end; if Flg__==0 OutfL__=Mixadd(OutfL__,Face__); end; continue; end; Pd__=Mixop(1,TmpL__); Qd__=Mixop(2,TmpL__); Outf1__=[Mixop(3,Pd__)]; Nf__=Mixop(1,Pd__)+1; Tmp__=Mixop(2,Pd__); JJ__=0; while Tmp__~=Mixop(2,Qd__) JJ__=JJ__+1; if JJ__>20 disp('bug'); return; end; Tmp1__=Tmp__(2); if Outf1__(length(Outf1__))~=Tmp1__ Outf1__=[Outf1__,Tmp1__]; end; Tmp__=[Face__(Nf__)]; Nf__=Nf__+1; if Nf__>length(Face__) Nf__=1; end; Tmp__=[Tmp__,Face__(Nf__)]; end; Tmp1__=Mixop(3,Qd__); if Outf1__(length(Outf1__))~=Tmp1__ Outf1__=[Outf1__,Tmp1__]; end; Outf2__=[Mixop(3,Pd__)]; Nf__=Mixop(1,Pd__); Tmp__=Mixop(2,Pd__); JJ__=0; while Tmp__~=Mixop(2,Qd__) JJ__=JJ__+1; if JJ__>20 disp('bug'); return; end; Tmp1__=Tmp__(1); if Outf2__(length(Outf2__))~=Tmp1__ Outf2__=[Outf2__,Tmp1__] end; Tmp__=[Face__(Nf__)]; Nf__=Nf__-1; if Nf__<1 Nf__=length(Face__); end; Tmp__=[Face__(Nf__),Tmp__]; end; Tmp1__=Mixop(3,Qd__); if Outf2__(length(Outf2__))~=Tmp1__ Outf2__=[Outf2__,Tmp1__] end; if length(Outf1__)<3 | length(Outf2__)<3 Face__=Outf1__; if length(Outf1__)<length(Outf2__) Face__=Outf2__; end; Flg__=0; for J__=1:length(Face__) Tmp__=Mixop(Face__(J__),VL__); Tmp1__=Fugou__*(Naiseki(V1__,Tmp__)-d__); if Tmp1__<-Eps__ Flg__=1; break; end; end; if Flg__==0 OutfL__=Mixadd(OutfL__,Face__); end; else Tmp__=Mixop(Outf1__(2),VL__); Tmp1__=Outf1__; Tmp2__=Fugou__*(Naiseki(V1__,Tmp__)-d__); if Tmp2__<0 Tmp1__=Outf2__; end; OutfL__=Mixadd(OutfL__,Tmp1__); end; end; PHVERTEXL=VL__; PHFACEL=OutfL__; Out2__=Phcutdata(VL__,OutfL__,[0,0,0,0]); endfunction
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clc; Pi=5; Po=100; G=10*log10(Po/Pi); disp('dB',G*1,"G=");
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//Example 8.6 m1=0.350;//Mass of cart 1 and spring (kg) m2=0.500;//Mass of cart 2 (kg) v1=2.00;//Initial velocity of cart 1 (m/s) v2=-0.500;//Initial velocity of cart 2 (m/s) v1_final=-4.00;//Final velocity of cart 1 (m/s) v2_final=(m1*v1+m2*v2-m1*v1_final)/m2;//Final velocity of cart 2 (m/s) printf('a.Final velocity of cart 2 = %0.2f m/s',v2_final) KE_int1=(1/2*m1*v1^2)+(1/2*m2*v2^2);//Internal kinetic energy before collision (J) KE_int2=(1/2*m1*v1_final^2)+(1/2*m2*v2_final^2);//Internal kinetic energy after collision (J) delta_KE=KE_int2-KE_int1;//Change in internal kinetic energy (J) printf('\nb.Energy released by the spring = %0.2f J',delta_KE) //Openstax - College Physics //Download for free at http://cnx.org/content/col11406/latest
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function [stk,nwrk,txt,top]=f_svd(nwrk) //!purpose // Scilab svd function translation //!parameters // - stk : // On entry stk is a global variable of type list // entries indexed from top-1+rhs:top give the definition of the rhs // function input variables // // After execution stk(1:lhs) must contain the definition of the // lhs returned variables // // stk entries have the following structure: // stk(k)=list(definition,type_expr,type_var,nb_lig,nb_col) // // *definition may be: // - a character string containing a Fortran expression with // a scalar value ex:'a+2*b-3*c(1); // - a character string containing a reference to the first // entry of a Fortran array // 'a' if a is a defined matrix // 'work(iwn)' if variable is stored in the double // precision working array work // 'iwork(iiwn)' if variable is stored in the integer // working array iwork // remark: complex array are defined by a definition part // with 2 elements (real and imaginary parts definition) // *type_expr a character string: the expression type code (used // to indicate need of parenthesis ) // '2' : the expression is a sum of terms // '1' : the expression is a product of factors // '0' : the expression is an atome // '-1': the value is stored in a Fortran array // *type_var a character string: codes the variable fortran type: // '1' : double precision // '0' : integer // '10': character // // *nb_lig (, nb_col) : character strings:number of rows // (columns) of the matrix // des chaines de caracteres // // nwrk : this variable contain information on working arrays, error // indicators. It only may be modified by call to scilab functions // outname adderr getwrk // // txt : is a column vector of character string which contain the // fortran code associated to the function translation if // necessary. // top : an integer // global variable on entry // after execution