content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
integration
April 4th 2010, 01:23 PM
Evan.Kimia
integration
I cant seem to get these 2 questions right.
1) the problem:
http://www.webassign.net/cgi-bin/sym...%29%5C%29%20dx
the attempted solution:
http://i44.tinypic.com/2r41mbc.png
* I rewrote the problem as $19\; \left( x^{3} \right)^{\f... | 5 | [
-0.06103515625,
0.025146484375,
-0.0260009765625,
0.03076171875,
0.02685546875,
-0.0615234375,
-0.017822265625,
-0.0361328125,
-0.0135498046875,
0.021484375,
0.0908203125,
0.016845703125,
-0.0107421875,
0.1337890625,
0.01177978515625,
0.06591796875,
-0.11572265625,
-0.0122680664062... | 16,500 | 16500 | |
2-adic expansions of inverse powers of 3
August 7th 2013, 12:54 AM #1
MHF Contributor
Joined
Nov 2010
Posts
1,765
Thanks
683
2-adic expansions of inverse powers of 3
I am trying to teach myself about p-adic numbers, and I came across an interesting property. Consider the following expansions:
\d... | 5 | [
-0.0595703125,
-0.07275390625,
-0.0133056640625,
0.037841796875,
0.0673828125,
-0.1005859375,
0.044921875,
0.064453125,
0.0018768310546875,
-0.061767578125,
-0.0038604736328125,
-0.02783203125,
-0.013427734375,
0.0311279296875,
-0.018310546875,
0.0025634765625,
-0.0308837890625,
-0... | 16,501 | 16501 | |
Nonlinear Functional Analysis of Boundary Value Problems 2013
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 754976, 3 pages
http://dx.doi.org/10.1155/2014/754976
Editorial
Nonlinear Functional Analysis of Boundary Value Problems 2013
^1Curtin University, Perth, WA 6845, Australia
^2Qufu Normal Univers... | 4 | [
-0.03466796875,
0.0206298828125,
-0.005645751953125,
-0.004486083984375,
-0.03662109375,
-0.02001953125,
-0.0216064453125,
0.0203857421875,
0.0220947265625,
0.034423828125,
0.01190185546875,
0.031982421875,
0.0038299560546875,
0.025390625,
-0.028564453125,
0.0302734375,
-0.0311279296... | 16,502 | 16502 | |
Extension of the formality theorem?
up vote 6 down vote favorite
4
The following question came up in a discussion the other day and I have been wondering whether something is known about it. Everything below takes place over $\mathbb{C}$. I don't have the expertise
to know if this is trivial or of interest. Suppose a ... | 4 | [
-0.134765625,
0.0576171875,
0.050048828125,
0.0223388671875,
-0.0167236328125,
0.0810546875,
-0.032470703125,
0.005584716796875,
0.00567626953125,
-0.0036468505859375,
0.0291748046875,
-0.05810546875,
-0.1240234375,
-0.014404296875,
0.0986328125,
0.03466796875,
-0.033447265625,
0.0... | 16,503 | 16503 | |
independant proof
July 26th 2011, 02:50 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
independant proof
there is $\{y_{1}..y_{n}\}$ a group of vectors in $R^{n}$ ,there is $\{u_{1}..u_{n}\}$ orthonormal basis of $R^{n}$.
the first part i have proved that for $\lambda_{1}..\lambda_{n}\$ in R
$... | 5 | [
-0.01336669921875,
-0.0101318359375,
0.00531005859375,
-0.072265625,
0.0250244140625,
0.0517578125,
0.07177734375,
-0.06396484375,
-0.045166015625,
-0.0654296875,
-0.01470947265625,
0.07470703125,
-0.044189453125,
-0.01507568359375,
0.01348876953125,
0.0286865234375,
0.03564453125,
... | 16,504 | 16504 | |
systems of linear equations
April 3rd 2007, 01:46 AM #1
systems of linear equations
1. A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of
each type of bean should be used ... | 4 | [
-0.01611328125,
0.0517578125,
-0.03857421875,
-0.039794921875,
-0.0169677734375,
0.00897216796875,
0.022705078125,
0.02099609375,
-0.046875,
0.06689453125,
0.03759765625,
-0.051513671875,
0.0400390625,
-0.0025787353515625,
0.046875,
0.0133056640625,
-0.0286865234375,
0.021850585937... | 16,505 | 16505 | |
Blind Deconvolution for Jump-Preserving Curve Estimation
Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 350849, 9 pages
http://dx.doi.org/10.1155/2010/350849
Research Article
Blind Deconvolution for Jump-Preserving Curve Estimation
^1Department of Information Science, Faculty of Science, Xi'an J... | 4 | [
-0.126953125,
-0.09716796875,
0.072265625,
0.07177734375,
0.01611328125,
-0.0164794921875,
-0.01336669921875,
-0.038818359375,
0.0225830078125,
-0.006988525390625,
0.0252685546875,
0.00836181640625,
0.028076171875,
-0.034423828125,
-0.10107421875,
0.007781982421875,
-0.0751953125,
... | 16,506 | 16506 | |
-Laplacian Problems with a Singular Weight and Its Application
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 502756, 9 pages
http://dx.doi.org/10.1155/2014/502756
Research Article
Three Solutions Theorem for -Laplacian Problems with a Singular Weight and Its Application
^1Department of Mathematics, Pu... | 5 | [
-0.107421875,
0.0194091796875,
0.05517578125,
-0.005462646484375,
0.0284423828125,
0.0072021484375,
0.0634765625,
-0.045654296875,
0.0130615234375,
-0.022216796875,
0.06396484375,
0.00103759765625,
0.01116943359375,
0.0296630859375,
-0.06298828125,
-0.0223388671875,
-0.05126953125,
... | 16,507 | 16507 | |
differencial equations
May 18th 2007, 12:16 PM
harry
differencial equations
1.A fruit fly population of 182 flies is in a closed container. The number of flies grows exponentially, reaching 340 in 18 days. Find the doubling time (time for the population to double) to the
nearest tenth of a day.
19.9 day... | 5 | [
0.0242919921875,
0.052734375,
0.021728515625,
0.0172119140625,
-0.0498046875,
-0.06640625,
-0.03466796875,
0.0693359375,
-0.0027923583984375,
0.09130859375,
0.09326171875,
-0.08740234375,
0.006591796875,
0.0390625,
0.01806640625,
-0.006011962890625,
-0.06982421875,
-0.052490234375,... | 16,508 | 16508 | |
LCM and HCF of Algebric Expressions
October 6th 2009, 04:07 AM
saberteeth
LCM and HCF of Algebric Expressions
(Hi),
What is the method to find the LCM and HCF of the following expressions?
$x^3 - 2x^2 - 13x -10$ and $x^3 - x^2 -10x - 8$
October 6th 2009, 05:01 AM
ramiee2010
$P(x)=x^3 - x^2 -10x - ... | 4 | [
-0.0625,
-0.01519775390625,
0.003387451171875,
-0.046630859375,
0.05712890625,
0.1044921875,
-0.005584716796875,
0.046142578125,
-0.0478515625,
-0.0458984375,
0.053466796875,
-0.0260009765625,
0.06103515625,
0.0419921875,
0.005584716796875,
-0.027099609375,
-0.0250244140625,
0.0478... | 16,509 | 16509 | |
Rotational Motion and linear accerlation
Doc Al
What's the definition of torque?
Well mathematically [tex]\tau = r \times F[/tex] ... with r being radius and F being force
I suppose that means that torque is force applied radially. So wouldn't that mean that the torque of the tape around the cylinder affect the te... | 4 | [
-0.10986328125,
-0.04541015625,
-0.07861328125,
-0.043701171875,
-0.01556396484375,
0.0791015625,
0.0478515625,
0.1015625,
0.049560546875,
-0.00653076171875,
0.0216064453125,
0.041259765625,
0.0595703125,
0.051025390625,
-0.09716796875,
0.026611328125,
-0.0206298828125,
0.062255859... | 16,510 | 16510 | |
Lagrange approximation
Hello, i have done the following code in c++ which gives me a result but :
1) I compute the product "prod*=(y-x[i])/(x[k]-x[i])" which has variable "y" inside ,but the result i take is just a number.(i want the result to be for example in this form "p(x)=1.02*x^3+2*x^2..."
I can't understand ho... | 4 | [
-0.056396484375,
0.01171875,
-0.00628662109375,
-0.06787109375,
-0.017333984375,
0.0169677734375,
0.10498046875,
0.041259765625,
0.031982421875,
0.01116943359375,
0.05615234375,
0.0262451171875,
0.04345703125,
-0.0732421875,
0.03466796875,
-0.026611328125,
0.00543212890625,
-0.0334... | 16,511 | 16511 | |
Phi Function Proof
May 21st 2009, 03:08 PM #1
Newbie
Joined
May 2009
Posts
3
Phi Function Proof
Show that there are infinitely many integers n for which $\phi(n)$ is a perfect square. Hint: Consider $n = 2^{2k + 1}$
I'm trying a proof by induction but I get stuck when considering the k + 1th term.
