content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
SYLVESTER'S MATRIX THEOREM
Next: MATRIX FILTERS, SPECTRA, AND Up: Matrices and multichannel time Previous: REVIEW OF MATRICES
Sylvester's theorem provides a rapid way to calculate functions of a matrix. Some simple functions of a matrix of frequent occurrence are N large). Two more matrix functions which are ve... | 4 | [
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0.003692626953125,
-0.041748046875,
0.0649414... | 39,200 | 39200 | |
Math Help
February 27th 2008, 04:16 PM #1
Junior Member
Joined
Feb 2008
Posts
61
Tangents
Hi, I am having trouble getting equation to tangent lines for functions, I compute the derivative first but then don't have a clue what to do after, or where to plug in/substitute the specified
values. Here are... | 4 | [
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0.0216064453125,
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0.09765625,
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-0.038330078125,
... | 39,201 | 39201 | |
Axiomatizing closeness: the reciprocal triangle inequality
up vote 2 down vote favorite
1
Is there a chance to make a sound argument for the triangle inequality - characterizing distances - from general considerations only, e.g. like this:
Given arbitrary distances $d(x,y)$ and $d(y,z)$ the distance $d(x,z)$ cann... | 4 | [
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0.11572265625,
-0.009... | 39,202 | 39202 | |
partitioning the 3-sets of [n]={1,...,n} into families
up vote 6 down vote favorite
4
Let $F_1,...,F_m$ be a partition of the 3-element subsets of $[n]$ into families such that no three subsets in any one family $F_i$ are all contained in one 4-element subset of $[n]$. What is the
minimum value of $m$?
co.combinatori... | 5 | [
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0.05712890625,
-... | 39,203 | 39203 | |
Pre-Image / Image proof
March 8th 2012, 07:26 PM #1
Junior Member
Joined
Dec 2008
Posts
70
Pre-Image / Image proof
I'm new to topology and have a pretty basic proof to perform but haven't had much experience with proofs and could use some help,
Question asks, to prove that if f: A -> B and X is a su... | 4 | [
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0.0174560546875,
-0.01623... | 39,204 | 39204 | |
Infinitesimal deformations of a discrete group inside Lie groups vs. algebraic groups
up vote 2 down vote favorite
Let $G$ be an algebraic group with Lie algebra $\mathfrak g$ and let $\Gamma$ be any finitely generated (discrete) group. One can consider the representation variety $\mathfrak R=\mathrm{Hom}(\
Gamma,G)$.... | 4 | [
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0.0620117... | 39,205 | 39205 | |
Calculus Defrentiation
January 31st 2009, 07:56 PM
notoriousmc
Calculus Defrentiation
Can anyone show me how to defrentiate these 4 functions please:)
(3x^2-4x)^3
(x^2+2)(2x^3-5x^2+4x)
sqrt X - 3rd square root x not 3(sqrt x) but the 3 is very small and close to the square root sign
and 3x/x^... | 5 | [
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0.06689453125,
-0.044677734375,
0.09326171875,... | 39,206 | 39206 | |
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Topic: CON(ZF) and the ontology of ZF
Replies: 5 Last Pos... | 4 | [
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... | 39,207 | 39207 | |
Lemma that is used for L'hospital's rule
April 10th 2011, 12:08 PM #1
Member
Joined
Mar 2008
Posts
78
Lemma that is used for L'hospital's rule
This proof is left as an exercise in the book:
Suppose that g is continuously differentiable in an interval about $x_0$ and $g(x_0) = 0$. If $g'(x_0) eq 0$, ... | 4 | [
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0.00726318359375,
... | 39,208 | 39208 | |
System of linear equations
November 11th 2009, 04:15 PM
dkpeppard
System of linear equations
I've worked through this one, but I must be doing something wrong because my answer is not coming out correctly. I need to solve this system of linear equations and will be using the addition
method to eliminate one ... | 4 | [
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Wald-Wolfowitz runs test
Talk0
34,135pages on
this wiki
The runs test (also called Wald-Wolfowitz test) is a non-parametric test that checks the randomness hypothesis of a data sequence.
A 'run' is a sequence of adjacent equal symbols. I.e. the following sequence: ++++---+++--++++++---- is divided in six runs, thre... | 4 | [
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Cross-Cornering a Shape to Make it Square
Date: 12/19/2002 at 22:52:31
From: Tim Barker
Subject: Cross cornering a shape to make it square
At my work we lay out buildings. Lets say we lay out a building that
is 30' x 40'. When you cross corner it to see if it is "square" there
is a 6" difference. What is the equation... | 5 | [
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0.087890625,
-... | 39,211 | 39211 | |
Ruelle Perron Frobenius Operator
up vote 1 down vote favorite
2
Hello everybody! Recently in my research, I came across the Perron-Frobenius operator .. I would like to intuitive interpretation of this operator, ie, physical interpretations are possible, articles
(can be physical). I wonder how this operator originate... | 4 | [
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0.02978515625,
0... | 39,212 | 39212 | |
Prove that any element of GL2(Z)
November 9th 2009, 01:59 PM #1
Junior Member
Joined
Sep 2009
Posts
27
Prove that any element of GL2(Z)
Prove that any element of GL2(Z) of finite order has order 1,2,3,4, or 6.
