content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Computational Determination of the Dirac-Theory Adjunctator
Advances in High Energy Physics
Volume 2013 (2013), Article ID 391741, 4 pages
http://dx.doi.org/10.1155/2013/391741
Research Article
Computational Determination of the Dirac-Theory Adjunctator
Institute for Physics and Nuclear Engineering, Atomistilor Stre... | 4 | [
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Intergration of fraction
Intergrate -x/(1-x^2)dx, i tried partial fractions but i didn't get a valid answer, Thanks for any help :)
Yep i've got the answer, -(1/2)ln(1-x^2). Thanks for the suggestion :)
You don't want the negative sign out front... $\int\frac{-x}{1-x^2}\,dx=\frac{1}{2}\int\frac{-2x\,dx}{1-x^2}=\frac{... | 5 | [
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Decide if sequence converges/diverges
June 10th 2009, 03:38 PM
utopiaNow
Decide if sequence converges/diverges
The given sequence is: $a_n = n\left(\sqrt{1 + \frac{1}{n}} - 1\right)$.
I rearranged terms to get $a_n = \sqrt{n^2 + n} - n$. I couldn't tell by inspection if this is convergent or divergent, so I... | 5 | [
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-0.0634765625,... | 26,302 | 26302 | |
Number Theory Question (Mobius Theorem)
March 7th 2011, 02:16 AM #1
Senior Member
Joined
Apr 2009
Posts
306
Number Theory Question (Mobius Theorem)
Hi guys, I just have a few problems with part b) and c), I can do part a) the following is my working but I'm just not sure how to solve b) and c). An... | 4 | [
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0.0145... | 26,303 | 26303 | |
Channel Modelling for Multiprobe Over-the-Air MIMO Testing
International Journal of Antennas and Propagation
Volume 2012 (2012), Article ID 615954, 11 pages
http://dx.doi.org/10.1155/2012/615954
Research Article
Channel Modelling for Multiprobe Over-the-Air MIMO Testing
Elektrobit Corporation, Wireless Business Segm... | 4 | [
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0.0390625,
-... | 26,304 | 26304 | |
Vehicle Yaw Rate Estimation Using a Virtual Sensor
International Journal of Vehicular Technology
Volume 2013 (2013), Article ID 582691, 13 pages
http://dx.doi.org/10.1155/2013/582691
Research Article
Vehicle Yaw Rate Estimation Using a Virtual Sensor
^1Mechanical Engineering Department, İstanbul Technical University... | 4 | [
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function with derivative
October 25th 2010, 09:42 AM #1
Senior Member
Joined
Apr 2006
Posts
290
function with derivative
Right I was given this problem to solve. Some of the questions I can do, others i am stuck with and need a maths guru to help.
So here goes, I am given on a grid the drawing of th... | 4 | [
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BIBO Stabilization of Discrete-Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 916357, 11 pages
http://dx.doi.org/10.1155/2013/916357
Research Article
BIBO Stabilization of Discrete-Time Stochastic Control Systems with Mixed De... | 5 | [
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Quadric surfaces problem please help.
September 15th 2009, 06:51 PM #1
Junior Member
Joined
Oct 2008
Posts
32
Quadric surfaces problem please help.
Here is the problem exactly how it is written on my paper...
Consider the surfaces x^2+2y^2-z^2+3x=1 and 2x^2+4y^2-2z^2-5y=0.
a. What is the name of... | 5 | [
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Applied max and min problem
November 9th 2009, 09:11 PM #1
Newbie
Joined
Oct 2009
Posts
6
Applied max and min problem
Hi, I'm having a bit of trouble getting this one problem started:
Painters are painting the second floor exterior wall of a building that adjoins a busy sidewalk. A corridor 2 m wide... | 5 | [
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Fourier Transforms Help
September 28th 2007, 04:11 AM
atwinix
Fourier Transforms Help
I need help with the following problems:
Question 1:
a) Find the Fourier Transform of
http://i82.photobucket.com/albums/j256/atwinix/Q1.jpg
b) Determine the limit of this transform as http://i82.photobuc... | 5 | [
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the encyclopedic entry of null sequence
The
limit of a sequence
is one of the oldest concepts in
mathematical analysis
. It provides a rigorous definition of the idea of a sequence converging towards a point called the limit.
Intuitively, suppose we have a sequence of points (i.e. an infinite set of points labelle... | 4 | [
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the encyclopedic entry of Gosset lattice
In
mathematics
, the
E[8] lattice
is a special
lattice
in
R^8
. It can be characterized as the unique positive-definite, even,
unimodular lattice
of rank 8. The name derives from the fact that it is the
root lattice
of the
E[8] root system
.
