content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Sato-Tate measure for GL(3) Automorphic forms
up vote 7 down vote favorite
2
As we have known, the Sato-Tate measure for GL(2) turned out to be the half circle measure
$\frac{1}{2\pi} \sqrt{4-x^2}dx$ on [-2,2],
which appears in various versions of equi-distribution problems in GL(2).
My question is what the corresp... | 4 | [
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Group lassoing change-points in piecewise-constant AR processes
Abstract
Regularizing the least-squares criterion with the total number of coefficient changes, it is possible to estimate time-varying (TV) autoregressive (AR) models with piecewise-constant coefficients.
Such models emerge in various applications includ... | 4 | [
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Bohr sets, Coin-flip sets and Roth's theorem
up vote 2 down vote favorite
1
I have been learning about Roth's theorem, trying to understand how Fourier series and dynamical systems (or even graph theory and binary sequences)are involved in counting arithmetic sequences in
sets.
Any integer set of positive upper d... | 4 | [
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Find an equation of the tangent plane?
April 17th 2012, 05:53 PM
MrCryptoPrime
Find an equation of the tangent plane?
Question: Find an equation of the tangent plane to the parametric surface x=1rcosθ, y=4rsinθ, z=r at the point (sqrt(2),4sqrt(2),2) when r=2, θ=pi/4.
My attempt:
Let m = <rcosθ, 4rsinθ,... | 5 | [
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Design Calculation
Inverted Siphon (Depressed Sewer) Design Calculation
LMNO Engineering, Research, and Software, Ltd.
To: LMNO Engineering home page LMNO@LMNOeng.com Unit Conversions Register Trouble viewing or printing?
Inverted siphons (also called depressed sewers) allow stormwater or wastewater sewers to pass ... | 4 | [
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Sugar Cubes and Coffee Cups
Date: 09/26/2002 at 02:11:42
From: Robert Kim
Subject: Coffee cup question
Hello Dr. Math,
In Introduction to Calculus, my teacher asked us an interesting
question and asked us to find a solution. He said that it is vital
that we should know the reason behind the solution.
If there are ... | 4 | [
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linear algebra change of basis
August 7th 2010, 03:47 PM
SpiffyEh
linear algebra change of basis
Let p(x) = 7 -12x - 8x^2 + 12x^3. Find the coordinate vector of p relative to B.
Hint: Determine {c0, c1, c2, c3} such that p(x) = the sum from i = 0 to 3 of c_i * H_i(x)
H_0(x) = 1
H_1(x) = 2x
H_2(x... | 5 | [
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0... | 39,606 | 39606 | |
Combinatorial analogues of curvature
up vote 10 down vote favorite
8
There appear to be many "combinatorial" definitions of curvature as applied to finite simplicial (or regular CW) complexes. For instance, we have the ideas of Cheeger, Muller and Schrader, of Forman
and also some wonderful work by Luo. This list just... | 4 | [
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Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: double integration. numerical integration
Replies:... | 4 | [
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Explanation of $y = x \exp(\triangle)$ for a Lie Group
up vote 1 down vote favorite
1
Let $M$ be a non-compact matrix Lie group and $T_e M$ its lie algebra.
Consider a point $x \in M $ and $ \triangle \in T_e M$.
To move from $x$ to a point $y \in M$ along $\triangle$, below group operation seems to be commonly used... | 4 | [
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Example:Find Square Root using Long Division
Explanation:
┌───────────────────────────────────┐
│ Square │
├───────────────────────────────────┤
│ │
│A square is a regular quadrilateral│
└───────────────────────────────────┘
In geometry, a square is ... | 4 | [
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Plz solve this trignometry question.Tomorrow is my exam.
July 20th 2008, 03:16 AM #1
Newbie
Joined
Jul 2008
Posts
10
Plz solve this trignometry question.Tomorrow is my exam.
Tomorrow is my maths 1 exam and next day maths 2 exam so plz solve these question whole as soon as possible.
1)As observed fro... | 4 | [
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What is $\sum (x+\mathbb{Z})^{-2}$?
up vote 8 down vote favorite
3
This is a simple question, but its been bugging me. Define the function $\gamma$ on $\mathbb{R}\backslash \mathbb{Z}$ by $$\gamma(x):=\sum_{i\in \mathbb{Z}}\frac{1}{(x+i)^2}$$ The sum converges
absolutely because it behaves roughly like $\sum_{i>0}i^{-... | 4 | [
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cdf for funcion including E(X) and V(X)
June 27th 2010, 07:16 AM #1
cdf for funcion including E(X) and V(X)
I seem to have totally messed up this problem because my results do not make sense.
Could anyone please show me where I went wrong? Many thanks.