top must be equal to top-rhs+lhs //! txt=[] nam='svd' s2=stk(top-rhs+1) v=s2(1) it2=prod(size(v))-1 if it2<>0 then error(nam+' complex --> not implemented'),end [s2,nwrk,t0]=typconv(s2,nwrk,'1') n=s2(4);m=s2(5) if n==m then n1=n n2=n else n1='min('+addf(n,'1')+','+m+')' n2='min('+n+','+m+')' end if lhs==1 then [errn,nwrk]=adderr(nwrk,'SVD computation fails') [out,nwrk,t1]=outname(nwrk,'1','1',n1) [e,nwrk,t2]=getwrk(nwrk,'1','1',m) [wrk,nwrk,t3]=getwrk(nwrk,'1','1',n) txt=[t0;t1;t2;t3; gencall(['dsvdc',s2(1),n,n,m,out,e,'work',n,'work',m,wrk,'00','ierr']); genif('ierr.ne.0',[' ierr='+string(errn);' return'])] stk=list(out,'-1','1','1',n1) [nwrk]=freewrk(nwrk,wrk) [nwrk]=freewrk(nwrk,e) elseif lhs==3 then [errn,nwrk]=adderr(nwrk,'SVD computation fails') [o,nwrk,t1]=outname(nwrk,['1','1','1'],[n,n,m],[n,m,m]) [d,nwrk,t2]=getwrk(nwrk,'1','1',n1) [e,nwrk,t3]=getwrk(nwrk,'1','1',m) txt=[t0;t1;t2;t3; gencall(['dsvdc',s2(1),n,n,m,d,e,o(3),n,o(1),m,o(2),'11','ierr']); genif('ierr.ne.0',[' ierr='+string(errn);' return']); gencall(['dset',mulf(m,n),'0.0d0',o(2),'1']); gencall(['dcopy',n1,d,'1',o(2),addf(n,'1')])]; [nwrk]=freewrk(nwrk,d) [nwrk]=freewrk(nwrk,e) stk=list(list(o(1),'-1','1',m,m),list(o(2),'-1','1',n,m),.. list(o(3),'-1','1',n,n)) else [errn,nwrk]=adderr(nwrk,'SVD fails') [o,nwrk,t1]=outname(nwrk,['0','1','1','1'],['1',n,n,m],['1',n,m,m]) [d,nwrk,t2]=getwrk(nwrk,'1','1',n1) [e,nwrk,t3]=getwrk(nwrk,'1','1',m) txt=[t0;t1;t2;t3; gencall(['dsvdc',s2(1),n,n,m,d,e,o(4),n,o(2),m,o(3),'11','ierr']); genif('ierr.ne.0',[' ierr='+string(errn);' return']); gencall(['dset',mulf(m,n),'0.0d0',o(3),'1']); gencall(['dcopy',n1,d,'1',o(3),addf(n,'1')])]; tol=e if rhs==1 then nwrk=dclfun(nwrk,'d1mach','1') t0=' '+tol+'='+mulf(mulf(mulf('d1mach(4)',m),n),d) else tol1=stk(top) t0=' '+tol+'='+mulf(mulf(mulf(tol1(1),m),n),d) end [lbl,nwrk]=newlab(nwrk) tl1=string(10*lbl); var='ilb'+tl1; [lbl,nwrk]=newlab(nwrk) tl2=string(10*lbl); t1=[' '+o(1)+'='+var; genif(part(d,1:length(d)-1)+'+'+var+'-1).le.'+tol,' goto '+tl2)] txt=[txt;t0; ' do '+tl1+' '+var+' = 0'+','+subf(n2,'1'); indentfor(t1);part(tl1+' ',1:6)+' continue'; ' '+o(1)+'='+n2; part(tl2+' ',1:6)+' continue'] [nwrk]=freewrk(nwrk,d) [nwrk]=freewrk(nwrk,e) stk=list(list(o(1),'-1','0','1','1'),list(o(2),'-1','1',m,m),.. list(o(3),'-1','1',n,m),list(o(4),'-1','1',n,n)) end top=top-rhs+1
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//exapple 1.25 clc; funcprot(0); // Initialization of Variable time=4+20/60+30/3600; accn=time*9.8565/3600;//acceleration stime=time+accn;//sideral time disp("local mean time in past midnight observed:"); a=modulo(stime*3600,60); printf("seconds %.3f",a); b=modulo(stime*3600-a,3600)/60; printf(" minutes %i",b); c=(stime*3600-b*60-a)/3600; if c>24 then c=c-24; end printf(" hours %i",c);
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clear all; clc; disp("Scilab Code Ex 5.9 : ") //Given: d = 50; //mm r = d/2; c = d/2; l_buried = 600; //mm G = 40*10^3; //MPa F = 100; //N l_handle= 150; //mm l_ab = 900; //mm //Internal Torque: T_ab = F*2*l_handle; t = T_ab/l_buried; //Maximum Shear Stress: J = (%pi/2)*(r^4); tou_max = (T_ab*c)/(J); //Angle of Twist: x0=0; x1=l_buried; X=integrate('x','x',x0,x1); phi_a = ((T_ab*l_ab)+(50*X))/(J*G); //Display: printf('\n\nThe maximum shear stress in the post = %1.2f N/mm^2',tou_max); printf('\nThe angle of twist at the top of the post = %1.5f rad',phi_a); //---------------------------------------------------------------------------END----------------------------------------------------------------------------
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clc clear [y,Fs]=wavread("C:\Users\Abhinav Raj\Downloads\OnceUponaMidnightDreary.wav"); Fs_new=Fs/0.8 sound(10*y,Fs_new)
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//Chapter 11 //Example 11_4 //Page 275 clear;clc; er=4; l=1000; d_out=1.8; d_in=1; c=er*l*1e-9/41.4/log10(d_out/d_in)/10; printf("Capacitance of the cable = %.3f uF \n\n", c*10e6);
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// Exa 9.9 clc; clear; close; format('v',7) // Given data Rating = 250*10^3;// in VA Pi = 1.8;// in kW Pi = Pi * 10^3;// in W Pcu_f1 = 2000;// in W phi= acosd(0.8);// in ° Eta = ((Rating*cosd(phi))/((Rating*cosd(phi))+Pi+Pcu_f1))*100;// %Eta in % disp(Eta,"The efficiency at full load in % is"); // The maximum efficiency Eta_max = Rating * sqrt(Pi/Pcu_f1 );// in VA Eta_max = Eta_max *10^-3;// in kVA disp(Eta_max,"The maximum efficiency in kVA is"); Eta_max = Eta_max *10^3;// in VA Pcu = Pi;// in W Eta_max1 = ((Eta_max*cosd(phi))/((Eta_max*cosd(phi)) + Pi+Pcu ))*100;// in % disp(Eta_max1,"The maximum efficiency in % is");