The norm of the E[8] l... | 4 | [
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Algebra
November 17th 2009, 03:42 PM
Zero266
Algebra
if a and b are integers and (a+b* sqrt(11) )> 1 and (a+b* sqrt(11) )* (a-b* sqrt(11) )=1, how do i show that a and b are positive integers? I was able to prove b>0 , but i can't seem to get the a
>0 part, which makes me doubt whether i really showed b>0 .
... | 4 | [
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0.0522460... | 26,313 | 26313 | |
How to convert volts to ohms
How to convert electrical voltage in volts (V) to electric resistance in ohms (Ω).
You can calculate ohms from volts and amps or watts, but you can't convert volts to ohms since volt and ohm units do not measure the same quantity.
Volts to ohms calculation with amps
... | 4 | [
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Basic trigonometric integral question
February 22nd 2013, 05:06 AM #1
Newbie
Joined
Aug 2012
From
London
Posts
22
Basic trigonometric integral question
Just wondering about the validity of this answer obtained via using an identity?
A second opinion would be much appreciated! Thanks.
Re: Basic t... | 5 | [
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Math Help
May 6th 2009, 02:23 PM #1
Newbie
Joined
Apr 2009
Posts
3
The function f(x)= 2(x^2)arctan(x^10) is represented as a power series. What is the lowest term with a nonzero coeddicient.
I cant seem to get the answer for this problem and any help is appreciated. Thanks.
The power series at ... | 5 | [
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Calculating integral
July 21st 2011, 06:45 AM #1
Calculating integral
Hi, I've to calculate:
$\int \sqrt{\tan(x)}dx$
My solution:
$\int \sqrt{\tan(x)}dx=\int \frac{\sqrt{\sin(x)}}{\sqrt{\cos(x)}}dx$
Maybe now the substitution:
Let $\sqrt{\cos(x)}=t$ then $\frac{-\sin(x)dx}{2\sqrt{\cos(x)}}... | 5 | [
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the encyclopedic entry of linear transformation
Direct linear transformation
(
DLT
) is an algorithm which solves a set of variables from a set of similarity relations:
$mathbf\left\{x\right\}_\left\{k\right\} propto mathbf\left\{A\right\} , mathbf\left\{y\right\}_\left\{k\right\}$ for $, k = 1, ldots, N$
wher... | 4 | [
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Estimate Lateral Tire Force Based on Yaw Moment without Using Tire Model
ISRN Mechanical Engineering
Volume 2014 (2014), Article ID 934181, 8 pages
http://dx.doi.org/10.1155/2014/934181
Research Article
Estimate Lateral Tire Force Based on Yaw Moment without Using Tire Model
^1School of Mechanical and Automotive Eng... | 4 | [
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Matroidal Structure of Rough Sets Based on Serial and Transitive Relations
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 429737, 16 pages
http://dx.doi.org/10.1155/2012/429737
Research Article
Matroidal Structure of Rough Sets Based on Serial and Transitive Relations
Laboratory of Granular Computing,... | 4 | [
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Extragradient Method for Solutions of Variational Inequality Problems in Banach Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 832548, 8 pages
http://dx.doi.org/10.1155/2013/832548
Research Article
Extragradient Method for Solutions of Variational Inequality Problems in Banach Spaces
^1Departmen... | 5 | [
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Math Induction
April 14th 2007, 08:02 PM
smoothi963
Math Induction
Use to math induction prove:
F1^2 + F2^2 + … + Fn^2 = FnFn+1
Please help. Im stuck at the inductive step >.<
April 14th 2007, 11:00 PM
CaptainBlack
April 15th 2007, 06:06 AM
Plato
This is fairly standard in discrete mathema... | 4 | [
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Leibnitz Formula.
August 21st 2009, 10:14 AM #1
Member
Joined
Aug 2009
From
Mumbai
Posts
83
Leibnitz Formula.