... | 4 | [
0.013916015625,
0.05078125,
0.05810546875,
0.0986328125,
-0.00921630859375,
0.024658203125,
0.005950927734375,
0.0615234375,
0.0267333984375,
0.03369140625,
-0.0634765625,
0.040771484375,
-0.0194091796875,
0.0238037109375,
-0.0751953125,
-0.04931640625,
-0.0235595703125,
-0.0417480... | 16,512 | 16512 | |
Integrally closed factor rings and projective modules
up vote 4 down vote favorite
1
I have a weird vision that comes from reading a paper by Raphael and Desrochers..
Let $R$ be commutative unitary semiprime ring such that for any integral and essential element $a$ of $R$, $R[a]$ is a projective $R$-module. I conject... | 4 | [
0.01031494140625,
0.000553131103515625,
-0.07958984375,
0.00311279296875,
0.09375,
-0.034423828125,
0.06884765625,
0.0179443359375,
-0.04638671875,
-0.0216064453125,
-0.06640625,
-0.0021514892578125,
0.045166015625,
0.083984375,
0.032470703125,
-0.033203125,
-0.022216796875,
0.0507... | 16,513 | 16513 | |
Rationals and irrationals - properties
November 1st 2012, 06:17 AM #1
Rationals and irrationals - properties
Hey guys!
So I have two questions which are similar, but not the same. The first asks me to prove that between any two distinct rational numbers there exists an irrational number - I haven't managed t... | 4 | [
-0.02392578125,
-0.027099609375,
0.046142578125,
-0.029296875,
-0.00634765625,
0.02001953125,
0.005584716796875,
0.0016632080078125,
0.060791015625,
-0.0400390625,
-0.004425048828125,
-0.036865234375,
0.08447265625,
0.0791015625,
0.0439453125,
0.035888671875,
0.05224609375,
-0.0137... | 16,514 | 16514 | |
Matrix Notation and Matrix Multiplication
February 8th 2011, 07:05 PM #1
Matrix Notation and Matrix Multiplication
If A and B are n by n matrices with all entries equal to 1, find $\ (ab)_{ij}$. Summation notation turns the product AB, and the law (AB)C=A(BC), into
$\\ (ab)_{ij}= \displaystyle \sum_{k}\ a_{ik... | 5 | [
-0.0859375,
0.003570556640625,
-0.040283203125,
-0.0189208984375,
-0.07568359375,
-0.0048828125,
0.03369140625,
-0.07275390625,
-0.0048828125,
0.01708984375,
-0.04296875,
-0.049072265625,
-0.01312255859375,
-0.0191650390625,
-0.018310546875,
0.140625,
-0.005706787109375,
0.11572265... | 16,515 | 16515 | |
A Path Planning Algorithm with a Guaranteed Distance Cost in Wireless Sensor Networks
International Journal of Distributed Sensor Networks
Volume 2012 (2012), Article ID 715261, 12 pages
http://dx.doi.org/10.1155/2012/715261
Research Article
A Path Planning Algorithm with a Guaranteed Distance Cost in Wireless Sensor... | 4 | [
-0.041259765625,
0.00299072265625,
-0.02880859375,
-0.0019683837890625,
0.026611328125,
-0.072265625,
-0.0498046875,
0.0439453125,
0.004364013671875,
0.0115966796875,
0.0216064453125,
0.04541015625,
0.08447265625,
-0.0810546875,
-0.0673828125,
0.01361083984375,
0.0380859375,
-0.036... | 16,516 | 16516 | |
Patente US4864205 - Method for coordinated control of motion devices
RELATED APPLICATION:
This application is a continuation-in-part Ser. No. 107,423 filed Oct. 9, 1987, now abandoned.
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention generally relates to motion control and, more particula... | 4 | [
-0.05517578125,
-0.0311279296875,
-0.04443359375,
-0.0654296875,
-0.06884765625,
0.025390625,
-0.017822265625,
0.048583984375,
0.07421875,
0.07666015625,
0.06787109375,
0.11083984375,
0.043212890625,
-0.06005859375,
-0.0478515625,
0.03173828125,
-0.060791015625,
0.06689453125,
-0... | 16,517 | 16517 | |
simple derivatives?
September 26th 2009, 09:25 AM #1
Newbie
Joined
Sep 2009
Posts
18
i absolutely LOVE derivatives. i CANNOT figure this one out. i have major trouble with square roots. >,<!!
f(x)= 1/√(x+2),, so find f'(a)
yeah. i know. simple right? i just can't figure out. i know its ^1/2 for t... | 5 | [
-0.00897216796875,
-0.058837890625,
0.04443359375,
0.05908203125,
-0.01129150390625,
-0.015869140625,
-0.08251953125,
0.004150390625,
0.06640625,
0.12060546875,
0.1298828125,
-0.020263671875,
0.01416015625,
0.036865234375,
-0.004058837890625,
0.050048828125,
-0.05712890625,
-0.0138... | 16,518 | 16518 | |
Limits and continuity
1. April 16th 2013, 11:44 PM #1
2. April 17th 2013, 01:31 AM #2
Re: Limits and continuity
How rigorous does this need to be? For instance, are you suppose to use the epsilon-delta definitions? It is very easy to apply in this case:
For all $\epsilon >0$, choose $\delta = \... | 5 | [
-0.053955078125,
0.0286865234375,
-0.031982421875,
-0.01190185546875,
0.037353515625,
0.09228515625,
0.09423828125,
0.01324462890625,
-0.0673828125,
-0.06494140625,
0.052734375,
-0.119140625,
0.04443359375,
-0.0634765625,
0.06396484375,
-0.126953125,
0.060546875,
-0.055419921875,
... | 16,519 | 16519 | |
Polynomials
11.4 Polynomials
A polynomial is a sum of terms which are coefficients times various powers of a “base” variable. For example, ‘2 x^2 + 3 x - 4’ is a polynomial in ‘x’. Some formulas can be considered polynomials in
several different variables: ‘1 + 2 x + 3 y + 4 x y^2’ is a polynomial in both ‘x’ and ‘y’.... | 4 | [
-0.00885009765625,
-0.041015625,
-0.04345703125,
0.032958984375,
0.029052734375,
0.033935546875,
-0.01177978515625,
-0.006683349609375,
0.0213623046875,
0.0146484375,
0.004791259765625,
-0.032958984375,
0.020263671875,
0.10107421875,
0.0228271484375,
0.0341796875,
-0.054931640625,
... | 16,520 | 16520 | |
Integration
$\int x^3 (1-x^2)^{-\frac{1}{2}}dx=\int \frac{x^3}{(1-x^2)^{\frac{1}{2}}}dx$ Let $u=(1-x^2)^{\frac{1}{2}}$ $du =\frac{-x dx}{(1-x^2)^{\frac{1}{2}}}$ and $x^2 = 1-u^2$ so $\int x^3 (1-x^2)^{-\frac{1}
{2}}dx=\int -(1-u^2)du=\frac{u^3}{3} - u = \frac{(1-x^2)^{\frac{3}{2}}}{3} - (1-x^2)^{\frac{1}{2}}$
Write, $... | 5 | [
0.06884765625,
-0.04638671875,
-0.02734375,
0.0213623046875,
-0.0218505859375,
-0.1357421875,
-0.0126953125,
-0.03564453125,
0.004180908203125,
0.015869140625,
-0.0361328125,
-0.006805419921875,
-0.01177978515625,
-0.0206298828125,
-0.052978515625,
0.0064697265625,
0.00445556640625,
... | 16,521 | 16521 | |
Patent US5964827 - High-speed binary adder
BACKGROUND OF THE INVENTION
1. Technical Field
The present invention relates to an apparatus for data processing in general, and in particular to a binary adder. Still more particularly, the present invention relates to a high-speed
carry-lookahead binary adder.
2. Descript... | 4 | [
-0.060546875,
-0.009765625,
-0.0634765625,
-0.06640625,
-0.0751953125,
-0.052001953125,
0.03564453125,
-0.0079345703125,
-0.0341796875,
0.00555419921875,
0.0123291015625,
0.004791259765625,
0.06494140625,
-0.08984375,
-0.01953125,
0.06689453125,
0.006561279296875,
0.031982421875,
... | 16,522 | 16522 | |
Patent US6643374 - Duty cycle corrector for a random number generator
FIELD OF THE INVENTION
The present invention relates generally to computer security, and more specifically to generating an approximately uniform duty cycle in a random number generator.
BACKGROUND OF THE INVENTION
Random number generator circuits... | 4 | [
-0.09423828125,
0.042724609375,
-0.1064453125,
-0.03759765625,
-0.07373046875,
-0.0264892578125,
0.06884765625,
-0.04638671875,
0.0791015625,
0.0001068115234375,
-0.0137939453125,
0.07373046875,
0.10400390625,
-0.08251953125,
-0.0390625,
-0.03125,
-0.0390625,
0.031982421875,
-0.0... | 16,523 | 16523 | |
If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest
Author Message
TAGS:
If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest [#permalink] 10 Dec 2010, 06:20
... | 4 | [
0.0111083984375,
0.041015625,
-0.0196533203125,
-0.056884765625,
0.03173828125,
0.03662109375,
0.115234375,
0.0791015625,
0.00335693359375,
-0.00022792816162109375,
-0.003265380859375,
0.037841796875,
0.076171875,
0.02392578125,
-0.1279296875,
0.08349609375,
0.0052490234375,
-0.019... | 16,524 | 16524 | |
Multiplying Polynomials by Monomials
Multiplying polynomials by monomials is an application of the distributive property. You know that 3(2x + 5) = 3(2x) + 3(5) = 6x + 15. You also know that (3x)(2x) = 6x2. Using these principles
together reveals that 3x(2x + 5) = (3x)(2x) + (3x)(5) = 6x2 + 15x. Extending the distribu... | 4 | [
-0.0296630859375,
0.027099609375,
0.0869140625,
0.0478515625,
-0.017822265625,
-0.000759124755859375,
0.045166015625,
-0.052978515625,
-0.03271484375,
0.08154296875,
0.005950927734375,
-0.10302734375,
0.0211181640625,
-0.034423828125,
0.01019287109375,
0.045166015625,
-0.1083984375,
... | 16,525 | 16525 | |
Use Riemann sums and a limit to compute the exact area under the curve.
