content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Solving cubic equations in general
The method I am describing today was given by Girolamo Cardano-an Italian mathematician,who first showed this method in his book Ars Magna.
Let us attempt to solve the general cubic equation:
Later,I will show you how this method is used for some cubic equations.
The first step of... | 4 | [
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... | 46,400 | 46400 | |
Need to find four-figure number.
February 19th 2013, 03:15 AM
Sott
Need to find four-figure number.
Hello (Hi)
I need to find a four-figure number which can be divided by 7 and which can be written as a sum of square and cube of any natural number..
My English is not perfect, but I hope you will underst... | 4 | [
0.00118255615234375,
0.045654296875,
0.005828857421875,
0.0028533935546875,
0.01409912109375,
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0.0166015625,
0.0400390625,
0.033935546875,
0.00909423828125,
-0.0546875,
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0.01153564453125,
0.1162109375,
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-0.033935546875,
-0.03759765625... | 46,401 | 46401 | |
[SciPy-user] Python - Matlab least squares difference
A. Rachel Grinberg agree74 at hotmail.com
Sat Jun 17 01:17:35 CDT 2006
Robert,
Thanks for your response.
The solution to the least square problem minimizes the l2 norm of the
residuals. In my example the residual of Matlab's solution is
||A*(0,0,1)'-b|| = ||0|| ... | 5 | [
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0.010986328125,
0.060791015625,
-0.10... | 46,402 | 46402 | |
Choosing an Appropriate Sample Size
April 27th 2009, 05:58 PM #1
Newbie
Joined
Apr 2009
Posts
7
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The executives hire a statistical consultant and ask her to
determine the mea... | 5 | [
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0.03... | 46,403 | 46403 | |
sets prove question 1
December 8th 2008, 07:00 AM #1
MHF Contributor
Joined
Sep 2008
From
West Malaysia
Posts
1,261
sets prove question 1
(1) Prove that for any sets A and B ,
A = ( A n B ) u ( A n B' )
(2) Prove that A u B - A n B = ( A-(A n B ) u ( B - ( A n B ))
For #1: $\left( {B ... | 4 | [
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Are S(g) and U(g) isomorphic as g-modules for g Lie algebra over F_p ? Are S(g)^g and U(g)^g isomorphic as com.algs ?
up vote 11 down vote favorite
If $g$ is Lie algebra over field char(k)=0, then the following facts are well-known:
1) S(g) and U(g) are isomorphic as $g$-modules. (Symmetrization map S(g)->U(g) gives... | 5 | [
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0.038818359375,
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... | 46,405 | 46405 | |
Topological Generalization of Whitney's Extension Theorem
up vote 6 down vote favorite
2
From Wikipedia:
In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem. Roughly speaking, the theorem asserts that if $A$ is a closed
subset of a Eu... | 4 | [
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0.0218... | 46,406 | 46406 | |
Harmonic Mean
Date: 12/15/96 at 11:10:40
From: Gary Hasul
Subject: When and Why to use the Harmonic Mean
I have searched to net to find an explanation of why anyone would use
the harmonic mean. Most sites just define it or state the formula.
Some state that it is useful for speed and velocity problems. Your
site ta... | 4 | [
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Number Theory
©Allen Klinger
This subject is so playful that reading a children's book [1] presents much of it, aside from the changed terms. The author of that work, a philosopher, and his translator, both created readable
wo... | 4 | [
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Learning and Teaching Math
Once a set of learning objectives have been settled on for an activity, problem, or project, what should the problem’s context be? Since linear equations model situations where there is a constant
rate of change, common contexts for linear equation projects often include the following:
• S... | 4 | [
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... | 46,409 | 46409 | |
Occurence of trivial representation in a tensor square.