Extend this to GL3(Z), and show that it fails in GL4(Z).
Thanks for your help!
He... | 5 | [
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... | 39,213 | 39213 | |
derivative of |x|
November 20th 2008, 02:02 PM #1
Newbie
Joined
Nov 2008
Posts
19
derivative of |x|
I'm asked to find the derivative of f(x)=x|x| at the point (0,0).
Would I do this using the definition of absolute value? o_O
hi
Uhm, is it meant to say $f(x) = x|x|$ , and not
$f(x) = |x|$ ... | 4 | [
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0.072265625,
-... | 39,214 | 39214 | |
Cube Root Algorithm in Matlab
September 27th 2009, 02:37 PM #1
Newbie
Joined
Sep 2009
Posts
3
Cube Root Algorithm in Matlab
Code:
function[p0,err,k,y]=newton(f,df,p0,delta,epsilon,max1)
%Input - f is the object function input as a string 'f'
% df is the derivative of f input as a s... | 4 | [
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0.02453613... | 39,215 | 39215 | |
The Birthday Problem; Queueing at a Bank
Date: 08/26/99 at 09:52:06
From: Sophia
Subject: Probability
I am having an awful time figuring out probability! Can you please
help?
1. In a gathering of 23 people, what is the probability that at least
two people have the same birthday? Assume a 365-day year.
I figure ... | 5 | [
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Math Help
May 3rd 2009, 07:49 PM #1
Newbie
Joined
May 2009
Posts
5
Volume
A box with no top must have a base twice as long as it is wide, and the total surface area of the box is to be 54 ft^2. What is the maximum possible volume of such a box?
Width=X
Base=2*X
Height=Y
Surface area w/... | 5 | [
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Lower Degree Elements in an Algebraic Number Field
up vote 1 down vote favorite
Fix an algebraic integer $\alpha$ of degree $n$ such that the extension $K=\mathbf{Q}(\alpha)/\mathbf{Q}$ has intermediate fields. (We can assume $K$ is Galois with non-simple Galois group.) This $\
alpha$, by its powers, gives rise to a c... | 4 | [
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0.... | 39,218 | 39218 | |
Formula for the Extraction of a Digit
Date: 06/18/2001 at 17:44:15
From: Jake
Subject: Formula for the Extraction of a Digit in a Number
Is there a formula to extract any digit of a given number? For
example, a formula that could be used to calculate the tens digit
of 374, or the thousands digit of 3,289.
I know ho... | 4 | [
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0.08056640625... | 39,219 | 39219 | |
Help with Poisson Distribution!
March 9th 2009, 11:08 PM #1
Newbie
Joined
Mar 2009
Posts
17
Help with Poisson Distribution!
The mean of a Poisson random variable X is μ = 9. Compute
P(μ-2σ < X < μ + 2σ).
My reasoning is as follows:
P(9-2(9) < X < 9 + 2(9)) = P(-9 < X <27) . This is all I ca... | 5 | [
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0.04052734375,
-0.01... | 39,220 | 39220 | |
non-vanishing magnetic helicty density
up vote 8 down vote favorite
1
Suppose you are given a nowhere-vanishing exact 2-form $B=dA$ on an open, connected domain $D\subset\mathbb{R}^3$. I'd like to think of $B$ as a magnetic field.
Consider the product $H(A)=A\wedge dA$. At least in the plasma physics literature, $H(A... | 4 | [
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-0.0... | 39,221 | 39221 | |
Setting Up Equation
August 18th 2010, 07:43 AM #1
Newbie
Joined
Aug 2010
Posts
2
Setting Up Equation
I'm having trouble setting up an equation for this question, and would appreciate any help! I think I'll be okay once I have an equation, but I can't even get it started
A, B, C and D are posts on th... | 4 | [
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... | 39,222 | 39222 | |
Open Ball
January 26th 2010, 01:40 PM
Showcase_22
Open Ball
Quote:
Prove that a subset of a metric space is open iff it is a union of open balls.
So I did this:
Suppose a subset of a metric space is open.
Let $(X,d)$ be a metric space.
Let $U \subset X$
Then there exists some $\varepsi... | 4 | [
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0.00799560546875,
-0.059814... | 39,223 | 39223 | |
How to check numerical precision of my computation of Stieltjes-constants?
up vote 3 down vote favorite
1
In a thread in MSE I proposed an older routine of mine for the efficient computation of coefficients; I use a very similar routine for the quick&dirty computation of the Stieltjes-constants.
This motivated me to ... | 4 | [
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-0.03466796875... | 39,224 | 39224 | |
Find the general solution to the equation 2u_x + u_xy = 0
November 19th 2011, 11:22 AM
feyomi
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 with respect to y
How would I go about so... | 5 | [
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-0.032958984375,
-0.0161... | 39,225 | 39225 | |
Calculating the following integrals
April 19th 2010, 07:58 PM #1
Junior Member
Joined
Jan 2010
Posts
30
Calculating the following integrals
Hullo,
I need some help calculating the following integrals:
$\lim_{x\to 0}\; \dfrac{1}{x} \int_0^x\; e^{t^2}\; dt<br />$
and this one:
$\lim_{h\... | 4 | [
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-0.007049560546875,
0.03491210... | 39,226 | 39226 | |
Basic linear
April 1st 2010, 03:14 AM
Henryt999
Basic linear
Hi!