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Ex4_42.sce
//calculate resistance nd reactance of circuit P=15000; //power Vl=400;//line voltage V=Vl/1.732 I=35;//line current equal to phase current Z=V/I coso=15e3/(1.732*400*35) R=Z*coso X=sqrt(Z^2-R^2) disp('reactance='+string(X)+'ohms' ,'resistance='+string(R)+'ohms')
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clear;lines(0); besseli(0.5:3,1:4) besseli(0.5:3,1:4,2)
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<cmd> ../build/42sh</cmd> <ref> bash</ref> <stdin> for une_tres_longue_variable_une_tres_longue_variable_une_tres_longue_variable_une_tres_longue_variable_une_tres_longue_variable_une_tres_longue_variable in 0 1 2 3 do echo ok done </stdin>
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mode(-1); warning('off'); // source: Real Hitori App // Easy 10 N13=[7 1 4 2 6 1 8 3 3 3 4 9 2 6 7 3 1 6 1 3 8 2 4 6 5 7 5 8 1 1 3 5 4 7 2 7 4 2 3 7 1 5 7 5 1 7 6 8 8 3 5 4 9 4 1 3 5 6 2 1 4 8 5 5 8 6 3 9 2 7 3 1 4 5 7 9 7 1 3 4 5] C13=[w z w z w w w z w w w w w z w z w w z w w z w w w w z w z w w w w z w w w w w z w z w w z z w z w w w z w w w z w w w z w w z w w w z w w z w w z w z w w z w w z] // Easy 11 N14=[5 1 6 4 9 8 2 4 3 7 6 4 3 4 8 2 9 3 3 8 1 2 6 3 7 5 4 6 2 4 8 1 1 3 7 3 2 6 7 8 8 5 9 4 6 1 9 5 7 8 6 3 1 2 9 7 7 1 5 4 8 2 7 7 1 9 3 2 7 5 6 8 6 4 3 9 7 2 1 7 5] C14=[w w w z w z w w w z w z w w w z w z w w w w w z w w w w w w w z w w w z w z w z w w w z w z w w w z w z w w w w z w w w w w z w z w z w z w w w z w w w w w w z w] // Medium 10 N15=[5 1 1 9 6 3 1 7 4 4 3 7 3 8 5 2 2 1 3 6 8 4 4 2 7 5 7 6 5 4 3 2 7 8 1 8 1 5 9 5 3 4 5 2 8 8 4 8 3 5 6 3 6 3 4 8 6 1 9 6 4 3 2 2 3 6 7 4 3 1 8 1 5 2 3 2 7 1 6 4 6] C15=[w w z w w w z w w z w w z w w w z w w w z w z w z w w w w w w w w w w z w z w w w w z w w z w w z w z w w z w w z w w w z w w w z w w w z w w z z w w z w w z w w] // Medium 11 N16=[1 9 1 3 8 1 5 8 6 2 1 3 2 7 4 6 6 9 6 4 4 9 3 2 1 7 2 8 2 3 5 6 5 9 4 7 5 7 9 1 7 6 7 5 3 8 6 2 8 5 9 8 3 2 9 3 1 7 1 2 6 8 5 1 6 8 2 4 3 3 9 3 2 7 6 5 9 3 3 1 8] C16=[z w z w w w w z w w w w z w w z w w w z w w w w w w z w w z w w z w w w w z w w z w w z w z w w z w w w w z w w z w w z w w w w z w w w w z w z z w w z w z w w w] // Hard 10 N17=[5 2 8 4 4 6 4 9 3 4 2 2 9 8 7 6 3 7 4 5 3 6 6 7 4 2 4 2 8 1 6 4 9 7 4 5 8 1 6 7 9 6 2 1 4 7 1 9 3 3 8 6 6 4 1 6 7 5 2 4 9 4 6 3 6 1 8 1 4 5 8 3 6 9 2 3 7 3 8 5 4] C17=[w w w z w w z w z w z w w w z w w w z w w z w w w w z w w z w z w w z w w z w w w z w w w w w w z w w z w z w z w w w z w w w z w w w z w w z w w w z w w z w w z] // Hard 11 N18=[9 5 8 7 3 1 2 1 3 7 2 4 8 3 9 3 1 6 9 4 7 5 9 6 7 2 1 5 2 3 9 4 2 1 4 8 4 1 7 2 6 3 8 8 5 8 3 1 6 4 6 5 9 5 9 5 4 4 3 1 1 8 7 2 7 5 1 8 6 4 2 9 1 7 7 3 3 5 9 6 7] C18=[w z w w w z w w z w w w w z w w z w z w z w w z w w w w z w w z w w w w w w z w w w w z w w w w w w z w w z z w z w z w z w w w w w w w w w z w w z w w z w w w z] // Challanging 10 // Vanaf Challanging begint backtracking meer een rol te spelen N19=[2 5 7 9 3 3 4 6 1 4 5 2 6 3 1 9 7 5 3 6 7 2 4 5 9 4 3 3 1 6 1 8 3 5 2 4 1 9 5 1 4 4 5 6 3 6 2 3 5 1 7 8 3 9 5 1 8 1 9 3 2 3 7 9 7 3 8 1 2 1 4 6 1 2 9 3 7 7 6 1 2] C19=[w w w w z w w z w w z w w w w z w w z w z w w w w z w w w w z w z w w w z w w w z w z w z w w z w w w w w w w z w z w z w z w w w w w z w w w w w z w w w z w z w] // Challanging 11 N20=[7 1 3 1 5 9 2 8 5 3 5 1 1 9 4 7 1 2 2 1 6 4 3 2 1 3 7 6 1 8 1 2 5 4 5 1 2 6 7 3 8 4 2 1 5 1 9 4 7 4 2 6 3 8 9 3 9 2 2 8 1 7 4 9 2 4 5 7 1 8 6 3 4 8 4 4 1 7 4 2 4] C20=[w z w w w w w w z w w w z w z w z w z w w w z w z w w w z w z w w w z w w w w w w w z w w w w z w w z w z w z w w w z w w w w w w z w w w w w w z w w z w w z w z] // Extreme 10 // in Extreme is backtracking haast onvermijdelijk N21=[9 7 3 3 8 2 6 5 6 7 8 2 5 1 4 9 8 3 1 3 8 9 4 1 7 1 9 2 8 9 6 5 8 4 7 2 5 2 9 9 1 2 6 7 8 2 5 1 8 9 7 3 6 3 4 8 3 7 3 5 5 2 1 7 4 7 1 6 3 2 9 2 1 9 5 8 3 6 8 4 5] C21=[w w w z w w z w w w z w w z w w w z z w w z w z w w w w z w w w w w w z w w z w w z w z w z w w z w w z w w w w z w w z w w w z w w w w w w w z w w z w z w z w w] // Extreme 11 N22=[4 6 7 8 1 6 5 1 3 3 4 3 1 9 3 7 5 6 1 2 9 1 5 3 1 2 8 9 6 3 2 1 5 8 3 4 1 7 1 5 2 4 2 9 2 5 3 4 5 8 1 9 2 6 8 8 1 4 7 3 6 3 9 2 8 5 9 4 7 4 6 1 8 1 1 3 4 1 2 1 5] C22=[w z w w z w w w w w w z w w z w w z w z w z w w z w w w w w w w w w z w z w z w z w z w w w w w z w w w z w w z w w w z w w w w w w w z w w w w z w z w w z w z w]
