content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A Hybrid Algorithm of Traffic Accident Data Mining on Cause Analysis
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 302627, 8 pages
http://dx.doi.org/10.1155/2013/302627
Research Article
A Hybrid Algorithm of Traffic Accident Data Mining on Cause Analysis
^1State Key Laboratory of Automobile Dyn... | 4 | [
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Series and Exponential Growth
May 2nd 2010, 06:05 PM #1
Newbie
Joined
Sep 2009
Posts
11
Series and Exponential Growth
If you invest $1000 at 5.7% interest compounded quarterly, and you deposit $1000 each year, in how many years will you have a total of $1,000,000?
It's not difficult to set up the pr... | 5 | [
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Alignment III PAM Matrices
Views: 166 | Added: 26-05-2012
From: iden Rate Presentation:
1 0
Description:
Alignment III PAM Matrices. PAM250 scoring matrix. 0. + 3. + ( -3 ). + 1. Scoring Matrices. ... | 4 | [
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Problem involving series
May 9th 2012, 01:15 PM #1
Junior Member
Joined
Feb 2007
Posts
70
Problem involving series
The following problem is in a section on convergence tests for series (comparison, ratio, root, integral, p-series, etc.) I've been stuck on it for about a day, so any help would be much
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Study of Antenna Superstrates Using Metamaterials for Directivity Enhancement Based on Fabry-Perot Resonant Cavity
International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 209741, 10 pages
http://dx.doi.org/10.1155/2013/209741
Research Article
Study of Antenna Superstrates Using Metamaterials ... | 4 | [
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Proposition 21
If from the ends of one of the sides of a triangle two straight lines are constructed meeting within the triangle, then the sum of the straight lines so constructed is less than the sum of the
remaining two sides of the triangle, but the constructed straight lines contain a greater angle than the angle ... | 4 | [
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Projectile Motion #1
September 27th 2009, 11:58 AM
jsu03
Projectile Motion #1
Can someone help me with this problem. Thanks a lot!
Side is going to attempt a field goal by kicking a football from a point 40 yards out from the goal. The ball must clear the crossbar that is 3m off of the ground. Skid kicks the... | 4 | [
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confidence intervals
August 17th 2010, 04:32 AM #1
Junior Member
Joined
Aug 2010
Posts
31
confidence intervals
A random sample of size
n = 21 is taken from a Normal distribution with unknown mean μ
and known variance
= 23.6. The sample mean is 1.3.
(a) Write down the 100(1 − a)% t... | 5 | [
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Description of Dispersive Wave Emission and Supercontinuum Generation in Silicon Waveguides Using Split-Step Fourier and Runge-Kutta Integration Methods
Advances in Mathematical Physics
Volume 2014 (2014), Article ID 180656, 7 pages
http://dx.doi.org/10.1155/2014/180656
Research Article
Description of Dispersive Wave... | 4 | [
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Inverse functions problem
April 20th 2009, 02:21 AM #1
Member
Joined
Nov 2007
Posts
100
Inverse functions problem
I have been given that f(x) = 3x^2 - 4 and x > 0 ... and I have been asked to find the value of f^-1(x) when x > -4 ...
Let y = 3x^2 - 4, then $3x^2 - 4 - y = 0$
Solving this equatio... | 4 | [
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the encyclopedic entry of associative law
In
mathematics
, an
associative algebra
is a
vector space
(or more generally, a
module
) which also allows the multiplication of vectors in a
distributive
and
associative
manner. They are thus special
algebras
.
Definition
An associative algebra
A
over a
fiel... | 4 | [
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-... | 25,610 | 25610 | |
Solving Conic Equations
March 4th 2011, 01:50 PM
masoug
Solving Conic Equations
Hi,
How do we solve systems of conic equations? For example:
$\frac{(x-3)^2}{16}-\frac{(y+9)^2}{64}=1$
and
$\frac{(x-9)^2}{9}+\frac{(y+2)^2}{49}=1$
How do we find the point(s) of intersection?
Thanks!
March ... | 4 | [
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Simultaneous equations
May 4th 2010, 10:41 AM #1
Junior Member
Joined
Feb 2010
Posts
43
Simultaneous equations
Hi,
I have a maths exam tomorrow, so I would be grateful for any help!
So here it is:
Let f(t) = a cos b(t-c) + d (I understand that this refers to the transformation)
when t... | 4 | [
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Investigate the sequence?