December 5th 2012, 10:37 PM #16
Re: Use Riemann sums and a limit to compute the exact area under the curve.
Once I have the form:
$A_n=\frac{(n+1)(11n+1)}{6n^2}$
I know it is of the form:
$A_n=\frac{11n^2+\cdots}{6n^2}$
an... | 5 | [
-0.056884765625,
0.02099609375,
-0.0118408203125,
0.0498046875,
0.0208740234375,
0.0155029296875,
-0.043701171875,
0.078125,
-0.01953125,
-0.0400390625,
-0.04052734375,
0.0218505859375,
-0.048095703125,
0.005523681640625,
-0.099609375,
-0.0634765625,
-0.0023193359375,
0.0146484375,... | 16,526 | 16526 | |
Check my work on Taylor series?
May 10th 2009, 06:15 PM #1
Newbie
Joined
Mar 2009
Posts
10
Find the first 4 terms (k=0,1,2,3) of the Taylor polynomial for f(x) = sin(x) centered at c=(pi/4)
sin(x) = Sum(k-->0 to inf)[((-1)^k * x^(2k+1))/((2k+1)!)]
[f^(k) * (c) * (x^(2k+1))] / (k!)
^^^^ f^(k)... | 5 | [
-0.0133056640625,
-0.0311279296875,
-0.040283203125,
0.039306640625,
-0.0186767578125,
0.0303955078125,
-0.0028228759765625,
-0.0595703125,
0.0198974609375,
0.0478515625,
0.04443359375,
-0.11279296875,
-0.0289306640625,
-0.004150390625,
-0.052490234375,
-0.0093994140625,
-0.030029296... | 16,527 | 16527 | |
Relate Rates Problem
December 3rd 2012, 07:50 PM #1
Newbie
Joined
Dec 2012
From
california
Posts
4
Relate Rates Problem
Here is the question I am having trouble with:
The sun is passing over a 100 m tall building. The angle θ made by the sun with the ground is increasing at a rate of pi/20 rads/m... | 4 | [
-0.0126953125,
0.06005859375,
0.0142822265625,
0.0059814453125,
0.0172119140625,
-0.0732421875,
-0.0888671875,
0.053955078125,
0.0390625,
-0.00182342529296875,
0.1279296875,
-0.06591796875,
0.01373291015625,
0.06201171875,
0.05712890625,
0.01031494140625,
-0.040283203125,
0.0256347... | 16,528 | 16528 | |
Patent US20030229445 - Low-cost, low-power geolocation system
REFERENCE OF RELATED APPLICATIONS
[0001] This application claims the benefit of U.S. Provisional Patent Application Serial No. 60/380,216, filed on May 13, 2002, and entitled “Low-Cost, Low-Power Geolocation System,” the entire
contents of which are incorpo... | 4 | [
-0.08642578125,
0.02685546875,
-0.041748046875,
-0.08935546875,
-0.07373046875,
0.004058837890625,
0.044921875,
0.0849609375,
0.046142578125,
-0.017578125,
0.0010528564453125,
0.08349609375,
0.07763671875,
-0.055419921875,
-0.0595703125,
0.005584716796875,
0.08447265625,
0.05200195... | 16,529 | 16529 | |
candy, weights, distributions, yum
May 15th 2008, 05:35 PM
harbong
candy, weights, distributions, yum
so I have a stats problem that I can't figure out.
Assume that the distribution of mints produced with a label weight of 20.4 is N(21.34, .16)
15 mints are selected independently. let Y be the number o... | 4 | [
-0.0262451171875,
0.049072265625,
0.029052734375,
0.032958984375,
0.0084228515625,
0.004241943359375,
0.032470703125,
0.062255859375,
-0.0201416015625,
0.0198974609375,
0.04052734375,
-0.02685546875,
0.01141357421875,
0.0208740234375,
0.09130859375,
0.00994873046875,
0.08740234375,
... | 16,530 | 16530 | |
How do I remove these discontinuities?
September 24th 2010, 07:53 AM
iluvmathbutitshard
How do I remove these discontinuities?
So I understand how to find where a discontinuity is, but I am not sure how to remove it. Any tips?
Question 1: Identify and remove the discontinuities of f(x) = [sin(x+1) / tan(x+1... | 4 | [
-0.03173828125,
0.0595703125,
-0.050048828125,
0.03759765625,
0.00958251953125,
0.0693359375,
0.02001953125,
-0.06494140625,
0.01153564453125,
-0.0810546875,
0.09912109375,
-0.06689453125,
-0.0289306640625,
0.0230712890625,
-0.000469207763671875,
-0.051025390625,
-0.0458984375,
-0.... | 16,531 | 16531 | |
1.4.2
1.4.2 Positioning Strategies
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ RECEIVER-BIASED RANGE POSITIONING ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
The observation equation for a receiver-biased range is (eqn (1.3-14)):
where c is the speed of electromagnetic radiation, d:
(x^s x)^2 + (y^s y)^2 + (z^s z)^... | 4 | [
0.006103515625,
0.04248046875,
0.0010223388671875,
-0.01513671875,
0.0693359375,
-0.024169921875,
0.04296875,
-0.0220947265625,
0.031982421875,
0.05712890625,
0.060546875,
0.011474609375,
0.12255859375,
-0.011962890625,
-0.01361083984375,
0.0361328125,
0.005340576171875,
0.02893066... | 16,532 | 16532 | |
Simple Differential Equations Question
April 1st 2010, 04:55 PM #1
Junior Member
Joined
Mar 2009
Posts
26
Simple Differential Equations Question
I need help finding the solution to this differential equation.
dz/dt = 9te^(4z)
I cross multiply so that it becomes: dz/e^(4z) = 9t dt
From here... | 5 | [
0.0029449462890625,
0.046142578125,
0.017578125,
-0.007415771484375,
0.01416015625,
0.0084228515625,
-0.01043701171875,
0.07177734375,
-0.05517578125,
0.0169677734375,
0.03662109375,
-0.0830078125,
0.00933837890625,
0.07861328125,
-0.037353515625,
0.0205078125,
-0.02978515625,
-0.0... | 16,533 | 16533 | |
Rope Falling Off Table
1. The problem statement, all variables and given/known data
A (smooth) rope of length L and mass m is placed above a hole in a table. One end of the rope falls through the hole, pulling steadily on the remainder of the rope. Find the velocity of the rope as a
function of the distance to the end... | 5 | [
-0.0103759765625,
0.040283203125,
0.07861328125,
-0.0322265625,
0.0152587890625,
0.0164794921875,
0.0223388671875,
0.06591796875,
-0.051025390625,
0.1328125,
0.0966796875,
-0.0205078125,
0.025146484375,
0.0299072265625,
-0.0595703125,
0.11669921875,
-0.0625,
0.0615234375,
-0.0297... | 16,534 | 16534 | |
I'm so long on this one...
September 25th 2007, 10:34 AM #1
Junior Member
Joined
Sep 2007
Posts
64
I'm so long on this one...
If f is one-to-one, twice differentiable fucntion with inverse function g, show that
$g''(x) = -\frac{f''(g(x))}{[f'(g(x))]^3}$
What is this asking me to do?
Also d... | 5 | [
-0.05126953125,
-0.044677734375,
0.09814453125,
0.0052490234375,
-0.040283203125,
-0.080078125,
0.060546875,
-0.004364013671875,
0.01312255859375,
0.09326171875,
0.02197265625,
-0.03662109375,
0.08447265625,
-0.06640625,
-0.0223388671875,
0.029541015625,
0.0322265625,
0.01300048828... | 16,535 | 16535 | |
Kernels and homomorphism of groups
April 20th 2009, 08:36 PM #1
Junior Member
Joined
Sep 2008
From
Boston, Massachusetts
Posts
41
Kernels and homomorphism of groups
Let $(G,*)$ and $(H, \circ)$ be any two groups, and let $f:G$ x $H \rightarrow \ G$ be given by $f(g,h) = g$. Prove that f is a homomorp... | 5 | [
-0.015869140625,
0.045166015625,
0.0111083984375,
-0.04931640625,
0.03271484375,
-0.00836181640625,
0.0036163330078125,
-0.0185546875,
-0.03662109375,
-0.0830078125,
0.057373046875,
-0.07763671875,
-0.03662109375,
-0.030517578125,
0.0498046875,
0.031982421875,
-0.054443359375,
0.02... | 16,536 | 16536 | |
Geometric example of a group
November 26th 2009, 02:38 AM #1
Junior Member
Joined
Oct 2008
Posts
54
Geometric example of a group
Hi,
I need to come up with a geometric example of a group. I've been given an example, the set of all symmetries of an equilateral triangle. But I then have to show that t... | 4 | [
-0.03857421875,
0.032470703125,
-0.00067901611328125,
-0.047119140625,
-0.0703125,
-0.07763671875,
0.0810546875,
-0.07421875,
0.00482177734375,
-0.04296875,
0.060302734375,
-0.08935546875,
0.051025390625,
-0.06494140625,
0.0927734375,
0.028076171875,
-0.0281982421875,
0.00020122528... | 16,537 | 16537 | |
The Reality of Relativity
yogi
Jesse - Do i beleive in Lorentz invarience - yes and no - how is that for a fence sitter.
