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// Defining an inline function. deff('[x,y]=myfun(a,b)',['x=a+b';'y=a-b']) [x,y]=myfun(3,4) // function call
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<<<<<<< HEAD function w = kaiser (m, varargin) //This function returns the filter coefficients of a Kaiser window. //Calling Sequence //w = kaiser (m) //w = kaiser (m, beta) ======= function w = kaiser (m, beta) //This function returns the filter coefficients of a Kaiser window. //Calling Sequence //w = kaiser (m) //w = kaiser (m, beta) >>>>>>> 6bbb00d0f0128381ee95194cf7d008fb6504de7d //Parameters //m: positive integer value //beta: real scalar value //w: output variable, vector of real numbers <<<<<<< HEAD ======= >>>>>>> 6bbb00d0f0128381ee95194cf7d008fb6504de7d //Description //This is an Octave function. //This function returns the filter coefficients of a Kaiser window of length m supplied as input, to the output vector w. //The second parameter gives the stop band attenuation of the Fourier transform of the window on derivation. <<<<<<< HEAD //Examples //kaiser(6,0.2) // ans = // ======= //Examples //kaiser(6,0.2) //ans = >>>>>>> 6bbb00d0f0128381ee95194cf7d008fb6504de7d // 0.9900745 // 0.9964211 // 0.9996020 // 0.9996020 // 0.9964211 // 0.9900745 <<<<<<< HEAD funcprot(0); rhs = argn(2) if(rhs<1 | rhs>2) error("Wrong number of input arguments.") end if length(varargin)==0 then bet = 0.5; //default value of beta is 0.5 else bet = varargin(1); end w = window('kr', m, bet) //default value of beta is 0.5 w = w' ; ======= funcprot(0); rhs = argn(2) if(rhs<1 | rhs>2) error("Wrong number of input arguments.") end if(rhs==1) w = callOctave("kaiser", m) elseif(rhs==2) w = callOctave("kaiser", m, beta) end >>>>>>> 6bbb00d0f0128381ee95194cf7d008fb6504de7d endfunction
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errcatch(-1,"stop");mode(2);//Calulate Total no. of created vacancies //Ex:6.5 ; ; r=1.7*10^-10;//atomic radius in m n1=10^-3;//1mm=10^-3m a=2*r;//in m n=n1/a; ed=2*10^-6;//edge dislocation in m ns=ed/a; nv=n*ns; disp(nv,"Total no. of created vacancies = "); exit();
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//To Determine the location and magnitude of minimum voltage //Page 114 clc; clear; Vs=220; //Supply Voltage at End A and B //Different Conductor Lenghts //From End A L1=100; L2=50; L3=50; L4=400; //Length of uniform loading A=0.5; //Uniforming loading spread over 400m r=0.05; // Resistance of Conductor per Km //Different Currents drawn by various loads I1=50; I2=75; I3=A*L4; //Taking moments of all currents at A; Ib=((I1*L1)+((L1+L2)*I2)+((L1+L2+L3+(L4/2))*I3))/(L1+L2+L3+L4); Ia=I1+I2+I3-Ib; //Minimum Potential Point in this case is the point where All the current from B is drawn X=Ib/A; // Distance from B; Y=(L1+L2+L3+L4)-X; //Distance from A; //Minimum Potential Drop Vmind=(2*r/1000)*((Ia*L1)+((Ia-I1)*L2)+((Ia-I1-I2)*L3)+(((Y-L1-L2-L3)*A)*((Y-L1-L2-L3)/2))); Vmin=Vs-Vmind; //Minimum Potential printf('The Location of The Minimum Voltage is %g m from side A and its magnitude is %g V\n',Y,Vmin)
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clear // // // //Variable declaration d=1.6 //lattice spacing(angstrom) theta=90*%pi/180 //glancing angle(radian) lamda=1.5 //wavelength of X-rays(angstrom) //Calculation n=2*d*sin(theta)/lamda //maximum order of diffraction //Result
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//Example 1.50.d // variance clc; clear; close; //given data : n=10; a=39.6; b=39.9; c=39.7; d=39.9; e=40; f=39.8; g=39.9; h=39.8; i=40.4; j=39.7; q=(a+b+c+d+e+f+g+h+i+j)/n; d1=a-q; d2=b-q; d3=c-q; d4=d-q; d5=e-q; d6=f-q; d7=g-q; d8=h-q; d9=i-q; d10=j-q; d=(abs(d1)+abs(d2)+abs(d3)+abs(d4)+abs(d5)+abs(d6)+abs(d7)+abs(d8)+abs(d9)+abs(d10))/n; s=sqrt(((d1^2)+(d2^2)+(d3^2)+(d4^2)+(d5^2)+(d6^2)+(d7^2)+(d8^2)+(d9^2)+(d10^2))/(n-1)); r1=0.6745*s; rm=r1/sqrt(n-1); R=i-a; disp(q,"the arithmetic mean,q(degree celcius) = ") disp(s,"the standard deviation(degree celcius) = ") disp(r1,"probable error of one reading,r1(degree celcius) = ") disp(rm,"probable error of mean,rm(degree celcius) = ") disp(R,"range,R(degree celcius) = ")
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clc nm=0.98 //Assigning values to parameters kva=15 x=1 pf=1 wi=((x*kva*pf/nm)/2-(x*kva*pf)/2) wcu=wi kw=2 pf=0.5 kva=kw/pf cl1=(kva/15)*(kva/15)*wi kw=12 pf=0.8 kva=kw/pf cl2=0.153 kw=18 pf=0.9 kva=kw/pf cl3=(kva/15)*(kva/15)*wi tec=cl1*12+cl2*6+cl3*6 tei=3.672 eo=204 n=eo*100/(eo+tei+tec) disp(n,"The efficiency is")
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//Example number 8.9, Page number 173 clc;clear; close; //Variable declaration A=100; //area(m**2) B=0.01; //flux density(wb/m**2) H=40; //magnetic field(amp/m) M=7650; //atomic weight(kg/m**3) //Calculation h=A*B*H; //hysteresis loss per cycle(J/m**3) //Result printf("hysteresis loss per cycle is %.f J/m^3",h)
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clc //initialisation of variables M= 100*10^6 //Nmm BeamB= 300 //mm BeamL= 200 //mm BeamT= 25 //mm BeamT2= 20 //mm //CALCULATIONS Iz= ((BeamL*BeamB^3)/12)-((BeamL-BeamT)*(BeamB-2*BeamT2)^3)/12 sigmaxbyY= -M/Iz SB= sigmaxbyY*(BeamB/2) ST= sigmaxbyY*(-BeamB/2) //RESULTS printf ('Stress at top of the beam= %.2fN/mm^2(Tension)',ST) printf ('\n Stress at bottom of the beam= %.2fN/mm^2(compression)',SB)
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//Chapter-13, Example 13.5, Page 558 //============================================================================= clc clear //INPUT DATA po2=2;//Pressure of O2 in bar Di=0.025;//inside diamter of the pipe in m L=0.0025;//Wall thickness in m a=(0.21*10^-2);//Diffusivity of O2 in m^2/s S=(3.12*10^-3);//Solubility of O2 in k.mol/m^3.bar DAB=(0.21*10^-9);//Binary diffusion coefficient in m^2/s //CALCULATIONS CAi=(S*po2);//Concentration of O2 on inside surface in kmol/m^3 RmA=((log((Di+(2*L))/Di))/(2*3.14*DAB));//Diffusion resistance in sm^2 Loss=(CAi/RmA)/10^-11;//Loss of O2 by diffusion per meter length of pipe *10^-11 //OUTPUT mprintf('Loss of O2 by diffusion per meter length of pipe is %3.2f*10^-11 kmol/s',Loss) //=================================END OF PROGRAM==============================
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clc clear //INPUT DATA r=1.85*10^-10//the radius of sodium atom in m t=3*10^-14//the classic value of mean free time in sec temp=0//temperature in centigrade na=2//number of atoms in a unit cell ne=1//number of electrons per unit cell e=1.6*10^-19//charge of electron in coulombs m=9.11*10^-31//mass of a electron in kg //CALCULATION a=(4*r)/sqrt(3)//a is one side in bcc structure unit cell in m v=a*a*a//volume of bcc structure unit cell in m^3 n=(na*ne)/v//density of electrons per unit volume in m^-3 r=(m/(n*e^2*t))/10^-8//The electrical resistivity in ohm metre *10^-8 //OUTPUT printf('The electrical resistivity is %3.2f *10^-8 in ohm metre',r)
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clc // Fundamental of Electric Circuit // Charles K. Alexander and Matthew N.O Sadiku // Mc Graw Hill of New York // 5th Edition // Part 1 : DC Circuits // Chapter 4 : Circuit Theorems // Example 4 - 18 clear; clc; close; // // Given data Vs = 220.0000; R1 = 1000.0000; R3 = 3000.0000; R4 = 400.0000; R6 = 600.0000; Rm = 40.0000; // // Calculations Rp1 Rp1 = (R1*R3)/(R1 + R3); // Calculations Rp2 Rp2 = (R4*R6)/(R4 + R6); // Calculations Rs1 Rth = Rp1 + Rp2 // Calculation Vth V1 = (R1/(R1 + R3))*Vs; V2 = (R6/(R4+R6))*Vs; Vth = V1 - V2; // Calculation IG IG = Vth/(Rth + Rm) // // Display the result disp("Example 4-18 Solution : "); printf(" \n IG = Current Through The Galvanometer = %.3f mA",IG*1000)
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//Variable declaration: T1 = 127.0+273.0 //Surface temperature (K) T2 = 20.0+273.0 //Wall temperature (K) T3 = 22.0+273.0 //Air temperature (K) s = 5.669*10**-8 //Stefan-Boltzmann constant e = 0.76 //Surface emissivity of anodized aluminium D = 0.06 //Diameter of %pipe (m) L = 100.0 //Length of %pipe (m) h = 15.0 //%pipe convective heat transfer coefficient (W/m^2.K) //Calculation: Eb = s*T1**4 //Emissive energy of %pipe (W/m^2) E = e*Eb //Emissive power from surface of %pipe (W/m^2) A = %pi*D*L //Surface area of %pipe (m^2) Qc = h*A*(T1-T3) //Convection heat transfer to air (W) Qr = e*s*A*(T1**4-T2**4) //Radiation heat transfer rate (W) Q = Qc+Qr //Total heat transfer rate (Btu/h) Tav = (T1+T2)/2.0 //Average temperature (K) hr = 4*e*s*Tav**3 //Radiation heat transfer coefficient (W/m^2.K) //Result: printf("The emissive power from surface of %%pipe is : %.0f W/m^2.",E) printf("The convection heat transfer to air is : %.1f kW.",Qc/10**3) printf("The radiation heat transfer rate is : %.1f kW",Qr/10**3) printf("The radiation heat transfer coefficient is : %.1f W/m^2.K.",hr)
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clear //Given u=1.33 a=90 //Calculation // ap=atan(u)*180/3.14 A=a-ap //Result printf("\n Angle between the sun and the horizon is %0.0f Degree",A)
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example3_21_TACC.sce
//example 3.21 clear; clc; //Given: Cp1=poly([26.0, 43.5*10^-3, -148.3*10^-7],'T','c');//heat capacity for CO2(g)[J/K/mol] Cp2=poly([30.36, 9.61*10^-3, 11.8*10^-7],'T','c');//heat capacity for H2O(g)[J/K/mol] Cp3=poly([27.30, -5.23*10^-3, -0.04*10^-7],'T','c');//heat capacity for N2(g)[J/K/mol] H1=-881.25;//heat of combustion of methane at 298K[KJ/mol]: CH4 + 2O2(g) --> CO2(g) + 2H2O(l) H2=43.6;//heat of vaporization of water at 298K[KJ/mol]: H2O(l)-->H2O(g) T1=298;//initial temperature [K] //to find the maximum flame temperature when one mole of methane is burnt completely in calculated amount of air(N2 to O2 ratio 4),at constant pressure H=(H1+2*H2);//enthalpy of reaction: CH4 + 2O2(g) --> CO2(g) + 2H2O(g) [KJ] printf("H(enthalpy of reaction)=%f KJ/mol.\n",H); printf("H(enthalpy of heating)=%f KJ/mol. \n",-H); Cp=Cp1+2*Cp2+8*Cp3;//[J/K/mol] P=poly([0 , 305.12 , 52.28*10^-3 , -41.66*10^-7] , 'T' , 'c'); i=horner(P,298); c1=-H*1000+i; P1=poly([-c1 , 305.12 , 52.28*10^-3 , -41.66*10^-7] , 'T' , 'c'); T2=roots(P1) printf("T2 (maximum flame temperature)= %f K",T2(1));
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//Example 4.20 //use of the minimum field width feature i = 12345; x = 345.678; printf("%3d %5d %8d\n\n", i, i, i); printf("%3f %10f %13f\n\n", x, x, x); printf("%3e %13e %16e", x, x, x);
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15_02.sce
//Chapter 15, Problem 2 clc; f1=50; //frequency in hertz L1=40e-3; //inductance V=240; //voltage V2=100; //voltage f2=1000; //frequency in hertz Xl=2*%pi*f1*L1; //inductive reactance Xl2=2*%pi*f2*L1; //inductive reactance I=V/Xl; //current I2=V2/Xl2; //current printf("(a) Inductive reactance, Xl = .2%f ohm \nCurrent I = %.2f A\n\n",Xl,I); printf("(b) Inductive reactance, Xl = %.1f ohm \nCurrent I = %.3f A\n\n",Xl2,I2);
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Ex6_16.sce
// Problem no 6.16,Page No.171 clc;clear; close; E=200*10**9 //Pa I=2500*10**-8 //m**4 //Calculations //Taking moment about A we get R_a=(30*5+30*1)*6**-1 //Reaction at pt A R_b=60-R_a //Reaction at pt B M_c=30*1 //B.M at C M_d=30*1 //B.M at D M_a=0 //B.M at a M_b=0 //B.M at b //For conjugate beam taking moment about B_dash R_a_dash=(30*2**-1*(5+1*3**-1)+30*4*3+30*2*3**-1*2**-1)*6**-1 R_b_dash=150-R_a_dash y_e=1*(E*I)**-1*(R_a_dash*3-30*2*1-2**-1*1*30*(2+1*3**-1))*1000 //Result printf("Deflection at the centre is %.2f",y_e);printf(" m")
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Ex8_3.sci
clc(); clear; // To find the heat transfer coefficient at x = 12 in. Tp = 176; // Temperature of plate in F Ta = 68; // Tempearture of air stream in F Tm = (Tp+Ta)/2; // Maen temperature in F u = 30; // Velocity in fps n = 19.45*10^-5; // Dynamic visosity in ft^2/sec v = 30; // Velocity in fps Pr = 0.703; // Prandtls number x = 12/12; // distance in ft k = 0.0162; // Thermal conductivity in Btu/hr-ft^2-F Re = v*x/n; // Reynolds number // The boundary layer must be laminar or turbulent St = 0.0296*(Re)^-(1/5)/(1+1.75*0.87*(Re)^-(1/10)*(Pr-1)); // Strantons number Nu = Re*Pr*St; // Nusselt number h = Nu*k/x; // Heat transfer coefficient printf("The heat transfer coefficient of heating of water for laminar is %.2f Btu/hr-ft^2-F",h) // If the flow is laminar Nu1 = 0.332*Re^(1/2)*Pr^(1/3); // Nusselt number h1 = Nu1*k/x; // Heat transfer coefficient printf(" \n The heat transfer coefficient for turbilent layer is %.2f Btu/hr",h1);
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Ex5_1.sce
