content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Factoring linear factors.
April 28th 2013, 02:00 PM #1
Junior Member
Joined
Apr 2012
From
Seattle, Washington
Posts
72
Factoring linear factors.
Hi, I'm working through an exam pretest and I came across this problem. Looking through my notes, I can't find examples that show me how to do it. I'm not t... | 4 | [
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s
Heights and Distances
Exercise
1. The angle of elevation of the top of a tower, from a point on the ground and at a distance of 15... | 4 | [
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Spectral Decomposition of a Matrix
April 16th 2010, 10:45 AM #1
Junior Member
Joined
Jul 2009
Posts
69
Spectral Decomposition of a Matrix
A= $\begin{bmatrix} 7 & 3 & 3 &2 \\ 0 & 1 & 2 & -4 \\ -8 &<br /> -4& -5 &0 \\ 2& 1 & 2 & 3\end{bmatrix}<br />$
Let T be the linear Operator in $R_n$ that has the ... | 5 | [
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Measurable function is Baire class 2 almost everywhere
up vote 0 down vote favorite
Let $X$ be a polish space (separable completely metrizable topological space). Let $m$ be a probability measure on $X$ and $f:X \rightarrow \mathbb{R}$ a measureable function. I want to show that $f$
is equal a.e. to a second Baire cla... | 5 | [
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Lowest Common Factor
12-21-2002 #1
Lowest Common Factor
Arghh... I think thats the right name for it! Does anyone know of an easy way to find the lowest common factor between two integers? Like the lowest common factor of 6 and 8 is 24. I'm writing a
fractions class that when it adds and subtracts needs to fi... | 4 | [
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Hochschild cohomology
Next: Cyclic cohomology (results) Up: Hochschild and cyclic cohomologies Previous: Hochschild and cyclic cohomologies
The definition of Hochschild cohomology of an arbitrary non-commutative algebra A with values in the bimodule -its dual- can be found, for instance in [1]. The Hochschild p-co... | 4 | [
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Three Binary Algorithms
January 15, 2010
Today’s exercise examines three binary algorithms, for basic arithmetic: multiplication, division, and greatest common divisor.
Four millenia ago, when the ancient Egyptians were building the pyramids, they invented a method for multiplying positive integers that works like t... | 5 | [
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one last question...
May 13th 2008, 03:26 AM
deragon999
one last question...
I have been given two questions, both of which i ahve no clue on what to do
linear transformation T : R^2-->R^2 with standard matrix M=[a,0;0,b] a>b>0
a) show the circle x^2+y^2=r^2 is transformed by T to the ellipse:
(x^... | 4 | [
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Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Calculate the corner points by using Algebra Solve... | 4 | [
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Final Digit of 3^1001
May 24th 2008, 11:37 AM
gearshifter
Final Digit of 3^1001
Explaining your logic, what is the final digit of the number 3^1001?
*I'm guessing that they don't want you to use a calculator?
Thank you.
May 24th 2008, 11:47 AM
Moo
Hello,
Quote:
You can see it by it... | 4 | [
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System of differential equations
August 10th 2012, 08:12 PM #1
Junior Member
Joined
Jan 2011
From
Sydney
Posts
36
System of differential equations
Hi guys, suppose we have the following system of differential equations
X' = -aX + cY
Y' = aX - (b+c)Y + dZ
Z' = bY - dZ
where a,b,c,d >... | 5 | [
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4SUM
August 14, 2012
We have today another exercise from our inexhaustible stock of interview questions:
Given an array of integers, output a list of four integers that sum to zero (the same input integer can be used multiple times), or indicate that no such set of four integers exists. For example,
given th... | 5 | [
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Ring homomorphisms - statement
August 10th 2011, 05:05 AM #1
Junior Member
Joined
Sep 2009
Posts
32
Ring homomorphisms - statement
please help me understand this statement that i have in my lecture notes
If for all r $\in$ R there exists some $x \in R$ such that $x^2 = r$ then the same statement is ... | 5 | [
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big-O notation
Comments
•
[b][red]This message was edited by IDK at 2006-6-29 12:24:18[/red][/b][hr]
: Hi
:
: Does anybody know about this and how to "Find the big-O notation of the following functions"?
:
: a) 20n^3 + 10 n lg n + 5
:
: [b]Q1[/b]
: What do you mean by, [red]find... | 4 | [
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My First Agda Program: Append, Reverse, and Merge
I have been looking for a programming language to practice dependent type with. During the WG 2.1 meeting, my attention was brought to Agda (in fact, Adga 2). The word Agda may refer to both the
proof assistant and its input language. It has been under long development... | 5 | [
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0.0275878906... | 45,514 | 45514 | |
Area of the Surface
April 17th 2008, 05:27 PM #1
Newbie
Joined
Feb 2008
Posts
6
Area of the Surface
Hello -
I am to find the part of the plane 2x+5y+z=10 that lies inside the cylinder $x^2+y^2=9$
I'm not sure how to start, and this is all i need help with. Do i parametrize the cylinder?
Us... | 5 | [
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Variation of a coin flip problem
September 16th 2008, 09:22 AM #1
Newbie
Joined
Sep 2008
Posts
16
Variation of a coin flip problem
Question:
A, B, C take turns fliping a coin. Calculate the probability that A wins, B wins, C wins; the first to flip a head. Assume A flips, then B, then C.
