content
string
quality_label
int64
meta
string
all-MiniLM-L6-v2_embedding
list
doc_id
int64
unique_id
string
Can any1 help me with this example...? November 1st 2007, 12:15 PM #1 Newbie Joined Nov 2007 Posts 21 Can any1 help me with this example...? I ould really do with some help on this example i got in a revision booklet i have. Any input is great...thankyou. product 1 needs 0.3 of A 0.1 of B p...
4
[ -0.00787353515625, 0.04541015625, -0.0634765625, -0.0869140625, -0.0089111328125, 0.02001953125, 0.052490234375, 0.001800537109375, -0.0274658203125, 0.04833984375, -0.04541015625, -0.0947265625, 0.0869140625, 0.0732421875, 0.017333984375, 0.140625, -0.04443359375, 0.0213623046875,...
15,600
15600
Patent US3980874 - Binary to modulo M translation BACKGROUND OF THE INVENTION This invention relates to a method and apparatus for performing a modulo M translation on a large binary number and more particularly to a high speed method and reliable low-cost apparatus for performing the translation. One area requiring ...
4
[ -0.01336669921875, 0.076171875, -0.10302734375, -0.08056640625, -0.03955078125, -0.043212890625, 0.0013885498046875, 0.06201171875, 0.00665283203125, 0.00238037109375, 0.0245361328125, 0.04736328125, 0.047119140625, -0.043701171875, -0.09130859375, -0.019287109375, -0.051025390625, ...
15,601
15601
Need some help with the method May 1st 2009, 09:36 AM #1 Junior Member Joined May 2008 Posts 25 Need some help with the method I've got an equation: 4x^3 - 24x^2 + 45 x - 23 A tangent is drawn at point P. (1,2) dy/dx = 12x^2 - 48x +45 At f´(1) = 12 -48 + 45 = 9 2 = 9(1) +c y = 9x...
4
[ -0.005584716796875, 0.00762939453125, -0.00885009765625, -0.032958984375, 0.0062255859375, 0.09228515625, 0.05224609375, 0.1103515625, -0.004119873046875, 0.017578125, 0.06884765625, -0.0299072265625, 0.0130615234375, 0.07861328125, -0.021240234375, 0.06884765625, -0.07275390625, -...
15,602
15602
Compressible gas flow In compressible flow, exact relation between pressure and specific volume is required, but it is not easily determined in each specific problem. Usually extremes are considered like adiabatic and isothermal flow. Calculator for pressure drop due to minor losses and friction for for known flow ra...
4
[ 0.017578125, 0.0142822265625, -0.060546875, -0.004913330078125, 0.02783203125, 0.0059814453125, -0.0341796875, 0.060546875, 0.0299072265625, 0.01708984375, -0.1181640625, -0.0478515625, 0.031982421875, 0.0257568359375, -0.0216064453125, -0.095703125, -0.01904296875, 0.06005859375, ...
15,603
15603
Australian Maths Competition August 5th 2010, 09:31 PM #1 Newbie Joined Aug 2010 Posts 20 Australian Maths Competition Hey, I'm in Year 10, does anybody know the answers to the last 5 questions? All I know: The question that asks "how many numbers under 2010 have 3 factors" is 14. Also...
4
[ -0.036865234375, 0.01806640625, -0.043701171875, -0.058349609375, 0.02880859375, 0.109375, 0.03564453125, 0.10986328125, -0.07080078125, -0.04248046875, 0.044921875, -0.04345703125, 0.0556640625, 0.087890625, -0.004669189453125, 0.01104736328125, -0.11181640625, 0.0159912109375, ...
15,604
15604
Oscillation frequency of circuit 1. The problem statement, all variables and given/known data An L-C circuit containing an 83.0 [tex]\rm mH[/tex] inductor and a 1.50 [tex]\rm nF[/tex] capacitor oscillates with a maximum current of 0.800 A. Calculate the oscillation frequency of the circuit. 2. Relevant equations [t...
4
[ -0.024658203125, 0.0419921875, 0.057861328125, 0.031982421875, -0.01275634765625, -0.0223388671875, -0.057861328125, 0.06982421875, -0.0177001953125, -0.04541015625, 0.05078125, -0.1123046875, 0.080078125, 0.007537841796875, 0.00026702880859375, 0.06298828125, -0.08203125, 0.021484...
15,605
15605
More limits of natural logs. September 30th 2008, 06:54 PM #1 Newbie Joined Sep 2008 Posts 8 More limits of natural logs. Why is the limit as x approaches +inf of (ln 2x)/(ln 3x) equal to 1? I thought that infinity/infinity was an indeterminate form? And I can't use L'Hopital's Rule yet either. Tha...
5
[ -0.0361328125, -0.130859375, 0.0184326171875, -0.0164794921875, 0.059326171875, -0.05615234375, 0.006378173828125, -0.05029296875, 0.06982421875, 0.0556640625, 0.033203125, -0.0284423828125, 0.01202392578125, 0.0030975341796875, 0.03173828125, 0.01080322265625, -0.11083984375, -0.0...
15,606
15606
help! exam tomorrow June 21st 2007, 03:21 PM eric1044 help! exam tomorrow 1)Two hundred people attended a dance recital. Adults tickets were $10.00 and children were $7.50. If the total revenue was $1850.00 how many adults and how many children attended? 2) Forty metres of fencing are available to enclose ...
4
[ 0.12060546875, 0.0693359375, 0.061767578125, -0.0233154296875, -0.03662109375, 0.036376953125, 0.043212890625, 0.0361328125, -0.0810546875, 0.07861328125, 0.0074462890625, -0.0172119140625, 0.053955078125, 0.05859375, 0.0322265625, 0.03857421875, 0.019287109375, -0.0196533203125, ...
15,607
15607
Conditional probability November 11th 2009, 06:46 AM #1 Junior Member Joined Nov 2009 Posts 25 Conditional probability 10. The following data from a sample of 100 families show the record of college attendance by fathers and their oldest sons: in 22 families, both father and son attended college; in 31 f...
4
[ -0.015380859375, 0.0341796875, 0.012939453125, -0.06201171875, 0.039306640625, -0.01202392578125, 0.0203857421875, -0.0137939453125, 0.0032806396484375, 0.057373046875, 0.07958984375, -0.026611328125, 0.07275390625, -0.004425048828125, 0.0040283203125, 0.01068115234375, -0.0028991699...
15,608
15608
Asteroid hits moon → moon hits Earth...possible? Michael Mozina Just out of curiosity, how did you calculate the time it would take to impact? I used numerical integration techniques, specifically a velocity Verlet integrator. Herein I place an upper bound on the time. For simplicity, assume the initial lunar orbi...
5
[ 0.0419921875, 0.01470947265625, 0.08203125, -0.050537109375, 0.000885009765625, -0.0810546875, -0.0260009765625, 0.06640625, 0.0067138671875, 0.038330078125, 0.048095703125, -0.0634765625, -0.0036163330078125, -0.05908203125, -0.00004315376281738281, 0.009033203125, 0.00323486328125,...
15,609
15609
Solving for x November 4th 2009, 07:13 PM #1 Newbie Joined Nov 2008 Posts 17 Solving for x Can someone help me solve for x? I tried many different ways, but I never got the answer so can someone show me the steps so I can understand what I did wrong? 1. $y = 1 - \frac {1}{1-x}$ The answer sh...
4
[ -0.0673828125, -0.06982421875, 0.02587890625, -0.0054931640625, -0.000171661376953125, -0.06201171875, 0.06884765625, -0.02734375, -0.07373046875, 0.0181884765625, -0.0272216796875, -0.07275390625, 0.005859375, 0.07421875, 0.0252685546875, 0.03515625, -0.0269775390625, -0.120605468...
15,610
15610
Basis of subspace (and combinations of them) SoapyIllusion 1. The problem statement, all variables and given/known data We are given the following subspaces U := {x E R3: x1 + 2*x2 - x3 = 0} and V := {x E R3: x1 - 2*x2 - 2*x3 = 0} And we need to find a basis for (i) U (ii) V (iii) U n V (not an "n" but a symbol t...
5
[ -0.032958984375, 0.02099609375, 0.006744384765625, -0.000675201416015625, 0.05517578125, -0.021240234375, 0.08203125, -0.080078125, -0.0556640625, -0.0986328125, 0.0247802734375, -0.0634765625, 0.044921875, -0.0196533203125, 0.0054931640625, -0.052734375, -0.0712890625, -0.03222656...
15,611
15611
An Adaptive Estimation Scheme for Open-Circuit Voltage of Power Lithium-Ion Battery Abstract and Applied Analysis Volume 2013 (2013), Article ID 481976, 6 pages http://dx.doi.org/10.1155/2013/481976 Research Article An Adaptive Estimation Scheme for Open-Circuit Voltage of Power Lithium-Ion Battery School of Control...