// exa 5.1 Pg 142 clc;clear;close; // Given Data ps=2.5;// MPa D=1.5;//m sigma_t=80;// MPa tau=60;// MPa sigma_c=120;// MPa n=5;// no. of rivets printf('DESIGNING LONGITUDINAL JOINT - \n') printf('\n Plate Thickness') eta_l=80;// % (efficiency) t = ps*D*1000/2/sigma_t/(eta_l/100)+1;// mm printf(', t = %.2f mm',t) t=32;//mm (adopted for design) printf('\n use t = %d mm',t) printf('\n Diameter of rivet hole, do = ') d0=6*sqrt(t);//mm (for t>8 mm) printf('%.2f mm',d0) d0=34.5;// suggested for design printf('\n Use do = %.f mm',d0) printf('\n Diameter of rivet, d = ') d=d0-1.5;//mm printf('%.2f mm',d) printf('\n Pitch of rivets, p = ') Ps=(4*1.875+1)*%pi/4*d0**2*tau;// N // Putting Pt=Ps where Pt=(p-d0)*t*sigma_t;// N Pt=Ps;//N p=Pt/(t*sigma_t)+d0;// N printf('%.1f mm',p) C=6;// for 5 no. of rivets pmax=C*t+40;// mm (as per IBR) printf('\n as per IBR-\n pitch, pmax = %.f mm',pmax) p=220;// mm (adopted for design) printf('\n Use p = %.f mm',p) pi=p/2;// mm printf('\n pitch of rivets in inner row, pi = %.f mm',pi) //Distance between rows of rivets dis1=0.2*p+1.115*d0;// mm printf('\n distance between outer and adjacent row = %.1f mm',dis1) dis1=85;//mm (adopted for design) printf('\n take & use this distance = %.f mm', dis1) dis2=0.165*p+0.67*d0;// mm printf('\n distance between inner row for zig-zag riveting = %.1f mm', dis2) dis2=60;//mm (adopted for design) printf('\n take & use this distance = %.f mm', dis2) printf('\n Thickness of wide butt strap, t= ') t1=0.75*t;// mm (wide butt strap) printf(' %.f mm',t1) t2=0.625*t;// mm (narrow butt strap) printf('\n Thickness of narrow butt strap, t= %.f mm',t2) //margin m=ceil(1.5*d0);// mm printf('\n margin, m = %.f mm',m) // Efficiency of joint Pt=(p-d0)*t*sigma_t;// N Ps=Ps;// N (shearing resistance of rivets) Pc=n*d0*t*sigma_c;// N (crushing resistance of rivets) sigma_com = (p-2*d0)*t*sigma_t+%pi/4*d0**2*tau;// N printf('\n strength of the joint = %d N',sigma_com) P=p*t*sigma_t;//N (strength of solid plate) printf('\n strength of solid plate = %d N',P) eta_l=sigma_com/P*100;// % (efficiency) printf('\n Efficiency of joint, eta_l = %.1f %%',eta_l) printf('\n\n DESIGNING CIRCUMFERENTIAL JOINT- \n') t=32;// mm d0=34.5;//mm d=33;//mm printf('\n Plate Thickness') printf(', t = %.2f mm',t) printf('\n Diameter of rivet hole, do = ') printf('%.2f mm',d0) printf('\n Diameter of rivet, d = ') printf('%.2f mm',d) n=(D*1000/d0)**2*(ps/tau);// no. of rivets printf('\n no. of rivets = %.1f',n) n=80;// adopted for design printf('\n take n = %d',n) // Pitch of rivets n1=n/2;// no. of rivets per row pc=%pi*(D*1000+t)/n1;// mm (pitch of rivets) printf('\n pitch of rivets, pc = %.2f mm\n use pc = %.f mm',pc,pc) eta_c=(pc-d0)/pc*100;// % (efficiency of joint) printf('\n Efficiency of joint, eta_c = %.2f %%',eta_c) dis=0.33*pc+0.67*d0;// mm (distance between rows of rivets) printf('\n for zig-zag riveting, distance between rows of rivets = %.1f mm. use 65 mm', dis) m=1.5*d0;// mm (Margin) printf('\n margin, m = %.f mm',m)
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Ex5_6.sce
//Section-1,Example-6,Page no.-AC.164 //To calculate the quantity of air needed for complete combustion of 1 kg fuel.. clc; W_C=720 //(gm) W_H=50 //(gm) W_S=30 //(gm) W_O=40 //(gm) WO_net=(((32/12)*W_C)+((16/2)*W_H)+((32/32)*W_S))-W_O //(gm) M=WO_net*(100/23)*10^-3 disp(M,'mass of air needed for complete combustion(kg)')
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[0,0,0,0,0,0,0,0,0,0,1,4,6,4,1] | [1,1,1,1,2,1,1,3,3,1] = quot[1,1] = 1, remd = [[0],[0,0],[0,0,0],[0,0,0,0],[1,4,6,4,1]], prod = [[0],[0,1],[0,1,1],[0,1,2,1],[0,1,3,3,1]] quot[1,0] = 1, remd = [[0],[0,-1],[0,-1,-1],[0,-1,-2,-1],[1,3,3,1], prod = [[0],[1,0],[1,1,0],[1,2,1,0],[1,3,3,1] quot[0,0] = -1, remd = [[0],[-1,-1],[-1,-2,-1],[-1,-3,-3,-1]], prod = [[-1],[-1,-1],[-1,-2,-1],[-1,-3,-3,-1]] reduce: [[0],[0,0],[0,0,0],[0,0,0,0],[1,4,6,4,1]] / [[1],[1,1],[1,2,1],[1,3,3,1]] -> [[-1],[1,1]] rest [[1]] quot[3,3] = 1, remd = [[1],[1,1],[1,2,1],[1,3,3,1]], prod = [[0],[0,0],[0,0,0],[0,0,0,1]] quot[3,2] = 3, remd = [[1],[1,1],[1,2,1],[1,3,3], prod = [[0],[0,0],[0,0,0],[0,0,3] quot[3,1] = 3, remd = [[1],[1,1],[1,2,1],[1,3], prod = [[0],[0,0],[0,0,0],[0,3] quot[3,0] = 1, remd = [[1],[1,1],[1,2,1],[1], prod = [[0],[0,0],[0,0,0],[1] quot[2,2] = 1, remd = [[1],[1,1],[1,2,1]], prod = [[0],[0,0],[0,0,1]] quot[2,1] = 2, remd = [[1],[1,1],[1,2], prod = [[0],[0,0],[0,2] quot[2,0] = 1, remd = [[1],[1,1],[1], prod = [[0],[0,0],[1] quot[1,1] = 1, remd = [[1],[1,1]], prod = [[0],[0,1]] quot[1,0] = 1, remd = [[1],[1], prod = [[0],[1] quot[0,0] = 1, remd = [[1]], prod = [[1]] reduce: [[1],[1,1],[1,2,1],[1,3,3,1]] / [[1]] -> [[1],[1,1],[1,2,1],[1,3,3,1]] rest [[0]] reduced: [[1]] result: [[1]]
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4_10exam.sce
//Engineering and Chemical Thermodynamics //Example 4.10 //Page no :202 //Solution(a) clear ; clc ; T = 100 + 273 ; //[K] P = 70 * 10^5 ; //[N/m^2] P_c = 42.2 * 10 ^ 5 ; T_c = 370 ; //[K] w = 0.153 ;// Interpolating from table C.1 and C.2 z_0 = 0.2822 ;// Interpolating from table C.1 and C.2 z_1 = - 0.0670 ;// Interpolating from table C.1 and C.2 m = 20 * 10^3 ;//[g] MW = 44 ; //[g/mol] R = 8.314 ; P_r = P / P_c ; T_r = T / T_c ; z = z_0 + w * z_1 ; V = m / MW *z * R * T / P ; disp(" Example: 4.10 Page no : 202") ; printf("\n (1)\n Volume = %.4f m^3 \n\n", V ) //Solution(b) T = 295 ;//[K] n = 50 ; // [mol] a = 0.42748 * R^2 * T_c^2.5 / P_c ; b = 0.08664 * R * T_c / P_c ; v = 0.1 ; P = R * T / (v - b) - a / (T^0.5 * v * (v + b)) ; x = P * n * 10^-6 ; printf("\n (2)\n Pressure = %d MPa \n\n", x ) //Solution (c) y1 = 0.4 ; y2 = 1 - y1 ; n = 50 ; P_c = 48.7 * 10^5 ;//[N/m^2] T_c = 305.5 ; //[K] a1 = a ; b1 = b ; a2 = 0.42748 * R^2 * T_c^2.5 / P_c ; b2 = 0.08664 * R * T_c / P_c ; a_mix = y1^2 * a1 + 2 * y1 * y2 * sqrt(a1 * a2) + y2^2 * a2 ; b_mix = y1 * b1 + y2 * b2 ; P = R * T / (v - b_mix) - a_mix /(T^0.5 * v * (v + b_mix)); x = P * n * 10^-6 ; printf("\n (3)\n Pressure = %.2f MPa \n\n", x )
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14_6.sce
clc //Initialization of variables disp("from table 14.1,") r1=1.75*10^-5 //m r2=1.772*10^-4 //m mp=1.008*10^-14 //m^2 //calculations r3=r2/r1 mH2=r3*mp mH=sqrt(mH2) //results printf("Concentraton of Hplus ions = %.1e M",mH)
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//chapter 8 //example 8.3 //Calculate relative permeability of a ferromagentic material //page 236 clear; clc; //given H=220; // in A/m (magnetic field intensity) I=3300; // in A/m (intensity of magnetisation) //calculate mu_r=1+(I/H); // calculation of relative permeability printf('\nThe relative permeability of a ferromagentic material is %.f',mu_r);
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Example_a_16_8.sce
//Example_a_16_8 page no:786 clc; Zl=20 Z11=10; Z22=10; Z12=4; Z21=4; V1=20; Vs=20; Zl=20; I1=V1/(Z11-((Z12*Z21)/(Zl+Z22))); I2=-I1*Z21/(Zl+Z22); V2=-I2*20; Zin=V1/I1; disp(I1,"the current I1 is (in A)"); disp(I2,"the current I2 is (in A)"); disp(V2,"the voltage V2 is (in V)"); disp(Zin,"the input impedence is (in ohm)");
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215.sce
// problem 2.15 w=450000 y=5.5 w1=80*1000000 q=3 gm=(w*y)/(w1*tand(q)) p=12.5*1000 n=120 T=(p*60000)/(2*3.142*n) z=T/(w1*gm) theta=atand(z) disp(theta,"angle of heel in degree")
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clc; clear; function y=f(x) y=-0.1*(x^4)-0.15*(x^3)-0.5*(x^2)-0.25*(x)+1.2 endfunction x=0.5; h=input("Input h:") x1=x-h; x2=x+h; //forward difference method fdx1=(f(x2)-f(x))/h;//derivative at x et1=abs((fdx1-derivative(f,x))/derivative(f,x))*100; //backward difference method fdx2=(f(x)-f(x1))/h;//derivative at x et2=abs((fdx2-derivative(f,x))/derivative(f,x))*100; //central difference method fdx3=(f(x2)-f(x1))/(2*h);//derivative at x et3=abs((fdx3-derivative(f,x))/derivative(f,x))*100; disp(h,"For h=") disp(et1,"and percent error=",fdx1,"Derivative at x by forward difference method=") disp(et2,"and percent error=",fdx2,"Derivative at x by backward difference method=") disp(et3,"and percent error=",fdx3,"Derivative at x by central difference method=")
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clear; clc; // Illustration 6.1 // Page: 145 printf('Illustration 6.1 - Page: 145\n\n'); // solution //****Data****// // w = Gas flow rate per orifice w = 0.055/50;// [kg/s] L = 8*10^(-4);// [liquid flow rate, cubic m/s] d = 0.003;// [diameter of the orifice,m] viscocity_gas = 1.8*10^(-5);// [kg/m.s] //******// Re = 4*w/(%pi*d*viscocity_gas); Dp = 0.0071*Re^(-0.05);// [m] h = 3;// [height of vessel,m] P_atm = 101.3;// [kN/square m] Density_water = 1000;// [kg/cubic m] g = 9.81;// [m/s^2] Temp = 273+25;// [K] P_orifice = P_atm+(h*Density_water*g/1000);// [kN/square m] P_avg = P_atm+((h/2)*Density_water*g/1000);// [kN/square m] Density_gas = (29/22.41)*(273/Temp)*(P_avg/P_atm);// [kg/cubic m] D = 1;// [dia of vessel,m] Area = (%pi*D^2)/4;// [square m] Vg = 0.055/(Area*Density_gas);// [m/s] Vl = L/Area;// [m/s] sigma = 0.072;// [N/m] // From fig. 6.2 (Pg 143) abscissa = 0.0516;// [m/s] Vg_by_Vs = 0.11; Vs = Vg/Vg_by_Vs;// [m/s] deff('[y] = f6(shi_g)','y = Vs-(Vg/shi_g)+(Vl/(1-shi_g))'); shi_g = fsolve(0.5,f6); dp = ((Dp^3)*(P_orifice/P_avg))^(1/3);// [bubble diameter,m] // From eqn. 6.9 a = 6*shi_g/dp;// [specific interfacial area,square m] printf("The Specific Interfacial Area is %f square m/cubic m\n",a); // For diffsion of Cl2 in H20 Dl = 1.44*10^(-9);// [square m/s] viscocity_water = 8.937*10^(-4);// [kg/m.s] Reg = dp*Vs*Density_water/viscocity_water; Scl = viscocity_water/(Density_water*Dl); // From Eqn.6.11 Shl = 2+(0.0187*(Reg^0.779)*(Scl^0.546)*(dp*(g^(1/3))/(Dl^(2/3)))^0.116); // For dilute soln. of Cl2 in H20 c = 1000/18.02;// [kmol/cubic m] Fl = (c*Dl*Shl)/dp;// [kmol/square m.s] printf("Mass Transfer coeffecient is %f kmol/square m.s\n",Fl);
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clc(); clear; // To calculate the transition temperature Hc=5*10^3 //critical magnetic field in amp/m Ho=2*10^4; //critical field in amp/m T=6; //temp in K Tc=T/sqrt(1-(Hc/Ho)); printf("the transition temperature is %f K",Tc) //answer in the book is wrong
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expression: a^b^c postfix1: ;a;b;c;^;^ rebuilt1: a^(b^c) postfix2: ;a;b;c;^;^ rebuilt2: a^(b^c) same
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// Exa 6.3 clc; clear; close; // given data fc=2;//in KHz AF=2;//unitless // let C=0.01 uF C=0.01;//in uF R=(1/(2*%pi*fc*1000*C*10^-6))/1000;//in Kohm R=ceil(R); // Bias compensation Rbc //Rbc=R1*RF/(R1+RF) ohm disp("Bias compensation :R=R1*RF/(R1+RF)=Rdash/2 ohm"); //Rdash=R1=RF=2*R;//in ohm Rdash=2*R;//in ohm R1=2*R;//in ohm RF=2*R;//in ohm R1=RF;//in kohm disp("Component values are :"); disp(R1,"R1=RF in Kohm is ;"); disp(R,"R in Kohm is ;");
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//ques-16.26 //Calculating values of rate constants clc K=0.1;//equilibrium constant R_T=10^-5;//relaxation time (in s) //R_T = 1/(ka+kb) //K=ka/kb ka=1/(11*10^-5); kb=10*ka; printf("The value of ka is %d /s and kb is %d /s.",ka,kb);
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errcatch(-1,"stop");mode(2);//Caption:Find number of armature conductors in series per phase //Exa:13.6 ; ; p=10//Number of poles ph=3//Number of phases n=600//Speed of alternator(in r.p.m) sl=90//Number of slots Vl=6600//Line voltage(in volts) B=0.1//Flux per pole(in wb) cs=160//Coil span(in degrees) kb=0.9597//Distribution factor kp=0.9848//Pitch factor v_ph=Vl/sqrt(3) f=(p*n)/120 m=sl/(p*ph) T=2*v_ph/(4.44*kb*kp*B*f) disp(T,'Number of armature conductors in series per phase=') exit();
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errcatch(-1,"stop");mode(2);//Ex 6.7 ;; format('v',4); n=8;//no. of bits E=0.2;//%//maximum gain error Vref=5.1;//V V11=(100-E)*Vref/100;//V disp(V11,"Minimum output voltage(V)"); exit();
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// Example 5(b): power absorbed clc; clear; close; v=400;//V po=15;//kW nfx=1440;//rpm f=50;//Hz z2=0.4+%i*1.6;//ohm p=4;// x=120;//Hz ns=((x*f)/p);//rpm s=((ns-nfx)/ns);//slip ns1=(x*x)/p;//rpm nfl1=(1-s)*ns1;//rpm disp(nfl1,"full load speed is ,(rpm)=") sm=real(z2)/imag(z2);//slip disp(sm,"slip is,=") tfy=((po*10^3)/(2*%pi*(nfl1/60)));//N-m a=sm;// tm=((a^2+s^2)/(2*a*s))*tfy;//N-m disp(tm,"maximum torque is,(N-m)=")
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clc; n=400; //frequency in Hz v=300; //velocity in m/sec l=v/n; //calculating wavelength disp(l,"Wavelength in m = "); //displaying result
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clc; P=4; N=1440; f=50; r2=0.2; x2=1; E2=120; //mistake in Te_fl //for part a disp('For part a'); Ns=(120*f)/P; I2_st=120/(sqrt((r2*r2)+(x2*x2))); Rpf=(r2)/(sqrt((r2*r2)+(x2*x2))); Ws=(2*3.14*Ns)/60; Te_st=(3/Ws)*(I2_st)*(I2_st)*(r2/1); s_fl=(Ns-N)/Ns; I2_fl=(s_fl*E2)/(sqrt(r2*r2+(s_fl*x2*s_fl*x2))); Rpf_fl=(r2)/(sqrt(r2*r2+(s_fl*x2*s_fl*x2))); Te_fl=((3)*(I2_fl)*(I2_fl)*(r2))/(Ws*s_fl); RATIOst_fl=I2_st/I2_fl; RATIOtst_tfl=Te_st/Te_fl; mprintf('At starting \n the rotor current is %f amp \n Rotor power factor is %f \n Torque is %f rad/sec\n',I2_st,Rpf,Te_st); mprintf('At full load \n the rotor current is %f amp \n Rotor power factor is %f \n Torque is %f rad/sec\n',I2_fl,Rpf_fl,Te_fl); //for part b disp('For part b'); r2_n=r2+1; I2_stn=E2/(sqrt((r2_n*r2_n)+(x2*x2))); Rpf_stn=(r2_n)/(sqrt(((r2_n)*(r2_n))+((x2)*(x2)))); Te_stn=(3/Ws)*(I2_stn)*(I2_stn)*(r2_n/1); mprintf('At starting \n the rotor current is %f amp \n Rotor power factor is %f \n Torque is %f rad/sec\n',I2_stn,Rpf_stn,Te_stn);
