content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 590421, 14 pages
http://dx.doi.org/10.1155/2013/590421
Research Article
A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearit... | 5 | [
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Solving a system graphically and numerically
December 1st 2008, 10:45 AM
LoveBeachForever
Solving a system graphically and numerically
Okay so I'm having trouble with a system involving a circle and a parabola. My book tells me to solve the system graphically and support my answer numerically. I don't know how t... | 4 | [
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Finding a power series
March 5th 2010, 10:40 PM #1
Question: Expand $\frac{1}{(1+x)^\frac{1}{4}}$ as a power series and use it to estimate $\frac{1}{1.1^\frac{1}{4}}$ correct to three decimal places.
I am clueless!
Binomial series for non-integer exponents:
$(1+x)^{\frac{1}{4}}= ..$
Then plug i... | 5 | [
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the encyclopedic entry of Defect (geometry)
In
geometry
, the
defect
(or deficit) of a vertex of a
polyhedron
is the amount by which the sum of the angles of the faces at the vertex falls short of a full circle. If the sum of the angles exceeds a full circle, as occurs in some vertices of most (not all)
non-conve... | 4 | [
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Find the tangent.
March 28th 2006, 11:22 PM
classicstrings
Find the tangent.
How would i find the tangent to the quadratic 2x^2 -12x + 14 at the point (1,4)? Do we take the derivative of the equation? Thanks
March 29th 2006, 02:05 AM
Aradesh
yes, that's right, you need to differentiate it.
let
$f(... | 4 | [
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-0.... | 30,504 | 30504 | |
Homework Help
Posted by Tommy on Saturday, July 19, 2008 at 1:03am.
Prove the identity
sin(x+y+z)+sin(x+y-z)+sin(x-y+z)+ sin(x-y-z) = 4 sin(x)cos(y)cos(z)
This identity is so long and after i tried to expand the left side and it just looked something crap
Thanks for you help :)
• Trigonometry - Reiny, Saturday, ... | 4 | [
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Math Help
November 8th 2009, 01:01 PM #1
Member
Joined
Dec 2008
Posts
152
Parallelogram
A Parallelogram $ABCD$ is given. You draw a line which is parallel to $AB$ and crosses the sides [tex]AD[math and $BC$ in $S$ and $Q$.
Another line which is parallel to $BC$ crosses the sides $AB$ and $DC$ in $P$... | 4 | [
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Formulas for N-Dimensional Spheres
Date: 10/26/2000 at 00:49:38
From: Shalanna Collins Weeks
Subject: Geometry in 4 dimensions (4D circle?)
Hi! I have a puzzle book that I have used in my math classes (I tutor
math for gifted and talented 7th-8th grade kids) for the students who
have finished their work. There is a ... | 5 | [
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Limit question
November 3rd 2006, 08:21 PM
killasnake
Limit question
Sorry, I have no idea how to solve this limit problem
I got this answer but it's wrong
cos(0)-sec(0)^2)/2
November 3rd 2006, 11:01 PM
Soltras
Well if you use something like Mathematica (software) it should give you 1/24 as the ... | 5 | [
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... | 30,508 | 30508 | |
Consecutive letters
February 9th 2010, 02:43 AM
nahduma
Consecutive letters
There is a sequence of ten letters, consisting of two letters A and T, with equal probabilities for both.
What is the probability that there will be atleast two As consecutively?
February 9th 2010, 04:07 AM
awkward
Quote:
... | 4 | [
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Homework Help
Posted by Megan on Saturday, December 4, 2010 at 12:20am.
The shorter leg of a right triangle is 14 feet shorter than the longer leg. The hypotenuse is 26 feet. How long is each leg?
• Math - hy, Saturday, December 4, 2010 at 1:31am
(X-14)^2+X^2 = 26^2
solve for x and x-14
• Math - Bosnian... | 4 | [
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[SOLVED] The Squeeze Theorem
How do you solve this? $\lim_{x\to\frac{\pi}{3}} (\sqrt{3} \sin x -2x)$
Direct Substitution... That's all. There's no need for any advanced techniques here. I'll do it... Here's a step by step of all the relevant theorems of limits that apply. 1. The limit of a sum is
the sum of the limits... | 5 | [
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0.... | 30,511 | 30511 | |
Quotient Rule Help
February 27th 2008, 05:58 PM #1
Newbie
Joined
Feb 2008
Posts
4
Quotient Rule Help
Hey.
I was not able to make the class where the explained the quotient rule in calculus.
I'm trying to self learn it but the book isn't helping that much.
They're trying to find the derivat... | 5 | [
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0.026... | 30,512 | 30512 | |
Use vectors to prove ...
December 31st 2006, 07:54 AM #1
Member
Joined
Nov 2006
Posts
123
question 1
Use vectors to prove that the line segment joining the midpoint of two sides of a triangle is parallel to the third side and half as long.
Question 2
Use vectors to prove that the midpoints of... | 4 | [
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0.0378417... | 30,513 | 30513 | |
Differential equation in implicit form
January 25th 2009, 09:56 AM
bobred
Differential equation in implicit form
I was wondering if someone could give me some idea as where to start with the following question?
Find in implicit form the general solution of the differential equation
$dy/dx\ = -3 y^3 (1 ... | 5 | [
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Logarithmic problem
November 11th 2012, 11:10 AM #1
Newbie
Joined
Oct 2012
From
UK
Posts
16
Logarithmic problem
Hi,
Can someone please tell me how to solve the attached logarithmic problem ? the answer should be 5.