Okay I'm not sure if this is University level or below, but anyway
Apply the Leibnitz theorem to the function $y=x^{2n}$
and hence prove that,
$1 + (n^2)/1 + ((n^2)(n-1)^2)/(1^... | 5 | [
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Double integrals
February 20th 2010, 09:18 PM #1
Newbie
Joined
Feb 2010
Posts
6
We are learning about double integrals in 15.5. I think i understand the concepts of the chapter, but i really just don't see how to solve this problem. Any help would be greatly appreciated
$x^2+ y^2= a^2$ is, of c... | 4 | [
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Today's calculation of integral #4
March 31st 2008, 05:45 PM #1
Today's calculation of integral #4
No matter what $k$ is. Let $<br /> \alpha=\int_0^1\frac{e^u}{1+u}\,du<br />$ & $<br /> \beta=\int_{k-1}^k\frac{e^{-x}}{x-k-1}\,dx.<br />$ Assume that $<br /> \lambda\cdot \alpha=\beta.<br />$
Compute $\lambda.$
... | 5 | [
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0.015869140625,
-0.03... | 26,325 | 26325 | |
integration please help
October 31st 2008, 06:34 AM #1
Newbie
Joined
Oct 2008
Posts
2
integration please help
hi
ò(between (pi/6) and (-pi/2)) of (e^x sin(2x))
does anyone know how to solve this definite integral? it seems like everytime i do it i get a different answer,
also does anyone kno... | 5 | [
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Just curious
June 15th 2007, 02:45 AM
Janner
Just curious
First of all, I don't know if this is the right sub-forum for this question. I never had the difference between geometry and trigonometry, so keep that in mind before flaming me.
Now my question;
If you know the length of the hypotenusa in a righ... | 4 | [
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0.... | 26,327 | 26327 | |
Math Help
April 9th 2008, 07:36 AM #1
Newbie
Joined
Apr 2008
Posts
2
roll a die
Help! If I roll a die 8 times...I'd like to know the probability of getting an odd number.
a) exactly 3 times.
b) at least 7 times.
c) at most 6 times.
using the formula: nCr (p)^r (1-p)^n-r (I couln't figu... | 4 | [
0.005706787109375,
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... | 26,328 | 26328 | |
Implicit Differentiation
June 18th 2008, 10:35 PM #1
Junior Member
Joined
Sep 2007
Posts
69
Implicit Differentiation
A 11 foot ladder is placed against a vertical wall. The bottom of the ladder slides away from the wall at a constant rate of 2.9 ft/s. How fast is the top of the ladder sliding down the wa... | 4 | [
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0.037109... | 26,329 | 26329 | |
nested summation
September 20th 2008, 09:47 AM #1
Newbie
Joined
Sep 2008
Posts
1
nested summation
Is there any way to calculate this efficiently?
$<br /> \sum_{i=min_N}^{max_N}\left\{<br /> \sum_{j=min_{N-1}}^{i-1}\left\{<br /> ...\left\{<br /> \sum_{q=min_2}^{p-1} 1<br /> ...<br /> \right\}<br /> \r... | 5 | [
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Basic proof of identity in introductory set theory
March 28th 2011, 06:53 AM #1
Newbie
Joined
Mar 2011
Posts
12
Basic proof of identity in introductory set theory
Hi, this is my first post here so please tell me if there is something wrong about it...
I just started to read "Notes on set theory" by ... | 5 | [
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Proof of Differential Equation Identities
October 18th 2009, 11:56 AM
Jiggy
Proof of Differential Equation Identities
Hi guys I'm new here and I thought that maybe you could help me with this problem. I don't quite understand the notation and what the thing is meaning.
Prove the following:
(D-a)(D-b){f... | 5 | [
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0.0439453125,
... | 26,332 | 26332 | |
the encyclopedic entry of moment of momentum
This article is about the moment of inertia of a rotating object. For the moment of inertia dealing with bending of a plane, see second moment of area.
Moment of inertia, also called mass moment of inertia or the angular mass, (SI units kg m^2, British units slug ft^2),... | 4 | [
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... | 26,333 | 26333 | |
A Mollification Regularization Method for a Fractional-Diffusion Inverse Heat Conduction Problem
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 109340, 9 pages
http://dx.doi.org/10.1155/2013/109340
Research Article
A Mollification Regularization Method for a Fractional-Diffusion Inverse Heat Cond... | 5 | [
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Lobachevskii Journal of Mathematics http://ljm.ksu.ru Vol. 16, 2004, 57 – 69
© A. Kuznetsov
Alexander Kuznetsov
ON A PROBLEM OF AVHADIEV
(submitted by F. Avhadiev)
ABSTRACT. In this paper we consider a lower estimate for the ratio I(Ω)of the conformal moment of a simple connected domain Ωin the complex plane to the... | 5 | [
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determine Maclaurin development of order 3 with residual term with o notation e^sinx
February 23rd 2011, 05:50 AM #1
Member
Joined
Jan 2011
Posts
83
determine Maclaurin development of order 3 with residual term with o notation e^sinx
determine Maclaurin development of order 3 with residual term with o no... | 5 | [
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0.017822265... | 26,336 | 26336 | |
Field extension question
November 18th 2009, 03:25 AM #1
Junior Member
Joined
Nov 2009
Posts
25
Field extension question
I'm trying to answer this question:
"Let M:L:K be finite field extensions. When M is not normal over K, give four examples to show that this gives us no information about the norm... | 5 | [
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Euler's formula + Handshake Theorem
Using Euler's formula and the Handshake Theorem, how can I show that this graph is non-planar?