up vote 6 down vote favorite
3
Suppose $G$ is a group and $V$ an irreducible representation of $G$. One has that $V\otimes V\cong \Lambda^2(V)\oplus Sym^2(V)$. It is well-known that if the trivial representation appears as a
subrepresentation of $\Lambda^2(V)$ th... | 4 | [
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... | 46,410 | 46410 | |
Dual Spaces of Sobolev Spaces
up vote 2 down vote favorite
5
I will consider Sobolev spaces with $p=2$, only, so that they are Hilbert spaces. Hence the Sobolev inner product identifies each Sobolev space with its dual. In other words, I have an isomorphism
$W_m\to (W_m)^\ast$ given by $x\mapsto \langle x,\cdot\rangle... | 5 | [
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Properties of functors and their adjoints
up vote 22 down vote favorite
18
I am interested in collecting in this question a list of properties a functor $F$ may have and what those properties imply for left and right adjoints, $F^L$ and $F^R$, assuming they exist. There are
different types of functors and different ty... | 4 | [
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Need help for a proof, related to decimal representation of a rational number
June 3rd 2013, 05:48 AM #1
Junior Member
Joined
Apr 2011
From
Somwhere in cyberspace.
Posts
70
Thanks
2
Need help for a proof, related to decimal representation of a rational number
The problem appears in Tom Apostol's ... | 5 | [
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0.0214843... | 46,413 | 46413 | |
Fundamental groups of noncompact surfaces
up vote 20 down vote favorite
13
I got fantastic answers to my previous question (about modern references for the fact that surfaces can be triangulated), so I thought I'd ask a related question. A basic fact about surface topology
is that if $S$ is a noncompact connected surf... | 4 | [
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Solving Log Equations
I'm having problems with these equations in particular: (logx^1/2)-(logx^1/3)=log2 and log(base4)(x+2)+log(base4)(x-3)=log(base4)9 Thanks.
$log\cdot x^{\frac{1}{2}} - log \cdot x^{\frac{1}{3}} = log\,2$ Focus on the left of the equal sign. When you subtract logs, and they have like bases, you may... | 4 | [
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0.0815... | 46,415 | 46415 | |
Equation for eigenline
May 14th 2009, 01:27 AM
bobred
Equation for eigenline
Hi
Im having trouble with finding the equation of an eigenline. I can see that
$\left(\begin{array}{cc} 1 & 2\\<br /> 3 & 2\end{array}\right)\left(\begin{array}{c}<br /> x\\<br /> y\end{array}\right)=4\left(\begin{array}{c}<br... | 5 | [
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Combining Correlation Coefficients
up vote 2 down vote favorite
I have a large data set, A, containing 100 x/y pairs. I've divided it into two smaller data sets, B and C, containing 30 and 70 x/y pairs respectively.
I have Pearson's product-moment correlation r for each of the two smaller data sets, B and C. Can I co... | 5 | [
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GMAT Math: Rate Questions
Learn to master this common type of GMAT word problem!
Speed
Rate is another word for speed, and the equation for this is D = RT (which some people remember as the “dirt” equation). D = distance, R = rate (a.k.a. speed, a.k.a. velocity), and T = time. One
common source of errors is that al... | 4 | [
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Hadamard's product formula for the derivative
up vote 0 down vote favorite
Let $f$ be an entire function of order $ρ<\infty$. Assume that $f$ does not vanish identically on $\mathbb{C}$. Then, we know that $f$ has a Hadamard's product formula
$$ f(s) =e^{g(s)}s^{r}\prod _ {k=1}^{\infty}\frac{s _ {k}-s}{s _ {k}} e^{s... | 4 | [
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0.01165771484375... | 46,419 | 46419 | |
Intersection of two lines - simultaneous equations problem
April 9th 2011, 10:15 PM #1
Newbie
Joined
Apr 2011
Posts
8
Intersection of two lines - simultaneous equations problem
Hi,
I'm currently teaching myself a lot of math while working through a book on maths and physics for game programmers. I'v... | 4 | [
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need help on integers
If (AB)^2=CAD, where A,B,C & D are distinctive integers what is the value of X
I was wondering how to find x! And I think you mean "distinct" integers, not "distinctive" integers. There is no single solution to this. You are given (AB)^2= CAD. Of course, (AB)^2= A^2B^2 so A=
(CD)/B^2. Since CD/B^... | 4 | [
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... | 46,421 | 46421 | |
Factoring polynomials
September 27th 2007, 03:39 PM #1
Newbie
Joined
Sep 2007
Posts
11
Factoring polynomials
Hello, I need help factoring the following: 2x^3 - 5x - 3
I've gotten as far as using the payback method to get: x^3 - 5x - 6 but I can't seem to go beyond that.