Attached is also my working.
Thanks
Re: Logarithmic problem
log(x^... | 4 | [
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... | 30,515 | 30515 | |
help with some problems?
We need to find the limits, $\lim_{x\to 0} x\sin \frac{1}{x}$ We can write, $-1\leq \sin \frac{1}{x} \leq 1$ Multiply by "x" (positive or negative equality is preseved), $-x\leq x\sin \frac{1}{x} \
leq x$. This inequality is true at some open interval containing zero except possibly at zero its... | 5 | [
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... | 30,516 | 30516 | |
Lat/Lon to Distance
Converting Latitude and Longitude into Distance
Solving for Great Circle distance
Calculating distance when using flat map data using a rectangular grid coordinates system is a simple matter of using Pythagoras to solve for the distance:
'Compute the components and the distance...
myDelt... | 5 | [
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e
Experiment 2
Vector Addition
Objectives:
The objective is to (1) practice the polygon method of vector addition, and (2) compare the graphical results with calculation (analytical solution) to get an idea of how accurate t... | 4 | [
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... | 30,518 | 30518 | |
GEOPROJ - Step 6
Calculate the 95% confidence limits on the incidence rate ratio.
3. Confidence intervals for IRst=0
When the observed rate is zero (i.e. there were zero cases), the gamma method is unable to produce confidence limits for the direct standardized rates. In this situation, we adopt the following
conventi... | 4 | [
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Implicit differentiation
November 7th 2006, 10:04 AM #1
Junior Member
Joined
Nov 2006
Posts
32
Need help to finish this question,also how do I post in TeXnicCenter?
Find dy/dx and d^2y/dx^2 for x^2y - sin(x^2 - y) = 20
2x. dy/dx - cos(x^2 - y) (2x - dy/dx) = 0
2x. dy/dx = cos(x^2 - y) (2x -... | 5 | [
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0.00759887695... | 30,520 | 30520 | |
determinant and eigenvalues
October 3rd 2006, 06:17 AM
action259
determinant and eigenvalues
For an nxn matrix A
det(A) = ∏(i=1, .., n) λi ...... [1],
where the λi are the eigen values (appearing with the correct multiplicities)
the characteristic equation is det(λI-A)=0, and this is an nth polyno... | 4 | [
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-0.08251... | 30,521 | 30521 | |
Definition of Square root and Exponents. - My Math Forum
Well, if you can't understand it, try to prove it!
So if you have lets say you have an equation:
$a^p=a^q$
It should be obvious that
$p=q$
(because the base is the same [it's a property of logarithms]). Now, a long time ago, some mathematician decided that t... | 4 | [
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-0.... | 30,522 | 30522 | |
on what point these function are differentiable..
January 20th 2009, 11:06 AM #1
MHF Contributor
on what point these function are differentiable..
A) What exactly is the first one? I believe it is $\lfloor x\rfloor \sin^2(\pi x)$ with $\lfloor x\rfloor$ being the floor function.
B) $f:x\longmapsto\left\{\b... | 4 | [
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Model Theory - definiable classes
November 17th 2010, 04:12 AM
Arczi1984
Model Theory - definiable classes
Hi,
This time I've problem with following exercise:
Let $L$ be a first-order language and for each $i \in I$ let $\mathbb{K}_i$ be a class of $L$-structures.
Show that $\mbox{Th} (\bigcup_{i \... | 5 | [
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0.0380859375,
-0.00756... | 30,524 | 30524 | |
Quotient Rings and Homomorphisms
March 8th 2010, 07:49 PM #1
Newbie
Joined
Mar 2010
Posts
3
Quotient Rings and Homomorphisms
Let R and S be rings. Show that pi: RxS--> R given by pi(r,s)=r is a surjective homomorphism whose kernel is isomorphic to S.
Clearly since $0_R\in R,0_S\in S$ we know that $R... | 5 | [
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0.036376953125,
0.07... | 30,525 | 30525 | |
Calculus Word Problem
October 24th 2009, 08:14 AM #1
Junior Member
Joined
Oct 2009
Posts
32
Calculus Word Problem
Water is leaking out of an inverted conical tank at a rate of 7000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diamet... | 5 | [
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0.034667968... | 30,526 | 30526 | |
combinations of permutations?
November 9th 2009, 03:52 AM
billym
combinations of permutations?
I have a string of length 14 made up of 0s, 1s, and 2s. I'm trying to find the number of strings with an odd number of 2s.
So I want to sum the number of strings I can make for each odd value $k$ between 1 and 14.... | 5 | [
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0.00421142578125,
0.042724609375,
0.0201416015625,
-0.03173828125,
-0.0341796875,
-0.020751953125,
-0.07421875,
0.087890625,
-0.00714111328125,
0.000... | 30,527 | 30527 | |
Straight Line Charge of Finite Length
September 21st 2011, 04:31 PM #1
Member
Joined
Jan 2010
Posts
144
1. The problem statement, all variables and given/known data
Find the expression for the E field at an arbitrary point in space due to a straight line of length l uniformly charged with total charg... | 4 | [
-0.04443359375,
0.11669921875,
0.0302734375,
-0.046630859375,
0.1513671875,
0.043212890625,
0.0673828125,
0.0037078857421875,
0.0203857421875,
0.0791015625,
0.087890625,
-0.052734375,
0.022705078125,
0.021728515625,
-0.026123046875,
0.035888671875,
-0.1328125,
-0.02001953125,
-0.... | 30,528 | 30528 | |
Math: Calculus
Posted by Anonymous on Tuesday, September 22, 2009 at 8:45pm.
