content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Check my CALCULUS work, please! :)
Posted by Samantha on Monday, November 11, 2013 at 9:24am.
Question 1.
lim h->0(sqrt 49+h-7)/h =
14
1/14***
0
7
-1/7
Question 2.
lim x->infinity(12+x-3x^2)/(x^2-4)=
-3***
-2
0
2
3
Question 3.
lim x->infinity (5x^3+x^7)/(e^x)=
infinity***
0
-1
3
Question 4. Given t... | 5 | [
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0.03125,
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-0.0625,
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-0.060546875,
-0.0544... | 31,700 | 31700 | |
How do I differentiate a vector times vector?
May 13th 2009, 11:17 AM
Twig
How do I differentiate a vector times vector?
Hi
This came up as I was reading about Non-linear least squares fitting.
We have data points $(t_{i},y_{i}) \, i=1 \cdots \, m$ .
We wish to find the vector $\vec{x}$ of paramete... | 5 | [
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Power Series for Indefinite Integral
April 25th 2010, 08:42 PM #1
Newbie
Joined
Apr 2010
Posts
8
Power Series for Indefinite Integral
Find a power series for the indefinite integral of cos(x^2) dx. Use both sigma notation and expanded form, including the first four nonzero terms of the series.
$\cos... | 5 | [
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0.03125,
0.0361328125,
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-0.0185546875,
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-0.0291748046875,
0.054931640625,
-0.033935546... | 31,702 | 31702 | |
solving the equation
Solve: 2x + 3 = |4x - 7| Thanks for your help!
There are two cases to consider: 1. 4x-7>=0 then we need to solve: 2x+3 = 4x-7 which has solution: x=5, which we need to check satisfies the assumed condition 4x-7 >=0, which it does so x=5 is a
solution. 2. 4x-7<0 then we need to solve: 2x+3 = -(4x-7... | 4 | [
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... | 31,703 | 31703 | |
Calc: Problem Solving
December 14th 2008, 04:12 PM
09Ashaw
Calc: Problem Solving
THe graph of y = f (x) passes through the origin. the arc length of the curve from (0,0) to (x, f(x)) is given by s(x) = (integral from a to x) of the square roote of 1 + e ^ t dt... Identify the
function f.
December 14th 2008,... | 5 | [
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Could someone check my answer. expected value a utility
February 6th 2008, 04:30 PM #1
Newbie
Joined
Feb 2008
Posts
12
Could someone check my answer. expected value a utility
For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) = .35.
s1 s2 s3
d1 -5000 1000... | 5 | [
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-... | 31,705 | 31705 | |
Question about Residual Norms
April 21st 2011, 04:33 PM #1
Newbie
Joined
Apr 2011
Posts
2
Suppose A is 4x4, with 1s in the positions (1,2), (2,3), (3,4), & (4,1), and zeros everywhere else. Let b= $e_{1}$ and $x_{0}=0$. How can I show that||r_0||_2 = ||r_1||_2=||r_3||_2 ? r is the
residual--that is, r... | 5 | [
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Normal to a space curve.
March 17th 2009, 04:17 AM #1
Senior Member
Joined
Jul 2006
Posts
364
Normal to a space curve.
The question is:
Find the Cartesian form of the equation for the plane that is perpendicular to the space curve
$\mathbf{r}(t)=16t^{\frac{1}{4}}\mathbf{i} - 4t^{\frac{3}{4}}\mat... | 5 | [
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4 vectors
May 9th 2007, 07:50 PM
kolahalb
4 vectors
Let us define 4 vector by 4 co-ordinates (x1,x2,x3,x4) where (x1,x2,x3) are space components (like x,y,z) and x4 is related to time as x4=ict.Express the following equations in tensor notation.
(i)The continuity equation: div J+(del*rho/del t)=0
(ii)T... | 4 | [
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integrable function
March 13th 2009, 12:53 PM
manjohn12
integrable function
Suppose $f$ is Riemann integrabe on $[a,b]$. Let $\xi$ be any number in $[a,b]$, and let $r$ be any real number different from $f(\xi)$. Define a function $g$ as follows: $g(x) = \begin{cases} f
(x) \ \ \ \ \text{if} \ x eq \xi \\ r ... | 5 | [
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Is the range of the integers 6, 3, y, 4, 5, and x greater
Author Message
TAGS:
Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink] 25 Jun 2012, 02:03
1
... | 4 | [
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... | 31,710 | 31710 | |
quadratic equations?
November 12th 2008, 08:36 AM #1
Newbie
Joined
Nov 2008
Posts
1
quadratic equations?
AT is a tangent at T to a circle, centre O.
OT = x cm AT = (x+5) cm OA = (x+8) cm
a) Show that x^2-6x-39=0
b) Solve the equation x^2-6x-39=0 to find the radius of the circle
Give your... | 4 | [
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Orthogonal polynomials/functions on the interval [0,1] but with same weight as Gegenbauer polynomials
up vote 4 down vote favorite
1
I am looking for an othogonal basis of functions over the interval $[0,1]$ with weight function $(1-x^2)^{\alpha-1/2}$. Gegenbauer polynomials are frustratingly close to what I need, but... | 5 | [
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Wolfram Demonstrations Project
Applications of Driving-Force and McCabe-Thiele Diagrams to Binary Distillation Processes
The driving-force diagram for a constant relative volatility binary mixture is obtained by plotting versus , where and are the liquid and vapor mole fractions of the light component. Explicitly, the... | 4 | [
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Homework Help
Posted by Anonymous on Sunday, November 18, 2007 at 5:16pm.
