content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Can you find the square root of n using only +, -, :, x ?
logics
When I say can you find x =[itex]\sqrt{635²}[/itex] using only logics I mean using only your mind, knowing by heart the times table, using no calculator, no pencil and paper.
I guess...
[itex]635^2=403,225[/itex] just for reference.
So we're trying ... | 4 | [
0.0286865234375,
0.07275390625,
-0.037109375,
-0.047119140625,
-0.04541015625,
0.0712890625,
0.00604248046875,
0.0311279296875,
0.04931640625,
0.0172119140625,
-0.06982421875,
0.0220947265625,
0.027587890625,
0.058837890625,
0.006744384765625,
-0.04052734375,
-0.068359375,
-0.03857... | 17,000 | 17000 | |
Algorithm Design Problem
May 9th 2012, 11:16 AM #1
The problem is as follows:
---------------------------------------------------------------------------------------------------------------------------------------------------
You are given a list of positive integers along with a sequence of operations fro... | 5 | [
-0.058349609375,
0.11669921875,
0.0279541015625,
-0.09130859375,
-0.04736328125,
-0.0164794921875,
0.049072265625,
-0.048828125,
-0.05615234375,
-0.036865234375,
-0.11083984375,
-0.01141357421875,
0.057861328125,
0.0220947265625,
-0.0264892578125,
0.061767578125,
0.036865234375,
0.... | 17,001 | 17001 | |
Moment of inertia
Similarly, for the sphere, set up spherical coordinates so that the sphere, of radius R, has center at (0,0,0) and the axis of rotation is the z-axis. Then the distance from each point to the axis is
just the projection to the xy-plane, [tex]\rho sin\phi[/tex] and differential of volume is [tex]\rho^2... | 5 | [
0.04345703125,
0.00628662109375,
-0.029296875,
-0.0810546875,
0.0203857421875,
0.0018157958984375,
0.0174560546875,
-0.00457763671875,
0.0033416748046875,
0.024658203125,
0.0439453125,
0.0142822265625,
0.054443359375,
0.03125,
-0.05224609375,
0.0040283203125,
-0.0137939453125,
0.04... | 17,002 | 17002 | |
Find the surface area S
December 8th 2010, 11:30 PM #1
Senior Member
Joined
Oct 2009
Posts
295
Thanks
9
Find the surface area S
S is the upper cap cut from the sphere $x^2+y^2+z^2=25$ by the cylinder $x^2+y^2=16$
Ok, so
$\displaystyle \iint_{R} \frac{|abla f|}{|abla f * p|}dA$
$R: x^2+... | 5 | [
0.0203857421875,
0.0908203125,
0.0123291015625,
-0.072265625,
0.0908203125,
-0.0299072265625,
0.004852294921875,
0.12109375,
-0.1025390625,
0.0849609375,
-0.0218505859375,
0.01202392578125,
-0.03369140625,
0.09228515625,
-0.0361328125,
0.0277099609375,
-0.0286865234375,
-0.02832031... | 17,003 | 17003 | |
Solve the system
August 19th 2009, 12:06 PM #1
Solve the system
Solve the system :
$\left\{ \begin{array}{l}<br /> x^y = y^x \\ <br /> a^x = b^y \\ <br /> \end{array} \right.$
I hope that you like logarithms. Hopefully there may be an easier solution than mine!
From equation #2
$x=log_a(b^y)=yl... | 5 | [
0.01043701171875,
-0.05859375,
-0.035888671875,
-0.00506591796875,
-0.01336669921875,
-0.05078125,
0.038818359375,
-0.037841796875,
-0.03564453125,
0.0556640625,
0.024169921875,
0.02392578125,
0.052490234375,
0.0341796875,
0.12353515625,
0.146484375,
-0.12158203125,
0.035888671875,... | 17,004 | 17004 | |
Finding Primes
Comment on Finding Primes
Download Code
Re: Finding Primes
by Zaxo (Archbishop) on Aug 14, 2003 at 01:07 UTC
Any two 200 ... | 4 | [
-0.0196533203125,
-0.0035858154296875,
-0.06787109375,
-0.034912109375,
0.03857421875,
-0.035888671875,
-0.0361328125,
0.07373046875,
-0.11376953125,
0.005157470703125,
-0.04296875,
0.02490234375,
0.01092529296875,
0.045654296875,
-0.03369140625,
-0.083984375,
-0.0361328125,
-0.027... | 17,005 | 17005 | |
Determine whether or not something is a subspace
kesun
My understanding of the subspace still isn't solid enough, so I want to know what I know so far is at least correct.
By definition, a set of vectors S of R^n is called a subspace of R^n iff for all vectors (I will call them x):
1) (x+y) [tex]\in[/tex] S and
2) ... | 5 | [
-0.0238037109375,
-0.048095703125,
-0.068359375,
-0.02783203125,
0.057861328125,
0.00653076171875,
0.07177734375,
-0.1455078125,
-0.005584716796875,
-0.072265625,
-0.036376953125,
-0.040283203125,
-0.002593994140625,
-0.053466796875,
-0.00579833984375,
-0.043701171875,
0.030151367187... | 17,006 | 17006 | |
How many integers n are there such that 0 ≤ n ≤ 720 and n^2 ≡ 1 (mod 720)?
November 16th 2010, 07:36 PM #1
Junior Member
Joined
Jul 2010
From
NJ
Posts
68
How many integers n are there such that 0 ≤ n ≤ 720 and n^2 ≡ 1 (mod 720)?
This is my approach, but I think I'm wrong.
How many integers n are... | 4 | [
0.006927490234375,
0.048095703125,
-0.04296875,
0.01190185546875,
-0.03369140625,
0.048095703125,
-0.00921630859375,
0.053466796875,
-0.045166015625,
-0.06884765625,
-0.09521484375,
0.05419921875,
0.06591796875,
-0.005126953125,
-0.0556640625,
-0.0262451171875,
0.0194091796875,
-0.... | 17,007 | 17007 | |
Proving an improper integral divergent.
April 6th 2010, 12:33 PM #1
Junior Member
Joined
Feb 2008
Posts
62
Proving an improper integral divergent.
Can you refresh my memory on how to easily tell an integral like this one is divergent? It has something to do with the denominator being raised to a power, b... | 5 | [
-0.0003566741943359375,
-0.034423828125,
0.0322265625,
-0.0181884765625,
0.00750732421875,
-0.15234375,
-0.03076171875,
-0.03125,
0.044921875,
-0.037353515625,
-0.06005859375,
0.046630859375,
-0.0225830078125,
0.07373046875,
-0.0380859375,
0.00836181640625,
0.07861328125,
-0.046386... | 17,008 | 17008 | |
[SOLVED] Wave equation solution coefficients (all real?)
November 5th 2009, 06:54 AM
jfortiv
[SOLVED] Wave equation solution coefficients (all real?)
Hello,
I'm trying to understand the solution to the wave equation for an Euler-Bernoulli beam as written in Inman's "Engineering Vibration" text. The solution... | 5 | [
-0.09521484375,
-0.0184326171875,
0.0181884765625,
0.03466796875,
-0.018798828125,
0.041259765625,
0.0244140625,
-0.0194091796875,
-0.07275390625,
0.006744384765625,
0.10107421875,
-0.10986328125,
-0.00160980224609375,
-0.05078125,
-0.00162506103515625,
0.1513671875,
-0.0090942382812... | 17,009 | 17009 | |
Bifurcation in a Discrete Competition System
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 193143, 7 pages
http://dx.doi.org/10.1155/2014/193143
Research Article
Bifurcation in a Discrete Competition System
School of Science, Tianjin University of Commerce, Tianjin 300134, China
Received 9 ... | 5 | [
-0.0022735595703125,
-0.0040283203125,
0.07275390625,
-0.06201171875,
-0.0208740234375,
-0.05322265625,
-0.01953125,
0.0166015625,
0.1201171875,
0.02734375,
0.0390625,
-0.009521484375,
0.0084228515625,
-0.0174560546875,
-0.0118408203125,
0.00799560546875,
-0.07275390625,
-0.0615234... | 17,010 | 17010 | |
Fermat's equation.
rayb07
Sorry, I don't have a proof, there's a simple error in it. My bad.
Not bad!! It could be the new idea which Kummer asked for. Maybe, you just didn't follow it through properly.
You showed that if [tex] y^3[/tex] is an new candidate for Fermat's equation where [tex]y > 3[/tex] then there i... | 5 | [
-0.044189453125,
0.010498046875,
-0.046875,
0.07666015625,
-0.0283203125,
0.0703125,
0.08447265625,
-0.01336669921875,
0.003021240234375,
-0.130859375,
-0.004486083984375,
0.0164794921875,
-0.0673828125,
0.09228515625,
0.0213623046875,
0.03564453125,
-0.0247802734375,
0.068359375,
... | 17,011 | 17011 | |
How to reduce a distributed load to a resultant force
benanderson08: Let's say the pipe has an inside diameter of d1. Let's say the slurry inside the pipe has a depth of h at the pipe centerline, and the slurry depth is constant along the pipe length.