Iīm having some issues solving this equation system.
$x_1+x_2+2x_3 = 3$
$x_1-x_2+8x_3 = -1$
$2x_1+3x_2+x_3 = 8$
Nomatter what I do I cant eliminate the 2 terms to get one of the unknows alone. No problem eliminating 1 term th... | 5 | [
-0.1064453125,
-0.01171875,
0.013671875,
-0.017822265625,
0.055908203125,
-0.04443359375,
0.002471923828125,
-0.0228271484375,
-0.025634765625,
0.034912109375,
0.1103515625,
-0.0732421875,
0.06396484375,
-0.0751953125,
-0.0167236328125,
0.06591796875,
-0.03662109375,
-0.00382995605... | 39,227 | 39227 | |
Informational extensions in the game theory
Author: Novac Ludmila Status
Degree: doctor of physics and mathematics
Speciality: 01.01.09 - Mathematical cybernetics and operation research The thesis was presented on the 25 March, 200... | 4 | [
0.0166015625,
0.00823974609375,
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0.046142578125,
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0.00927734375,
-0.04516601... | 39,228 | 39228 | |
Basics: The Electrostatic Interaction
Pre Reqs: vectors, forces
This is typically the first topic in the second semester of introductory physics – the interaction between objects with electric charge. There are 4 fundamental forces that physics typically looks
at:
• Gravity – an interaction between objects with mas... | 4 | [
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... | 39,229 | 39229 | |
Calculating the Shortest Flight Path
Date: 10/30/97 at 20:48:26
From: Phil
Subject: Calculate angle between two places
Using flight simulator, flying long distance between two points with
given latitude/longitude, calculate the flight path (angle) which is
the shortest route.
Is this spherical trigonometry or can i... | 5 | [
0.0255126953125,
0.040283203125,
-0.05078125,
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-0.012939453125,
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-0.060302734375,
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-0.057373046875,
0.... | 39,230 | 39230 | |
What are conditions to make f(x) defined by f(x)=f(x-1)*x + 1/e unique(for instance convex)?
up vote 2 down vote favorite
2
[Background:] Looking at the powerseries for the gamma-function
$ \Gamma(1+x) = 1 + a_1 x + a_2 x^2 - a_3 * x^3 + ... $
then we can arrive at a decomposition
$ \Gamma(1+x) = r(x) + g(x) $
whe... | 4 | [
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-... | 39,231 | 39231 | |
Newton’s Third Law of Motion: Symmetry in ForcesNewton’s Third Law of MotionGetting Up To Speed: Choosing the Correct SystemForce on the Cart—Choosing a New SystemPhET Explorations: Gravity Force LabSection SummaryConceptual QuestionsProblem Exercises
http://cnx.org/content http://cnx.org/content/m42074/latest/ m42074 ... | 5 | [
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-0.05419921875,
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-0.00311279296875,
0.0371... | 39,232 | 39232 | |
A geometric view of the square root algorithm
A. Grzesina
... | 4 | [
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Lecture Notes series_On_Antennas_L15_LINEAR ARRAY THEORY - PART I
LECTURE 13: LINEAR ARRAY THEORY - PART I
(Linear arrays: the two-element array. N-element array with uniform amplitude
and spacing. Broad-side array. End-fire array. Phased array.)
1. Introduction
Usually the ... | 5 | [
0.03857421875,
0.04150390625,
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0.0341796875,
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-0.05078125,
-0.0... | 39,234 | 39234 | |
Uniform and Exponential Distribution of Random Variables
Date: 01/16/2006 at 16:49:00
From: troy
Subject: Relationship between uniform distrib and exponential distrib
I've seen statements claiming if you take the natural log of a
uniformly distributed random variable, it becomes a exponentially
distributed random var... | 5 | [
-0.07568359375,
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-... | 39,235 | 39235 | |
Two complex number problems!
November 29th 2009, 04:38 PM #1
Newbie
Joined
Nov 2009
Posts
5
Two complex number problems!
Because it's my first post on this forum, I would like to thank everyone who contributed to create such a wonderful forum.
I have to solve this two problems:
1. Find $Re(z)=?... | 5 | [
-0.046630859375,
-0.005828857421875,
-0.004608154296875,
0.03515625,
0.0184326171875,
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0.04052734375,
0.047607421875,
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0.029541015625,
0.1083984375,
-0.056396484375,
-0.03125,
0.016357421875,
-0.05590820... | 39,236 | 39236 | |
Math Help
October 21st 2008, 07:53 PM #1
Newbie
Joined
Oct 2008
Posts
8
binomials
determine the factors of the following expressions:
(a)h(x+y) + (m+n) (x+y)
(c)x2 - 8x - 20
(d)5x2 + 17x + 6
a) h(x+y)+(m+n)(x+y) ( expand 1st )
hx + hy + mx + my + nx +ny (group all the x and y vari... | 4 | [
-0.021484375,
0.0244140625,
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0.11669921875,
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0.026367187... | 39,237 | 39237 | |
proof of axioms
November 9th 2010, 02:41 PM #1
Newbie
Joined
Nov 2010
Posts
2
proof of axioms
given that set B is ccontained in a set A, show that the probability of A is greater than or equal to that of B
Short proof: All the elements in B are also in A.