January 22nd 2011, 07:10 PM #1
Newbie
Investigate the sequence?
Last edited by CaptainBlack; January 23rd 2011 at 03:40 AM.
To show convergence, show it is bounded and monotonically increasing. I believe you could show $a_n \leq 2$ via induction.
Once you know the limit exists... | 5 | [
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help (acceleration)
September 11th 2008, 04:35 PM #1
Member
Joined
Apr 2008
Posts
171
help (acceleration)
A jumbo jet must reach a speed of 365 km/h on the runway for takeoff. What is the least constant acceleration needed for takeoff from a 2.05 km runway?
use the kinematics equation ...
$v_f^... | 4 | [
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Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 405258, 17 pages
http://dx.doi.org/10.1155/2013/405258
Research Article
Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection
^1Department of Mathematics,... | 5 | [
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the encyclopedic entry of winnard
Computus
(
Latin
for
computation
) is the
calculation
of the
date of Easter
in the
Christian calendar
. The name has been used for this procedure since the early
Middle Ages
, as it was one of the most important computations of the age.
The canonical rule is that Easter d... | 4 | [
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Time-series Forecasting Methods
IPredict Time-series Forecasting Methods
IPredict offers a wide selection of time-series forecasting algorithms, regression forecasting, smoothing and curve or model fitting algorithms. Together with all classical algorithms you will find
proprietary and advanced algorithms with superio... | 4 | [
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Find the probability that Y<= 1?
May 28th 2009, 06:17 PM
Yan
Find the probability that Y<= 1?
Suppose Y is uniform on [0;X + 1], where X is Poisson with mean 3. Find the
probability that Y <= 1.
Can you show all your work? thanks
May 28th 2009, 11:18 PM
Moo
Hello,
Quote:
$\mathbb{P}(Y\l... | 5 | [
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finding the equation of a tangent line
help please and thank you!! y=e^x find the equation of the tangent line at x=0
A tangent line is a straight line, so is of the form $y=mx+c$ where m is the gradient and c is the y-intercept. To find the gradient of this tangent, we need to differentiate the function and
evaluate ... | 4 | [
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Math Help
I need to check if the next infinite series convergent: Sigma (k=2-->inf) 1/{ln(k)}^a (when a real positive number) Thank you.
Is... $\lim_{k \rightarrow \infty} \frac{\ln ^{a} k} {k}= 0$ ... no matter which is $a$, so that... Kind regards $\chi$$\sigma$
Use simple comparsion. For all $a>0~\&~n\ge 3$ $\fra... | 5 | [
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Tuning PID Controller Using Multiobjective Ant Colony Optimization
Applied Computational Intelligence and Soft Computing
Volume 2012 (2012), Article ID 536326, 7 pages
http://dx.doi.org/10.1155/2012/536326
Research Article
Tuning PID Controller Using Multiobjective Ant Colony Optimization
^1Ensi Enim, Monastir, Raba... | 4 | [
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Several New Third-Order and Fourth-Order Iterative Methods for Solving Nonlinear Equations
International Journal of Engineering Mathematics
Volume 2014 (2014), Article ID 828409, 11 pages
http://dx.doi.org/10.1155/2014/828409
Research Article
Several New Third-Order and Fourth-Order Iterative Methods for Solving Nonl... | 5 | [
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by finding inverse of the function, solve the equation
January 17th 2008, 02:13 AM #1
Member
Joined
Nov 2007
Posts
100
by finding inverse of the function, solve the equation
I don't get how can we solve an equation by finding the inverse of that function. What has the inverse of that function got to do w... | 4 | [
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0.0142822265625... | 25,623 | 25623 | |
Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers
Advances in Fuzzy Systems
Volume 2012 (2012), Article ID 459370, 6 pages
http://dx.doi.org/10.1155/2012/459370
Research Article
Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy ... | 5 | [
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The Importance of Hypothesis Testing in Quality Management
In modern manufacturing plants, people still seldom attach importance to hypothesis testing, which they believe is merely a matter of theory. However, the application of hypothesis testing in quality
management should be promoted. Both parametric test (t-test a... | 5 | [
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Probability
March 6th 2011, 08:04 AM #1
Probability
Sorry in advance for the broad title guys, I couldn't find an appropriate term for these two probability questions.