The weekly demand for propane gas (in 1000s of gallo... | 5 | [
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e-stud.vgtu.ltusersfilesdest4722vaidogas_glam
ESTIMATION OF STRUCTURAL RELIABILITY
BY MEANS OF
MONTE CARLO METHOD
Definition & calculation of reliability
ERASMUS LECTURE, BEng LEVEL
Egidijus R. Vaidogas
Vilnius... | 5 | [
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integration by substitution
$\int\frac{1}{\sqrt{9+4x^2}}dx ($Let $x=\frac{3}{2}tan\theta)$ $\frac{dx}{d\theta}=\frac{3}{2}sec^2\theta$ $\int\frac{1}{\sqrt{9+4x^2}}dx=\int\frac{1}{\sqrt{9 +4(\frac{3}{2}tan^2\theta)}} d\theta$ $=
\frac{3}{18}\int\frac{1+tan^2\theta}{1+tan^2\thet a}d\theta$ $=\frac{3}{18}\theta+c$
Your s... | 5 | [
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Homogeneous metrics of given volume element, on the n-sphere.
up vote 5 down vote favorite
1
Let $\omega$ be an $n$-form on $S^n$, nowhere vanishing.
Is there a Riemannian metric $g$ on $S^n$, so that its volume form is $\omega$, and $(S^n,g)$ is homogeneous? Is it unique, and if not, what transformations of $S^n$ re... | 5 | [
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finding f from gradient
find f if grad f = 3xy i + x^3 j
As you know grad f = $\frac{d(f(x,y))}{dx}*i + \frac{d(f(x,y))}{dy}*j$ so I believe you could try integrating both part! Give that a try and let us know if it worked! Hope that helped, if not let me
know!
IF there exist a function f having that gradient, then w... | 5 | [
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★MINI MONI MANIA★
You are currently browsing the tag archive for the ‘Trigonometry’ tag.
I originally planned to continue the last post by discussing the math battle problem in Episode 1, but I think it’s mostly sufficiently explained in the episode already, though there are some logical
holes: Sayuri’s first “proof” ... | 5 | [
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Dirichlet series of the reciprocal radical function
up vote 3 down vote favorite
Define $ rad(n):=\prod_{p|n}p $ and $a_n:=\frac{n}{rad(n)}.$ For example $a_n=1$ whenever n is a squarefree integer. The assosiated Dirichlet series $$F(s):=\sum_{n} \frac{a_n}{n^s}=\prod_{p} (1+\
frac{1}{p^s} \frac{1}{1-p^{1-s}})$$ has a... | 4 | [
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Properness of quotient forcing
up vote 7 down vote favorite
1
It is well known that if $P$ is a proper notion of forcing and $\Vdash_P \dot{Q} \text{ is proper}$ then the iteration $P \ast \dot{Q}$ is proper. Is the converse also true, i.e
Suppose that we have a two step iteration, such that $P$ and $P \ast \dot{Q}$ ... | 5 | [
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tanh differentiable
February 7th 2010, 10:57 AM #1
Member
Joined
Feb 2008
Posts
184
tanh differentiable
$tanh(x)= \frac{e^x- e^{-x}}{e^x+ e^{-x}}$
(a) Prove that tanh is differentiable.
exp is differentiable, therefore tanh is differentiable?? The above has substraction and division by exp. Ho... | 4 | [
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The Re-Entry of OSCAR-13
Proceedings of the 12th annual Amsat Space Symposium, Orlando, Florida, USA, 1994. 4 pages.
Amsat-UK's Oscar News, 1994 Oct No. 109 p 16-20
Amsat-DL Journal (D), Jg. 22, No. 1, Mar/May 1995
Jamsat Newsletter (JA) No. 166, 1995 March 25. p1-4
Amsat OZ Journal (OZ) No. 37, 1995 May
Amsat Journa... | 4 | [
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Can an ultraproduct be infinite countable?
up vote 5 down vote favorite
1
In exercise 4 page 456 of Hodges "Model Theory" it is required to show that if an ultrafilter $\mathcal{U}$ is not $\omega_1$-complete, then every ultraproduct $\prod_I A_i/ \mathcal{U}$ has
cardinality $< \omega$ or $\geq 2^\omega$.