I under... | 5 | [
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Math Help
June 6th 2009, 02:40 AM #1
Member
Joined
Mar 2006
Posts
125
Umvue
Hello,
Can someone please show me how to find a UMVUE to the parameter "a" when X1,...Xn ~ U(0,a), using the Lehman Scheffe theorem ?
( I do know what need to be done, finding an unbiased estimator which depends on a su... | 5 | [
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Burnett function expansions with a bi-Maxwellian weight function
ANZIAM J. 48 (CTAC2006) pp.C218–C232, 2007 C218
Burnett function expansions with a
bi-Maxwellian weight function for electron
swarm physics
... | 4 | [
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Hilbert A-module
August 25th 2010, 01:23 AM
Mauritzvdworm
Hilbert A-module
Suppose X is a Hilbert A-module. I would like to show that for each $x\in X$ there is a unique $y\in X$ such that $x=y\cdot\langle y,y\rangle$
The plan is to use adjoinable operators for each $x\in X$
$D_x:X\rightarrow A,D_x(y):=... | 5 | [
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Use of a Drag Coefficient to Calculate Drag Force due to Fluid Flow past an Immersed Solid
• Introduction
When there is fluid flow past a solid object, the resulting air resistance or water resistance causes a drag force. This drag force is of concern for a variety of applications, such as wind force
on stru... | 5 | [
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[SOLVED] Cosine of the Sum of Two Angles
March 17th 2010, 06:40 PM #1
Given sin $\theta$ = $\frac{-5}{13}$ in quadrant III, tan $\phi$ = $\frac{-8}{15}$ in quadrant II; find the value of sin( $\theta$ + $\phi$):
I've posted my solution -- which the answer key says is wrong -- here, http://imagebin.ca/img/tnIN... | 4 | [
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Visualizing Poincaré Maps together with the underlying flow
header > paper > slides > figures > animations > more images > footer
Visualizing Poincaré Maps together with the underlying flow
by H. Löffelmann, T. Kucera, and E. Gröller.
Project Duration: 1996, June - 1997, March.
This page assembles some results (fi... | 4 | [
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Proof of the Barcan Formula in
Proof of the Barcan Formula in SQML
Lemma 1: φ → □◊φ
Proof:
(1) □¬φ → ¬φ instance of the T schema
(2) φ → ¬□¬φ from (1), by contraposition
(3) φ → ◊φ from (2), definition of ◊
(4) ◊φ → □◊φ instance of 5 schema
(5) φ → □◊φ from (3) and (4), by propositio... | 5 | [
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Topology Proof: g:(X1 x {p2})→ X1 is a homeomorphism
October 20th 2012, 08:37 AM
Kiefer
Topology Proof: g:(X1 x {p2})→ X1 is a homeomorphism
I've outlined the proof but could use some help with the details in the simpler sections (eg: proving a bijection)
For any p[2] ∈ X[2]
π[1]|[(x1x{p2})]: (X[1] x {p... | 5 | [
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If the tensor product of two $kG$-modules is projeсtive, does either of them have to be projective?
up vote 10 down vote favorite
3
Let $G$ be a finite group and $k$ a field, let us assume that char($k$) divides the group order. Let $kG$-mod denote the category of fintely generated $kG$-modules. This category has as a... | 5 | [
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isomorphism
November 3rd 2008, 03:34 PM
agentZERO
isomorphism
Let y be an integer, which is not a square of another integer.
How do I prove that Q[sqrt(y)] = {a + bsqrt(y) : a,b in Q} is isomorphic to Q[x]/(x^2 - y) where Q is the set of rational numbers?
Thanks for your help.
November 3rd 2008, 04:00... | 5 | [
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Square Root algorithm for C
Introduction
For those who are looking for how square root algorithm works and “YES !, Welcome to my article”, but for those who are simply looking for performing square root on your work and I have to tell you,
what you have to do is some Googling on “math.h” header file to look for square... | 5 | [
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-0.0693359375,
0.00408935546875,
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0.00433349609375,
0.0... | 45,527 | 45527 | |
u(x,t) equation for a thin rod
May 11th 2011, 06:25 AM
sublim25
u(x,t) equation for a thin rod
Consider a thin rod of length L with an initial temperature fix) throughout. Its ends are held at zero temperature for all time. The temperature u(x, t) in the rod is governed by the following
equation, boundary an... | 4 | [
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... | 45,528 | 45528 | |
Markov Chain problem.
March 18th 2011, 03:25 AM
harrybarryt
Markov Chain problem.
With two-state Markov chain which a one-step transition matrix :
P = [ 7/8 1/8 ]
[ 1/8 7/8 ]
How would i find the eigenvalues of P and derive an explicit expression for Pn?.(Rock)
March 18th 2011, 03:40 AM
Fer... | 5 | [
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0.09765625,
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0.039794921875,
-0.0693359375,
-0.06... | 45,529 | 45529 | |
Homework Help
Posted by kayla on Tuesday, February 10, 2009 at 6:19pm.
how do I simplify these?