Help is appreciated, tha... | 4 | [
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mathschallenge.net
Quadratic Differences
Problem
The positive integers, $x$, $y$, and $z$ are consecutive terms in an arithmetic progression. Given that $n$ is also a positive integer, for how many values of $n$ below one-thousand does the equation
$x^2 - y^2 - z^2 = n$ have no solutions?
Solution
Let $x = a + d$, ... | 4 | [
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0.06225... | 46,423 | 46423 | |
Would such polynomial identity exist? (related to sum of four squares)
up vote 5 down vote favorite
Let $f_1,f_2,f_3,f_4,f_5 \in \mathbb{Q}[x]$ be linear and coprime and not all constant.
Is it possible $ f_1^2+f_2^2+f_3^2+f_4^2=f_5^2$?
I suppose the answer is negative.
If this is possible, solving $f_5(x)=N$ w... | 5 | [
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-0.0069885253906... | 46,424 | 46424 | |
very basic PDE question
January 21st 2010, 01:15 AM #1
very basic PDE question
I want to find the general solution to $\frac{\partial u}{\partial t} - 2 \ \frac{\partial u}{\partial x} = 2$
so I let $\alpha = ax + bt$ and $\beta = cx+dt$
then $\frac{\partial u}{\partial t} = \frac{\partial u}{\partial \... | 5 | [
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0.033935546875,
-0.076171875,
-0... | 46,425 | 46425 | |
Complex manifolds in which the exponential map is holomorphic
up vote 17 down vote favorite
10
Let $X$ be a complex manifold and $g$ a hermitian metric on $X$. Consider the Riemannian exponential $\exp_p: T_p X \to X$.
If $\exp_p$ is holomorphic for every $p \in X$, then $(\exp_p)^{-1}$, suitably restricted, provide h... | 4 | [
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0.04589... | 46,426 | 46426 | |
Probability of a triangle
June 23rd 2006, 09:30 PM #16
JakeD
\begin{aligned}<br /> x + y &\ge 1 \\<br /> x^2 + y^2 &\le 1 \\<br /> 0 \le x &\le 1 \\<br /> 0 \le y &\le 1. \\<br /> \end{aligned}
I tried this but could not get much far.
$x=cosA (0<A<\frac{\pi}{2})$
$y=cosB (0<B<\frac{\pi}{2})$
... | 5 | [
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0.03271484375,
0.040283203125,
-0.002777099609375,
0.0289306640... | 46,427 | 46427 | |
Weekly Challenge 8: Sixinit
Copyright © University of Cambridge. All rights reserved.
'Weekly Challenge 8: Sixinit' printed from http://nrich.maths.org/
Yatir Halevi, Maccabim and Reut High-School, Israel proved that $n^3+11n$ is always divisible by $6$ using modular arithmetic modulus $6$.
For each $n$, we can hav... | 4 | [
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0... | 46,428 | 46428 | |
analytic method to find the intercepts and asymptotes of the functions
July 12th 2008, 07:19 PM
racersteve47
analytic method to find the intercepts and asymptotes of the functions
I would be so thankful if someone could help me with these equations:
I am to find the intercepts and asymptotes of the functions... | 4 | [
-0.01611328125,
0.0016937255859375,
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Greatest function satisfying some convexity requirements
up vote 11 down vote favorite
4
Edit: Even though there is an accepted answer, the problem isn't solved. I only accepted the answer, because there was a bounty on the question so I had to accept an incomplete answer.