Does this ... | 5 | [
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Calculus questions
September 4th 2008, 10:51 AM #1
Calculus questions
1 I need to know the convergence of this series
$\sum_{k=1}^{\infty} \frac{2k+5}{\sqrt{3{k^3} - 1/2}}$
2 I have to obtain the expression of dy/dx for the following function
3xy - 2x^2y + y^3 =0
3 $5x^2 + 3y^2 = 16$
The x... | 4 | [
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A few questions
Re: A few questions
Re: A few questions
Agnishom wrote:
Hi scientia;
Would you please explain a little? Especially, the last two lines
The last two digits of are the last two digits of . Hence the ten's digit of (call it
N
) is the last digit plus any carry over from . If , is a single-dig... | 5 | [
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A Novel Voltage-to-Voltage Logarithmic Converter with High Accuracy
Cyber Journals: Multidisciplinary Journals in Science and Technology, Journal of Selected Areas in Microelectronics (JSAM), January Edition, 2011
A Novel Voltage-to-Voltage Logarithmic
... | 4 | [
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Departing from the moment generating function
February 2nd 2008, 03:11 PM
paolopiace
Departing from the moment generating function
Thanks for all your help, guys! Special thanks to Mr.F!
The previous attempts were discouraging:
http://www.mathhelpforum.com/math-he...-function.html
Now I change appr... | 5 | [
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Determine the value(s) of K that makes 9w^2-kw+36 factorable.Please explain how you answer this question fully thank... - Homework Help - eNotes.com
Determine the value(s) of K that makes 9w^2-kw+36 factorable.
Please explain how you answer this question fully thank you.
`P = 9w^2-kw+36`
For P to be factorable `Delt... | 4 | [
0.020263671875,
0.06640625,
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Economic Order Quantity
March 22nd 2010, 07:21 PM
camkin
Economic Order Quantity
Ann Chovies, owner of Perfect Pasta Pizza Parlor, uses 20 pounds of pepperoni each day in preparing pizzas. Order costs for pepperoni are $10.00 per order, and carrying costs are 4 cents per
pound per day. Lead time for each ord... | 4 | [
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0.04052734375,
-... | 39,629 | 39629 | |
Characterizing Hessians among symmetric bilinear tensors
up vote 10 down vote favorite
8
I apologize in advance if this is somewhat elementary, but:
Let $(M,g)$ be a compact Riemannian manifold. Is there a "characterization" of which symmetric bilinear tensors $B\in Sym^2(M)$ are Hessians of functions $f\colon M\... | 4 | [
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Am I being swindled with my sleepers?
July 17th 2008, 12:35 AM #1
Newbie
Joined
Jul 2008
Posts
1
Am I being swindled with my sleepers?
If I buy 17 new railway sleepers, the specification sheet of which accurately states that 5% sleepers are not cuboid, what is the probability that I find 9 out of 17 of t... | 5 | [
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... | 39,631 | 39631 | |
Reversing quantifiers
December 4th 2011, 11:03 AM #1
Newbie
Joined
Dec 2011
Posts
2
Reversing quantifiers
Any hints on the strategy to derive ∃y∀x(Ax & By) from ∀x∃y(Ax & By) in fitch-format? I've been stuck on this one for weeks.
Re: Reversing quantifiers
"There exists x (property of x)" can be ch... | 4 | [
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Help ME Please!!!
Last edited by CaptainBlack; July 23rd 2006 at 08:15 PM.
Lane Hello, Lane, use Cramer's rule: $\left|\begin{array}{cc}5&9\\7&-10\end{array}\right|=5\cdot (-10)-9\cdot7=-113$. So it's answer C. Greetings EB
Lane Hello, Lane, it's me again. Use the same method as in prob. nr. 4.: $\left|\begin{array}{... | 5 | [
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Hypersurfaces containing no lines
up vote 3 down vote favorite
1
Let $k = \bar{k}$ a fixed field. I would like to know if there exist hypersurfaces $X \subset \mathbb{A}_k^n$ that contain no lines. By line I really mean line, and not just rational curve.
I haven't put any restrictions on $X$, but it's still not clear... | 4 | [
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Is an elementary symmetric polynomial an irreducible element in the polynomial ring?
up vote 1 down vote favorite
3
Let $S=\mathbb{C}[x_1,x_2,\dots,x_n]$ be a polynomial ring. Let $e_a$ denotes the elementary symmetric polynomials of degree $a$ in $S$.
For $n=2$:
$e_1=x_1+x_2$;
$e_2=x_1x_2$.
For $n=3$:
$e_1=x_1+x_... | 5 | [
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Dividing Rational Expressions
July 19th 2010, 09:30 AM #1
Newbie
Joined
Dec 2008
Posts
13
Dividing Rational Expressions
Once again I have no one to turn to for help so I must put my fate in your hands.
These problems are for a study guide for my midterm tonight and I have no idea how to do them. Any ... | 4 | [
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Linearly Independent
November 1st 2009, 08:24 PM
Alterah
Linearly Independent
I am having difficulties with the following problem. I need to find values of t that make the set linearly independent.
