content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Linear Algerba in Calculus
January 20th 2010, 05:32 PM
matt.qmar
Linear Algerba in Calculus
Hello!
We got an assignment in a Calculus class that appears to me to be very linear algebra-ish... I can do some of it by intution but I have two questions,
(Q1)
To show the
line (L1):
containing t... | 5 | [
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HELP...Polynomial Rings Problem...
May 28th 2008, 08:52 PM #1
HELP...Polynomial Rings Problem...
I am reviewing some problems from polynomial rings and hope that someone can tell me if I am on the right track..
PROBLEM: Let $f(x) \in R[x]$. If $f(a) = 0, f'(a)=0$show that $(x-a)^{2}$ divides $f(x)$.
Wh... | 5 | [
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Sigma Notation from given set of numbers
November 12th 2008, 07:17 AM
BCHurricane89
Sigma Notation from given set of numbers
How would I go about finding sigma notation for any given set of numbers? I really struggle at finding this. Like is there an easy way to write sigma notation just from looking at a set of... | 4 | [
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0.0305... | 25,002 | 25002 | |
A 3D Visualization Method for Bladder Filling Examination Based on EIT
Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 528096, 9 pages
http://dx.doi.org/10.1155/2012/528096
Research Article
A 3D Visualization Method for Bladder Filling Examination Based on EIT
State Key Laboratory o... | 4 | [
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[SOLVED] Equation involving arctan
January 25th 2008, 05:52 AM #1
[SOLVED] Equation involving arctan
Show that $\forall x \in R$, that
$arctan(x+1) - arctanx = arctan\frac{1}{x^2 + x + 1}$
tan is a continuous function, so (can anyone tell me why that is important when doing these kinda proofs?)
$ta... | 5 | [
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DC3 Pairs and the Set of Discontinuities in Distribution Functions
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 673578, 7 pages
http://dx.doi.org/10.1155/2013/673578
Research Article
DC3 Pairs and the Set of Discontinuities in Distribution Functions
^1Department of Mathematics, Dalian Natio... | 5 | [
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Numerical Solutions of a Class of Nonlinear Volterra Integral Equations
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 652631, 8 pages
http://dx.doi.org/10.1155/2014/652631
Research Article
Numerical Solutions of a Class of Nonlinear Volterra Integral Equations
Department of Pure and Applied Mathematic... | 5 | [
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values of a polynomial
August 12th 2010, 01:17 AM
Sam1992
values of a polynomial
I have a polynomial with only natural numbers as coefficients. Now I search for all such polynomials with the following additional property:
When I plug every natural number in it there is an infinite set of natural numbers not... | 5 | [
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NPV of a Building
February 14th 2010, 05:55 PM #1
Newbie
Joined
Feb 2010
Posts
6
NPV of a Building
It costs $800,000, it will produce an inflow after operating costs of $170,000 a year for 10 years. Opportunity costs of capital is 14%..Whats the NPV of factory, and what will the building be
worth aft... | 5 | [
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A diagonal basis.
November 2nd 2008, 11:35 AM #1
Member
Joined
Oct 2008
Posts
77
Thanks
1
A diagonal basis.
I have the Transformation T s.t:
$T(-2, 2, -1)=(-1, -1,-3)$$T(0, 2 ,2)=(4, -2, 2)$ and $T(0, 1,-1) = (0,1, -1)$
Find a basis B of R3 such that M_B(T), the B-matrix of T, is diagonal.... | 5 | [
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point on tangent
August 6th 2009, 04:08 PM
skeske1234
point on tangent
Show that the tangent to the curve y=(x^2+x-2)^3+3 at the point (1,3) is also the tangent to the curve at another point.
This is what I did so far...
I found the derivative of the curve and I got:
y'=6x^5+15x^4-16x^3-36x^2+16x+12... | 4 | [
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Parallelism determines the connection
Parallelism determines the connection November 2, 2009
Posted by Akhil Mathew in differential geometry, MaBloWriMo.
Tags: connections, covariant derivatives, MaBloWriMo, parallelism
trackback
I’m going to try participating in Charles Siegel’s MaBloWriMo project of writing a short... | 4 | [
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Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 482584, 18 pages
http://dx.doi.org/10.1155/2012/482584
Research Article
Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
... | 5 | [
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vector analysis problem
Hello, I need help here for my hw. Help will be appreciated! Show that $\vec{v}\cdotabla\vec{v}=\frac{1}{2}abla(\vec{v }\cdot\vec{v})-(\vec{v}\times(abla\times\vec{v}))$
Try using the identity: ${{abla}} <br /> (\vec A\cdot \vec B)<br /> =<br /> (\vec A\cdot {{abla}})\vec B +<br /> (\vec B\cdot... | 4 | [
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Parallel Axis Thereom to find angular velocity
Hi,
The torque equation you wrote should be: -mgd*sin[itex]\theta[/itex]=Id^2[itex]\theta[/itex]/dt^2
(you forgot the 'd' on the left-side.)