Therefore, the pipe inside radius is r = 0.5*d1. Looking down the ce... | 5 | [
-0.031005859375,
0.04052734375,
0.0084228515625,
0.01116943359375,
-0.021728515625,
-0.12255859375,
-0.035400390625,
0.134765625,
-0.03271484375,
-0.01025390625,
-0.091796875,
-0.024169921875,
0.033935546875,
-0.010498046875,
-0.045166015625,
0.052001953125,
-0.0216064453125,
0.062... | 17,012 | 17012 | |
[SOLVED] Derivative Quotient Rule
October 20th 2009, 12:52 PM
rawkstar
[SOLVED] Derivative Quotient Rule
I'm having trouble using the quotient rule of the derivative (i know how to do the power rule though). I'm not sure how I simplify in order to get the final answer/derivative. I need to use it in
order to... | 4 | [
-0.003265380859375,
0.0703125,
0.0458984375,
0.01495361328125,
0.010498046875,
-0.016845703125,
-0.007232666015625,
0.02685546875,
0.039794921875,
0.01171875,
0.1044921875,
-0.017333984375,
0.002960205078125,
0.037841796875,
0.01220703125,
0.07763671875,
-0.055419921875,
-0.0366210... | 17,013 | 17013 | |
Matrix Factorizations
Compute the QR factorization of A, using standard LAPACK subroutines. For example, given the matrix A = [1, 2; 3, 4],
returns
Q =
-0.31623 -0.94868
-0.94868 0.31623
R =
-3.16228 -4.42719
0.00000 -0.63246
The qr factorization has applications... | 5 | [
-0.037841796875,
0.0255126953125,
-0.09423828125,
-0.06982421875,
0.0074462890625,
-0.0096435546875,
-0.1083984375,
-0.01165771484375,
0.0301513671875,
0.0045166015625,
0.0286865234375,
0.083984375,
0.0322265625,
0.10107421875,
-0.022705078125,
0.056884765625,
-0.019287109375,
0.02... | 17,014 | 17014 | |
Math Help
January 10th 2009, 08:25 AM #1
Member
Joined
Oct 2008
Posts
158
calc help
Make a substitution to express the integrand as a rational function and then evaluate the integral.
integral from 16 to 9 of (square root x)/ (x-4) dx (Let u= square root of x.)
Thanks
$\int_9^{16} \frac{\sq... | 4 | [
0.053466796875,
0.003326416015625,
0.0126953125,
-0.052490234375,
-0.021484375,
-0.0113525390625,
-0.072265625,
0.0010223388671875,
-0.047607421875,
-0.06005859375,
0.05615234375,
-0.040771484375,
-0.05029296875,
0.0830078125,
-0.0546875,
0.016845703125,
0.0419921875,
-0.0224609375... | 17,015 | 17015 | |
Set A consists of all even integers between 2 and 100
Question Stats:
68%32% (01:42)based on 105 sessions
punyadeep wrote:
Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set A by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is
d... | 4 | [
0.06591796875,
0.0556640625,
0.0145263671875,
-0.072265625,
-0.029052734375,
0.045166015625,
0.0299072265625,
0.0791015625,
-0.032470703125,
0.06982421875,
0.014892578125,
-0.036376953125,
0.10107421875,
-0.01263427734375,
0.03466796875,
-0.0289306640625,
-0.01190185546875,
-0.0615... | 17,016 | 17016 | |
solvable congruent
April 20th 2012, 06:48 AM
alexandrabel90
solvable congruent
How do you proof that -1 congruent to x^4 mod p is solvable iff (-1)^(p-1/d) is congruent to 1 mod p where d= gcd(4,p-1)?
i was trying to use euler theorem that (-1)^(p-1) is congruent to 1 mod p then how else can i continue?
Ap... | 5 | [
0.026611328125,
-0.07080078125,
0.06494140625,
-0.032470703125,
0.017578125,
-0.0498046875,
0.0556640625,
0.0703125,
-0.0087890625,
0.0034332275390625,
0.0028228759765625,
0.007110595703125,
0.025390625,
0.07275390625,
-0.06689453125,
-0.038818359375,
-0.015869140625,
-0.0573730468... | 17,017 | 17017 | |
cryptography help
May 14th 2008, 03:07 AM #1
cryptography help
1) Your RSA public key is n=115. Bob sends you an encrypted letter of
the alphabet, which he encrypted by cubing it modulo n.
The transmission you received from Bob is 03. Use your decryption key
to figure out what letter of the alphabet B... | 5 | [
-0.0001239776611328125,
-0.007598876953125,
-0.0390625,
-0.0250244140625,
-0.026611328125,
0.029052734375,
0.0546875,
0.0439453125,
-0.044677734375,
0.0255126953125,
-0.005401611328125,
0.0986328125,
0.0693359375,
-0.0908203125,
-0.0047607421875,
-0.004638671875,
-0.0213623046875,
... | 17,018 | 17018 | |
GMAT Algebra
• 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 test
□... | 4 | [
0.022705078125,
-0.02978515625,
0.06689453125,
0.000850677490234375,
-0.01806640625,
0.058349609375,
0.010986328125,
0.0107421875,
-0.08935546875,
-0.00579833984375,
0.050537109375,
-0.0283203125,
0.0026092529296875,
-0.080078125,
0.034912109375,
0.025390625,
0.0264892578125,
-0.01... | 17,019 | 17019 | |
An Introduction to Banach Space Theory
Robert E. Megginson
Graduat... | 4 | [
-0.09326171875,
-0.0111083984375,
0.050537109375,
0.00823974609375,
-0.032470703125,
0.08984375,
0.10595703125,
-0.00098419189453125,
0.05078125,
-0.00994873046875,
0.00390625,
0.060546875,
-0.0213623046875,
-0.08984375,
-0.021240234375,
0.0164794921875,
-0.06005859375,
0.002120971... | 17,020 | 17020 | |
If m and n are positive integers such that m is a factor of
Author Message
TAGS:
If m and n are positive integers such that m is a factor of [#permalink] 04 Oct 2011, 19:59
... | 4 | [
0.0908203125,
0.044921875,
0.05615234375,
0.05419921875,
0.015625,
0.0240478515625,
0.03759765625,
0.050537109375,
-0.046630859375,
0.0172119140625,
0.023681640625,
-0.03173828125,
0.072265625,
0.002960205078125,
-0.002349853515625,
0.13671875,
0.052978515625,
-0.018310546875,
-0... | 17,021 | 17021 | |
A fast feedback method to design easy-molding freeform optical system with uniform illuminance and high light control efficiency
« journal navigation
A fast feedback method to design easy-molding freeform optical system with uniform illuminance and high light control efficiency
Optics Express, Vol. 21, Issue 1, pp. ... | 4 | [
0.042724609375,
-0.018798828125,
-0.0009002685546875,
-0.00970458984375,
0.011962890625,
-0.03466796875,
0.01251220703125,
0.0390625,
0.01190185546875,
0.0615234375,
0.00189971923828125,
0.021728515625,
0.0228271484375,
-0.10205078125,
0.028076171875,
0.000278472900390625,
-0.0051879... | 17,022 | 17022 | |
Separation of variables
January 11th 2008, 06:14 AM
olip
Separation of variables
Hi,
Need to solve the following equation, but i can't seem to separate the variables correctly so i can integrate through.
dx/dt = t - x
cheers
Oli
January 11th 2008, 06:19 AM
colby2152
Quote:
This i... | 5 | [
-0.130859375,
0.016845703125,
0.06689453125,
0.001068115234375,
0.060791015625,
-0.021728515625,
0.0301513671875,
-0.0341796875,
-0.016357421875,
0.06884765625,
0.0947265625,
-0.01318359375,
0.018798828125,
-0.00860595703125,
0.0301513671875,
-0.01171875,
-0.005767822265625,
-0.014... | 17,023 | 17023 | |
Conditional Expectation
December 7th 2007, 07:27 PM
matheye
Conditional Expectation
Hi there, could you help me out with the following question,
X~N(0,s1), Y~N(0,s2), cov(X,Y)=r, What is the law of E[X-Y|2X+Y]?
Many thanks
December 8th 2007, 10:35 AM
Constatine11
Quote:
I may be misinterpr... | 5 | [
-0.027099609375,
-0.0208740234375,
0.002685546875,
0.0021820068359375,
0.09130859375,
0.0181884765625,
0.01708984375,
0.06884765625,
-0.0908203125,
0.031005859375,
0.00026702880859375,
0.05419921875,
0.0703125,
-0.033935546875,
-0.01446533203125,
-0.007232666015625,
0.0045166015625,
... | 17,024 | 17024 | |
group theory abstract algebra
October 23rd 2009, 03:06 PM
bettywhit
group theory abstract algebra
consider all the rationals except 1 with the binary operation a*b=a+b-ab for any a,b elements in Q\ {1}.
show that this is a group.
why is 1 excluded
October 23rd 2009, 03:39 PM
proscientia
Verify tha... | 5 | [
-0.11279296875,
0.0174560546875,
-0.0294189453125,
0.038818359375,
-0.115234375,
0.00872802734375,
0.091796875,
-0.09375,
0.026611328125,
-0.076171875,
-0.0283203125,
-0.05810546875,
0.06884765625,
-0.0203857421875,
-0.06494140625,
0.01397705078125,
-0.049560546875,
-0.0693359375,
... | 17,025 | 17025 | |
need help in this permutation proof
September 21st 2008, 08:11 PM #1
Member
Joined
Mar 2008
Posts
84
need help in this permutation proof
Can anyone help me in this proof ?