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errcatch(-1,"stop");mode(2);// to find the longest pulse width // example 9-5 in page 261 ; //Given data Ri=10e+6;// input resistance in ohm Cc=0.1e-6;// coaxial cable capacitance in farad //calculation printf("pulse width=%.1f s",Ri*Cc/10);// here pulse width=tou/10 seconds //result //pulse width=0.1 s exit();
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clc; R1=220; R2=1500; Vo=1.25*(1+(R2/R1)); disp('V',Vo*1,"Vo=");//answer given in book is wrong
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//scilab 5.4.1 //Windows 7 operating system //chapter 13 Field-Effect Transistors clc clear ND=2*10^21//ND=donor concentration in m^-3 of an n-channel silicon JFET e=1.6*10^-19//e=charge of an electron E=12*8.854*10^-12//E=permittivity of the material where 12=dielectric constant of silicon(given) a=(4*10^-6)/2//2*a=channel width in metres and 2*a=4*10^-6 Vp=(e*ND*(a^2))/(2*E) format("v",5) disp("V",Vp,"The pinch-off voltage is =") VGS=-2//VGS=gate source voltage //Vp=VDsat-VGS where VDsat=saturation voltage VDsat=Vp+VGS format("v",5) disp("V",VDsat,"The saturation voltage is =")
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function T = euler(t, y, f, h, N) T = [t y] for i = 1 : N y = y + f(t, y) * h t = t + h T = [T; t y] end endfunction function T = taylor2(t, y, N, h, f, df) T = [t y] for i = 1 : N y = y + h * (f(t, y) + 0.5 * df(t, y) * h) t = t + h T = [T; t y] end endfunction function T = rungeKutta2(t, y, h, f, N) T = [t y] for i = 1 : N k1 = f(t, y) * h t = t + h k2 = f(t, y - k1) * h y = y + (k1 + k2) / 2 T = [T; t y] end endfunction function T = rungeKutta4(t, y, h, f, N) T = [t y] for i = 1 : N k1 = f(t, y) * h k2 = f(t + h/2, y + k1/2) * h k3 = f(t + h/2, y + k2/2) * h t = t + h k4 = f(t, y + k3) y = y + (k1 + 2 * (k2 + k3) + k4) / 6 T = [T; t y] end endfunction function X1 = jacobi(X, A, B, M, N) for i = 1 : M for j = 1 : N S = 0 for k = 1 : j - 1 S = S + A(j, k) * X(k) end for k = j + 1 : N S = S + A(j, k) * X(k) end X1(j) = (B(j) - S) / A(j, j) end end endfunction function X = seidel(X, A, B, M, N) for i = 1 : M for j = 1 : N S = 0 for k = 1 : j - 1 S = S + A(j, k) * X(k) end for k = j + 1 : N S = S + A(j, k) * X(k) end X(j) = (B(j) - S) / A(j, j) end end endfunction function N = cantidadDeIteraciones(t0, tf, h) N = (tf - t0) / h endfunction function h = cantidadDePasos(t0, tf, N) h = (tf - t0) / N endfunction
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% Test file for Sparse Matrices and the Linear Algebra Package for % Sparse Matrices. % Author: Stephen Scowcroft. Date: June 1995. % Firstly, the matrices need to be created. % This is the standard way to create a sparse matrix. % Create a sparse matrix. sparse mat1(5,5); %Fill the sparse matrix with data mat1(1,1):=2; mat1(2,2):=4; mat1(3,3):=6; mat1(4,4):=8; mat1(5,5):=10; sparse mat4(5,5); mat4(1,1):=x; mat4(2,2):=x; mat4(3,3):=x; mat4(4,4):=x; mat4(5,5):=x; % A small function to automatically fill a sparse matrix with data. procedure makematsp(nam,row); begin; sparse nam(row,row); for i := 1:row do <<nam(i,i):=i>> end; clear mat2; makematsp(mat2,100); % Matrices created in the standard Matrix way. zz1:=mat((1,2),(3,4)); zz2:=mat((x,x),(x,x)); zz3:=mat((i+1,i+2,i+3),(4,5,2),(1,i,0)); % I have taken advantage of the Linear Algebra Package (Matt Rebbeck) % in order to create some Sparse Matrices. mat3:=diagonal(zz1,zz1,zz1); mat5:=band_matrix({1,3,1},100)$ mat6:=diagonal(zz3,zz3); mat7:=band_matrix({a,b,c},4); % These are then "translated" into the Sparse operator using the % function transmat. % This is a destructive function in the sense that the matrices are no % longer of type 'matrix but are now 'sparse. transmat mat3; transmat mat5; transmat mat6; transmat mat7; poly := x^7+x^5+4*x^4+5*x^3+12; poly1 := x^2+x*y^3+x*y*z^3+y*x+2+y*3; % Firstly some basic matrix operations. % These are the same as the present matrix package mat1^-1; mat4^-1; mat2 + mat5$ mat2 - mat5$ mat1-mat1; mat4 + mat1; mat4 * mat1; 2*mat1 + (3*mat4 + mat1); % It is also possible to combine both 'matrix and 'sparse type matrices % in these operations. pp:=band_matrix({1,3,1},100)$ mat5*pp; mat5^2$ det(mat1); det(mat4); trace(mat1); trace(mat4); rank(mat1); rank mat5; tp(mat3); spmateigen(mat3,eta); % Next, tests for the Linear Algebra Package for Sparse Matrices. %Basic matrix manipulations. spadd_columns(mat1,1,2,5*y); spadd_rows(mat1,1,2,x); spadd_to_columns(mat1,3,1000); spadd_to_columns(mat5,{1,2,3},y)$ spadd_to_rows(mat1,2,1000); spadd_to_rows(mat5,{1,2,3},x)$ spaugment_columns(mat3,2); spaugment_columns(mat1,{1,2,5}); spstack_rows(mat1,3); spstack_rows(mat1,{1,3,5}); spchar_poly(mat1,x); spcol_dim(mat2); sprow_dim(mat1); spcopy_into(mat7,mat1,2,2); spcopy_into(mat7,mat1,5,5); spcopy_into(zz1,mat1,1,1); spdiagonal(3); % spdiagonal can take both a list of arguments or just the arguments. spdiagonal({mat2,mat5})$ spdiagonal(mat2,mat5)$ % spdiagonal can also take a mixture of 'sparse and 'matrix types. spdiagonal(zz1,mat4,zz1); spextend(mat1,3,2,x); spfind_companion(mat5,x); spget_columns(mat1,1); spget_columns(mat1,{1,2}); spget_rows(mat1,3); spget_rows(mat1,{1,3}); sphermitian_tp(mat6); % matrix_augment and matrix_stack can take both a list of arguments % or just the arguments. spmatrix_augment({mat1,mat1}); spmatrix_augment(mat5,mat2,mat5)$ spmatrix_stack(mat2,mat2)$ spminor(mat1,2,3); spmult_columns(mat1,3,y); spmult_columns(mat2,{2,3,4},100)$ spmult_rows(mat2,2,x); spmult_rows(mat1,{1,3,5},10); sppivot(mat3,3,3); sprows_pivot(mat3,1,1,{2,4}); spremove_columns(mat1,3); spremove_columns(mat3,{2,3,4}); spremove_rows(mat1,2); spremove_rows(mat2,{1,3})$ spremove_rows(mat1,{1,2,3,4,5}); spswap_cols(mat1,2,4); spswap_rows(mat5,1,2)$ spswap_entries(mat1,{1,1},{5,5}); % Constructors - functions that create matrices. spband_matrix(x,500)$ spband_matrix({x,y,z},6000)$ spblock_matrix(1,2,{mat1,mat1}); spblock_matrix(2,3,{mat3,mat6,mat3,mat6,mat3,mat6}); spchar_matrix(mat3,x); cfmat := spcoeff_matrix({y+4*+-5*w=10,y-z=20,y+4+3*z,w+x+50}); first cfmat * second cfmat; third cfmat; spcompanion(poly,x); sphessian(poly1,{w,x,y,z}); spjacobian({x^4,x*y^2,x*y*z^3},{w,x,y,z}); spjordan_block(x,500)$ spmake_identity(1000)$ on rounded; % makes output easier to read. ch := spcholesky(mat1); tp first ch - second ch; tmp := first ch * second ch; tmp - mat1; off rounded; % The gram schmidt functions takes a list of vectors. % These vectors are matrices of type 'sparse with column dimension 1. %Create the "vectors". sparse a(4,1); sparse b(4,1); sparse c(4,1); sparse d(4,1); %Fill the "vectors" with data. a(1,1):=1; b(1,1):=1; b(2,1):=1; c(1,1):=1; c(2,1):=1; c(3,1):=1; d(1,1):=1; d(2,1):=1; d(3,1):=1; d(4,1):=1; spgram_schmidt({{a},{b},{c},{d}}); on rounded; % again, makes large quotients a bit more readable. % The algorithm used for splu_decom sometimes swaps the rows of the % input matrix so that (given matrix A, splu_decom(A) = {L,U,vec}), % we find L*U does not equal A but a row equivalent of it. The call % spconvert(A,vec) will return this row equivalent % (ie: L*U = convert(A,vec)). lu := splu_decom(mat5)$ tmp := first lu * second lu$ tmp1 := spconvert(mat5,third lu); tmp - tmp1; % and the complex case.. on complex; lu1 := splu_decom(mat6); mat6; tmp := first lu1 * second lu1; tmp1 := spconvert(mat6,third lu1); tmp - tmp1; off complex; mat3inv := sppseudo_inverse(mat3); mat3 * mat3inv; % Predicates. matrixp(mat1); matrixp(poly); squarep(mat2); squarep(mat3); symmetricp(mat1); symmetricp(mat3); sparsematp(mat1); sparsematp(poly); off rounded; end;
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clear; n=input("Enter the number of data points: "); for i=1:n x(i)=input("Enter x:"); y(i)=input("Enter y:"); end h=x(2)-x(1);//interval //Calculation of first order differences for i=1:n-1 dy(i,1)=y(i+1)-y(i); printf("First difference: %d\n",dy(i,1)); end //Calculation of second order differences for j=2:n-1 for i=1:n-j dy(i,j)=dy(i+1,j-1)-dy(i,j-1); printf("%d Difference: %d\n",j,dy(i,j)); end end //p value p=(%s-x(1))/h; disp(p); //apply to formula yval=y(1); pnxt=p; disp("Main Result"); for i=1:n-1 nxterm=pnxt*dy(1,i)/factorial(i); yval=yval+nxterm; pnxt=pnxt*(p-i); end disp(yval);
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PL/SQL Developer Test script 3.0 5 begin -- Call the procedure personas_por_ocupacion(pocupacion => :pocupacion, p_recordset => :p_recordset); end; 2 pocupacion 1 Mante. electromec. 5 p_recordset 1 <Cursor> 116 0
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//chapter 6 example 9// clc clear //electron transit time=tf,bandwidth=Bm,photoconductive gain=G,// tf=8*(10^-12);//in seconds// G=60; Bm=(1/(2*%pi*tf*G))*(10^-8); printf("\n maximum 3dB bandwidth=%f MHz\n",Bm)
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*Testcase Tape Data Chaining # Prepare test environment mainsize 1 numcpu 1 sysclear archlvl z/Arch detach 580 attach 580 3490 "$(testpath)/tape.aws" loadcore "$(testpath)/tape.core" ## t+ # (trace instructions) t+580 # (trace device CCWs) # Run the test... runtest 0.25 # (plenty of time) # Clean up afterwards detach 580 # (no longer needed) *Compare r 800.8 *Want "SCSW fields" 00001008 0C403000 *Done
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// Create new PWM block b = mdaqBlock(); b.name = "ZVSFB"; b.param_name = ["PWM period"; "Default duty"] b.param_size = [ 1 1 ]; b.param_def_val(1) = 1000; b.param_def_val(2) = 50; b.in = [4 1 1 1 1 1]; b.out = []; mdaqBlockAdd(b) copyfile(pathconvert(mdaqToolboxPath() + "examples/pwm_zvsfb/user_blocks/", %F), pathconvert(mdaqToolboxPath() + "/macros/user_blocks", %f)); copyfile(pathconvert(mdaqToolboxPath() + "examples/pwm_zvsfb/userlib/", %F), pathconvert(mdaqToolboxPath() + "/src/c/userlib/", %F)); deletefile(mdaqToolboxPath() + "/macros/user_blocks/mdaq_zvsfb.bin"); deletefile(mdaqToolboxPath() + "/macros/user_blocks/mdaq_zvsfb_sim.bin"); deletefile(mdaqToolboxPath() + "/src/c/userlib/mdaq_pwm_zvsfb.o"); deletefile(mdaqToolboxPath() + "/src/c/userlib/mdaq_zvsfb.o"); mdaqBlockBuild(%t, %f) mprintf("Restart Scilab to use new Xcos block");
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/* * Checking accelerometer postion and NMP zero in load factor response */ clear exec('eqm/eqm_body.sci'); exec('eqm/params_f16.sci'); exec('eqm/stability_deriv.sci'); exec('eqm/stability_deriv_body.sci'); params = load_f16(); exec('controls/nz/trim_v502_alt0_xcg35_level.sce'); disp('Building state-space...'); controls_trim = controls; X0_lin_body = X0_body([ 1 //u_ftps 3 //w_ftps 5 //theta_rad 8 //q_rps ]); U0 = [ controls_trim.throttle controls_trim.elev_deg]; rad2deg = 180/%pi; /* Initializing state in body axis */ X0_body = X0; X0_body(1) = params.VT_ftps*cos(X0(2))*cos(X0(3)); X0_body(2) = params.VT_ftps*sin(X0(3)); X0_body(3) = params.VT_ftps*sin(X0(2))*cos(X0(3)); controls_trim = controls; function y = elev_step(t) if(t<0.5) then y = controls_trim.elev_deg; elseif (t>=0.5 && t<=0.53) y = controls_trim.elev_deg - 1/0.03*(t-0.5); else y = controls_trim.elev_deg-1; end endfunction function xd = f16_model(t,X) [xd] = eqm(t, X, controls, params); endfunction function xd = f16_model_body(t,X) [xd] = eqm_body(t, X, controls, params); endfunction t = 0:0.001:3; controls.elev_deg = elev_step; y_body = ode(X0_body, t(1), t, f16_model_body); ss_body = syslin("c", A_body, B_body, C_body, D_body); disp('Simulating linear model...'); t = 0:0.001:3; function u = elev_step_lin(t) u = elev_step(t) - controls_trim.elev_deg; endfunction [y_lin_body,x_lin_body] = csim(elev_step_lin, t, ss_body(:,2)); disp('Comparing body and stability axis non-linear simulations'); f2 = scf(2);xgrid;xlabel('time(s)');ylabel('elevator (deg)'); title('Elevator input') plot(t, elev_step); f3 = scf(3);xgrid;xlabel('time(s)');ylabel('theta(deg)'); title('Theta linear x non-linear') plot(t, y_body(5,:)*rad2deg, t, (x_lin_body(3,:) + X0_body(5))*rad2deg); // theta plot legend('Non-linear','Linear'); f4 = scf(4);xgrid;xlabel('time(s)');ylabel('pitch rate(deg/s)'); title('Pitch rate linear x non-linear') plot(t, y_body(8,:)*rad2deg, t, (x_lin_body(4,:) + X0_body(8))*rad2deg); // pitch rate plot legend('Non-linear','Linear');
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//z=3 & z=-3 (PLANE) deff('z=f1(x,y)','z=3'); fplot3d(x,y,f1) deff('z=f2(x,y)','z=-3'); fplot3d(x,y,f2)
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// Example 7.2;//power radiated by LED clc; clear; close; e=1.6*10^-19;//Electronic charge ht=6.62*10^-34;//plank Constt C=3*10^8;//sPPED OF LIGHT IN M/S h=670*10^-9;//wavelength in meter i=50;//injected current in milli ampere nint=0.03;//inernal quantume efficiency Pint= (nint*((ht*C*i*10^-3)/(e*h)))*10^2;//internal power level in milli watt disp(Pint,"internal power level in milli watt")