For small angles, sin[itex]\theta[/itex][itex]\approx[/itex][itex]\theta[/itex]
The torque equation can then be rewritten as:
-(... | 5 | [
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partial fractions
June 2nd 2010, 08:41 AM #1
Junior Member
Joined
Mar 2010
Posts
35
partial fractions
how do I get the answer shown in the attached problem? when I tried it out, I couldn't get the numerator to 1.
Thanks!
First, factor your denominator.
remember that:
$a^2 - b^2 = (a+b... | 4 | [
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Example 8.14: generating standardized regression coefficients
November 15, 2010
By Nick Horton
Standardized (or beta) coefficients
from a linear regression model are the parameter estimates obtained when the predictors and outcomes have been standardized to have variance = 1. Alternatively, the regression model can ... | 5 | [
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[SOLVED] Jointly distribution
April 20th 2009, 06:13 AM #1
Member
Joined
Oct 2008
Posts
206
[SOLVED] Jointly distribution
Since $F(a,b)=P[X\leq a, Y\leq b]$
$P[X>a, Y>b]= 1-P[(X > a, Y > b)^c]$
$=1-[P(X\leq a) + P(Y \leq b) - P(X \leq a, Y \leq b)]$
$=1-F_X(a)- F_Y(b) + F(a,b)$
What abo... | 4 | [
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continuous bounded functions
March 22nd 2010, 02:17 AM #1
Member
Joined
Feb 2008
Posts
184
continuous bounded functions
Let f:[a,b]---->R be Riemann integrable. Define F:[a,b]---->R
by
F(x)= $\int_a^x f(t) dt$
iii) Prove that there exists c in[a,b] such that F(c)=sup{F(x): x in [a,b]}
By... | 5 | [
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Graph Operations and Neighbor Rupture Degree
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 836395, 7 pages
http://dx.doi.org/10.1155/2013/836395
Research Article
Graph Operations and Neighbor Rupture Degree
^1Department of Mathematics, Yasar University, 35100 Izmir, Turkey
^2Department of Mathematics... | 5 | [
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Representation of the Solutions of Linear Discrete Systems with Constant Coefficients and Two Delays
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 320476, 19 pages
http://dx.doi.org/10.1155/2014/320476
Research Article
Representation of the Solutions of Linear Discrete Systems with Constant Coefficient... | 5 | [
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Frequency-Dependent Streaming Potentials: A Review
International Journal of Geophysics
Volume 2012 (2012), Article ID 648781, 11 pages
http://dx.doi.org/10.1155/2012/648781
Review Article
Frequency-Dependent Streaming Potentials: A Review
^1Institut de Physique du Globe de Strasbourg, UdS-CNRS UMR 7516, Université d... | 4 | [
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Proof involving invertible matrices
February 21st 2010, 11:36 AM #1
Proof involving invertible matrices
I need to prove that if A is an invertible matrix and B is row equivalent to A, then B is also invertible.
I understand the logic of that statement, but I'm not experienced enough to know how to write it i... | 5 | [
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Math Help
February 23rd 2009, 05:14 AM #1
Newbie
Joined
Feb 2009
Posts
2
Help
Hi, i would be verry happy if someone could help me with this tasks. Its number 5 i cant figure out.
AB=AC, AD=AE, BAD=30 degree , what is the angel x?
So plz help. zorry for my bad english...
thanks /Jonas
... | 4 | [
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ideals and units
April 28th 2010, 04:27 AM #1
Newbie
Joined
Feb 2010
Posts
9
ideals and units
The question is
Show that if I in M2(R) contains ( 1 0 ), then I=M2(R)
0 0
I know the fact that if I contains some unit then it would be equal to the ring R.
So,
( a b ) (1 0 ) = (a 0 )
... | 4 | [
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... | 25,024 | 25024 | |
Matrix exponential without series expansion
March 28th 2011, 09:31 AM #1
Matrix exponential without series expansion
Dear MHF members,
my problem is explained below.
__________________________________________________
Problem. Compute the matrix exponential of the matrix
$A:=<br /> \left(<br /> \b... | 5 | [
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Algebra help
June 15th 2009, 02:14 PM #1
Junior Member
Joined
Oct 2008
From
Lewes, England
Posts
37
Algebra help
Solve the equation:
$\frac {7}{(x-4)(x+3)} - \frac {4}{(x+3)(x-1)} = \frac {-3}{2}$
The answers are 2,3 but I can't work out a method.