If A and B are in S_n, then $ABA^{-1}$ is the permutation that has the same cycle structure as B and that is obtained by applyin... | 5 | [
-0.00372314453125,
-0.005950927734375,
0.0849609375,
-0.06396484375,
-0.038818359375,
0.027587890625,
0.06787109375,
-0.0296630859375,
-0.018310546875,
-0.064453125,
0.0157470703125,
-0.00836181640625,
0.087890625,
-0.091796875,
-0.027099609375,
0.1826171875,
0.0869140625,
0.040039... | 17,026 | 17026 | |
Math Help
May 3rd 2010, 05:47 AM #1
Member
Joined
Apr 2010
Posts
135
trig ratios
write each of the following as the ratios of positive acute angles.
in the examples i understand that $sin 330 = -sin 30$
but can someone please explain to me how it is that
$cos (3/4) \pi$= $-cos (1/4) \pi$
... | 4 | [
-0.052734375,
-0.01348876953125,
-0.03857421875,
0.01214599609375,
-0.0179443359375,
-0.0120849609375,
-0.0235595703125,
0.044189453125,
0.048583984375,
-0.013916015625,
0.057373046875,
-0.052001953125,
0.11669921875,
0.031494140625,
0.107421875,
-0.1025390625,
0.051025390625,
0.00... | 17,027 | 17027 | |
Trig Integration
December 30th 2010, 11:02 AM #1
Junior Member
Joined
Sep 2010
Posts
36
Trig Integration
I have to integrate sin^2xcos^5x dx
I've come to the answer of -t^6/6 +t^11/11 + C where t= cosx
Im worried its incorrect
If you ever need to check your integration, use Wolfram.
Y... | 5 | [
-0.05029296875,
0.0478515625,
0.040771484375,
0.044921875,
-0.00543212890625,
-0.0272216796875,
-0.06201171875,
-0.05322265625,
-0.034423828125,
0.0233154296875,
0.01361083984375,
0.01397705078125,
-0.055908203125,
-0.00439453125,
-0.05224609375,
-0.0191650390625,
0.0625,
-0.004241... | 17,028 | 17028 | |
Nonlinear ODE by an infinite series expansion
I have to solve the nonlinear DE y'=x²-y² by using an infinite series expansion y= $\sum_{n=0}^{\infty} a_n x^n$, but I've tried in vain. Maybe a change of variables would make it easier, but I don't
know which one. Thanks
I suppose you are not really interested in this bu... | 5 | [
-0.1162109375,
-0.01025390625,
0.033203125,
0.130859375,
-0.048583984375,
0.0203857421875,
-0.03955078125,
-0.046142578125,
0.0625,
-0.00946044921875,
0.06689453125,
0.06591796875,
-0.0751953125,
-0.01611328125,
-0.0556640625,
0.06689453125,
0.05078125,
-0.047607421875,
0.1215820... | 17,029 | 17029 | |
Variometer Design
A variometer consists usually of two coaxial coils, connected in series, where the coils relative position can be varied in some way. If L[1] and L[2] are the self-inductances of the first and second
coil and L[m] is the mutual inductance between the two, the total inductance can be written as L[tot]... | 4 | [
-0.0311279296875,
0.007659912109375,
-0.039794921875,
-0.051513671875,
0.02880859375,
0.017333984375,
-0.0458984375,
0.08154296875,
0.05517578125,
-0.12109375,
0.0458984375,
0.01556396484375,
0.08154296875,
0.0458984375,
-0.017578125,
0.00927734375,
-0.05322265625,
0.032958984375,
... | 17,030 | 17030 | |
Help with unit step function and laplace transform
May 14th 2011, 12:46 PM
Jeonsah
Help with unit step function and laplace transform
I could not figure out how to get the LaTex to look right with piece wise functions, so I just made a picture. Here are the 2 problems:
http://i909.photobucket.com/albums/a..... | 5 | [
-0.10546875,
0.00830078125,
0.022705078125,
-0.059814453125,
0.046875,
0.057861328125,
-0.05126953125,
-0.0277099609375,
-0.043212890625,
0.003509521484375,
0.0947265625,
-0.0128173828125,
0.06982421875,
-0.03076171875,
0.04833984375,
0.0029449462890625,
-0.07080078125,
-0.03100585... | 17,031 | 17031 | |
Patent US5936978 - Shortened fire code error-trapping decoding method and apparatus
BACKGROUND OF THE INVENTION
1. Technical Field of the Invention
The present invention relates generally to the field of data communications error correction and, in particular, to a method and apparatus for decoding shortened fire cod... | 4 | [
-0.0654296875,
0.038330078125,
-0.052001953125,
-0.0361328125,
-0.0081787109375,
-0.0172119140625,
0.039306640625,
-0.01513671875,
0.013916015625,
0.007568359375,
0.0155029296875,
0.11474609375,
0.1142578125,
-0.08203125,
-0.08837890625,
-0.0654296875,
-0.08740234375,
0.04931640625... | 17,032 | 17032 | |
New Results on Impulsive Functional Differential Equations with Infinite Delays
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 132619, 8 pages
http://dx.doi.org/10.1155/2013/132619
Research Article
New Results on Impulsive Functional Differential Equations with Infinite Delays
^1School of Mathematical ... | 5 | [
-0.140625,
-0.05615234375,
0.024169921875,
0.047119140625,
0.06689453125,
0.072265625,
0.038330078125,
-0.01361083984375,
0.07763671875,
-0.0059814453125,
0.11376953125,
0.017578125,
0.03173828125,
0.03173828125,
-0.07080078125,
0.0654296875,
0.01397705078125,
-0.03759765625,
0.0... | 17,033 | 17033 | |
Casting 2x2 matrix with unit determinant in another form
For the Iwasawa decomp of SL(2,R),
these notes
of Keith Conrad are nice.
I should mention that what's going on here is part of a bigger picture: the Iwasawa decomposition is really a statement about decomposing certain types of groups (e.g. semisimple Lie grou... | 4 | [
-0.138671875,
-0.003936767578125,
-0.04345703125,
0.04541015625,
0.0233154296875,
-0.0228271484375,
0.00115203857421875,
-0.068359375,
-0.0146484375,
-0.005950927734375,
0.10693359375,
0.00445556640625,
-0.08837890625,
0.0191650390625,
-0.006317138671875,
-0.020751953125,
-0.04931640... | 17,034 | 17034 | |
Fibonacci Induction Proofs
October 16th 2009, 06:49 AM
CoraGB
Fibonacci Induction Proofs
I have 2 proofs relating to Fibonacci numbers and each other.
1. F_m+n = (F_m-1)(F_n) + (F_m)(F_n+1) for m≥1 and n≥0. (_ indicates subscript)
So far I have,
I am letting m be fixed and using induction on n.
... | 5 | [
-0.060302734375,
-0.0030059814453125,
0.0203857421875,
0.0301513671875,
0.048828125,
-0.00775146484375,
-0.0072021484375,
0.038330078125,
0.00045013427734375,
0.0166015625,
-0.050537109375,
-0.04443359375,
0.0089111328125,
0.0277099609375,
-0.0419921875,
-0.005035400390625,
-0.069335... | 17,035 | 17035 | |
derivative
what is the second derivative of x^2 + y^2 = s^2 thanks
Ummm... You are looking for $\frac{d^2y}{dx^2}$? And I presume s is a constant? $2x + 2y \frac{dy}{dx} = 0$ $\frac{dy}{dx} = -\frac{x}{y}$ $\frac{d^2y}{dx^2} = -\frac{y - x \frac{dy}{dx}}{y^2}$
Insert the equation for $\frac{dy}{dx}$: $\frac{d^2y}{dx^2... | 5 | [
-0.00193023681640625,
-0.09033203125,
-0.018310546875,
0.05126953125,
0.023193359375,
0.00592041015625,
-0.091796875,
-0.00396728515625,
0.0228271484375,
0.00518798828125,
0.1376953125,
0.053955078125,
-0.0031280517578125,
0.041748046875,
-0.02197265625,
0.036865234375,
-0.0155029296... | 17,036 | 17036 | |
An Alternative Model of the Double Slit Interference Experiment
An Alternative Model of the
Double Slit Interference Experiment
... | 4 | [
-0.0654296875,
-0.0181884765625,
0.0693359375,
0.0203857421875,
-0.11328125,
-0.0615234375,
-0.0203857421875,
0.0274658203125,
0.042236328125,
-0.0081787109375,
0.040771484375,
0.00384521484375,
-0.07275390625,
-0.00872802734375,
0.053466796875,
-0.01165771484375,
0.053466796875,
-... | 17,037 | 17037 | |
Distributive law
Prove $\alpha(\beta+\gamma)=\alpha \beta + \alpha \gamma$ Let $x\in\alpha$. $x\in\alpha\rightarrow x\in \beta\cup \gamma\rightarrow (x\in \beta) \cup (x\in \gamma) \rightarrow (x \in \alpha, x \in\
beta)\cup (x \in \alpha, x \in\gamma)$ $\because (x\in \beta) \cup (x\in \gamma) \rightarrow (x \in \alph... | 4 | [
0.00799560546875,
-0.00714111328125,
0.060546875,
0.0301513671875,
-0.037841796875,
0.04931640625,
0.09375,
0.0203857421875,
-0.0002002716064453125,
-0.00390625,
-0.02978515625,
0.00860595703125,
0.0234375,
-0.01055908203125,
0.054443359375,
-0.00958251953125,
0.016357421875,
0.063... | 17,038 | 17038 | |
Math 102 - Word Problem
October 8th 2008, 05:28 PM #1
Newbie
Joined
Oct 2008
Posts
3
Math 102 - Word Problem
I need help. I suck at doing Math.