1. (Cot/1-tan) + (Tan/1-Cot) - Tan - Cot
2. (1+cos) (csc-cot)
• math - Reiny, Tuesday, February 10, 2009 at 7:00pm
sloppy notation.
the cot of what, the sin of what?
sin, cos, tan, etc are mathematical op... | 4 | [
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0.042724609375,
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-0.059326171875... | 45,530 | 45530 | |
Solving a Quartic Equation with Substitutions
Date: 11/02/2004 at 11:37:03
From: John
Subject: How can I solve this out
I'm trying to solve y(y+1)(y+2)(y+3) = 7920, which is a problem from
my friend's kid. First I multiplied it all out:
(y^2 + y)(y + 2)(y + 3) = 7920
(y^3 + 3y^2 + 2y)(y + 3) = 7920... | 4 | [
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0.04833984375,
... | 45,531 | 45531 | |
"Transitivity" of the Stone-Cech compactification
up vote 24 down vote favorite
5
Let $\beta \mathbb{N}$ be the Stone-Cech compactification of the natural numbers $\mathbb{N}$, and let $x, y \in \beta \mathbb{N} \backslash \mathbb{N}$ be two non-principal elements of this
compactification (or equivalently, $x$ and $y$... | 5 | [
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0.0256347... | 45,532 | 45532 | |
the magnetocaloric effect
Introduction
The Magnetocaloric Effect (MCE), discovered in 1881 by E. Warburg[1], is an exciting propriety of magnetic materials. This effect can be seen from either an adiabatic or an isothermal process; both
due to a change of the applied magnetic field. Considering an adiabatic process, ... | 4 | [
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0.0268554... | 45,533 | 45533 | |
IIR Coefficient Quantization Analysis
The performance and stability of an IIR filter depends on the pole locations, so it is important to know how quantization of the filter coefficients a k a k affects the pole locations p j p j . The
denominator polynomial is Dz=1+∑ k =1N a k z−k=∏ i =1N1− p i z-1 D z 1 k N 1 a k ... | 4 | [
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0.017333984375,
-... | 45,534 | 45534 | |
subspaces of singular matrices
up vote 6 down vote favorite
4
Let $A$, $B$ be square matrices over infinite field (we identify them with linear operators on the vector space of columns). It is given that for all scalars $a,b$ the matrix $aA+bB$ is singular.
Does it follow that there exist matrices $P$, $Q$ such that r... | 5 | [
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Infinitely many primes, and Mobius randomness in sparse sets
up vote 16 down vote favorite
2
Problem 1: Find a (not extremely artificial) set A of integers so that for every $n$, $|A\cap [n]| \le n^{0.499}$, ($[n]=\{1,2,...,n\}$,) where you can prove that $A$ contains infinitely many primes.
Problem 2: Find a (not ex... | 4 | [
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0.0493164062... | 45,536 | 45536 | |
Determining x-intercepts of polynomial function
March 8th 2011, 11:08 AM
Devi09
Determining x-intercepts of polynomial function
How do you determine the x-intercepts of the polynomial function y = -(2x+5)^3 - 20
I did this:
0 = -(2x+5)^3 - 20
20 = -2x+5)^3
-5 3sqrt(20/-2) (3 before the sqrt b... | 4 | [
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0.052001953125,
-0.07275390625,
-0.02... | 45,537 | 45537 | |
Exponential simultaneous equations
July 15th 2010, 10:21 PM #1
Junior Member
Joined
Jul 2010
Posts
53
Exponential simultaneous equations
A little help with these would be of help!
i) x^y= y^x
x^2=y^3
Solve for x and y.
ii)a^x=x^y
a^y=x^x
Same here.
Hello Arka
Welcome... | 4 | [
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Uniform Convergence of the Sequence of Compositions
May 4th 2010, 11:21 PM
DJDorianGray
Uniform Convergence of the Sequence of Compositions
Hey everyone,
I need help with the following complex analysis problem. (It is from chapter 3 of Greene & Krantz):
Let $\phi : D(0,1) \mapsto D(0,1)$ be given by $\p... | 5 | [
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Finding point of max. and min.
April 4th 2007, 02:38 AM #1
Newbie
Joined
Apr 2007
Posts
6
hello Friends,
I cant solve out this problem.
For the following function, find a point of maxima and point of minima,if these exist:
f(x)=17x^5-14x^3+44
Thanks
Harshal.
Differentiate and cla... | 4 | [
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0.041748046875,
0.002227783203... | 45,540 | 45540 | |
Help me with trig functions!!
February 6th 2011, 11:59 AM #1
Junior Member
Joined
Dec 2010
Posts
47
I'm having a hard time understanding how to verify trig functions using trig identities.