A population of insects increases at a rate of 250 + 16t +0.3t^2 insects per day. Find the insect population after 3 days, assuming that there are 40 insects at t=0.
• MATH - Reiny, Sunday, November 18, 2007 at 10:34pm
d(Insects)/dt = 25... | 4 | [
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Approximate Cubic Lie Derivations
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 425784, 5 pages
http://dx.doi.org/10.1155/2013/425784
Research Article
Approximate Cubic Lie Derivations
^1Faculty of Management, University of Primorska, Cankarjeva 5, 6104 Koper, Slovenia
^2Faculty of Logistics, Universi... | 5 | [
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0.02136230468... | 31,715 | 31715 | |
Prove sqrt(6) is irrational
1) Each SQRT(Prime Number) is irrational &
2) SQRT(Prime Number 1) * SQRT(Prime Number 2) is irrational if Prime Number 1 is not equal to Prime Number 2.
The problem is that you never really establish the truth of either point
1
or point
2
anywhere in the proof
kx21
I still think tha... | 4 | [
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the encyclopedic entry of geodetic longitude
Geodetic systems
or
geodetic data
are used in
geodesy
,
navigation
,
surveying
by
cartographers
and
satellite navigation systems
to translate positions indicated on their products to their real position on
earth
.
The systems are needed because the earth is n... | 4 | [
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... | 31,717 | 31717 | |
Need help with an interesting limit
November 16th 2012, 08:17 AM #1
Newbie
Joined
Nov 2012
From
Pocasset, OK
Posts
1
Need help with an interesting limit
Greetings all! Here's an interesting problem I could use advice & council on. I'm attaching a short Word file with equations and a picture.
I h... | 4 | [
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Finite Difference Solution of Elastic-Plastic Thin Rotating Annular Disk with Exponentially Variable Thickness and Exponentially Variable Density
Journal of Materials
Volume 2013 (2013), Article ID 809205, 9 pages
http://dx.doi.org/10.1155/2013/809205
Research Article
Finite Difference Solution of Elastic-Plastic Thi... | 4 | [
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Second Question about Reversing Equations
March 24th 2011, 11:55 PM #1
Newbie
Joined
May 2010
Posts
11
Thanks
1
Second Question about Reversing Equations
Here another similar question but more complicated than former:
$<br /> \begin{cases}<br /> & u=a^3+3b^2d+3bc^2+3ce^2+3d^2e+6abe+6acd \\ <br /... | 4 | [
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... | 31,720 | 31720 | |
Homework Help
Posted by Holly on Thursday, December 10, 2009 at 6:21pm.
How would you solve this? I don't even know how to begin this... I know the answer is 4m^2 + 3m + 19 + (64/m-3) but I want to know how to do it incase its on the test.
4m^3 - 9m^2 + 10m + 7 / m-3
• algebra - Emily, Thursday, December 10, 2009 ... | 4 | [
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0.... | 31,721 | 31721 | |
set of odd integers proof
February 24th 2010, 02:21 PM
james121515
set of odd integers proof
I am working on a simple set theory proof involving the definition of odd numbers, and so far I've done one containment. I would guess that if thiss is correct, then the other containment would
be equally simple. Doe... | 4 | [
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the encyclopedic entry of absolutely convergent
In
mathematics
, a
series
is the
sum
of the terms of a
sequence
of numbers.
Given a sequence $left \left\{ a_1, a_2, a_3,dots right \right\}$, the nth partial sum $S_n$ is the sum of the first n terms of the sequence, that is,
$S_n = sum_\left\{k=1\right\}^n... | 4 | [
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0... | 31,723 | 31723 | |
About Euler's constant (2)...
November 6th 2009, 01:35 AM
chisigma
About Euler's constant (2)...
Given ...
$\gamma(z)= \int_{0}^{\infty} t^{z}\cdot e^{-t}\cdot dt$ (1)
... and the Euler's constant...
$\gamma = \lim_{n \rightarrow \infty} \{\sum_{k=1}^{n} \frac{1}{k} - \ln n \}= .577215664901...$ (... | 5 | [
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-0... | 31,724 | 31724 | |
Public Key Encryption
Page 3 of 3 Follow
... | 5 | [
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0.... | 31,725 | 31725 | |
Applications of Integration: Volume Problem
December 7th 2008, 02:38 PM #1
Newbie
Joined
Oct 2008
Posts
11
Applications of Integration: Volume Problem
Hello, I have a two problem in which I find difficult to understand.
Basically, it's the wording of the problems that's confusing the heck out of me. ... | 5 | [
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Homework Help
Posted by thaokieu on Sunday, January 30, 2011 at 8:02pm.
During the first 18 minutes of a 1.0-hour trip, a car has an average speed of 11 m/s. What must the average speed of the car be during the last 42 minutes of the trip be if the car is to have an
average speed of 21 m/s for the entire trip?
• ph... | 4 | [
0.0380859375,
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0.019775390625,
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0.009521484375... | 31,727 | 31727 | |
Compute an integral
yes, but can you find another way to solve it?
Another way? What does (s)he want? Hmm ... Let $I=\int_0^1\frac{\ln x}{\sqrt{x-x^2}}\mathrm dx$ and let $J=\int_0^1\frac{\ln x}{\sqrt{1-x^2}}\mathrm dx$. The substitution $x=u^2$ shows that $I=4J$.
The substituion $y=1-x$ shows that $I=\int_0^1\frac{\l... | 5 | [
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Logistic Growth
April 10th 2010, 04:03 PM
WahooMan
Logistic Growth
q(t) = a / 1 + be^-kt
where b = a / q(initial) - 1 and k > 0 is constant.