Problem:
$S = {(t,1,1), (1,t,1), (1,1,t)}$
The answer is all t not equal to 1 and -2. I am confused o... | 5 | [
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Modeling with MatLab
A flexible tool for system solutions
Mark is a design engineer for Motorola and can be contacted at mweaver@worldnet.att.net.
From PC boards and networking to cellular phones and pagers, communication systems are everywhere. Because designing and implementing communication systems is a complex pr... | 4 | [
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Absolute Extrema
March 11th 2009, 12:29 PM #1
Absolute Extrema
Locate the absolute extrema of the function f(x)=(2x)/(x^2+1) on the interval [-2, 4]
I don't know where to begin. Do I find the derivative and then plug in -2?
You are on the right track. The first step is indeed to take the derivative. The... | 5 | [
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Math Help
This can be solved using a bunch of integration by parts with a little help by a useful trig identity. $\int_{a}^{b} u \frac{dv}{dx} dx = \left. uv \right|_{x=a}^{b} - \int_{a}^{b} \frac{du}{dx} v
dx$ Let $u = \cos^{2004}{x} \ , \ \frac{dv}{dx} = \cos{2004x} \Rightarrow v = \frac{1}{2004} \sin{2004x}$ $\int ... | 5 | [
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-0.0126953125,... | 39,640 | 39640 | |
differential equation
May 9th 2009, 11:29 AM #1
Member
Joined
Sep 2008
Posts
239
differential equation
A neglected large lawn contains a certain type of weed. The area of the lawn covered by the weed at time t years is Wm². The rate of increase of W is directly proportional to W.
Write down a differ... | 5 | [
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Math Tools Discussion: All Lesson Plans in Calculus on TI Calculator, teacher needs help!
Discussion: All Lesson Plans in Calculus on TI Calculator
Topic: teacher needs help!
<< see all messages in this topic
< previous message | next message >
Subject: RE: teacher needs help!
Author: Craig
Date: Dec 14... | 5 | [
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Triangle Angle Problem
September 22nd 2007, 08:17 AM #1
Triangle Angle Problem
Hi everyone, I think that I have got the first part (a) of this question correct but would appreciate someone checking and pointing me in the right direction as I have a feeling that I am missing
something as the question seems too... | 4 | [
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Bézier curve
A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier
triangle is a special case.
In vector graphics, Bézier curves are used to model smooth curves that can be sca... | 4 | [
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0.01... | 39,644 | 39644 | |
Lecture No
Lecture No. 1
Foundations of Engineering Economy
1. Why Economics Is Important to Engineers
A. Definition
Definition: Engineering Economy involves:
Formulating
Estimating
Evaluating
The economic outc... | 4 | [
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Krypto Game Analysis
Krypto Game Analysis
Krypto is a game which five cards are put down each with a number on it from one to twenty-five. Using normal arithmetic operations ( +, -, * , / ) on these five cards to equal a sixth card that is
also from one to twenty-five.
An example game:
Game: 2 4 3 6 5 ... | 4 | [
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diyAudio - Transient-"perfect" 2nd/1st order crossover
diyAudio
(
http://www.diyaudio.com/forums/
)
-
Full Range
(
http://www.diyaudio.com/forums/full-range/
)
phase_accurate 9th July 2007 12:37 PM
Transient-"perfect" 2nd/1st order crossover
2 Attachment(s)
What I am going to present here is an old inc... | 4 | [
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elements in extension
May 5th 2008, 02:09 AM
hunkydory19
elements in extension
g = X^3 + X + 1
Let E be the extension of F2 with a root alpha of g. Write down a complete list of elements of E without repetitions.
I've tried by best at this question, but I still don't feel that I fully understand what I... | 5 | [
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0.0037841796875,
-0.0089111328125,
-0.1533203125,
0.03369140... | 39,648 | 39648 | |
finite surjective morphism to the projective line
up vote 1 down vote favorite
Let X a smooth projective curve over $\mathbb{C}$. We fix $d$ distinct closed points $x_{1},\dots,x_{d}$.
Can we find a finite surjective morphism $\pi:X\rightarrow\mathbb{P}^{1}$ and local uniformizers on $\mathbb{P}^{1}$, $t_{1},\dots,t_... | 5 | [
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0.0078125,
0.0174560546875,
-0.00604248... | 39,649 | 39649 | |
On matrices in linear forms with vanishing determinant
up vote 2 down vote favorite
This is a cross-post from my original question at math.se. I decided to post here because it seems more difficult than I originally thought.