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// Aluno: Pedro Fernandes // Hebb rules algorithms. Logic Bipolar. // 17/08/2020 clc; // clean comand line clear; // remove variable // Input Table s = [ 1 1 -1 1 1 -1 -1 -1]; // Output t = [[-1 -1 -1 -1] // bits 0000 [-1 -1 -1 1] // bits 0001 [-1 -1 1 -1] // bits 0010 [-1 -1 1 1] // bits 0011 [-1 1 -1 -1] // bits 0100 [-1 1 -1 1] // bits 0101 [-1 1 1 -1] // bits 0110 [-1 1 1 1] // bits 0111 [ 1 -1 -1 -1] // bits 1000 [ 1 -1 -1 1] // bits 1001 [ 1 -1 1 -1] // bits 1010 [ 1 -1 1 1] // bits 1011 [ 1 1 -1 -1] // bits 1100 [ 1 1 -1 1] // bits 1101 [ 1 1 1 -1] // bits 1110 [ 1 1 1 1]] // bits 1111 // train // initial prices results = []; bl = []; liniar =0 for bit=1:16 wb = [0,0]; // resetando valores pesos w1 e w2 b = 0;// resetando valores unitario valor bn = 0; // resetando valores wb = [0,0]; // resetando valores for inp=1:4 x(inp,:)=s(inp,:); //get linha de sources y=t(bit,inp); // atribuindo valors de sainda a y wn(1)=wb(1)+x(inp,1)*y; // calculando pesos input 1 wn(2)=wb(2)+x(inp,2)*y; // calculando pesos input 2 bn = b + y; // atribuindo no valor a base wb = wn; // novo valore pesos base b = bn; // atualizando valor de base end bl = lstcat(bl,bn); //amazenado os valores da entrada base results=lstcat(results,wn); // amazenando os pesos end // Testando Resultados for bit=2:17 wx = results(bit); // get valores dos pesos para um das target bx = bl(bit); // get base valor para um dos target mprintf('\nTarget binary(%d): Pesos: w1=%d w2=%d\n--------------\n',bit-2,wx(1),wx(2)); for inp = 1:4 yl = wx(1)*x(inp,1)+wx(2)*x(inp,2)+bx; // calculando y if yl >= liniar // verificado y com linear y = 1; else y = -1; end // print resultado formatado if x(inp,1) == -1 mprintf('%d',x(inp,1)); else mprintf(' %d',x(inp,1)); end if x(inp,2) == -1 mprintf('&%d',x(inp,2)); else mprintf('& %d',x(inp,2)); end if y == -1 mprintf('&%d\\\\\n',y); else mprintf('& %d\\\\\n',y); end end end
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clear clc exec("objectivefn.sci") exec("pathrelinking.sci") exec("removecrossings.sci") exec("pso-tsp.sci") //main //data = fscanfMat("ch130.tsp"); //best possible solution 6110 data = fscanfMat("eil51.tsp"); //best possible solution 426 particles = 20 iterations = 50 x = zeros(1, 10) for i=1:10 x(i) = run(data, particles, iterations) end disp(stdev(x))
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clear; clc; printf("\t\t\tExample Number 4.1\n\n\n"); // steel ball cooling in air // illustration4.1 // solution h = 10;// [W/square meter per degree celsius] convectional heat transfer coefficient k = 35;// [W/m per degree celsius] heat transfer coefficient c = 460;// [kJ/kg] r = 0.05/2;// [m] diameter of ball Tb = 450;// [degree celsius] ball temperature Te = 100;// [degree celsius] environment temperature A = 4*%pi*r^(2); V = 4*%pi*r^(3)/3; // We anticipate that the lumped capacity method will apply because of the low value of h and high value of k // we check by using equation (4-6) K = h*(V/A)/k; // since the value of K is less than 0.1 so we will use equation (4-5) T = 150;// [degree celsius] attained temperature by the ball rho = 7800;// [kg/cubic meter] density of the ball a = (h*A)/(rho*c*V); t = log((T-Te)/(Tb-Te))/(-a);// [s] time required to attain the temperature of 150 degree celsius printf("time required to attain the temperature of 150 by degree celsius by the ball is %f h",t/3600);
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// Given:- // Part(a) v = 0.4646 // specific volume in in m^3/kg M = 18.02 // molar mass of water in kg/kmol // At the specified state, the temperature is 513 K and the specific volume on a molar basis is vbar = v*M // in m^3/kmol // From Table A-24 a = 142.59 // (m^3/kmol)^2 * K^.5 b = 0.0211 // in m^3/kmol Rbar = 8314.0 // universal gas constant in N.m/kmol.K T = 513.0 // in kelvin delpbydelT = (Rbar/(vbar-b) + a/(2*vbar*(vbar+b)*T**1.5)*10**5)/10**3 // in kj/(m^3*K) // By The Maxwell relation delsbydelv = delpbydelT // Result printf( ' The value of delpbydelT in kj/(m^3*K) is: %.2f',delpbydelT); // Part(b) // A value for (dels/delv)T can be estimated using a graphical approach with steam table data, as follows: At 240C, Table A-4 provides the values for specific entropy s and specific volume v tabulated below T = 240.0 // in degree celcius // At p =1, 1.5, 3, 5, 7, 10 bar respectively y = [7.994, 7.805, 7.477, 7.230, 7.064, 6.882] x = [2.359, 1.570, 0.781, 0.4646, 0.3292, 0.2275] plot(x,y) xlabel("Specific volume") ylabel("Specific entropy") // The pressure at the desired state is 5 bar.The corresponding slope is delsbydelv = 1 // in kj/m^3.K printf( ' From the data of the table,delsbydelv = %.2f',delsbydelv);
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// Example 10.16, page no-278 clear clc e=1.6*10^-19//C m=9.1*10^-31//kg mm=0.31*m//kg h=6.626*10^-34 k=1.38*10^-23 eg=1.1*e T=300//K ni=2*(2*%pi*mm*k*T/(h^(2)))^(1.5) ni=ni*%e^(-eg/(2*k*T)) printf("The intrinsic concentration of Si at %d K is %.4f * 10^15 electrons per m^3",T,ni*10^-15)
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clc clear //Input data m=(9.1*10^-31)//Mass of the electron in kg v=(3*10^8)//Velocity of light in m/s c=(1.6*10^-19)//Charge of the electron in coloumbs //Calculations Re=(m*v^2)/(c*10^6)//Rest energy in MeV E=(Re/sqrt(1-0.9^2))//Total energy in MeV //Output printf('Rest energy of the electron is %3.3f MeV \n Total energy is %3.4f MeV',Re,E)
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// Scilab code Ex2.12: Pg.90 (2008) clc; clear; E_1 = 5; // Energy of first photon, MeV E_2 = 2; // Energy of second photon, MeV p_1 = 5; // Momentum of first photon, MeV/c p_2 = -2; // Momentum of second photon, MeV/c E = E_1 + E_2; // Total energy of the system, MeV p = p_1 + p_2; // Total momentum of the system, MeV/c E = sqrt((E^2)-(p^2)); // Rest energy of the system, MeV printf("\nThe rest energy of the system of photons = %3.1f MeV",E); // Result // The rest energy of the system of photons = 6.3 MeV
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//at t=0- iL=4 v=0 disp(v,iL) //at t=0+ iL=4 v=-4*20 disp(v,iL)
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// Data Reconciliation Benchmark Problems From Lietrature Review // Author: Edson Cordeiro do Valle // Contact - edsoncv@{gmail.com}{vrtech.com.br} // Skype: edson.cv //Martins, Márcio A.F., Carolina A. Amaro, Leonardo S. Souza, Ricardo A. Kalid, and Asher Kiperstok. 2010. //New objective function for data reconciliation in water balance from industrial processes. //Journal of Cleaner Production (March): 1-6. doi:10.1016/j.jclepro.2010.03.014. http://linkinghub.elsevier.com/retrieve/pii/S0959652610001149. //Bibtex Citation //@article{Martins2010, //author = {Martins, M\'{a}rcio A.F. and Amaro, Carolina A. and Souza, Leonardo S. and Kalid, Ricardo A. and Kiperstok, Asher}, //doi = {10.1016/j.jclepro.2010.03.014}, //file = {::}, //issn = {09596526}, //journal = {Journal of Cleaner Production}, //month = mar, //pages = {1--6}, //title = {{New objective function for data reconciliation in water balance from industrial processes}}, //url = {http://linkinghub.elsevier.com/retrieve/pii/S0959652610001149}, //year = {2010} //} // 13 Streams // 8 Equipments clear xm var jac nc nv i1 i2 nnzeros sparse_dg sparse_dh lower upper var_lin_type constr_lin_type constr_lhs constr_rhs // the measures xm =[28.06 3.06 5.28 8.89 11.39 3.89 4.17 2.78 5.83 4.44 3.89 15.0 13.33 ]; //the variance proposed by the original author with some modifications var = [0.075618 0.002498 0.029749 0.021084 0.138439 0.016148 0.018556 0.002062 0.009067 0.005259 0.004037 0.021609 0.017065 ]; //the variance proposed by this work //var = ones(13,1); // gross error gerror = zeros(length(xm),1); // to setup gross errors, select the stream and magnitude as the line bellow //gerror(2) = 9*sqrt(var(2)); xm = xm + gerror; //The jacobian of the constraints // 1 2 3 4 5 6 7 8 9 10 11 12 13 jac = [ 1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 -1 -1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 -1]; // 1 2 3 4 5 6 7 8 9 10 11 12 13 //observability/redundancy tests umeas_P10 = []; [red_P10, just_measured_P10, observ_P10, non_obs_P10, spec_cand_P10] = qrlinclass(jac,umeas_P10) // reconcile with all measured. To reconcile with only redundant variables, uncomment the "red" assignments measured_P10 = setdiff([1:length(xm)], umeas_P10); red = measured_P10;// // to reconcile with all variables, comment the line above and uncomment bellow //red = [1:length(xm)]; // to run robust reconciliation,, one must choose between the folowing objective functions to set up the functions path and function parameters: //WLS = 0 // Absolute sum of squares = 1 //Cauchy = 2 //Contamined Normal = 3 //Fair = 4 //Hampel = 5 //Logistic = 6 //Lorenztian = 7 //Quasi Weighted = 8 // run the configuration functions with the desired objective function type obj_function_type = 0; exec ../functions/setup_DR.sce // to run robust reconciliation, it is also necessary to choose the function to return the problem structure if obj_function_type > 0 then [nc_eq, n_non_lin_eq, nv, nnzjac_ineq, nnzjac_eq, nnz_hess, sparse_dg, sparse_dh, lower, upper, var_lin_type, constr_lin_type, constr_lhs, constr_rhs] = robust_structure(jac, 0, xm, objfun, res_eq, res_ineq); else // for WLS, only the line bellow must be choosen and comment the 3 lines above [nc, nv, i1, i2, nnzeros, sparse_dg, sparse_dh, lower, upper, var_lin_type, constr_lin_type, constr_lhs, constr_rhs] = wls_structure(jac); end params = init_param(); // We use the given Hessian params = add_param(params,"hessian_approximation","exact"); params = add_param(params,"derivative_test","second-order"); params = add_param(params,"tol",1e-8); params = add_param(params,"acceptable_tol",1e-8); params = add_param(params,"mu_strategy","adaptive"); params = add_param(params,"journal_level",5); [x_sol, f_sol, extra] = ipopt(xm, objfun, gradf, confun, dg, sparse_dg, dh, sparse_dh, var_lin_type, constr_lin_type, constr_rhs, constr_lhs, lower, upper, params); mprintf("\n\nSolution: , x\n"); for i = 1 : nv mprintf("x[%d] = %e\n", i, x_sol(i)); end mprintf("\n\nObjective value at optimal point\n"); mprintf("f(x*) = %e\n", f_sol);
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// Example 10_4 clc;funcprot(0); // Given data m=1.00;// kg T_0=20.0;// °C p_0=0.101;// MPa T_s=130.0+273;// K x_1=0.00;// The quality of steam at state 1 T_1=120.0;// °C x_2=0.500;// The quality of steam at state 1 // Calculation // State 1 x_1=0;// The quality of steam at state 1 T_1=120.0+273;// K v_f=0.001060;// m^3/kg v_1=v_f;// m^3/kg u_f=503.5;// kJ/kg u_1=u_f;// kJ/kg s_f=1.5280;// kJ/kg.K s_1=s_f;// kJ/kg.K // State 2 x_2=0.500;// The quality of steam at state 2 p_sat=198.5;// kN/m^2 p_1=p_sat;// kN/m^2 p_2=p_1;// kN/m^2 v_2=0.44648;// m^3/kg u_2=1516.4;// kJ/kg s_2=4.3292;// kJ/kg.K // Ground state T_0=20.0+273;// K p_0=0.101;// MPa a_2minusa_1=(u_2-u_1)+(p_0*10^3*(v_2-v_1))-(T_0*(s_2-s_1));// kJ/kg W_12=m*p_2*(v_2-v_1);// kJ Q_12=(m*(u_2-u_1))+W_12;// kJ I_12=((1-(T_0/T_s))*Q_12)-W_12+(p_0*10^3*(v_2-v_1));// kJ printf("\nThe irreversibility of the process,I_12=%2.1f kJ",I_12) // The answer provided in the textbook is wrong
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function pkgGetPaths(mask,titl,multifiles) if ~exists('mask') then mask = ['*.sce','*.txt','*.xml','*.sci'] elseif mask =='%dir' paths = uigetdir(home,titl) else paths = matrix(uigetfile(mask,home,titl,multifiles),-1,1) end tag = gcbo.user_data ui = pkgFindObj(tag) ui.String = paths endfunction
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clear; // //A=[1, 0; 0, 1; 1, 1] //User input rows = 3; cols = 2; A = zeros(rows,cols); disp("Inputs to all matrices to be sequential left to right, top to bottom"); disp("Inputs to A begin"); for i = 1:rows for j = 1:cols A(i,j) = input("value for A:") end end //b=[1; 1; 0] //User input b = zeros(rows,1); disp("Inputs for B begin"); for i = 1:rows b(i) = input("Value for B:") end disp(A, 'A='); disp(b, 'b=') x=(A'*A)\(A'*b); disp(x, 'x='); C=x(1,1); D=x(2,1); disp(C, 'C='); disp(D, 'D='); disp('The line of best fit is b=C+Dt');
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clc // Limpa o console clear // Apaga as variáveis do "navegador de variáveis" xdel(winsid()) // Apaga as janelas gráficas abertas // // Taxa de amostragem ts = 1000 // [Hz] // // Tempo discreto t = 0:1/ts:0.1 // [s] // // Número de amostras N = length(t) // // Frequências associadas: // A resposta da FFT é simétrica deve-se exibir // apenas a primeira metade dos pontos (N/2) freq_vec = ts*(0:(N/2))/N // [Hz] freq_n = length(freq_vec) // Número de frequências a serem exibidas // // f(t) ft = 10*sin(2*%pi*50*t)+5*sin(2*%pi*200*t) // // Aplicando a transformada de Fourier no sinal f(t) Fw = fft(ft) // Aplicando a função abs() (módulo) e eliminando metade do sinal Fw = abs(Fw(1:freq_n)) // Corrigindo a amplitude do sinal no domínio da frequência Fw = 2*Fw/N; // // Resultados // Sinal no domínio do tempo - f(t) scf() plot(t, ft, 'LineWidth', 2) xlabel('Tempo (s)') ylabel('Amplitude') xgrid() // Sinal no domínio da frequência - F(w) scf() plot(freq_vec, Fw, 'LineWidth', 2) xlabel('Frequência (Hz)') ylabel('Amplitude') mtlb_axis([0 500 0 max(Fw)]) xgrid()