can someone walk me through how to verify this equation? thanks
(cscθ)(tanθ) = secθ
basic identities w... | 4 | [
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0.03564453125,
0.... | 45,541 | 45541 | |
Numerical Laplace Transforms and Inverse Transforms in C#
In modeling many physical processes described by differential or partial differential equations, solutions can be obtained analytically using Laplace transforms. For most of the more interesting
problems, however, inverting the solution is often a problem. Addit... | 4 | [
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... | 45,542 | 45542 | |
Design of Refractive Index Profile for Multimode Optical Fibers with Low Differential Mode Delay
Dept. of Communications Lines, Povolzhskiy State University of Telecommunications and Informatics (PSUTI), Samara, Russia
Abstract
This work presents an alternative method for design of refractive index profile for silic... | 4 | [
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-0.08496093... | 45,543 | 45543 | |
Proof
Working on practice problems. Is anybody able to complete this? Give an epsilon - delta proof of the limit fact http://s16.postimage.org/u6kootpkx/Limit.jpg
To prove \displaystyle \begin{align*} \lim_{x \to 1} (6x - 5) = 1 \end{align*} you need to show that \displaystyle \begin{align*} 0 < |x - 1| < \delta \impl... | 4 | [
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0.0... | 45,544 | 45544 | |
Surface PDE (heat equation) weak form and existence/uniqueness
up vote 1 down vote favorite
1
Suppose $X:A \subset \mathbb{R}^n \to \mathbb{R}^{n+1}$ is a parametrisation of a surface $\Gamma$ such that $X(\theta_1, \theta_2) = (\theta_1, \theta_2, h(\theta_1, \theta_2))$ (i.e., $\Gamma$ is a
graph).
Define the $g_{i... | 4 | [
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0.02587890625,
-0.060302734375,
0.033447265625,
0.078125,
-0.0361328125,
-0.02709... | 45,545 | 45545 | |
Colligative Properties
Colligative properties are properties of a solution that depend mainly on the relative numbers of particles of solvent and solute molecules and not on the detailed properties of the molecules
themselves. You could almost refer to these as statistical properties because they can be understood sol... | 4 | [
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-0.... | 45,546 | 45546 | |
Ordinary Differential Equations (ODEs) Made Easy
As the winter term kicks into gear, you might start hoping you had an ODE-solving pet monkey as the math and physics problem sets start piling up. Now, we do not offer ODE-solving primates at the
moment, but we can help you with your differential equations problem sets. ... | 4 | [
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-0.064453125,
0.0571289062... | 45,547 | 45547 | |
Simple probability question: Hit and miss cards
January 15th 2011, 10:44 PM #1
Newbie
Joined
May 2010
Posts
10
Simple probability question: Hit and miss cards
This should be very easy, but I can't get the idea of counting this right:
So I have a stack of 100 cards. 21 of those says "HIT" and 79 says... | 5 | [
0.140625,
-0.00135040283203125,
-0.06689453125,
0.06689453125,
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-0.044189453125,
0.03759765625,
0.01263427734375,
-0.059814453125,
0.0066223144... | 45,548 | 45548 | |
Field (mathematics)
From Conservapedia
A field is a commutative ring which contains a non-zero multiplicative identity and all non-zero elements have multiplicative inverses. Loosely, a field is a collection of entities with well-behaved
and compatible addition and multiplication operations. A few examples serve to i... | 4 | [
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-0.042236328125,
0.0498046875,
-... | 45,549 | 45549 | |
Math Forum Discussions - Re: What is pi_0?
Date: Jan 19, 2013 6:37 PM
Author: W. Dale Hall
Subject: Re: What is pi_0?
Kaba wrote:
> Hi,
>
> In this page
>
> http://en.wikipedia.org/wiki/Indefinite_orthogonal_group
>
> there is the notation pi_0 in the topology section. What does it refer
> to? I don't see how the homo... | 4 | [
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-0.072265625,
0.02172851... | 45,550 | 45550 | |
Manipulation of Formula
October 10th 2011, 07:54 AM #1
Newbie
Joined
Oct 2011
Posts
16
Manipulation of Formula
Hi everyone,
I know this may seem a really easy problem but I'm struggling with it and wondered if anyone could tell me where I'm going wrong.
We are given a set of formula.
Stres... | 4 | [
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0.00634765625,
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0.052978515625,
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0.072265625,
-0.02490234375,
-0.01281... | 45,551 | 45551 | |
Quadratic factors of a cubic polynomial
December 8th 2009, 12:27 PM #1
Junior Member
Joined
Dec 2009
Posts
61
Quadratic factors of a cubic polynomial
If x² + bx -2 is factor of xcubed + (2b-1)x² - p, find two possible values of p.
Im not sure what method to use to solve this. do i divide them?
... | 4 | [
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-0.0135498046875,
0.039306640625,
... | 45,552 | 45552 | |
Natural Log Question
September 26th 2008, 09:31 PM #1
Natural Log Question
Can someone show me how this is possible?
$<br /> \ln \left( {\frac{{\sqrt 2 + 1}}<br /> {{\sqrt 2 - 1}}} \right) = 2\ln \left( {\sqrt 2 + 1} \right)<br />$
Thank you.