1. Nicole and Ashley each chose a random number between 0 and 1, inclusive. What is the probability that the positive difference of the two n... | 4 | [
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On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert Spaces
International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 691839, 32 pages
http://dx.doi.or... | 4 | [
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Conjugacy of Self-Adjoint Difference Equations of Even Order
Abstract and Applied Analysis
Volume 2011 (2011), Article ID 814962, 16 pages
http://dx.doi.org/10.1155/2011/814962
Research Article
Conjugacy of Self-Adjoint Difference Equations of Even Order
Department of Mathematics, Mendel University in Brno, Zeměděls... | 4 | [
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Need Help with set numbers and functions question! please • /r/learnmath
all 12 comments
[–]nikoma1 point2 points3 points
sorry, this has been archived and can no longer be voted on
(i) [; (0,1) = \{x \in \mathbb{R} | 0 < x < 1\} ;], but [; 0 < 0 < 1 ;] is false, thus [; 0 \notin (0,1) ;]. Other 3 are done similarly... | 5 | [
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Couple of the Variational Iteration Method and Fractional-Order Legendre Functions Method for Fractional Differential Equations
The Scientific World Journal
Volume 2014 (2014), Article ID 928765, 9 pages
http://dx.doi.org/10.1155/2014/928765
Research Article
Couple of the Variational Iteration Method and Fractional-O... | 5 | [
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the encyclopedic entry of Friedmann model
Alternatives to general relativity
are
physical theories
that attempt to describe the phenomena of
gravitation
in competition to Einstein's theory of
general relativity
.
There have been many different attempts at constructing an ideal theory of gravity. These attempts ... | 4 | [
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Blackwell's Approachability Theorem
As promised, I'll now actually describe the theorem whose author was the subject of the previous post.
A two-player zero-sum game is defined simply by a (real-valued) utility function on a joint action space, say U(x,y). That is, when Player 1 (aka The Player) plays action $x$, and ... | 4 | [
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complex numbers
June 11th 2008, 06:03 PM
ArTiCK
complex numbers
Hi all,
I am having trouble getting the answer to:
[(1-sqrt(3)i)/ (sqrt(3) + i)]^7
where i = complex number
Thanks in advance,
ArTiCk
June 11th 2008, 06:28 PM
mr fantastic
June 11th 2008, 06:38 PM
ArTiCK
I have already... | 5 | [
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Probability Question regarding determining the constant in the pdf
December 13th 2009, 06:16 PM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
Probability Question regarding determining the constant in the pdf
Question : A random variable X has a pdf
f(x) = $\begin{cases}<br /> Ax , & \mbox{... | 5 | [
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0.07470703125,
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-0.01953125,
0.010986328125,
-0.143554687... | 25,634 | 25634 | |
Combined Sales Effort and Inventory Control under Demand Uncertainty
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 984513, 8 pages
http://dx.doi.org/10.1155/2013/984513
Research Article
Combined Sales Effort and Inventory Control under Demand Uncertainty
^1School of Management and Engineerin... | 4 | [
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0.030029296875... | 25,635 | 25635 | |
On the Stability of Wave Equation
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 910565, 6 pages
http://dx.doi.org/10.1155/2013/910565
Research Article
On the Stability of Wave Equation
Mathematics Section, College of Science and Technology, Hongik University, Sejong 339-701, Republic of Korea
Receive... | 5 | [
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A Spherically Symmetric Model for the Tumor Growth
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 726837, 7 pages
http://dx.doi.org/10.1155/2014/726837
Research Article
A Spherically Symmetric Model for the Tumor Growth
Department of Mathematics and Statistics, King Fahd University of Petroleum & Mine... | 5 | [
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The Representations and Continuity of the Metric Projections on Two Classes of Half-Spaces in Banach Spaces
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 908676, 5 pages
http://dx.doi.org/10.1155/2014/908676
Research Article
The Representations and Continuity of the Metric Projections on Two Classes of... | 5 | [
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Variation of Wilson's Theorem
June 22nd 2010, 11:13 AM
RonyPony
Variation of Wilson's Theorem
I am having troubles with this problem, I tried using a proof similar to that of Wilson's theorem but I can't get it to work! Any help would be greatly appreciated.
Show that if p is prime and $2 \leq k < p$ then $... | 4 | [
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-0.0137329101562... | 25,639 | 25639 | |
Investment, interest and profit
January 8th 2010, 11:34 AM #1
Investment, interest and profit
The formula $A=P(1+\frac{R}{100})^{n}$
If I want to reverse this to have minus profit (depreciates) and minus income do I do $A=P(1+\frac{-r}{100})^{n}$???