Long proof:
$\displaystyle B \subs... | 4 | [
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0.078125,
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0.01007080078125,
-0.... | 39,238 | 39238 | |
Uncertainty
Uncertainty & Probability (revised)
CIS 391 – Introduction to Artificial Intelligence
AIMA, Chapter 13
Many slides adapted from
CMSC 421 (U. Maryland) by Bonnie Dorr
Outline
Uncertainty
Probability
Syntax and Semantics
Inference
Independence and ... | 5 | [
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0.006927490234375,
-0.05029296875,
0.10498046875,
0.04931640625,
-... | 39,239 | 39239 | |
Kolmogorov's "5/3" Law
Posted by: Alexandre Borovik | April 4, 2008
Kolmogorov’s “5/3″ Law
This is a follow-up to my earlier post on “named” numbers; the text is mostly cannibalised from my book; I refer the reader to the book (available for free download) for bibliography, etc.
The famous mathematician Andrei Kolmo... | 5 | [
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0.059... | 39,240 | 39240 | |
Find all integer solutions to an equation
September 6th 2010, 11:25 AM #1
Find all integer solutions to an equation
Whenever I'm confronted with a question bearing the label of 'find all solutions' I almost never know how to solve it algebraically (apologies if I spelt that incorrectly), I always have to
reso... | 4 | [
-0.007049560546875,
0.10546875,
0.033935546875,
0.005584716796875,
0.05908203125,
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-0.00909423828125,
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0.033447265625,
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0.0164794921875,
... | 39,241 | 39241 | |
Arc Length and Curvature (3D vectors)
February 19th 2009, 02:36 PM #1
Junior Member
Joined
Sep 2008
Posts
27
Arc Length and Curvature (3D vectors)
Let C be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. Find the exact length of C from the origin to the point (5, 25/... | 4 | [
-0.0634765625,
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0.06494140625,
-0.1064453125,
-0.00582... | 39,242 | 39242 | |
Complex Number Help
August 29th 2012, 12:15 AM #1
Newbie
Joined
Aug 2012
From
Singapore
Posts
19
Complex Number Help
Hi guys, I am totally lost in my class and am not sure about this tutorial. Help please...
Solve the equation : $z^{6}-1=[64j(1-j)/(1+2j)]^6$ giving your answers in the form of a ... | 5 | [
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0.0322265625,
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0.00... | 39,243 | 39243 | |
Multiplying and Dividing Fractions
Associated Topics || Dr. Math Home || Search Dr. Math
Multiplying and Dividing Fractions
... | 4 | [
0.0186767578125,
0.125,
0.061767578125,
0.0296630859375,
-0.03564453125,
-0.035400390625,
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0.0537109375,
-0.0252685546875,
0.0245361328125,
-0.0322265625,
0.12890625,
-0... | 39,244 | 39244 | |
Martingales - Explaination.
Hi all!
I've got a problem with a question at the moment and i was wondering if you could clarify it? Thanks =)
Let $X_{n}$ = $X_{0}$ + $\sum^n_{i=1}$$Y_{i}$ be a random walk.
Suppose that $t^*$ > 0 such that $m(t^*) = 1$ where $m(t)=e^{tY_{i}}$ is the moment generating fu... | 4 | [
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0.05615234375,
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0.00665283203125,
0.09228515625,
0.017822265625,
-0.0114135742... | 39,245 | 39245 | |
Prime number
If 1+2^n+4^n is prime then prove that n is 3^k.Both variables are natural numbers. Help would be appreciated.
What have you tried so far? My gut is telling me to use the division algorithm $n = 3^k q + r$. Then since the order of 2 in the multiplicative group of $\mathbb{Z} / 3^{k+1}\mathbb{Z}$ is known t... | 4 | [
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0.0230712890625,
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0.0732421875,
0.035400390625,
-0.03271484375,
-0.037109375,
0.0283203125,
-0.02... | 39,246 | 39246 | |
Converting Square Feet to Acres
Date: 05/26/98 at 02:04:45
From: jim poarch
Subject: Math conversion
How much acreage is 10,000 square feet of land?
Date: 05/26/98 at 11:57:43
From: Doctor Barrus
Subject: Re: Math conversion
Hi, Jim!
In answering your question, the following conversion facts are useful:
1 ac... | 4 | [
0.02001953125,
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-0.039794921875,
-0.004302978515625,
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0.038818359375,
0.059814453125,
-0.0286865234375,
0.0634765625,
-0.0478515625,
0... | 39,247 | 39247 | |
The Reflection of a Line
Date: 04/21/98 at 16:02:13
From: Jessica
Subject: Vector equation
Determine a vector equation of the REFLECTION of the line:
r(vector) = (0,2,5) + t(-1,1,3) in the plane x + y + z = 1
Please help me. I have tried for two weeks, negating, switching, and
basically fumbling the number aroun... | 5 | [
-0.1142578125,
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-0.007080078125,
-0.06591796875,
0.0049... | 39,248 | 39248 | |
Extremal curves with a "should pass through" constraint
up vote 2 down vote favorite
3
Given points $P_1,P_2$ on the plane, how do I find the shortest curve from $P_1$ to $P_2$ that passes through a third point $Q$ (which could be anywhere on the plane) ?