Could really do with some help.
Tha... | 4 | [
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Questions about solutions to a (rather well-behaved) nonlinear system of ODEs • /r/math
Questions about solutions to a (rather well-behaved) nonlinear system of ODEs (self.math)
submitted by cge
sorry, this has been archived and can no longer be voted on
As part of the homework for a course I'm TAing, we have a ques... | 4 | [
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Subspaces
May 31st 2009, 01:34 AM
Robb
Subspaces
Hello MHF, would appreciate some help with the following equestions;
Determine which of the following sets are subspaces. Give reasons for your answers.
(a) $H=\left\{\left[\begin{array}{cc}s\\2s\\0\end{array}\right]:s\in\mathbb{R},s\geq0 \right\}$
(... | 4 | [
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-0.13... | 25,028 | 25028 | |
Modeling Using Differential Equations
April 16th 2010, 12:12 AM #1
Newbie
Joined
Jan 2010
Posts
17
Modeling Using Differential Equations
I'm having some trouble with this assignment:
Suppose the rate at which the volume in a tank decreases is proportional to the square root of the volume present. Th... | 4 | [
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0... | 25,029 | 25029 | |
Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 585639, 9 pages
http://dx.doi.org/10.1155/2013/585639
Research Article
Positive Solutions of a Two-Point Boundary Value Pro... | 5 | [
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Incomplete Bivariate Fibonacci and Lucas
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 840345, 11 pages
http://dx.doi.org/10.1155/2012/840345
Review Article
Incomplete Bivariate Fibonacci and Lucas -Polynomials
^1Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar,... | 5 | [
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Analysis of a Singular Convection Diffusion System Arising in Turbulence Modelling
International Journal of Partial Differential Equations
Volume 2013 (2013), Article ID 940924, 16 pages
http://dx.doi.org/10.1155/2013/940924
Research Article
Analysis of a Singular Convection Diffusion System Arising in Turbulence Mod... | 4 | [
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-... | 25,032 | 25032 | |
delta epsilon proof for limit of multivariable function
January 6th 2011, 09:21 AM #1
Member
Joined
Aug 2008
Posts
249
delta epsilon proof for limit of multivariable function
lim x^2 / (x+y)
(x,y) ~> (1,2)
I find that the limit is just 1/3. but i don't know how to prove this using the delta epsi... | 5 | [
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0.017... | 25,033 | 25033 | |
Formula help.
January 4th 2013, 09:08 AM
hisajesh
Formula help.
If two persons A and B start at the same time in opposite directions from two points and arrive at two points in 'a' and 'b' hr, respectively after having met, then , A's speed/B's speed = root b
/root a.
Can you help how this formula came u... | 4 | [
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Length of Curve with multivariable
July 8th 2009, 05:49 PM
sleepiiee
Length of Curve with multivariable
I tried to evaluate the length of this curve but cannot figure out what to do with the derivative of the log(cost). The question is:
Find the length of the curve r(t) = <1, log(cost)>
t having the dom... | 5 | [
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standard error equation
August 12th 2013, 08:57 AM #1
Newbie
Joined
Dec 2012
From
United States
Posts
22
standard error equation
Hi,
Can someone point out a good reference to understand the derivation (or proof) of the standard error of the sampling distribution of the sample mean, i.e. SE = SD/... | 5 | [
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arithmetic sequence
August 27th 2007, 08:30 AM
anilpadavil
arithmetic sequence
hello
'find the arithmetic progression of nine continuous numbers where the sum total is 135'
kindly get me detailed solution
sincerely
anil
August 27th 2007, 09:25 AM
ThePerfectHacker
Quote:
The first num... | 4 | [
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0.0238037109375,
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Optimal Management of Rechargeable Biosensors in Temperature-Sensitive Environments
International Journal of Distributed Sensor Networks
Volume 2013 (2013), Article ID 635637, 10 pages
http://dx.doi.org/10.1155/2013/635637
Research Article
Optimal Management of Rechargeable Biosensors in Temperature-Sensitive Environ... | 4 | [
-0.01171875,
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0.059814453125,
0.009033203125,
-0.0... | 25,038 | 25038 | |
Numerical Simulation of Solitary Wave Induced Flow Motion around a Permeable Submerged Breakwater
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 508754, 14 pages
http://dx.doi.org/10.1155/2012/508754
Research Article
Numerical Simulation of Solitary Wave Induced Flow Motion around a Permeable Submerged... | 4 | [
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Singular_value_decomposition
In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix, with many useful applications in signal processing and statistics.