4
[ -0.04052734375, 0.11279296875, -0.047119140625, 0.09814453125, 0.0625, -0.0184326171875, -0.027587890625, 0.01904296875, 0.0634765625, 0.024658203125, -0.004669189453125, -0.0142822265625, 0.059326171875, -0.0096435546875, -0.05419921875, -0.00592041015625, 0.0252685546875, 0.03051...
15,612
15612
seating placement October 5th 2008, 04:51 PM #1 Member Joined Oct 2007 Posts 89 seating placement Hello, I thought this would of been easy but I am second guessing myself. Frank, Tom, Jim and 6 other boys are randomly seated in a row. What is the probability that neither Frank nor Tom sits next ...
4
[ -0.015625, -0.025390625, 0.010986328125, -0.0004177093505859375, -0.01312255859375, 0.02978515625, -0.0238037109375, -0.01409912109375, -0.01324462890625, 0.0142822265625, -0.0177001953125, -0.052978515625, 0.09228515625, 0.003692626953125, -0.01544189453125, -0.0255126953125, -0.029...
15,613
15613
Given volume and SA, find lengths. December 26th 2007, 09:15 AM #1 Newbie Joined Dec 2007 Posts 5 [Solved!]Given volume and SA, find lengths. Given volume and surface area of a rectangular solid, and sides are in GP.? The volume of a certain recangular solid is 64 and its total surface area is 384. I...
4
[ 0.00531005859375, 0.031982421875, -0.0205078125, -0.0361328125, -0.003570556640625, -0.020263671875, -0.0084228515625, 0.05126953125, -0.01177978515625, -0.039794921875, -0.1064453125, -0.016845703125, 0.0164794921875, 0.09765625, 0.045654296875, -0.01043701171875, -0.00836181640625,...
15,614
15614
Definition of determinant and connection to linear dependance of columns July 12th 2011, 10:14 PM Yair1978 Definition of determinant and connection to linear dependance of columns Hi, In my book on linear algebra (first year university) the author starts off explaining the concepts of determinants by focusi...
4
[ -0.026611328125, -0.09765625, -0.0654296875, -0.0264892578125, 0.035400390625, -0.029541015625, -0.01336669921875, -0.057373046875, 0.03955078125, 0.0235595703125, 0.07861328125, 0.02685546875, -0.00799560546875, 0.0279541015625, -0.060791015625, -0.0322265625, -0.002349853515625, ...
15,615
15615
Permutations / probability question There are ${10 \choose 3}$ ways to pick the numbers to match. That is six cards. So we need four more cards. They can be of either color, but not the same number. Therefore, there are ${7 \choose 4}$ ways to pick the numbers to not match. But those four cards can be of either color, ...
4
[ 0.048095703125, 0.02490234375, -0.072265625, 0.0118408203125, -0.041015625, 0.1181640625, 0.0771484375, -0.0166015625, 0.061279296875, -0.0299072265625, -0.031005859375, -0.054443359375, 0.01324462890625, 0.058837890625, -0.02685546875, 0.09912109375, -0.0390625, -0.002548217773437...
15,616
15616
Power series question December 28th 2011, 03:45 AM #1 Newbie Joined Dec 2011 Posts 14 Power series question Let p be a polynomial of degree k>0. Prove that $\sum p(n)z^n$ has radius of convergence 1 and that there exists a polynomial q(z) of degree k such that $\sum_{n=0}^{\infty}p(n)z^n = q(z)(1-z)^{- ...
4
[ -0.078125, 0.06005859375, -0.031005859375, 0.1826171875, 0.007598876953125, -0.01116943359375, 0.05517578125, -0.0303955078125, 0.06640625, -0.00064849853515625, -0.046142578125, 0.0106201171875, 0.07373046875, 0.0341796875, -0.05078125, -0.041015625, 0.0034942626953125, -0.0722656...
15,617
15617
Integrating the integral of ydx March 8th 2007, 06:14 PM #1 Newbie Joined Mar 2007 Posts 2 Integrating the integral of ydx Ok well I'm doing a problem involving throwing a ball up in the air and figuring out it's position function with consideration of air resistance. The short in sweet is that I'm t...
4
[ -0.055908203125, 0.0203857421875, 0.0732421875, 0.0240478515625, 0.034912109375, -0.0216064453125, -0.01611328125, 0.0283203125, -0.058349609375, 0.047607421875, 0.0888671875, 0.0079345703125, 0.01251220703125, 0.1064453125, 0.040283203125, 0.035888671875, 0.01123046875, 0.06933593...
15,618
15618
Probability May 1st 2012, 04:54 AM #1 Junior Member Joined Jul 2008 Posts 33 Probability There are 4 girls and 5 boys would like to go on school trip but there are onlyy 2 seats available. a) calculate the probability that one girl and one boy will be chosen ans P (BG)+ P(GB)=( 5/9 x 4/8 ) +( 4/...
4
[ 0.005462646484375, 0.0128173828125, 0.080078125, 0.01129150390625, 0.0281982421875, 0.0035552978515625, 0.09912109375, 0.004791259765625, 0.040283203125, 0.06982421875, 0.0174560546875, -0.019775390625, 0.0306396484375, 0.057861328125, -0.041259765625, 0.07958984375, 0.0439453125, ...
15,619
15619
Normally distributed X implies logistic regression for Y March 23rd 2011, 03:36 AM #1 Member Joined Oct 2008 Posts 206 Normally distributed X implies logistic regression for Y Suppose the distribution of X for subjects having Y=1 is normal $N(\mu_1,\sigma)$, and suppose the distribution of X for subjects...
4
[ 0.05322265625, -0.1162109375, 0.003936767578125, 0.0306396484375, 0.119140625, -0.06884765625, 0.01190185546875, 0.0634765625, -0.0595703125, 0.000396728515625, 0.0693359375, 0.041748046875, 0.0634765625, 0.024658203125, -0.0264892578125, 0.0164794921875, -0.05712890625, -0.0727539...
15,620
15620
Probably Overthinking It This week's post contains solutions to My Favorite Bayes's Theorem Problems , and one new problem. If you missed last week's post , go back and read the problems before you read the solutions! If you don't understand the title of this post, brush up on your memes . 1) The first one is a...
5
[ -0.0177001953125, 0.0277099609375, 0.1005859375, -0.0186767578125, -0.0019683837890625, 0.004608154296875, 0.087890625, 0.00141143798828125, 0.056640625, 0.05615234375, 0.006927490234375, -0.0595703125, 0.00051116943359375, 0.0250244140625, 0.021484375, -0.01031494140625, 0.063964843...
15,621
15621
Calculation of probability that two sets of outcomes are always disjoint March 25th 2013, 03:53 AM #1 Newbie Joined Oct 2009 Posts 13 Calculation of probability that two sets of outcomes are always disjoint Hello all, I am a bioinformatician with a probability calculation problem. It is seemingly tr...
5
[ -0.026123046875, 0.017333984375, 0.0322265625, -0.00811767578125, -0.05126953125, -0.04150390625, 0.04931640625, 0.046142578125, 0.04345703125, -0.010009765625, -0.07275390625, -0.033203125, 0.0380859375, 0.0771484375, 0.01373291015625, 0.01202392578125, -0.0009613037109375, -0.043...
15,622
15622
Show That a Function is Contractive May 4th 2007, 04:10 PM theamazingjenny Show That a Function is Contractive Question: Show that the following function is contractive on the indicated intervals. Determine the best values of [lamda] in Equation (2). abs(x)^(2/3) on abs(x) < or = 1/3 Equation (2): ...
5
[ 0.00135040283203125, -0.0673828125, -0.11865234375, -0.09375, -0.0810546875, 0.0167236328125, 0.0012969970703125, 0.045654296875, -0.052490234375, 0.01904296875, 0.0498046875, -0.0225830078125, 0.040771484375, 0.049072265625, 0.0986328125, 0.057373046875, 0.09326171875, -0.14550781...
15,623
15623
Using the alternating series test for convergence ? The alternating series test is given as: $\sum^{\infty}_{r=1}(-1)^{r-1}b_r$ , where $b_n > 0$ , converges if $(b_n)$ is a monotone decreasing sequence with limit zero. I have 3 problems,I am asked to investigate these for conditional or absolute converg...
4
[ -0.0654296875, -0.05029296875, -0.0264892578125, -0.0067138671875, 0.005645751953125, -0.0167236328125, 0.0016021728515625, 0.013671875, 0.03125, 0.0341796875, -0.00531005859375, -0.0283203125, -0.0233154296875, 0.08203125, -0.04833984375, -0.052001953125, 0.0556640625, -0.09814453...