Assuming a > q(initial) > 0, prove that the function q is everywhere increasing by analyzing its first derivative. Do not use specific values for any of the const... | 4 | [
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Detection and Isolation of Simultaneous Additive and Parametric Faults in Nonlinear Stochastic Dynamical Systems
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 848519, 17 pages
http://dx.doi.org/10.1155/2012/848519
Research Article
Detection and Isolation of Simultaneous Additive and Parametric F... | 4 | [
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Help please with reflection problem!?
Posted by Knights on Friday, February 22, 2013 at 2:29pm.
A laser is shot from vertex A of square ABCD of side length 1, towards point P on BC so that BP = 3/4. The laser reflects off the sides of the square, until it hits another vertex, at which point it
stops. What is the lengt... | 4 | [
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0.06298828125,
0.02... | 31,731 | 31731 | |
quad. residues
Last edited by bigb; October 26th 2008 at 06:45 PM.
this is false! the correct statement is: $x^n+1$ factors as a product of $\tau(m)$ irreducible polynomials, where $\tau(m)$ is the number of divisors of $m$. here is why: so we have $n=2^km,$ for
some integer $k \geq 0.$ see that $A=\{2^{k+1}d: \ d \mi... | 5 | [
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... | 31,732 | 31732 | |
Amortising Problem
July 25th 2012, 01:25 AM #1
Newbie
Joined
Jul 2012
From
australia
Posts
7
Amortising Problem
Hello Everyone, This is my first post here.
I have a hypothetical problem regarding the sale of a house. There are two scenarios involved and I would like to calculate the best outcome ... | 5 | [
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0.000... | 31,733 | 31733 | |
Homework Help
Posted by anonymous on Tuesday, July 2, 2013 at 12:58pm.
What is the largest integer less than 1000 that can be represented as a^3+b^3+c^3 for some integers a,b,c, such that a+b+c=0.
• math - MathMate, Tuesday, July 2, 2013 at 4:39pm
By trial and error, I get:
11^3+(-5)^3+(-6)^3=990
If w... | 4 | [
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... | 31,734 | 31734 | |
integer proof help
October 17th 2012, 12:40 AM #1
Super Member
Joined
Sep 2008
Posts
607
integer proof help
Prove that there is no integer n such that
$\frac{1}{n^{3}-1}+ \frac{1}{n^{3}+1} = \frac{1}{n}$
Can I just say, when n = 1 it it does not work for '1' than it must not work for all other ... | 4 | [
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0.0284423828125,
... | 31,735 | 31735 | |
Math Help
May 23rd 2009, 12:11 PM #1
Newbie
Joined
May 2009
From
FL.
Posts
2
Calculus
What is the equation for the tangent line of a circle with the point on the circle (-1, 2). center of circle (2, -1). i just cant remember the formula. thanks.(worried)
Last edited by mr fantastic; March 7th 2... | 4 | [
-0.09375,
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0.033935546875,
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0.0649... | 31,736 | 31736 | |
urgent help with area of shapes
October 26th 2008, 02:47 AM #1
Newbie
Joined
Oct 2008
Posts
5
urgent help with area of shapes
ok, this might sound dumb but i am dyslexic, but basically i have been given the square footage of an area (30000feet) and knowing this i must make a shape out of it, not just a s... | 4 | [
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0.11... | 31,737 | 31737 | |
Momentum and Impulse
December 9th 2009, 07:30 PM #1
Junior Member
Joined
Nov 2009
Posts
29
Momentum and Impulse
It may surprise you to learn that the collision of a baseball and bat lasts only about a thousandth of a second. Here we calculate the average force on the bat during this collision by first
... | 5 | [
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-0... | 31,738 | 31738 | |
Show this matrix is similar to a diagonal matrix
August 2nd 2011, 03:46 AM #1
Newbie
Joined
Mar 2011
Posts
13
Show this matrix is similar to a diagonal matrix
A square matrix $A$ (of some size $n \times n$) satisfies the condition $A^2 - 8A +15I = 0.$
(a) Show that this matrix is similar to a diagon... | 4 | [
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0.01... | 31,739 | 31739 | |
Column Space and Row space
June 19th 2007, 03:28 PM
Carl505
Column Space and Row space
I have a n by n matrix in which i have to calculate the orthogonal basis for the column space and row space.
I keep getting the same basis for both. Is that supposed to happen when dealing with a square matrix, or am i doi... | 5 | [
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0... | 31,740 | 31740 | |
how many ways to make change for 100 dollars?
May 8th 2008, 07:47 AM #1
Member
Joined
Jan 2008
Posts
175
how many ways to make change for 100 dollars?
using 10 and 20 dollar bills?
its a generating function problem, for the life of me i dont know what to do.
The answer is the coefficient of $x... | 4 | [
-0.0301513671875,
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0.10400390625,
-0.0673828125,
0.01879882812... | 31,741 | 31741 | |
Jacobian determinant
May 6th 2010, 08:15 PM #1
Member
Joined
May 2008
Posts
77
Jacobian determinant
I'm going to rush through most of this stuff, as I feel I've got it correct. It's just the answer to the last question that's bugging me.
Question
Let R be the region in the xy-plane enclosed by t... | 5 | [
-0.0007476806640625,
0.05712890625,
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0.00933837890625,
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-0.08496... | 31,742 | 31742 | |
m
Greedy is Good
By supernova
TopCoder Member
John Smith is in trouble! He is a TopCoder member and once he learned to master the "Force" of dynamic programming, he began solving problem after problem. But his once obedient computer acts quite
unfriendly today. Following his usual morning ritual, John woke up at 10 ... | 5 | [
-0.08935546875,
0.03173828125,
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0.02001953125,
0.0279541015625,
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0.0206298828125,
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0.002777099609375,
-0... | 31,743 | 31743 | |
the encyclopedic entry of complete metric space
In
mathematical analysis
, a
metric space M
is said to be
complete
(or
Cauchy
) if every
Cauchy sequence
of points in
M
has a
limit
that is also in
M
or alternatively if every Cauchy sequence in
M
converges in
M
.