I was working on a problem in discrete matem... | 5 | [
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-0.044433593... | 46,430 | 46430 | |
Math Help
January 29th 2008, 12:53 AM #1
Junior Member
Joined
Sep 2007
Posts
29
Deriv
Hiya
I need to deriv y=0.25*sin(4pi*T)
Am new to this kinda derving but i think it should be somthing like
0.25*cos(8pt*T)
but i think am way off can anyone please give me a hand.
I also need to... | 5 | [
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0.0588378906... | 46,431 | 46431 | |
Homework Help
Posted by University of Phoenix on Friday, August 26, 2011 at 9:40pm.
Create an equation of a nonlinear function and provide one positive and one negative value for x. Please show steps in how to solve it as well.
• Math 116 - Henry, Saturday, August 27, 2011 at 9:43pm
V(h,k)) = V(3,4), P(2,3).
... | 4 | [
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Hardy–Weinberg principle
Talk0
34,136pages on
this wiki
Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Biological: Beha... | 5 | [
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0.012390136718... | 46,433 | 46433 | |
Posts from June 2010 on Programming Praxis
article on Wolfram’s Blog, I sat down to work out a simulation of the knockout stage of the World Cup competition. I used the bracket shown at right, and found elo ratings of the sixteen teams, as of
that morning, at Wikipedia:
1 BRA Brazil 2082
2 ESP Spain 2061
3 NED Netherl... | 4 | [
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Three-point boundary value problems of fractional functional differential equations with delay
Abstract
In this paper, we study three-point boundary value problems of the following fractional functional differential equations involving the Caputo fractional derivative:
where , denote Caputo fractional derivatives, ... | 5 | [
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Factoring
Factor: a)64x^3+8 b)72x^3-108x^2-140x c)x^3+3x^2-6x-8 I've become so depended on my calculator that I actually forget how to factor...help! Thank you
The first one is the sum of two cubes. Remember the factoring for the sum of two cubes?. $(x+y)(x^{2}-xy+y^{2})$ You have $64x^{3}+8 = (4x)^{3}+(2)^{3}$ Now, u... | 4 | [
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Image of the Coproduct of a Hopf Algebra
up vote 3 down vote favorite
Let $H$ ba a Hopf algebra with coaction $\Delta: H \to H \otimes H$. Denote the action of $\Delta$ by $\Delta (h) = h_{(1)} \otimes h_{(2)}$. I was wondering if every element of $H$ can arise as a
$h_{(2)}$, for some $h$. To be more precise, for any... | 4 | [
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Help with solving system of equations
January 13th 2012, 05:38 AM
Matt93
Help with solving system of equations
This is on the study guide for my final exam. I've spent over half an hour trying to get this problem solved and yet I still find myself stumped. Here's the problem:
Bobby gets $20 dollars for each... | 4 | [
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CS 307: 8. Symbolic Algebra
CS 307: 8. Symbolic Algebra
Due: Friday, October 26, 2001.
All computer languages can perform numerical computations. Lisp can also manipulate formulas symbolically. We will represent equations in Lisp notation; for example, the equation f = m * a is written
(= f (* m a)).