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function M=%hm_conj(M) // Copyright INRIA M('entries')=conj(M('entries'))
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//Example5.33 // To find Slew rate and closed loop gain of an op-amp clc; clear; close; fu = 1*10^6 ; // Hz // unity gain bandwidth fmax = 5*10^3 ; // KHz // full power bandwidth F3db = 12*10^3 ; // Hz // small signal bandwidth Vp = 10 ; // V // peak volt // the full power bandwidth of an op-amp // fmax=FPBW = (Slew rate/2*3.14*Vp); Slewrate = 2*3.14*Vp*fmax; Slewrate = Slewrate*(10^-6); // *10^-6 because Slewrate is V/u disp('the Slew rate of an op-amp is = '+string(Slewrate)+' V/u sec '); // // the 3-db frequency or small signal band width //f3db = (f/ACL); //the closed loop gain ACL ACL = fu/F3db ; disp('The closed loop gain ACL is = '+string(ACL)+' ');
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// FUNDAMENTALS OF ELECTICAL MACHINES // M.A.SALAM // NAROSA PUBLISHING HOUSE // SECOND EDITION // Chapter 3 : TRANSFORMER AND PER UNIT SYSTEM // Example : 3.14 clc;clear; // clears the console and command history // Given data E_1 = 500 // secondary induced voltages in V E_2 = 450 // secondary induced voltages in V kVA_1 = 100 // kVA ratings of transformer kVA_2 = 200 // kVA ratings of transformer Z_1 = 0.05 // impedance of transformer Z_2 = 0.08 // impedance of transformer // caclulations Z1 =Z_1*E_1/(kVA_1*10^3/E_1) // actual impedance of 1st transformer in ohm Z2 = Z_2*E_2/(kVA_1*10^3/E_2) // actual impedance of 2nd transformer in ohm Z = %i*(Z1+Z2) I_c = (E_1-E_2)/(Z) // value of the circulating current // display the result disp("Example 3.14 solution"); printf(" \n Value of the circulating current \n I_c = %.3f<%.f A \n", abs(I_c),atand(imag(I_c),real(I_c)));
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4_3a.sce
clc //initialisation of variables h1=2801 //kj/kg h3=867.5 //kj/kg h4=1087 //kj/kg ieff=0.50 //isentropic efficiency of compression wt=903.8 //kj/kg feff=0.75 //furnace efficiency ieeff=0.85//isentropic expansion efficiency //CALCULATIONS hx=((h4-h3)/0.5)+867.5 wr=hx-h3 atu=ieeff*wt hs=h1-hx nwo=atu-wr eff=nwo/hs oeff=eff*feff wrt=nwo/atu ssc=3600/nwo hr=3600/oeff //RESULTS printf('steam and heat rates are %2fkg/kwh and %2fkj/kwh',ssc,hr)
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clc //Intitalisation of variables clear dH= 12300 //cal T= 25 //C dS= -60.1 //cal deg^-1 mole^-1 //CALCULATIONS dF= dH-dS*(273+T) //RESULTS printf ('Standard free energy of formation = %.f cal mole^-1 ',dF-10)
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// Exa 7.29 clc; clear; close; // Given data f= 500;// in kHz f=f*10^3;// in Hz C=120;// in pF C=C*10^-12;// in F R= 5;// in ohm r=0.02;// resistance used across the oscillatory circuit in ohm omega= 2*%pi*f;// in radians/sec Q_True= 1/(omega*C*R); Q_indicated= 1/(omega*C*(R+r)); PerError= (Q_True-Q_indicated)*100/Q_True;// in % disp(PerError,"Percentage Error is ")
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clc; clear; xx = [0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00] yy = [2.26 3.80 4.43 5.91 6.18 7.26 8.15 9.14 10.87 11.58 12.55] clf(); set(gca(),"auto_scale", "on"); set(gca(),"data_bounds", [-1,-1;7,14]); title("Dados"); xlabel("X"); ylabel("Y"); dxa=gda(); dxa.y_location="origin"; dxa.x_location="origin"; plot(xx,yy,'bd'); wa = 0.5-rand(1,1,"uniform"); ba = 0.5-rand(); teta = 0; alfa = 0.01; nc=50; cc=0; mprintf("Train\n"); while cc<=nc erroq=0; cc=cc+1 for inp=1:11 yl=wa*xx(inp)+ba; yc=yl; erroq=erroq+(yy(inp)-yc)^2; wn=wa+alfa*(yy(inp)-yc)*xx(inp); bn=ba+alfa*(yy(inp)-yc); wa=wn; ba=bn; end end mprintf("y=%fx+%f", wn, bn); for abc=0:0.1:6 ord = abc*wn+bn; plot(abc,ord,'g.'); end
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//minimum distance between two antennas //given clc Da=5//metre f=5d+9//hertz v=3d+8//m/s lemda=v/f//metre r=2*(Da^2)/lemda//metre r=round(r*100)/100///rounding off decimals disp(r,'the minimum distance required between two antennas in metre')//metre
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clc m_O2=1; //kg m_H2=1; //kg p=1*10^5; //Pa T_O2=450; //K T_H2=450; //K T0=290; //K R0=8.314; M_O2=32; M_H2=2; R_O2=R0/M_O2; v_O2=m_O2*R_O2*T_O2/p; R_H2=R0/M_H2; v_H2=m_H2*R_H2*T_H2/p; v_f=v_O2 + v_H2; //total volume after mixing dS_O2=R_O2*log(v_f/v_O2); dS_H2=R_H2*log(v_f/v_H2); dS_net=dS_O2 + dS_H2; //Let E be the loss in availability E=T0*dS_net; disp("Loss in availability=") disp(E) disp("kJ")
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function [w0,l]=specfact(a,b,c,d) r=d+d',w0=sqrt(d), p=ricc(a-b/r*c,b/r*b',-c'/r*c,'cont') l=w0\(c+b'*p)
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clc; funcprot(0); // Initialization of Variable B=741.0;//airbase in m f=152.4;//focal length in mm pa=94.32;//in mm ha=325;//elevation in mm //calculation H=ha+B*f/pa; disp(H,"height in m") clear()
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// sum 3-25 clc; clear; P=2*10^6; N=200; w=2*%pi*N/60; Tm=P/w; W=5*10^3*9.81; l=1800; Mmax=W*l/4; Tmax=1.8*Tm*10^3; Me=(Mmax+sqrt(Mmax^2+Tmax^2))/2; Te=sqrt(Mmax^2+Tmax^2); sig=60; Ts=40; d1=(32*Me/(%pi*sig))^(1/3); d2=(16*Te/(%pi*Ts))^(1/3); // printing data in scilab o/p window printf("d is %0.1f mm ",d2);
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//***************************** WTA ************************************ if (blk_name.entries(bl) =='wta') then addvmm = %t; mputl("#WTA",fd_w); for ss=1:scs_m.objs(bl).model.ipar(1) mputl(".subckt wta in[0]=net"+string(blk(blk_objs(bl),2))+"_"+string(ss)+ " in[1]=net"+string(blk(blk_objs(bl),3))+"_"+string(ss)+" out[0]=net"+ string(blk(blk_objs(bl),2+numofip))+"_" + string(ss)+" #wta_fg =0",fd_w); mputl(" ",fd_w); plcvpr = %t; //need a better way to handle the plcloc if grep(plcloc,'10 1 0')>0 then plcloc=[plcloc;'net'+string(blk(blk_objs(bl),2+numofip))+'_'+ string(ss),'10 '+string(ss+1)+' 0']; else plcloc=[plcloc;'net'+string(blk(blk_objs(bl),2+numofip))+'_'+ string(ss),'10 '+string(ss)+' 0']; end // disp(plcloc) end end
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// from the nyquist plot N=-2; // no of encirclements P=0; // given Z=P-N printf("Since Z=2 therefore two roots of the characteristic equation lies in the right half of s-plane,hence the system is unstable")
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// Scilab Code Ex16.3 : Page-821 (2011) clc; clear; p = 3; q = 4; r = %inf; // Coefficients of intercepts along three axes p_inv = 1/p; // Reciprocate the first coefficient q_inv = 1/q; // Reciprocate the second coefficient r_inv = 1/r; // Reciprocate the third coefficient mul_fact = double(lcm(int32([p,q]))); // Find l.c.m. of m,n and p m1 = p_inv*mul_fact; // Clear the first fraction m2 = q_inv*mul_fact; // Clear the second fraction m3 = r_inv*mul_fact; // Clear the third fraction printf("\nThe miller indices of the given planes are : (%d %d %d) ", m1,m2,m3); // Result // The miller indices of the given planes are : (4 3 0)
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initConfig.sci
global p global c p = 0; c = 0; global p0 global c0 p0 = 0; c0 = 0; global sizesnake global sizeladder sizesnake = 10; sizeladder = 4; green = 3; red = 5; global c_player global c_ai c_player = green; c_ai = red; global s_player global s_ai s_player = 'o' s_ai = 'x' // sleeptime in ms global sleeptime sleeptime = 100 // linspace duration global lin_space lin_space = 50 // safety flag global sf_continue sf_snake = %F; sf_ladder = %F; // finally clear console and screen clf; clc;
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clear clf // variables du modèles r = 1 ; A = 0.5 ; K = 2.5 ; B=0.5 ; C=0.3 ; x = linspace(0, 2.5, 301); function f = predation(x) // fonction qui calcule la vitesse d'accroissement f =r * x .* (1 - x / K) - B * (x.^2 ./ (x.^2 + C^2)) // opération vectorielle endfunction plot2d(x, predation(x), style = 2); // Tracé de la vitesse d'accroissement // Définition des paramètres d'affichages a=gca(); a.x_location = "origin"; a.grid=[5,5];
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function[x, k] = newton(foncjac, tol, Kmax, x0) if Kmax - floor(Kmax) ~= 0 | Kmax < 0 error('Kmax must be an int'); end if tol < 0 | abs(tol) < %eps error('wrong tol'); end for k = 1:Kmax [f, J] = foncjac(x0); correction = J\-f; x = x0 + correction; if (norm(x - x0) / norm(x)) < tol return x; else x0 = x; end end error('didnt converge'); endfunction
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//clc() x = 2; x0 = 1; m = 0; x1 = 4; n = 1.386294; x2 = 6; p = 1.791759; f1 = (x - x1)*m/((x0 - x)) + (x- x0) * n/(x1 - x0); disp(f1,"first order polynomial f1(2) = ") f2 = (x - x1)*(x - x2)*m/((x0 - x1)*(x0 - x2)) + (x - x0)*(x - x2)*n/((x1-x0)*(x1-x2)) + (x - x0)*(x - x1)*p/((x2 - x0)*(x2 - x1)); disp(f2,"second order polynomial f2(2) = ")
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//computes ellipses minor and major axis from 2D covariance matrix function [axis] = ellipsesAxis(Cmat) //ensure positive-definite matrix Cchol = chol(Cmat); CC = Cchol'*Cchol; //compute evecs and evals [RR,diagCC] = spec(CC); eval1 = diagCC(1,1); eval2 = diagCC(2,2); evec1 = [RR(1,1);RR(2,1)]; evec2 = [RR(1,2);RR(2,2)]; //return first the biggest eval, then the smallest and finally the angle if (eval1>eval2) then axis = [eval1;eval2;atan(RR(2,1),RR(1,1))*180/%pi]; else axis = [eval2;eval1;atan(RR(2,2),RR(1,2))*180/%pi]; end endfunction //trace_ellipse //xc,yc is the center //a main axis, the one which is rotates phi wrt the plot horizontal //b second axis function [] = draw_ellipses(xc, yc, a, b, phi) step = 0.1; t = 0:step:%pi/2; X = a*cos(t); Y = b*sin(t); n = 4*size(X,'*'); XY1 = [X, -flipdim(X,2), -X, flipdim(X,2);... Y, flipdim(Y,2), -Y, -flipdim(Y,2)]; XY = rotate(XY1, phi) + [xc*ones(1,n);yc*ones(1,n)]; xpoly(XY(1,:), XY(2,:)); endfunction //draws ellipses in the current axis, given by the //covariance matrix Cmat, and centered at point mu function[] = draw_ellispes_from_cov(mu, Cmat, axes_h) //ensure positive-definite matrix Cchol = chol(Cmat); CC = Cchol'*Cchol; //compute eigenvalues [RR,diagCC] = spec(CC); eval1 = diagCC(1,1); eval2 = diagCC(2,2); //sort evals by value. Set major and minor axes, and orientation angle of the ellipses if (eval1>eval2) then axis = [eval1;eval2;atan(RR(2,1),RR(1,1))]; else axis = [eval2;eval1;atan(RR(2,2),RR(1,2))]; end //start drawing (compute all points) step = 0.1; //Set drawing step t = 0:step:%pi/2; //set drawing vector eX = axis(1)*cos(t); //ellispes points (X component, a quarter) eY = axis(2)*sin(t); //ellipses points (Y component, a quarter) nn = 4*size(eX,'*'); //num of total points of the ellipses eXY1 = [eX, -flipdim(eX,2), -eX, flipdim(eX,2); eY, flipdim(eY,2), -eY, -flipdim(eY,2)]; eXY = rotate(eXY1, axis(3)) + [mu(1)*ones(1,nn);mu(2)*ones(1,nn)]; sca(axes_h); //Set current axes xpoly(eXY(1,:), eXY(2,:)); endfunction
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clc //initialisation of variables d=0.15//lb p=20//lb/in^2 p1=100//lb/iN62 t=200//degree C f=10//percent Pt=0.5457*p1//lb/in^2 x1=0.996//in x2=0.952//in h=29//C.H.U/lb h1=65//C.H.U/lb v=7.73//ft^3 v1=20.12//ft^3 T=0.364//in T1=0.465//in v2=sqrt(2*32.2*1400*h)//ft/sec v3=sqrt(2*32.2*1400*h1)//ft/sec //CALCULATIONS V1=d*v*x1//ft^3 V2=d*v1*x2//ft^3 A1=(V1/v2)*144//in^2 A2=(V2/v3)*144//in^2 //RESULTS printf('the throat and exit diameters of the nozzle=% f in^2',A2)
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clear clf r=1.2; Cvect = 0.02:0.01:0.11; ndate = 0:30; for i = 1:10 C=Cvect(i); x(1) = 1; for n = 1:30 x(n+1)=r*(x(n)/(C*x(n)+1)); end plot2d(ndate, x, style = -1); plot2d(ndate, x, style = i); end
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clc; clear; F=16;// Power ratio in dB k=1.38*10^(-23) ;// boltzman constant T=290; //temperature in K B=5; //Bandwidth in MHz P=(F-1)*k*T*B*10^(6); disp(" Amplifier Inout noise power (in watts) is"); disp(P);
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clc; //page no 463 //prob no. 14.3 //Cable with teflon dielectric er=2.1 er=2.1;c=3*10^8;//Velocity of light //Determination of velocity factor Vf=1/sqrt(er); disp(Vf,'The value of velocity factor is'); //Determination of propagation velocity Vp=Vf*c; disp('m/s',Vp,'The value of propagation velo. is');
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//Example 4.3 //for given matrix "A" proving eigen values of "A"="t^-1*A*T" clear;clc; xdel(winsid()); A=[0 1 0;0 0 1;-6 -11 -6] P=bdiag(A) //eigen values of "A" T=[1 1 1;-1 -2 -3; 1 4 9] //vandermode matrix inv(T) A1=inv(T)*A*T //diagonal canonical form of A //thus "P=A1" is proved.