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/* Nama : Mohamad Fahrio Ghanial Fatihah NPM : 140810190005 Deskripsi : Program Metode Lagrange */ clear; clc; printf('\nProgram Metode Interpolasi Lagrange\n'); X = [0.10 0.12 0.14 0.16 0.18 0.20]; Y = [0.004 0.006 0.008 0.011 0.015 0.018]; printf('Diketahui Data Berikut:\n'); printf('x\tf(x)\n'); for i=1:6 printf('%.2f\t%.3f\n', X(i),Y(i)); end x=input('Masukkan nilai x yang akan dicari f(x)nya = '); ; L = 0; for i = 1:6 pr = 1; for j = 1:6 if j ~= i pr = pr * (x-X(j))/(X(i)-X(j)); end end L = L + Y(i)*pr; end hasil = L; printf('Orde yang digunakan adalah orde terbesar yaitu orde 5\nJadi nilai f(%.2f) adalah : %.6f', x, L);
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clc // Given that Pc = 2.4 // Pressure in combustion chamber in MPa Tc = 3170 // Temperature in combustion chamber in K Pj = 55 // Atmospheric pressure in kPa Pe = 85 // Pressure at the exit of nozzle in kPa At = 0.06 // Area at the nozzle throat in m^2 n_n = 0.91 // Nozzle efficiency Cd = 0.98 // Coefficient of discharge gama = 1.25 // Heat capacities ratio for gases R = 0.693 // Value of gas constant in kJ/kgK theta = 12 // Half angle of divergence in degree printf("\n Example 21.8\n") Vj = sqrt((2*gama*R*1000*Tc/(gama-1))*(1-(Pj/(Pc*1000))^((gama-1)/gama))) Vj_act = ((1+cosd(12))/2)*Vj*sqrt(n_n) m = At*Pc*(10^6)*((gama/(R*1000*Tc))*(2/(gama+1))^((gama+1)/(gama-1)))^(1/2) m_act = Cd*m Ae = m/(Pe*Vj) Ft = m*Vj+Ae*(Pe-Pj)*1000 SIm = Ft/m_act printf("\n Thrust produced = %f kN,\n Specific impulse = %f Ns/kg",Ft*0.001,SIm) // The answers are given in the book contain calculation error.
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//[var]=c(q,qd,u,paramopt) var=fort('c',... q,1,'d',qd,2,'d',u,3,'d',paramopt,4,'d',... 'sort',[1,1],5,'d') //end
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function [gxx,gxy,gxz,gyy,gyz,gzz] = spheretocart(nx,ny,nz,x,y,z,r,grr,grt,grp,gtt,gtp,gpp) // [gxx,gxy,gxz,gyy,gyz,gzz] = spheretocart(nx,ny,nz,x,y,z,r,grr,grt,grp,gtt,gtp,gpp) // [PURPOSE] Convert spherical metric components to cartesian // // [ARGUMENTS] // [INPUT] // nx,ny,nz : grid sizes of the 3d cube. // x,y,z,r : grid vectors // grr,grt,...: Metric tensor in spherical coordinates // [OUTPUT] // gxx,gxy,...: Metric tensor in cartesian coordinates // // [VARIABLES] 3d arrays for coordinate derivative terms // // [CALLED BY] analywave.m // real x(nx,ny,nz),y(nx,ny,nz),z(nx,ny,nz),r(nx,ny,nz) // real grr(nx,ny,nz),grt(nx,ny,nz),grp(nx,ny,nz), // & gtt(nx,ny,nz),gtp(nx,ny,nz),gpp(nx,ny,nz) // real gxx(nx,ny,nz),gxy(nx,ny,nz),gxz(nx,ny,nz), // & gyy(nx,ny,nz),gyz(nx,ny,nz),gzz(nx,ny,nz) // define derivatives drx = (dr/dx) // real drx(nx,ny,nz),dry(nx,ny,nz),drz(nx,ny,nz) // real dtx(nx,ny,nz),dty(nx,ny,nz),dtz(nx,ny,nz) // real dpx(nx,ny,nz),dpy(nx,ny,nz),dpz(nx,ny,nz) drx = x./r; dry = y./r; drz = z./r; dtx = x.*z./((r.^2).*sqrt(x.^2+y.^2)); dty = y.*z./((r.^2).*sqrt(x.^2+y.^2)); dtz = ((z.^2)./(r.^2)-1)./sqrt(x.^2+y.^2); dpx = -y./(x.^2+y.^2); dpy = x./(x.^2+y.^2); dpz = 0.; gxx = (drx.^2).*grr+2.*drx.*dtx.*grt+2.*drx.*dpx.*grp+(dtx.^2).*gtt+2.*dtx.*dpx.*gtp+(dpx.^2).*gpp; gyy = (dry.^2).*grr+2*dry.*dty.*grt+2*dry.*dpy.*grp+(dty.^2).*gtt+2*dty.*dpy.*gtp+(dpy.^2).*gpp; gzz = (drz.^2).*grr+2*drz.*dtz.*grt+2*drz.*dpz.*grp+(dtz.^2).*gtt+2*dtz.*dpz.*gtp+(dpz.^2).*gpp; gxy = drx.*dry.*grr+(drx.*dty+dtx.*dry).*grt+(drx.*dpy+dpx.*dry).*grp+dtx.*dty.*gtt+(dtx.*dpy+dpx.*dty).*gtp+dpx.*dpy.*gpp; gxz = drx.*drz.*grr+(drx.*dtz+dtx.*drz).*grt+(drx.*dpz+dpx.*drz).*grp+dtx.*dtz.*gtt+(dtx.*dpz+dpx.*dtz).*gtp+dpx.*dpz.*gpp; gyz = dry.*drz.*grr+(dry.*dtz+dty.*drz).*grt+(dry.*dpz+dpy.*drz).*grp+dty.*dtz.*gtt+(dty.*dpz+dpy.*dtz).*gtp+dpy.*dpz.*gpp; endfunction