I don't think you understand, yogi. "Lorentz-invariance" is just a mathematical property of certain equations, deciding whether or not a given equation shows Lorentz-invariance is as straightforwar... | 4 | [
-0.0849609375,
-0.0654296875,
0.056396484375,
-0.00714111328125,
0.01708984375,
-0.06298828125,
0.017578125,
-0.0291748046875,
0.0185546875,
-0.041259765625,
0.05859375,
0.0130615234375,
-0.037841796875,
0.03515625,
-0.00738525390625,
0.044677734375,
-0.037841796875,
0.150390625,
... | 16,538 | 16538 | |
Investigation of the Effect of Noise Correlations on Diversity Gains and Capacities of Multiport Antennas Using Reverberation Chamber
International Journal of Antennas and Propagation
Volume 2012 (2012), Article ID 486730, 9 pages
http://dx.doi.org/10.1155/2012/486730
Research Article
Investigation of the Effect of N... | 4 | [
0.02734375,
-0.06640625,
-0.024169921875,
-0.004058837890625,
-0.00274658203125,
-0.006744384765625,
-0.045654296875,
-0.078125,
-0.00994873046875,
-0.0245361328125,
-0.0267333984375,
0.056884765625,
0.07958984375,
-0.037353515625,
0.0034942626953125,
0.015625,
0.0142822265625,
-0.... | 16,539 | 16539 | |
What is the Gamma Function? What is Gamma of 4?
Associated Topics || Dr. Math Home || Search Dr. Math
What is the Gamma Function? What is Gamma of 4?
... | 5 | [
0.068359375,
0.0023956298828125,
0.061767578125,
-0.0081787109375,
-0.1005859375,
0.015869140625,
0.0732421875,
0.0732421875,
-0.0147705078125,
0.0291748046875,
0.010009765625,
-0.010986328125,
0.007232666015625,
0.08251953125,
-0.056396484375,
0.0289306640625,
-0.00836181640625,
-... | 16,540 | 16540 | |
Math Help
February 12th 2006, 10:43 AM #1
Junior Member
Joined
Oct 2005
Posts
50
2, 5, 8, 11, 14...
How can I prove that no square number can be in the sequence?
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98, 101, 104... | 4 | [
-0.048828125,
0.05712890625,
0.060546875,
-0.054931640625,
0.001983642578125,
0.1044921875,
-0.0279541015625,
0.0179443359375,
-0.01031494140625,
-0.00433349609375,
-0.02099609375,
0.09521484375,
0.0322265625,
0.0023956298828125,
-0.09765625,
-0.0654296875,
0.0030364990234375,
-0.0... | 16,541 | 16541 | |
simple exponential question
August 27th 2005, 09:19 PM
michael5139
simple exponential question
Hi All,
if I have a function
y = (x-2)^5
how can I express it in terms of y, ie
x = (some magical thing with y)
Thanks for your help
Michael
August 27th 2005, 10:00 PM
ticbol
In oth... | 4 | [
-0.048583984375,
0.003997802734375,
0.019775390625,
0.07080078125,
0.0177001953125,
-0.0654296875,
-0.0186767578125,
-0.08447265625,
-0.01446533203125,
0.07568359375,
0.064453125,
-0.0010528564453125,
-0.000766754150390625,
0.06103515625,
0.10888671875,
0.11376953125,
-0.08154296875,... | 16,542 | 16542 | |
I need someone to create a function with certain features
September 28th 2010, 06:16 AM
nathanf534
I need someone to create a function with certain features
I need a function f(x), that uses a as a constant.
-1<a<1
I need:
f(-1)=0
f(1)=1
f(a)=.5
The function must always have a positive... | 5 | [
-0.087890625,
-0.05419921875,
0.002838134765625,
-0.0091552734375,
-0.06396484375,
-0.034423828125,
0.02294921875,
-0.00238037109375,
-0.0810546875,
0.045166015625,
0.078125,
-0.018798828125,
0.01953125,
0.087890625,
0.009521484375,
0.058349609375,
-0.03466796875,
-0.02783203125,
... | 16,543 | 16543 | |
laplace transform(t^2cos(t))=
April 20th 2011, 05:45 PM
linalg123
laplace transform(t^2cos(t))=
= (-1)^2 (d^2/ds^2) laplace(cos(t))
= (d^2/ds^2) (s/(s^2+1))
= (d/ds) [-2s^2(s^2+1)^-2 + (s^2+1)^-1]
= 8s^3/ (s^2+1)^3 - 6s/(s^2+1)^2
thats the answer i got but the answer in the book says (2s^3 - ... | 5 | [
-0.09375,
0.0810546875,
0.014404296875,
-0.0162353515625,
0.0250244140625,
0.0322265625,
-0.1484375,
0.00982666015625,
0.052001953125,
-0.050048828125,
0.07373046875,
0.0123291015625,
-0.0225830078125,
-0.030517578125,
-0.042236328125,
-0.09716796875,
-0.06884765625,
0.046875,
-0... | 16,544 | 16544 | |
Numerical integration over a hemisphere
September 18th 2008, 04:36 AM #1
Newbie
Joined
Sep 2008
Posts
8
Numerical integration over a hemisphere
Dear all,
I am trying to solve the following problem:
A function is given on the surface of a unity hemisphere, and I need to find an efficient way to n... | 5 | [
0.0255126953125,
0.03271484375,
0.0546875,
-0.09765625,
0.036376953125,
-0.10888671875,
-0.0283203125,
0.038818359375,
-0.064453125,
0.0185546875,
-0.034912109375,
-0.02001953125,
0.0380859375,
0.009521484375,
-0.0107421875,
-0.0517578125,
0.005859375,
0.0546875,
-0.0013275146484... | 16,545 | 16545 | |
Parallel Circuits
As mentioned in a previous section of Lesson 4, two or more electrical devices in a circuit can be connected by series connections or by parallel connections. When all the devices are connected using
parallel connections, the circuit is referred to parallel circuit. In a parallel circuit, each device ... | 5 | [
-0.029052734375,
-0.0191650390625,
-0.00604248046875,
0.0034332275390625,
-0.0031280517578125,
-0.021240234375,
-0.0869140625,
0.07275390625,
0.11181640625,
0.0181884765625,
0.0693359375,
0.0198974609375,
0.1005859375,
-0.0172119140625,
0.0078125,
-0.003204345703125,
-0.14453125,
0... | 16,546 | 16546 | |
Applied trig problem
December 16th 2009, 07:06 AM
clayson
Applied trig problem
Hey need an explanation of how to go about this problem:
An aircraft is sighted due west from a radar station at an elevation of 50 degrees at a height of 8000m and later at an elevation of 39 degrees and a height of 6000m on a b... | 4 | [
-0.03466796875,
0.1171875,
-0.005615234375,
-0.07763671875,
-0.004425048828125,
0.011474609375,
-0.0625,
0.0751953125,
-0.0908203125,
0.042236328125,
0.076171875,
-0.018310546875,
0.04736328125,
0.01513671875,
0.035888671875,
0.025390625,
-0.037841796875,
0.0198974609375,
-0.0693... | 16,547 | 16547 | |
Rational Powers
April 5th 2010, 07:39 PM #1
Rational Powers
Course: Advanced Calculus aka Real Analysis
Prove that, for a positive number $x$ and integers $m$and $n$,
$(x^{\frac{1}{n}})^m = (x^m)^{\frac{1}{n}}$
How is this proof done?
I tried this:
$(x^{\frac{1}{n}})^m = (x^{\frac{1}{kn}}... | 4 | [
0.0634765625,
0.045166015625,
-0.06396484375,
0.08544921875,
-0.055908203125,
-0.0849609375,
0.0517578125,
-0.05908203125,
-0.0084228515625,
-0.0269775390625,
-0.03173828125,
-0.0299072265625,
0.09765625,
0.048828125,
0.02734375,
0.08544921875,
-0.0032806396484375,
0.01434326171875... | 16,548 | 16548 | |
equztion of tangent
December 15th 2008, 08:15 AM #1
Banned
Joined
Dec 2008
Posts
15
equztion of tangent
(a) Find equation of the tangent line and the normal line to the curve
y
= (3x -2)e^-xat the point (0;-2);
(b) Find dy/dx given that cos(x + y) + y = 0.