Here it goes...
An inlet pipe can fill a swimming pool in 9hrs and an outlet pipe can empty the pool in 12hrs. Through an error, both pipes are left op... | 4 | [
0.024169921875,
0.054443359375,
-0.007232666015625,
-0.0771484375,
-0.059326171875,
0.02783203125,
0.0152587890625,
0.04248046875,
-0.03466796875,
-0.03271484375,
0.0125732421875,
-0.042236328125,
0.06982421875,
0.046142578125,
-0.03173828125,
-0.005279541015625,
-0.08154296875,
-0... | 17,039 | 17039 | |
Lotka-Volterra Model
Lotka-Volterra Prey and Predator Model
¡@
The Lotka-Volterra model is a model for an ecological predator-prey. If we assume that
1. the growth rate of prey A,
2. the rate at which predators destroy prey B ,
3. the death rate of predators C ,
4. the rate at which predators increase by consumin... | 4 | [
-0.04541015625,
-0.0028839111328125,
0.0113525390625,
-0.00616455078125,
0.000036716461181640625,
0.0093994140625,
-0.08740234375,
0.0439453125,
0.0546875,
0.01092529296875,
0.0498046875,
-0.05615234375,
0.076171875,
0.05029296875,
0.01361083984375,
0.047119140625,
0.01519775390625,
... | 17,040 | 17040 | |
Statics - Coplanar Force Systems
The problem statement:
My relevant equation:
[itex]\phi[/itex] will be the angle between the X axis and [itex]F_{CO}[/itex]
[tex]\theta = \phi + \arcsin\left(\frac{3}{5}\right)[/tex]
My attempt at a solution:
[tex]\Sigma F_{x} = 0:[/tex]
[tex]F_{CO}\cos\phi - F_{BO}\frac{4}{5} = ... | 5 | [
-0.046630859375,
-0.04052734375,
-0.033935546875,
-0.009765625,
0.062255859375,
0.00176239013671875,
0.057861328125,
0.054931640625,
-0.00084686279296875,
0.06640625,
0.08251953125,
-0.0299072265625,
-0.03759765625,
0.0211181640625,
-0.045166015625,
0.01513671875,
-0.06005859375,
-... | 17,041 | 17041 | |
Study on the Characteristics of Electromagnetic Noise of Axial Flux Permanent Magnet Synchronous Motor
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 764105, 8 pages
http://dx.doi.org/10.1155/2014/764105
Research Article
Study on the Characteristics of Electromagnetic Noise of Axial Flux Permanent Magne... | 4 | [
-0.030517578125,
-0.0159912109375,
0.042724609375,
-0.041015625,
-0.004058837890625,
-0.0262451171875,
-0.02734375,
-0.056640625,
0.004486083984375,
-0.0390625,
0.0244140625,
0.0419921875,
0.11669921875,
-0.059326171875,
-0.044189453125,
0.0089111328125,
0.04052734375,
-0.039306640... | 17,042 | 17042 | |
On the nature of the infinite fall toward the EH
Austin0 was asking for some more detailed math. I'd suggest looking at Caroll's GR lecture notes online.
I'll also add that while Caroll's online notes are perfectly fine (one can't trust everything online, Caroll's online notes are drafts of a book by a physics profe... | 4 | [
-0.0791015625,
-0.080078125,
0.03076171875,
0.0830078125,
-0.00970458984375,
0.040771484375,
-0.06396484375,
0.06396484375,
0.123046875,
0.033203125,
0.00836181640625,
0.03271484375,
-0.0220947265625,
-0.07080078125,
-0.0247802734375,
-0.10888671875,
-0.026611328125,
-0.06079101562... | 17,043 | 17043 | |
Patent US20020133243 - Non-integer order dynamic systems
FIELD OF THE INVENTION
[0001] The present invention relates to dynamic systems, and more particularly to non-integer order dynamic systems such as, for example, proportional, integral, and derivative (PID) controllers.
BACKGROUND OF THE INVENTION
[0002] The id... | 4 | [
-0.103515625,
-0.032958984375,
-0.0164794921875,
-0.012939453125,
-0.013427734375,
-0.0030517578125,
-0.08349609375,
0.052490234375,
0.11328125,
0.0145263671875,
0.034912109375,
0.0771484375,
0.0233154296875,
0.0130615234375,
-0.0712890625,
-0.03955078125,
-0.0098876953125,
0.09521... | 17,044 | 17044 | |
Math Help
August 18th 2012, 12:12 PM #1
Newbie
Joined
Aug 2012
From
Brasilia
Posts
5
subring
Hi ! i have this exercise , i need help
For a fixed element a $\in{} \mathbb{R}$ we have $C(a)=r \in{} R\ /\ ra=ar$ . Prove that $C(a)$ is a subring of R containing a . Prove that the center of R is t... | 4 | [
-0.0206298828125,
0.0281982421875,
-0.0556640625,
-0.02197265625,
-0.0400390625,
0.03662109375,
0.0458984375,
0.012451171875,
0.0019378662109375,
-0.048828125,
-0.072265625,
-0.0322265625,
0.024658203125,
-0.01080322265625,
-0.0400390625,
0.007476806640625,
-0.00518798828125,
0.013... | 17,045 | 17045 | |
Calculating Quartiles answer explanation
March 17th 2009, 01:42 AM #1
Newbie
Joined
Mar 2009
Posts
7
Question: Calculate Q1 (lower quartile)
There are 50 data entries so im not going to type them all.
Answer:
n = 50, so (n+3)/4=13.25
Therefore Q1 is a quarter of the distance between the ... | 4 | [
-0.072265625,
0.042236328125,
-0.03369140625,
-0.11083984375,
-0.09033203125,
-0.021240234375,
-0.016845703125,
0.0294189453125,
0.09130859375,
0.0130615234375,
0.0341796875,
0.002105712890625,
0.0272216796875,
0.00183868408203125,
-0.053955078125,
-0.039794921875,
0.0301513671875,
... | 17,046 | 17046 | |
Numerical Modeling of the Interaction of Solitary Waves and Submerged Breakwaters with Sharp Vertical Edges Using One-Dimensional Beji & Nadaoka Extended Boussinesq Equations
International Journal of Oceanography
Volume 2013 (2013), Article ID 691767, 7 pages
http://dx.doi.org/10.1155/2013/691767
Research Article
Num... | 4 | [
-0.048095703125,
-0.00064849853515625,
0.07470703125,
-0.041015625,
-0.031982421875,
-0.08740234375,
-0.0888671875,
0.052001953125,
-0.08935546875,
-0.0267333984375,
-0.05908203125,
-0.01214599609375,
-0.00897216796875,
-0.023193359375,
-0.007415771484375,
0.0830078125,
-0.0522460937... | 17,047 | 17047 | |
Prove that series = ... ?
May 21st 2009, 09:28 AM #1
Prove that series = ... ?
Prove that:
$1 - \frac{n^2}{n + 1} + \frac{n^2(n^2 - 1)}{(n + 1)(n + 2)} - \frac{n^2(n^2 - 1)(n^2 - 2)}{(n + 1)(n + 2)(n + 3)} + \mbox{...}\ = \frac{1}{n + 1}$
where $n\in \mathbb{N}$
Note that you may re-write the sum a... | 5 | [
0.0306396484375,
0.0244140625,
0.046630859375,
0.0284423828125,
-0.0225830078125,
0.022705078125,
-0.037841796875,
0.0140380859375,
-0.0020904541015625,
-0.06298828125,
-0.1259765625,
0.015869140625,
0.043212890625,
-0.057373046875,
-0.1328125,
-0.0103759765625,
0.10205078125,
-0.0... | 17,048 | 17048 | |
ring homomorphism
November 25th 2012, 07:39 PM #1
Newbie
Joined
Nov 2012
From
omaha
Posts
8
ring homomorphism
Show that the map f : Z9 maps to Z12 defined as x maps to 4x is a well defined ring
homomorphism. What is the kernel of this map. Find the quotient ring and
give it's multiplication t... | 5 | [
-0.0186767578125,
0.05517578125,
-0.029296875,
-0.0269775390625,
0.01953125,
-0.0228271484375,
0.0252685546875,
0.05908203125,
-0.0703125,
-0.0927734375,
0.08203125,
0.0003509521484375,
-0.08154296875,
-0.059326171875,
-0.0908203125,
-0.0147705078125,
-0.04443359375,
0.03369140625,... | 17,049 | 17049 | |
Towards the Epidemiological Modeling of Computer Viruses
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 259671, 11 pages
http://dx.doi.org/10.1155/2012/259671
Research Article
Towards the Epidemiological Modeling of Computer Viruses
^1School of Electronic and Information Engineering, Southwes... | 4 | [
-0.054443359375,
-0.0181884765625,
0.0233154296875,
-0.01904296875,
0.0166015625,
-0.061767578125,
0.026611328125,
0.0167236328125,
0.111328125,
0.052001953125,
-0.01007080078125,
0.02734375,
0.12109375,
-0.0074462890625,
-0.04931640625,
-0.0634765625,
-0.0177001953125,
-0.09423828... | 17,050 | 17050 | |
Deduce to inequality
July 14th 2009, 11:25 PM
arze
Deduce to inequality
By using the formulae expressing $sin\theta$ and $cos\theta$ in terms of t, where $(t\equiv tan\frac{\theta}{2})$ or otherwise, show that $\frac{1+sin\theta}{5+4cos\theta}\equiv\frac{(1+t)^ 2}
{9+t^2}$.