Multiply the inside of the natural log by the conjugate ... | 4 | [
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0.03955078125,
-0.078125,
-0.018432617... | 45,553 | 45553 | |
A problem on ODE modeling
January 6th 2010, 02:27 PM #1
Newbie
Joined
Jan 2010
From
Sydney
Posts
6
im a beginner in Ode and had a problem about this ode modeling question:
The population of mosquitoes in a certain area increases at a rate proportional to the current population and in the absence ... | 5 | [
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-0.005706787109375,
-0.00592041015625,
-0.05419921... | 45,554 | 45554 | |
Euclidean algorithm
October 6th 2012, 12:00 PM #1
Senior Member
Joined
Sep 2012
From
Sweden
Posts
250
Thanks
6
Euclidean algorithm
Determine all heltallösningar the Diophantine equation such that both x and y is between 100 and 380 (including 100 and 380).
i wanna solve this problem with Eucl... | 5 | [
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-0.02734375,
-0.024658203125,
-0.007476806640625,
0.09423828125,
0.0634765625,
-0.078125,
0.06689453125,
0.024658203125,
-0.0123291015625,
-0.022460... | 45,555 | 45555 | |
If [math]y = In \left[ \frac{x(x^2 + 1)}{\sqrt{x^3 - 1}} \right] [/math]
March 26th 2011, 01:22 AM
bijosn
If [math]y = In \left[ \frac{x(x^2 + 1)}{\sqrt{x^3 - 1}} \right] [/math]
$y = In \left[ \frac{x(x^2 + 1)}{\sqrt{x^3 - 1}} \right]$ find y'
I began this by
letting $u=\frac{x(x^2+1)}{\sqrt{x^3 - 1}}$... | 5 | [
-0.0250244140625,
0.043701171875,
0.03125,
-0.01220703125,
0.0267333984375,
-0.036376953125,
-0.007354736328125,
-0.0213623046875,
0.0167236328125,
-0.08447265625,
0.08935546875,
-0.039794921875,
-0.03466796875,
0.03955078125,
-0.0703125,
-0.0152587890625,
-0.072265625,
-0.03149414... | 45,556 | 45556 | |
Homology of a region of the plane
up vote 2 down vote favorite
This is related to this MO question, I don't know if it's really "research-level". As in that question, let $U$ be a domain of the complex plane $\mathbb{C}$, i.e. an open connected subset. Let $$ \
kappa_a:=\frac{1}{\zeta-a}d\zeta $$ be the Cauchy kernel ... | 4 | [
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-0.0888671875,
-0.10... | 45,557 | 45557 | |
Factorisation Help
October 31st 2010, 02:26 AM
Glitch
Factorisation Help
The question:
Factorise $2(2x^3 - 3x^2 - x + 1)$
I have no idea where to start. :( Is there a method of factorising cubics and other high degree polynomials, preferably without remembering massive formulas?
Thanks.
October 31... | 4 | [
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0.0... | 45,558 | 45558 | |
Needs help on a tough question
July 25th 2006, 03:26 AM
margaritas
Needs help on a tough question
Question: Use the fact that 7 cos x - 4 sin x = (3/2)(cos x + sin x) + (11/2)(cos x - sin x) to find the exact value of (upper limit: 0.5?, lower limit: 0)?((7 cos x - 4 sin x)/(cos x + sin x))
dx.
Answer: ... | 5 | [
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0.05078125,
0.045654... | 45,559 | 45559 | |
Differential Equations, what are they? a few ?'s
April 8th 2010, 11:09 PM #1
Junior Member
Joined
Mar 2009
Posts
32
Differential Equations, what are they? a few ?'s
I'm having a tough time figuring out exactly what differential equations are. after reading the chapter on it 3 times over, I do not underst... | 5 | [
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0.0185546875,
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-0.06079... | 45,560 | 45560 | |
MATLAB By Examples
In this example, we will see how we can model a simple communication channel. We will consider two cases : A simple Additive Gaussian noise channel and Rayleigh fading channel. Our signals are
complex variables here which signifies both I and Q components.
Fig1: Communication System
Channel
A cha... | 5 | [
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-0.003570556640625,
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0.09619140625,
-0.... | 45,561 | 45561 | |
Graphs of Linear Systems
7.1: Graphs of Linear Systems
Difficulty Level: Basic Created by: CK-12
Practice Graphs of Linear Systems
Suppose that on a test there are multiple choice questions and fill-in-the-blank questions. Julia answered 8 multiple choice questions and 3 fill-in-the-blank questions correctly, while ... | 4 | [
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-0.05126953125,
-0.0556640625... | 45,562 | 45562 | |
finding largest value of tan angle
December 18th 2009, 09:56 AM #1
Member
Joined
Apr 2009
From
california
Posts
121
finding largest value of tan angle
Triangle ABC has angle C = 60 degrees and BC = 4. Point D is the midpoint of BC. What is the largest possible value of tan ( angle BAD ) ?
I have... | 5 | [
0.029296875,
0.09814453125,
0.01373291015625,
-0.057373046875,
-0.057373046875,
0.03857421875,
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0.07470703125,
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0.02294921875,
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0.0947265625,
0.0693359375,
0.0230712890625,
0.032958984375,
-0.001... | 45,563 | 45563 | |
The Sum Of Two Squares
January 5, 2010
If you like to program math puzzles, you probably know about Project Euler; in fact, it was that site that inspired Programming Praxis. We don’t usually do math puzzles here, because Project Euler
does them better, but the occasional math puzzle can be entertaining, and lead to ... | 4 | [
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... | 45,564 | 45564 | |
Finding derivative of a function
July 21st 2012, 12:31 AM #1
Member
Joined
Jun 2012
From
Australia
Posts
86
Finding derivative of a function
Hello,
I'm supposed to find the derivative of the following.