15,624
15624
Log equation November 5th 2007, 03:04 AM #1 Log equation Hello ln ( (e^x+1) / (x^3 + x^2) ) needs to be verified So here's what I got: = ln ( (e^x+1) / (x^3 + x^2) ) = ln (e^x+1) - ln (x^3 + x^2) = (x+1) ln e - ln ((x^2(x+1)) -can't get past this point. What do you mean by "veri...
4
[ -0.05224609375, 0.04833984375, 0.03173828125, 0.0439453125, 0.06591796875, -0.06982421875, 0.00811767578125, -0.0177001953125, 0.053955078125, -0.047119140625, 0.10595703125, -0.09375, 0.0673828125, -0.00555419921875, -0.0439453125, -0.044921875, -0.095703125, 0.06005859375, -0.0...
15,625
15625
A Simple Model for Assessment of Anti-Toxin Antibodies BioMed Research International Volume 2013 (2013), Article ID 230906, 8 pages http://dx.doi.org/10.1155/2013/230906 Research Article A Simple Model for Assessment of Anti-Toxin Antibodies HPP Division, Defence Science and Technology Organisation, 506 Lorimer Stre...
4
[ -0.005462646484375, -0.039794921875, -0.03515625, 0.0026092529296875, 0.03173828125, 0.027099609375, -0.000881195068359375, 0.111328125, 0.0302734375, -0.0106201171875, 0.0211181640625, -0.009765625, 0.09228515625, 0.16796875, -0.0966796875, 0.038330078125, 0.029052734375, -0.00970...
15,626
15626
Combinations - Math Genius Answer : The sum of all the numbers that can be formed with any given set of four different figures is always 6,666 multiplied by the sum of the four figures. Thus, 1, 2, 3, 4 add up 10, and ten times 6,666 is 66,660. Now, there are thirty-five different ways of selecting four figures from ...
5
[ 0.047607421875, 0.0284423828125, -0.0194091796875, -0.0439453125, -0.04541015625, 0.07666015625, 0.01904296875, -0.0004367828369140625, 0.05078125, 0.01031494140625, -0.0595703125, -0.010498046875, 0.0390625, 0.0263671875, -0.049072265625, -0.06298828125, -0.07666015625, 0.08300781...
15,627
15627
Math Help October 15th 2011, 09:58 AM #1 Nail in Can Hi All, A similar question to the ladder one i posted earlier. Now that i have an idea from what i was shown earlier, i've tried to attempt it. The Question says: A 20cm nail fits inside a cylindrical can. Find the maximum radius of 3 balls that will f...
4
[ 0.017822265625, 0.08349609375, -0.103515625, -0.1357421875, -0.005126953125, -0.08447265625, -0.00145721435546875, 0.0771484375, -0.05615234375, 0.0034942626953125, 0.0205078125, 0.023681640625, 0.052978515625, 0.0849609375, 0.025390625, 0.0634765625, -0.0306396484375, 0.0172119140...
15,628
15628
Dielectric and Energy 1. The problem statement, all variables and given/known data Consider a horizontal square plate capacitor of area 1*1 m2, capacitance in vacuum 2 uF, which contains a dielectric material with dielectric constant K=5. The dielectric slides frictionlessly and is attached via a massless string and a ...
5
[ -0.006256103515625, 0.10546875, 0.0174560546875, -0.000606536865234375, 0.054443359375, -0.00074005126953125, 0.0546875, 0.039794921875, 0.004730224609375, 0.06884765625, 0.08154296875, -0.07373046875, -0.0159912109375, 0.04931640625, -0.08447265625, 0.00732421875, -0.015625, 0.024...
15,629
15629
Solving differential equations: Help explain the answers please December 22nd 2011, 06:30 AM #1 Newbie Joined Dec 2010 Posts 20 Solving differential equations: Help explain the answers please I have done most of the questions, I am just struggling on a few parts. The question is: a) Use the method o...
5
[ -0.07275390625, -0.06982421875, 0.034912109375, 0.021484375, -0.01483154296875, 0.01470947265625, 0.03515625, 0.0159912109375, 0.00555419921875, 0.05322265625, 0.0849609375, -0.035888671875, -0.0191650390625, 0.0081787109375, 0.01904296875, -0.00118255615234375, -0.09375, -0.082031...
15,630
15630
Patent US6061672 - Fuzzy logic neural network modular architecture BACKGROUND OF THE INVENTION 1. Field of the Invention This invention relates to a modular architecture of a cellular network for integration on semiconductor circuits using large-scale integration technology. A cellular network includes a plurality of...
4
[ -0.06982421875, 0.02099609375, -0.00677490234375, -0.087890625, -0.109375, -0.0098876953125, 0.04638671875, 0.01495361328125, 0.015869140625, -0.03955078125, 0.03076171875, 0.07763671875, 0.0732421875, -0.0262451171875, -0.10009765625, 0.0625, 0.00726318359375, -0.0257568359375, ...
15,631
15631
what did i do wrong? Integral problem: December 12th 2009, 06:07 PM micro31337 what did i do wrong? Integral problem: Am i doing this problem wrong? Evaluate the integral $<br /> \int (e^(2x)) / (e^x - 2)) dx$ <-- that is e^(2x) i expanded the problem to: $\int(e^x * e^x * (1/ (e^x - 2)) dx$ ...
5
[ -0.017578125, -0.008056640625, 0.06884765625, -0.00787353515625, 0.06689453125, -0.0179443359375, -0.10595703125, 0.0439453125, -0.09033203125, -0.0179443359375, 0.04052734375, -0.1630859375, 0.0035247802734375, -0.001129150390625, -0.0177001953125, -0.046630859375, 0.056640625, -0...
15,632
15632
Number stuff (urgent) August 10th 2009, 01:29 AM #1 Newbie Joined Jun 2009 Posts 9 digits 2, 3, 4, 5 and 7 are each used once to compose a 5-digit number abcde such that 4 divides a 3 digit number abc, 5 divides a 3 digit number BCD and 3 divides a 3 digit number cde. Find the 5=digit number abcde. ...
4
[ -0.09912109375, 0.051025390625, 0.0303955078125, -0.02734375, -0.0250244140625, 0.0771484375, 0.1171875, 0.000553131103515625, -0.04052734375, 0.0169677734375, -0.087890625, -0.08203125, -0.0064697265625, 0.0081787109375, -0.042236328125, -0.087890625, -0.080078125, 0.0419921875, ...
15,633
15633
Differentiating this Expression July 24th 2011, 12:32 PM YoungMarbleGiant Differentiating this Expression Can anyone help me with this? The question asks to differentiate the following... (x-5)^8 * (x+3)^6 The way I attempted it was to try using the product rule, but I don't get the same answer as stat...
4
[ -0.0302734375, -0.0194091796875, 0.01220703125, 0.00127410888671875, -0.00799560546875, 0.0361328125, 0.00164794921875, -0.01513671875, 0.0120849609375, 0.068359375, 0.08935546875, -0.0196533203125, -0.00885009765625, -0.0020599365234375, 0.004730224609375, 0.0439453125, -0.08984375,...
15,634
15634
Showing existence of an operator December 26th 2009, 03:08 AM #1 Showing existence of an operator I've been given the following question: Let $(\mathcal{H},(,))$ be a real Hilbert space with an orthonormal basis $\left\{e_n\right\}_{n=1}^{\infty}$. Let $F:[0,1]\to \mathcal{H}$ be continuous. Show that there ...
5
[ -0.0072021484375, 0.0108642578125, 0.0247802734375, 0.011962890625, -0.0311279296875, 0.080078125, 0.06494140625, 0.042236328125, -0.083984375, -0.016845703125, 0.0086669921875, 0.04541015625, -0.01483154296875, -0.021728515625, -0.0279541015625, -0.01104736328125, -0.000530242919921...
15,635
15635
trig derivative help... February 21st 2010, 11:42 AM #1 Junior Member Joined Jan 2010 Posts 62 trig derivative help... h(x) = sin2xcos2x h'(x) = -4cos2xsin2x <--- doubt this is correct -------------------- f(x) = cotx/sinx (unsure on how to do this....) -thx For the first one tr...
5
[ 0.0279541015625, 0.0654296875, 0.0296630859375, -0.0174560546875, 0.00732421875, 0.035888671875, -0.039794921875, 0.0308837890625, -0.010986328125, 0.0167236328125, 0.06494140625, -0.050537109375, 0.064453125, -0.0458984375, -0.0024871826171875, 0.032470703125, 0.0059814453125, 0.0...
15,636
15636
Ordering proof? June 24th 2010, 05:42 AM #1 Senior Member Joined Jul 2006 Posts 364 Ordering proof? Given unit vectors $q$ and $d_i$, i=1, 2, 3, ..., $q, d_i \in \mathbb{R}^n<br />$ and we compute $q\cdot d_i$ and the L2 distance between them, $|q-d_i|^2=\sum_{j=1}^n (q_i-d_{ij})^2$, and we were ...