Last edited by Natasha1; May 16th 2006 at 10:25 AM.
The number of vertices is 8 The number of edges is 14 The number of faces is f Then, 8-14+f=2 if planar. Thus, f=8 Which is not true. I... | 4 | [
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South African Journal of Science
Services on Demand
Article
Indicators
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Print version ISSN 0038-2353
S. Afr. j. sci. vol.107 no.9-10 Pretoria 2011
... | 4 | [
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An Energy-Efficient Distributed Algorithm for Virtual Backbone Construction with Cellular Structure in WSN
International Journal of Distributed Sensor Networks
Volume 2012 (2012), Article ID 840983, 7 pages
http://dx.doi.org/10.1155/2012/840983
Research Article
An Energy-Efficient Distributed Algorithm for Virtual Ba... | 4 | [
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0.021972... | 26,340 | 26340 | |
Power and Sample Size for Repeated Measures ANOVA with R
January 20, 2012
By G. Jay Kerns
Background
One of my colleagues is an academic physical therapist (PT), and he's working on a paper to his colleagues related to power, sample size, and navigating the thicket of trouble that surrounds those
two things. We rec... | 5 | [
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A Novel Approach to Sliding Mode Control of Time-Delay Systems
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 678653, 9 pages
http://dx.doi.org/10.1155/2013/678653
Research Article
A Novel Approach to Sliding Mode Control of Time-Delay Systems
^1Space Control and Inertial Technology Research Cen... | 4 | [
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0.0224... | 26,342 | 26342 | |
Integrals and work again
March 11th 2007, 06:08 AM #1
Junior Member
Joined
Nov 2006
Posts
59
Integrals and work again
Water in a cylinder of height 10 ft and radius 4 ft is to be pumped out. Find the work required if
(a) The tank is full of water and the water is to be pumped over the top of the tan... | 5 | [
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0.05... | 26,343 | 26343 | |
The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 931451, 14 pages
http://dx.doi.org/10.1155/2014/931451
Research Article
The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and -C... | 5 | [
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0.0390625... | 26,344 | 26344 | |
Solving a linear system by substitution
:confused: i have to solve this by substitution and then check it and im not sure how? x-2y=4 2x-3y=7
re hi i am not sure of what is substitution but here is my guess of what it means you've got your first equation ax+by=c (general case ) it could be write as ax-c=-by so y=(c-ax... | 4 | [
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-0.0947265625,
0.02575... | 26,345 | 26345 | |
Parametrization
March 8th 2009, 04:41 PM #1
Newbie
Joined
Feb 2009
Posts
5
Parametrization
Let GAMMA be the path with parametrization
gamma(t) = 2 - i + 3e^it
Sketch GAMMA indicating the direction of increasing t and identifying it's inital and final points in cartesian form.
By applying... | 4 | [
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-0.064... | 26,346 | 26346 | |
Inverse Functions
July 1st 2011, 04:09 AM
Blizzardy
Inverse Functions
The function f and g are defined by
f : x -> (2-3x)/(3-x), x > 3,
g : x -> x^2 - 4x + a, a E R (i.e. a is an element of all real no.), x>1
Define in a similiar manner, the inverse function f ' and show that f^2 (x) = x. Hence dete... | 5 | [
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I’ll take my NLS with weights, please…
January 13, 2014
By anspiess
Today I want to advocate weighted nonlinear regression. Why so?
Minimum-variance estimation of the adjustable parameters in linear and non-linear least squares requires that the data be weighted inversely as their variances $w_i \propto \sigma^{-2}$... | 5 | [