$(4/3)Pi (r)^3$
Using the form $(d/dx)f(x)$, or turning F(x) into F'(x) (Prime).
... | 5 | [
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0.04052734375,
0.08251953125,
-0.031494140625,
-0.01336669921875,... | 45,565 | 45565 | |
open cover
April 30th 2009, 06:23 AM
manjohn12
open cover
Suppose that a metric space $X$ has a countable dense cover $Q$. Show that any open cover of $X$ has a subcover which is at most countable.
So consider an arbitrary cover of $X$$, \{U_{\alpha}: \alpha \in A \}$. Let $\mathcal{B}$ be the set of open b... | 5 | [
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0.0240478515625,
-0.109863281... | 45,566 | 45566 | |
Logarithm Help: Solve for x.
October 1st 2009, 08:08 PM #1
Newbie
Joined
Oct 2009
Posts
1
I need to solve for x.
8^(log_2(x)) - 25^(log_5(x)) = 4x - 4
please can someone tell me how to solve this. All i have managed to do is prove it....but not solve for it.
ok
$A^{log_A (x) } = x$ you... | 4 | [
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0.027465... | 45,567 | 45567 | |
Patent US5515060 - Clutter suppression for thinned array with phase only nulling
FIELD OF THE INVENTION
This invention relates to array antennas useful for radar. More particularly, this invention relates to a thinned antenna array in which a substantial fraction of the total number of element slots
are not populated,... | 4 | [
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grade ten questions?
September 15th 2012, 06:36 PM
njdevils1833
grade ten questions?
Hi, i was just wondering if anyone could help me out with these two math questions from my homework.
question 1.) solve the system of equations
x+3y-z=-14
7x+6y+z=1
4x-2y-5z=11
question 2.)a tain leaves tor... | 4 | [
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-0.052490234375,
-0.0336... | 45,569 | 45569 | |
Percentage problem
December 4th 2009, 05:24 PM
nvwxgn
Percentage problem
I need help with the following percentage question:
In a 400-people population, it has been done examinations to diagnose anemia and intestinal parasitism. The results made it clear that:
- 80% of the people with anemia have also... | 4 | [
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0.047607421875,
0.0174560546875,
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0.03857421875,
-... | 45,570 | 45570 | |
Calculating Critical Speed - A Motor-Vehicle Crash Reconstruction Method Fraught with Error
John C. Glennon, D.Engr., P.E.
August 2006 (copyright)
The term critical speed as typically used in motor-vehicle crash reconstruction refers to using the centripetal acceleration equation to calculate that speed at which ... | 4 | [
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-0.10... | 45,571 | 45571 | |
Universal catenarity and Laurent algebras
up vote 3 down vote favorite
A Noetherian (commutative) ring $A$ is called universally catenary if every $A$-algebra of finite type is catenary. If one wants to know whether $A$ is universally catenary, then this definition
suggests checking every $A$-algebra of finite type. C... | 5 | [
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0.02929687... | 45,572 | 45572 | |
help finding asymptotes and local extrema?
December 30th 2010, 08:03 AM #1
Newbie
Joined
Jan 2010
Posts
3
help finding asymptotes and local extrema?
This question was on my extra credit test, and I'm having problems with parts of it:
Graph the rational function below:
Solve ALGEBRAICALLY X and Y... | 4 | [
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0.046142578125,
0.11181640625,
0.05322265625,
-0.0849609375,
0... | 45,573 | 45573 | |
Truth Tables of Boolean Variables
Date: 03/09/2001 at 14:35:54
From: Mike Green
Subject: Truth Table from Boolean Variables (A,B)
Hi,
Given two Boolean variables, A and B, what are the 16 possible truth
functions in table form? I don't understand.
Thanks.
Date: 03/09/2001 at 16:55:27
From: Doctor Achilles
Subjec... | 4 | [
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0.0216064453125,
0.1376953125,
-0.07177734375,
-0.001495... | 45,574 | 45574 | |
How to derive Hall's coefficient for a semiconductor?
''<A href="http://mems.caltech.edu/courses/EE40%20Web%20Files/Supplements/02_Hall_Effect_Derivation.pdf">http://mems.caltech.edu/courses/EE40%20Web%20Files/Supplements/02_Hall_Effect_Derivation.pdf</
A>'' All the derivation is precisely explained. You need to equat... | 4 | [
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0.03564453125,
0.036376953125,
-0.10791015625,
0.0... | 45,575 | 45575 | |
Project Euler Problem 15: City Grids and Pascal's Triangle
Problem 15 in the Project Euler series asks us to count the number of routes through a 20x20 grid starting from the top left and travelling to bottom right, always moving either rightwards or
downwards, never backtracking. I can give you the solution in one lin... | 5 | [
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-0.03173828125,
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0.018798828125,
-0.047607421875,
-0.011... | 45,576 | 45576 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: tangent plane to sphere - how to prove this?