Intuitively, a space is complete if t... | 4 | [
-0.027099609375,
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0.0255126953125,
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0.01251220703125,
... | 31,744 | 31744 | |
Critical Periods of Perturbations of Reversible Rigidly Isochronous Centers
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 481501, 12 pages
http://dx.doi.org/10.1155/2013/481501
Research Article
Critical Periods of Perturbations of Reversible Rigidly Isochronous Centers
^1The Institute of Mathematics, ... | 5 | [
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Number of subgroups of an abelian group
How many subgroups of order $p^{2}$ does the abelian group $Z_{p^{3}} \oplus Z_{p^{2}}$ have?
A subgroup of an abelian group inherits commutativity, and we know the order of the subgroup is $p^2$, so we can apply the fundamental theorem of finitely generated groups to see that t... | 5 | [
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0.... | 31,746 | 31746 | |
Journal of the Brazilian Society of Mechanical Sciences
Services on Demand
Article
Indicators
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Print version ISSN 0100-7386
J. Braz. Soc. Mech. Sci. vol.22 n.3 Campinas 2000
http://dx.doi.org/10.1590/S0100-73862000000300006
A Modified Contour Error Controller for a High Speed XY Table
Held... | 4 | [
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0.0412... | 31,747 | 31747 | |
Cyclotomic Fields over Q
April 16th 2009, 03:48 PM #1
Member
Joined
Oct 2008
Posts
130
Cyclotomic Fields over Q
Prove that E=Q(2^(1/3)) is not a subfield of any cyclotomic field over Q.
First I note that the extension E/Q is not Galois. It has only trivial automorphism group and is an extension of d... | 4 | [
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Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument
International Journal of Differential Equations
Volume 2010 (2010), Article ID 181784, 15 pages
http://dx.doi.org/10.1155/2010/181784
Research Article
Oscillation Theorems for Second-Order Forced Neutral Nonlin... | 5 | [
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Geodesics on a torus
October 23rd 2011, 06:45 PM #1
Junior Member
Joined
Sep 2010
Posts
36
Geodesics on a torus
Hi All, i have been asked to investigate Geodesics on a Torus and their different properties.
Unfortunately I am getting nowhere after trying for 2 hours. I must be missing something cruci... | 5 | [
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Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 560804, 18 pages
http://dx.doi.org/10.1155/2013/560804
Research Article
Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays
^1Key Laboratory of Advanced Process Control f... | 5 | [
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Brevet US4884248 - Method of restoring seismic data
RELATED APPLICATIONS
This application is a continuation-in-part of U.S. patent application Ser. No. 148,307 filed Jan. 25, 1988 pending, and hereby incorporated by reference as if reproduced in its entirety.
BACKGROUND OF THE INVENTION
This invention relates to sei... | 4 | [
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Wavelet Optimal Estimations for Density Functions under Severely Ill-Posed Noises
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 260573, 7 pages
http://dx.doi.org/10.1155/2013/260573
Research Article
Wavelet Optimal Estimations for Density Functions under Severely Ill-Posed Noises
Department of Applied... | 5 | [
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A Rotational And Translational Motion Is A Standalone Natural Phenomenon
A Rotational and Translational motion is standalone natural phenomenon
For this experiment, two identically thin cylinders which are initially static to the observer are taken. These cylinders are attached with internal mechanical springs that in... | 4 | [
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-0.0294189453125,
0.163... | 31,754 | 31754 | |
Parametric Question
January 21st 2010, 05:19 PM #1
Senior Member
Joined
Jul 2008
Posts
347
Hi
P(2ap, ap^2), Q(2aq,aq^2) and R(2ar,ar^2) are points on the parabola x^2 = 4ay.
a) Show that the equation of the normal at P is py+x = 2ap + ap^3.
b) Find the coordinates of the point of intersection... | 5 | [
-0.025634765625,
0.04541015625,
0.00946044921875,
0.00457763671875,
-0.01220703125,
0.045654296875,
0.044189453125,
0.00543212890625,
0.034423828125,
0.017333984375,
0.09912109375,
0.04345703125,
0.0322265625,
0.06396484375,
0.01434326171875,
0.0693359375,
-0.083984375,
-0.04492187... | 31,755 | 31755 | |
dansmath - lessons page - basic skills
Order of Operations [ top of page ] . . . 8/97 , revised 7/98
To do the operations in the right order, remember PEMDAS, which stands for:
Parentheses, Exponents, Multiplication-Division, Addition-Subtraction.
Prime Numbers and Factorizations [ top of pag... | 4 | [
-0.031982421875,
-0.0390625,
-0.0179443359375,
-0.027587890625,
0.036376953125,
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0.1171875,
0.01409912109375,
0.044189453125,
-0.03662109375,
0.0274658203125,
0.005950927734375,
0.01007080078125,
-0.0037994384765625,
-0.0269775390625,
-0.110351562... | 31,756 | 31756 | |
Homework Help
Posted by DANIELLE on Thursday, December 21, 2006 at 1:33am.
solve by graphing
3x+2y=8
6x+4y=16
You need to graph the 2 equations, and find where they intersect. That is your solution.