4
[ -0.0634765625, 0.00823974609375, 0.080078125, -0.12158203125, -0.027587890625, 0.0240478515625, -0.0224609375, 0.00225830078125, 0.0703125, 0.0255126953125, 0.000484466552734375, 0.0634765625, 0.042724609375, -0.00408935546875, -0.06640625, 0.0341796875, 0.025390625, -0.01330566406...
15,637
15637
Integration by substitution June 17th 2009, 12:35 PM #1 Junior Member Joined Jan 2009 Posts 69 Integration by substitution I think that Integration by substitution is the appropriate method to use for the following function. $\displaystyle\int\dfrac{2\sec x}{2+\tan x}$ I can simplify it to ...
5
[ -0.0034332275390625, -0.01495361328125, 0.111328125, 0.07958984375, 0.046875, -0.04736328125, -0.03564453125, -0.006072998046875, -0.0322265625, 0.061767578125, 0.08056640625, 0.004150390625, -0.08203125, 0.034423828125, 0.00762939453125, 0.0240478515625, 0.07958984375, 0.061279296...
15,638
15638
How to pick motors for linear motion The easiest way to design a linear-motion system is to add components one by one. Then, step-by-step calculations relate input to power dissipated moving a load in a specific amount of time. Motors must accelerate loads while overcoming system friction and gravity without overheati...
5
[ -0.0400390625, -0.006378173828125, 0.000667572021484375, -0.012451171875, -0.07080078125, 0.032470703125, -0.049072265625, 0.06884765625, -0.03515625, 0.091796875, 0.006256103515625, 0.031005859375, -0.013671875, -0.031494140625, -0.029052734375, 0.10693359375, 0.05078125, 0.070312...
15,639
15639
Pulse splitting in the anomalous group-velocity-dispersion regime « journal navigation Pulse splitting in the anomalous group-velocity-dispersion regime Optics Express, Vol. 19, Issue 10, pp. 9309-9314 (2011) http://dx.doi.org/10.1364/OE.19.009309 Abstract We investigate experimentally the role that the initial te...
4
[ -0.059814453125, -0.1171875, 0.0269775390625, 0.06298828125, 0.0252685546875, -0.058349609375, 0.0169677734375, -0.05078125, -0.002960205078125, -0.010986328125, 0.0888671875, 0.053955078125, -0.056640625, -0.05126953125, 0.0419921875, -0.0211181640625, 0.0211181640625, -0.09472656...
15,640
15640
Projectile motion - maximum height June 5th 2009, 02:52 PM #1 Junior Member Joined May 2009 From Barrie, Ontario Posts 35 Projectile motion - maximum height If a projectile is fired upward from the surface of the moon with an initial velocity of 40 m/s, its height, in metres, after t seconds is given...
4
[ 0.0228271484375, 0.049560546875, 0.07373046875, -0.068359375, -0.059814453125, 0.008544921875, -0.06591796875, 0.1328125, -0.07275390625, 0.04541015625, 0.054443359375, 0.000392913818359375, 0.048828125, 0.018310546875, -0.00885009765625, 0.0732421875, 0.0137939453125, 0.0458984375...
15,641
15641
constructing basis May 10th 2011, 08:25 AM #1 Junior Member Joined Aug 2010 Posts 31 constructing basis Define a real linear transformation L1 : R4 \to R2 by L 1(x1, x2, x3, x4) = (3x1 + x2 + 2x3 − x4, 2x1 + 4x2 + 5x3 − x4) and let U1 denote the kernel of L1. Define a real line...
5
[ 0.0125732421875, -0.04931640625, -0.048095703125, -0.07470703125, 0.08154296875, -0.0003948211669921875, 0.0107421875, -0.08349609375, -0.05126953125, -0.059326171875, 0.032958984375, -0.07373046875, -0.00897216796875, -0.031005859375, -0.0299072265625, 0.007415771484375, -0.10986328...
15,642
15642
[SOLVED] Two questions about Euler April 16th 2009, 07:59 PM #1 Newbie Joined Apr 2009 Posts 4 [SOLVED] Two questions about Euler 1. find $3^{51204}$( $\bmod 74800$) i got $\phi(74800)$= 29760 & (3,74800) =1 so, $3^{\phi(74800)}$$\equiv 1$ ( $\bmod 74800$) but what shall i do next? 51204-297...
5
[ -0.004913330078125, 0.005218505859375, 0.0147705078125, 0.00041961669921875, -0.0245361328125, -0.020751953125, 0.064453125, 0.046142578125, -0.0157470703125, -0.0306396484375, 0.01422119140625, -0.0020751953125, 0.00775146484375, -0.036376953125, -0.044677734375, -0.0047607421875, -...
15,643
15643
search results Expand all Collapse all Results 1 - 1 of 1 1. CMB 2010 (vol 53 pp. 667) On the Endomorphism Rings of Local Cohomology Modules Let $R$ be a commutative Noetherian ring and $\mathfrak{a}$ a proper ideal of $R$. We show that if $n:=\operatorname{grade}_R\mathfrak{a}$, then $\operatorname{End}_R(H...
4
[ -0.048583984375, 0.1513671875, -0.03955078125, 0.0003662109375, 0.052490234375, 0.0029144287109375, 0.01123046875, -0.01068115234375, -0.0196533203125, -0.056884765625, 0.091796875, -0.03564453125, -0.032470703125, -0.00872802734375, -0.00180816650390625, 0.0458984375, -0.080078125, ...
15,644
15644
Pulley Problem: Find acceleration of block Register to reply by sona1177 Tags: acceleration, block, pulley P: 173 1. The problem statement, all variables and given/known data A 1.5 kg block and a 2.5 k...
4
[ -0.07080078125, 0.01318359375, -0.01434326171875, -0.023681640625, -0.0203857421875, -0.0260009765625, -0.019287109375, 0.08056640625, -0.0625, 0.0849609375, 0.10546875, -0.07861328125, -0.000640869140625, 0.01043701171875, -0.0576171875, 0.1875, -0.0250244140625, 0.0179443359375, ...
15,645
15645
Patent US6988104 - System and method for allocating data in a hierarchical organization of data TECHNICAL FIELD OF THE INVENTION This invention relates to the field of data allocation, and more particularly to a system and method for allocating data in a hierarchical organization of data. BACKGROUND OF THE INVENTION ...
4
[ -0.00885009765625, -0.00689697265625, -0.056884765625, -0.058837890625, -0.041259765625, 0.004180908203125, -0.04150390625, 0.07666015625, 0.0103759765625, 0.0223388671875, 0.0174560546875, 0.0712890625, 0.080078125, -0.0230712890625, -0.0150146484375, 0.015869140625, -0.003677368164...
15,646
15646
[SOLVED] Matrix problem, a bit clueless September 14th 2008, 02:13 PM #1 [SOLVED] Matrix problem, a bit clueless Find the reduced row equivalent to $A$, $R$ where $A=\left( \begin{array}{ccc} 3 & -1 & 2 \\ 2 & 1 & 2 \\ 1 & 3 & 2 \end{array} \right)$. I won't show my calculus but I found $R$ to be $\left( \ be...
5
[ -0.06689453125, -0.049560546875, -0.08154296875, -0.0654296875, 0.039306640625, -0.006011962890625, 0.0284423828125, -0.038818359375, -0.00154876708984375, 0.0732421875, 0.038818359375, -0.044677734375, 0.00970458984375, 0.0260009765625, -0.02734375, 0.01043701171875, -0.0673828125, ...
15,647
15647
Gradient of a curve May 10th 2011, 08:47 PM Tim82 Gradient of a curve Q: The gradient of a curve with equation y=f(x) is given by f1 (x) = x + sin2x. If f(0) = 1, find f(\pi ) Any help would be appreciated (Happy) May 10th 2011, 09:00 PM Prove It If you're finding f(pi), just substitute x = ...
5
[ -0.05810546875, -0.0306396484375, 0.0242919921875, 0.1064453125, 0.0223388671875, 0.1376953125, -0.06591796875, 0.061767578125, -0.020263671875, 0.003387451171875, 0.03564453125, -0.053955078125, -0.005584716796875, 0.00009393692016601562, -0.0169677734375, -0.01708984375, -0.0402832...
15,648
15648
Question about epsilons that occurs in calculating beta functions in QFTs w dim reg In deriving the beta function of, say, QED using dimensional regularization we get the relation (up to 1 loop) [tex]\beta[e] = - \frac{\epsilon}{2} e - e \frac{d ln[Z_{e}]}{d ln[\mu]} \quad (1)[/tex] and [tex]Z_{e} = 1 + \frac{e^{2} ...