Deduce that $0\leq\frac{1+sin\... | 5 | [
-0.10595703125,
0.048828125,
0.09716796875,
0.00543212890625,
0.0118408203125,
-0.0250244140625,
-0.024658203125,
0.1142578125,
0.01080322265625,
-0.0123291015625,
0.00970458984375,
0.033203125,
-0.03759765625,
0.06494140625,
-0.0869140625,
-0.00244140625,
0.039306640625,
0.0112304... | 17,051 | 17051 | |
Uniform Continuity of $\sqrt{|x|}$ on $\mathbb{R}$
February 19th 2010, 12:58 AM
bkarpuz
[Solved] Uniform Continuity of $\sqrt{|x|}$ on $\mathbb{R}$
Dear Friends,
I need help with the following $\varepsilon-\delta$ proof for uniform continuity.
Claim. Prove or disprove that the function $\sqrt{|x|}$ is ... | 5 | [
0.01080322265625,
-0.0113525390625,
-0.01080322265625,
-0.050537109375,
-0.00537109375,
0.0157470703125,
0.017822265625,
-0.0341796875,
-0.06689453125,
-0.015869140625,
0.09716796875,
0.051025390625,
0.08740234375,
0.060546875,
0.0284423828125,
-0.053466796875,
0.0673828125,
-0.077... | 17,052 | 17052 | |
advanced functions questions
April 4th 2007, 09:01 PM
juiicycouture
advanced functions questions
please indicate which question you are answering, and thanks for your help
1. Solve the following equation:
(x+1)^2 - 3(x+1) = 0
2. What is the maximum possible number of turning points for each of the... | 4 | [
-0.053466796875,
-0.01806640625,
-0.02783203125,
-0.08447265625,
-0.0419921875,
0.08056640625,
0.0000400543212890625,
0.0157470703125,
0.0189208984375,
-0.0250244140625,
0.0205078125,
-0.05615234375,
0.01171875,
0.033203125,
0.027099609375,
-0.00628662109375,
-0.03173828125,
-0.109... | 17,053 | 17053 | |
Integration
What is the integral of: (4sin(x))/(2+cos(x)) and please explain the method. Thank you.
Hello, charlie8529! $\int \frac{4\sin x}{2+\cos x}\,dx$ We have: . $4 \int\frac{1}{2+\cos x}\,(\sin x\,dx)$ Let: $u \:=\:2 + \cos x\quad\Rightarrow\quad du \:=\:-\sin x\,dx \quad\Rightarrow\quad \sin
x\,dx \:=\:-du$ Sub... | 5 | [
-0.029052734375,
0.032958984375,
0.04345703125,
0.004425048828125,
0.020751953125,
-0.031494140625,
-0.03125,
0.038818359375,
-0.040771484375,
-0.0206298828125,
0.06884765625,
-0.07958984375,
-0.030029296875,
-0.007415771484375,
-0.0016937255859375,
-0.03955078125,
0.0927734375,
0.... | 17,054 | 17054 | |
help solving poisson calc
July 13th 2011, 04:15 PM #1
Newbie
Joined
May 2011
Posts
15
help solving poisson calc
i believe number of goals scored in a soccer match is poisson.
suppose some1 is offering odds of over 2.5 goals is 2.12 and under at 1.802. i want to know what they think the mean score is... | 5 | [
0.04931640625,
0.039306640625,
-0.01470947265625,
-0.032470703125,
0.0213623046875,
-0.05859375,
0.07421875,
0.0233154296875,
0.1259765625,
0.05126953125,
0.062255859375,
-0.140625,
0.0537109375,
0.0400390625,
0.06005859375,
-0.041259765625,
-0.048828125,
-0.06005859375,
-0.05786... | 17,055 | 17055 | |
Derivative of trigonometric functions
March 4th 2008, 04:33 PM #1
Newbie
Joined
Mar 2008
Posts
2
Derivative of trigonometric functions
1) lim as theata approaches 0 --> 1-cos theata/theata^2
2) lim as theaata approaches 0 --> tan theata/2 theata
Please explain how each is done please. THank yo... | 5 | [
0.00135040283203125,
0.0267333984375,
-0.01287841796875,
0.0299072265625,
-0.04150390625,
-0.00537109375,
-0.045166015625,
-0.0196533203125,
0.06640625,
0.07177734375,
0.091796875,
-0.041748046875,
-0.021240234375,
0.052978515625,
-0.01055908203125,
0.00927734375,
-0.021240234375,
... | 17,056 | 17056 | |
Comment on
I thought we were allowed to freely interpret the problem. Anyway, I've added my assumptions to the top of my post to avoid confusion. Will try to look at a solution for your formulation later..
Update: After sleeping on it, I've realized that the same thing can still be done with just one timer of each siz... | 5 | [
0.005340576171875,
0.0546875,
-0.06103515625,
-0.051025390625,
-0.0211181640625,
-0.0184326171875,
0.0546875,
0.025634765625,
0.0019378662109375,
-0.0047607421875,
-0.00004291534423828125,
-0.0341796875,
0.01531982421875,
0.04296875,
0.00159454345703125,
-0.021728515625,
0.0069274902... | 17,057 | 17057 | |
Vector problem
Let $ABC$ be a triangle with $AB=\vec{a}$ and $AC=\vec{b}$ and $M\in[BC]$, $\frac{BM} {MC}=k$. $AM= ?$
We have $\overrightarrow{BM}=k\cdot\overrightarrow{MC}$ $\overrightarrow{BM}=\overrightarrow{AM}-\overrightarrow{AB}$ $\overrightarrow{MC}=\overrightarrow{AC}-\overrightarrow{AM}$ Then, $\
overrightarr... | 5 | [
0.0013580322265625,
0.0419921875,
-0.0245361328125,
0.00183868408203125,
-0.0274658203125,
0.00191497802734375,
0.052001953125,
0.01348876953125,
-0.0263671875,
0.0654296875,
0.0177001953125,
-0.1162109375,
0.046875,
0.0245361328125,
-0.051513671875,
0.058349609375,
-0.017822265625,
... | 17,058 | 17058 | |
Sign Charts
February 19th 2009, 09:00 AM
AlgebraicallyChallenged
Sign Charts
Dear Forum I solved the following but I need help solving is using (sign charts- critical value method) I solved the inequality but I need help solving it using sign charts.
1.Solve x2 + 11x + 18 > 0 using the Critical Value (Sign ... | 4 | [
-0.00726318359375,
0.0478515625,
0.0235595703125,
-0.01190185546875,
0.03662109375,
0.0172119140625,
-0.04541015625,
0.08837890625,
-0.041259765625,
-0.01141357421875,
0.0849609375,
-0.0322265625,
0.053466796875,
0.0286865234375,
0.0556640625,
-0.003997802734375,
-0.0194091796875,
... | 17,059 | 17059 | |
GMAT Number Theory
• 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 test
... | 4 | [
0.0196533203125,
-0.046142578125,
0.072265625,
0.006622314453125,
-0.0107421875,
0.072265625,
0.022705078125,
-0.009521484375,
-0.0673828125,
-0.013427734375,
0.031494140625,
-0.0108642578125,
0.0034027099609375,
-0.083984375,
0.037353515625,
-0.0096435546875,
0.0296630859375,
-0.0... | 17,060 | 17060 | |
GMAT Probability
• 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 test
... | 4 | [
0.0419921875,
-0.04443359375,
0.061279296875,
0.000640869140625,
0.00052642822265625,
0.05029296875,
0.025146484375,
0.01495361328125,
-0.036865234375,
0.00665283203125,
0.042236328125,
-0.042236328125,
0.0166015625,
-0.0703125,
0.025390625,
0.00823974609375,
0.034423828125,
-0.047... | 17,061 | 17061 | |
Math Help
Hi, How to calculate the following integral $\int_{e^{3}}^{e^{4}}\frac{ln(1+\sqrt{x})}{x+\sqrt{ x}}$ ???