You can but you can still use the first formula. It j... | 4 | [
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-... | 25,640 | 25640 | |
Boolean Ring
October 17th 2009, 03:24 PM #1
Member
Joined
Oct 2008
Posts
83
Boolean Ring
For the case a^2 = a (a belongs to R), I already showed that a+a = 0 for all a in R
What can you say a ring in which for all a in R, a^3 = a and more generally, for all a in R, a^n = a where n >= 4?
well, i... | 4 | [
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0.06689... | 25,641 | 25641 | |
Differentiation Problem!
June 6th 2009, 07:19 AM #1
Newbie
Joined
May 2009
Posts
18
Differentiation Problem!
The variables u and v take positive values such that 1/u + 1/v = 1/20. If s = u + v, find the least value of s as u varies. Thanks
I don't really see how this is a differentiation problem.
... | 4 | [
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0.009765625,
... | 25,642 | 25642 | |
Integration with trig functions
September 3rd 2007, 08:55 AM #1
Junior Member
Joined
Sep 2007
Posts
51
Integration with trig functions
1) Integral of the inverse of sinx from 0 to 1/2
2) Integral of (sinx)^3 * (cosx)^2
1) Is there an identity I should be looking for when dealing with inverse sin... | 5 | [
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0.06298... | 25,643 | 25643 | |
Solving a cubic equation.
Can anyone help me solve this? Thank you so so much! 16x^3 -48x^2 -9x + 27=0
Last edited by mr fantastic; July 6th 2010 at 03:35 PM.
By guessing one root... My "guess" is x=3, now you should know how to continue. Read here please: Rational Zeros of Polynomials
This cubic can be factored by ... | 4 | [
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0.012451171875,... | 25,644 | 25644 | |
The root of polynomial
April 24th 2013, 05:50 PM #16
Re: The root of polynomial
In one circle there will be five roots, all evenly spaced around a circle, so having the same magnitude and separated by the same angle $\displaystyle \frac{2\pi}{5}$
\displaystyle \begin{align*} z^5 &= i \\ z^5 &= e^{\frac{\pi}{... | 5 | [
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-0.0216064453125,
-0.126953125,
-0... | 25,645 | 25645 | |
A Novel Extension Decision-Making Method for Selecting Solar Power Systems
International Journal of Photoenergy
Volume 2013 (2013), Article ID 108981, 6 pages
http://dx.doi.org/10.1155/2013/108981
Research Article
A Novel Extension Decision-Making Method for Selecting Solar Power Systems
Department of Electrical Eng... | 4 | [
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0.012268066406... | 25,646 | 25646 | |
Proving (X,p) is a metric space
November 13th 2013, 08:50 AM #1
Junior Member
Joined
Apr 2013
From
Canada
Posts
42
Thanks
2
Proving (X,p) is a metric space
If (X,d) is a metric space (not defined), prove that (X,p) is a metric space defined by p(x,y) = d(x,y)/(1+d(x,y)).
I'm having trouble p... | 4 | [
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... | 25,647 | 25647 | |
atch files
Math in NT batch files
Introduction
Basic integer math functions using SET /A were first introduced in Windows NT 4.
With SET /A we can:
Add: SET /A Result = 12 + 4
Subtract: SET /A Result = 23 - 7
Multiply: SET /A Result = 8 * 2
Integer divide: SET /A Re... | 4 | [
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0.042236328125,
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0.0478515625,
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0.00518798828125,
-0.07958984375,
0.02636... | 25,648 | 25648 | |
interpolation
November 13th 2008, 04:55 AM #1
Newbie
Joined
Nov 2008
Posts
1
interpolation
f is in C[a,b] , a <= x_0 <= x_1 <= b ; and A is the operator that turns f into
interpolating polynomial of f with degree 1 at the interpolation points x_0 and x_1 ;
i.e.