Let $R=\mathbb C[x_1,\ldots,x_r]$ be a polynomial ring. Assume that $f_{ij}\in R$ are homogen... | 5 | [
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-0.0008010864257812... | 39,650 | 39650 | |
Find the general solution to the equation 2u_x + u_xy = 0
November 19th 2011, 11:22 AM #1
Junior Member
Joined
Jan 2010
Posts
50
Find the general solution to the equation 2u_x + u_xy = 0
where u_x is u(x,y) differentiated with respect to x and u_xy is u(x,y) twice differentiated with respect to x and wit... | 5 | [
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0.095703125,
-0.027099609375,
-0.036376953125,
-0.04... | 39,651 | 39651 | |
[SOLVED] Proving a function is one-to-one
April 12th 2009, 10:14 AM #1
Junior Member
Joined
Apr 2009
Posts
70
[SOLVED] Proving a function is one-to-one
Hey guys,
I am trying to prove the following function is one-to-one and onto.
D=Q\{4}, R=\{2} and F
Here is my work so far:
One-to-One... | 4 | [
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0.05712890625,
-0.02209472... | 39,652 | 39652 | |
eigen valuese of nXn of all 1 to have trangle of zeros form
July 4th 2011, 12:14 PM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
eigen valuese of nXn of all 1 to have trangle of zeros form
i have nxn matrice of 1 in each member
i
i need to make triangle of zeros on the bottom
to find the p... | 4 | [
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-0.06689453125,
-0.... | 39,653 | 39653 | |
ransformers
Quarter-wave transformers
Upda... | 4 | [
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-0.0202... | 39,654 | 39654 | |
Writing an equation to catenary curve.
A catenary curve is an idealised hanging chain or cable. The curve is the graph of a hyperbolic cosine function and is similar in appearance to a parabola. The equation of a catenary can be
expressed in two ways: y = c cosh (x/c) or y = 2/a (e^bx + e^-bx)
To find the ... | 5 | [
-0.038330078125,
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A Numerical Second Derivative from Three Points
In practice, these points could represent measured data that we want to analyze like weather patterns or financial data. We will see that the second derivative is a linear combination of the three
points.
Label the x and y coordinates for the three points and use the fin... | 4 | [
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Math Forum Discussions - Re: Induction proof
Date: Aug 18, 2006 11:46 AM
Author: Torsten Hennig
Subject: Re: Induction proof
>Hi Torsten, thank you for your reply however you're >solving a different
>problem here. It appears that you've introduced a -1/n >to the right of
>the inequality for your convinience. That isn'... | 5 | [
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Sums of arctangents
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
$$ \arctan(x) & = \arctan(1) + \arctan\left(\frac{x-1}{2}\right) \\ & {} - \arctan\left(\frac{(x-1)^2}{4} \right) + \arctan\left(\frac{(x-1)^3}{8}\right... | 5 | [
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Quandaries & Queries at Math Central
149 items are filed under this topic.
Fencing around a 6 2014-07-10
sided property
Hi, I've tried every way to figure this out and looked at your other acreage questions and still don't have an answer. It's my Birthday today and it would make me so happy to figu... | 4 | [
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0.0654296875,
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-0.0155029... | 39,659 | 39659 | |
Bivariate distribution
For two random variables X and Y, Prove that $1.E(X)=E[E(X/Y)]<br /> 2.V(X)=E(V(X/Y)]+V[E(X/Y)]$
This notation is unsatisfactory. You are using / rather than | to denote a conditional "thing". You have a joint distribution $p(x,y)$ for you RV's, then: $E(X)=\int \int x \;p(x,y)\; dy dx$ Also $E
... | 4 | [
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... | 39,660 | 39660 | |
what is the meaning of "inseparable" in this case
up vote 4 down vote favorite
1
Let $i:T^{2}\rightarrow S^{1}\times S^{2}$ be an embedding map. If $i(T^{2})$ is inseparable in $S^{1}\times S^{2}$, then $S^{1}\times S^{2}-i(T^{2})\cong (O\cup K)^{c}$. Here $(O\cup K)^{c}$ is a
two components link complement in $S^{3}$... | 4 | [
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Divisibility of (n^5 - n) by 30
April 11th 2011, 10:19 PM
wik_chick88
Divisibility of (n^5 - n) by 30
hey guys am having major problems with this question:
show that $n^5 - n$ is always divisible by 30
i tried mathematical induction, which would have worked if it needed to be divisible by 10, but not 30!... | 4 | [
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Sharp upper bounds for sums of the form $\sum_{p \mid k} \frac{1}{p+1}$
up vote 1 down vote favorite
1
Are there known sharp upper bounds (in terms of $k$ or $\omega(k)$, the number of distinct prime divisors of $k$) for sums of the form $\sum_{p \mid k} \frac{1}{p+1}$ for $k > 1$ subject to the
constraint $\sum_{p \... | 5 | [
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Limits w/ Lhopitals Urgent help:
March 11th 2007, 08:42 AM
^_^Engineer_Adam^_^
Limits w/ Lhopitals Urgent help:
http://rogercortesi.com/eqn/tempimagedir/eqn7579.png
Evaluate the lim
1.) No matter how I use Lhopital its always undefined because of the e
answer at the book for this is 0
2.) Helpp.... | 5 | [
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-0.... | 39,664 | 39664 | |
Distribution function of a random variable X
March 15th 2011, 10:16 AM #1
Member
Joined
Feb 2011
Posts
83
Thanks
2
Distribution function of a random variable X
The distribution function of $X$ is given by
$F(b) = \\$
$0$ if $b < 0 \\*$
$\frac{b}{4}$ if $0 \leq b < 1\\$
$\frac{1}{2... | 5 | [
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Amenable exponential growth
up vote 3 down vote favorite
2
Dear forum members,
Does anyone have a clear example of an amenable group with exponential growth?