1. Write a re... | 5 | [
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0.140625,
-0.115234375,
0.06640625,
... | 46,439 | 46439 | |
On a tentative generalization of the Schmidt decomposition
up vote 8 down vote favorite
1
Background
I am a PhD student in Physics and I am currently developing quite refined computer codes that allow to simulate many-body quantum systems living on a lattice. The difficulty resides in the fact that
the corresponding ... | 4 | [
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0.053466796875,
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Calculation of Radiant Section Temperatures in Fired Process Heaters
Hassan Al-Haj Ibrahim^1, , M. Mourhaf Al-Qassimi^1
^1Department of Chemical Engineering, Al-Baath University, Homs, Syria
Abstract
Flame and effective gas temperatures are key variables that need to be accurately determined before analysis of heat... | 5 | [
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Transformations
2.12: Transformations
Created by: CK-12
Translations
Translation or Transformation – The words translation and transformation look and sound quite similar to students at first. Emphasis their relationship. A translation is just one of the many
transformations the students will be learning about in th... | 5 | [
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0.060546875,
... | 46,442 | 46442 | |
Finding certain real numbers...
September 11th 2009, 07:53 PM
BeSweeet
Finding certain real numbers...
I need to find two positive real numbers whose product is a maximum and where the sum of the first and three times the second is 60.
And apparently, there're 5 steps to doing this, and I know none of them:... | 4 | [
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0.0849609375,
0.08837890625,
-0.08349609375,
0.005340576171... | 46,443 | 46443 | |
searching for an elementary proof a complex analysis result
up vote 4 down vote favorite
1
Given a function $ g $ entire on the whole complex plane $ C $, it is possible to find an entire function $f $ such that $ f(z+1) -f(z)=g(z) $. The proof can be given using riemann
surface,automorphy,covering,etc. Can anyone fin... | 4 | [
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-0.020751953125,
-0... | 46,444 | 46444 | |
Math Mama Writes...
I got interested in this problem last summer at the
Math Circle Institute
, held at Notre Dame. I have a bad memory and am having fun reconstructing what we figured out together there.
Introduction to Pythagorean Triples
The Pythagorean Theorem tells us that a right triangle with legs
a
and
b... | 4 | [
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0.0625,
-0.09423828125... | 46,445 | 46445 | |
[SOLVED] Quadratic Equation
May 2nd 2008, 04:35 AM #1
[SOLVED] Quadratic Equation
Question:
Find the value of $x$ when $y = 0$
$y = \frac{2x - 1}{x + 3}$
Attempt:
$(2x - 1)(x + 3)^{-1} = 0$
$(2x - 1)(x^{-1} + \frac{1}{3}) = 0$
$2 + \frac{2}{3}x - x^{-1} - \frac{1}{3} = 0$
$\frac{2... | 4 | [
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-0... | 46,446 | 46446 | |
[SOLVED] the set of zero-divisors of a ring
March 19th 2010, 02:26 AM #1
Junior Member
Joined
Jan 2010
Posts
59
Thanks
3
[SOLVED] the set of zero-divisors of a ring
let $R$ be a non-commutative ring, and define $D(R)$ to be the set of zero-divisors of the ring . Suppose that $z^2=0$ , for any $z \in ... | 5 | [
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0.0157470703125,
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-0.0361328125,
0.0142822265625,
0.04394... | 46,447 | 46447 | |
some more problems!!
May 24th 2007, 01:22 PM #1
Junior Member
Joined
May 2007
Posts
36
i have not able to answer any of that at all , i feel that i will never pass the final year exam with all that stress on my head ...need please ,but only if u guys know any them .
1. Find $\frac {dy}{dx}$ at $x=2$ ... | 5 | [
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-0.021484375,
-0.0712890625,
... | 46,448 | 46448 | |
Math Help
July 5th 2006, 04:02 PM #1
Junior Member
Joined
Jun 2006
Posts
53
Proof
I think this goes in this section.
Let x be a real number. Prove that
abs(sin nx) <= n*abs(sinx) for all positive integers n.
Nichelle14
I think this goes in this section.
Let x be a real number. Pr... | 5 | [
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-0.007598876953125,
0.1064453125,
0.01... | 46,449 | 46449 | |
Integration Transformations Proof
December 2nd 2009, 12:48 PM #1
Newbie
Joined
Jul 2009
Posts
7
Integration Transformations Proof
I was told this was a rather easy question, but I'm having troubles sorting it all out....