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Lamina Workouts
February 25th 2010, 02:37 PM
Selim
Lamina Workouts
Given a lamina of uniform density $\rho$, bounded by $y = \sqrt{x} , y=0 , x=4.$
1. Set up an integral to find m, the mass of the lamina.
2. Find m, the mass of the lamina
3. Set up Integral to find Mx
4. Find Mx
5. Set up in... | 5 | [
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Generalizing Krawtchouk Polynomials Using Hadamard Matrices
ISRN Applied Mathematics
Volume 2014 (2014), Article ID 498135, 8 pages
http://dx.doi.org/10.1155/2014/498135
Research Article
Generalizing Krawtchouk Polynomials Using Hadamard Matrices
^1Department of Computer Science, Mathematics and Physics, Faculty of ... | 4 | [
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0.... | 26,350 | 26350 | |
Strong Laws of Large Numbers for Arrays of Rowwise NA and LNQD Random Variables
Journal of Probability and Statistics
Volume 2011 (2011), Article ID 708087, 10 pages
http://dx.doi.org/10.1155/2011/708087
Research Article
Strong Laws of Large Numbers for Arrays of Rowwise NA and LNQD Random Variables
College of Scien... | 5 | [
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Set help appreciated
July 26th 2010, 06:45 PM #1
Member
Joined
Jul 2008
Posts
212
Here is the question at this link: Yfrog Image : yfrog.com/m9setsp
So here's what I've done so far: I know the A with the little hat on top means everything outside of A ie the universe. Now I know that A u B with the h... | 5 | [
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Homework Help
Posted by Lucia on Tuesday, July 19, 2011 at 5:04pm.
the area of a rectangle is 425 square feet. if the perimeter is 84 feet, find the length and the width of the rectangle
• algebra - Henry, Tuesday, July 19, 2011 at 8:23pm
Eq1: L*W = 425Ft^2.
Eq2: 2L + 2W = 84Ft.
L + W = 42.
L e 4... | 4 | [
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Large applications of linear mixed models
October 18, 2011
By Luis
In a previous post I summarily described our options for (generalized to varying degrees) linear mixed models from a frequentist point of view: nlme, lme4 and ASReml-R^†, followed by a quick example
for a split-plot experiment.
But who is really hap... | 5 | [
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Teen Solves Newton’s 300-Year-Old Riddle - An Indian-born teenager who lives in Germany has solved a mathematical problem posed by Sir Isaac Newton that's baffled mathematicians ever since • /r/worldnews
you are viewing a single comment's thread.
[–]klackity860 points861 points862 points
sorry, this has been archived... | 5 | [
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0.0289306640625,
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0.08154296875,
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-0.00848... | 26,355 | 26355 | |
stop that bus!
July 11th 2008, 01:33 AM
alv
stop that bus!
A bus moves with k travelers, and it can stop in n stations according to every traveler's request. The probability of getting down for every traveler is the same and independent of other
travelers' getting out. The bus stops given that at least one t... | 5 | [
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Equation of a plane
September 9th 2006, 05:45 PM #1
Equation of a plane
I just finished my home work and I have a question
First, I had to find the equation of a plane containing the points (A,0,0), (0,B,0) and (0,0,C)
The Equation I came up with is 2BCx + ACy + ABz = 2ABC
I'm sure I am supposed to... | 4 | [
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Homework Help
Posted by Jess on Wednesday, March 20, 2013 at 9:01pm.
Simplify:
5th roof of (6th root of 10 * sqaure root of 1000)
or:
(10^1/6 * 1000^1/2)^1/5
(^ another way of writing it)
• Math - Reiny, Wednesday, March 20, 2013 at 10:27pm
(10^1/6 * 1000^1/2)^1/5
= (10^(1/6) * 10^(3/2) )^1/5
= ( 1... | 4 | [
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Differentiation
Can someone help me revise how to do these... x^4cos(x^2) tan(x)/1+x^3 - quotient rule sin(exp(1+x^2)) - chain rule?
1) $x^4\cos x^2$ Product Rule: $(x^4\cos x^2)' = (x^4)'\cos x^2 + x^4(\cos x^2)'$ Apply chain rule on $\cos x^2$ $= 4x^3\cos x^2+ x^4 (2x\cos x^2)$ $= 4x^3\cos x^2 + 2x^5\cos x^2$ 2) $\f... | 5 | [
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differential equation for a sphere
December 19th 2012, 09:05 AM #1
Junior Member
Joined
Jun 2012
From
Trinidad and Tobago
Posts
32
differential equation for a sphere
The rate of change of volume of a sphere is proportional to the volume of the sphere. Obtain a differential equation for the radius.
... | 5 | [
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-0.026000976562... | 26,360 | 26360 | |
Why are exact ODEs called exact?
December 24th 2009, 02:29 AM #1
Newbie
Joined
Dec 2009
Posts
13
Why are exact ODEs called exact?
No, it's not the start of a joke!
I'm just wondering why are exact ODEs called exact?
All I can think of so far is that they don't end up with an integration constan... | 4 | [
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Minimum-Norm Fixed Point of Pseudocontractive Mappings
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 926017, 15 pages
http://dx.doi.org/10.1155/2012/926017
Research Article
Minimum-Norm Fixed Point of Pseudocontractive Mappings
^1Department of Mathematics, University of Botswana, Private Bag 00704, Ga... | 5 | [
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... | 26,362 | 26362 | |
Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 138068, 8 pages
http://dx.doi.org/10.1155/2013/138068
Research Article
Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integr... | 5 | [
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... | 26,363 | 26363 | |
Lessons In Electric Circuits -- Volume II
Lessons In Electric Circuits -- Volume II
Chapter 3
REACTANCE AND IMPEDANCE -- INDUCTIVE
Pure resistive AC circuit: resistor voltage and current are in phase.