Tangents and normals... | 5 | [
-0.107421875,
-0.0244140625,
0.0361328125,
-0.056640625,
0.07958984375,
0.0159912109375,
0.021484375,
0.068359375,
-0.039794921875,
0.07666015625,
0.138671875,
-0.1240234375,
0.017578125,
-0.06591796875,
0.032958984375,
0.02392578125,
-0.06787109375,
-0.01214599609375,
0.02258300... | 16,549 | 16549 | |
QM Density Matrix Question
We have a spin state described by a time-dependent density matrix
[tex]\rho(t) = \frac{1}{2}\left(\mathbf{1}+\mathbf{r}(t)\cdot \mathbf{\sigma} \right)[/tex]
Initial condition for the motion is [tex]\mathbf{r} = \mathbf{r}_0[/tex] at [tex]t = 0[/tex]. We are then asked to give a general exp... | 4 | [
-0.09765625,
0.00469970703125,
-0.0052490234375,
0.024658203125,
-0.033935546875,
0.07470703125,
0.0157470703125,
-0.0810546875,
-0.042236328125,
0.008056640625,
0.03173828125,
-0.0147705078125,
0.036865234375,
0.0810546875,
-0.037353515625,
0.043212890625,
-0.007354736328125,
0.01... | 16,550 | 16550 | |
Testing if a property belongs to all members of a set without trying each one
December 31st 2009, 02:32 PM
Andre
Testing if a property belongs to all members of a set without trying each one
Assume the following assertions:
$a$, $b$ and $c$ are positive integers.
$b > 1$
$b^{\lceil\log_b(2^a)\rcei... | 4 | [
0.029541015625,
0.04345703125,
-0.0166015625,
-0.0198974609375,
-0.0189208984375,
-0.035888671875,
-0.02490234375,
0.036865234375,
0.01202392578125,
0.06591796875,
-0.1142578125,
-0.10693359375,
0.045654296875,
0.03271484375,
0.06494140625,
0.0830078125,
-0.046142578125,
0.05249023... | 16,551 | 16551 | |
Green's Theorem
January 29th 2007, 05:36 PM #1
Newbie
Joined
Nov 2006
Posts
19
Green's Theorem
I just posted something with this but now I want to use Green's Theorem:
Compute the following three line integrals directly around the boundary C of the part R of the interior ellipse (x^2/a^2)+(y^2/b^2)=... | 5 | [
-0.036865234375,
-0.011962890625,
-0.01348876953125,
-0.103515625,
0.046875,
-0.02587890625,
-0.03271484375,
0.053466796875,
-0.043701171875,
-0.0225830078125,
-0.01470947265625,
0.00946044921875,
-0.01043701171875,
-0.04345703125,
0.07080078125,
0.09765625,
-0.04638671875,
-0.0673... | 16,552 | 16552 | |
Patent US5097155 - Switched-current differentiators and filters
FIELD OF INVENTION
This invention relates to circuits and filters for MOS technology, particularly for use in analog signal processing.
BACKGROUND OF THE INVENTION
Switched capacitor (SC) circuit technique is widely used in analog sampled-data signal pr... | 4 | [
-0.11083984375,
0.02294921875,
-0.0206298828125,
-0.0191650390625,
0.0038604736328125,
-0.07275390625,
0.11279296875,
0.0576171875,
-0.0308837890625,
0.00933837890625,
0.0015106201171875,
-0.0299072265625,
0.0198974609375,
0.000247955322265625,
-0.08447265625,
0.03466796875,
-0.00616... | 16,553 | 16553 | |
Physics Forums - Gravity shift due to sun & moon passing overhead
corndodger Dec10-12 08:17 AM
Gravity shift due to sun & moon passing overhead
I would like to know a function or at least an approach toward developing a function that describes the change of gravity on the earth's surface due to the sun, moon and... | 4 | [
-0.040771484375,
0.03125,
0.09814453125,
-0.0184326171875,
0.064453125,
-0.00830078125,
-0.02734375,
-0.027587890625,
-0.03271484375,
0.036376953125,
0.07177734375,
-0.0810546875,
-0.033935546875,
-0.033203125,
0.07763671875,
0.041259765625,
0.004852294921875,
0.08544921875,
-0.0... | 16,554 | 16554 | |
Techniques of integration (5)
$\int \left(x \ln x - \frac{(n-1)!}{x^n} \right)e^x \ dx = ?$
I bet there is a better way First lets break this up a bit $<br /> \int x\ln(x)e^xdx-(n-1)!\int x^{-n}e^xdx<br />$ Lets focus on the 2nd integral to start $(n-1)!\int x^{-n}e^xdx$ so if we integrate
by parts with $u=e^x \implie... | 5 | [
-0.0260009765625,
0.046630859375,
0.045654296875,
-0.050537109375,
0.00787353515625,
-0.02490234375,
-0.029296875,
-0.01300048828125,
-0.036865234375,
-0.043212890625,
-0.0198974609375,
-0.0556640625,
-0.0299072265625,
-0.08154296875,
-0.0172119140625,
-0.06982421875,
0.0380859375,
... | 16,555 | 16555 | |
Master-Slave Synchronization of Stochastic Neural Networks with Mixed Time-Varying Delays
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 730941, 18 pages
http://dx.doi.org/10.1155/2012/730941
Research Article
Master-Slave Synchronization of Stochastic Neural Networks with Mixed Time-Varying Delay... | 5 | [
-0.07421875,
-0.013671875,
0.02978515625,
0.03759765625,
0.00927734375,
-0.045654296875,
0.0027313232421875,
-0.05859375,
-0.0211181640625,
-0.048828125,
0.044921875,
0.01104736328125,
0.038330078125,
-0.10400390625,
-0.12109375,
0.0576171875,
-0.0283203125,
-0.000522613525390625,
... | 16,556 | 16556 | |
Circle Geometry: Determine Size of Angle in Terms of Unknown
July 11th 2010, 05:29 PM #1
Member
Joined
Jul 2009
Posts
132
Circle Geometry: Determine Size of Angle in Terms of Unknown
A chord BC and the diameter from A meet at a point P such that OC = CP. If angle CPO = a, prove that angle AOB = 3a. This ... | 4 | [
-0.036376953125,
0.03759765625,
-0.037109375,
-0.00616455078125,
-0.047119140625,
0.0032501220703125,
0.04052734375,
0.058837890625,
0.049560546875,
0.000484466552734375,
0.0966796875,
-0.0947265625,
0.03271484375,
-0.0498046875,
0.042724609375,
0.040283203125,
0.021484375,
0.02050... | 16,557 | 16557 | |
Help with a proof.
January 19th 2010, 07:26 PM #1
Newbie
Joined
Oct 2008
Posts
8
Help with a proof.
Hi, I'm stuck at proving the following question...
Prove that for all n>0,
1/2 + 2/2^2 + 3/2^3 + ... + n/2^n = 2 - (n+2)/2^n
I've tried all sorts of different ways of solving this, but to no... | 5 | [
-0.004852294921875,
0.034912109375,
0.055419921875,
0.11083984375,
0.0177001953125,
-0.0693359375,
-0.0172119140625,
0.0419921875,
-0.01361083984375,
-0.0172119140625,
-0.1767578125,
-0.12109375,
0.038330078125,
-0.06298828125,
-0.025634765625,
0.055908203125,
0.050048828125,
-0.00... | 16,558 | 16558 | |
Derivative of e.
October 27th 2009, 01:51 PM #1
Member
Joined
Jul 2009
Posts
149
Derivative of e.
Please check if i have done these correctly.
$f(x) = e^{-x^2}$
$f'(x) = -2xe^{-x^2}$
$f''(x)= -4x^2e^{-x^2} - 2e^{-x^2}$
Can i also write f''(x) as $-4e^{-x^2}x^2-2e^{-x^2}$ ??
Your... | 4 | [
0.038818359375,
0.0042724609375,
0.07763671875,
0.0103759765625,
0.005859375,
-0.03857421875,
-0.030517578125,
0.04638671875,
0.000934600830078125,
0.06396484375,
0.1640625,
-0.050537109375,
0.0673828125,
-0.054931640625,
-0.0031280517578125,
0.0042724609375,
0.0169677734375,
-0.02... | 16,559 | 16559 | |
a die is rolled...compute cov(x,y)
a die is rolled twice, let X be the sum of the outcomes and let Y be the first outcome minus the second outcome. Compute Cov(X,Y)
If $A$ is the outcome of your first roll and $B$ is the outcome of the second roll, then according to the question $X=A+B \; and\; Y=A-B$ Now use the prop... | 5 | [
0.01104736328125,
0.00390625,
-0.00555419921875,
-0.099609375,
-0.08984375,
0.06982421875,
0.048095703125,
-0.07568359375,
0.03173828125,
-0.000926971435546875,
0.034912109375,
0.01031494140625,
-0.006988525390625,
-0.01904296875,
0.051513671875,
0.0159912109375,
-0.056396484375,
0... | 16,560 | 16560 | |
Help Me
February 20th 2006, 04:15 PM
usm_67
Help Me
ok i know how to this but i donno if i did right
3y-x=3 and 4x+3y-18=0
-solve by graphing
-solve using algebra
-and formal check
February 20th 2006, 08:56 PM
earboth
Quote:
Originally Posted by usm_67
ok i know how to this bu... | 4 | [
-0.022216796875,
-0.0027008056640625,
-0.03076171875,
-0.040771484375,
0.01043701171875,
-0.0234375,
0.01361083984375,
-0.00180816650390625,
-0.04541015625,
-0.014404296875,
0.017822265625,
-0.041748046875,
0.0277099609375,
0.0203857421875,
0.014404296875,
0.0269775390625,
-0.0986328... | 16,561 | 16561 | |
Proof by induction
May 26th 2006, 08:44 AM #1
Senior Member
Joined
Apr 2006
Posts
290
Proof by induction
I need to proove by induction that for the Fibonacci sequence
(Fn * Fn+2) - (Fn+1)^2 = (-1)^n+1
Fn being a Fibonacci number
Is there anyone capable of doing this or know where on the in... | 5 | [
-0.10107421875,
0.0186767578125,
-0.0035400390625,
0.060546875,
-0.0118408203125,
-0.0113525390625,
-0.050537109375,
0.080078125,
0.023193359375,
-0.016845703125,
-0.005096435546875,
-0.0400390625,
-0.01544189453125,
0.060791015625,
-0.111328125,
-0.0908203125,
-0.06884765625,
0.01... | 16,562 | 16562 | |
Quadratics (Without Quadratic Formula)
October 8th 2007, 06:24 PM #1
Newbie
Joined
Oct 2007
Posts
8
Welll, I'm having some difficulties with some Quadratic Practice homework,
we haven't learnt the Quadratic formula yet, and we have a test tomorrow..