Somebody is pulling your leg: These are the same lines, there is no solution.
I UNDERSTAND i NEED TO FIND WHERE THE... | 4 | [
-0.0673828125,
-0.038330078125,
-0.0615234375,
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0.0439453125,
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0.00372314453125,
0.06591796875,
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0.058349609375,
0.003814697265625,
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0.1005859375,
-0.09130859375,... | 31,757 | 31757 | |
Urgent and important??! integral inequality
December 17th 2006, 10:33 AM #1
Urgent and important??! integral inequality
Hi guys,
please can someone here help me to prove that:
Assume that:
$\int_1^{\infty}c(x)^{1/2}<\infty$
this implies that:
$\lim_{x \to\infty}{x c(x)^{1/2}}=0$
than... | 5 | [
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0.06494140625,
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0.07666015625,
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0.039794921875,
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0.04541015625,
0.00811767578125,
-0.037841796875,
0.006683349609375,
0.056640625,
0.020751953125,... | 31,758 | 31758 | |
Ages Solution
The solution: Tim is 3, Jane is 8, and Mary is 15. A little grumbling is in order here, as clue number 1 leads to the situation a year and a half ago, when Tim was 1 1/2, Jane was 6 1/2, and Mary was
13 1/2.
This sort of problem is easy if you write down a set of equations. Let t be the year that Tim was... | 4 | [
-0.048828125,
0.05810546875,
0.0751953125,
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0.04443359375,
... | 31,759 | 31759 | |
Marginal Cost/Demand and Cost
November 3rd 2009, 07:53 AM #1
Marginal Cost/Demand and Cost
1. The Marginal Cost of a product is modeled by dC/dx = 4/(x+1)^1/2
When x=15, C=50. Find the Cost function.
2. The demand and cost functions for a product are given by:
p=600 -3x
C=0.3x^2+6x+600
where ... | 4 | [
0.004638671875,
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0.0400390625,
-0.07470703125,
0.029296875,
-0.028564453125,
0.033203125,
-... | 31,760 | 31760 | |
Construction a positive definite covariance matrix
Hi.
I am trying to simulate two seismic traces $S^1$ and $S^2$ represented as two 1D vectors. I want the correlation between $S^1$ and $S^2$to be a constant i.e. 0.9 and In order to simulate these
two trases I am wondering how to make this into a positive d... | 4 | [
-0.01025390625,
-0.140625,
0.043212890625,
-0.06787109375,
-0.01495361328125,
-0.0012054443359375,
-0.041259765625,
-0.031982421875,
-0.03515625,
0.01519775390625,
0.052490234375,
0.01422119140625,
0.0908203125,
-0.0279541015625,
-0.037353515625,
0.029052734375,
0.08642578125,
0.05... | 31,761 | 31761 | |
Calculating Entropy using Shannons Formula
January 14th 2009, 07:43 AM #1
Newbie
Joined
Jan 2009
Posts
2
Calculating Entropy using Shannons Formula
Hey guys,
I am real need of some help here. Basically I have a test tomorrow and the following question was on last years test and its completely over my... | 5 | [
0.06689453125,
0.08203125,
0.0703125,
-0.0284423828125,
0.019775390625,
0.0036773681640625,
0.11376953125,
-0.03662109375,
-0.00616455078125,
0.033935546875,
-0.055908203125,
-0.08056640625,
0.0927734375,
0.0556640625,
-0.050537109375,
0.11279296875,
-0.08349609375,
-0.04541015625,... | 31,762 | 31762 | |
stuck on this problem
September 1st 2008, 09:43 AM
DroMan
stuck on this problem
If a ball is thrown into the air with a velocity of 40ft./s its height in feet t seconds later is given by y=40t-16t^2.
a.)Find the average velocity for the time period beginning when t=2 and lasting
i.) 0.5 seconds ii.)0.1... | 4 | [
-0.003173828125,
0.051513671875,
0.08154296875,
-0.0205078125,
0.032470703125,
0.020751953125,
-0.0498046875,
0.12158203125,
-0.014404296875,
0.0703125,
0.0673828125,
-0.064453125,
-0.0213623046875,
0.03125,
-0.01470947265625,
0.11181640625,
-0.05810546875,
-0.039306640625,
-0.03... | 31,763 | 31763 | |
A Research on a Certain Family of Numbers and Polynomials Related to Stirling Numbers, Central Factorial Numbers, and Euler Numbers
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 158130, 10 pages
http://dx.doi.org/10.1155/2013/158130
Research Article
A Research on a Certain Family of Numbers and Polyno... | 5 | [
-0.09326171875,
-0.0205078125,
-0.025390625,
0.04248046875,
-0.045654296875,
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0.0576171875,
0.035888671875,
-0.025390625,
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-0.0303955078125,
-0.031005859375,
-0.023193359375,
-0.07568359375,
0.000568389... | 31,764 | 31764 | |
Superconductors - Magnetic Susceptibility
Determining the Critical Temperature with the Susceptibility Probe
The procedure that follows provides a step by step method for determining the critical temperature of the superconductor sample contained within the superconducting susceptibility probe included in
the Supercon... | 4 | [
-0.115234375,
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-0.0233154296875,
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0.039794921875,
-0.039794921875,... | 31,765 | 31765 | |
Flow rate
March 10th 2007, 06:32 AM #1
Member
Joined
Mar 2007
From
England
Posts
104
Flow rate
a) At a time t=0 a tank contains one unit of water. Water flows out of the tank at a rate proportional to the amount of water in the tank. The amount of water in the tank at time t is y. Show
that there... | 5 | [
-0.109375,
0.050048828125,
0.0169677734375,
0.015869140625,
-0.002838134765625,
-0.0011749267578125,
0.0380859375,
-0.0263671875,
0.035400390625,
0.044677734375,
0.0201416015625,
-0.06591796875,
0.0673828125,
0.06640625,
-0.019775390625,
0.0234375,
-0.091796875,
-0.01904296875,