5
[ -0.072265625, -0.006866455078125, 0.10498046875, 0.07861328125, 0.0255126953125, 0.0244140625, 0.1044921875, 0.048095703125, 0.09375, -0.0517578125, 0.1171875, 0.004974365234375, 0.04736328125, 0.03515625, -0.0267333984375, -0.04052734375, -0.07275390625, 0.059814453125, -0.13183...
15,649
15649
Finding the internal angles of a polygon August 15th 2010, 12:59 AM #1 Newbie Joined Aug 2010 Posts 2 Finding the internal angles of a polygon Hi there, This might seem a simple question, but I suck at maths. I need to cut some ply to fill a gap behind my boat kitchen and I have measured the lengths...
4
[ -0.0390625, 0.10205078125, -0.003814697265625, -0.034912109375, -0.020263671875, -0.015869140625, -0.032958984375, 0.05126953125, -0.08642578125, 0.0234375, -0.018310546875, -0.060791015625, -0.06103515625, 0.050537109375, 0.064453125, -0.03076171875, -0.060791015625, 0.0419921875,...
15,650
15650
Second Order DE: Nonlinear Homogeneous Here, for example, since sin(x)= x- (1/6)x^3+ ..., a first approximation would be to replace sin(x) by x: mx"+ cx'- kx= 0. A slightly more sophisticated method is "quadrature": Let u= x' so that x"= u'. By the chain rule, u'= (du/dx)(dx/dt)= u u' so the equation becomes u u'+ cu-...
4
[ -0.07421875, -0.00860595703125, 0.0908203125, 0.04345703125, -0.00885009765625, -0.0162353515625, -0.03662109375, -0.07568359375, -0.02685546875, -0.0162353515625, 0.0810546875, -0.0498046875, -0.01007080078125, -0.056640625, -0.0279541015625, -0.03515625, 0.031982421875, 0.0712890...
15,651
15651
Effects of astigmatism on spectra, coherence and polarization of stochastic electromagnetic beams passing through an astigmatic optical system « journal navigation Effects of astigmatism on spectra, coherence and polarization of stochastic electromagnetic beams passing through an astigmatic optical system Optics Expr...
4
[ 0.06298828125, -0.052978515625, -0.0888671875, 0.033447265625, 0.044189453125, -0.024169921875, 0.0634765625, -0.006011962890625, -0.0546875, -0.005401611328125, 0.0927734375, 0.0198974609375, 0.059326171875, -0.08642578125, -0.0084228515625, 0.005340576171875, 0.07470703125, -0.02...
15,652
15652
Posts from July 2011 on Hydrobates In a previous post I discussed a paper of Lev Bar-Or about the dynamics of the interactions between T cells and macrophages via the cytokines they produce. The model of that paper is a four-dimensional dynamical system with eighteen parameters. In that post I also discussed a paper of...
4
[ -0.1044921875, -0.07861328125, 0.109375, -0.0380859375, -0.05078125, 0.003997802734375, -0.054931640625, 0.044921875, 0.056396484375, 0.01104736328125, -0.0025482177734375, -0.0322265625, 0.1015625, -0.0191650390625, -0.0216064453125, 0.004608154296875, -0.04931640625, -0.013366699...
15,653
15653
Minimum total area February 21st 2009, 12:52 PM #1 Newbie Joined Feb 2009 Posts 2 Minimum total area A garden is being designed to have a planted area of 12m^2. Around the edge there will be a path, 1m wide on two opposite sides and 1.5m wide on the other two opposite sides. Find the dimentions of th...
4
[ 0.0751953125, 0.080078125, 0.0050048828125, 0.00537109375, -0.0203857421875, 0.0390625, -0.0419921875, 0.0791015625, -0.031005859375, 0.037841796875, 0.02734375, 0.010009765625, 0.03662109375, 0.0244140625, -0.04541015625, 0.09228515625, -0.0576171875, 0.052978515625, -0.10742187...
15,654
15654
need help on solving zero equations June 7th 2009, 03:38 PM #1 Newbie Joined Apr 2009 Posts 8 I'm stuck: a. 4(x squared) + 12x + 3 = 0 b. 2x + 1 = 5 divided by (x + 2) c. [(x + 1) divided by x ] - [x divided by (x + 1)] = 0 Here ya go $4x^2+12x+3=0$ using the quadratic fo...
4
[ -0.060791015625, 0.0074462890625, 0.034423828125, 0.034912109375, -0.06201171875, 0.07275390625, -0.0159912109375, -0.004730224609375, 0.0303955078125, -0.0030059814453125, 0.051025390625, -0.060546875, -0.015869140625, 0.06591796875, -0.07080078125, 0.08544921875, -0.0255126953125, ...
15,655
15655
the encyclopedic entry of clp(sigma*) In mathematics , a σ-algebra (or sigma-algebra ) ( sigma is a Greek letter, upper case Σ, lower case σ) over a set X is a nonempty collection Σ of subsets of X (including X itself) that is closed under complementation and countable unions of its members. It is...
4
[ -0.039306640625, -0.044189453125, 0.050537109375, -0.0439453125, -0.06298828125, -0.0103759765625, 0.11279296875, 0.037841796875, 0.0380859375, -0.0419921875, -0.05322265625, -0.0478515625, 0.04443359375, -0.01361083984375, -0.03125, 0.027099609375, 0.0162353515625, 0.0074462890625...
15,656
15656
Wolfram Demonstrations Project n-Sectors of the Angles of a Triangle The -sectors of an angle are the lines that divide the angle into equal parts. In a triangle, the bisectors are collinear, the trisectors lead to Morley's theorem, …. More modestly, this Demonstration provides a way to count the intersection points o...
4
[ -0.00531005859375, -0.0198974609375, -0.0225830078125, 0.0036468505859375, -0.015380859375, -0.007781982421875, 0.061279296875, 0.0059814453125, 0.07958984375, -0.05712890625, 0.002777099609375, -0.1171875, 0.0947265625, -0.0177001953125, 0.0380859375, -0.0546875, -0.06103515625, -...
15,657
15657
Euler Phi-Function May 12th 2009, 02:54 AM #1 Newbie Joined May 2009 Posts 2 Euler Phi-Function Can someone please help me with this proof. Find all n such that phi(n) = n/3. Any help is much appreciated. To start with, note that, since $\phi(n)$ is either 1 or an even number, n must be even...
5
[ -0.056884765625, -0.04443359375, 0.02294921875, -0.011474609375, -0.01190185546875, -0.0040283203125, 0.09814453125, 0.080078125, 0.0017852783203125, -0.0166015625, -0.08349609375, 0.0089111328125, 0.004364013671875, -0.026123046875, -0.0230712890625, -0.036376953125, 0.0148315429687...
15,658
15658
Sigma algebra, open and closed set. October 18th 2010, 09:40 AM #1 Newbie Joined Oct 2010 Posts 10 Sigma algebra, open and closed set. Hi, I have a lot of problems with proving that M is algebra. $M=\{ F \cap G: G,F \subset R$ and F is open set and G is closed set $\}$ Any clues? Eh...I...
4
[ 0.07177734375, -0.0150146484375, 0.01202392578125, 0.042724609375, 0.045166015625, 0.040771484375, 0.1416015625, 0.033203125, -0.050048828125, 0.014892578125, -0.038818359375, -0.06884765625, -0.01092529296875, -0.0703125, -0.0064697265625, 0.05810546875, 0.041015625, -0.0223388671...
15,659
15659
Trig Help Please July 16th 2007, 11:02 AM #1 Trig Help Please This is something I've never really gotten the hang of... If tan 20 = t ; how could the following be expressed in terms of t? a) tan 70 b) tan 40 c) tan 200 d) sec 20 My answers: a) $\frac{1}{t}$ b) $?$ c) $t$ ...
4
[ -0.0400390625, 0.064453125, 0.12890625, 0.033935546875, -0.007232666015625, 0.035400390625, 0.053466796875, 0.04345703125, -0.00153350830078125, 0.0498046875, 0.08203125, -0.08935546875, 0.030029296875, 0.1142578125, 0.01318359375, -0.03173828125, -0.02685546875, -0.001228332519531...
15,660
15660
Patent US6990625 - Burst error pattern generation method, and burst and byte error detection correction apparatus BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a pattern generation method of burst errors existing in a received information, and a detection and correction appara...
4
[ -0.061767578125, 0.002532958984375, -0.016845703125, -0.068359375, -0.06982421875, -0.04541015625, 0.0595703125, 0.00799560546875, 0.01239013671875, 0.00083160400390625, -0.0006256103515625, 0.09619140625, 0.060791015625, -0.109375, -0.048828125, -0.10400390625, -0.00130462646484375,...
15,661
15661
Patent US6549907 - Multi-dimensional database and data cube compression for aggregate query support on numeric dimensions FIELD OF THE INVENTION The present invention concerns the compression of large database and their corresponding OLAP data cubes and provides an improved method and apparatus for efficiently and app...