Af(x) = {(f(x_1)-f(x_0)) / (x_... | 4 | [
-0.11962890625,
0.04638671875,
0.009765625,
-0.0439453125,
-0.05224609375,
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0.0625,
0.012451171875,
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0.0004558563232421875,
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0.10009765625,
-0.025146484375,
0.03271484375,
0.091796875,
-0.06591796875,
-0.030517578125,
... | 25,649 | 25649 | |
Bi-Objective Optimization Method and Application of Mechanism Design Based on Pigs' Payoff Game Behavior
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 808161, 15 pages
http://dx.doi.org/10.1155/2012/808161
Research Article
Bi-Objective Optimization Method and Application of Mechanism Design Base... | 5 | [
0.0498046875,
0.07470703125,
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0.125,
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0.052978515625,
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0.038330078125,
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0.03173828125,
... | 25,650 | 25650 | |
Generating a non-homogeneous Poisson process
December 21, 2012
By Freakonometrics
Consider a Poisson process $(N_t)_{t\geq 0}$, with non-homogeneous intensity $\lambda(t)$. Here, we consider a deterministic function, not a stochastic intensity. Define the cumulated intensity
$\Lambda(t)=\int_0^t\lambda(s)ds$
in th... | 5 | [
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0.072265625,
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0.04638671875,
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0.005889892578125,
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0.059326171875,
0.024169921875,
0.04638671875,
-0.10595703125,
0.04223632... | 25,651 | 25651 | |
Cute trigo problem.
A quick rundown...As typical with me this is a rather "brute force" approach. I'll leave the details to the reader. First put the equation into sines and cosines. Then solve for sin(x): $sin(x) =
t~cos(x) - 1$ Hold on to this equation. Now square both sides and use $cos^2(x) = 1 - sin^2(x)$ to put t... | 4 | [
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0.0771484375,
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0.0123291015625,
0.07861328125,
0.01397705078125,
-0.052490234375,
-0.0206298828125,
-0.0... | 25,652 | 25652 | |
99 questions/70B to 73
From HaskellWiki
These are Haskell translations of Ninety-Nine Prolog Problems.
1 Multiway Trees
A multiway tree is composed of a root element and a (possibly empty) set of successors which are multiway trees themselves. A multiway tree is never empty. The set of successor trees is sometimes... | 5 | [
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0.037353515625,
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0.12255859375,
-0.103515625,
0.02490234375... | 25,653 | 25653 | |
Separable Differential Equation Problem I'm having
March 21st 2010, 04:59 PM #1
Super Member
Joined
Nov 2008
Posts
597
Separable Differential Equation Problem I'm having
Question:
Solve the separable differential equation Subject to the initial condition:
(My work is attached)
Any help woul... | 5 | [
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0.004913330078125,
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0.042724609375,
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0.004364013671875,
-0.05810546875,
-0.0... | 25,654 | 25654 | |
Principal components analysis
October 5th 2012, 04:59 PM #1
Newbie
Joined
Jul 2010
Posts
2
Principal components analysis
For the covariance matrix S it is known that all its p $\times$p elements are greater than zero 0. Prove that:
a) Coefficients of the first principal component are all of the same ... | 4 | [
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0.00193023681640625,
0.039794921875,
... | 25,655 | 25655 | |
Homeomorphism type of union of two balls intersecting in a ball.
up vote 13 down vote favorite
1
Let $d$ be an integer. Let $A,B \subseteq \mathbb R^d$ be two sets homeomorphic to an open $d$-ball such that their intersection is again homeomorphic to an open $d$-ball. Does it follow that
their union is homeomo... | 5 | [
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the encyclopedic entry of Inverse cosine transform
A discrete cosine transform (DCT) expresses a sequence of finitely many data points in terms of a sum of cosine functions oscillating at different frequencies. DCTs are important to numerous
applications in science and engineering, from lossy compression of audio and i... | 4 | [
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Programming for Stochastic Recursive Optimal Control Problems and Applications
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 285241, 12 pages
http://dx.doi.org/10.1155/2013/285241
Research Article
Relationship between Maximum Principle and Dynamic Programming for Stochastic Recursive Optimal Con... | 4 | [
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Continuous-Time Mean-Variance Portfolio Selection under the CEV Process
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 363046, 14 pages
http://dx.doi.org/10.1155/2014/363046
Research Article
Continuous-Time Mean-Variance Portfolio Selection under the CEV Process
School of Economics, Southwest Universit... | 5 | [
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Binomial Expansion?
January 15th 2009, 01:51 PM #1
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Posts
2
Binomial Expansion?
Hi, I am having trouble with the following queston:
The constant in the expansions of (Equation 1) and (2) are equal, and k and p both greater than zero. Express k in terms of p.