The max. weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L.
a) write an equation that expresses the proportionality.
b) determine the c... | 4 | [
-0.00653076171875,
0.0308837890625,
-0.01239013671875,
0.05224609375,
-0.05615234375,
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0.09521484375,
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0.04150390625,
0.04296875,
0.057373046875,
-0.07080078125,
0.1396484375,
0.018798828125,
0.072753... | 30,529 | 30529 | |
M-QAM Bit Error Rate in AWGN
Quadrature Amplitude Modulation has been adopted by most wireless communication standards such as WiMAX and LTE. It provides higher bit rates and consequently higher spectral efficiencies. It is
usually used in conjunction with Orthogonal Frequency Division Multiplexing (OFDM) which provid... | 5 | [
0.045166015625,
0.0322265625,
-0.0576171875,
0.002197265625,
-0.03857421875,
0.0208740234375,
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0.03857421875,
-0.04638671875,
0.0390625,
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0.103515625,
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-0.00738525390625,
0.0625,
0.087890625,
-0.036376953125,
-0.018432617... | 30,530 | 30530 | |
For every ε>0 there is an a∈A such that a<z+ε
January 27th 2011, 07:46 PM #1
Member
Joined
Apr 2010
Posts
133
For every ε>0 there is an a∈A such that a<z+ε
So there are a few questions that go along with this but I've hopefully worked them out correctly so I am only posting the ones I definitely have no ... | 4 | [
-0.0712890625,
0.042236328125,
-0.013671875,
-0.0186767578125,
-0.0654296875,
0.0546875,
0.08837890625,
-0.0029754638671875,
0.0198974609375,
0.0732421875,
0.0400390625,
-0.0283203125,
0.1240234375,
0.00836181640625,
0.04248046875,
-0.05419921875,
0.047119140625,
-0.001365661621093... | 30,531 | 30531 | |
Calculating the number of possible outcomes
October 12th 2010, 01:25 AM #1
Newbie
Joined
Oct 2010
Posts
3
Calculating the number of possible outcomes
Hi everyone,
Now, when it comes to all things maths, I am totally hopeless. I have lots of trouble solving basic problems, so I knew I'd have to turn ... | 4 | [
0.08837890625,
0.011474609375,
-0.0084228515625,
-0.035888671875,
-0.025146484375,
0.01068115234375,
0.004058837890625,
-0.03955078125,
-0.053466796875,
-0.0191650390625,
-0.0419921875,
-0.06201171875,
0.02587890625,
0.04052734375,
-0.010498046875,
-0.00921630859375,
0.0228271484375,... | 30,532 | 30532 | |
Finding exact solutions
April 12th 2010, 08:27 PM #1
Member
Joined
Mar 2010
Posts
133
For a) this is my work:
cos 2θ + cos θ = 0
2 cos^2θ - 1 + cos θ = 0
2cos^2θ + 1 cos θ = 1
1) cos θ = 1
2) 2cos θ + 1 = 1
cos θ = 0
I got those two equations above from factoring out the... | 4 | [
-0.11328125,
0.035888671875,
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0.027099609375,
-0.01519775390625,
-0.034912109375,
-0.10986328125,
-0.023437... | 30,533 | 30533 | |
For what x value does the tangent of the graph of f(x) = xe^2x have a slope = 0?
I said
f'(x) = m = 0 = 2xe^2x ---> x = 0/(2xe^2x) = 0
Is this right?
Wouldn't that equal 2?
to solve $f'(x)=0$
$f'(x)=2e^{2x}x+e^{2x}=e^{2x}(2x+1)=0\Leftrightarro w 2x+1=0$
:)
Ok then that would equal... | 4 | [
0.004791259765625,
0.028564453125,
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0.00653076171875,
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0.03369140625,
0.054931640625,
-0.0703125,
-0.01708984375,
0.0... | 30,534 | 30534 | |
Cardinal Numbers
Finite Cardinal
A cardinal is finite iff it is a natural number.
Infinite Cardinal
A cardinal that is not a finite cardinal is an infinite cardinal.