Start with integration by parts. $\int{u*dv}=uv-\int{v*du}$ $u=ln(1+\sqrt{x})$ $du=\frac{1}{2\sqrt{x}*(\sqrt{x}+1)}$ $v=2ln(1+\sqrt{x})$ $dv=\frac{1}{x+\sqrt{x}}$ then $uv=(ln(1+\sqrt{x}))*(2ln(1+\
sqrt{... | 5 | [
0.06591796875,
0.056640625,
0.03564453125,
-0.0791015625,
0.016845703125,
-0.05224609375,
-0.006256103515625,
0.0048828125,
-0.059326171875,
-0.0120849609375,
0.056884765625,
-0.03369140625,
-0.06591796875,
0.07763671875,
-0.0028076171875,
-0.0263671875,
-0.043212890625,
0.06933593... | 17,062 | 17062 | |
MathGroup Archive: July 2012 [00298]
[Date Index] [Thread Index] [Author Index]
Re: Help with Reduce and ForAll
• To: mathgroup at smc.vnet.net
• Subject: [mg127381] Re: Help with Reduce and ForAll
• From: Andrzej Kozlowski <akozlowsk... | 5 | [
-0.0712890625,
0.039794921875,
0.016845703125,
-0.04248046875,
0.04296875,
0.053955078125,
-0.005218505859375,
-0.004241943359375,
-0.06591796875,
0.0361328125,
-0.021484375,
0.03955078125,
0.006622314453125,
-0.01519775390625,
-0.0072021484375,
0.0615234375,
-0.00139617919921875,
... | 17,063 | 17063 | |
Integration by Parts
January 24th 2010, 04:25 PM #1
Newbie
Joined
Jan 2010
Posts
13
Integration by Parts
I have to integrate x times the square root of (x+3) and tried it using integration by parts. If u=x, du=dx, and v=the integration of the square root of (x+3), which is 2/3 times (x+3) raised to
t... | 5 | [
-0.0306396484375,
0.008544921875,
0.04443359375,
-0.02099609375,
-0.01513671875,
-0.08203125,
-0.0673828125,
-0.078125,
0.045166015625,
0.0026092529296875,
0.05810546875,
-0.05078125,
-0.05078125,
0.0233154296875,
0.03857421875,
-0.049560546875,
0.021484375,
0.051025390625,
-0.01... | 17,064 | 17064 | |
Abstract Nonsense, chapter 1: the List
Abstract Nonsense: Rambling thoughts of a Category Theorist
Synopsis: Looking at things through the lens of category theory, where 'things' may be anything from writing a good (a really, awesomely good) piece of code to ... well, what else is there in this
life?
Chapter 1: the... | 4 | [
-0.060546875,
-0.1083984375,
0.0185546875,
-0.01611328125,
-0.03173828125,
-0.01177978515625,
0.007720947265625,
0.0257568359375,
0.061767578125,
-0.052490234375,
-0.0233154296875,
-0.0791015625,
-0.068359375,
0.01007080078125,
0.0185546875,
-0.006927490234375,
0.05517578125,
-0.00... | 17,065 | 17065 | |
Show that R is an equivalence relation
March 21st 2010, 10:22 AM
Runty
Show that R is an equivalence relation
Let $A$ be the set of all bit strings of length 10. Let $R$ be the relation defined on $A$ where two bit strings are related if the third, fourth and last bits are the same. Show that $R$ is an
equiv... | 4 | [
-0.0135498046875,
-0.0003490447998046875,
-0.07763671875,
-0.091796875,
-0.08203125,
0.050048828125,
0.00579833984375,
-0.026611328125,
-0.045654296875,
-0.048583984375,
-0.0054931640625,
-0.00885009765625,
-0.031982421875,
0.02978515625,
0.07080078125,
0.005401611328125,
0.020751953... | 17,066 | 17066 | |
Vibrational free energy in the high temperature limit
This doesn't really qualify as a proper physics question, but I don't know where to put this... I have been thinking about this for about 2 hours now, and just don't get the correct approximation.
For the free energy of the vibrational degrees of freedom of a diato... | 4 | [
-0.0498046875,
0.08935546875,
0.0115966796875,
0.0245361328125,
-0.01544189453125,
-0.00213623046875,
0.05029296875,
0.039794921875,
0.049560546875,
0.016357421875,
-0.0152587890625,
-0.07861328125,
-0.01470947265625,
-0.08447265625,
0.06005859375,
-0.0223388671875,
0.00372314453125,... | 17,067 | 17067 | |
Defining a function [Mathematica]
September 28th 2008, 10:12 AM #1
[SOLVED] Defining a function [Mathematica]
I want to define the following function:
$\varphi:\mathbb{N}\to\mathbb{N}\times\mathbb{N},$
..... $\ell$.. $\to$.. $\varphi(\ell):=\begin{cases}(m,n),&(-1)^{m+n}=1\\ (n,m),&(-1)^{m+n}=-1,\end{case... | 4 | [
0.01318359375,
-0.0247802734375,
-0.0194091796875,
-0.0025634765625,
-0.022705078125,
-0.0341796875,
0.0284423828125,
0.0380859375,
-0.00836181640625,
-0.03173828125,
0.0849609375,
-0.0498046875,
-0.0072021484375,
0.0133056640625,
-0.0174560546875,
0.0262451171875,
0.001220703125,
... | 17,068 | 17068 | |
Proof of Mercator’s deduction of logarithms from a hyperbola functions
April 22nd 2012, 09:13 AM #1
Newbie
Joined
Apr 2012
From
Netherlands
Posts
8
Thanks
1
Proof of Mercator’s deduction of logarithms from a hyperbola functions
For my History of Maths class I received the following challenge:
... | 4 | [
-0.002838134765625,
0.01373291015625,
0.0302734375,
-0.019775390625,
0.041015625,
-0.0869140625,
0.062255859375,
-0.025390625,
0.068359375,
0.04345703125,
0.041015625,
0.0274658203125,
0.0272216796875,
0.0693359375,
0.041015625,
0.07421875,
-0.068359375,
0.0240478515625,
-0.02954... | 17,069 | 17069 | |
integral inner product
April 16th 2010, 07:35 PM
demode
integral inner product
http://img232.imageshack.us/img232/9657/22513792.gif
Here's the solution provided:
http://img651.imageshack.us/img651/1880/68859494.gif
I don't understand how they got that answer! This is my own attempt:
Since $f$ ... | 5 | [
-0.08154296875,
0.0380859375,
0.054931640625,
-0.044921875,
-0.02587890625,
-0.007415771484375,
-0.03076171875,
0.09375,
-0.053466796875,
0.01483154296875,
0.04541015625,
-0.01312255859375,
0.03759765625,
-0.044189453125,
-0.0022125244140625,
-0.053466796875,
0.015625,
-0.068359375... | 17,070 | 17070 | |
Finding derivative with log
July 14th 2013, 07:37 PM #1
Junior Member
Joined
Apr 2013
From
Melbourne
Posts
29
Thanks
1
Finding derivative with log
Can't seem to get this question.
find dy/dx of y=-log(base,e)(cosx)
i get the expression to (-cosx/x)+log(base,e)+sinx. But I don't know how... | 5 | [
-0.005767822265625,
-0.054931640625,
0.058837890625,
-0.004791259765625,
0.041259765625,
-0.0517578125,
0.035400390625,
0.026611328125,
0.016357421875,
0.060546875,
0.1298828125,
-0.0284423828125,
0.007659912109375,
0.055419921875,
0.041748046875,
-0.00872802734375,
-0.03466796875,
... | 17,071 | 17071 | |
Physics Forums - Proving Cayley Transform operator is unitary
-
Calculus
(
http://www.physicsforums.com/forumdisplay.php?f=109
)
Proving Cayley Transform operator is unitary
Hi,
Was wondering if anyone could give me a hand.
I need to prove that the Cayley Transform operator given by U=(A-i)(A+i)^-1 is UNITAR... | 5 | [
-0.06787109375,
0.0064697265625,
-0.037109375,
-0.031494140625,
-0.1259765625,
-0.00787353515625,
0.060791015625,
-0.10009765625,
-0.06396484375,
-0.0279541015625,
0.0537109375,
-0.0361328125,
0.0038299560546875,
0.01092529296875,
0.0186767578125,
0.00921630859375,
-0.0478515625,
0... | 17,072 | 17072 | |
Modular arithmetic
September 15th 2008, 07:10 AM #1
Newbie
Joined
Sep 2008
From
Wyoming, Pennsylvania
Posts
12
Modular arithmetic
Can someone please help. I keep getting an assignment back for two problems being worng. Can someone help asap? I am to multiply these 2 problems:
2 ≡ 3 mod 5 and -4 ... | 4 | [
-0.0888671875,
-0.00836181640625,
0.095703125,
-0.0234375,
0.054931640625,
-0.055908203125,
0.04443359375,
0.045166015625,
-0.061767578125,
-0.0439453125,
0.1064453125,
-0.017333984375,
0.053466796875,
0.025390625,
-0.03125,
0.0213623046875,
-0.022705078125,
0.000728607177734375,
... | 17,073 | 17073 | |
Patent US4963853 - Simultaneous inbound multi-channel communication system using electricity distribution network
BACKGROUND OF THE INVENTION
This invention relates to a system for extracting information from a carrier wave and relates generally to the method and apparatus described in U.S. Pat. Nos. 4,106,007 and 4,2... | 4 | [
-0.09521484375,
0.041015625,
-0.06640625,
-0.0311279296875,
-0.0732421875,
-0.007659912109375,
0.03173828125,
0.08349609375,
0.0264892578125,
-0.00469970703125,
0.03955078125,
0.06494140625,
0.06640625,
-0.05859375,
0.013427734375,
-0.017578125,
0.033935546875,
-0.04833984375,
-0... | 17,074 | 17074 | |
Need help solving equations from this matrix
November 2nd 2009, 11:35 AM
BigBoss22
Need help solving equations from this matrix
I have a matrix
1 0 5 0 0
0 1 1 5 0
0 0 0 0 1
Which gives the three equations:
X1 + 5X3 = 0
X2 + X3 + 5X4 = 0
4X5 = 0
Now in my notes it says that yo... | 4 | [
-0.068359375,
-0.04150390625,
-0.03173828125,
-0.0303955078125,
0.05859375,
-0.04736328125,
0.021484375,
-0.0888671875,
-0.000614166259765625,
0.048828125,
0.07373046875,
-0.02734375,
-0.0123291015625,
-0.03955078125,
-0.058837890625,
0.12060546875,
-0.0791015625,
-0.0120849609375,... | 17,075 | 17075 | |
Best way to solve Schrodinger's wave equation numerically.