Equation 1
... | 4 | [
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On the Set of the Numbers of Conjugates of Noncyclic Proper Subgroups of Finite Groups
The Scientific World Journal
Volume 2013 (2013), Article ID 430870, 3 pages
http://dx.doi.org/10.1155/2013/430870
Research Article
On the Set of the Numbers of Conjugates of Noncyclic Proper Subgroups of Finite Groups
^1School of ... | 5 | [
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Modeling Quantum Well Lasers
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 736529, 11 pages
http://dx.doi.org/10.1155/2012/736529
Research Article
Modeling Quantum Well Lasers
Academic Center for Optical Engineering and Photonics, Faculty of Applied Sciences, University “Politehnica” of Buchare... | 4 | [
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I am trying to find out two unknown values from one equation
May 21st 2008, 08:10 PM #1
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Joined
May 2008
Posts
3
I am trying to find out two unknown values from one equation
Does anyone know how to find two unknown values in the one equation it is for a year twelve maths b assignment. I am trying t... | 4 | [
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Geometric sums and series.
March 19th 2009, 11:32 AM #1
Member
Joined
Nov 2008
Posts
184
64 players enter a tennis tournament. When a player loses a match the player drops out, the winners go onto the next round.
Find as many different methods as you can to determine the number of matches played.
... | 5 | [
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An Algebraic Criterion of Zero Solutions of Some Dynamic Systems
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 956359, 13 pages
http://dx.doi.org/10.1155/2012/956359
Research Article
An Algebraic Criterion of Zero Solutions of Some Dynamic Systems
^1Department of Mathematics, Harbin Institute of Techn... | 5 | [
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Totally Disconnected Problem
November 6th 2013, 05:45 PM #1
Totally Disconnected Problem
I have a problem that is probably relatively easy, I'm just a little lost since I've just started our chapter on connectedness. Here's the problem:
If $(X,\Omega)$ is a totally disconnected, compact space, prove that $(X... | 4 | [
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... | 25,666 | 25666 | |
anyone know how to solve this differentiation？
August 15th 2012, 06:18 PM #1
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Aug 2012
From
malaysia
Posts
5
anyone know how to solve this differentiation？
One of this project is to design GSP project. You are given a task involving graph polynomials. f (x) = 〖2x〗 ^ 6 + 〖3x〗〖3x ^ 5 + ^ 3... | 5 | [
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... | 25,667 | 25667 | |
Pythagorean Triples II
Find all the Pythagorean triples that form an arithmetic sequence.
Hello, MATNTRNG! Quote: Find all the Pythagorean triples that form an arithmetic sequence. Assume that Pythagorean triples consist of positive integers. We have: . $(a,\:a+d,\:a+2d)$ Hence: . $a^2 +
(a+d)^2 \:=\:(a+2d)^2$ . . $a^... | 4 | [
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0.031... | 25,668 | 25668 | |
Irrational Equations
October 4th 2008, 04:18 PM #1
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Joined
Sep 2008
Posts
20
Irrational Equations
Hi
I'm supposed to prove that all the solutions to X^2 = X + 1 are irrational.
I'm not sure exactly where to begin. I know by contradiction I would make it rational and replace x with A/B. Th... | 4 | [
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Find the limit of the sequence
March 11th 2013, 07:27 AM #1
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From
Ireland
Posts
583
Thanks
155
Find the limit of the sequence
A sequence is defined by a[1]=2, a[n+1]=(2a[n]+1)^1/2
I have proven by induction that a[n] is bounded above by 1+(2)^1/2, and that a[n] i... | 4 | [
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find a subgroup H
January 30th 2009, 04:49 PM #1
Member
Joined
Oct 2008
Posts
83
find a subgroup H
Find a subgroup H of sigma_8 ( permutation of {1,2,.......,8} ) such that
H =~ Q_8 ( H is isomorphic to the quanternion group of 8)
This is what I do:
Draw the table of Q_8, and find the eleme... | 4 | [
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Math Help
how to find derivative for: y = x^e * e^x
l used the product rule and got the same answer as you, but the answer is suppose to be $e^xx^{e-1}(x+e)<br />$ is there a way to get this
Last edited by algebra2; March 19th 2009 at 03:20 PM.
e^(i*pi) gave you $e^x(ex^{e-1} + x^e)$. Now factor out an additional $... | 4 | [
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A Nonaxisymmetric Solution of Einsteinβs Equations Featuring Pure Radiation from a Rotating Source
ISRN Astronomy and Astrophysics
VolumeΒ 2012Β (2012), Article IDΒ 178561, 6 pages
http://dx.doi.org/10.5402/2012/178561
Research Article
A Nonaxisymmetric Solution of Einsteinβ s Equations Featuring Pure Radiation fr... | 4 | [
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volume of a cube using space diagonals
September 9th 2010, 06:58 PM #1
Junior Member
Joined
Sep 2009
Posts
32
volume of a cube using space diagonals
so i believe the volume of a cube using space diagonals is
V = d^3 / 3sqrt(3) where d is the space diagonal
can anyone help me prove this? the que... | 4 | [
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Minimizing values word problem- my head is spinning!