Is real that if G is virtually amenable (has an amenable subgroup of finite index) then it is amenable?
I am sort of novice in advanced group theory. All your... | 5 | [
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Simplifying Answers
Date: Sat, 17 Dec 1994 20:33:07 AST
Comments: NB*net - New Brunswick's Regional Network
1-800-561-4459
From: Richard Seguin
How do you answer Questions like this?
[(m "to the power of -3" n "to the power of -2" p) (m "to the power of 2" n)
(M n "to the power of 2"]"to the power of 5".
It's k... | 4 | [
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-0.0... | 39,667 | 39667 | |
Lotka-Volterra Model
From MathBio
Lotka-Volterra Model
Introduction
The Lotka-Volterra equations are a pair of first order, nonlinear, differential equations used to describe the interaction dynamics between two species of organisms that have a predator-prey
relationship. Despite the name, this set of differential... | 4 | [
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[SOLVED] convergence in probability
February 20th 2010, 01:02 AM
Statistik
[SOLVED] convergence in probability
Hi,
I've been banging my head against the wall for too many hours and would love a hint... I'm looking to show that
$<br /> \frac {1} {n} \sum {(x_i - \overline{x_n})*(y_i - \overline{y_n})} \... | 5 | [
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Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: How WM is cheating - fat Cantor set measure
Replie... | 4 | [
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Proving with exponents
January 9th 2011, 05:32 PM #1
Newbie
Joined
Jan 2011
Posts
1
Proving with exponents
Proving identities of any sort has never been my strongpoint. No, this is not trig identities. I have attempted to figure out this problem multiple times with rearranging and such and I have yet
... | 4 | [
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Posts from September 2009 on Aaron Meurer's SymPy Blog
Google Summer of Code 2009 Wrap Up
September 7, 2009
Sorry about the extreme delay with this. I of course have been busy with classes.
Note that this will just be a summary of the summer, with my comments looking back on it. If you want more details on each indi... | 4 | [
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... | 39,672 | 39672 | |
trigonometry: simplifying
cos^2C-sin^2C/cosC - sinC C is an angle thanks so much
that was very helpful. Could you please explain why that last step simplifies that way? thanks.
I'm canceling the particular numerator with the denominator. I'll give u a similar example, $\frac{x^2 -9}{x-3} = \frac{(x-3)(x+3)}{(x-3)} = ... | 4 | [
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"Axiom of global choice"
up vote 6 down vote favorite
4
In some books on category theory (for example, in J.Adámek, H.Herrlich, E.Strecker "Abstract and concrete categories...") the authors use the idea of "big sets" ("conglomerates" or "collections")
which can contain classes (as far as I understand, in the Goedel-Be... | 4 | [
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0.001495361328... | 39,674 | 39674 | |
When is PSU(2,q^2) = PSL(2,q) ?
up vote 1 down vote favorite
The context for this question is from page 284 - 287 of Berger's paper: http://pdn.sciencedirect.com/science?_ob=MiamiImageURL&_cid=272332&_user=209810&_pii=S0021869398976785&_check=y&_origin=article
&_zone=toolbar&_coverDate=1999--01&view=c&originContentFam... | 4 | [
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-0.049560546875,
-0.071... | 39,675 | 39675 | |
Does the Deligne-Mumford space module $S_{n}$ action have a fundamental chain?