Formally, the singular value decomposition of an m×n real or complex matrix M is a factorization of the form
$M... | 5 | [
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0.027099609375,
0.00531005859375,
0.0... | 25,040 | 25040 | |
Series :) enjoy
November 12th 2012, 06:37 AM #1
Newbie
Joined
Sep 2012
From
England
Posts
3
Series :) enjoy
1) Water fills a tank at a rate of 150 litres during the first hour, 350 litres during the second, 550 during the third and so on. Find the number of hours necessary to fill a rectangular tank
... | 4 | [
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-0.07324... | 25,041 | 25041 | |
GRE practice with fractions and exponents
I've recently begun studying for the GRE, and this was the problem:
(1/2)^a=(1/3)^b
These were the answer choices (I'm not sure if they are important for this, so I'm including them just in case):
Which is true?
a<b<0
b>a>0
b<a<0
b<0<a
a<0<b
The solution to this problem began... | 4 | [
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0.00048... | 25,042 | 25042 | |
The Anisotropic Glassy Properties of Decagonal Quasicrystals
Advances in Condensed Matter Physics
Volume 2013 (2013), Article ID 419202, 5 pages
http://dx.doi.org/10.1155/2013/419202
Research Article
The Anisotropic Glassy Properties of Decagonal Quasicrystals
^1Horia Hulubei National Institute for Physics and Nucle... | 4 | [
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0.0434570... | 25,043 | 25043 | |
Nonlinear-Model-Based Analysis Methods for Time-Course Gene Expression Data
The Scientific World Journal
Volume 2014 (2014), Article ID 313747, 9 pages
http://dx.doi.org/10.1155/2014/313747
Research Article
Nonlinear-Model-Based Analysis Methods for Time-Course Gene Expression Data
^1School of Information, Beijing W... | 4 | [
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A Global Optimization Algorithm for Generalized Quadratic Programming
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 215312, 9 pages
http://dx.doi.org/10.1155/2013/215312
Research Article
A Global Optimization Algorithm for Generalized Quadratic Programming
^1Department of Mathematics, Henan Institute... | 5 | [
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0.0... | 25,045 | 25045 | |
Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Abstract and Applied Analysis
VolumeΒ 2012Β (2012), Article IDΒ 982925, 13 pages
http://dx.doi.org/10.1155/2012/982925
Research Article
Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Department of Mathematics... | 5 | [
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... | 25,046 | 25046 | |
Far-field Diffraction Properties of Annular Walsh Filters
Advances in Optical Technologies
Volume 2013 (2013), Article ID 360450, 6 pages
http://dx.doi.org/10.1155/2013/360450
Research Article
Far-field Diffraction Properties of Annular Walsh Filters
^1MCKV Institute of Engineering, 243 G.T. Road, Liluah, Howrah 711... | 4 | [
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... | 25,047 | 25047 | |
A Two-Dimensional Solution of the Advection-Diffusion Equation With Dry Deposition to the Ground
September 12, 2008
By Tirabassi, Tiziano Buske, Daniela; Moreira, Davidson M; Vilhena, Marco T
ABSTRACT A mathematical scheme is developed to simulate the vertical turbulent dispersion of air pollution that is absorbe... | 4 | [
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-0.039... | 25,048 | 25048 | |
Exponential Stabilizability of Switched Systems with Polytopic Uncertainties
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 853170, 15 pages
http://dx.doi.org/10.1155/2012/853170
Research Article
Exponential Stabilizability of Switched Systems with Polytopic Uncertainties
^1School of Mathematical Scie... | 5 | [
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0.060302734375,
-0.041015625,
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0.1435546875,
-0.0185546875,
... | 25,049 | 25049 | |
Analytical Solutions of the One-Dimensional Heat Equations Arising in Fractal Transient Conduction with Local Fractional Derivative
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 462535, 5 pages
http://dx.doi.org/10.1155/2013/462535
Research Article
Analytical Solutions of the One-Dimensional Heat Equat... | 5 | [
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0.0126953125,
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-0.03662109375,
-0.0164794921875,
-... | 25,050 | 25050 | |
Schwarzschild Orbits in Cartesian coordinates
Hi all, I am the PF member whom CarlB mentioned, although I don't think he understood my PMs very well.