-... | 31,766 | 31766 | |
A Comparative Elastohydrostatic Analysis of CFV- and Capillary-Compensated Multirecess Hydrostatic/Hybrid Journal Bearing Operating with Micropolar Lubricant
ISRN Tribology
Volume 2013 (2013), Article ID 924802, 17 pages
http://dx.doi.org/10.5402/2013/924802
Research Article
A Comparative Elastohydrostatic Analysis o... | 4 | [
-0.07470703125,
-0.0595703125,
-0.0024871826171875,
0.00092315673828125,
0.052490234375,
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0.1328125,
-0.007354736328125,
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-0.07666015625,
-0.018798828125,
0.00396728515625,
0.024169921875,
-0.0595703125,
-0.039306640625,
-0.031982421875,
... | 31,767 | 31767 | |
Trouble with Gamma function
September 10th 2012, 02:27 PM #1
Member
Joined
Jun 2012
From
Georgia
Posts
175
Thanks
22
Trouble with Gamma function
Solve for $\Gamma(-3/2).$
$\Gamma(-3/2) = \frac{1}{2} \cdot \frac{3}{2} \Gamma(1/2)$
$= \frac{4}{3} \int_{0}^\infty t^{1/2} e^{-t} dt$ <-- With... | 5 | [
-0.06884765625,
-0.0093994140625,
-0.01361083984375,
-0.0002079010009765625,
0.047119140625,
-0.042236328125,
-0.036376953125,
0.027587890625,
-0.0023651123046875,
-0.0203857421875,
0.0693359375,
0.004150390625,
-0.044677734375,
0.052734375,
-0.0166015625,
-0.07373046875,
0.036132812... | 31,768 | 31768 | |
prove
? ----- $\sqrt{5+\sqrt{21}}=\sqrt{2+\sqrt{3}}+\sqrt{4-\sqrt{7}}$ $5+\sqrt{21}=(\sqrt{2+\sqrt{3}}+\sqrt{4-\sqrt{7}})^2$ $5+\sqrt{21}=2+\sqrt{3} + 4-\sqrt{7} + 2\sqrt{8 - 2\sqrt{7} + 4\sqrt{3} -\sqrt
{21}}$ $2\sqrt{8 - 2\sqrt{7} + 4\sqrt{3} -\sqrt{21}} = \sqrt{21} - \sqrt{3} + \sqrt{7} - 1$ $8 - 2\sqrt{7} + 4\sqrt{... | 5 | [
-0.02197265625,
-0.004058837890625,
0.06298828125,
0.08935546875,
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-0.0272216796875,
0.02099609375,
0.0478515625,
-0.024658203125,
0.061767578125,
0.00128936767578125,
0.0027008056640625,
0.0341796875,
-0.03662109375,
-0.018310546875,
-0.0791015625,... | 31,769 | 31769 | |
Multiplication and Division of Rational Expressions
Okay so that was meant to be: 28x+4 over 45x-30, divided by 14x+7 over 30x-20.
I wish i knew how to do these off hand
the way you do these is the same way you divide by fractions: (a/b) ÷ (c/d) = (a/b)(d/c) = (ad)/(bc) in this case, a = 28x + 4, b = 45x - 30, c = 14... | 4 | [
-0.033447265625,
0.09716796875,
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0.00787353515625,
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0.037353515625,
-0.0283203125,
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0.00872802734375,
0.038818359375,
0.0693359375,
-0.1328125,
0.053466796875,
0.0986328125,
-0.03515625,
0.10107421875,
-0.0654296875,
0.150390625,
... | 31,770 | 31770 | |
Analysis of Scaling Law and Figure of Merit of Fiber-Based Biosensor
Journal of Nanomaterials
Volume 2012 (2012), Article ID 154736, 7 pages
http://dx.doi.org/10.1155/2012/154736
Research Article
Analysis of Scaling Law and Figure of Merit of Fiber-Based Biosensor
^1New Vision Inc., Banciao, New Taipei City, Taiwan
... | 4 | [
0.032958984375,
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0.0250244140625,
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0.10107421875,
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0.0011138916015625,
0.057861328125,
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0.111328125,
-0.0556640625,
-0.0037841796875,
-0.0279541015625,
-0.0378... | 31,771 | 31771 | |
Morse-Smale systems
From Scholarpedia
Michael Shub (2007), Scholarpedia, 2(3):1785. doi:10.4249/scholarpedia.1785 revision #132702 [link to/cite this article]
More-Smale systems are the simplest dynamical systems. They are structurally stable and have intimate connections to the topology of manifolds. We elucidate ... | 4 | [
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0.035888671875,
-0.10205078125,
0.05... | 31,772 | 31772 | |
AC Electricity : RMS Quantities
First Part of AC Electricity for Industrial Instrumentation Series
It is often useful to be able to express the amplitude of an AC quantity such as voltage or current in terms that are equivalent to direct current (DC). Doing so provides an “apples-to-apples”
comparison between AC and... | 5 | [
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-0.0017242431640625,
-0.00009965896606445312,
... | 31,773 | 31773 | |
Multiobjective Optimization of Evacuation Routes in Stadium Using Superposed Potential Field Network Based ACO
Computational Intelligence and Neuroscience
Volume 2013 (2013), Article ID 369016, 11 pages
http://dx.doi.org/10.1155/2013/369016
Research Article
Multiobjective Optimization of Evacuation Routes in Stadium ... | 4 | [
0.06591796875,
0.0140380859375,
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0.03515625,
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0.0262451171875,
0.022705078125,
-0.0262451171875,
0.033935546875,
0.0308837890... | 31,774 | 31774 | |
FMCW Radar for Small Displacement Detection of Vital Signal Using Projection Matrix Method
International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 571986, 5 pages
http://dx.doi.org/10.1155/2013/571986
Research Article
FMCW Radar for Small Displacement Detection of Vital Signal Using Projectio... | 4 | [
-0.02001953125,
0.05224609375,
-0.041748046875,
-0.0004062652587890625,
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0.00099945068359375,
0.06884765625,
0.0026092529296875,
-0.06494140625,
-0.028198... | 31,775 | 31775 | |
[SOLVED] Difference of two Squares
March 24th 2009, 07:00 PM #1
Junior Member
Joined
Feb 2009
Posts
26
[SOLVED] Difference of two Squares
Q.Use the difference of two squares method to factorise:
$(y + 4)^2 - (y - 2)^2$
the answer is $12(y + 1)$ but i have absolutely no idea how to work it out.