Since your potential is time independent, the fastest way to solve your problem is to first find the eigenfunctions of the Hamiltonian
[tex]
H \phi_i = E_i \phi_i
[/tex]
To do this, discretize space and write the Hamiltonian as a matrix. As you said, you can u... | 4 | [
-0.0308837890625,
0.0263671875,
0.0390625,
-0.044189453125,
-0.076171875,
0.045166015625,
-0.057373046875,
0.041015625,
-0.07958984375,
-0.034912109375,
0.017822265625,
-0.0439453125,
-0.035888671875,
-0.043212890625,
0.050048828125,
-0.00335693359375,
0.01165771484375,
-0.01153564... | 17,076 | 17076 | |
Factor the expression
August 3rd 2010, 11:22 AM #1
Junior Member
Joined
Feb 2010
Posts
47
Factor the expression
First question:
From the book... whomever wrote this doesn't know HOW to explain things.
Solve:
$p(m-n)-q(n-m)$
$p(m-n)-q(-1)(-n+m)$
From the second two terms, pull ou... | 4 | [
-0.09423828125,
0.035888671875,
0.047607421875,
0.08740234375,
-0.04931640625,
0.061279296875,
0.05322265625,
0.02490234375,
0.01116943359375,
-0.0023345947265625,
0.0517578125,
0.0267333984375,
0.08203125,
0.0703125,
-0.019775390625,
0.08056640625,
0.0269775390625,
-0.05126953125,... | 17,077 | 17077 | |
Patent US7174048 - Energy minimization for classification, pattern recognition, sensor fusion, data compression, network reconstruction and signal processing
REFERENCE TO RELATED APPLICATIONS
The present patent document is a division of application Ser. No. 09/581,949, now U.S. Pat. No. 6,993,186, filed Jun. 19, 2000,... | 4 | [
-0.1630859375,
0.0281982421875,
-0.0172119140625,
-0.05322265625,
0.068359375,
0.003936767578125,
0.0103759765625,
0.10546875,
-0.0203857421875,
-0.0203857421875,
-0.038818359375,
0.0966796875,
-0.004302978515625,
-0.033935546875,
-0.0888671875,
0.006591796875,
0.08447265625,
0.024... | 17,078 | 17078 | |
Generating combinations
May 11th 2009, 11:27 PM
82026
Generating combinations
we have integer N = 1*n1+2*n2+3*n3+4*n4+5*n5+6*n6+7*n7+8*n8+9*n9 .
How to calculate total possible number of n1..n9 combinations?
n can be any positive integer including 0.
Also algo to generate all of that combinations?
M... | 4 | [
-0.032958984375,
-0.0279541015625,
0.052490234375,
-0.02001953125,
0.01220703125,
0.041748046875,
0.010498046875,
0.07861328125,
-0.076171875,
-0.045654296875,
-0.07421875,
-0.044189453125,
0.00421142578125,
0.00154876708984375,
-0.10107421875,
-0.0157470703125,
-0.01318359375,
-0.... | 17,079 | 17079 | |
Principle of Mathy Induction.........
State the principle of mathematical induction and use it to prove that; 1^2+2^2+3^2+...+n^2=1/6n(n+1)(2n+1)
Presume $P_{1}$ is true, since $\frac{(1)(1+1)(2(1)+1)}{6}=1$ Presume $P_{k}$ is true: $1^{2}+2^{2}+3^{2}+...........+k^{2}=\frac{k(k+1)(2 k+1)}{6}$ Therefore, $1^{2}+2^{2}+... | 5 | [
-0.04248046875,
0.0186767578125,
0.07373046875,
0.09619140625,
-0.01806640625,
-0.0023345947265625,
-0.01007080078125,
-0.0047607421875,
0.0732421875,
-0.00469970703125,
-0.10693359375,
0.034423828125,
0.0306396484375,
-0.003814697265625,
-0.1044921875,
-0.03857421875,
-0.03979492187... | 17,080 | 17080 | |
Using Laplace Transform to solve Differential equations
April 10th 2011, 01:11 AM
Paymemoney
Using Laplace Transform to solve Differential equations
Hi
The following question i am having trouble solving
Use Laplace Transforms to solve each system of differential equations
$\frac{dx}{dt} = -2y+1$
... | 5 | [
-0.08837890625,
-0.00787353515625,
0.049560546875,
-0.08935546875,
0.1005859375,
0.0272216796875,
-0.0654296875,
0.035400390625,
0.017822265625,
0.0216064453125,
0.08154296875,
-0.03173828125,
0.037109375,
0.0203857421875,
-0.0634765625,
-0.0245361328125,
-0.0205078125,
-0.06298828... | 17,081 | 17081 | |
u and v solution
April 6th 2010, 10:22 PM #1
Newbie
Joined
Mar 2010
Posts
19
u and v solution
Show that if u and v are solutions of y'' + py = 0, then z= uv is a solution of (z''+ pz)' +pz' =0.
What are that saying???? Anything infor will help.Thanks in advance
I would think that what it is say... | 4 | [
-0.07666015625,
0.0257568359375,
0.047119140625,
0.0068359375,
0.034912109375,
0.06396484375,
0.076171875,
-0.0225830078125,
-0.099609375,
0.02392578125,
0.091796875,
-0.017333984375,
0.049560546875,
0.0791015625,
0.01220703125,
0.026123046875,
-0.130859375,
-0.017822265625,
-0.0... | 17,082 | 17082 | |
Patent US5925083 - Method of correcting steering of a road driven vehicle
FIELD OF THE INVENTION
The present invention relates to computerized of a road vehicle.
REVIEW OF THE RELATED TECHNOLOGY
In order to steer a car, a driver must solve two partial problems, namely the directional control and the yaw stabilizatio... | 4 | [
-0.06494140625,
-0.0181884765625,
-0.05126953125,
0.005401611328125,
-0.0810546875,
0.00408935546875,
0.046875,
0.06591796875,
-0.031494140625,
0.040283203125,
0.08984375,
0.1142578125,
0.03857421875,
-0.020751953125,
-0.10009765625,
0.0859375,
-0.0390625,
0.078125,
-0.0106201171... | 17,083 | 17083 | |
Help with Anti-derivative problem
May 19th 2008, 12:47 AM
CALsunshine
Help with Anti-derivative problem
Find f.
f ' (x)= 4/{square root(1-2[squared])}, f(1/2)= 1
Any insight as to how to handle this would be wonderful :)
May 19th 2008, 02:00 AM
mr fantastic
May 19th 2008, 03:09 AM
Soroban
He... | 5 | [
0.0216064453125,
-0.046142578125,
0.06201171875,
0.08642578125,
-0.01129150390625,
-0.0615234375,
-0.0537109375,
0.048828125,
-0.0252685546875,
0.0673828125,
0.00160980224609375,
-0.01043701171875,
-0.032958984375,
0.0198974609375,
-0.0732421875,
0.0286865234375,
0.0859375,
-0.0747... | 17,084 | 17084 | |
advanced calculus, help!
f: [-1, 1]---R and the graph of f is compact, prove that f is continuous? Any hint will be appreciated!!
Assume that the graph is compact. Assume for contradiction that $f$ is discontinuous at $x_0 \in [-1,1]$. Then there exists an $\epsilon > 0$ and a sequence $\{x_n \} \subset [-1,1]$ such t... | 5 | [
0.00018310546875,
-0.0128173828125,
-0.023681640625,
0.00701904296875,
-0.0291748046875,
0.007720947265625,
0.07470703125,
0.0771484375,
-0.08056640625,
-0.03515625,
0.0024261474609375,
0.030029296875,
0.006744384765625,
0.052001953125,
-0.0257568359375,
-0.019775390625,
-0.005676269... | 17,085 | 17085 | |
Exponential function
April 17th 2008, 04:46 PM #1
Junior Member
Joined
Mar 2008
Posts
56
Exponential function
The half-life of the radioactive element Radium-226 is 1590 years. This means that after 1590 years only half of the original radioactive material will have disintegrated. Because the
rat... | 4 | [
-0.07177734375,
0.06689453125,
-0.033203125,
0.027099609375,
0.01214599609375,
-0.09228515625,
-0.0283203125,
0.064453125,
0.0054931640625,
0.0625,
0.054931640625,
-0.016845703125,
0.055908203125,
0.0123291015625,
0.0113525390625,
-0.0380859375,
-0.1171875,
-0.08935546875,
-0.040... | 17,086 | 17086 | |
Find Area of Rectangle
The perimeter and the diagonal of a rectangle are 18m and 5m respectively. Find its area.