CarlB
As usual, I find at least one mistake in the above equations...wrong sign... putting the equations into my Java differential equation integrator, the behavior i... | 5 | [
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0.003890991... | 25,051 | 25051 | |
Sove simple equation doubt
September 21st 2011, 06:06 AM #1
Sove simple equation doubt
I'm solving this:
Code:
3 – 7 * (1 - 2x) = 5 – (x + 9)
And am trying this way:
Code:
3- 7 * (1 - 2x) = 5 - (x + 9)
3 - 7 ..?? ?? = 5 - x - 9)
What should be done in the part I put those quest... | 4 | [
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0.008056640625,
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0.030029296875... | 25,052 | 25052 | |
Lines in a plane - Orthogonality; Distances
Consider the line d with equation y = m x + q . Let t be a variable real number. Point P(t, m.t+q) is on the line d. P is a variable point of the line. The variable t is called a 'parameter'.
Example: P(t, 3t-1 ) is a variable point on the line y = 3x-1.
Application:
Find ... | 5 | [
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0.03369140625,
-0.043212890625,
-0.0578613281... | 25,053 | 25053 | |
Proving of trigonometric ID
July 22nd 2012, 12:57 AM #1
Junior Member
Joined
Jul 2009
From
Singapore
Posts
47
Proving of trigonometric ID (solved)
Good Day,
I'm stuck on proving the following trigonometric identity:
(sin 2x + sin 4x + sin 6x) / (cos 2x + cos 4x + cos 6x) = tan 4x
I do ... | 4 | [
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0.01025390625,
0.0037994384765625,
-0.017700195... | 25,054 | 25054 | |
Area
August 2nd 2006, 10:06 AM
bret80
Area
Find the area of the region limited by the graphs of
y= 2x^2/3 and y= -x^2+15
Nice Graph by Quick, but I would like to know how to calculate the result, thanks.
August 2nd 2006, 12:00 PM
Quick
Quote:
Originally Posted by bret80
Find the area o... | 5 | [
-0.001953125,
0.044189453125,
0.0267333984375,
-0.0186767578125,
0.072265625,
-0.0712890625,
-0.0849609375,
0.0830078125,
0.0186767578125,
-0.03369140625,
0.0888671875,
-0.017333984375,
0.004913330078125,
0.0625,
0.0216064453125,
0.07080078125,
0.0498046875,
-0.09033203125,
0.049... | 25,055 | 25055 | |
Problem showing a group is nontrivial • /r/math
Problem showing a group is nontrivial (self.math)
submitted by Cyllindra
sorry, this has been archived and can no longer be voted on
So... I have a question on a take-home, and here is the problem:
Let Z(G) be the center of a nonabelian group G.
(a) Show that G/Z(G) ... | 4 | [
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0.004913330078125,
-0.05712890625,
-0.000008106231689453125,
-0.0291748046875... | 25,056 | 25056 | |
Lie Groups Analysis and Contact Transformations for Ito System
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 342680, 12 pages
http://dx.doi.org/10.1155/2012/342680
Research Article
Lie Groups Analysis and Contact Transformations for Ito System
Department of Mathematics, Faculty of Science, King Abdula... | 5 | [
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Bifurcation and Chaos in a Price Game of Irrigation Water in a Coastal Irrigation District
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 408904, 10 pages
http://dx.doi.org/10.1155/2013/408904
Research Article
Bifurcation and Chaos in a Price Game of Irrigation Water in a Coastal Irrigation Di... | 4 | [
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How do I differentiate y=(4x^2 - e^2x)sin3x ?
October 2nd 2011, 08:26 AM #1
Newbie
Joined
Aug 2011
Posts
14
How do I differentiate y=(4x^2 - e^2x)sin3x ?
Hi, I have a seemingly straight forward question but I seem to get lost half way through! how do I differentiate y=(4x^2 - e^2x)sin3x ?
So far, I ... | 5 | [
0.04296875,
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S_4=1^4+2^4+...+n^4 (linear algebra method)
August 11th 2011, 01:26 AM #1
S_4=1^4+2^4+...+n^4 (linear algebra method)
This problem provides a linear algebra method for computing sums of the form $S_k=1^k+2^k+3^4+\ldots+n^k$ with $k$ positive integer.
1. Let $\mathbb{R}_5[x]$ the real vector space of all poly... | 5 | [
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Expectation of X
October 4th 2009, 09:35 AM #1
Junior Member
Joined
Aug 2008
Posts
33
Expectation of X
I am working on this problem and I don't really know what to do. I am really struggling in this class.