up vote 0 down vote favorite
Does the Deligne-Mumford space (without ordering for marked points) $\bar M_{g,n}/S_{n}$ has fundamental chain in signular simplicial chains? (because I read Costello's paper GW potential to TCFT, as
a orbifold,... | 4 | [
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0.05615234375,
-0.00921630859375... | 39,676 | 39676 | |
Posts about Glueball spectrum on The Gauge Connection
One of the more questionable points I have discussed so far is: What are QCD asymptotic states at very low momenta? This question is not trivial at all. If you will speak with experts in this
matter, a common point they will share is that gluons carry color charge ... | 4 | [
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0.037841796875,
0.09375,
-0.072265625,
-... | 39,677 | 39677 | |
Please help... challenging Integral Question
November 19th 2007, 08:16 PM #1
Newbie
Joined
Nov 2007
Posts
10
Please help... challenging Integral Question
Hi Guys,
Sorry to bother you again. Please look at the question below. I only managed to find part (i). Please advice me on how to find part ii an... | 5 | [
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0.02587... | 39,678 | 39678 | |
eigenvalues and invertible matrix
September 20th 2012, 04:55 AM
nivek0078
eigenvalues and invertible matrix
Hello I'm having some issues with this current problem and I'm hoping that someone can help.
The problem states: Given A is an n x n invertible matrix such that lamda is equal to 1 is not an eigenvalu... | 5 | [
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0.037109375,
0.0194091796875,
-0.09277... | 39,679 | 39679 | |
vertical asymptotes
July 6th 2006, 04:24 PM
Lane
pretest 6 math questions
Find the horizontal asymptote of the graph f(x)= 2/x-4
A: y=2 B: x=0 C: x=4 D: y=0
Find the vertical asymptote(s) if any, for f(x)= 4x-4/x2-5x-6
A: x=-1, x=6, x=4 B: x=-1, x=6 C: x=4, x=-1 D: none
Find the zeros of the ... | 4 | [
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0.0419921875,
0.0166015625,
0.0927734375,
-0.0125732421875,
-0.0908203... | 39,680 | 39680 | |
˚F to ˚C. New estimated regression line?
December 6th 2008, 02:41 PM
yvonnehr
˚F to ˚C. New estimated regression line?
GIVEN:
x=˚F, y= deflection adjustment factor (y≥0)
n=15 ∑x(sub i)=1425 ∑y(sub i)=10.68
∑x²(sub i)=139,037.25 ∑x(sub i)y(sub i)=987.645
∑y²(sub i)=7.8518
QUESTION
c. Supp... | 4 | [
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-0.052978515625,
-0.063964843... | 39,681 | 39681 | |
E.W.Dijkstra Archive: The problem of the most isolated villages (EWD 440)
The problem of the most isolated villages.
We consider n villages (n > 1), numbered from 0 through n–1; for 0 ≤ i < n and 0 ≤ j < n, a computable function f(i, j) is given, satisfying for some given positive constant M:
for i ≠ j : 0 < f(i, j) ... | 4 | [
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0.0908203125,
0.014892578125,
-0.033... | 39,682 | 39682 | |
Solid of revolution
February 17th 2009, 04:45 AM
Db0ne
Solid of revolution
I have to go around and find the volume of a silo-shaped trash can using solid of revolution
height 91cm
Circumference 119.3cm
Diameter 15cm
http://common.csnstores.com/United-R...R~UR1180_l.jpg is what the trash can looks... | 5 | [
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Elementary / Interesting proofs of the Nullstellensatz
up vote 21 down vote favorite
30
Is there an easy proof of the Nullstellensatz that avoids the standard Noether-normalization techniques?
One proof I know proves first the 'weak' Nullstellensatz which ensures that maximal ideals correspond to points (using normal... | 4 | [
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0.10595703125,
-0.... | 39,684 | 39684 | |
Arithmetic Prove
April 13th 2009, 08:33 PM #1
Newbie
Joined
Mar 2009
Posts
6
Arithmetic Prove
IMPORTANT: Number and explain (in english) your steps.
Prove that, every square number has either the form 4q or 4q + 1 for some integer q.
Use formats of sqrt(x) for √x and x^k for xk
Added to t... | 4 | [
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0.041015625,
... | 39,685 | 39685 | |
measurable sets,
December 15th 2010, 08:53 PM #1
Junior Member
Joined
Jan 2009
Posts
57
measurable sets,
Hi,
I am struggling to provide sound mathematical proofs for these. Intuitively it's pretty straight forward.
Prove that the following sets is measurable and has zero area.
1) A set of a... | 5 | [
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-0.07470703... | 39,686 | 39686 | |
Walkthrough Algebra Factoring
July 30th 2010, 03:20 PM #1
Newbie
Joined
Jul 2010
Posts
1
Walkthrough Algebra Factoring
i checked a book out of the library entitled coles notes how to get an A in senior algebra, the very first chaptor is on factoring, so i assume that this belongs here, at the end of the ... | 4 | [
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0.058... | 39,687 | 39687 | |
Re: could someone help me identify a number?