Dedekind-Finite Cardinal
The cardinal of a Dedekind-finite set (a set that does not include a countably infinite subset) is a Dedekind-fi... | 4 | [
0.05908203125,
-0.01416015625,
-0.026611328125,
0.004730224609375,
-0.0223388671875,
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0.0177001953125,
0.035400390625,
-0.0101318359375,
-0.09375,
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0.02197265625,
0.0034637451171875,
-0.052978515625,
-0.05029296875,
0.0140380859375,
... | 30,535 | 30535 | |
Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity
Advances in High Energy Physics
Volume 2013 (2013), Article ID 126528, 7 pages
http://dx.doi.org/10.1155/2013/126528
Research Article
Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity
^1Department of Physics, Fa... | 4 | [
-0.07861328125,
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0.0252685546875,
-0.0... | 30,536 | 30536 | |
Solve double integral in Polar or Cylindrical Coordinates
April 8th 2012, 06:11 PM #1
Newbie
Joined
Apr 2012
From
United States
Posts
3
Solve double integral in Polar or Cylindrical Coordinates
a. ∫∫d (x+y)dA wehre D is bound by the X axis, y- axis, and circles x^2+y^2=4 and x^2+y^2=16 and is in the ... | 5 | [
-0.040771484375,
0.04931640625,
-0.0213623046875,
-0.061767578125,
0.0113525390625,
-0.08544921875,
-0.05517578125,
0.04541015625,
-0.00909423828125,
-0.047119140625,
-0.0220947265625,
0.038330078125,
-0.00518798828125,
0.126953125,
-0.02001953125,
0.0296630859375,
-0.016845703125,
... | 30,537 | 30537 | |
n consecutive integers
October 8th 2007, 07:32 PM
ctvsurgn
n consecutive integers
Gene has 2n pieces of paper numbered 1 through 2n. He removes n pieces of paper
that are numbered consecutively. The sum of the numbers on the remaining pieces of paper
is 1615. Find all possible values of n.
October 18th ... | 5 | [
-0.15625,
0.047607421875,
0.02197265625,
-0.035400390625,
-0.05029296875,
0.044921875,
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0.041748046875,
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-0.0361328125,
-0.0830078125,
-0.00439453125,
0.002899169921875,
-0.01153564453... | 30,538 | 30538 | |
A Generalized Problem Problem
May 1st 2011, 09:30 AM #1
Newbie
Joined
May 2011
Posts
15
A Generalized Problem Problem
Hey all,
So in the shower, I found myself trying to generalize a problem. I was discussing with my students earlier how the two numbers, x and y, that both add and multiply to 4
... | 4 | [
-0.02685546875,
0.0159912109375,
0.0159912109375,
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0.0234375,
0.09326171875,
-0.06396484375,
-0.056152... | 30,539 | 30539 | |
Find an equation for the line...
May 12th 2009, 09:27 AM #1
Newbie
Joined
Mar 2009
Posts
21
I am having trouble studying for my Algebra final. I am having problems giving equations for lines. The two problems that I am currently stuck on are--
(1) Give an equation for the horizontal through the point... | 4 | [
-0.158203125,
-0.0118408203125,
-0.00078582763671875,
-0.09423828125,
0.0693359375,
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0.035888671875,
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0.05908203125,
0.01953125,
0.158203125,
-0.09130859375,
-0.019775390625... | 30,540 | 30540 | |
Two Problems In Group Theory
February 25th 2008, 10:10 AM #1
Newbie
Joined
Feb 2008
Posts
17
Two Problems In Group Theory
Hello there
Wow, this forum is amazing! I didn't realize places like this exist and I'm really looking forward to getting stuck in to helping people. Anyway, my first post is unf... | 5 | [
-0.0625,
-0.03125,
0.07958984375,
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0.04833984375,
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0.020263671875,
0.05322265625,
-0.02954101562... | 30,541 | 30541 | |
Differential Equations?
October 21st 2012, 10:34 PM #1
Newbie
Joined
Oct 2012
From
United States
Posts
9
Differential Equations?
Hi, I was wondering if anyone could help me with this problem. The differential equation y'=4y/x has a power function solution y=Ax^n if y(3)=162, determine the values of n... | 5 | [
-0.039794921875,
0.005462646484375,
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-0.052978515625,
0.0145263671875,
-0.0081787109375,
0.11279296875,
-0.0166015625,
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0.0390625,
-0.0054931640625,
0.031494140625,
-0.0732421875,
0.0045166015... | 30,542 | 30542 | |
Do cohomologically trivial line bundles affect morphisms?
up vote 2 down vote favorite
1
Assume we have a locally free sheaf $R$ of associative $O_S$-algebras of rank $r^2$, possibly noncommutative, where $S=\mathbb{P}^2$ over $\mathbb{C}$. Furthermore given a locally free $O_S$-module
$E$ also of rank $r^2$, which is... | 4 | [
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0.018310546875,
0.10546875,
0.01556396484375,
-0.0263671875,
0.0169677734375... | 30,543 | 30543 | |
Tossing game
January 8th 2010, 06:05 AM #1
Junior Member
Joined
Nov 2009
Posts
57
Tossing game
A man tossing a coin wins one point for heads and five points for tails. The game stops when the man accumulates at least 1000 points.
How do you estimate with accuracy $\pm 2$ the expectation of the length... | 5 | [
-0.00665283203125,
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-0.0986328125,
0.07958984375,
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0.00098419189453125,
0.06640625,
-0.125,
0.06396484375,
0.025390625,
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-0.0023651123046875,
0.03955078125,
0.0205078125,
0.0... | 30,544 | 30544 | |
Math Help
August 27th 2011, 11:09 AM #1
Member
Joined
Jul 2011
Posts
196
Statement neg
I was just wanting to make sure I had treated everything correctly when negating this statement. I wasn't 100% on how to treat the bracket between the existential quantifiers and whether or not I
should change the... | 4 | [
-0.006195068359375,
0.08447265625,
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0.037109375,
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-0.033935546875,
0.08203125,
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0.0035400390625,
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0.0859375,
0.048095703125,
0.091796875,
0.06884765625,
0.031005859375,
-0.029052734375,
... | 30,545 | 30545 | |
Help in setting the polar integral
February 13th 2009, 06:51 AM #1
Member
Joined
Dec 2008
Posts
228
Help in setting the polar integral
Q: Find the area inside the region bounded by both r = sin theta and r = sin (2 theta)
I set the integral to.........