A bag contains n balls numbered 1, 2, 3, ....n. Two of them are taken out of the bag (without ... | 4 | [
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Some New Traveling Wave Solutions of the Nonlinear Reaction Diffusion Equation by Using the Improved (
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 871724, 17 pages
http://dx.doi.org/10.1155/2012/871724
Research Article
Some New Traveling Wave Solutions of the Nonlinear Reaction Diffusion Equat... | 5 | [
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Square matrix and induced norm
April 10th 2010, 10:44 AM #1
Member
Joined
Feb 2009
Posts
98
Square matrix and induced norm
Let T be any square matrix and let $\left\| \cdot \right\|$ denote any induced norm. Prove that
$lim_{n \rightarrow _{\infty}} \left\| T^{n} \right\| ^{1/n}$ exists and equals ... | 4 | [
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Moment Generating Function of a gamma distribution.
February 2nd 2010, 07:50 AM
Yardee
Moment Generating Function of a gamma distribution.
Hello Math Forums, this is my first time posting here so I apologize for not knowing all the functions of the board, but I just have a stats question that I am a bit lost on.... | 5 | [
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0.046875,
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-0.037597656... | 25,064 | 25064 | |
cardinality
April 15th 2008, 07:00 PM
sfitz
cardinality
I have two problems:
1. Let A, B, and C be sets. Suppose that card A < card B and card B < card C. Prove that card A < card C.
Can I do this by contradiction?:
Assume card A < card B, card B < card C, and by contradiction, that card A > C.
... | 5 | [
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converge/diverge
sum n=1 oo (arctan(n))^2 / 1+n^2 how do i solve it using integral test?
Less formally than Jhevon, as $\arctan(n)$ by definition is giving a value in the range $(-\pi/2, \pi/2)$$\arctan(n)$ is bounded (in fact not only is it bounded but as $n \to \infty \arctan(n) \to \
pi/2$). Also for large $n$, $1/... | 5 | [
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Rigid Body Dynamics
Two-Dimensional Rigid Body Dynamics
For two-dimensional rigid body dynamics problems, the body experiences motion in one plane, due to forces acting in that plane.
A general rigid body subjected to arbitrary forces in two dimensions is shown below.
The full set of scalar equations describing the... | 4 | [
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... | 25,067 | 25067 | |
invertible matrix
September 20th 2012, 06:51 AM
jojo7777777
invertible matrix
I have some difficulty proving the bolded part of the exercise:
If A is an nxn matrix establish the identity
I[n]-A^k+1=(I[n]-A)(I[n]+A+A^2+...+A^k).
Deduce that if some power of A is the zero matrix then I[n]-A is inverti... | 5 | [
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Cardinal numbers proof
January 22nd 2008, 09:23 AM
tashe
Cardinal numbers proof
How can I prove these lines:
Let N be a set of natural numbers and |N|=Xo.
How can i prove that
Xo + k = Xo
or
Xo * Xo = Xo
Help anyone?
January 22nd 2008, 09:49 AM
Jhevon
Quote:
i assume $k$ is... | 5 | [
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0.057373046875,
0.0159912109375,... | 25,069 | 25069 | |
compound interest
April 26th 2009, 08:17 PM #1
Newbie
Joined
Apr 2009
Posts
10
ok i have two questions that i need help on. ugh word problems...
1. a car tire has a small leak, and the tire pressure in pounds per square inch after t minutes is given by
P(t) = 32e (-0.2t) After how many minutes w... | 4 | [
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0.099609375,
-0.005096435546875,
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-0.068359375,
-0.048828125... | 25,070 | 25070 | |
Markov Models for Image Labeling
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 814356, 18 pages
http://dx.doi.org/10.1155/2012/814356
Review Article
Markov Models for Image Labeling
^1College of Computer Science, Zhejiang University of Technology, Hangzhou 310023, China
^2Department of Mathemat... | 4 | [
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0.0625,
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0.041748046875,
-0.0115966796875,
0.024536132... | 25,071 | 25071 | |
the encyclopedic entry of matrix math
In
linear algebra
, the
kernel
or
null space
(also
nullspace
) of a
matrix A
is the
set
of all vectors
x
for which
Ax
=
0
. The null space of a matrix with
n
columns is a
linear subspace
of
n
-dimensional
Euclidean space
.