I guess the answer should be the line segments $( P_1Q, P_2Q )... | 5 | [
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0.060546875,
-0.054931640625,
-... | 39,249 | 39249 | |
Faster way to work out multiples
March 18th 2013, 04:19 PM #1
Member
Joined
Oct 2011
Posts
170
Thanks
3
Faster way to work out multiples
Hi all, my fractions are not great to be honest but here is my question.
Using addition, solve for a and b:
$4a-6b=15$
$6a-4b=10$
So I find a com... | 4 | [
-0.031982421875,
0.037109375,
-0.0172119140625,
-0.03662109375,
-0.02978515625,
0.07666015625,
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0.033935546875,
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0.140625,
-0.03515625,
0.0576171875,
-... | 39,250 | 39250 | |
Parabola question???
May 3rd 2012, 10:24 PM #1
Newbie
Joined
Nov 2011
From
New Zealand
Posts
9
My question is kind of basic and stupid... but how in the world do you graph THIS question??
I need someone to walk me through it.
y = x^2 - 3x - 4
Should i factorise it or what?? It seems like... | 4 | [
0.06005859375,
-0.047607421875,
-0.0390625,
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0.09521484375,
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0.0908203125,
0.099609375,
0.000732421875,
0.0810546875,
-0.00174713134765625,
-0... | 39,251 | 39251 | |
Assignment _2 Method of Finite Elements II
Assignment #2
Method of Finite Elements II
Consider a MEMS application (micro-electro-mechanical system) where a magnetically sensitive MEMS bar i... | 4 | [
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0.043701171875,
-0.056884765625... | 39,252 | 39252 | |
Inverse Trigonometric Functions
August 25th 2009, 12:22 PM
gtbiyb
Inverse Trigonometric Functions
Show that the equation cos^-1 x = sin^-1 x has only one real root and state its value to 3 s.f.
Could someone please let me kow if this is sufficient!
cos^-1 x = sin^-1 x
sin (cos^-1 x) = x
Let c... | 4 | [
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0.01446533203125,
-0.06591796875,
0.07666015625,
-0.0003643035888671875,
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-0.... | 39,253 | 39253 | |
Better error bounds for partial sums of reciprocals of primes?
up vote 5 down vote favorite
One of Mertens' theorems gives that
$$\sum_{ p \text{ prime,} p \leq k } 1/p - \log{\log{k}} = B + E(k)$$
where $B$ is a constant near $0.26$ in value and $E(k)$ is an error term whose size is dominated by something close to ... | 4 | [
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... | 39,254 | 39254 | |
Dimension of orbits in affine Grassmanian
up vote 3 down vote favorite
1
Let $\mathcal{K} = \mathbb{C}((t)), \mathcal{O}=\mathbb{C}[[t]]$, $G$ be a reductive group, and $\text{Gr}_G=G(\mathcal{K})/G(\mathcal{O})$; there is a left action of $G(\mathcal{O})$ on $\text{Gr}
_G$. Let $X_*(T)=\text{Hom}(\mathbb{C}^{\times},... | 5 | [
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0.0537109375,
-0.00008344650268554688,
-... | 39,255 | 39255 | |
Need to control a curve..
May 7th 2009, 09:27 AM #1
Newbie
Joined
May 2009
Posts
5
Need to control a curve..
I'm afraid I'm a bit of a math cosumer more than a mathametician & I would be very indepted if someone could show me a formula.
I'm working on a computer-graphics application and I need to fa... | 5 | [
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0.0305... | 39,256 | 39256 | |
Subspace
January 14th 2007, 09:16 AM
thesummerofgeorge
Subspace
I need help proving the following:
Let F be any field. Let A be any m x n over F. Suppose that W is a subspace of F^n. Show that the set {Aw:w in W) is a subspace of F^m.
Note that the lowercase w in the above set is the w vector.
Tha... | 5 | [
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Finite extension of projective space
up vote 1 down vote favorite
Let $k$ be an arbitrary field, we work with schemes $X$ of finite type over $k$. Does every irreducible projective scheme have a finite surjective morphism to a projective space $\mathbb{P}^n_k$?.
What if I just assume that $X$ is equidimensional. Does ... | 5 | [
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Logarithmic Equation
August 10th 2008, 05:42 AM #1
Junior Member
Joined
Aug 2008
Posts
65
Logarithmic Equation
I have a problem, whose solution, apperantly, eludes me.
I have chosen to upload it as a .gif file. The second equation is what I get after the obvious substitution and simplification. This ... | 4 | [
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0.0625,
-0.041259765625,
-0.03857... | 39,259 | 39259 | |
Changing limits of integration.
July 20th 2010, 08:41 AM #1
Newbie
Joined
May 2010
Posts
11
Changing limits of integration.
This problem involves a change in variable of the limit of integration.