2[1/2{(sin 2x)^2 dx - 1/2{(sin2x)^2 - (sin... | 5 | [
0.005859375,
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0.022216796875,
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0.06982421875,
0.052001953125,
0.01409912109375,
0.0133056640625,
-0.0118408203125,
... | 30,546 | 30546 | |
Remarks on Null Geodesics of Born-Infeld Black Holes
ISRN Mathematical Physics
VolumeΒ 2012Β (2012), Article IDΒ 869069, 13 pages
http://dx.doi.org/10.5402/2012/869069
Research Article
Remarks on Null Geodesics of Born-Infeld Black Holes
Department of Physics and Geology, Northern Kentucky University, Highland Heigh... | 4 | [
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0.0111083984375,
-0.0... | 30,547 | 30547 | |
Math Help
February 18th 2010, 06:54 AM #1
Member
Joined
Oct 2009
Posts
195
Thanks
1
Polynomial
|-1 0 0 0|
|0 -1 3 0|
|0 0 2 0|
|-3 3 -3 2|
Given this matrix A, and the polynom f(x) = x^2 + x + 2, what is the matrix M = f(A) ? Thanks alot!
$\left[\begin{array}{cccc}-1&0&0&0\... | 4 | [
-0.00164031982421875,
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0.046875,
-0.0673828125,
-0.02... | 30,548 | 30548 | |
i need help for asvab
January 21st 2009, 07:40 PM #1
Newbie
Joined
Jan 2009
Posts
2
i am 34 and getting ready for the asvab and i do not know how to answer some of the questions. they all look like there should be a formula for them but i cant figure this out it may be basic but
i need help...not the ... | 4 | [
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0.009033203125,
0.0966796875,
-0.0296630859375,
0.02392578125,
0.00154876708984375,
... | 30,549 | 30549 | |
Brazilian Journal of Physics
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versión impresa ISSN 0103-9733
Braz. J. Phys. vol.39 no.2a São Paulo ago. 2009
http://dx.doi.org/10.1590/S0103-97332009000400030
Nonlocal effects on the thermal behavior of non-crystalline solids
E. K. Lenz... | 4 | [
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0.0888671875,
0.056884765625,
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0.015869140625,
0.01300048828125,
0.045166015625,
-0.08349609375,
0.0771484375,
0.01007080078125,
... | 30,550 | 30550 | |
work - calculus
October 31st 2007, 11:59 PM
kittycat
work - calculus
given the force vector field F = <y,a> .
Find the work in moving an object through the vector field along the closed curve C formed by the arc of the ellipse x=acost , y=bsint, lying in the first quadrant, the x-axis, and the y-axis.
P... | 4 | [
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0.04150390625,
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0.0224609375,
-0.0634765625,
-0.026611328125,
0.005340576171875,
0.0986328125,
-0.0546875,
-0.01495361328125,... | 30,551 | 30551 | |
Optimization Problem
July 21st 2010, 05:25 PM #1
Newbie
Joined
Jun 2010
Posts
21
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Volume = cubic centimeters
1700 = x^2+4*x*h
4xh=1700-x^2
h=17... | 5 | [
0.109375,
0.08984375,
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0.00860595703125,
-0.007537841796875,
-0.059326171875,
0.030029296875,
0.0390625,
0.02807617... | 30,552 | 30552 | |
\int_0^{\infty}\frac{\sin x}{x}\ dx
August 17th 2011, 08:33 AM
Also sprach Zarathustra
\int_0^{\infty}\frac{\sin x}{x}\ dx
Okay, I'm trying to compute the following integral:
$I=\int_0^{\infty}\frac{\sin x}{x}\ dx$
But first, I will try to prove that $I$ converge.
$I=\int_0^{\infty}\frac{\sin x}{x... | 4 | [
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0.000598907470703125,
0.069824... | 30,553 | 30553 | |
Help with a direct sum proof
February 4th 2009, 09:32 PM
very_unique
Help with a direct sum proof
The problem reads:
"Let W1 denote the set of all polynomials f(x) in P(F) such that in the representation f(x) = (a_n)(x^n) + (a_(n-1))(x^(n-1)) +...+ (a_1)(x) + a_0, we have a_i = 0 whenever i is even. Likewis... | 4 | [
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-0.056640625,
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0.1484375,
-0.0224609375,
-0.022... | 30,554 | 30554 | |
quadratic functions
May 2nd 2010, 09:28 PM
mamajen
quadratic functions
ok this is my lasst question of the night i promise!
Find the unique quadratic function that passes through the points (-2, 5), (1,-1), and (6, 29). use matrices to solve
May 2nd 2010, 09:31 PM
pickslides
Quote:
You need to ... | 4 | [
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Brazilian Journal of Chemical Engineering
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Print version ISSN 0104-6632
Braz. J. Chem. Eng. vol.24 no.3 São Paulo July/Sept. 2007
http://dx.doi.org/10.1590/S0104-66322007000300006
... | 4 | [
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Simplifying an equation using trig identities
October 28th 2010, 04:33 PM #1
Junior Member
Joined
Oct 2009
Posts
57
Simplifying an equation using trig identities
Hi,
I need to simplify this equation:
$\sqrt{(-2\sin{2t})^2 + (2\cos{2t})^2}$
I know that this equals 2 (by plugging into a calc... | 4 | [
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-0.00848388671... | 30,557 | 30557 | |
Nilpotent Matrix
March 26th 2008, 08:48 PM #1
Newbie
Joined
Nov 2007
Posts
5
Nilpotent Matrix
Hey everyone i have no clue how to solve this one, please help.