The nullspace (or kernel) of the... | 5 | [
-0.023681640625,
-0.05517578125,
-0.09619140625,
0.00799560546875,
0.01495361328125,
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0.0185546875,
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0.059814453125,
... | 25,072 | 25072 | |
number theory
September 22nd 2012, 09:12 AM #1
Senior Member
Joined
Sep 2012
From
Sweden
Posts
250
Thanks
6
number theory
i prob post on wrong sector but idk where i should post it, sorry
the quest is :
Which (positive) residual obtained when 11^30+5^31-6 divided by 24?
i have got th... | 5 | [
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0.09375,
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0.0247802734375,
0.031982421875,
0.01068115234375,
0.048095703125,
-0.00110626220703125,
-0.0032958984375,
-0.04150390625,
-0.0693359375,
-0.0284... | 25,073 | 25073 | |
Application of Simulation Methods for Evaluating the Sea Waterways Traffic Organisation
ISRN Applied Mathematics
Volume 2013 (2013), Article ID 715142, 8 pages
http://dx.doi.org/10.1155/2013/715142
Research Article
Application of Simulation Methods for Evaluating the Sea Waterways Traffic Organisation
Mathematics De... | 4 | [
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-0.01007080078125,
-0.... | 25,074 | 25074 | |
Fractal Theory and Contact Dynamics Modeling Vibration Characteristics of Damping Blade
Advances in Mathematical Physics
Volume 2014 (2014), Article ID 549430, 7 pages
http://dx.doi.org/10.1155/2014/549430
Research Article
Fractal Theory and Contact Dynamics Modeling Vibration Characteristics of Damping Blade
School... | 4 | [
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Euler problems/21 to 30
From HaskellWiki
< Euler problems
(Difference between revisions)
Lisp (Talk | contribs) (→Problem 24: Added another method for Problem 24)
← Older edit ... | 5 | [
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-0.06494140625,
-0.00... | 25,076 | 25076 | |
Hi I need help on inverse functions and other things
October 13th 2007, 02:48 PM #1
Newbie
Joined
Oct 2007
Posts
2
Hi I need help on inverse functions and other things
Hi my name is Cindy and I am new here and I need help on my math homework.
The first one says which of the following fuctions f(x) =... | 4 | [
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-0.05419921875,
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0.0031890869140625,
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0.02490234375,
0.1005859375,
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0.0830078125,
-0.019775390625,
0.0168457031... | 25,077 | 25077 | |
Optimal Control of Pseudoparabolic Variational Inequalities Involving State Constraint
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 641736, 9 pages
http://dx.doi.org/10.1155/2014/641736
Research Article
Optimal Control of Pseudoparabolic Variational Inequalities Involving State Constraint
^1School of... | 5 | [
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0.050537109375,
0.07080078125,
-0.11279296875... | 25,078 | 25078 | |
Precise Analytical Computation of Frozen-Eccentricity, Low Earth Orbits in a Tesseral Potential
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 191384, 13 pages
http://dx.doi.org/10.1155/2013/191384
Research Article
Precise Analytical Computation of Frozen-Eccentricity, Low Earth Orbits in a Tesse... | 4 | [
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-0.07080078125,
0.00552368... | 25,079 | 25079 | |
Some Fixed and Periodic Points in Abstract Metric Spaces
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 908423, 15 pages
http://dx.doi.org/10.1155/2012/908423
Research Article
Some Fixed and Periodic Points in Abstract Metric Spaces
^1School of Mathematical Sciences, Faculty of Science and Technology, ... | 5 | [
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-0.0546875,
-0.07177734375... | 25,080 | 25080 | |
Another nasty integral
December 12th 2006, 10:25 AM
topsquark
Another nasty integral
I've got another one for you.
I ran across this theorem in my Field Theory text. The theorem is this:
Given a sufficiently smooth function f(x) we have that:
$\lim_{x \to \infty}f(x) + \lim_{x \to - \infty}f(x) = \... | 4 | [
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0.005889892578125,
0.0732421875,
-0.01275634765625,
0.00457763671875,
-0.033935546875,
0.068359375,
-0.042480468... | 25,081 | 25081 | |
Union of distinct subset in a finite group G.
November 30th 2012, 05:39 AM #1
Newbie
Union of distinct subset in a finite group G.
Last edited by john27; November 30th 2012 at 05:59 AM.
Re: Union of distinct subset in a finite group G.