4
[ -0.05322265625, 0.06982421875, -0.0751953125, 0.0380859375, -0.10107421875, -0.009521484375, 0.0072021484375, 0.033447265625, -0.02001953125, -0.01202392578125, -0.0673828125, 0.06982421875, 0.1416015625, -0.033447265625, -0.032470703125, 0.0308837890625, 0.032470703125, 0.05712890...
15,662
15662
Cardinal exponentiation August 23rd 2009, 08:52 AM #1 Member Joined Jul 2009 Posts 168 Cardinal exponentiation I need to prove the following rules on cardinals: Let κ, μ, ν be cardinal numbers. Prove: 1. κ^(μ + ν) = κ^μ·κ^ν. 2. κ^μ·ν = (κ^μ)^ν. -- How do I start proving such thin...
5
[ 0.06640625, 0.0299072265625, -0.0172119140625, 0.0027313232421875, 0.0155029296875, 0.0322265625, 0.0908203125, -0.050048828125, 0.026611328125, 0.00592041015625, -0.004058837890625, -0.08203125, 0.0322265625, 0.0478515625, -0.04638671875, 0.0576171875, -0.0291748046875, 0.03051757...
15,663
15663
Ornstein-Uhlenbeck equation September 30th 2009, 12:40 PM #1 Ornstein-Uhlenbeck equation I find out the solution of Ornstein-Uhlenbeck equation $\ dX_{t}=\mu X_{t}dt+\sigma bB_{t}\$ is $\ X_{t}=X_{0}e^{\mu t}+\sigma \int_{0}^{t}e^{\mu \left ( t-s \right )}dB_{s}\$ My problem is how to find $\ E\left [ X_...
5
[ -0.06884765625, 0.01513671875, 0.072265625, -0.037841796875, -0.0034942626953125, 0.047119140625, 0.00946044921875, 0.041259765625, -0.005035400390625, 0.064453125, 0.01019287109375, 0.036865234375, 0.0277099609375, -0.045654296875, 0.0224609375, 0.07958984375, 0.01416015625, 0.021...
15,664
15664
GMAT Coordinate Geometry • GMAT Prep (USA) • • GMAT Prep (International) • • Favorite GMAT Articles □ 800score GMAT Course Reviews □ GMAT Course Comparision □ GMAT Essay Tips & Grading from 800score • • Free GMAT Prep □ Free GMAT CAT tes...
4
[ 0.02099609375, -0.034912109375, 0.0654296875, -0.002288818359375, -0.003997802734375, 0.045166015625, -0.0019073486328125, -0.0010833740234375, -0.064453125, 0.000431060791015625, 0.04345703125, -0.029296875, 0.004119873046875, -0.05517578125, 0.0390625, 0.007232666015625, 0.00451660...
15,665
15665
first order differential equation January 26th 2007, 06:58 AM #1 Member Joined Oct 2006 Posts 81 first order differential equation Solve for dy/dx+y/x=1/x I'd like to see the correct way to solve it. I did it a ridiculous way and ended up with the answer, but I don't want to spend so much time next ...
5
[ -0.06591796875, -0.01123046875, 0.078125, 0.0203857421875, 0.03564453125, -0.0498046875, 0.01202392578125, -0.01416015625, 0.006988525390625, 0.004974365234375, 0.0166015625, -0.01446533203125, 0.0028076171875, 0.13671875, 0.064453125, 0.02099609375, -0.0478515625, 0.0028076171875,...
15,666
15666
Determine distribution, Prove Laplace Transform August 14th 2009, 04:36 AM woody198403 Determine distribution, Prove Laplace Transform Consider a game in which a fair coin is tossed indefinitely. Every time heads appears you move 1 metre to the right, and if tails you stay where you are. You start at position 0....
5
[ -0.04052734375, -0.0198974609375, 0.007720947265625, -0.09521484375, 0.0291748046875, 0.019775390625, 0.0008087158203125, 0.045166015625, 0.05908203125, 0.056640625, 0.055908203125, -0.00653076171875, 0.00958251953125, -0.0274658203125, -0.01513671875, -0.09423828125, 0.0167236328125...
15,667
15667
seperable equation December 12th 2010, 01:43 PM #1 Junior Member Joined Mar 2009 Posts 65 seperable equation I reviewing for my final and stuck on this question. dy/dx=y^2/x^2 here is my work dy/y^2=dx/x^2, integrading both sides i get -1/y=-1/x+c, i then multiple each side by negativ...
5
[ -0.08056640625, -0.033935546875, 0.0230712890625, 0.061279296875, 0.006622314453125, -0.06396484375, -0.08740234375, -0.01373291015625, 0.0040283203125, -0.0174560546875, 0.055908203125, -0.041015625, -0.06591796875, 0.11962890625, -0.046630859375, 0.041015625, 0.0206298828125, -0....
15,668
15668
Pre-Image / Image proof March 8th 2012, 07:26 PM monster Pre-Image / Image proof I'm new to topology and have a pretty basic proof to perform but haven't had much experience with proofs and could use some help, Question asks, to prove that if f: A -> B and X is a subset of A prove that X is a subset of...
4
[ -0.0107421875, 0.06201171875, 0.09033203125, 0.0257568359375, 0.0322265625, -0.001617431640625, 0.078125, 0.05029296875, -0.006744384765625, -0.01153564453125, -0.044677734375, -0.0299072265625, 0.08544921875, -0.03076171875, 0.07373046875, 0.05322265625, 0.0216064453125, -0.014648...
15,669
15669
Permutations Matrices Question September 23rd 2010, 04:56 PM Aquameatwad Permutations Matrices Question This is a homework problem i had. Help! Explain why the dot product of x and y equals the dot product of Px and Py. Then From (Px)^T(Py)=x^Ty deduce that P^TP=I for any permutation. With x=(1,2,3) and...
5
[ -0.047119140625, -0.01312255859375, 0.0087890625, -0.08056640625, 0.03955078125, 0.00164794921875, 0.1279296875, -0.043701171875, 0.0172119140625, 0.0157470703125, 0.06640625, 0.091796875, 0.04833984375, 0.03759765625, -0.031494140625, 0.10791015625, -0.08203125, -0.032470703125, ...
15,670
15670
[OT] Function to do x**y for |y|<1 w/o ** operator. swampyankee has asked for the wisdom of the Perl Monks concerning the following question: In another forum (one that's science, not software, oriented), there was a poster asking for programming advice. He's trying to port some code to a PLC, the development environm...
5
[ -0.08935546875, -0.0030517578125, -0.11865234375, -0.0042724609375, -0.06884765625, -0.11669921875, 0.043701171875, -0.0211181640625, -0.007049560546875, -0.000141143798828125, 0.026611328125, -0.0166015625, 0.039306640625, 0.0791015625, 0.0458984375, 0.10302734375, -0.03857421875, ...
15,671
15671
nth root of a complex number November 6th 2010, 08:38 AM #1 Newbie Joined Oct 2010 Posts 19 nth root of a complex number Ok so basically I'm supposed to understand complex numbers (so that we can use them for eigenvalues and eigenvectors), but then someone dropped the ball and we got almost no teaching o...
5
[ -0.0159912109375, 0.039794921875, -0.03466796875, 0.07275390625, -0.08154296875, -0.05810546875, -0.0096435546875, -0.00787353515625, 0.050048828125, -0.0185546875, 0.0908203125, 0.029052734375, 0.0673828125, 0.0849609375, -0.0283203125, 0.0166015625, -0.060791015625, -0.0055236816...
15,672
15672
Patent US6181751 - Multi-stage detection system in digital demodulator BACKGROUND OF THE INVENTION The present invention relates to a multi-stage detection system in a digital demodulator for demodulating a received signal by differential detection. Digital demodulators are widely used in the telecommunication field....
4
[ -0.095703125, 0.037353515625, -0.07470703125, -0.0732421875, 0.0037689208984375, -0.048583984375, 0.0242919921875, 0.00133514404296875, -0.01806640625, 0.023681640625, 0.0301513671875, 0.002105712890625, 0.0380859375, -0.040771484375, -0.004425048828125, -0.09326171875, -0.0119018554...
15,673
15673
The transit light curve Introduction The transit light curve gives an astronomer a wealth of information about the transiting planet as well as the star. It is only for transiting exoplanets that astronomers have been able to get direct estimates of the exoplanet mass and radius. With these parameters at hand astronom...
4
[ 0.045654296875, -0.08349609375, 0.02685546875, 0.1015625, 0.01385498046875, -0.08984375, 0.00921630859375, 0.03271484375, 0.08642578125, -0.0068359375, -0.01202392578125, -0.0003414154052734375, 0.007232666015625, -0.031005859375, -0.045166015625, -0.002655029296875, 0.042236328125, ...