(This is Principals Math 11 by the way.)
... | 4 | [
-0.028564453125,
0.007537841796875,
-0.0026702880859375,
0.05419921875,
-0.0128173828125,
0.06396484375,
-0.05126953125,
-0.0147705078125,
0.027099609375,
0.009765625,
0.0927734375,
-0.06591796875,
0.0400390625,
0.024169921875,
0.005096435546875,
0.007659912109375,
-0.014892578125,
... | 16,563 | 16563 | |
Least and greatest function values
We are familiar with the least value, greatest value and range of the most standard functions of all origin. Consider constant, identity, reciprocal, modulus, greatest integer, least integer,
fraction part, trigonometric, inverse trigonometric, exponential and logarithmic functions. A... | 4 | [
-0.0291748046875,
0.02587890625,
-0.04833984375,
-0.06591796875,
-0.046875,
0.039794921875,
-0.041015625,
0.08447265625,
0.0439453125,
-0.002044677734375,
0.006195068359375,
-0.038330078125,
0.07568359375,
0.06298828125,
0.057861328125,
-0.11328125,
0.046142578125,
-0.059326171875,... | 16,564 | 16564 | |
Divisibility rule
Talk0
872pages on
this wiki
Template:Ambox/coreTemplate:Lead too short A divisibility rule is a shorthand way of discovering whether a given number is divisible by a fixed divisor without performing the division, usually by
examining its digits. Although there are divisibility tests for numbers in ... | 4 | [
-0.014404296875,
0.08056640625,
-0.034423828125,
-0.05517578125,
0.1396484375,
-0.00982666015625,
-0.00372314453125,
0.050048828125,
-0.005706787109375,
0.023681640625,
-0.0220947265625,
0.055419921875,
0.0172119140625,
0.06640625,
-0.06640625,
-0.0927734375,
-0.1181640625,
0.05151... | 16,565 | 16565 | |
MATH 101 problem solving
March 9th 2009, 06:21 AM
phillyfan09
MATH 101 problem solving
Just wanted to see if someone could help me out and show me the answer you got as well as your process for solving so as I can match it with my work...
PROBLEM:
"In the first problem, we found that Jen needed to writ... | 4 | [
-0.08349609375,
0.043701171875,
0.035888671875,
-0.0625,
-0.049560546875,
0.061767578125,
-0.00007486343383789062,
0.054443359375,
-0.056884765625,
0.030517578125,
0.00634765625,
0.03515625,
0.068359375,
0.019775390625,
-0.07666015625,
0.002838134765625,
-0.06005859375,
0.041748046... | 16,566 | 16566 | |
Physics Forums - View Single Post - Cos√x = cosx
Plutonium88
so sub sqrt x back in..
√x = -1/2 + √(1+8∏n)/2
square both sides
x = (-1+ √(1+8∏n))/2^2
x = (-1 + v(1+8∏n))(-1 + (√1+8∏n))
x = 8∏n - 2√(1+8∏n) + 2
You forgot about dividing by 4.
Plutonium88
Now presuming this is correct, how can i explain this,... | 4 | [
-0.0595703125,
0.040771484375,
0.0277099609375,
0.025146484375,
0.039306640625,
0.0177001953125,
0.00170135498046875,
0.08935546875,
0.055908203125,
-0.0281982421875,
0.06884765625,
-0.061279296875,
0.0211181640625,
0.078125,
-0.001678466796875,
-0.049560546875,
-0.045166015625,
-0... | 16,567 | 16567 | |
The principle behind throttling valves
Tony, the question you're asking is actually a very difficult one to understand in my opinion, but a very good question.
Most gasses when expanding through a throttling valve or other restriction, will decrease in temperature while a small number of gasses such as helium for exam... | 5 | [
-0.05712890625,
0.0294189453125,
-0.057373046875,
-0.0245361328125,
-0.005859375,
0.0191650390625,
-0.043212890625,
0.01031494140625,
-0.0028533935546875,
0.0069580078125,
-0.018310546875,
0.032470703125,
0.0054931640625,
-0.0289306640625,
0.031494140625,
-0.045654296875,
0.040283203... | 16,568 | 16568 | |
Finding the area of a cardioid
February 12th 2007, 03:23 PM
pakman
Finding the area of a cardioid
The problem states that S is the region inside the cardioid r = 6 - 6sin(theta)
It says we are to solve the problem by calculating Double integral r dr dtheta
I'm fairly comfortable solving double integral... | 5 | [
0.0272216796875,
0.00063323974609375,
-0.059814453125,
-0.0169677734375,
-0.026611328125,
-0.04736328125,
-0.07275390625,
0.12060546875,
0.028076171875,
-0.0654296875,
-0.021728515625,
0.0810546875,
-0.00970458984375,
0.03466796875,
0.04443359375,
-0.006805419921875,
-0.048583984375,... | 16,569 | 16569 | |
help with specific trinomials.
April 25th 2009, 09:29 PM #1
Newbie
Joined
Apr 2009
Posts
2
right, so i know how to do trinomials in a normal case with only one pronumeral.
a^2 + 2a + 1
(a+1)(a+1)
and i can do non-monic trinomials no problem too, problem for me is when i discover a trinomial ... | 4 | [
-0.0223388671875,
0.05859375,
0.037109375,
0.0234375,
-0.034423828125,
0.07958984375,
0.060302734375,
-0.05126953125,
0.04736328125,
-0.0045166015625,
-0.01116943359375,
-0.01171875,
0.0299072265625,
0.0751953125,
0.00189971923828125,
0.046630859375,
-0.0225830078125,
0.04370117187... | 16,570 | 16570 | |
Patent US20020149420 - Method and device of phase detection in phase modulation systems
BACKGROUND OF THE INVENTION
[0001] 1. Field of Invention
[0002] The invention relates to a phase detection method and its device and, in particular, to a phase detection method and its device used in phase modulation systems.
[00... | 4 | [
-0.056884765625,
0.10546875,
-0.08203125,
-0.03955078125,
0.028564453125,
0.017822265625,
0.006561279296875,
0.0537109375,
-0.007598876953125,
-0.045654296875,
-0.004547119140625,
0.02880859375,
0.05908203125,
-0.040283203125,
-0.006805419921875,
-0.0732421875,
-0.006500244140625,
... | 16,571 | 16571 | |
Fourier transform of a sinc function
December 4th 2011, 07:01 AM
halfnormalled
Fourier transform of a sinc function
I'm trying to show the fourier transform of a since function:
$f(x) = 2 sinc (2x)$
I can't figure out how to show this. I could just work through the integral of the fourier transform, bu... | 5 | [
-0.056396484375,
-0.001953125,
0.0654296875,
-0.017822265625,
0.041259765625,
0.0927734375,
-0.027587890625,
0.004669189453125,
-0.0283203125,
0.04541015625,
-0.006805419921875,
-0.08056640625,
-0.050048828125,
0.01708984375,
0.06884765625,
-0.0296630859375,
0.032958984375,
0.04785... | 16,572 | 16572 | |
Bond Yield and Bond Prices 17 Blackstock Econ 215
Bond Yields Questions:
These multiple choice questions willl determine the understanding you have on bond yields. I do not think any calculator is needed because it is all very simple addition and multiplication. Students