... | 4 | [
0.0198974609375,
0.042724609375,
-0.00150299072265625,
-0.010986328125,
0.0023193359375,
0.09130859375,
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0.018798828125,
-0.0242919921875,
-0.04638671875,
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0.052734375,
0.00958251953125,
0.01141357421875,
0.03759765625,
0.052978515625,
0.0211181640625,
... | 31,776 | 31776 | |
A Hybrid Genetic Programming Method in Optimization and Forecasting: A Case Study of the Broadband Penetration in OECD Countries
Advances in Operations Research
Volume 2012 (2012), Article ID 904797, 32 pages
http://dx.doi.org/10.1155/2012/904797
Research Article
A Hybrid Genetic Programming Method in Optimization an... | 4 | [
-0.035888671875,
0.01025390625,
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-0.025634765625,
-0.061767578125,
-0.009765625,
-0.005279541015625,
-0.0... | 31,777 | 31777 | |
Simple harmonic motion: origin of the formula v^2=w^2(a^2-x^2)
July 24th 2009, 07:00 PM
ssadi
Simple harmonic motion: origin of the formula v^2=w^2(a^2-x^2)
I forgot how this formula $v^2=w^2(a^2-x^2)$ comes in the simple harmonic motion. I mean $v^2=w^2 r^2$ but then how do you substitute $(a^2-x^2)$ in place o... | 4 | [
0.00125885009765625,
0.041748046875,
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0.0400390625,
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0.00860595703125,
0.0908203125,
0.007415771484375,
0.10205078125,
0.040283203125,
-0.0269775390625,
0.010498046875,
0.04541015625,
0.03076171875,
-0.00279235839843... | 31,778 | 31778 | |
Eigenvectors and eigenspaces
November 2nd 2008, 09:31 AM #1
Member
Joined
Jul 2008
From
Sofia, Bulgaria
Posts
75
Eigenvectors and eigenspaces
hi there!
I´m having some trouble with calculating the eigenvectors for the following matrix:
$\left(\begin{array}{ccc}3&2&1\\0&1&2\\0&1&-1\end{array... | 4 | [
-0.033203125,
-0.04052734375,
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-0.061279296875,
-0.0205078125,
-0.033447265625,
0.03662109375,
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-0.014892578125,
-0.058837890625,
-0.0250244140625,
0.0159912109375,
-0.048828125,
-0.0576... | 31,779 | 31779 | |
Newton Raphson
March 2nd 2009, 07:00 AM #1
Newbie
Joined
Feb 2009
Posts
11
Newton Raphson
Any help with this would be greatly appreciated... I haven't been using maths since I finished high school but have a maths test to do tomorrow as part of an interview. Here is a sample question,
and I have no i... | 5 | [
-0.10791015625,
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0.0703125,
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0.00732421875,
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-0.0712890625,
-0.0279541015625,
... | 31,780 | 31780 | |
A Hybrid Analytical-Numerical Model Based on the Method of Fundamental Solutions for the Analysis of Sound Scattering by Buried Shell Structures
Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 710623, 22 pages
http://dx.doi.org/10.1155/2011/710623
Research Article
A Hybrid Analytical-Numerical Mod... | 4 | [
-0.00119781494140625,
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-0.02978515625,
0.0169677734375,
... | 31,781 | 31781 | |
A Characterization for Compact Sets in the Space of Fuzzy Star-Shaped Numbers with
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 627314, 6 pages
http://dx.doi.org/10.1155/2013/627314
Research Article
A Characterization for Compact Sets in the Space of Fuzzy Star-Shaped Numbers with Metric
^1School of... | 5 | [
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Determinant of sum of positive definite matrices
up vote 14 down vote favorite
4
Say $A$ and $B$ are symmetric, positive definite matrices.
I've proved that $\det(A+B) \ge \det(A) + \det(B)$ in the case that $A$ and $B$ are two dimensional.
Is this true in general for $n$-dimensional matrices?