• From: Raymond Manzoni <raymman@xxxxxxx>
• Date: Sat, 14 May 2011 13:56:44 +0200
Le 14/05/11 12:21, Franz Gnaedinger a écrit :
Could someone help me identify a number,
the limit of the series
1/(1x4) + 1/(7x10) + 1/(13x16) ... ?
In my simpler notati... | 5 | [
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-0.03955078125,... | 39,688 | 39688 | |
Which of the following intervals must contain a root of
2x^3-x^2-x -3 = 0
–1 - Homework Help - eNotes.com
Which of the following intervals must contain a root of
2x^3-x^2-x -3 = 0
1. –1 <x < 1
2. 0 <x < 2
3. 1 <x < 3
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
This is a polynomial ... | 4 | [
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-0.066... | 39,689 | 39689 | |
Find d such that f(x) converges
October 26th 2009, 08:15 AM #1
Member
Joined
Sep 2009
Posts
151
Find d such that f(x) converges
EDIT: I see now to late that the title of the thread says: "Find d..." , but it is supposed to be: "Find c..."
Let:
$f(x)=x-(4+x^4+x^6)^c$
The question is, what is... | 5 | [
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-0.00019550323486328125,
0.00384521484375,
-0.08349609375,
0.004302978515625,
0.0061645507... | 39,690 | 39690 | |
On the Lonely Runner conjecture for prime number of runners
The formulation of the problem can be found here, here, or here.
Conjecture Suppose $p$ runners having distinct constant speeds start at a common point and run laps on a circular track with circumference 1. Then for any given runner, there is a time at which... | 4 | [
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-0.00023... | 39,691 | 39691 | |
Conditional expectation of t-distribution given chi sq?
August 26th 2009, 04:32 AM #1
Junior Member
Joined
May 2009
Posts
25
Conditional expectation of t-distribution given chi sq?
Given that $U$ ~ $\chi^{2}_{n-1}$, $T$ ~ $t_{n-1}$ and $Z$ ~ $N(0,1)$, I need to find $E(T|U)$ and $Var(T|U)$ and hence dedu... | 5 | [
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Math Forum Discussions
Re: Ariadne's thread
Posted: Jan 19, 2012 2:35 AM
RMP 46 and 47
Two square containers measure
10 by 10 by 3 '3 royal cubits
10 by 10 by 5 royal cubits
I am assuming that the floor of each container measures
10 by 10 royal cubits. Now let me inscribe an octagon
in that square:
(ASCII drawing ... | 4 | [
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0.0... | 39,693 | 39693 | |
Math Forum Discussions
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Topic: compact
Replies: 9 Last Post: May 18, 2013 9:56 PM... | 5 | [
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0.0247802734375,
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-0.023193359375,
-0.054... | 39,694 | 39694 | |
Cauchy Sequences
Date: 09/11/97 at 02:49:34
From: Suzanne Mooney
Subject: Cauchy Sequences
Hi,
I'm trying to prove that every Cauchy sequence has a sequential limit
point. I don't have a real proof, but an idea, but don't know if it's
right, and if it is, how to formulate it.
My idea is that, for some N a positive... | 4 | [
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0.046142578125,
-0.037841796875,
0.061279296875... | 39,695 | 39695 | |
simple gcd proofs
June 12th 2011, 05:39 AM #1
Member
Joined
Apr 2008
Posts
204
simple gcd proofs
(a) prove that gcd(a,b,c) = gcd(a,gcd(b,c))
(b) a,b,c $\in$ N, with gcd(a,b) = gcd(a,c) = gcd(b,c). prove that gcd(a,b,c) = 1
(c) find a,b,c $\in$ N with gcd(a,b,c) = 1 but gcd(a,b), gcd(a,c), gcd(b,c... | 4 | [
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0.04638671875,
0.0245361328125,
-0.0235595703... | 39,696 | 39696 | |
Tetrahedron angles sum to $\pi$: Bisector plane
up vote 5 down vote favorite
I discovered empirically what to me is an amazing lemma concerning face angles of a tetrahedron. Let $\triangle abc$ be a triangle in the $xy$-plane, and $d$ the apex of a tetrahedron with positive
$z$ coordinate. The lemma is this:
Lemm... | 5 | [
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Calculus and Ladders.
April 30th 2011, 06:39 PM #1
Newbie
Joined
Apr 2011
Posts
13
Calculus and Ladders.
A ladder 20 ft long is leaning against a wall. If the foot of the ladder is being pulled away from the bottom of the wall at a rate of 4 ft per second. At what rate is the top of the ladder
moving... | 4 | [
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Psychology research
least squares method
a method of calculating the line of best fit using the distance each point is from the line of best fit
Pearson product-moment correlation coefficient
a measure of how well the regression equation fits the data
If we use knowledge of SAT scores to predict his or her GPA. wHA... | 4 | [
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