November 4th 2010, 08:05 PM #1
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Posts
12
A fuel tank is being designed to contain 200 m^3 of gasoline; however, the maximum length tank that can be safely transported to clients is 16 m long. The design of the tank calls for a
... | 5 | [
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Carpeting
How Figure the Linear Feet of Carpeting Needed
Carpet rolls are usually 12 feet or 15 feet wide and carpeting is often sold by the linear foot. For example, if you purchase linear 20 feet from a roll that is 12 feet wide, you will have 240 square
feet of carpet. Likewise, if you buy 450 square feet of carpe... | 4 | [
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Matched Precipitation Rates
Hunter Technical Support Document
Matched Precipitation Rates
Precipitation rate is the speed at which water is being applied to a specific area. If you have excessively wet or dry areas, you can change the nozzle in the sprinkler to increase or decrease the
precipitation rate. For dry are... | 4 | [
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the encyclopedic entry of toric
In
mathematics
and
theoretical physics
,
toric geometry
is a set of methods in
algebraic geometry
in which certain
complex manifolds
are visualized as
fiber bundles
with multi-dimensional
tori
as fibers.
For example, the complex projective plane CP^2 may be represented by ... | 4 | [
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Solid Dynamic Models for Analysis of Stress and Strain in Human Hearts
Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 634534, 6 pages
http://dx.doi.org/10.1155/2012/634534
Research Article
Solid Dynamic Models for Analysis of Stress and Strain in Human Hearts
^1College of Computer ... | 4 | [
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m
Push-Relabel Approach to the Maximum Flow Problem
Introduction
This article presents a new approach for computing maximum flow in a graph. Previous articles had concentrated on finding maximum flow by finding augmenting paths. Ford-Fulkerson and Edmonds-Karp
algorithms belong to that class. The approach presented ... | 4 | [
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A Note on Stability of an Operator Linear Equation of the Second Order
Abstract and Applied Analysis
Volume 2011 (2011), Article ID 602713, 15 pages
http://dx.doi.org/10.1155/2011/602713
Research Article
A Note on Stability of an Operator Linear Equation of the Second Order
^1Department of Mathematics, Pedagogical U... | 5 | [
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Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources
Advances in Mathematical Physics
VolumeΒ 2010Β (2010), Article IDΒ 293245, 14 pages
http://dx.doi.org/10.1155/2010/293245
Research Article
Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources
... | 5 | [
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Volume Word Problem (geometry-type problem for physics)
January 9th 2009, 05:30 PM
deeskato
Volume Word Problem (geometry-type problem for physics)
We're doing reviews of what we learned in chemistry in physics at the moment. (We just began our new semester so we changed our classes.) This was group work and my ... | 4 | [
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Student need math help
January 8th 2009, 08:17 AM #1
Newbie
Joined
Dec 2008
From
Buffalo
Posts
7
Student need math help
Envision that you have served as business manager of Media World for over 2 years. You have noticed that for the last 12 months the business has regularly had cash assets o... | 4 | [
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A Bayesian Analysis of Spectral ARMA Model
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 565894, 15 pages
http://dx.doi.org/10.1155/2012/565894
Research Article
A Bayesian Analysis of Spectral ARMA Model
^1DEST, FCT, Unesp, Presidente Prudente 19060-900, SP, Brazil
^2DECOM, FEEC, Unicamp, Campi... | 4 | [
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Business Math Question
Posted by Will on Thursday, November 8, 2012 at 4:04pm.
You borrow $2,600 and repay the loan in 12 monthly installments of $232.
What was the finance charge per $100 of the amount financed?