Consider the area bounded by $y=\frac{8x^2}{\sqrt(1-2x^2)}$, y=0, x=0, and x=.5. A definite integral of ... | 5 | [
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Inequalities help!
October 6th 2006, 07:04 AM
^_^Engineer_Adam^_^
Inequalities help!
Solve the ff inequalities:
need solution set
4.) 2 > -3 - 3x >= -7
5.) 4/x - 3 - 2/x + 7 > 0
6.) 1/(x+1) < 2/(3x - 1)
October 6th 2006, 07:20 AM
topsquark
If what I'm about to do bothers you, please feel f... | 4 | [
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What is the limit of this series?
August 3rd 2011, 03:05 AM #1
Newbie
Joined
Jul 2011
Posts
16
What is the limit of this series?
where a, b and e are constants. g and n are obvious from the sum. How can I find the limit of this series as n approaches infinity? I already tried several approaches, but... | 5 | [
0.00201416015625,
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0.061767578125... | 39,262 | 39262 | |
Square with same Perimeter and Area as a Triangle
Date: 10/16/96 at 1:2:14
From: Todd Edwards - a.k.a mathman
Subject: Square with same perimeter and area as a triangle
Dr. Math:
I am perplexed! I've been hunting for a square/triangle combo with
the same perimeters and areas. Is this possible? I believe this is
... | 4 | [
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0.01513671875,
0.... | 39,263 | 39263 | |
Trig Application Problem
November 28th 2011, 04:48 PM #1
Junior Member
Joined
Mar 2011
Posts
40
Thanks
1
Trig Application Problem
A water wheel with radius 2m has 0.2m submerged and rotates at 5 rev/min. (assume the wheel enters the water at t=0).
Write a sine function describing the hieght abov... | 4 | [
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root of x in denominator and not yet been taught to integrate quotients
November 13th 2011, 01:26 AM
angypangy
root of x in denominator and not yet been taught to integrate quotients
Hello
$\int \frac{3x+1}{\sqrt(2)}$
And I have not yet been taught only basic integration. ie not how to do quotients. So... | 5 | [
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Multivariate Calculus problem. Please help!
May 1st 2007, 04:05 AM #1
ka_rei
Guest
Multivariate Calculus problem. Please help!
Please help me with this problem, as soon as possible.
Find the point on the curve x^2/4 + y^2 = 1 which is as close as possible to the line y = 5 -x.
The hint on the problem sa... | 5 | [
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Heat transfer in the two-box model
The following proved a little long to be just an update to the previous post; I guess one should never say never. Nevertheless I don't anticipate a need for anything more on this model.
First, let's go back to why I've been looking at this at all. Modeling climate is typically done u... | 4 | [
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Card Game Analogous to Monty Hall?
Date: 12/12/2000 at 08:10:55
From: Gabriel Lozano
Subject: New aspect of Monty Hall. 50% proof?
I hope you can help me on this new aspect of the good old Monty Hall
problem. Here is the new problem:
There are three cards in front of you, two that are kings, and one
that's an ace. ... | 4 | [
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Applying Cauchy-Goursat theorem/ doing it the "hard way"
July 20th 2010, 11:31 AM #1
Applying Cauchy-Goursat theorem/ doing it the "hard way"
I must apply Cauchy-Goursat theorem to show that $\int _C f(z)dz=0$ where $C:=\{ z\in \mathbb{C} ; |z|=1 \}$ and $f(z)=\frac{z^2}{z-3}$.
So what I wrote was "f is anal... | 5 | [
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Design Effect: A Short Review
Of late, in all our Journal Clubs, design effect seems to get a lot of attention, so much so, that there has been talks of having a short session on design effect itself! Here goes my attempt to talk
about this much discussed topic!
Definition:
Like the British politician (and two times ... | 4 | [
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Self-avoiding walk on $\mathbb{Z}$
up vote 12 down vote favorite
2
This one is an unanswered question in Math.SE. I've posted it here because I think it deserves more attention.
How many sequences $\{a_n\}$ exist satisfying:
a) $a_1=0$
b) $\forall k\ge1 $ either $a_{k+1}=a_k+k$ or $a_{k+1}=a_k-k$
c... | 4 | [
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0.018310546875,
-0.0186767... | 39,271 | 39271 | |
Distance of two moving objects.
March 18th 2010, 03:48 AM #1
Junior Member
Joined
May 2009
Posts
39
Distance of two moving objects.
At noon ship A is 100 km west of ship B. Ship A travels south at 35km/h and ship B travels North at 25 km/hr. At 4pm how fast does the distance between them change?
I d... | 4 | [
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0.01... | 39,272 | 39272 | |
second fundamental calculus theorem
February 14th 2013, 07:00 AM #1
Junior Member
Joined
Jan 2013
From
Pizza
Posts
57
second fundamental calculus theorem
Dear All!