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// Example 1.7.5 page 1.16 // Will total internal reflection take place? clc; clear; n1 = 3.6; // RI of GaAs.. n2 = 3.4; // RI of AlGaAs.. phi1 = 80; // Angle of Incidence.. // According to Snell's law... // n1*sin(phi1)= n2*sin(phi2); //At critical angle phi2 = 90... phiC = asind((n2/n1)*sind(90)); printf('The Critical angel is %.2f degrees',phiC); printf('\n\nFor total internal reflection to take place angle\n of incidence should be greater than the critical angle. \nFrom the calculations, we can thus conclude that Total internal reflection will take place');
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clc T1=300 //temperature in kelvin P1=100 //pressure in kPa P2=2 //pressure in MPa gama=1.4 //Cp/Cv ratio T2=T1*(((P2*10^6)/(P1*10^3))^((gama-1)/gama)) mprintf("T2=%fK\n",T2)//ans vary due to roundoff error Cr=(T1*P2*10^6)/(P1*10^3*T2) mprintf("Compression ratio=%f\n",Cr)//ans vary due to roundoff error R=8.314 W=R*(T1-T2)/(gama-1) mprintf("W=%fkJ/mol",W/1000)//ans vary due to roundoff error
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errcatch(-1,"stop");mode(2);//Caption:Calculate the (a)Speed at full load and developed torque (b)Shaft power (c)Efficiency //Exa:2.40 ; ; V=230;//in volts R_a=0.4;//in ohms I_a1=3.4;//in amperes R_f=170;//in ohms E_b1=V-I_a1*R_a; I_f=V/R_f; I_L=41;//in amperes I_a2=I_L-I_f; E_b2=214.142;//in volts N_1=1000;//in rpm N_2=N_1*E_b2/(E_b1*0.96);//in rpm disp(N_2,'(a)Speed at full load (in rpm)=') T_a=9.55*E_b2*I_a2/N_2; disp(T_a,'Torque Developed (in N-m)=') P_r=E_b1*I_a1; P_m=E_b2*I_a2; P_f=P_m-P_r; disp(P_f,'(b)Shaft Power (in watts)=') P_in=V*I_L; Eff=P_f/P_in; disp(Eff*100,'(c)Efficiency (in %)=') exit();
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function error_desc = mdaq_error(error_id) [error_desc] = mdaq_error2(error_id); if error_id == -1 then error(error_desc); else disp(error_desc); end endfunction
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//Caption:signal to noise ratio //Example 4.8 //page no 171 //find signal to noise ratio clc; clear; //Given data fm=3.5*10^3; r=50*10^3; fs=2*fm; rms=0.2; xmax=2; v=r/fs;//signaling rate r=v*fs v=ceil(v); P=(rms^2)/1; SNR=((3*P*2^(2*v))/(xmax^2)); SN=10*log10(SNR); disp(ceil(SN),"signal to niose ratio"); disp("dB");
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clc,clear printf('Example 2.14\n\n') R_a=0.08, E_b1=242 , V=250 //part(i) I_a1= (V-E_b1)/R_a printf('(i)Armature current = %.0f A',I_a1) //part(ii) N=0 E_b=0 //because N=0 I_a_start=V/R_a printf('\n(ii)Starting armature current = %.0f A',I_a_start) //part(iii) I_a2=120 E_b2=V-I_a2*R_a printf('\n(iii)Back emf if armature current is changed to 120 A= %.1f V',E_b2) //part(iv) I_a=87,N_m=1500 E_g=V + I_a*R_a //induced emf N_g=N_m*(E_g/E_b1)//as E (prop.) N printf('\n(iv)Generator speed to deliver 87 A at 250 V = %.1f rpm',N_g)
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// Scilab code Ex4.4:Pg 117 (2008) clc; clear; N = 600; // Number of turns in a coil F = 1500; // Magnetomotive force, At // Since magnetomotive force,F = N*I, solving for I I = F/N; // Excitation-current, A printf("\nThe excitation current required = %3.1f A", I); // Result // The excitation current required = 2.5 A
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// ELECTRICAL MACHINES // R.K.Srivastava // First Impression 2011 // CENGAGE LEARNING INDIA PVT. LTD // CHAPTER : 4 : DIRECT CURRENT MACHINES // EXAMPLE : 4.5 clear ; clc ; close ; // Clear the work space and console // GIVEN DATA p = 4; // Number of the Poles in the DC machine Nt = 100; // Number of the turns in the Dc machine N = 600; // Rotation speed of the DC machine in RPM E = 220; // EMF generated in open circuit in Volts Z = 200; // Total number of the Conductor in armature // CALCUALTIONS // For case (a) Lap Connected a = 4; // Number of the Poles in the DC machine n = N/60; // Revolution per second phi_a = (E*a)/(p*Z*n); // Useful flux per pole when Armature is Lap connected in Weber // For case (b) Wave Connected a = 2; // Number of the Poles in the DC machine phi_b = (E*a)/(p*Z*n); // Useful flux per pole when Armature is Wave connected in Weber // DISPLAY RESULTS disp("EXAMPLE : 4.5 : SOLUTION :-") ; printf("\n (a) Useful flux per pole when Armature is Lap connected , phi = %.1f Wb \n ",phi_a); printf("\n (B) Useful flux per pole when Armature is Lap connected , phi = %.3f Wb \n ",phi_b);