• Business Math Question - Reiny, Thursday, November 8, 2012 at 5:59pm
let the monthly interest r... | 5 | [
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Euler's Phi Function and Chinese Remainder Theorem
June 2nd 2008, 04:37 PM #1
Junior Member
Joined
Jun 2008
Posts
39
Euler's Phi Function and Chinese Remainder Theorem
I'm having difficultly understanding why φ(m) is usually divisible by 4. And then is there a systematic approach to finding φ(m) not divi... | 5 | [
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August 2004 Help
June 15th 2007, 01:11 PM #31
In $\triangle OSE$, we have $\angle \frac {E}{2} \simeq \angle ESO = \frac {180 - 40}{2} = 20^{ \circ}$. Since $\angle EOS = m \widehat {SE} = 140$ and $\triangle OSE$ is isoseles.
So $\angle E = 40^{ \circ}$
Since $\triangle ESA$ is isoseles, $\angle S = \an... | 4 | [
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Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 723453, 8 pages
http://dx.doi.org/10.1155/2013/723453
Research Article
Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Condition... | 5 | [
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Math Help
May 30th 2009, 06:53 PM #1
dice game
Players A and B roll a pair of dice in turn, with player A rolling first. A's objective is to obtain a sum of 6 (on one roll), while B's ojective is to obtain a sum of 7. The winner is the first
player to reach his or her objective. What's the probability that p... | 5 | [
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Triangle equations and another shapes
November 27th 2007, 04:19 PM #1
Junior Member
Joined
Sep 2007
From
Oregon, West Coast ^_^
Posts
50
If someone could answer this problems and show how you got the answer please. Ok I'm bad at equation with x^2 in them:
(This problem goes to the triangle)
So... | 4 | [
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calculating a residue
June 25th 2011, 06:05 PM #1
calculating a residue
I want to calculate the residue of $f(z) = \frac{z}{(1+z^{2}) \sinh \pi z}$ at $z = i$.
$z = i$ is a pole of order 2 since $\sinh( \pi i) = 0$
So the standard approach is $Res[f,i] = \lim_{z \to i} \frac{d}{dz} (z-i)^{2} \frac{z}{(1... | 5 | [
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Math Help
August 24th 2009, 03:59 PM #1
Newbie
Joined
May 2009
Posts
23
induction
The questions asks ...
Suppose that $R > 0$, $x_{0}>0$, and
$x_{n+1}= \frac{1}{2}(\frac{R}{x_{n}}+x_{n})$, $n\geq0$
Prove: For $n\geq1$, $x_{n}>x_{n+1}>\sqrt{R}$ and
$x_{n}-\sqrt{R}\leq\frac{1}{2^n}\frac{... | 4 | [
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[Haskell-cafe] 1d-rubik
Arie Groeneveld bradypus at xs4all.nl
Thu Jun 21 04:38:34 EDT 2007
Hi all,
I read this on the J -programming forum
http://www.jsoftware.com/pipermail/programming/2007-June/007004.html
Maybe of interest, especially the part of generating the subgroup or
composing a more intelligent solver.
q... | 4 | [
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Math Help
October 22nd 2007, 08:59 AM #1
Junior Member
Joined
Oct 2007
Posts
69
Freefall
Last physics problem for the day I promise
A stone falls from rest from the top of a cliff. A second stone is thrown downward from the same height 3.1s later with an initial speed of 60.76m/s. They hit the grou... | 4 | [
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Cluster Synchronization of Impulsive Complex Networks with Stochastic Perturbations and Time-Varying Delays
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 678543, 10 pages
http://dx.doi.org/10.1155/2013/678543
Research Article
Cluster Synchronization of Impulsive Complex Networks with Stochastic Pertur... | 4 | [
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Probability problem: random selection of shoes
September 28th 2010, 06:26 AM
Runty
Probability problem: random selection of shoes
I'm sure a lot of people have seen questions like this one. I've gotten half of it done, but I could use a hand with the other half.
A large box contains 10 pairs of shoes. If 6 ... | 4 | [
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Please help word problems!!
March 22nd 2006, 06:44 PM #1
Please help word problems!!
hey i have 2 problems that i need help with... work rate word problems...
Dan can carpet his house in 9 hours. Mike can carpet the same house in 13 hours. How long would it take them to lay the carpet if they worked together... | 4 | [
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Exercise with homeomorphism, open and closed: topology
June 27th 2011, 07:18 PM #1
Newbie
Joined
Jun 2011
Posts
4
Exercise with homeomorphism, open and closed: topology
Hello,
I solved the following exercise (but i am not sure for the solution).
Can you give me a hand?Thank you.
Given the sq... | 5 | [
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