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//AC Circuits : example 4.33 :pg(4.27) Vm=177; Im=14.14; phi=30; V=(Vm/sqrt(2)); I=(Im/sqrt(2)); pf=cosd(30); P=(V*I*pf); disp("v(t)=177sin(314t+10)");// value of 10 is in degrees disp("i(t)=14.14sin(314t-20)");//value of 20 is in degrees mprintf("\nCurrent i(t) lags behind voltage v(t) by 30degrees"); disp("phi=30degrees"); printf("Power factor pf=cos(30)=%.3f (lagging)",pf); printf("\nPower consumed P=V*I*cos(phi)=%.1f W",P);
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//example-21.15 //page no-651 //given //length of wire l=250*10^-3 //m //no of turns N=400 //current I=15 //A //permeability in vaccum mu0=1.2457*10^-6 //H/m //relative permeability mur=1 //magnetic field strength H=N*I/l //AT/m //flux density is B=mu0*mur*H //Wb/m^2 printf ("the magnetic field strength is %f AT/m and flux density is %f Wb/m",H,B)
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clear; //clc(); // Example 10.2 // Page: 262 printf("Example-8.2 Page no.-262\n\n"); //***Data***// // The initial data for this example is same as that of example 10.2, i.e. P = 800;//[psia] Bubble point pressure x_e = 0.60;// Mole fraction of ethane in liquid phase x_h = (1-x_e);// Mole fraction of n-heptane in the liquid phase R = 0.08314;//( L*bar/(mol*K)) Universal gas constant // Changing the pressure in bar Pb = (800/14.7)*(1.01325);//[bar] // In this problem we will denote ethane by 'e' and that to n-heptane by 'h' // From table A.1 ( page 417 ) given in the book, critical temperatures of ethane and heptane are T_c_e = 305.3;//[K] T_c_h = 540.2;//[K] // and critical pressures are P_c_e = 48.72;//[bar] P_c_h = 27.40;//[bar] // also the accentric facors are w_e = 0.1; w_h = 0.35; // Thus we have P_r_e = Pb/P_c_e; P_r_h = Pb/P_c_h; // Now from equations (F.13) and (F.14) ( page 459 ) given in the book we have // A_e = 0.42747 + ( 1 + (0.480 + 1.574*w_e - 0.17*w_e^(2))*( 1 - T_r_e^(0.5)))^(2)*(P_r_e/T_r_e^(2)); // A_h = 0.42747 + ( 1 + (0.480 + 1.574*w_h - 0.17*w_h^(2))*( 1 - T_r_h^(0.5)))^(2)*(P_r_h/T_r_h^(2)); // and // B_e = 0.08664*(P_r_e/T_r_e); // B_h = 0.08664*(P_r_h/T_r_h); // We will take the help trial and error method both on Temperature and the vapor phase composition of ethane // Let us assume the starting temperature 200 deg F. Changing this temperature in K T = (200-32)*5/9 + 273.15;//[K] err = 1; while err > 10^(-4) T_r_e = T/T_c_e; T_r_h = T/T_c_h; A_e = 0.42747*( 1 + (0.480 + 1.574*w_e - 0.17*w_e^(2))*( 1 - T_r_e^(0.5)))^(2)*(P_r_e/T_r_e^(2)); A_h = 0.42747*( 1 + (0.480 + 1.574*w_h - 0.17*w_h^(2))*( 1 - T_r_h^(0.5)))^(2)*(P_r_h/T_r_h^(2)); B_e = 0.08664*(P_r_e/T_r_e); B_h = 0.08664*(P_r_h/T_r_h); // Now we will take the starting value of vapor phase composition of ethane as y_e = 0.9; err1 = 1; while err1 > 10^(-6) // Now value of A_mix and B_mix for both liquid and vapor phase are calculated as A_mix_l = (x_e*sqrt(A_e) + x_h*sqrt(A_h))^(2);// For liquid phase A_mix_v = (y_e*sqrt(A_e) + (1 - y_e)*sqrt(A_h))^(2);// For vapor phase B_mix_l = (x_e*B_e + x_h*B_h);// For liquid B_mix_v = (y_e*B_e + (1 - y_e)*B_h);// For liquid deff('[y]=f(z1)','y = z1^(3) - z1^(2) + z1*(A_mix_l - B_mix_l - B_mix_l^(2)) - A_mix_l*B_mix_l'); z_l = fsolve(0.2,f); // and deff('[y]=g(z2)','y = z2^(3) - z2^(2) + z2*(A_mix_v - B_mix_v - B_mix_v^(2)) - A_mix_v*B_mix_v'); z_v = fsolve(0.3,g); // Now phi_el = B_e/B_mix_l*( z_l - 1) - log(z_l - B_mix_l) - (A_mix_l/B_mix_l)*(2*sqrt(A_e/A_mix_l)-B_e/B_mix_l)*log(1-B_mix_l/z_l); phi_hl = B_h/B_mix_l*( z_l - 1) - log(z_l - B_mix_l) - (A_mix_l/B_mix_l)*(2*sqrt(A_h/A_mix_l)-B_h/B_mix_l)*log(1-B_mix_l/z_l); phi_ev = B_e/B_mix_v*( z_v - 1) - log(z_v - B_mix_v) - (A_mix_v/B_mix_v)*(2*sqrt(A_e/A_mix_v)-B_e/B_mix_v)*log(1-B_mix_v/z_v); phi_hv = B_h/B_mix_v*( z_v - 1) - log(z_v - B_mix_v) - (A_mix_v/B_mix_v)*(2*sqrt(A_h/A_mix_v)-B_h/B_mix_v)*log(1-B_mix_v/z_v); K_e = phi_el/phi_ev; K_h = phi_hl/phi_hv; y_e1 = K_e*x_e; y_h1 = K_h*x_h; err1 =abs((y_e1 - y_e)); y_e = y_e1; end err = abs((y_e1 + y_h1) -1); T = T + 0.1; end // Changing the temperature in deg F, we have Tf = ( T - 273.15)*9/5 + 32;//[F] printf(" Bubble point of the given ethanol and n-heptane mixture at 800 psia is %f deg F\n",Tf); printf(" Amount of ethanol in the vapour phase of the mixture at the given condition is %f \n",y_e1); printf(" Amount of n-heptane in the vapour phase of the mixture at the given condition is %f ",y_h1);
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<?xml version="1.0" encoding="UTF-8" standalone="yes"?> <TestCase> <Step> <EventId>e68</EventId> <ReachingStep>false</ReachingStep> </Step> <Step> <EventId>e63</EventId> <ReachingStep>false</ReachingStep> </Step> <Step> <EventId>e53</EventId> <ReachingStep>false</ReachingStep> </Step> <Step> <EventId>e79</EventId> <ReachingStep>false</ReachingStep> </Step> <Step> <EventId>e37</EventId> <ReachingStep>false</ReachingStep> </Step> <Step> <EventId>e43</EventId> <ReachingStep>false</ReachingStep> </Step> </TestCase>
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//Example 17 // possible values and energy clc; clear; close; r1=2;//from graph r2=4.5;//units from graph disp("possible values of r are "+string(r1)+" units and "+string(r2)+" units") osc=1-(-2.5);//units disp("maximum energy of oscillations for r=2 units is "+string(osc)+" units ") osc1=0.5-(-1);//units disp("maximum energy of oscillations for r=4.5 units is "+string(osc1)+" units ") t=1;//from graph v=0;//from graph e=t+v;// disp(e,"total energy is,(unit)=") disp("at infinity V = "+string(v)+" therefore T = "+string(t)+" unit ")
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//Tested on Windows 7 Ultimate 32-bit //Chapter 3 Semiconductor Diodes and Miscellaneous Devices Pg no. 102 clear; clc; //Given Data Vz=18;//zener breakdown voltage in volts Izmax=60;//maximum safe current through diode in milli-amperes R=150;//series resistance in ohms Rl=1D3;//load resistance in ohms //Solution Vinmin=((Rl+R)/Rl)*Vz;//minimum value of input voltage Iload=Vz/Rl*1000;//load current in milli-amperes Imax=Izmax+Iload;//maximum current through battery in milli-amperes Vinmax=Vz+Imax/1000*R;//maximum value of input voltage printf("So the input voltage ranges from %.1f volts to %.1f volts",Vinmin,Vinmax);
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clc //initialisation n=10 a=0.6 h=0 //CALCULATIONS b=1-a p=factorial(n)*a^10/(factorial(n-h)*factorial(h)) //results printf(' \n probability of heads occurence= % 1f ',a*10) printf(' \n probability of occuring head only in 10 throws= % 1f ',p)
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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 7.11 clc; clear; s=%s p=poly([40 10],'s','coeff') q=poly([0 3 4 1],'s','coeff') sm=cont_frm(p,q) disp(sm,'the state model in matrix form is')
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%%-*- mode: erlang -*- %%-*- coding: utf-8 -*- % Test query options [{tests, []}]. %% %% TESTS %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.2 Patterns in practice %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.2.1. Creating data %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE (:Movie { title:\"The Matrix\",released:1997 }) ". " CREATE (p:Person { name:\"Keanu Reeves\", born:1964 }) RETURN p ". " CREATE (a:Person { name:\"Tom Hanks\", born:1956 })-[r:ACTED_IN { roles: [\"Forrest\"]}]->(m:Movie { title:\"Forrest Gump\",released:1994 }) CREATE (d:Person { name:\"Robert Zemeckis\", born:1951 })-[:DIRECTED]->(m) RETURN a,d,r,m ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.2.2. Matching patterns %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (m:Movie) RETURN m ". " MATCH (p:Person { name:\"Keanu Reeves\" }) RETURN p ". " MATCH (p:Person { name:\"Tom Hanks\" })-[r:ACTED_IN]->(m:Movie) RETURN m.title, r.roles ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.2.3 Attaching structures %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (p:Person { name:\"Tom Hanks\" }) CREATE (m:Movie { title:\"Cloud Atlas\",released:2012 }) CREATE (p)-[r:ACTED_IN { roles: ['Zachry']}]->(m) RETURN p,r,m ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.2.4. Completing patterns %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MERGE (m:Movie { title:\"Cloud Atlas\" }) ON CREATE SET m.released = 2012 RETURN m ". " MATCH (m:Movie { title:\"Cloud Atlas\" }) MATCH (p:Person { name:\"Tom Hanks\" }) MERGE (p)-[r:ACTED_IN]->(m) ON CREATE SET r.roles =['Zachry'] RETURN p,r,m ". " CREATE (y:Year { year:2014 }) MERGE (y)<-[:IN_YEAR]-(m10:Month { month:10 }) MERGE (y)<-[:IN_YEAR]-(m11:Month { month:11 }) RETURN y,m10,m11 ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.3 Getting correct results %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE (matrix:Movie { title:\"The Matrix\",released:1997 }) CREATE (cloudAtlas:Movie { title:\"Cloud Atlas\",released:2012 }) CREATE (forrestGump:Movie { title:\"Forrest Gump\",released:1994 }) CREATE (keanu:Person { name:\"Keanu Reeves\", born:1964 }) CREATE (robert:Person { name:\"Robert Zemeckis\", born:1951 }) CREATE (tom:Person { name:\"Tom Hanks\", born:1956 }) CREATE (tom)-[:ACTED_IN { roles: [\"Forrest\"]}]->(forrestGump) CREATE (tom)-[:ACTED_IN { roles: ['Zachry']}]->(cloudAtlas) CREATE (robert)-[:DIRECTED]->(forrestGump) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.3.1. Filtering results %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (m:Movie) WHERE m.title = \"The Matrix\" RETURN m ". " MATCH (m:Movie { title: \"The Matrix\" }) RETURN m ". " MATCH (p:Person)-[r:ACTED_IN]->(m:Movie) WHERE p.name =~ \"K.+\" OR m.released > 2000 OR \"Neo\" IN r.roles RETURN p,r,m ". " MATCH (p:Person)-[:ACTED_IN]->(m) WHERE NOT (p)-[:DIRECTED]->() RETURN p,m ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.3.2. Returning results %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (p:Person) RETURN p, p.name AS name, upper(p.name), coalesce(p.nickname,\"n/a\") AS nickname, { name: p.name, label:head(labels(p))} AS person ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.3.3. Aggregating information %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (:Person) RETURN count(*) AS people ". " MATCH (actor:Person)-[:ACTED_IN]->(movie:Movie)<-[:DIRECTED]-(director:Person) RETURN actor,director,count(*) AS collaborations ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.3.4. Ordering and pagination %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a:Person)-[:ACTED_IN]->(m:Movie) RETURN a,count(*) AS appearances ORDER BY appearances DESC LIMIT 10; ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.3.5. Collecting aggregation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (m:Movie)<-[:ACTED_IN]-(a:Person) RETURN m.title AS movie, collect(a.name) AS cast, count(*) AS actors ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.4 Composing large statements %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE (matrix:Movie { title:\"The Matrix\",released:1997 }) CREATE (cloudAtlas:Movie { title:\"Cloud Atlas\",released:2012 }) CREATE (forrestGump:Movie { title:\"Forrest Gump\",released:1994 }) CREATE (keanu:Person { name:\"Keanu Reeves\", born:1964 }) CREATE (robert:Person { name:\"Robert Zemeckis\", born:1951 }) CREATE (tom:Person { name:\"Tom Hanks\", born:1956 }) CREATE (tom)-[:ACTED_IN { roles: [\"Forrest\"]}]->(forrestGump) CREATE (tom)-[:ACTED_IN { roles: ['Zachry']}]->(cloudAtlas) CREATE (robert)-[:DIRECTED]->(forrestGump) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.4.1. UNION %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (actor:Person)-[r:ACTED_IN]->(movie:Movie) RETURN actor.name AS name, type(r) AS acted_in, movie.title AS title UNION MATCH (director:Person)-[r:DIRECTED]->(movie:Movie) RETURN director.name AS name, type(r) AS acted_in, movie.title AS title ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.4.2. WITH %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (person:Person)-[:ACTED_IN]->(m:Movie) WITH person, count(*) AS appearances, collect(m.title) AS movies WHERE appearances > 1 RETURN person.name, appearances, movies ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.5 Constraints and indexes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.5.1. Using constraints %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % CREATE CONSTRAINT ON (movie:Movie) ASSERT movie.title IS UNIQUE % ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.5.2. Using indexes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % CREATE INDEX ON :Actor(name) % ". " CREATE (actor:Actor { name:\"Tom Hanks\" }),(movie:Movie { title:'Sleepless IN Seattle' }), (actor)-[:ACTED_IN]->(movie); ". " MATCH (actor:Actor { name: \"Tom Hanks\" }) RETURN actor; ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 4.6. Importing CSV files with Cypher %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % LOAD CSV WITH HEADERS FROM \"{csv-dir}/import/persons.csv\" AS csvLine % CREATE (p:Person { id: toInt(csvLine.id), name: csvLine.name }) % ". % not supported % " % CREATE INDEX ON :Country(name) % ". % not supported % " % LOAD CSV WITH HEADERS FROM \"{csv-dir}/import/movies.csv\" AS csvLine % MERGE (country:Country { name: csvLine.country }) % CREATE (movie:Movie { id: toInt(csvLine.id), title: csvLine.title, year:toInt(csvLine.year)}) % CREATE (movie)-[:MADE_IN]->(country) % ". % not supported % " % CREATE CONSTRAINT ON (person:Person) ASSERT person.id IS UNIQUE % ". % not supported % " % CREATE CONSTRAINT ON (movie:Movie) ASSERT movie.id IS UNIQUE % ". % not supported % " % USING PERIODIC COMMIT 500 % LOAD CSV WITH HEADERS FROM \"{csv-dir}/import/roles.csv\" AS csvLine % MATCH (person:Person { id: toInt(csvLine.personId)}),(movie:Movie { id: toInt(csvLine.movieId)}) % CREATE (person)-[:PLAYED { role: csvLine.role }]->(movie) % ". % not supported % " % DROP CONSTRAINT ON (person:Person) ASSERT person.id IS UNIQUE % ". % not supported % " % DROP CONSTRAINT ON (movie:Movie) ASSERT movie.id IS UNIQUE % ". " MATCH (n) WHERE n:Person OR n:Movie REMOVE n.id ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 5.1 What is Cypher? %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (john {name: 'John'})-[:friend]->()-[:friend]->(fof) RETURN john.name, fof.name ". " MATCH (user)-[:friend]->(follower) WHERE user.name IN ['Joe', 'John', 'Sara', 'Maria', 'Steve'] AND follower.name =~ 'S.*' RETURN user.name, follower.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 5.2 Querying and updating the graph %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 5.2.1. The structure of update queries %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n {name: 'John'})-[:FRIEND]-(friend) WITH n, count(friend) AS friendsCount WHERE friendsCount > 3 RETURN n, friendsCount ". " MATCH (n {name: 'John'})-[:FRIEND]-(friend) WITH n, count(friend) AS friendsCount SET n.friendCount = friendsCount RETURN n.friendsCount ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 5.4 Uniqueness %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE (adam:User { name: 'Adam' }),(pernilla:User { name: 'Pernilla' }),(david:User { name: 'David' }), (adam)-[:FRIEND]->(pernilla),(pernilla)-[:FRIEND]->(david) ". " MATCH (user:User { name: 'Adam' })-[r1:FRIEND]-()-[r2:FRIEND]-(friend_of_a_friend) RETURN friend_of_a_friend.name AS fofName ". " MATCH (user:User { name: 'Adam' })-[r1:FRIEND]-(friend) MATCH (friend)-[r2:FRIEND]-(friend_of_a_friend) RETURN friend_of_a_friend.name AS fofName ". " MATCH (user:User { name: 'Adam' })-[r1:FRIEND]-(friend),(friend)-[r2:FRIEND]-(friend_of_a_friend) RETURN friend_of_a_friend.name AS fofName ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 5.5 Compatibility %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % CYPHER 2.3 % START n=node:nodes(name = \"A\") % RETURN n % ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 5.5.1. Accessing entities by id via START %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % CYPHER 1.9 % START n=node(42) % RETURN n % ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.2 Expressions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.2.3. Case Expressions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN CASE n.eyes WHEN 'blue' THEN 1 WHEN 'brown' THEN 2 ELSE 3 END AS result ". " MATCH (n) RETURN CASE WHEN n.eyes = 'blue' THEN 1 WHEN n.age < 40 THEN 2 ELSE 3 END AS result ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.3 Variables %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n)-->(b) RETURN b ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4 Parameters %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.1. String literal %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.name = $name RETURN n ". " MATCH (n { name: $name }) RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.2. Regular expression %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.name =~ $regex RETURN n.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.3. Case-sensitive string pattern matching %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.name STARTS WITH $name RETURN n.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.4. Create node with properties %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE ($props) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.5. Create multiple nodes with properties %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " UNWIND $props AS properties CREATE (n:Person) SET n = properties RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.6. Setting all properties on node %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) WHERE n.name='Michaela' SET n = $props ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.7. SKIP and LIMIT %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) RETURN n.name SKIP $s LIMIT $l ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.8. Node id %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE id(n)= $id RETURN n.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.9. Multiple node ids %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE id(n) IN $ids RETURN n.