Repli... | 5 | [
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0.1015625,
0.125,
0.004730224609375,
0.009521484375,
-0.033203125,
0.07080078125,
-0.015380859375,
-0.045166015625,
-0.0030517578125,
-0.03515625,
-0.0334... | 45,577 | 45577 | |
Lower Bounds for Comparison Sort
Lower Bounds &
Sorting in Linear Time
Comp 122, Spring 2004
Comparison-based Sorting
Comparison sort
» Only comparison of pairs of elements may be used to gain
order information about a sequen... | 5 | [
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0.068359375,
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-0.0167236328125,
-0.058837890625,
0.01068115234375,
-0.0027618408203125,
... | 45,578 | 45578 | |
Classification of Differential Equations
WOLFRAM LANGUAGE TUTORIAL
Classification of Differential Equations
While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as order, linearity, and
degree. The solut... | 4 | [
-0.125,
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0.005767822265625,
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0.0078125,
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0.0201416015625,
-0.013427734375,
-0.033935546875,
-0.0830078125,
-0.009338378906... | 45,579 | 45579 | |
Math Forum Discussions
Re: Bernoulli numbers and sqrt(1)+sqrt(2)+sqrt(3) + ... sqrt(1000)
Posted: Feb 18, 2013 7:17 AM
I've to correct some obvious typing errors:
Am 18.02.2013 09:38 schrieb David Bernier:
> On 02/18/2013 02:26 AM, Gottfried Helms wrote:
>>
>>
>
> The summatory polynomial for the k'th powers of 1, 2,... | 5 | [
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0.00102996826171875,
-0.03759765625,
0.02416992... | 45,580 | 45580 | |
Looking for a reference for the laplacian operator
up vote 2 down vote favorite
4
Can anyone give me a reference which explain the derivation of the partial differential operator expression for the laplacian on the euclidean n-dimensional space and on $S^n$ ?
One generally writes the laplacian on the n-dim euclidean... | 5 | [
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-0.06884765625,
-0.001983642578125,
-0.00579833984375,
-0.025268554... | 45,581 | 45581 | |
Minimization under non-linear constraints
up vote 0 down vote favorite
1
There is a linear function of two variables that I am trying to minimize under an equality constraint. But, the constraint is non linear in the variables. Is there any technique to solve this? or can
I use approximations and linearize the constra... | 5 | [
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0.03271484375,
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0.07958984375,
0.025634765625,
0.0... | 45,582 | 45582 | |
Permutation representation inner product
up vote 5 down vote favorite
4
Let $\rho : S_n \rightarrow \text{GL}(n, \mathbb{C})$ be the homomorphism mapping a permutation $g$ to its permutation matrix. Let $\chi(g) = \text{Trace}(\rho(g))$.
What is the value of $\langle \chi, \chi \rangle = \displaystyle \frac{1}{n!} \s... | 5 | [
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-0.0260009765625,
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-0.10498046875,
0.00189971923828125,
0.017822265625,
0.03222... | 45,583 | 45583 | |
How to solve equation contain logarithm
How to solve this equation: 4827/t +7log_10(t)-27=0 please help me
Hy. You can solve it by using the Lambert-W function by first writing it as: $\frac{4827}{t}+7\log_{10} t=27$ $\frac{4827}{t}+\frac{7}{\ln(10)}\ln(t)=27$ or just look at: $\frac{a}{t}+b\ln(t)=c$ Now,
in order to ... | 5 | [
-0.07568359375,
0.03564453125,
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0.056884765625,
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0.04052734375,
-0.015625,
0.09326171875,
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0.060302734375,
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0.03955078125,
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0.031494140... | 45,584 | 45584 | |
Matrix Ring
February 22nd 2011, 12:57 PM #1
Junior Member
Joined
Nov 2010
Posts
37
Matrix Ring
My professor gave us this query at the end of class, it contained two parts.
1. Show a ring is idempotent
2. Consider the degree one polynomial f(x) is an element of M2(R)[x] given by
f(x) = [0 1
... | 5 | [
-0.036865234375,
0.09375,
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0.1064453125,
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0.0038299560546875,
0.06201171875,
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0.00616455078125,... | 45,585 | 45585 | |
help PDE's!
June 19th 2007, 01:33 PM #1
degoman
Guest
help PDE's!
I'm not so sure how to type my problems out legibly on here so here's a document with the problems i need help with:
1) $\mbox{div}(\mbox{grad} u) = abla^2 u$ where $u=u(x,y,z)$
By definition,
$\mbox{grad} u = \frac{\partial u}{\parti... | 5 | [
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-0.01080322265625,
... | 45,586 | 45586 | |
Math Help
October 21st 2010, 07:22 AM #1
Newbie
Joined
Oct 2010
Posts
2
maximisation
I have a question which I thought was simple enough, but have somehow got lost for quite a while on it. I need to maximise the following equation with respect to the variable x. a and b are
constants.