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//control systems by Nagoor Kani A //Edition 3 //Year of publication 2015 //Scilab version 6.0.0 //operating systems windows 10 // Example 5.5 clc; clear; s=poly(0,'s') a=(s^7)+(9*s^6)+(24*s^5)+(24*s^4)+(24*s^3)+(24*s^2)+(23*s)+15 b=coeff(a) n=length(b) R=routh_t(a) disp(R,'the routh array is;') disp('there is sign change in first column of routh array so ths system is unstable;') ae=s^4+s^2+1 r=roots(ae) disp(r,'the roots of auxilary equation are') disp('two roots lie on right half of splane five roots lie on left half of s plane')
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// ================================================== // Loose 8-5-8 encoder // on a backpropagation network without biases, with SuperSAB // (Note that the tight 8-3-8 encoder will not work without biases) // (The 8-4-8 encoder have proven very difficult to train on SuperSAB) // ================================================== FILENAMEDEM = "enc858_ssab_nb"; scepath = get_absolute_file_path(FILENAMEDEM+".sce"); exec(scepath+FILENAMEDEM+".sci",1); clear scepath; clear FILENAMEDEM; // ==================================================
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//y=mx+b //given x=4,y=6 and x=2.4,y=4.5 clear; clc; close; m=poly(0,'m'); b=6-4*m; //(equation 1) when x=4,y=6 B=4.5-2.4*m;//(equation 2) when x=2.4,y=4.5 P=b-B; disp("the solution is :"); m=roots(P) //substitute this value b=6-4*m //"substitute these values in the equation y=mx+b" x=poly(0,'x'); y=m*x+b
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//unit impulse// clc; f=-2:1:2;//input// y=[zeros(1,2),ones(1,1),zeros(1,2)];//output// subplot(2,2,1); plot2d3(f,y); xlabel('a(n)'); ylabel('amplitude'); title('unit impulse');
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clc clear //INPUT k=0.9;//thermal conductivity in cgs unit a=10;//area of the copper bar in sq.cm t1=100;//hot side temperature in deg.C t2=20;//cool side temperature in deg.C d=25;//thickness of the bar in cm t3=14;//temperature of water when entering in deg.C //CALCULATIONS m=k*a*(t1-t2)/(d*(t2-t3));//rate flow of water in gm/sec //OUTPUT mprintf('rate flow of water is %3.2f gm/sec',m)
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example4_7.sce
clc // Given that tou = 1e-10 // coherence time in sec lambda = 5.4e-7 // wavelength of light in meter // Sample Problem 7 on page no. 4.28 printf("\n # PROBLEM 7 # \n") delta_v = 1 / tou v_ = (3e+8) / lambda // calculation for frequency d = delta_v / v_ // calculation for degree of non-monochromaticity printf("\n Standard formula used \n delta_v = 1 / tou. \n v_ = (3e+8) / lambda. \n d = delta_v / v_. \n ") printf("\n Degree of non-monochromaticity = %f ",d)
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Ex6_2.sce
// SAMPLE PROBLEM 6/2 clc;clear;funcprot(0); // Given data m=150;// kg M=5;// kN theta=30;// degree ACbar=1.5;// m BDbar=1.5;// m ABbar=1.8;// m g=9.81;// The acceleration due to gravity in m/s^2 // Calculation // SigmaM_C=0 A_t=M/ACbar;// kN // SigmaF_t=m*abar_t // alpha=14.81-6.54*cos(theta); wsquare_30=(29.6*theta*%pi/180)-(13.08*sind(theta));// (rad/s)^2 alpha_30=14.81-(6.54*cosd(theta));// rad/s^2 A_n=(m/1000)*ACbar*wsquare_30;// kN A_t=(m/1000)*BDbar*alpha_30;// kN // SigmaM_A=m*abar*d B=((A_n*(ABbar-0.6)*cosd(theta))+(A_t*0.6))/(ABbar*cosd(theta));// kN printf("\nThe force in the link DB,B=%1.2f kN",B);
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4_3.sce
clear clc disp('Ex-4.3') delt=1; //consider time interval of 1 sec delw=1/delt; // since delw*delt =1 from equation 4.4 delf=0.01 //calculated accuracy is 0.01Hz delwc =2*%pi*delf // delwc-claimed accuracy from w=2*pi*f printf('The minimum uncertainity calculated is 1rad/sec. The claimed accuracy is %.3f rad/sec\n',delwc); if delw==delwc then disp('Valid claim'); end if delw~=delwc then disp('Invalid claim'); end
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testinpoly.sce
xpol = [5 5 40 40]; ypol = [5 40 40 5]; xpoly(xpol, ypol) jim = jimread(jimlabPath + '\tests\images\noError\rgba.png') im = jim.image; //gray et rgb for i = 1:50 for j = 1:50 in(i,j) = point_in_polygon(ypol, xpol, i,j); end end out = in .* im; mat = uint8(~isinf(out)) .* out //rgba for i = 1:50 for j = 1:50 in(i,j) = point_in_polygon(ypol, xpol, i,j); end end out = in .* im(:,:,[1:3]); out(:,:,4)=im(:,:,4); mat = uint8(~isinf(out)) .* out;
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example1_52.sce