If we were to plot the current and voltage for a very simple AC circuit consisting of a source and a resistor ... | 5 | [
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Groups of order p^{e}m contains subgroups of order p^r for every integer r<=e.
March 2nd 2011, 03:57 PM
CropDuster
Groups of order p^{e}m contains subgroups of order p^r for every integer r<=e.
Is this problem stated correctly? Doesn't p have to be a prime for this to be true?
http://img832.imageshack.us/i... | 5 | [
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Improper integral
August 6th 2010, 01:08 PM #1
Member
Joined
May 2010
Posts
241
Improper integral
Hi. Well, I've got this problem where the statement exhorts me to determinate the character of some improper integrals, and it begins with this one $\displaystyle\int_{-\infty}^{\infty}xe^{-x^2}
dx$
... | 5 | [
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Gamma distribution
Talk0
872pages on
this wiki
Template:Probability distribution In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions. It has a scale parameter θ and a
shape parameter k. If k is an integer then the distribution represents the ... | 4 | [
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... | 26,367 | 26367 | |
Trig Integration with Absolute Value
September 12th 2008, 10:00 AM
MagicS06
Trig Integration with Absolute Value
Hi, I don't know where to start on this problem:
$\int_0^{\frac{\pi}{2}} |\sin{x} -\cos{x}| \ dx$
Any hints will be appreciated, thanks.
September 12th 2008, 10:03 AM
InfinitePartsInHarmon... | 5 | [
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-0.0130004882... | 26,368 | 26368 | |
Research on Optimal Control for the Vehicle Suspension Based on the Simulated Annealing Algorithm
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 420719, 5 pages
http://dx.doi.org/10.1155/2014/420719
Research Article
Research on Optimal Control for the Vehicle Suspension Based on the Simulated Annealing... | 4 | [
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-Point Boundary Value Problem on Time Scales
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 826504, 12 pages
http://dx.doi.org/10.1155/2012/826504
Research Article
Positive Solutions for Nonlinear First-Order m-Point Boundary Value Problem on Time Scales
Department of Mathematics, Pamukkale University,... | 5 | [
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-0.0277099609375,
-0.068... | 26,370 | 26370 | |
Trig and geometry problems
given y = 5x and y = .5x, When the these lines cross, what is the value of tan theta?
Assuming $\theta$ is the first-quadrant angle between the two lines, suppose that $\alpha$ is the first-quadrant angle between the x-axis and the line y = 0.5. Then, $\tan \alpha = 0.5$, and $\tan (\
alpha ... | 4 | [
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-0.12158203125,
-0.01251220703125... | 26,371 | 26371 | |
inequality (am i correct ?)
December 5th 2010, 10:34 PM #1
Newbie
Joined
Dec 2010
Posts
12
inequality (am i correct ?)
Hi ! I think I am doing the right thing here.
Given:
Solve for the solution set:
| 7x - 1 | - 6 < 2
My solution:
-1 < x < (9/7)
My sleepy instructor says the ... | 4 | [
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-0.... | 26,372 | 26372 | |
probability of rolling a die...
April 16th 2011, 05:16 PM #1
Senior Member
Joined
Aug 2009
Posts
349
probability of rolling a die...
ok this problem is a little different from the others...
what is the probability of either a die roll of a six or flipping a coin once and getting a heads?
ok so ... | 4 | [
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0.0... | 26,373 | 26373 | |
Eigenvector
December 7th 2009, 09:15 AM
Dogod11
Eigenvector
Hello everyone, this is the following:
Given the matrix
$\begin{bmatrix}{a}&{1}\\{0}&{3}\end{bmatrix}$ to determines the values of $a$ such that the vector $(7, 8)$ is an eigenvector of the matrix
I know the value found should be a multipl... | 4 | [
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-0... | 26,374 | 26374 | |
Modular Multiplicative Inverse
October 2nd 2009, 04:27 AM #1
Member
Joined
Apr 2009
Posts
190
Modular Multiplicative Inverse
Hi I do not understand the idea of Modular Multiplicative Inverse at all. I have tried reading up on modular arithmetic for a day, but I still do not understand it.