who are economics majors should pay careful att... | 5 | [
-0.048583984375,
0.00982666015625,
-0.1240234375,
-0.009521484375,
0.007598876953125,
0.016845703125,
-0.00592041015625,
0.042236328125,
0.03271484375,
0.01025390625,
0.00885009765625,
-0.06298828125,
-0.083984375,
0.04443359375,
-0.029541015625,
0.044921875,
-0.008544921875,
-0.00... | 16,573 | 16573 | |
parametric word problem
July 29th 2010, 08:36 PM #1
parametric word problem
1. A bug is moving along the line 3x + 4y = 12 with constant speed 5 units per second.
The bug crosses the x-axis when t=0 seconds. It crosses the y-axis later. When? t=1
Where is the bug when t=2? (-4 , 6) when t= -1? ( 8, -3)
... | 4 | [
-0.049560546875,
0.000957489013671875,
-0.057861328125,
-0.138671875,
-0.041748046875,
-0.0177001953125,
0.02734375,
0.0791015625,
-0.00653076171875,
0.00933837890625,
0.1396484375,
0.023681640625,
0.036865234375,
0.028564453125,
-0.08837890625,
0.04931640625,
-0.01129150390625,
-0... | 16,574 | 16574 | |
Patent US4588193 - Two-value playing cards
FIELD OF THE INVENTION
This invention relates to playing cards of the familiar generally rectangular type, each card of the deck having generally identical sizes and rear faces. The front faces denote different values and
suits, although they need not consist of the same valu... | 5 | [
-0.03662109375,
0.0810546875,
-0.05224609375,
-0.08203125,
-0.08447265625,
0.07275390625,
-0.01519775390625,
0.05859375,
-0.021484375,
-0.0260009765625,
-0.0751953125,
0.01141357421875,
-0.00055694580078125,
0.004547119140625,
-0.01470947265625,
-0.032470703125,
0.003662109375,
0.0... | 16,575 | 16575 | |
Writing a complex number in a+bi form
February 19th 2013, 07:13 AM #1
Newbie
Joined
Feb 2013
From
Montreal
Posts
6
Writing a complex number in a+bi form
Hi guys,
I'm asked to write the number 5/i in the a+bi form. The format is such that I can only enter the values of a and b in the computer. I'... | 4 | [
-0.058837890625,
0.037353515625,
-0.019775390625,
0.0240478515625,
-0.1083984375,
-0.035888671875,
0.043701171875,
0.04833984375,
0.0091552734375,
-0.0250244140625,
0.06201171875,
-0.034912109375,
0.07373046875,
0.04541015625,
-0.017333984375,
0.055419921875,
-0.041748046875,
-0.05... | 16,576 | 16576 | |
Rolling 5 Die
Let a fair die be rolled 5 times. Find the math expectation of the product of the outcomes.
If the outcomes are 1 1 1 1 1 then the product is 1 with a probability of $\frac{1}{6^5}$. A product of 2 could happen in 5 different ways, so the probability is $\frac{5}{6^5}$. Same probability
applies to an out... | 4 | [
-0.033447265625,
-0.08740234375,
-0.0118408203125,
-0.07763671875,
0.0062255859375,
-0.046630859375,
0.08154296875,
-0.0037994384765625,
0.025390625,
-0.0167236328125,
-0.064453125,
0.078125,
0.01507568359375,
0.005157470703125,
-0.000560760498046875,
0.07763671875,
-0.06298828125,
... | 16,577 | 16577 | |
Graphs and Graph Algorithms in T-SQL
By Hans Olav Norheim, hansolav *at * hansolav.net, http://hansolav.net, Last updated 2010-05-22.
Graph algorithms are part of most introductory classes to algorithms, but I have not seen many implementations in SQL or T-SQL. I found it to be an interesting exercise and post the re... | 5 | [
-0.021240234375,
-0.049072265625,
-0.003448486328125,
-0.00897216796875,
-0.07666015625,
-0.0869140625,
-0.0228271484375,
0.0245361328125,
-0.12353515625,
0.0830078125,
-0.052490234375,
0.003692626953125,
0.043212890625,
0.060791015625,
-0.00604248046875,
0.07373046875,
0.05029296875... | 16,578 | 16578 | |
Complex Numbers
January 13th 2008, 08:53 PM
noreaction
Complex Numbers
I got this question in a complex numbers test and I could not figure it out. Any help would be appreciated.
Question:
R is a positive number and $z_1$ and $z_2$ are complex numbers. Show that the points which represent respectively ... | 5 | [
-0.138671875,
0.0439453125,
-0.08740234375,
0.0299072265625,
0.01611328125,
-0.0771484375,
-0.0002765655517578125,
0.06640625,
0.058349609375,
-0.044677734375,
-0.01904296875,
-0.041259765625,
0.08935546875,
0.09716796875,
0.07373046875,
-0.052978515625,
-0.04150390625,
-0.06347656... | 16,579 | 16579 | |
Group theory
April 11th 2013, 05:59 PM #1
Newbie
Joined
Apr 2013
From
austria
Posts
5
Group theory
How can I prove: If G is a group, and a,b are in G, and e=aba^3b^2a then G is trivial. Its been challenging for me. Thank you in advance.
Re: Group theory
Let G be a group and let e be the identit... | 5 | [
-0.034912109375,
0.045654296875,
0.036865234375,
0.047607421875,
0.000934600830078125,
-0.0037841796875,
0.1396484375,
-0.06689453125,
0.006988525390625,
-0.049072265625,
0.04296875,
-0.033447265625,
0.017822265625,
-0.0189208984375,
0.08154296875,
0.053466796875,
-0.02587890625,
0... | 16,580 | 16580 | |
Patent US6028899 - Soft-output decoding transmission system with reduced memory requirement
The invention relates to digital transmission systems and, more particularly, a radio a decoding device for forming a decoded digital signal from a received signal via an estimate for the probability
with which the respective sy... | 4 | [
-0.0189208984375,
-0.0294189453125,
-0.01416015625,
-0.07568359375,
-0.08935546875,
-0.00157928466796875,
-0.01226806640625,
0.0294189453125,
0.01287841796875,
-0.00811767578125,
0.01055908203125,
0.072265625,
0.08447265625,
-0.021728515625,
-0.09716796875,
0.01025390625,
0.030151367... | 16,581 | 16581 | |
A nice identity of Viette and Euler
Show that for $0<\theta<\pi$, $\theta = \frac{\sin\theta}{\cos\left(\frac{\theta}{2}\right )\cos\left(\frac{\theta}{4}\right)\cos\left(\frac{ \theta}{8}\right)\cos\left(\frac{\theta}{16}\right )...}$
Last edited by Bruno J.; August 10th 2009 at 07:22 PM.
Let [tex] T_n = \cos(\theta... | 5 | [
-0.1123046875,
0.053466796875,
-0.0380859375,
0.0233154296875,
-0.0029296875,
-0.0196533203125,
-0.0225830078125,
0.06494140625,
0.048095703125,
-0.0400390625,
0.035888671875,
-0.07666015625,
-0.033203125,
0.006500244140625,
-0.0576171875,
0.0218505859375,
-0.04296875,
-0.015747070... | 16,582 | 16582 | |
Find two more zeros of P(z)=2z^3+9z^2+14z+5 if -2+i is a zero.
February 4th 2011, 08:13 AM #1
Junior Member
Joined
Jan 2011
Posts
34
Find two more zeros of P(z)=2z^3+9z^2+14z+5 if -2+i is a zero.
Hello.
Find the other two zeroes of P(z) if -2+i is a zero or p(z)=2z^3+9z^2+14z+5.
My attempt:
... | 5 | [
-0.1162109375,
0.1064453125,
-0.01239013671875,
0.0537109375,
0.0107421875,
-0.0478515625,
0.05224609375,
0.062255859375,
0.01092529296875,
-0.049560546875,
0.048095703125,
-0.08056640625,
0.05810546875,
0.07080078125,
-0.023193359375,
-0.035888671875,
-0.059814453125,
-0.010681152... | 16,583 | 16583 | |
diagonisable matrrices question
June 28th 2011, 10:57 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
diagonisable matrrices question
here is nxn matrices . $\rho$(A)=1 and tr(A)=n
find the representative polinomial of A and tell if A is diagonisable.
there is a way which my prof said is wrong... | 5 | [
-0.0625,
-0.0255126953125,
-0.09375,
0.01458740234375,
-0.0279541015625,
0.0032958984375,
0.046142578125,
-0.0615234375,
0.041259765625,
-0.0625,
0.0260009765625,
0.01904296875,
-0.01287841796875,
-0.0186767578125,
-0.11083984375,
-0.024169921875,
-0.035400390625,
0.000728607177734... | 16,584 | 16584 | |
Circular Motion Problem
April 13th 2008, 07:51 PM
shinn
Circular Motion Problem
A train is moving around a circular track of radius 800m at an uniform speed of 80km/hr. A light inelastic wire is attached to the roof of the carriage and has a small package attached at the
other end.
Qns: Find the angle o... | 5 | [
-0.099609375,
0.126953125,
-0.1015625,
0.0625,
0.046875,
0.02490234375,
0.023681640625,
0.08642578125,
-0.02685546875,
0.01531982421875,
0.103515625,
0.0380859375,
0.023681640625,
0.0439453125,
-0.054931640625,
0.060302734375,
-0.03759765625,
-0.0269775390625,
-0.048828125,
0.0... | 16,585 | 16585 | |
Physics Forums - Lapse function and spacetime splicing
Matterwave Feb22-12 03:35 PM
Lapse function and spacetime splicing
Hi, I have a question regarding the foliation of space-time by slices of constant "time".
I know that such a foliation is possible given a globally hyperbolic manifold, and one can define a ... | 4 | [
-0.0869140625,
-0.080078125,
0.07177734375,
-0.09326171875,
0.000247955322265625,
0.0012664794921875,
0.04736328125,
-0.027587890625,
0.10595703125,
-0.01220703125,
0.0732421875,
-0.0419921875,
-0.07666015625,
0.060791015625,
0.0284423828125,
-0.07275390625,
-0.08837890625,
-0.0307... | 16,586 | 16586 | |
[Haskell-cafe]
Solving differential equations in terms of power series
[Haskell-cafe] Solving differential equations in terms of power series
Henning Thielemann iakd0 at clusterf.urz.uni-halle.de
Sat May 22 16:50:21 EDT 2004
I've attached a Haskell module demonstrating the beauty of solving
ordinary differential eq... | 5 | [
-0.173828125,
0.0308837890625,
-0.053955078125,
0.078125,
-0.045654296875,
-0.00811767578125,
0.004150390625,
-0.00162506103515625,
0.0262451171875,
-0.02880859375,
0.0223388671875,
-0.09228515625,
0.00045013427734375,
0.005157470703125,
-0.034912109375,
0.08251953125,
-0.05444335937... | 16,587 | 16587 | |
Finding stationary points
July 21st 2010, 07:01 AM #1
Senior Member
Joined
Apr 2010
Posts
487
Finding stationary points
The question:
Find and identify the stationary points for $y = e^{2x}(1 - x)$
My attempt:
I differentiated the function as per here.