//exapple 1.52 clc; funcprot(0); // Initialization of Variable //part1 GAT=5+17/60+6/60;//GAT of observation delta=17+46/60+52/3600;//declination i=37/3600*GAT; delta=delta-i; disp("declination of GAT is:"); a=modulo(delta*3600,60); printf("seconds %.2f",a); b=modulo(delta*3600-a,3600)/60; printf(" minutes %i",b); c=(delta*3600-b*60-a)/3600; printf(" degrees %i",c); //part2 pi=3.14159; p=90-delta;//co-declination altitude=23+15/60+20/3600;//altitude of sun i2=2/60+12/3600;//error due to refraction i3=8/3600;//error due to parallax altitude=altitude-i2+i3; c=90-55-46/60-12/3600;//colatitude z=90-altitude;//co altitude s=(p+z+c)/2; s1=s-c; s2=s-p; s3=s-z; A=2*atan(sqrt(sin(s3*pi/180)*sin(s1*pi/180)/sin(s*pi/180)/sin(s2*pi/180))); A=A*180/pi; disp("azimuth of star is:"); a=modulo(A*3600,60); printf("seconds %.2f",a); b=modulo(A*3600-a,3600)/60; printf(" minutes %i",b); c=(A*3600-b*60-a)/3600; printf(" degrees %i",c); clear
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aaaaa=csvRead('/home/ubuntu/rasp30/prog_assembly/libs/chip_parameters/mismatch_map/mismatch_map_chip21'); bbbbb=csvRead('/home/ubuntu/rasp30/prog_assembly/work/calibration_step4/mmap_data_files/Vto_mismatch_data'); aaaaa(1:36,3)=aaaaa(1:36,3)+bbbbb(1:36,3); aaaaa(1:36,:) csvWrite(aaaaa,'/home/ubuntu/rasp30/prog_assembly/libs/chip_parameters/mismatch_map/mismatch_map_chip21');
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F_test.sci
function [F]=F_test(Alpha,Test) if Alpha ==0.05 then if (Test==1 |Test==2) then F = 2.65 else F = [0.403,2.62] end elseif Alpha ==0.01 F = 0.176; end endfunction
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9_1_soln.sce
clc; pathname=get_absolute_file_path('9_1_soln.sce') filename=pathname+filesep()+'9_1_data.sci' exec(filename) // Solution: // cylinder speed during extending stroke, vp_ext=(Qp*231)/(Ar*60); //in/s // load carrying capacity during extending stroke, Fload_ext=p*Ar; //lb // power delivered to load during extending stroke, Power_ext=(Fload_ext*vp_ext)/(550*12); //HP // cylinder speed during retracting stroke, vp_ret=(Qp*231)/((Ap-Ar)*60); //in/s // load carrying capacity during retracting stroke, Fload_ret=p*(Ap-Ar); //lb // power delivered to load during retracting stroke, Power_ret=(Fload_ext*vp_ext)/(550*12); //HP // Results: printf("\n Results: ") printf("\n The cylinder speed during extending stroke is %.1f in/s.",vp_ext) printf("\n The load carrying capacity during extending stroke is %.0f lb.",Fload_ext) printf("\n The power delivered to load during extending stroke is %.1f HP.",Power_ext) printf("\n The cylinder speed during retracting stroke is %.2f in/s.",vp_ret) printf("\n The load carrying capacity during retracting stroke is %.0f lb.",Fload_ret) printf("\n The power delivered to load during retracting stroke is %.1f HP.",Power_ret)
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T=360+273 //Kelvin P=3 //atm Vdot=1100 //kg/h M=58.1
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example_11_5.sce
//Chapter 11 //Example 11.5 //page 413 //To find Double line to ground fault current and voltage of healthy phase clc;clear; Z1eq=0.09*%i; Z2eq=0.075*%i; Z0=(%i*0.1); Ea=1; a=(-0.5+%i*sqrt(3)/2); //to find the sequence components of healthy phase Ia1=Ea/(Z1eq+(Z2eq*Z0/(Z2eq+Z0))); Va1=Ea-(Ia1*Z1eq); Va2=Va1; Va0=Va1; Ia2=-(Va2/Z2eq); Ia0=-(Va0/Z0); I=[1 1 1;a^2 a 1;a a^2 1]*[Ia1; Ia2; Ia0]; //voltage of the healthy phase Va=3*Va1; //displaying the results printf('Ia1=-j%0.3f\n',abs(Ia1)); printf(' Ia2=j%0.3f\n',abs(Ia2)); printf(' Ia0=j%0.3f\n\n',abs(Ia0)); printf(' Ia=%0.3f + j%0.3f\n',real(I(1,1)),imag(I(1,1))); printf(' Ib=%0.3f + j%0.3f\n',real(I(2,1)),imag(I(2,1))); printf(' Ic=%0.3f + j%0.3f\n\n',real(I(3,1)),imag(I(3,1))); printf(' Voltage of the healthy phase Va=3Va1=%0.3f',Va);
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ex18_8.sce
// Example 18.8, page no-464 clear clc N=5*10^28 //m^-3 alfe=2*10^-40 //F m^2 eps=8.854*10^-12 P=N*alfe E_ratio=1/(1-(P/(3*eps))) printf("The ratio of the internal field to the applied field = %.4f",E_ratio)
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//Example 9.12. refer fig 9.56 clc RS=50 RE=2*10^3 Ro=1*10^3 RL=4*10^3 VEE=6 VBE=0.7 RC=1000 VS=10*10^-3 format(5) IE=(VEE-VBE)/RE x1=IE*10^3 disp("We know that, IE = VEE-VBE / RE") disp(x1,"Therefore, IE(mA) =") re=0.026/IE disp(re," Zb(ohm) = re(ohm) =") Zi=(re*RE)/(re+RE) disp(Zi," Zi(ohm) = re || RE =") format(6) Av=RC/re disp(Av," Av = RC / re =") x=Av*(re/(re+RS))*(RL/(RL+RC)) disp(x," VL / VS = Av*(re/re+RS)*(RL/RL+RS) =") VL=x*VS x2=VL*10^3 disp(x2," VL(in mV (rms)) = Av*VS =") iL=VL/RL format(5) x3=iL*10^6 disp(x3," iL( in uA (rms)) = VL / RL =") alpha=1 format(6) y=alpha*(RS/(RS+re))*(RC/(RC+RL)) disp(y," iL / iS = alpha*(RS/RS+re)*(RC/RC+RL) =")