Proof ofthe second fundamental theorem
Please, how do we get in the sixth line that f(x) is right the one f(t), also, the sam f ... | 5 | [
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Question on measure theory
up vote 0 down vote favorite
Here is the fact in measure theory:
FACT : Let $E$ be a Lebesgue measurable subset of $\mathbb{R}^n$. Almost every $x\in E$ satisfies $\lim\limits_{m(B)\to 0,~x\in B}\frac{m(B\cap E)}{m(B)}=1$ i.e. limit is taken over the ball $B$
containing $x$ with shrinking i... | 5 | [
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0.099609375,
0.0126953125,
-0.0576171... | 39,274 | 39274 | |
Algebraic characterization of the curvature operator of symmetric spaces
up vote 13 down vote favorite
5
My question is the following :
Given an algebraic curvature operator $R\in S^2_B(\Lambda^2\mathbb{R}^n)$, is there an a simple criterion to know if this curvature operator can occur as the curvature operator o... | 4 | [
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Is there a finitely complete category with terminal object but NO subobject classifier?
up vote 1 down vote favorite
2
This came up today while thinking about topoi in seminar, as the title suggests my question is;
Is there a finitely complete category with terminal object but NO subobject classifier?
Hopefully ... | 4 | [
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0... | 39,276 | 39276 | |
linear operator and eigenvector
October 16th 2011, 07:51 AM
shimara
linear operator and eigenvector
Hey guys, I am stuck on this question so any help would be really nice. I have read it over and over and can't get it.
Attachment 22591
Thanks
October 16th 2011, 08:13 AM
FernandoRevilla
Re: linear op... | 5 | [
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On Noncentral Bell Numbers and Their Hankel Transforms
Roberto B. Corcino^1, , Harren Jaylo-Campos^1, Amila P. Macodi-Ringia^1
^1Department of Mathematics, Mindanao State University, Marawi City, Philippines
Abstract
The noncentral Stirling numbers of the first and second kind are certain generalization of the clas... | 5 | [
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0.052001953125,
... | 39,278 | 39278 | |
Chapter 13 - Area and Perimeter
Chapter 13 - Area and Perimeter
We all think we know what size means, but there are many different words in the English language for size: big, small, huge, tiny, vast, length, width, height, diameter, ... | 4 | [
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-0.0284423828125... | 39,279 | 39279 | |
What are the
Blackjack is the name of the game. So what are the odds of getting dealt a blackjack? The probability depends on how many decks are played. Of course the essential ingredients to blackjack are an ace
and a ten-value card (10, jack, queen, or king). In a single deck game there are 4 aces and 16 ten-value c... | 4 | [
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0.068359375,
-0.0278320... | 39,280 | 39280 | |
Colliding Balls
Date: 04/28/98 at 23:10:11
From: Amy de Garavilla
Subject: Conservation of kinetic energy
Our physics teacher assigned us the following problem:
A 5 kg ball is attached to a pendulum with a string of length 5 m.
The pendulum is let go from a 45 degree angle causing the 5 kg ball
to collide with an a... | 5 | [
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0.0598... | 39,281 | 39281 | |
divide polynomial with x+i
x^50-20x^32-3x+1 divideed by x+i how do u divide by i? can some eplain please.
When dividing by a complex number, multiply the numerator and denominator by its conjugate. For example: $\frac{10}{4 + 2\,\text{i}}$ $=\frac{10\color{red}\left(4 - 2\,\text{i}\right)}{\left(4 + 2\,\
text{i}\right... | 4 | [
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0... | 39,282 | 39282 | |
Existence of a solution to a system of Diophantine Inequalities
up vote 1 down vote favorite
Does the solution to the following system of inequalities exist?
$$a-1\geq a\left( b_ic -d_i\right)\geq 1$$
where $a\in \mathbb{N}_{\geq3}$, $c\in \mathbb{R}$ and $b_i,d_i \in \mathbb{N}$. Moreover, $0< c < 2\pi$ and $0\leq ... | 5 | [
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0.0206298828125,
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0.07861328125,... | 39,283 | 39283 | |
is this integrer solved properly?
May 28th 2009, 12:53 PM #1
Newbie
Joined
May 2009
Posts
1
Let's consider the integrer:
$\int -cos(2x)e^{cos(x)+sin(x)} dx$
Let's assume that:
$cos(x)+sin(x) = u$
$\Big (cos(x)-sin(x) \Big ) dx = du$
$\Bigg ( \Big (cos(x)-sin(x) \Big ) \frac{cos(x)+s... | 5 | [
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-0.0... | 39,284 | 39284 | |
Sequence 26
September 30th 2009, 09:44 PM #1
Junior Member
Joined
Sep 2009
Posts
62
Sequence 26
Find two sets of rational numbers L and R (both does not equal the empty set) such that L union R =Q for each x belong L and y belong R, x<y and set L does not contain a largest number and R does
not conta... | 4 | [
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0.03662109375,
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0... | 39,285 | 39285 | |
Random vector of fixed entry-sum
up vote 2 down vote favorite
Recently I come up with an embarrassingly easy question. It should be known or elementary but I am still not able to find either a correct answer or references:
"Consider a random vector $x=(x_1,...,x_n)$ in the simplex $0\le x_i, x_1+..+x_n=1$. It is eas... | 5 | [
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0.058349609375,
-0.... | 39,286 | 39286 | |
Use Rolle's theorem to prove function cannot have 5 zeros.