If B is any nilpotent matrix prove that I-B is invertible and find a formula for (I-B)^-1 in terms of powers of B?
use the geometric seri... | 5 | [
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For what range of values of 'x' ?
Author Message
TAGS:
For what range of values of 'x' ? [#permalink] 03 Sep 2010, 06:02
1
... | 4 | [
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Excel Formulas: Defining and Creating a Formula
In this lesson, we introduce you to basic rules for creating formulas and using functions. We feel one of the best ways to learn is through practice, so we provide several examples and explain them
in detail. The topics we will cover include:
• rows and columns
• exa... | 4 | [
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0.030029296875... | 30,560 | 30560 | |
Polynomials in one variable
Next: Polynomials in more than Up: Polynomials and polynomial functions Previous: Polynomials and polynomial functions
A polynomial P in one variable x is formally defined as a follows
P(x) = p[0] + p[1]x ... | 4 | [
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0.06... | 30,561 | 30561 | |
Sizing and applying ROLLER SCREWS
How it works
Roller screws convert rotary motion into linear motion just like acme and ballscrews. Comparably sized roller screws, however, have better efficiency than acme screws and can carry larger loads than
ballscrews. In addition, they can cycle more often and turn significantly... | 5 | [
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d(x^e^x)/dy'',??
October 30th 2008, 11:34 AM #1
Junior Member
Joined
Oct 2008
Posts
74
d(x^e^x)/dy'',??
Ive never been shown the technique for this differential. Anybody know it?? thnx! diff: $y=x^e^x$ hmm latex won't let me write this one, basicall y=x to the power exp(x)
If you are asking what $\f... | 5 | [
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Force Problem
March 18th 2010, 06:41 PM #1
Member
Joined
Feb 2010
Posts
76
Force Problem
Two electrons repel each other with a force that varies inversely as the
square of the distance between them. If one electron is fixed at the point
(2, 4), find the work done in moving a second electron from ... | 5 | [
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Homework Help
Posted by Wellness on Friday, October 30, 2009 at 10:38am.
Prove that A.(BxC) = (AxB).C
• Vec & Geo - bobpursley, Friday, October 30, 2009 at 12:13pm
A × B = (Ax î + Ay ĵ + Az ˆk) × (Bx î + By ĵ + Bz ˆk)
A × B = Ax î × Bx î + Ax î × By ĵ + Ax î × Bz ˆk
+ Ay ĵ × Bx î + Ay ĵ × By ĵ + Ay ĵ ... | 5 | [
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Mercator projection and scale.
October 21st 2008, 06:55 AM #1
Newbie
Joined
Mar 2008
Posts
8
Mercator projection and scale.
I need to draw maps on a computer screen.
From Wikipedia, I found that for a given latitude, the "y" value for a Mercator projection is given by...
y = ln(tan(Latitude) + ... | 4 | [
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-... | 30,566 | 30566 | |
Need more help understanding logarithm prob.
log 4 – log 400,000 = and thank you soroban
log(4) - log(400,000) =log(4) - log(4*100,000) =log(4) - (log(4) + log(100,000)) =log(4) - log(4) - log(100,000) = -log(100,000) = -5
Hello again, eebjr! Yet another approach . . . Simplify: . $\log(4) - \log(400,\!000)$ $\log(4)... | 4 | [
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Archimedes parabola/ Triangles
June 15th 2009, 06:35 AM
abccbaabc014
Archimedes parabola/ Triangles
The Quadrature of the Parabola - Wikipedia, the free encyclopedia
I can follow the geometric proof on this page, fine, but I can't figure out why the second triangles height is 1/4th of the first. Can anyone ... | 4 | [
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... | 30,568 | 30568 | |
Actuarial Loan Settlement equation
December 18th 2011, 01:10 AM #1
Newbie
Joined
Dec 2011
Posts
3
Actuarial Loan Settlement equation
I’m looking for some assistance in deciphering the settlement formula detailed in the link below so I can put this into practical use in a spread sheet. What I am looking t... | 5 | [
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clarification on differential equation workings
October 24th 2009, 01:57 PM
ben.mahoney@tesco.net
clarification on differential equation workings
the question is:
Q) Find the general solution of the differential equation dx/dt - x = t+1
A) Here are my workings. Does this look correct?
dx/dt = x + t ... | 5 | [
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Inequality
April 12th 2010, 12:56 PM #1
Newbie
Joined
Dec 2009
Posts
13
Inequality
Hello. I am really stuck with this problem. Please help.
x and y are positive numbers. Which of the following implies $x^y \ge y^x$
A: $x \leq e \leq y$
B: $y \leq e \leq x$
C: $x \leq y \leq e \text { or... | 5 | [
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-0.13... | 30,571 | 30571 | |
dP/dt =, how do you find the solution?
April 14th 2010, 11:23 AM #1
Member
Joined
Apr 2008
Posts
123
dP/dt =, how do you find the solution?
dP/dt = te^(t+P) ; where P = 1 when t = 0.