I had the ... | 5 | [
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0.0317382812... | 26,375 | 26375 | |
Vector Velocity
October 29th 2010, 01:36 AM
preid
Vector Velocity
Hi
Can someone verify these answers are correct (or at least say where I went wrong)? Thanks
$v_{b}$ = velocity of bee in still air (speed = 6.7ms^-1; directon = N25 degrees E)
$v_{b}$ = 6.7cos(90-25)i + 6.7sin(90-25)j = 2.8315i + 6.... | 4 | [
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0.019653... | 26,376 | 26376 | |
Math Help
April 4th 2009, 12:39 PM #1
Newbie
Joined
Dec 2007
Posts
15
Vectors
Hi, does anyone know if there is/what the general formula for the addition of vectors is?
In particular, I'm trying to work out the problem: Two vectors n, what must be the angle between them?
A friend offered the fo... | 4 | [
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-0.01373291015... | 26,377 | 26377 | |
-Contractive Mappings in Ordered Metric Spaces with Applications
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 879084, 7 pages
http://dx.doi.org/10.1155/2013/879084
Research Article
Common Fixed Points for Weak ψ-Contractive Mappings in Ordered Metric Spaces with Applications
^1Department of Mathemati... | 5 | [
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0.0159912109375,
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0.0130615234375,
0.0167236328125,
-0.076... | 26,378 | 26378 | |
New Weighted Norm Inequalities for Pseudodifferential Operators and Their Commutators
International Journal of Analysis
Volume 2013 (2013), Article ID 798528, 12 pages
http://dx.doi.org/10.1155/2013/798528
Research Article
New Weighted Norm Inequalities for Pseudodifferential Operators and Their Commutators
^1Depart... | 5 | [
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0.0026... | 26,379 | 26379 | |
Robust Model Predictive Control of Networked Control Systems under Input Constraints and Packet Dropouts
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 478567, 11 pages
http://dx.doi.org/10.1155/2014/478567
Research Article
Robust Model Predictive Control of Networked Control Systems under Input Constra... | 4 | [
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... | 26,380 | 26380 | |
Linear regression from a contingency table
September 7, 2013
By arthur charpentier
This morning, Benoit sent me an email, about an exercise he found in an econometric textbook, about linear regression. Consider the following dataset,
Here, variable X denotes the income, and Y the expenses. The goal was to fit a lin... | 5 | [
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... | 26,381 | 26381 | |
Integration modelling task.
November 1st 2010, 11:03 PM
MickG86
Integration modelling task.
Hello,
I got this problem here which I can't really solve (Worried)
A Contractor is given the task of calculating the cost of a tunnel through a hill. The shape of the tunnel's cross section is made up of two cur... | 4 | [
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stuck with 4 questions
May 12th 2009, 08:55 AM #1
Newbie
Joined
May 2009
Posts
3
stuck with 4 questions
hi there, im currently stuck on 4 questions at the moment
1. 9x^2 -14x + 1 = 0
PROVE THE FOLLOWING IDENTITIES
1. Sin2θSecθ≡SinθTanθ
2. tan2 A= sin2 A / 1 - sin2 A
3. 2 - tan2 A... | 4 | [
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0.015869140625,
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-0.04516601... | 26,383 | 26383 | |
Polygon Collision
From GPWiki
In order to prevent embarrassing situations where game objects move right through each other without even noticing, a lot of games utilize some kind of collision detection system. Often objects are
approximated as a circle or ball, or a rectangular axis-aligned box to make it easier to d... | 4 | [
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... | 26,384 | 26384 | |
estimation of series sum
September 3rd 2008, 10:41 PM #1
estimation of series sum
I'm having problems with this question
Estimate $\sum_{n=1}^{\infty}n^{-\frac{3}{2}}$ to within .01
I know I can use the integral test with my remainder estimate being .01 but it would take such a large number to find the ... | 5 | [
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0.0308837890625,
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0.07470703125,
-0.050537109375,... | 26,385 | 26385 | |
Comments on Skin Effect in Solitary Solid Tubular Conductor
Advances in Mathematical Physics
Volume 2011 (2011), Article ID 983678, 13 pages
http://dx.doi.org/10.1155/2011/983678
Research Article
Comments on Skin Effect in Solitary Solid Tubular Conductor
Faculty of Electrical Engineering and Communication, Brno Uni... | 5 | [
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0.049072265625,
... | 26,386 | 26386 | |
averages of Euler-phi function and similar
up vote 7 down vote favorite
1
What are the odds two numbers are relatively prime? This is known to be $\frac{6}{\pi^2}$. The proof involves calculating averages of the Euler phi function. \[ \phi(1) + \phi(2) + \dots + \phi(n) \
approx 3 \left(\frac{n}{\pi}\right)^2 + O(n \l... | 5 | [
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0.02294921875,
-0.053955078125,
0.03295... | 26,387 | 26387 | |
Optimizing the Mixing Proportion with Neural Networks Based on Genetic Algorithms for Recycled Aggregate Concrete
Advances in Materials Science and Engineering
Volume 2013 (2013), Article ID 527089, 10 pages
http://dx.doi.org/10.1155/2013/527089
Research Article
Optimizing the Mixing Proportion with Neural Networks B... | 4 | [
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the encyclopedic entry of change of direction
In
linear algebra
, a
basis
for a
vector space
of
dimension n
is a sequence of
n
vectors α
[1]
, ..., α
[n]
with the property that every vector in the space can be expressed uniquely as a
linear combination
of the basis vectors. Since it is often desirable t... | 4 | [
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0.1542... | 26,389 | 26389 | |
linear equations in 2 variables....help please
June 10th 2010, 10:44 AM #1
Newbie
Joined
Jun 2010
Posts
2
linear equations in 2 variables....help please
Translate into a pair of linear equations in two variables.