15,674
15674
find a formula, 2 variables September 26th 2009, 07:50 PM #1 Senior Member Joined Jun 2009 Posts 251 find a formula, 2 variables [SOLVED] There's a box with 16 cubic meter volume. Height z, depth y, width x. The sides cost $10/sq meter and top and bottom cost $20/sq meter. Write an equation for the cost ...
4
[ 0.0216064453125, 0.060546875, -0.009033203125, -0.00543212890625, -0.00421142578125, -0.0289306640625, -0.0830078125, 0.059814453125, -0.0673828125, 0.04150390625, -0.0849609375, -0.01031494140625, 0.06201171875, 0.1513671875, 0.0238037109375, 0.0625, -0.00555419921875, 0.100097656...
15,675
15675
A new point of view on Cantor's diagonalization arguments In standard Math The opposite of any given diagonal has to be added to the list, therefore no list of magnitude aleph0 can be in a bijection with R members which means that |R| is uncountable. But look at this: ...0101 and ...1010 are in the list, for example:...
4
[ 0.048828125, 0.0196533203125, -0.12890625, -0.01531982421875, -0.003204345703125, 0.060546875, 0.02734375, 0.0191650390625, -0.0419921875, -0.044189453125, -0.0693359375, -0.0218505859375, 0.0294189453125, 0.0673828125, -0.09375, -0.06640625, 0.02783203125, -0.0654296875, 0.0625,...
15,676
15676
Patent US3859515 - Method and apparatus for signal spectrum analysis by hadamard transform uuucu vacuum I aeclu L Radcliffe, Jr. [ Jan. 7, 1975 METHOD AND APPARATUS FOR SIGNAL SPECTRUM ANALYSIS BY HADAMARD TRANSFORM [75] Inventor: Arthur J. Radcliffe, Jr., Ann Arbor, Mich. [73] Assignee: Burroughs Corporation, Detro...
4
[ -0.1474609375, 0.037841796875, -0.1044921875, -0.040283203125, -0.07275390625, -0.035400390625, -0.062255859375, 0.057861328125, -0.03369140625, 0.0130615234375, -0.003692626953125, 0.060546875, 0.0145263671875, 0.00750732421875, -0.06396484375, 0.045166015625, 0.0081787109375, -0....
15,677
15677
Hermite polynomials I need some help if possible with the following problems.The statements are long so please bare with me. This is concerned with a system of polynomials, the Hermite polynomials, which arise in various applications, in particular in the analysis of the normal distri- bution in probabi...
4
[ -0.119140625, 0.04248046875, 0.035888671875, 0.013427734375, -0.0303955078125, 0.037109375, 0.06591796875, 0.01507568359375, -0.040283203125, -0.08056640625, 0.09814453125, -0.06640625, -0.0203857421875, -0.08251953125, -0.043212890625, -0.045654296875, -0.0498046875, -0.0284423828...
15,678
15678
Math Help January 9th 2009, 03:44 AM #1 Prove: Prove the following inequalities. 1) $\frac{x^2}{y^2} + \frac{y^2}{z^2} + \frac{z^2}{x^2} \ge \frac{x}{z} + \frac{y}{x} + \frac{z}{y}$ 2) $\frac{x^2}{y^2} + \frac{y^2}{z^2} + \frac{z^2}{x^2} \ge \frac{x}{y} + \frac{y}{z} + \frac{z}{x}$ 1) ...
5
[ -0.06884765625, 0.031494140625, 0.058837890625, 0.031494140625, 0.00982666015625, 0.00732421875, -0.047119140625, 0.01251220703125, -0.015380859375, 0.0011138916015625, -0.115234375, 0.0419921875, 0.06103515625, 0.0157470703125, -0.0595703125, 0.0732421875, 0.043701171875, 0.001029...
15,679
15679
integration by substitution xe^x^2 October 5th 2008, 09:44 PM Craka integration by substitution xe^x^2 Question is to calculate the integral $\int\limits_0^2 {xe^{x^2 } dx} =$ This is what I have done, however looks to be incorrect. I let $u = e^{x^2 }$ and so $\begin{array}{l}<br /> \frac{{du}}{{...
5
[ 0.050048828125, 0.0020751953125, 0.06298828125, -0.0250244140625, 0.0137939453125, -0.036376953125, -0.05224609375, 0.004638671875, -0.030029296875, 0.00927734375, 0.053955078125, -0.04638671875, -0.00555419921875, 0.01055908203125, 0.0250244140625, 0.006378173828125, 0.02978515625, ...
15,680
15680
Proving countability from surjectivity September 20th 2007, 06:32 PM #1 Newbie Joined Sep 2007 Posts 2 Proving countability from surjectivity let f: S --> T be a surjective function if S is countable, prove that T is countable I see that f(S) = T, but and I know that there is a surjection from t...
5
[ -0.041259765625, -0.0015411376953125, -0.06298828125, 0.0263671875, -0.029052734375, 0.115234375, 0.08740234375, 0.05908203125, -0.00921630859375, 0.000011563301086425781, -0.02783203125, 0.032470703125, 0.07275390625, 0.0247802734375, -0.019775390625, -0.007659912109375, 0.043212890...
15,681
15681
Ideal norms in a pid May 18th 2006, 12:47 PM DMT Ideal norms in a pid Is it true that if two ideals in a pid have the same norm then they are in fact the same ideal (even if being generated by different elements)? For example, I have a problem asking me to find all ideal in a certain integer ring with a giv...
5
[ -0.068359375, -0.037841796875, -0.043701171875, -0.007354736328125, 0.046142578125, -0.076171875, 0.0289306640625, -0.017578125, 0.00017547607421875, -0.09130859375, 0.049072265625, 0.05126953125, 0.1484375, -0.07421875, -0.055908203125, -0.002532958984375, -0.02490234375, -0.03417...
15,682
15682
Proving y^2=-4x May 27th 2010, 04:48 AM chaosier Proving y^2=-4x I am given equations with coefficients related by a common ratio, thus a geometric sequence, such as 2x+4y=8 3x+12y=48 I plotted numerous lines which obey this geometric pattern and discovered that there is a curve which through trial...
5
[ -0.0264892578125, -0.00494384765625, -0.0341796875, -0.017822265625, -0.076171875, 0.0140380859375, -0.028076171875, -0.023681640625, 0.0247802734375, -0.049560546875, 0.09228515625, 0.030029296875, 0.01287841796875, 0.06396484375, -0.01055908203125, 0.140625, -0.07568359375, -0.05...
15,683
15683
Intgration again - Trig Sub October 31st 2007, 01:48 PM #1 Newbie Joined Oct 2007 Posts 10 Intgration again - Trig Sub solve: $\int \frac{dx}{x^2 (\sqrt{x^2+1})}$ I use these trig subs: $x=tan\theta$ $dx=sec^2 \theta \\d\theta$ after substituting and simplifying I end up here: ...
5
[ 0.0135498046875, -0.0107421875, 0.09814453125, 0.043212890625, 0.0211181640625, -0.044677734375, -0.04296875, -0.02734375, 0.035888671875, -0.020751953125, 0.08935546875, 0.0216064453125, -0.040283203125, 0.11669921875, -0.05322265625, -0.020751953125, 0.052490234375, 0.00765991210...
15,684
15684
User:Gwern/kenn From HaskellWiki < User:Gwern (Difference between revisions) Gwern (Talk | contribs) Gwern (Talk | contribs) (→‎First-Order Logic: again remove the \\) ← Older edit ...
4
[ -0.060546875, 0.06298828125, 0.052978515625, 0.0186767578125, -0.0859375, -0.0576171875, 0.034912109375, -0.00836181640625, 0.08349609375, 0.0152587890625, 0.027587890625, 0.052001953125, 0.042236328125, -0.059814453125, 0.001373291015625, 0.04345703125, -0.0296630859375, -0.061035...
15,685
15685
[SOLVED] Quadrilaterals December 4th 2005, 03:19 PM chana [SOLVED] Quadrilaterals in the parallelogram DEFG, the measures of angle D and angle E are in the ratio of 1:4. The measure of angle F in degrees is December 4th 2005, 08:39 PM CaptainBlack Quote: Originally Posted by chana in the parall...
4
[ 0.04541015625, 0.07080078125, 0.0186767578125, -0.08056640625, -0.0301513671875, 0.04150390625, 0.02685546875, 0.00970458984375, 0.060791015625, 0.034912109375, 0.03271484375, -0.08056640625, -0.000759124755859375, -0.002105712890625, 0.00823974609375, -0.08544921875, -0.046875, 0....
15,686
15686
Two Infinite Series Problems March 25th 2010, 05:10 PM #1 Junior Member Joined Jan 2010 Posts 28 Two Infinite Series Problems I have two problems that I can't seem to get. Problem 1. Use the ratio test to determine whether the series converges or diverges. Explain how the test permits you to draw yo...