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.10. Calling procedures %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % CALL db.resampleIndex($indexname) % ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.11. Index query (legacy indexes) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % START n=node:people(name = $value) % RETURN n % ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.4.12. Index query (legacy indexes) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % START n=node:people($query) % RETURN n % ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.5 Operators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.5.2. General operators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE (a:Person { name: 'Anne', eyeColor: 'blue' }),(b:Person { name: 'Bill', eyeColor: 'brown' }),(c:Person { name: 'Carol', eyeColor: 'blue' }) WITH a, b, c MATCH (p:Person) RETURN DISTINCT p.eyeColor ". " WITH { person: { name: 'Anne', age: 25 }} AS p RETURN p.person.name ". " CREATE (a:Restaurant { name: 'Hungry Jo', rating_hygiene: 10, rating_food: 7 }),(b:Restaurant { name: 'Buttercup Tea Rooms', rating_hygiene: 5, rating_food: 6 }),(c1:Category { name: 'hygiene' }),(c2:Category { name: 'food' }) WITH a, b, c1, c2 MATCH (restaurant:Restaurant),(category:Category) WHERE restaurant[\"rating_\" + category.name]> 6 RETURN DISTINCT restaurant.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.5.3. Mathematical operators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " WITH 2 AS number, 3 AS exponent RETURN number ^ exponent AS result ". " WITH -3 AS a, 4 AS b RETURN b - a AS result ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.5.4. Comparison operators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " WITH 4 AS one, 3 AS two RETURN one > two AS result ". " WITH ['John', 'Mark', 'Jonathan', 'Bill'] AS somenames UNWIND somenames AS names WITH names AS candidate WHERE candidate STARTS WITH 'Jo' RETURN candidate ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.5.5. Boolean operators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " WITH [2, 4, 7, 9, 12] AS numberlist UNWIND numberlist AS number WITH number WHERE number = 4 OR (number > 6 AND number < 10) RETURN number ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.5.6. String operators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " WITH ['mouse', 'chair', 'door', 'house'] AS wordlist UNWIND wordlist AS word WITH word WHERE word =~ '.*ous.*' RETURN word ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.5.7. List operators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN [1,2,3,4,5]+[6,7] AS myList ". " WITH [2, 3, 4, 5] AS numberlist UNWIND numberlist AS number WITH number WHERE number IN [2, 3, 8] RETURN number ". " WITH ['Anne', 'John', 'Bill', 'Diane', 'Eve'] AS names RETURN names[1..3] AS result ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.5.11. Chaining Comparison Operations %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE 21 < n.age <= 30 RETURN n ". " MATCH (n) WHERE 21 < n.age AND n.age <= 30 RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.6 Comments %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported since comments are ignored % " % MATCH (n) RETURN n //This is an end of line comment % ". % not supported since comments are ignored % " % MATCH (n) % //This is a whole line comment % RETURN n % ". % not supported since comments are ignored % " % MATCH (n) WHERE n.property = '//This is NOT a comment' RETURN n % ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.7 Patterns %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.7.5. Patterns for relationships %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (me)-[:KNOWS*1..2]-(remote_friend) WHERE me.name = 'Filipa' RETURN remote_friend.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.8 Lists %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.8.1. Lists in general %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] AS list ". " RETURN range(0, 10)[3] ". " RETURN range(0, 10)[-3] ". " RETURN range(0, 10)[0..3] ". " RETURN range(0, 10)[0..-5] ". " RETURN range(0, 10)[-5..] ". " RETURN range(0, 10)[..4] ". " RETURN range(0, 10)[15] ". " RETURN range(0, 10)[5..15] ". " RETURN size(range(0, 10)[0..3]) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.8.2. List comprehension %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN [x IN range(0,10) WHERE x % 2 = 0 | x^3] AS result ". " RETURN [x IN range(0,10) WHERE x % 2 = 0] AS result ". " RETURN [x IN range(0,10)| x^3] AS result ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.8.3. Pattern comprehension %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a:Person { name: 'Charlie Sheen' }) RETURN [(a)-->(b) WHERE b:Movie | b.year] AS years ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.8.4. Literal maps %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN { key: 'Value', listKey: [{ inner: 'Map1' }, { inner: 'Map2' }]} ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 6.8.5. Map Projection %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.1 MATCH %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.1.2. Basic node finding %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ". " MATCH (movie:Movie) RETURN movie.title ". " MATCH (director { name: 'Oliver Stone' })--(movie) RETURN movie.title ". " MATCH (:Person { name: 'Oliver Stone' })--(movie:Movie) RETURN movie.title ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.1.3. Relationship basics %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (:Person { name: 'Oliver Stone' })-->(movie) RETURN movie.title ". " MATCH (:Person { name: 'Oliver Stone' })-[r]->(movie) RETURN type(r) ". " MATCH (wallstreet:Movie { title: 'Wall Street' })<-[:ACTED_IN]-(actor) RETURN actor.name ". " MATCH (wallstreet { title: 'Wall Street' })<-[:ACTED_IN|:DIRECTED]-(person) RETURN person.name ". " MATCH (wallstreet { title: 'Wall Street' })<-[r:ACTED_IN]-(actor) RETURN r.role ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.1.4. Relationships in depth %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (charlie:Person { name: 'Charlie Sheen' }),(rob:Person { name: 'Rob Reiner' }) CREATE (rob)-[:`TYPE WITH SPACE`]->(charlie) ". " MATCH (n { name: 'Rob Reiner' })-[r:`TYPE WITH SPACE`]->() RETURN type(r) ". " MATCH (charlie { name: 'Charlie Sheen' })-[:ACTED_IN]->(movie)<-[:DIRECTED]-(director) RETURN movie.title, director.name ". " MATCH (martin { name: 'Charlie Sheen' })-[:ACTED_IN*1..3]-(movie:Movie) RETURN movie.title ". " MATCH (actor { name: 'Charlie Sheen' })-[r:ACTED_IN*2]-(co_actor) RETURN r ". " MATCH (charlie:Person { name: 'Charlie Sheen' }),(martin:Person { name: 'Martin Sheen' }) CREATE (charlie)-[:X { blocked: FALSE }]->(:UNBLOCKED)<-[:X { blocked: FALSE }]-(martin) CREATE (charlie)-[:X { blocked: TRUE }]->(:BLOCKED)<-[:X { blocked: FALSE }]-(martin) ". " MATCH p =(charlie:Person)-[* { blocked:false }]-(martin:Person) WHERE charlie.name = 'Charlie Sheen' AND martin.name = 'Martin Sheen' RETURN p ". " MATCH (wallstreet:Movie { title: 'Wall Street' })-[*0..1]-(x) RETURN x ". " MATCH p =(michael { name: 'Michael Douglas' })-->() RETURN p ". " MATCH (a)-[r]-(b) WHERE id(r)= 0 RETURN a,b ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.1.5. Shortest path %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.1.6. Get node or relationship by id %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE id(n)= 0 RETURN n ". " MATCH ()-[r]->() WHERE id(r)= 0 RETURN r ". " MATCH (n) WHERE id(n) IN [0, 3, 5] RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.2 OPTIONAL MATCH %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.2.2. Relationship %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a:Movie { title: 'Wall Street' }) OPTIONAL MATCH (a)-->(x) RETURN x ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.2.3. Properties on optional elements %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a:Movie { title: 'Wall Street' }) OPTIONAL MATCH (a)-->(x) RETURN x, x.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.2.4. Optional typed and named relationship %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a:Movie { title: 'Wall Street' }) OPTIONAL MATCH (a)-[r:ACTS_IN]->() RETURN r ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.3 WHERE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.3.1. Basic usage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.name = 'Peter' XOR (n.age < 30 AND n.name = 'Tobias') OR NOT (n.name = 'Tobias' OR n.name = 'Peter') RETURN n ". " MATCH (n) WHERE n:Swedish RETURN n ". " MATCH (n) WHERE n.age < 30 RETURN n ". " MATCH (n)-[k:KNOWS]->(f) WHERE k.since < 2000 RETURN f ". " MATCH (n) WHERE n[toLower($prop)]< 30 RETURN n ". " MATCH (n) WHERE exists(n.belt) RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.3.2. String matching %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.name STARTS WITH 'Pet' RETURN n ". " MATCH (n) WHERE n.name ENDS WITH 'ter' RETURN n ". " MATCH (n) WHERE n.name CONTAINS 'ete' RETURN n ". " MATCH (n) WHERE NOT n.name ENDS WITH 's' RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.3.3. Regular expressions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.name =~ 'Tob.*' RETURN n ". % not supported % " % MATCH (n) % WHERE n.address =~ 'Sweden\\/Malmo' % RETURN n % ". " MATCH (n) WHERE n.name =~ '(?i)ANDR.*' RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.3.4. Using path patterns in WHERE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (tobias { name: 'Tobias' }),(others) WHERE others.name IN ['Andres', 'Peter'] AND (tobias)<--(others) RETURN others ". " MATCH (persons),(peter { name: 'Peter' }) WHERE NOT (persons)-->(peter) RETURN persons ". " MATCH (n) WHERE (n)-[:KNOWS]-({ name: 'Tobias' }) RETURN n ". " MATCH (n)-[r]->() WHERE n.name='Andres' AND type(r)=~ 'K.*' RETURN r ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.3.5. Lists %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name IN ['Peter', 'Tobias'] RETURN a ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.3.6. Missing properties and values %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.belt = 'white' RETURN n ". " MATCH (n) WHERE n.belt = 'white' OR n.belt IS NULL RETURN n ORDER BY n.name ". " MATCH (person) WHERE person.name = 'Peter' AND person.belt IS NULL RETURN person ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.3.7. Using ranges %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name >= 'Peter' RETURN a ". " MATCH (a) WHERE a.name > 'Andres' AND a.name < 'Tobias' RETURN a ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.4 START %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.4.1. Get node or relationship from index %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.5. CREATE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.5.1. Create nodes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE (n) ". " CREATE (n),(m) ". " CREATE (n:Person) ". " CREATE (n:Person:Swedish) ". " CREATE (n:Person { name: 'Andres', title: 'Developer' }) ". " CREATE (a { name: 'Andres' }) RETURN a ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.5.2. Create relationships %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a:Person),(b:Person) WHERE a.name = 'Node A' AND b.name = 'Node B' CREATE (a)-[r:RELTYPE]->(b) RETURN r ". " MATCH (a:Person),(b:Person) WHERE a.name = 'Node A' AND b.name = 'Node B' CREATE (a)-[r:RELTYPE { name: a.name + '<->' + b.name }]->(b) RETURN r ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.5.3. Create a full path %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE p =(andres { name:'Andres' })-[:WORKS_AT]->(neo)<-[:WORKS_AT]-(michael { name: 'Michael' }) RETURN p ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.5.4. Use parameters with CREATE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE (n:Person $props) RETURN n ". " UNWIND $props AS map CREATE (n) SET n = map ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.6. MERGE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.6.2. Merge nodes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MERGE (robert:Critic) RETURN robert, labels(robert) ". " MERGE (charlie { name: 'Charlie Sheen', age: 10 }) RETURN charlie ". " MERGE (michael:Person { name: 'Michael Douglas' }) RETURN michael.name, michael.bornIn ". " MATCH (person:Person) MERGE (city:City { name: person.bornIn }) RETURN person.name, person.bornIn, city ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.6.3. Use ON CREATE and ON MATCH %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MERGE (keanu:Person { name: 'Keanu Reeves' }) ON CREATE SET keanu.created = timestamp() RETURN keanu.name, keanu.created ". " MERGE (person:Person) ON MATCH SET person.found = TRUE RETURN person.name, person.found ". " MERGE (keanu:Person { name: 'Keanu Reeves' }) ON CREATE SET keanu.created = timestamp() ON MATCH SET keanu.lastSeen = timestamp() RETURN keanu.name, keanu.created, keanu.lastSeen ". " MERGE (person:Person) ON MATCH SET person.found = TRUE , person.lastAccessed = timestamp() RETURN person.name, person.found, person.lastAccessed ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.6.4. Merge relationships %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (charlie:Person { name: 'Charlie Sheen' }),(wallStreet:Movie { title: 'Wall Street' }) MERGE (charlie)-[r:ACTED_IN]->(wallStreet) RETURN charlie.name, type(r), wallStreet.title ". " MATCH (oliver:Person { name: 'Oliver Stone' }),(reiner:Person { name: 'Rob Reiner' }) MERGE (oliver)-[:DIRECTED]->(movie:Movie)<-[:ACTED_IN]-(reiner) RETURN movie ". " MATCH (charlie:Person { name: 'Charlie Sheen' }),(oliver:Person { name: 'Oliver Stone' }) MERGE (charlie)-[r:KNOWS]-(oliver) RETURN r ". " MATCH (person:Person) MERGE (city:City { name: person.bornIn }) MERGE (person)-[r:BORN_IN]->(city) RETURN person.name, person.bornIn, city ". " MATCH (person:Person) MERGE (person)-[r:HAS_CHAUFFEUR]->(chauffeur:Chauffeur { name: person.chauffeurName }) RETURN person.name, person.chauffeurName, chauffeur ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.6.5. Using unique constraints with MERGE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % CREATE CONSTRAINT ON (n:Person) ASSERT n.name IS UNIQUE; % CREATE CONSTRAINT ON (n:Person) ASSERT n.role IS UNIQUE; % ". " MERGE (laurence:Person { name: 'Laurence Fishburne' }) RETURN laurence.name ". " MERGE (oliver:Person { name: 'Oliver Stone' }) RETURN oliver.name, oliver.bornIn ". " MERGE (michael:Person { name: 'Michael Douglas', role: 'Gordon Gekko' }) RETURN michael ". " MERGE (oliver:Person { name: 'Oliver Stone', role: 'Gordon Gekko' }) RETURN oliver ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.6.6. Using map parameters with MERGE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MERGE (person:Person { name: $param.name, role: $param.role }) RETURN person.name, person.role ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7. SET %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.1. Set a property %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Andres' }) SET n.surname = 'Taylor' RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.2. Remove a property %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Andres' }) SET n.name = NULL RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.3. Copying properties between nodes and relationships %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (at { name: 'Andres' }),(pn { name: 'Peter' }) SET at = pn RETURN at, pn ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.4. Adding properties from maps %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (peter { name: 'Peter' }) SET peter += { hungry: TRUE , position: 'Entrepreneur' } ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.5. Set a property using a parameter %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Andres' }) SET n.surname = $surname RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.6. Set all properties using a parameter %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Andres' }) SET n = $props RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.7. Set multiple properties using one SET clause %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Andres' }) SET n.position = 'Developer', n.surname = 'Taylor' ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.8. Set a label on a node %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Stefan' }) SET n :German RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.7.9. Set multiple labels on a node %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Emil' }) SET n :Swedish:Bossman RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.8. DELETE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.8.1. Delete single node %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) DETACH DELETE n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.8.2. Delete all nodes and relationships %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) DETACH DELETE n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.8.3. Delete a node with all its relationships %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Andres' }) DETACH DELETE n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.9. REMOVE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.9.1. Remove a property %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (andres { name: 'Andres' }) REMOVE andres.age RETURN andres ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.9.2. Remove a label from a node %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Peter' }) REMOVE n:German RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.9.3. Removing multiple labels %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Peter' }) REMOVE n:German:Swedish RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.10. FOREACH %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.11. CREATE UNIQUE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.12. LOAD CSV %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13. RETURN %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.1. Return nodes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'B' }) RETURN n ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.2. Return relationships %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'A' })-[r:KNOWS]->(c) RETURN r ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.3. Return property %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'A' }) RETURN n.