$max \ f... | 4 | [
-0.033203125,
0.0274658203125,
0.0208740234375,
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0.048095703125,
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0.0732421875,
0.0673828125,
0.06982421875,
-0.... | 45,587 | 45587 | |
Convergence of sequence using the definition
August 2nd 2010, 04:55 AM #1
Junior Member
Joined
Dec 2008
Posts
70
Convergence of sequence using the definition
Hi, I know how to show the following sequence goes to its limit, but i need to do it using the definition, of which i am having trouble, i've start... | 5 | [
-0.0107421875,
0.005401611328125,
0.07958984375,
0.0115966796875,
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0.034912109375,
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0.008056640625,
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0.0283203125,
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0.003936767578125,
0.0205078125... | 45,588 | 45588 | |
Differential Equations, Some Integral Solutions
January 17th 2010, 04:40 PM #1
Newbie
Joined
Jan 2010
Posts
6
Differential Equations, Some Integral Solutions
I have a vague memory of going over these types of integrals, but have yet to fully visualize and comprehend the patterns that they imply. I'm now ... | 5 | [
-0.1044921875,
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0.059814453125,
0.0238037109375,
0.051025390625,
0.0189208984375,
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0.0498046875,
-0.0024566650390625,
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0.039306640625,
0.00640869140625,
0.021484375,
0.0478515625,
0.000926971435546875,
0.01336669921875,
-0.070800781... | 45,589 | 45589 | |
Math Forum Discussions - Re: how to solve tan(x)=3x/(3+x^2)
Date: Feb 13, 2013 4:11 AM
Author: Christopher Creutzig
Subject: Re: how to solve tan(x)=3x/(3+x^2)
On 13.02.13 00:54, Jingxin wrote:
> So I tried to use Solve function to solve this equation, tried root, findroot. By using FindRoot, I was able to get one sol... | 5 | [
-0.0263671875,
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-0.00... | 45,590 | 45590 | |
Integral Multiplication
I think you first need to get rid of that square root by doing some substitution. Try $tan \theta = \sec^2 (x)$. It might not actually work out...but that 4th power has to be removed before you can
replace that $\sqrt{1 + (\tan \theta)^2}$ with just $\sec \theta$. At least that's what I would tr... | 5 | [
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0... | 45,591 | 45591 | |
Modular Arithmetic
December 12th 2010, 12:55 PM
extatic
Modular Arithmetic
Hi Guys,
Having some trouble with basic modular arithmetic, most of the materials i have dont seem to be helping..
a simple question 2 mod 10 = 2.. how did they get = 2?
3 mod 18 = 3, could you please explain the process
D... | 4 | [
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Posts from January 2010 on Programming Praxis
We examined the bifid cipher, which uses a polybius square to convert letters to digits and back again, in a previous exercise. Today we will look at another tool for converting between letters and
digits known as a straddling checkerboard. A sample straddling checkerboard,... | 4 | [
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0.0419921875,
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0.01031494140625,
0.0274658203125,
0.0625,
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0.017578125,
-0.08349609375,
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-0.048583984375,
0.026123046875,
0.02... | 45,593 | 45593 | |
Finding Miles Per Hour
Date: 03/06/2002 at 20:21:44
From: joshua
Subject: RPM (How to find mph)
Let's say I'm going 64.2 rpm. How many mph am I going? How do you
solve it?
Date: 03/06/2002 at 21:26:21
From: Doctor Twe
Subject: Re: RPM (How to find mph)
Hi Joshua - thanks for writing to Dr. Math.
That depends on ... | 4 | [
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0.06640625,
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0.083496093... | 45,594 | 45594 | |
proving a series converges
March 19th 2011, 09:25 PM #1
Member
Joined
Mar 2010
Posts
122
proving a series converges
i have obtained the series for In(1+x) how can i find the radius of convergence? i have tried the ratio test but this doesn't seem to work for [(-1)^k* x^(k+1)]/k+1
$ln(1+x)=x-\frac{x^... | 5 | [
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-0.057373046875,
0.057373046875,
-0.1... | 45,595 | 45595 | |
n has divisor 1<d<sqrt(n)
January 12th 2010, 06:47 PM #1
Junior Member
Joined
Oct 2009
Posts
66
Here is the problem. Let n be a positive integer, not = 1, and not prime, prove n has a divisor d such that 1<d<sqrt(n)
The way i began attacking this was by saying n is either even or odd. If n is even an... | 4 | [
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-0.048095703125,
0.07177734375... | 45,596 | 45596 | |
Multivariable calculus (implicit function)
March 29th 2012, 01:51 AM #1
Newbie
Joined
Mar 2012
From
Greece
Posts
10
Multivariable calculus (implicit function)
Let z a function of x,y near (2,1,-1) that is determined by $x^2z+xyz^3=-6$. If $x(t)=t^3-3t$ and $y(t) =3t^2-6t+1$, find $\frac{dz}{dt}$ for ... | 5 | [
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-0.09326... | 45,597 | 45597 | |
Point of intersection
June 22nd 2008, 07:15 PM #1
Super Member
Joined
Jun 2008
Posts
829
Point of intersection
Finding the point of intersection of straight through the points A (3,-5,2) and B (11,-3,6) with the straight (r): (x,y,z) = (5,-3,2) + t (4,-2,4).
Answer:
R (7,-4,4)
$\vec{s} = \... | 4 | [
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limit and dividing by n^(3/4) CORRECTION
April 16th 2010, 06:15 AM #1
Newbie
Joined
Apr 2010
Posts
19
limit and dividing by n^(3/4) CORRECTION
this is a simple question but i cant seem to get it.
I have to find
$<br /> [\lim_{n \to \infty} (n^{\frac{3}{4}})((n+1)^{\frac{1}{4}}- (n-1)^{\frac{1}{4... | 5 | [
0.05859375,
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0.037353515625,
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0.00787353515625,
0.03466796875,
... | 45,599 | 45599 |