By AB you mean x\in G s.t x=a.b where a\in A, b\in B and the operation ... | 4 | [
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-0.00885009765625,
-... | 25,082 | 25082 | |
Algebraic Topology - Fundamental Group and Liftings - Munkres CH 9
June 22nd 2012, 07:02 PM
Bernhard
Algebraic Topology - Fundamental Group and Liftings - Munkres CH 9
In Section 54 of his book "Topology" on the Fundamental Group of the Circle, Munkres presents the following Lemma (Lemma 54.1 - see attachment)
... | 5 | [
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Current Controlled Differential Difference Current Conveyor Transconductance Amplifier and Its Application as Wave Active Filter
ISRN Electronics
Volume 2013 (2013), Article ID 968749, 11 pages
http://dx.doi.org/10.1155/2013/968749
Research Article
Current Controlled Differential Difference Current Conveyor Transcond... | 4 | [
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On Fixed Point Theory of Monotone Mappings with Respect to a Partial Order Introduced by a Vector Functional in Cone Metric Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 349305, 6 pages
http://dx.doi.org/10.1155/2013/349305
Research Article
On Fixed Point Theory of Monotone Mappings with Respect... | 5 | [
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Factoring by Grouping
November 17th 2006, 05:36 PM #1
mmsan
Guest
Factoring by Grouping
note: x^2 means x ( or whatever variable) to the power of 2
p^2-q^2+r^2-2pr
factor by grouping ( or any other method)
i've tried to factor it into this format: (x-y+z)(x-y-z), but i can't seem to do it. the answer... | 4 | [
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0.0625,
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... | 25,086 | 25086 | |
includes circle,chord and tangent concepts
September 28th 2010, 08:29 AM #1
includes circle,chord and tangent concepts
prove that chord of contact of the pair of tangents to the circle $x^2 + y^2 = 1$ drawn from any point on the line $2x + y = 4$ passes through a fixed point.also,find the co-ordinates of that
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Separable Equations
March 6th 2011, 02:59 PM
Naples
Separable Equations
1. Solve
$dP/dt = P(a-bP)$ where a and b are constants
$dP/[P(a-bP)] = dt$
rewrote the integral as
$-dP/[P(bP-a)] = dt$
then used this list of integrals [HTML]http://en.wikipedia.org/wiki/List_of_integrals_of_rational_fun... | 5 | [
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problem solving - square roots
December 4th 2009, 01:38 AM #1
Member
Joined
Jul 2009
Posts
168
problem solving - square roots
This problem was in my calculus exercise, yet I don't understand why:
Solve the equation :
$x=\sqrt{5+\sqrt{5+\sqrt{5+x}}}$
(Show there are not other solutions to the... | 4 | [
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-Best Simultaneous Approximation in Topological Vector Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 978738, 7 pages
http://dx.doi.org/10.1155/2013/978738
Research Article
New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces
Department of Mathematics and Statistic... | 5 | [
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The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 378750, 19 pages
http://dx.doi.org/10.1155/2013/378750
Research Article
The Mann-Type Extragradient... | 4 | [
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What is zero content?
I know the definition, But I'm looking for an explanation.. anyone?
I have: for every epsilon>0 there is a finite collection of intervals I1...IL st: A) Z⊂U IL,and B) The sum of the lengths of the I l's is less than epsilon. But how can the sum of the intervals be
less than epsilon, does it just ... | 4 | [
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Factorials and Permutations
Let's say we have two books: The Odyssey and The Iliad. We should probably have more books, but if we're only going to have two, these are a good two to have. There are two possible ways to order
these books on a shelf. We can have either of these orders:
The Odyssey, The Iliad
The Iliad, T... | 4 | [
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Convexity Invariance of Fuzzy Sets under the Extension Principles
Journal of Function Spaces and Applications
Volume 2012 (2012), Article ID 849104, 13 pages
http://dx.doi.org/10.1155/2012/849104
Research Article
Convexity Invariance of Fuzzy Sets under the Extension Principles
^1College of Mathematics and Physics, ... | 5 | [
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[SOLVED] Fraction using exponents and parenthesis
April 12th 2010, 10:22 AM #1
Newbie
Joined
Apr 2010
Posts
12
Hi everyone first time here, got 2 questions, I'm pretty sure I got the first one rite but would like a second opinion and would like to no how to solve the second one....
First one is:
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calculus of fractions
Context
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Contents
Idea
A class $W$ of weak equivalences in a category $C$ is said to admit a calculus of f... | 4 | [
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Analytical Expressions of the Efficiency of Standard and High Contact Ratio Involute Spur Gears
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 142849, 14 pages
http://dx.doi.org/10.1155/2013/142849
Research Article
Analytical Expressions of the Efficiency of Standard and High Contact Ratio Involu... | 4 | [
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Line Integrals Across Line Segment
December 3rd 2008, 11:56 AM #1
Junior Member
Joined
Jun 2008
Posts
46
Line Integrals Across Line Segment
Hello all,
I have a problem where I need to parametrize a line segment in order to evaluate a line integral, but I don't know how to do that. The problem is as ... | 5 | [
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Chapter 5, Dose-Response, Linear Regression, and Some Other Key Concepts in Our Analyses
Part 1. Radiation-Induced Cancer: The "Build-Up" Phase
Part 2. Equilibrium Phase: Flat Rates of Radiation-Induced Cancer
Part 3. The "Build-Down" Phase: An Exceedingly Gradual Phenomenon
Part 4. Is There Really Any... | 4 | [
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