Is it even true that ... | 5 | [
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... | 31,783 | 31783 | |
How to prove that the multiplication table of two isomorphic groups are the same
May 6th 2012, 07:43 AM #1
Newbie
Joined
May 2012
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Amsterdam, The Netherlands
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13
How to prove that the multiplication table of two isomorphic groups are the same
Prove:
G[1] en G[2] are isomorphic if and onl... | 5 | [
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0.078613... | 31,784 | 31784 | |
Need take a look at integration culculus
November 18th 2010, 03:57 AM #1
Junior Member
Need take a look at integration culculus
That is not right: $du=-dx/x^2$. Better use the substitution $t=\ln x$ . Then:
$\displaystyle\int_0^e 2^{\ln x}\cdot \dfrac{dx}{x}=\displaystyle\int_0^12^tdt=\ldots$
Could you... | 5 | [
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-0.0225830078125,
0.010864257... | 31,785 | 31785 | |
Inequalities
September 10th 2012, 06:58 AM #1
Member
Joined
Jul 2011
Posts
140
Inequalities
Can anyone help me confirm if I have solved this correctly?
Many thanks.
Q. (1 + 2x)^n > 1 + 2nx, for x > 0 & n $\in \mathbb{N}$
Attempt: Step 1: For n = 1...
(1 + 2x)^1 = 1 + 2x '&' 1 + 2(1)x =... | 5 | [
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0.048339843... | 31,786 | 31786 | |
search results
Expand all Collapse all Results 1 - 21 of 21
1. CJM 2013 (vol 65 pp. 740)
Regularization of Subsolutions in Discrete Weak KAM Theory
We expose different methods of regularizations of subsolutions in the context of discrete weak KAM theory. They allow to prove the existence and the density of $... | 4 | [
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0.00128173828125,
0.022827148437... | 31,787 | 31787 | |
speed, velocity and acceleration
January 24th 2013, 06:31 AM #1
Junior Member
Joined
Sep 2012
From
New York
Posts
54
hey everyone
i recently came across a question which asks for speed and in AB calculus the only thing my teacher taught me was velocity. Can anyone explain to me the difference bet... | 5 | [
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0.117675781... | 31,788 | 31788 | |
Logical Argument #3...To be valid or not to be
May 13th 2011, 08:16 PM #1
Newbie
Joined
May 2011
Posts
13
Logical Argument #3...To be valid or not to be
This will be the last problem for tonight, I don't want to make it appear like I am abusing anyone's help, but I am a step by step learner and this is d... | 4 | [
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MoP Mastery/Block Calculations - Build 15739
MoP Mastery/Block Calculations – Build 15739
Last time, I mused on exactly how Blizzard would implement the mastery scaling on Shield of the Righteous (SotR). This week, build 15739 answered a few of our questions. Divine Bulwark now explicitly
increases the damage reductio... | 4 | [
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0.0913085937... | 31,790 | 31790 | |
Innumeracy Revisited
The New York Times has an interesting article today examining the curious fact that certain types of terrorist organizations have an unusually high ratio of engineers among their members. An
interesting point to study, no doubt, but what caught my eye was this little blunder:
William A. Wulf, ... | 5 | [
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Sba: Controle & Automação Sociedade Brasileira de Automatica
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Compartir
versión impresa ISSN 0103-1759
Sba Controle & Automação v.16 n.1 Campinas ene./mar. 2005
http://dx.doi.org/10.1590/S0103-17592005000100003
... | 4 | [
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0.0172119140625,
-0.0493164... | 31,792 | 31792 | |
linear programming proofs
July 19th 2008, 09:26 PM
squarerootof2
linear programming proofs
i have these two questions that i am having trouble understanding.
1. show that the linear kuhn-tucker theorem implies the complementary slackness conditions.
2. show that if A is a linear transformation and A' i... | 4 | [
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-0.03613281... | 31,793 | 31793 | |
Solar Heat from a Winter's Sun
Solar Heat in December
by
... | 4 | [
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0.0245... | 31,794 | 31794 | |
Every Positive Number Has A Unique Positive Square Root
May 2nd 2008, 04:03 AM #1
Newbie
Joined
May 2008
Posts
1
Every Positive Number Has A Unique Positive Square Root
Hello,
I am currently studying Introduction to Analysis by Maxwell Rosenlicht. On page 28 -29 he gives this proof for Every Positiv... | 4 | [
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-0... | 31,795 | 31795 | |
the encyclopedic entry of Joseph Boussinesq
In fluid dynamics, the Boussinesq approximation for water waves is an approximation valid for weakly non-linear and fairly long waves. The approximation is named after Joseph Boussinesq, who first
derived them in response to the observation by John Scott Russell of the wave o... | 4 | [
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Ingeniare. Revista chilena de ingeniería
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versión On-line ISSN 0718-3305
Ingeniare. Rev. chil. ing. v.18 n.2 Arica ago. 2010
http://dx.doi.org/10.4067/S0718-33052010000200007
Ingeniare. Revista chilena de ingeniería, vol. 18 Nº 2, 2010, pp. 203-214... | 4 | [
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0.029... | 31,797 | 31797 | |
Estimating unknown parameter exercise.
May 14th 2011, 05:14 AM #1
Junior Member
Joined
Jun 2010
From
Skopje
Posts
54
Estimating unknown parameter exercise.
Hi i started solving exercises for estimating parameters and as i started already i stuck my self with this task:
Estimate the unknonw param... | 5 | [
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0.053710... | 31,798 | 31798 | |
Factoring Expression
Factor the Expression Completely: 5(x^2+4)^4 (2x)(x-2)^4 + (x^2+4)^5 (4)(x-2)^3 Thanks
First take out the common factors of: $5(x^2+4)^4 (2x)(x-2)^4 + (x^2+4)^5 (4)(x-2)^3=(x^2+4)^4(x-2)^3(10x(x-2) + 4(x^2+4))$ Expand the last bracket: $(x^2+4)^4(x-2)^3(10x(x-2) + 4(x^2+4))=<br /> (x^
2+4)^4(x-2)^... | 4 | [
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