February 8th 2013, 09:54 PM #1
Junior Member
Joined
Jan 2013
From
australia
Posts
39
I have to show that Rolle's theorem can be used to prove that the function 2x5 − 5x4 + ax cannot have five distinct real zeros. I know that Rolle's theorem me... | 4 | [
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0.0011978149... | 39,287 | 39287 | |
find equation of ellipse????
algera gets really, really messy??? or am i doing something wrong?????
yes, this one is messy ... $\frac{(4/5)^2}{a^2} + \frac{1^2}{b^2} = 1$ $b^2 = a^2 + \frac{16}{9}$ $\frac{16}{25a^2} + \frac{1}{b^2} = 1$ $\frac{16}{25a^2} + \frac{1}{a^2 + \frac{16}{9}} = 1$ $\frac
{16}{25a^2} + \frac{9... | 4 | [
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0.01373291015625,... | 39,288 | 39288 | |
Salvage value
P13-119
(Ignore income taxes in this problem.) Tranter, Inc., is considering a project that would have a ten-year life and
would require a $1,200,000 investment in equipment. At the end of ten years, the project would terminate and the
equipment would have no salva... | 5 | [
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0.061279296875,
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0.0135498046875,
-0.048095... | 39,289 | 39289 | |
An elementary probability question
up vote 4 down vote favorite
1
Let $X$ be a $d$-dimensional random vector distributed according to probability measure $D$. At least the second moment of the coordinates of $X$ is finite.
Consider $n+1$ samples $X_0, \ldots, X_n \sim D$. Is it possible to find an upper bound of
$$E... | 5 | [
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Exam tomorrow
Solve the equation. Show me step by step please 5*x^1/3=35
you want to solve for x, so we have to start to leave x alone on one side. since the 5 is multiplying the x^(1/3), you want to divide both sides by x. now we're left with: x^(1/3)=7 now to get rid of
the "1/3", you would take the "x^(1/3)" and ra... | 4 | [
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0.029296875,
-0.1376953125,
0.04199218... | 39,291 | 39291 | |
Linear Algebra Primer: Part 6- Rank-Nullity Theorem
This tutorial will cover range, rank, null space, nullity, the rank-nullity theorem, invertibility, and isomorphisms. A typeset version of the tutorial is attached below:
Linear_Algebra_Part6_Tutorial.pdf (119.8K) Number of downloads: 136 Rank
The range of a linea... | 5 | [
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Problem 30
Show that $\sum_{n=1}^{\infty}nx^{n-1} = \frac{1}{(1-x)^2}$ for $|x|<1$without differenciating the geometric power series.
Let $S_n=\sum_{k=1}^nkx^{k-1}$ We have $S_n=1+2x+3x^2+\ldots +nx^{n-1}$ (1). Multiplying (1) with $x$ we have $xS_n=x+2x^2+3x^3+\ldots +(n-1)x^{n-1}+nx^n$ (2) Substracting (2) from (1) ... | 5 | [
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0.0306396484375,
-0... | 39,293 | 39293 | |
Math Help
September 25th 2011, 10:33 AM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
ker f
Let $f:X\to Y$ be a lin transformation. f is monic iff $\text{ker}f=\{0\}$
I have shown $(\Rightarrow)$
I am struggling with $(\Leftarrow)$
Let $x\in\text{ker}f$. The... | 4 | [
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[SOLVED] Surface integrals and flux
September 24th 2008, 10:15 AM
Spec
[SOLVED] Surface integrals and flux
1)
$S: x^2 + 4y^2 = 4$, $0 \leq z \leq 1$. Calculate the flux of the vector field $\overline{A}(x,y,z) = \left(\frac{-6x}{x^2+y^2},\frac{-6y}{x^2+y^2}, z+1\right)$ out through the z-axis.
2)
$S... | 5 | [
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0.01446533203125,
-0.06201171875,
-0.07... | 39,295 | 39295 | |
need help with limit, just a refresher
September 22nd 2009, 10:58 AM #1
Newbie
Joined
Sep 2009
Posts
3
need help with limit, just a refresher
Prove that the stated limit is correct by finding a number d (delta) in terms of E (is an element of) such that
|f(x) - L| < E whenever |x - c|< d:
lim (4... | 4 | [
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0.05029296875,
0.03... | 39,296 | 39296 | |
Compound interest question.
November 17th 2008, 11:22 AM #1
Newbie
Joined
Nov 2008
Posts
6
Compound interest question.
$250 per month is invested in an account that earns 9% per year, compounded monthly. What will the total in the account be at the end of 5 years.
I have a formula on my work sheet t... | 4 | [
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MythBusters and the first water heater
Rhett Allain on November 19, 2009
Last night I saw the newest episode of MythBusters. One of the myths they revisited was the exploding water heater. Well, it turns out that I had an analysis of this first explosion, but I didn’t
move it over when I switched software. So, here i... | 4 | [
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... | 39,298 | 39298 | |
Reconstructing an ordering of a multiset from its consecutive submultisets
up vote 4 down vote favorite
We have a multiset $S$ of size $t$ with $r$ distinct elements, where $t$ is much larger than $r$. We want to reconstruct an ordering $s_1, s_2, ... s_t$ of the elements of $S$ given the values of $t$
and $r$ and, fo... | 4 | [
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