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function [z]=milk_drop(x,y) // chute d'une goutte de lait. //! sq=x**2+y**2; z= exp( exp(-sq).*(exp(cos(sq)**20)+8*sin(sq)**20+2*sin(2*(sq))**8) );
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EX9_20.sce
clc;funcprot(0);//Example 9.20 //Initilisation of Variables r1=0.3;...//Radius of spherical tank in m T1=100;...//Temparature of fluid in spherical tank in K r2=0.5;...//Radius of spherical tank inside in m T2=300;...//Temparature of fluid in spherical tank inside in K e1=0.15;...//Emissivity of inner tank e2=0.25;...//Emissivity of outer tank rs=0.4;...//Radius of spherical shield in m es=0.4;...//Emissivity of spherical plate F12=1;....//shape factor of the spherical tank R=5.67*10^-8;.....//Stefens boltsman constant //calculations A1=4*%pi*r1^2;...//Area of inside of spherical tank in m A2=4*%pi*r2^2;...//Area of outside of spherical tank in m As=4*%pi*rs^2;...//Area of outside of spherical tank in m R1=(1-e1)/(A1*e1);.....//Resistance of Sperical tank inside in sq m R12=1/(A1*F12);....//Resistance of both inner and outside of spherical tank in sq m R12s=1/(As*F12);....//Resistance of both inner and outside of spherical t R2=(1-e2)/(A2*e2);.....//Resistance of spherical tank outside in sq m Rtoti=R1+R12+R2;....//Total Resistancein sq m Rs=(1-es)/(As*es);.....//Resistance of spherical plate in sq m Q12i=(R*(T1^4-T2^4))/Rtoti;.....//Rate of heat loss without sheild in W Q12ii=(A1*R*(T1^4-T2^4))/((1/e1)+((r1/r2)*((1/e2)-1))+((r1/rs)*((2/es)-1)));....//Rate of heat loss with sheild in W disp(Q12i,"Rate of heat loss without sheild in W:") disp(Q12ii/100,"Rate of heat loss with sheild in W:")
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10_17.sce
//Problem 10.17: //initializing the variables: T = 1900;// in deg F ea0 = 0 ea100 = 1 //calculation: NHV0 = 0.3*(T-60)/(1 - (1+ ea0)*7.5E-4*0.3*(T-60)) NHV100 = 0.3*(T-60)/(1 - (1+ea100)*7.5E-4*0.3*(T-60)) printf("\n\nResult\n\n") printf("\n NHV for 0 percent Excess air is %.0f Btu/lb and for 100 percent is %.0f Btu/lb",NHV0, NHV100)
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Scilab
false
false
149
sce
3_15.sce
clc //initialisation of variables Hf= -196.5 //kcal H= -399.14 //kcal //CALCULATIONS H1= H-Hf //RESULTS printf (' Enthalpy = %.1f kcal ',H1)
a3e837fb39ba9674db74ebfb97277a633a369bce
089894a36ef33cb3d0f697541716c9b6cd8dcc43
/NLP_Project/test/tweet/bow/bow.18_5.tst
4818e0d9b1622285dd883586d943a8f0c58c2c74
[]
no_license
mandar15/NLP_Project
3142cda82d49ba0ea30b580c46bdd0e0348fe3ec
1dcb70a199a0f7ab8c72825bfd5b8146e75b7ec2
refs/heads/master
2020-05-20T13:36:05.842840
2013-07-31T06:53:59
2013-07-31T06:53:59
6,534,406
0
1
null
null
null
null
UTF-8
Scilab
false
false
28,117
tst
bow.18_5.tst
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// Exa 2.5 clc; clear; close; format('v',5) // Given data V1 = 12;// in V V2 = 10;// in V R1 = 6;// in ohm R2 = 7;// in ohm R3 = 4;// in ohm R_T = R1 + ( (R2*R3)/(R2+R3) );// in ohm I_T = V1/R_T;// in A I1 = (R2/(R2+R3))*I_T;// in A R_T = R2 + ( (R1*R3)/(R1+R3) );// in ohm I_T = V2/R_T;// in A I2 = (R1*I_T)/(R1+R3);// in A // current across 4 ohm resistor I = I1+I2;// in A disp(I,"The current across 4 ohm resistor in A is");
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boardsize 4 play w a1 play b g1 play w a2 play b f3 play w b3 play b e5 play w c3 play b d7 play w c2 play b d5 1 havannah_winner #? [none] play w b1 2 havannah_winner #? [white]
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//chapter9,Example9_7,pg 239 V=50*10^3 lam=(12400/V)*10^-10 n=4//FCC crystal m=74.6 N=6.022*10^26 rho=1.99*10^3 a=(((n*m)/(N*rho))^(1/3)) //for kcl ionic crystal d=a/2 theta=asin(lam/(2*d)) theta=theta*(180/%pi) printf("min. wavelength of spectrum from tube\n") disp(lam) printf("glancing angle for that wavelength\n") printf("theta=%.2f deg.",theta)
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//6.4 clc; R1=45; R2=100-R1; l=500; x=2*l*R1/(R1+R2); printf("Position of the fault from the test end=%.1f m",x)