Hello, magentarita! Is there a typo in the problem? As stated, it has no solution. Quote: The perimeter and the diagonal of a rectangle are 14m and 5m respectively. Find its area. Code: * - - - - - *
| * | ... | 4 | [
0.023681640625,
0.05224609375,
0.03271484375,
0.035888671875,
0.025146484375,
0.033203125,
-0.0223388671875,
0.0703125,
-0.0458984375,
-0.0341796875,
0.09033203125,
-0.0159912109375,
0.00579833984375,
0.04052734375,
-0.054443359375,
0.0810546875,
-0.049560546875,
-0.016845703125,
... | 17,087 | 17087 | |
Help me find the limit? Is this an integral problem? I'm lost...
April 20th 2010, 01:10 PM
ianharwood
Help me find the limit? Is this an integral problem? I'm lost...
Compute the limit
limit as n approaches infinity of [1+(x/n)]^(n)
exactly, for each fixed x and use your calculator to write a decimal a... | 5 | [
0.0137939453125,
0.01324462890625,
-0.00921630859375,
0.029296875,
0.033203125,
-0.080078125,
0.0296630859375,
0.04541015625,
-0.06884765625,
0.0174560546875,
-0.04638671875,
-0.0152587890625,
0.006805419921875,
0.046630859375,
-0.08154296875,
0.008544921875,
-0.00396728515625,
-0.... | 17,088 | 17088 | |
Covariance question
1. The problem statement, all variables and given/known data
Let the random variables X and Y have the joint p.m.f.:
f(x,y) = (x+y)/32 x=1,2, y=1,2,3,4.
find the means [tex]\mu[/tex][x] and [tex]\mu[/tex][y], the variances [tex]\sigma[/tex]^2[x] and [tex]\sigma[/tex]^2[y], and the correlation coef... | 4 | [
0.0252685546875,
-0.078125,
0.0732421875,
-0.007781982421875,
0.00154876708984375,
0.00063323974609375,
0.00396728515625,
-0.056884765625,
-0.0303955078125,
-0.01904296875,
0.06787109375,
-0.0159912109375,
0.041748046875,
0.0869140625,
0.0235595703125,
0.07080078125,
-0.03564453125,
... | 17,089 | 17089 | |
matrices help!
February 11th 2010, 02:11 AM #1
Senior Member
Joined
Jul 2009
From
Melbourne
Posts
272
Thanks
4
matrices help!
I'm teaching myself matrices because it could prove useful in the future.
I'll just run through a few things I've done to check if I'm correct:
i'm confident in ... | 4 | [
-0.031005859375,
-0.0284423828125,
-0.01904296875,
-0.0020904541015625,
0.004791259765625,
-0.080078125,
0.09375,
-0.05517578125,
-0.00860595703125,
-0.038330078125,
0.080078125,
-0.1025390625,
0.0264892578125,
-0.032958984375,
-0.053466796875,
0.0615234375,
-0.04052734375,
0.02026... | 17,090 | 17090 | |
Re: Why is the Square root of Three a factor in 3 phase power calculations?
MadSci Network: Engineering
Date: Fri Jan 19 11:12:01 2001
Posted By: Donald Howard, Staff, Nuclear Engineering, Retired
Area of science: Engineering
ID: 97803... | 4 | [
-0.0654296875,
-0.007171630859375,
-0.042724609375,
0.040771484375,
-0.02587890625,
-0.02783203125,
-0.08251953125,
0.01318359375,
0.1318359375,
0.01611328125,
0.016845703125,
0.01153564453125,
0.0308837890625,
0.009521484375,
0.064453125,
-0.0084228515625,
-0.10595703125,
0.003814... | 17,091 | 17091 | |
Which one of following Boolean expressions is not logically equivalent to all of the
September 29th 2013, 01:08 PM
lamentofking
Which one of following Boolean expressions is not logically equivalent to all of the
Which one of following Boolean expressions is not logically equivalent to all of
the rest ?
... | 5 | [
-0.044677734375,
-0.0007171630859375,
0.00189208984375,
0.02734375,
-0.0140380859375,
-0.00274658203125,
0.0771484375,
-0.10546875,
-0.017578125,
0.0595703125,
-0.030517578125,
-0.059814453125,
0.03125,
0.0274658203125,
0.0019683837890625,
0.059814453125,
-0.06982421875,
0.02478027... | 17,092 | 17092 | |
abstract algebra hw problem
March 14th 2009, 06:53 PM
rushandtool
abstract algebra hw problem
Hello,
I can't seem to figure out a part of this question:
Let F be a field and let I = { a(sub n)x^n + a(sub n-1)x^(n-1) + ... + a (sub 0), where the a(sub i) are elements of F and a(sub n) + ... + a (sub 0) ... | 5 | [
-0.076171875,
0.08251953125,
-0.010498046875,
0.036865234375,
-0.0026397705078125,
-0.0205078125,
0.1005859375,
-0.024658203125,
-0.033935546875,
-0.0576171875,
-0.09033203125,
-0.048095703125,
0.051025390625,
-0.048095703125,
-0.009765625,
0.04541015625,
-0.00469970703125,
-0.0139... | 17,093 | 17093 | |
Various Derivative Problems
I'm having trouble with these problems not sure where to start. Any help is greatly appreciated. 1.) Find all values of https://webwork.math.lsu.edu/webwork...dd0b8b8e91.png where the tangent lines
to https://webwork.math.lsu.edu/webwork...7b715f83d1.png and https://webwork.math.lsu.edu/webw... | 5 | [
-0.0693359375,
0.0118408203125,
0.0269775390625,
-0.0576171875,
-0.01507568359375,
-0.048828125,
-0.055908203125,
0.07373046875,
0.005462646484375,
0.035888671875,
0.056640625,
-0.08251953125,
0.0050048828125,
0.0032501220703125,
0.0181884765625,
0.05517578125,
-0.15625,
-0.0017166... | 17,094 | 17094 | |
Is this right? Finding x-bar
September 6th 2007, 02:39 PM #1
Junior Member
Joined
Sep 2007
Posts
64
Is this right? Finding x-bar
I don't have an answer to check against but could someone let me know if I did this right?
Formula for xbar:
$x bar = \frac{My}{m}$
Finding m:
$m = p \int_{\... | 5 | [
0.026123046875,
-0.01904296875,
0.044189453125,
-0.06982421875,
-0.00131988525390625,
-0.00787353515625,
0.0257568359375,
0.059326171875,
-0.00921630859375,
-0.041015625,
0.0458984375,
-0.08349609375,
0.048583984375,
0.040283203125,
-0.03955078125,
-0.01373291015625,
0.018798828125,
... | 17,095 | 17095 | |
Natural Numbers Proof?
If you want a proof from basic definitions, that's a long proof!
One way to define the "natural numbers" is to use the Peano axioms:
The natural numbers consist of a set N, together with a function, s (called the "successor function") from N to N such that
1) There exist a unique member of N, ... | 4 | [
-0.04736328125,
0.006561279296875,
0.04833984375,
-0.03857421875,
0.00054168701171875,
0.03076171875,
0.0517578125,
0.00024127960205078125,
0.025390625,
0.017822265625,
-0.06396484375,
-0.029052734375,
0.05712890625,
-0.052001953125,
-0.033203125,
-0.007171630859375,
-0.0041809082031... | 17,096 | 17096 | |
One more proof
April 19th 2009, 01:37 PM #1
Senior Member
Joined
Jan 2009
Posts
296
One more proof
Prove that for all natural numbers k,m, Nk X Nm is finite.
I know the lemma "for every k belong to N, every subset of Nk is finite", could we just say that Nk X Nm is a subset of Nk, so it is finite...... | 4 | [
-0.020751953125,
0.046142578125,
-0.00003910064697265625,
-0.03662109375,
-0.00958251953125,
0.041259765625,
0.08544921875,
-0.03173828125,
-0.03271484375,
-0.01287841796875,
-0.07666015625,
-0.06689453125,
0.078125,
-0.047607421875,
-0.00159454345703125,
0.06298828125,
-0.0383300781... | 17,097 | 17097 | |
Bijective function proof
April 19th 2009, 03:27 AM #1
Newbie
Joined
Apr 2009
From
Richmond, VA
Posts
5
Bijective function proof
Hey guys, just a bit lost with this proof
Let x and y be distinct numbers in the set {1, 2, . . . , n}, (n positive integer) and let $\alpha \in$ Sn be the transpositio... | 5 | [
-0.0224609375,
-0.029541015625,
0.0322265625,
0.021484375,
-0.0023651123046875,
0.10986328125,
0.1064453125,
0.016845703125,
-0.040283203125,
-0.07666015625,
-0.05810546875,
0.09814453125,
0.01483154296875,
0.01287841796875,
-0.055908203125,
0.05859375,
0.0211181640625,
-0.03515625... | 17,098 | 17098 | |
Combination question?
July 9th 2011, 07:45 AM #1
Newbie
Joined
Jul 2011
Posts
3
Combination question?
A jar contains ten blue balls, ten red ones, ten white ones, and ten green ones. Each set of ten balls of the same colour is numbered from 1 to 10. How many different selections of four balls are
pos... | 4 | [
0.068359375,
0.0191650390625,
-0.0037689208984375,
-0.09912109375,
-0.0218505859375,
0.10009765625,
0.080078125,
0.00665283203125,
-0.01348876953125,
-0.04443359375,
-0.025390625,
0.013671875,
0.107421875,
0.05029296875,
0.058349609375,
0.048828125,
0.0294189453125,
-0.04443359375,... | 17,099 | 17099 |