But I'm not sure how to solve for ... | 5 | [
-0.01336669921875,
-0.0634765625,
-0.007598876953125,
-0.040283203125,
-0.01513671875,
-0.013916015625,
-0.007659912109375,
0.01116943359375,
0.06689453125,
0.024169921875,
0.04150390625,
-0.08056640625,
0.0169677734375,
0.00823974609375,
0.0927734375,
-0.0294189453125,
-0.0164794921... | 16,588 | 16588 | |
Math Help
May 27th 2013, 11:45 AM #1
Newbie
Joined
Dec 2012
From
tehran
Posts
15
graph
suppose G is a connected graph with n vertices and n-1 edges.
prove that G has at least 2 vertices with deg(v)=1 .
Re: graph
Use the handshaking lemma.
Re: graph
Recall that $|\mathcal{V}|$ is the ... | 4 | [
-0.0233154296875,
0.08544921875,
0.10302734375,
0.01953125,
0.046875,
0.01055908203125,
0.0322265625,
0.034912109375,
-0.027099609375,
0.041015625,
-0.01416015625,
-0.05517578125,
0.023681640625,
-0.00933837890625,
-0.022216796875,
0.0230712890625,
0.027587890625,
-0.08154296875,
... | 16,589 | 16589 | |
Calc 2 problem involving integration
Hey everyone! My name is Ben, I'm a senior in high school working on an BC Calc problem and am having some general questions about it.
The question reads:
Let f be a function defined on the closed interval [-3,4] with f(0) = 3. The graph of f', the derivative of f, consists of one... | 4 | [
-0.09228515625,
0.01043701171875,
-0.004180908203125,
-0.01519775390625,
-0.007659912109375,
-0.0029144287109375,
0.0037994384765625,
0.10205078125,
-0.01055908203125,
0.037109375,
0.08740234375,
-0.09619140625,
0.01458740234375,
0.01318359375,
0.020263671875,
-0.00069427490234375,
-... | 16,590 | 16590 | |
Finding a perfect square
June 19th 2011, 10:37 AM #1
Junior Member
Joined
Feb 2011
Posts
28
Finding a perfect square
What is the smallest positive integer k such that the product 1575 * k is a perfect square?
How does one solve this problem ?
Re: Finding a perfect square
Hello,
First find... | 4 | [
0.0162353515625,
0.0299072265625,
0.009033203125,
-0.004425048828125,
0.003448486328125,
0.0020599365234375,
0.0218505859375,
0.0159912109375,
-0.048583984375,
0.06298828125,
-0.005157470703125,
-0.010986328125,
0.015869140625,
-0.0400390625,
-0.07958984375,
0.007568359375,
-0.031738... | 16,591 | 16591 | |
Consumer Arithmetic
September 5th 2009, 08:26 PM #1
Member
Joined
Jan 2009
Posts
98
1. Claudia, to save for her trip to the Gold Coast, puts her tax return cheque of $890 into an account paying 8% p.a. How long (in years, correct to 1 decimal place) will her money take to
accumulate to $1300?
... | 5 | [
0.06396484375,
0.06689453125,
0.0169677734375,
0.06005859375,
-0.054931640625,
-0.0179443359375,
0.1015625,
0.09228515625,
-0.045166015625,
0.060791015625,
-0.0024261474609375,
-0.039306640625,
0.00982666015625,
0.004241943359375,
-0.0164794921875,
-0.030029296875,
-0.0625,
-0.0727... | 16,592 | 16592 | |
Is this correct? - showing analytic function is constant.
February 8th 2010, 05:57 PM #1
Is this correct? - showing analytic function is constant.
for analytic function f:A-->C, where A is an open connected set. If f(A) is completely contained in the line {x+iy | x=2y}, show that f is constant.
My answer: i ... | 5 | [
-0.0262451171875,
-0.019775390625,
0.0106201171875,
0.031005859375,
-0.0169677734375,
0.05810546875,
-0.052734375,
-0.042724609375,
-0.0712890625,
0.019287109375,
0.0703125,
-0.0712890625,
-0.01348876953125,
0.057373046875,
0.00799560546875,
-0.0419921875,
-0.04931640625,
-0.114746... | 16,593 | 16593 | |
Partial integration in 2D - Green's Theorem
November 5th 2009, 04:58 AM #1
Junior Member
Joined
Nov 2009
Posts
31
Partial integration in 2D - Green's Theorem
Hi
Using Green's Theorem:
$\int_{\Omega} c div \mathbf{u} d \Omega = - \int_{\Omega} (grad \; c) \cdot \mathbf{u} d \Omega + \oint_{\Gamm... | 4 | [
-0.078125,
0.01531982421875,
0.08251953125,
-0.052978515625,
0.036865234375,
0.017333984375,
0.006378173828125,
0.01318359375,
-0.06884765625,
-0.0546875,
-0.0042724609375,
0.05712890625,
-0.037841796875,
0.00885009765625,
0.051025390625,
0.038818359375,
-0.052978515625,
0.00497436... | 16,594 | 16594 | |
Revista Brasileira de Zootecnia
Services on Demand
Article
Indicators
Related links
Share
On-line version ISSN 1806-9290
R. Bras. Zootec. vol.41 no.8 Viçosa Aug. 2012
http://dx.doi.org/10.1590/S1516-35982012000800015
... | 4 | [
0.01434326171875,
-0.048828125,
0.019775390625,
0.00823974609375,
0.06005859375,
0.00238037109375,
0.006439208984375,
0.0634765625,
0.02099609375,
0.00836181640625,
0.00555419921875,
-0.107421875,
-0.020263671875,
0.09912109375,
-0.01287841796875,
-0.091796875,
0.0322265625,
-0.020... | 16,595 | 16595 | |
parametric equations of an ellipse
August 5th 2009, 09:23 AM #1
Member
Joined
Jul 2009
Posts
127
parametric equations of an ellipse
Use the parametric equations of an ellipse
x=9cos
y=3sin
0
to find the area that it encloses
does anyone know this one?
1. The formula to calcu... | 5 | [
-0.0208740234375,
-0.0289306640625,
-0.080078125,
-0.0478515625,
0.03271484375,
0.0047607421875,
-0.0556640625,
0.061767578125,
0.036865234375,
-0.08251953125,
0.0859375,
0.01031494140625,
-0.04931640625,
-0.007781982421875,
0.047607421875,
0.10400390625,
-0.05126953125,
0.03112792... | 16,596 | 16596 | |
Improving the Performance Metric of Wireless Sensor Networks with Clustering Markov Chain Model and Multilevel Fusion
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 783543, 11 pages
http://dx.doi.org/10.1155/2013/783543
Research Article
Improving the Performance Metric of Wireless Sensor Networks... | 4 | [
-0.05126953125,
-0.038330078125,
0.048583984375,
0.0181884765625,
0.09912109375,
-0.083984375,
0.0361328125,
0.004119873046875,
0.059326171875,
-0.033203125,
-0.00830078125,
-0.034912109375,
0.15625,
-0.04248046875,
-0.0308837890625,
-0.01953125,
0.09033203125,
-0.046142578125,
-... | 16,597 | 16597 | |
Patent US7239952 - Reduced order parameter identification for vehicle rollover control system
Publication number US7239952 B2
Publication type Grant
Application number US 11/007,545
Publication date Jul 3, 2007
Filing date Dec 8, 2004
Priority date Dec 8, 2004
Fee status Paid
Also published as ... | 4 | [
-0.10595703125,
-0.06787109375,
-0.0634765625,
-0.045166015625,
-0.01129150390625,
0.062255859375,
-0.0107421875,
0.08642578125,
-0.020263671875,
0.052490234375,
0.052978515625,
0.1015625,
0.0303955078125,
-0.050048828125,
-0.11181640625,
0.057861328125,
0.042236328125,
0.003280639... | 16,598 | 16598 | |
Detection and Elimination of a Potential Fire in Engine and Battery Compartments of Hybrid Electric Vehicles
Advances in Fuzzy Systems
Volume 2012 (2012), Article ID 687652, 11 pages
http://dx.doi.org/10.1155/2012/687652
Research Article
Detection and Elimination of a Potential Fire in Engine and Battery Compartments... | 4 | [
-0.0089111328125,
0.068359375,
-0.0283203125,
0.0022735595703125,
0.09619140625,
0.02197265625,
0.057373046875,
0.006805419921875,
0.046630859375,
0.0517578125,
0.0556640625,
0.058349609375,
0.08544921875,
-0.00006914138793945312,
-0.055419921875,
0.03466796875,
0.0167236328125,
-0... | 16,599 | 16599 |