I got to the part where:
dP/(e^P) = te^t dt
Found the integral:
-e^(-P) = te^t - e^t + c
Not sure... | 5 | [
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... | 30,572 | 30572 | |
Quiz question that stumped me
September 12th 2008, 10:47 AM #1
Newbie
Joined
Aug 2008
Posts
13
Quiz question that stumped me
We had a quiz today and there was a problem where I didn't even know where to start... I was hoping someone could help me out on it.
I'm not very good with the syntax to this ... | 5 | [
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Volumes of n-dimensional balls
Posted by: Dave Richeson | May 9, 2010
Volumes of n-dimensional balls
We all know that the area of a circle is ${\pi r^{2}}$ and the volume of a sphere is ${\displaystyle \frac{4}{3}\pi r^{3}}$, but what about the volumes (or hypervolumes) of balls of higher dimension?
For a fun exerci... | 5 | [
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Homework Help
Posted by kelly on Saturday, July 30, 2011 at 9:17pm.
can somebody help me out? am I doing this right? using the elimination method.
y = 3x + 2
2y-6x=4
We have the solution for y so we use this to solve
2 (3x + 2) – 6x = 4
6x + 4 – 6x = 4
0x +4 = 4
Subtract 4 from both sides
X=0
Now we use 0 for... | 4 | [
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Two difficult solve for x qns.
January 6th 2010, 05:01 PM
-Equilibrium-
Two difficult solve for x qns.
Working on this set of questions, and Ive come to two difficult qns, which Im not sure which route I should take at tackling them, its come to a point where Ive written and erased it so many
times.. my page... | 4 | [
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... | 30,576 | 30576 | |
A New Fixed Point Theorem and Applications
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 432402, 5 pages
http://dx.doi.org/10.1155/2013/432402
Research Article
A New Fixed Point Theorem and Applications
^1Department of Economic Mathematics, South Western University of Finance and Economics, Chengdu, S... | 5 | [
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-0.0... | 30,577 | 30577 | |
Iterative Solution to a System of Matrix Equations
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 124979, 7 pages
http://dx.doi.org/10.1155/2013/124979
Research Article
Iterative Solution to a System of Matrix Equations
^1Department of Mathematics, Shanghai University, Shanghai 200444, China
^2School o... | 5 | [
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-0.0... | 30,578 | 30578 | |
linear map - matrix description
July 6th 2010, 11:29 PM #1
Member
Joined
Mar 2010
Posts
175
linear map - matrix description
$A$ = $\left(\begin{array}{ccc}1&{-a}&{a}\\{-1}&a&{a+2}\\1&{2a+3}&{-3a-4}\end{array}\right)$
$a \in R$
$A$ describes the linear map $T: R^3 \rightarrow R^3$ for the basis ... | 5 | [
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-0.0625,
... | 30,579 | 30579 | |
Differential Equation + Taylor Polynomial + Euler's Method
May 31st 2008, 07:40 AM
bakanagaijin
Differential Equation + Taylor Polynomial + Euler's Method
Consider the differential equation $\frac{dy}{dx} = 5x^2 - \frac{6}{y-2}$ for $y eq 2$. Let $y=f(x)$ be the particular solution to this differential equation ... | 5 | [
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0.00... | 30,580 | 30580 | |
Normal, self-adjoint, or neither linear operator
April 11th 2008, 08:35 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Normal, self-adjoint, or neither linear operator
In $P_{2}( \mathbb {R} )$, let T be defined by T(f) = f', where $<f,g> = \int _{0}^{1} f(t)g(t)dt$
Is T normal, self-adjo... | 5 | [
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-0.0012054443... | 30,581 | 30581 | |
Adding an affine term to linear SVM / logistic regression objective function
Hello. I am working currently on a problem where I have to solve either an L2-regularized logistic regression or L2-reg linear SVM problem, where I have an added affine term.
So my problem for example is: min_ w {C*sum_i log(1+exp(w * x_i *... | 4 | [
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0.10302734375,
0.025146484375,
0.097... | 30,582 | 30582 | |
please help me :-(....distance problem
December 4th 2007, 08:45 PM #1
Newbie
Joined
Dec 2007
Posts
5
please help me :-(....distance problem
It takes a private airplane 8.75 hours to make the 2100-mile flight from
atlanta to los angeles and 5 hours to make the return trip. Assuming that the wind blows... | 4 | [
-0.0002918243408203125,
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Curvilinear Regression
Objectives
How does polynomial regression test for quadratic and cubic trends?
What are orthogonal polynomials? ... | 5 | [
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0.04125976562... | 30,584 | 30584 | |
A fantastic interactive tutorial of the sequent calculus • /r/programming
all 26 comments
[–]DGolden7 points8 points9 points
sorry, this has been archived and can no longer be voted on
[–]vagif3 points4 points5 points
sorry, this has been archived and can no longer be voted on
[–]-3 points-2 points-1 points
sorry... | 5 | [
0.049072265625,
0.056884765625,
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VOF Modeling and Analysis of the Segmented Flow in Y-Shaped Microchannels for Microreactor Systems
Advances in High Energy Physics
Volume 2013 (2013), Article ID 732682, 6 pages
http://dx.doi.org/10.1155/2013/732682
Research Article
VOF Modeling and Analysis of the Segmented Flow in Y-Shaped Microchannels for Microre... | 4 | [
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0.0169677734375,... | 30,586 | 30586 | |
Math Help
June 7th 2010, 05:34 AM #1
Newbie
Joined
Dec 2009
Posts
21
Complex
(a) Show that (3 – i)^2 = 8 – 6i.