5
[ -0.0234375, -0.0693359375, -0.0322265625, 0.00543212890625, -0.01263427734375, -0.01434326171875, -0.061767578125, -0.036376953125, 0.00897216796875, 0.0223388671875, -0.00970458984375, -0.0213623046875, -0.046142578125, 0.046142578125, -0.0032501220703125, -0.00714111328125, -0.0032...
15,687
15687
check solution - langrange multipliers October 21st 2008, 02:25 PM dopi check solution - langrange multipliers i need find an expression in terms of v for the minimum value of (x^t)x subject to the constraint (v^t)x = k v is a fixed vector in R^n k is a real constant I need to use langrange multitp...
5
[ 0.03076171875, 0.0052490234375, 0.0125732421875, -0.1171875, 0.01202392578125, 0.037109375, 0.0205078125, -0.01519775390625, -0.019775390625, 0.09130859375, 0.035888671875, -0.00958251953125, -0.0267333984375, 0.05859375, -0.0033416748046875, 0.037353515625, 0.0703125, 0.0068969726...
15,688
15688
Machine Learning and Its Applications to Biology Citation: Tarca AL, Carey VJ, Chen X-w, Romero R, Drăghici S (2007) Machine Learning and Its Applications to Biology. PLoS Comput Biol 3(6): e116. doi:10.1371/journal.pcbi.0030116 Editor: Fran Lewitter, Whitehead Institute, United States of America Published: June 29, ...
4
[ -0.091796875, -0.04833984375, -0.0181884765625, -0.09521484375, 0.07177734375, 0.01226806640625, -0.0732421875, -0.01275634765625, 0.018798828125, 0.0299072265625, -0.0034942626953125, 0.0177001953125, -0.0185546875, -0.0179443359375, -0.08154296875, 0.04248046875, -0.0062255859375, ...
15,689
15689
easy stuff! January 30th 2007, 09:52 PM Nick744 easy stuff! Hello! This is my final year in high-school so I think I may find this forum handy, get ready to be annoyed at me due to uber use of the forums. :p I have a question to begin. A travel agency calculates the expense E of organising a holid...
4
[ 0.057861328125, 0.076171875, 0.005645751953125, 0.018798828125, -0.0223388671875, 0.026611328125, 0.0888671875, 0.0517578125, -0.03173828125, 0.0654296875, 0.034912109375, -0.060791015625, 0.0245361328125, 0.050537109375, -0.0267333984375, 0.02490234375, -0.068359375, 0.025390625, ...
15,690
15690
Augmented matrix January 30th 2007, 11:31 PM #1 Member Joined Jun 2006 Posts 165 The following matrix is obtained from a augmented matrix, system of equations. 1 0 3 20 0 1 2 -2 0 0 1 4 my answer is 20,-2,4 is this right, thanks for checking my answer. You have: x_1 + 3x_3 = 20 x...
4
[ -0.05126953125, -0.00506591796875, -0.05908203125, -0.048828125, 0.10400390625, -0.045654296875, 0.0233154296875, -0.0498046875, -0.06787109375, 0.0089111328125, 0.09619140625, -0.0106201171875, 0.06396484375, -0.04052734375, -0.07861328125, 0.036865234375, -0.0859375, -0.05078125,...
15,691
15691
Circular Motion (finding speed) 1. The problem statement, all variables and given/known data A ball of mass 0.23 kg is attached securely to a string, then whirled at a constant speed in a vertical radius of 0.75 m. Calculate the minimum speed of the ball at the top of the path if it is to follow a complete circle. 2....
4
[ 0.0859375, 0.09765625, -0.04638671875, -0.032470703125, -0.00921630859375, -0.0169677734375, -0.060546875, 0.1513671875, 0.0177001953125, 0.039794921875, 0.0546875, 0.017333984375, -0.012451171875, 0.0179443359375, -0.006378173828125, 0.041015625, 0.0233154296875, 0.0218505859375, ...
15,692
15692
Experimental Investigation and Passive Flow Control of a Cavitating Centrifugal Pump International Journal of Rotating Machinery Volume 2012 (2012), Article ID 248082, 8 pages http://dx.doi.org/10.1155/2012/248082 Research Article Experimental Investigation and Passive Flow Control of a Cavitating Centrifugal Pump F...
4
[ -0.06884765625, -0.0206298828125, -0.039306640625, -0.05859375, -0.0255126953125, -0.03173828125, -0.04345703125, 0.045166015625, 0.00160980224609375, 0.006195068359375, -0.00714111328125, 0.04150390625, 0.0712890625, -0.033935546875, -0.0673828125, 0.050048828125, -0.0546875, 0.06...
15,693
15693
Mean Squared Error GeneXproTools 4.0 implements the Mean Squared Error (MSE) fitness function both with and without parsimony pressure. The version with parsimony pressure puts a little pressure on the size of the evolving solutions, allowing the discovery of more compact models. The MSE fitness function of GeneXproTo...
4
[ -0.04638671875, -0.01251220703125, 0.0184326171875, 0.00653076171875, 0.0400390625, -0.011474609375, -0.00421142578125, 0.1171875, -0.0225830078125, -0.005035400390625, -0.03662109375, -0.054931640625, 0.053955078125, -0.01397705078125, -0.0225830078125, -0.020263671875, -0.025756835...
15,694
15694
Re: Re: Binomial Expansion in reply to Re: Binomial Expansion ...
4
[ -0.021484375, 0.014892578125, 0.022705078125, 0.07958984375, 0.0113525390625, 0.022705078125, 0.06982421875, 0.039794921875, 0.0712890625, 0.059326171875, -0.1552734375, -0.014892578125, -0.00160980224609375, 0.068359375, -0.033935546875, -0.0712890625, -0.0189208984375, 0.02111816...
15,695
15695
User:Allison K. Alix/Notebook/Thesis Research/2013/10/29 From OpenWetWare (Difference between revisions) (→Calculations) (→Calculations) ← Previous diff Next diff → Line 70: Line 70: = 1.42x10<sup>-15</sup>L = 1.42x10<sup>-15</sup>L + ...
5
[ -0.0791015625, 0.0869140625, 0.0264892578125, -0.017333984375, 0.0218505859375, -0.05908203125, -0.0830078125, 0.0693359375, 0.0181884765625, 0.0390625, 0.08544921875, 0.0235595703125, 0.00176239013671875, -0.0213623046875, -0.0771484375, -0.0262451171875, -0.047119140625, -0.04272...
15,696
15696
The Mechanical Bidomain Model: A Review ISRN Tissue Engineering Volume 2013 (2013), Article ID 863689, 8 pages http://dx.doi.org/10.1155/2013/863689 Review Article The Mechanical Bidomain Model: A Review Department of Physics, Oakland University, Rochester, MI 48309, USA Received 12 September 2012; Accepted 18 Octo...
4
[ -0.07958984375, -0.0390625, 0.018798828125, 0.0172119140625, -0.0751953125, -0.06201171875, -0.037109375, 0.06884765625, 0.11962890625, 0.05322265625, -0.0301513671875, 0.036865234375, -0.0517578125, 0.12060546875, -0.059814453125, -0.05322265625, -0.0859375, 0.03173828125, -0.12...
15,697
15697
Poisson's equation April 6th 2009, 05:28 PM gsds Poisson's equation where initial conditions are w(x,0) = w(x,b) = w(0,y) = w(a,y) = 0 poisson's equation is d2w/dx2+d2w/dy2 = f(x,y) if we assume a 1D eigenfunction expansion: w(x,y) = Sum(a_n(y) * sin(n*pi*x/a) Obtain the ode and BCs for each a...
4
[ -0.1357421875, -0.02001953125, -0.003814697265625, 0.02880859375, -0.041259765625, 0.034423828125, 0.021240234375, -0.0634765625, 0.00628662109375, -0.0703125, 0.11865234375, -0.00848388671875, -0.080078125, -0.0262451171875, 0.039306640625, 0.041015625, -0.07177734375, -0.08984375...
15,698
15698
cyclical system of equations January 26th 2013, 06:38 AM darence cyclical system of equations I need help about this: I a,b,c are real numbers such that $(b-1)^2-4ac<0$ , proof that system $ax^2+bx+c=y\\ ay^2+by+c=z \\ az^2+bz+c=x$ don't have any solution in set of real numbers. January 26th 2013...
4
[ -0.1123046875, -0.03369140625, -0.0145263671875, -0.015869140625, -0.0830078125, 0.08154296875, -0.025390625, 0.0106201171875, 0.05224609375, -0.0133056640625, 0.0791015625, 0.029052734375, 0.0712890625, 0.007110595703125, -0.07373046875, 0.06494140625, -0.022705078125, -0.07421875...
15,699
15699