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.4. Return all elements %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH p =(a { name: 'A' })-[r]->(b) RETURN * ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.5. Variable with uncommon characters %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (`This isn't a common variable`) WHERE `This isn't a common variable`.name = 'A' RETURN `This isn't a common variable`.happy ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.6. Column alias %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a { name: 'A' }) RETURN a.age AS SomethingTotallyDifferent ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.7. Optional properties %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n.age ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.8. Other expressions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a { name: 'A' }) RETURN a.age > 30, \"I'm a literal\",(a)-->() ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.13.9. Unique results %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a { name: 'A' })-->(b) RETURN DISTINCT b ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.14. ORDER BY %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.14.1. Order nodes by property %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ORDER BY n.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.14.2. Order nodes by multiple properties %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ORDER BY n.age, n.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.14.3. Order nodes in descending order %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ORDER BY n.name DESC ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.14.4. Ordering null %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n.length, n ORDER BY n.length ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.15. LIMIT %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.15.1. Return first part %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ORDER BY n.name LIMIT 3 ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.15.2. Return first from expression %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ORDER BY n.name LIMIT toInt(3 * rand())+ 1 ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.16. SKIP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.16.1. Skip first three %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ORDER BY n.name SKIP 3 ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.16.2. Return middle two %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ORDER BY n.name SKIP 1 LIMIT 2 ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.16.3. Skip first from expression %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) RETURN n ORDER BY n.name SKIP toInt(3*rand())+ 1 ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.17. WITH %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.17.1. Filter on aggregate function results %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (david { name: 'David' })--(otherPerson)-->() WITH otherPerson, count(*) AS foaf WHERE foaf > 1 RETURN otherPerson ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.17.2. Sort results before using collect on them %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WITH n ORDER BY n.name DESC LIMIT 3 RETURN collect(n.name) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.17.3. Limit branching of your path search %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'Anders' })--(m) WITH m ORDER BY m.name DESC LIMIT 1 MATCH (m)--(o) RETURN o.name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.18. UNWIND %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.18.1. Unwind a list %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " UNWIND [1, 2, 3] AS x RETURN x ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.18.2. Create a distinct list %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.18.3. Create nodes from a list parameter %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.19. UNION %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.19.1. Combine two queries %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Actor) RETURN n.name AS name UNION ALL MATCH (n:Movie) RETURN n.title AS name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.19.2. Combine two queries and remove duplicates %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Actor) RETURN n.name AS name UNION MATCH (n:Movie) RETURN n.title AS name ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 7.20. CALL %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.1. Predicate functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.1.1. all() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH p =(a)-[*1..3]->(b) WHERE a.name = 'Alice' AND b.name = 'Daniel' AND ALL (x IN nodes(p) WHERE x.age > 30) RETURN p ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.1.2. any() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Eskil' AND ANY (x IN a.array WHERE x = 'one') RETURN a ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.1.3. exists() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE exists(n.name) RETURN n.name AS name, exists((n)-[:MARRIED]->()) AS is_married ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.1.4. none() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH p =(n)-[*1..3]->(b) WHERE n.name = 'Alice' AND NONE (x IN nodes(p) WHERE x.age = 25) RETURN p ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.1.5. single() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH p =(n)-->(b) WHERE n.name = 'Alice' AND SINGLE (var IN nodes(p) WHERE var.eyes = 'blue') RETURN p ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2. Scalar functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.1. coalesce() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Alice' RETURN coalesce(a.hairColor, a.eyes) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.2. endNode() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (x:foo)-[r]-() RETURN endNode(r) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.3. head() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Eskil' RETURN a.array, head(a.array) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.4. id() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) RETURN id(a) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.5. last() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Eskil' RETURN a.array, last(a.array) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.6. length() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH p =(a)-->(b)-->(c) WHERE a.name = 'Alice' RETURN length(p) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.7. properties() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " CREATE (p:Person { name: 'Stefan', city: 'Berlin' }) RETURN properties(p) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.8. size() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN size(['Alice', 'Bob']) AS col ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.9. Size of pattern expression %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Alice' RETURN size((a)-->()-->()) AS fof ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.10. Size of string %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE size(a.name)> 6 RETURN size(a.name) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.11. startNode() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN timestamp() ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.12. timestamp() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Alice' RETURN coalesce(a.hairColor, a.eyes) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.13. toBoolean() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN toBoolean('TRUE'), toBoolean('not a boolean') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.14. toFloat() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN toFloat('11.5'), toFloat('not a number') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.15. toInteger() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN toInteger('42'), toInteger('not a number') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.2.16. type() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n)-[r]->() WHERE n.name = 'Alice' RETURN type(r) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3. Aggregating functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.1. avg() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) RETURN avg(n.age) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.2. collect() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) RETURN collect(n.age) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.3. count() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n { name: 'A' })-->(x) RETURN labels(n), n.age, count(*) ". " MATCH (n { name: 'A' })-[r]->() RETURN type(r), count(*) ". " MATCH (n { name: 'A' })-->(x) RETURN count(x) ". " MATCH (n:Person) RETURN count(n.age) ". " MATCH (me:Person)-->(friend:Person)-->(friend_of_friend:Person) WHERE me.name = 'A' RETURN count(DISTINCT friend_of_friend), count(friend_of_friend) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.4. max() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) RETURN max(n.age) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.5. min() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) RETURN min(n.age) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.6. percentileCont() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) RETURN percentileCont(n.age, 0.4) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.7. percentileDisc() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) RETURN percentileDisc(n.age, 0.5) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.8. stDev() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.name IN ['A', 'B', 'C'] RETURN stDev(n.age) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.9. stDevP() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n) WHERE n.name IN ['A', 'B', 'C'] RETURN stDevP(n.age) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.3.10. sum() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Person) RETURN sum(n.age) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4. List functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.1. extract() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH p =(a)-->(b)-->(c) WHERE a.name = 'Alice' AND b.name = 'Bob' AND c.name = 'Daniel' RETURN extract(n IN nodes(p)| n.age) AS extracted ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.2. filter() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Eskil' RETURN a.array, filter(x IN a.array WHERE size(x)= 3) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.3. keys() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Alice' RETURN keys(a) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.4. labels() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Alice' RETURN labels(a) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.5. nodes() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH p =(a)-->(b)-->(c) WHERE a.name = 'Alice' AND c.name = 'Eskil' RETURN nodes(p) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.6. range() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN range(0, 10), range(2, 18, 3) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.7. reduce() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported % " % MATCH p =(a)-->(b)-->(c) % WHERE a.name = 'Alice' AND b.name = 'Bob' AND c.name = 'Daniel' % RETURN reduce(totalAge = 0, n IN nodes(p)| totalAge + n.age) AS reduction % ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.8. relationships() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH p =(a)-->(b)-->(c) WHERE a.name = 'Alice' AND c.name = 'Eskil' RETURN relationships(p) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.4.9. tail() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a) WHERE a.name = 'Eskil' RETURN a.array, tail(a.array) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.5. Mathematical functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.5.1. Numeric functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (a),(e) WHERE a.name = 'Alice' AND e.name = 'Eskil' RETURN a.age, e.age, abs(a.age - e.age) ". " RETURN ceil(0.1) ". " RETURN floor(0.9) ". " RETURN rand() ". " RETURN round(3.141592) ". " RETURN sign(-17), sign(0.1) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.5.2. Logarithmic functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN e() ". " RETURN exp(2) ". " RETURN log(27) ". " RETURN log10(27) ". " RETURN sqrt(256) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.5.3. Trigonometric functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN acos(0.5) ". " RETURN asin(0.5) ". " RETURN atan(0.5) ". " RETURN atan2(0.5, 0.6) ". " RETURN cos(0.5) ". " RETURN cot(0.5) ". " RETURN degrees(3.14159) ". " RETURN haversin(0.5) ". " CREATE (ber:City { lat: 52.5, lon: 13.4 }),(sm:City { lat: 37.5, lon: -122.3 }) RETURN 2 * 6371 * asin(sqrt(haversin(radians(sm.lat - ber.lat))+ cos(radians(sm.lat))* cos(radians(ber.lat))* haversin(radians(sm.lon - ber.lon)))) AS dist ". " RETURN pi() ". " RETURN radians(180) ". " RETURN sin(0.5) ". " RETURN tan(0.5) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6. String functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.1. left() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN left('hello', 3) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.2. lTrim() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN lTrim(' hello') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.3. replace() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN replace(\"hello\", \"l\", \"w\") ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.4. reverse() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN reverse('anagram') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.5. right() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN right('hello', 3) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.6. rTrim() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN rTrim('hello ') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.7. split() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN split('one,two', ',') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.8. substring() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN substring('hello', 1, 3), substring('hello', 2) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.9. toLower() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN toLower('HELLO') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.10. toString() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN toString(11.5), toString('already a string'), toString(TRUE ) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.11. toUpper() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN toUpper('hello') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.6.12. trim() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN trim(' hello ') ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.7. Spatial functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.7.1. distance() %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " WITH point({ x: 2.3, y: 4.5, crs: 'cartesian' }) AS p1, point({ x: 1.1, y: 5.4, crs: 'cartesian' }) AS p2 RETURN distance(p1,p2) AS dist ". " MATCH (t:TrainStation)-[:TRAVEL_ROUTE]->(o:Office) WITH point({ longitude: t.longitude, latitude: t.latitude }) AS trainPoint, point({ longitude: o.longitude, latitude: o.latitude }) AS officePoint RETURN round(distance(trainPoint, officePoint)) AS travelDistance ". " RETURN distance(NULL , point({ longitude: 56.7, latitude: 12.78 })) AS d ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.7.2. point() - WGS 84 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN point({ longitude: 56.7, latitude: 12.78 }) AS point ". " RETURN point({ x: 2.3, y: 4.5, crs: 'WGS-84' }) AS point ". " MATCH (p:Office) RETURN point({ longitude: p.longitude, latitude: p.latitude }) AS officePoint ". " RETURN point(NULL ) AS p ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.7.3. point() - cartesian 2D %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " RETURN point({ x: 2.3, y: 4.5 }) AS point ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.8. User-defined functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 8.8.1. Call a user-defined function %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% " MATCH (n:Member) RETURN myFunction(collect(n.name)) ". %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 9.1. Indexes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% 9.2. Constraints %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % not supported
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sce
Ch04Ex1.sce
// Scilab code Ex4.1: Pg 109 (2005) clc; clear; I = 10; // Electric current, A t = 3600; // Time, s q = I*t; // Electric charge liberated, C mm_Ba = 137; // Molar mass of Barium, g mm_Cl = 35.5; // Molar mass of Chlorine, g valence_Ba = 2; // Valence electrons of Barium valence_Cl = 1; // Valence electrons of Chlorine // Using Faraday’s law of electrolysis, we have m_Ba = (q*mm_Ba)/(96500*valence_Ba); // Mass of Barium obtained, g m_Cl = (q*mm_Cl)/(96500*valence_Cl); // Mass of Chlorine obtained, g printf("\nMass of Barium obtained = %4.1f g", m_Ba); printf("\nMass of Chlorine obtained = %4.1f g", m_Cl); // Result // Mass of Barium obtained = 25.6 g // Mass of Chlorine obtained = 13.2 g