(b) The quadratic equation
az^2 + bz + 10i = 0,
where a and b are real, has a root 3 – i.
(i) Show that a = 3 and find the value of b.
(ii) Determine the other root of the ... | 4 | [
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-0.023315429... | 30,587 | 30587 | |
Help (story problems)
March 6th 2007, 03:22 AM #1
Help (story problems)
1. The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.
2. A bus leaves a station at 1 P.M., traveling west at an averag... | 4 | [
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-0.03051... | 30,588 | 30588 | |
Cauchy-Euler DE
January 19th 2010, 03:11 PM
Aryth
Cauchy-Euler DE
A second order homogeneous Cauchy-Euler Equation is an equation of the type:
$ax^2y''(x) + bxy'(x) + cy(x) = 0$, a,b,c constants, $x > 0$
Explain why, in the case of the homogeneous C-E DE, a solution can be of the form $y = x^m$
It... | 4 | [
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-0.073730468... | 30,589 | 30589 | |
How to construct triangle
April 22nd 2010, 12:26 PM
metlx
How to construct triangle
$c - a = 2cm$
$b = 5 cm$
$\gamma = 30^0$
I know how to solve if you have a-b = x.. you construct a isosceles triangle and then continue from there.. but when you have a hypotenuse it's different..
can someone he... | 4 | [
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proof of the identity for a coin having even number of heads
November 24th 2009, 07:25 AM #1
Newbie
Joined
Nov 2009
From
NY, NY
Posts
5
proof of the identity for a coin having even number of heads
Suppose that n independent tosses of a coin having probability p of coming up heads are made. Show that ... | 4 | [
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-0.... | 30,591 | 30591 | |
Math Help
If you intend... $\sum_{n}n\cdot z^{z} = z^{z} \cdot \sum_{n} n$ ... it diverges $\forall z$ ... If you intend however ... $\sum_{n} z^{n\cdot z}$ ... that's a nice problem Kind regards $\chi$$\
sigma$
If we write the series as ... $\varphi(z)= \sum_{n=0}^{\infty} (z^{z})^{n}$ (1) ... it is evident that (1)... | 4 | [
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... | 30,592 | 30592 | |
Another definite integral problem
The question:
$\int_{0}^{\pi} \frac{sinx}{5 + 2cosx} dx$
My attempt:
Let u = 5 + 2cosx
$\frac{du}{dx} = -2sinx$
du = -2sinx dx
$-\frac{1}{2} \int_{0}^{\pi} \frac{1}{u} du$
$x = 0 \rightarrow u = 7$
$x = \pi \rightarrow u = 3$
$-\frac{1}{2... | 5 | [
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Sizing Pneumatics for Performance and Efficiency
Authored by:
Curtis Harvey
Lead Mechanical Engineer
Foth Production Solutions LLC
Lake Elmo, Minn.
Edited by Kenneth J. Korane
ken.korane@penton.com
Key points:
• Traditional techniques size pneumatic circuits based on valve flow.
• To improve performance and energy ef... | 5 | [
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... | 30,594 | 30594 | |
Mathematical Modeling and Analysis of Nonlinear Enzyme Catalyzed Reaction Processes
Journal of Theoretical Chemistry
Volume 2013 (2013), Article ID 931091, 7 pages
http://dx.doi.org/10.1155/2013/931091
Research Article
Mathematical Modeling and Analysis of Nonlinear Enzyme Catalyzed Reaction Processes
Department of ... | 5 | [
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-0.... | 30,595 | 30595 | |
Double Ferris wheel problem
November 24th 2009, 10:38 AM #1
Newbie
Joined
Nov 2009
Posts
7
Double Ferris wheel problem
I got this project that I am doing for pre-Calculus and I got question #1 and question 2 but could someone point me in the right directions so i can solve the other problems.
Mod... | 4 | [
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0.03... | 30,596 | 30596 | |
help bivariate
March 22nd 2008, 03:42 AM #1
Member
Joined
Dec 2007
Posts
90
help bivariate
Five observations of bivariate data produce the following results, denoted as (xi, yi)for i =1, 2, 3, 4, 5.
(13, 2.7) (13, 4.0) (18, 2.8) (23, 3.3) (23, 2.2)
[Σ x = 90, Σ y = 15.0, Σ x2 = 1720, Σ y2 = 46.... | 4 | [
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-0.0766601562... | 30,597 | 30597 | |
Qhull
Up: Home page for Qhull (http://www.qhull.org)
Up: Qhull manual: Table of Contents
To: Programs Options Output Formats Geomview Print Qhull Precision Trace
To: FAQ: Table of Contents (please wait while loading)
Frequently Asked Questions about Qhull
If your question does not appear here, see:
... | 5 | [
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-... | 30,598 | 30598 | |
Population
October 17th 2009, 10:33 AM
jarny
Population
Hello, I am having trouble solving this problem exactly. I used a 20 population difference both ways at t=1 and t= -1 to approximate the answer but it is still not right. The answer is 484
rabbits after 12 months.
The time rate of change of a rabb... | 4 | [
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