solve the equations using elimination or substitution
state your answer for specifie... | 4 | [
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Areas of Triangles
May 26th 2010, 02:46 AM #1
Junior Member
Joined
Feb 2009
Posts
63
A parallelogram has two adjacent sides of length 4 cm and 6 cm respectively. If the included angle measures 52 degrees, find the area of the parallelogram.
please show all working out.
if $a$ and $b$ are the len... | 4 | [
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0.04736328125... | 26,391 | 26391 | |
Difference equation
You could start by building your iterations. $y_{n+1}-y_{n}=sin(n)\Rightarrow{y_{1}+y_{0}=sin(0)}\Righta rrow{y_{1}=0}$ $y_{2}-y_{1}=sin(1)\Rightarrow{y_{2}=sin(1)}$ $y_{3}-y_{2}=sin(2)\Rightarrow{y_
{3}-sin(1)=sin(2)}$ $y_{4}-y_{3}=sin(3)\Rightarrow{y_{4}-(sin(2)+sin(1))=sin(3)}$ And so on and so o... | 5 | [
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... | 26,392 | 26392 | |
prove it is a subgroup
October 13th 2008, 06:12 AM #1
Member
Joined
Feb 2008
Posts
125
prove it is a subgroup
Let G be a group and H be a subgroup of G. Define N(H)={x is a member of G|xHx^-1=H} Prove that N(H) (called normalizer of H) is a subgroup of G.
This is a straightforward problem. Just use ... | 5 | [
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Lim sup problem from Halsey Royden, Real Analysis
June 5th 2010, 08:31 AM #1
Junior Member
Joined
Jun 2010
Posts
54
Lim sup problem from Halsey Royden, Real Analysis
This is my first post here, looking forward to discussing math stuff with everyone. No one in my family knows anything about Real Analysis,... | 4 | [
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differentiation applying two rules
June 28th 2011, 05:50 AM #1
Junior Member
Joined
Apr 2011
Posts
60
differentiation applying two rules
Hi I am fine when it comes to straightforward differntiation but when its composite I mean when you have to apply say product rule and then chain rule etc. I really hav... | 5 | [
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bivariate marginal density function
April 7th 2008, 11:08 PM #1
bivariate marginal density function
find the marginal density function for $X$ and $Y$.
$f(x,y) = \left\{ \begin{array}{rcl}<br /> x+y & \mbox{for} & 0 \leq x \leq 1, 0 \leq y \leq 1 \\ <br /> 0 & \mbox{for} & \mbox{other}<br /> \end{array}\righ... | 5 | [
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-0.0030059814453125... | 26,396 | 26396 | |
A New Distance Measure and Ranking Method for Generalized Trapezoidal Fuzzy Numbers
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 623757, 6 pages
http://dx.doi.org/10.1155/2013/623757
Research Article
A New Distance Measure and Ranking Method for Generalized Trapezoidal Fuzzy Numbers
^1Departme... | 4 | [
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abelian normal group
March 23rd 2011, 09:29 AM
abhishekkgp
abelian normal group
Let $G$ be a group of order $3825$. Prove that if $H$ is a normal subgroup of order $17$ in $G$ then $H \leq Z(G)$, where $Z(G)$ represents the center of $G$.
(Please do not use sylow's or cauchy's theorems.)
March 23rd 2011, 12... | 4 | [
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... | 26,398 | 26398 | |
Interest compounded monthly.
October 17th 2010, 04:34 PM
flybynight
Interest compounded monthly.
Hey everyone,
I hope this is in the right section. Anyway, the problem I have is "a $200,000 loan is to be repaid over 20 years in equal monthly installments, beginning at the end of the first month. Find the
... | 4 | [
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