Given that $f$ is an integrable function on $[a,b]$, prove
1) For any $c>0... | 5 | [
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0.009521484375,
0.00115966796875,
-0.0... | 46,450 | 46450 | |
An interesting geometry question.
Author An interesting geometry question.
posted
Ranch Hand
Hi All,
Joined: This is one of the questions that I liked most of all in my teaching year. By the way, vast majority di... | 5 | [
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0.06298828125,
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0.0458984375,
-0.046875,
-0.010864... | 46,451 | 46451 | |
Double angle formula
March 11th 2012, 10:01 PM
Hooperoo
Double angle formula
Hi ya'll. Quick question
using double angle formula, verify that
csc(2theta) - cot (2theta) = tan theta
im so very confused.
Working would be helpful to thanks :)
March 11th 2012, 10:19 PM
princeps
Re: Double angl... | 4 | [
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0.0186767578125,
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0.01574... | 46,452 | 46452 | |
help...inductive proof???
February 16th 2008, 07:44 AM
memb3rme
help...inductive proof???
can someone help me how to prove this...?
Prove by induction that the number of 2-subsets of an n-set A equals n(n-1)/2. [hint: Let x be any object of A and B=A-{x}. Then a 2-subset of A is either a 2-subset of B or a ... | 4 | [
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0.1181640625,
0.0137939453125,
-0.0688... | 46,453 | 46453 | |
Homework Help
Posted by Cekenna on Sunday, June 9, 2013 at 8:12pm.
*The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all
other variables are held constant, explain how the value of z is influenced by each of the following:
a. Increasing the difference between the sam... | 4 | [
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0.0308837890625,
... | 46,454 | 46454 | |
Solving differential equations using Frobenius Series
December 31st 2008, 06:56 AM #1
Newbie
Joined
Dec 2008
From
Gallifrey
Posts
7
Solving differential equations using Frobenius Series
I wish to solve:
y'' x^2 - xy' + (1-tx) y = 0 where t is a constant.
so if we try a Frobenius series
... | 4 | [
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-0.09716796875,
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0.08203125,
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-0.0859375,
... | 46,455 | 46455 | |
simplify log
1. November 16th 2007, 12:52 AM #1
2. November 16th 2007, 01:20 AM #2
Hello,
you are supposed to know that:
$-\ln\left(\frac ab \right) = \ln(1)-\ln\left(\frac ab \right) = \ln\left(\frac{1}{\frac ab} \right) = \ln\left( \frac ba \right)$
Now consider your first equ... | 4 | [
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Interesting problem about blood...Help please :)
Hi guys, am new here so go easy on me Help plzzz
Last edited by shabz; March 20th 2009 at 04:08 AM.
I may have messed up on the way so here is the full problem... The drug is removed by the patient's kidneys a rate which is proportional to the concentration of the drug... | 4 | [
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0.0673828125,
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0.055664... | 46,457 | 46457 | |
Closed Formula for Generating Function
Hi Guys, Question: what is closed formula for generating function 1 /(1-2x^2)? Thanks Chicago Boy
The Taylor expansion of $f(x)$ around $x=0$ is... $f(x) = \frac{1}{1- 2\cdot x^{2}} = 1 + 2\cdot x^{2} + 4\cdot x^{4} + \dots + (2\cdot x^{2})^{n} + \dots = \sum_{n=0}^{\infty} (2\cd... | 5 | [
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0.024169921... | 46,458 | 46458 | |
Some questions from the paper "Forcing the failure of CH by adding a real" by Shelah and Woodin
up vote 4 down vote favorite
3
1-Let $P=Add(\omega_1, \kappa)$, and let $D$ be a dense open subset of $P$. Then there is a dense subset $S$ of $D$ such that for every $f \in S$ and any $g \in P$, if $domf=domg$ and the set ... | 5 | [
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0.0220947265625,
-0.0255126953125,
-0.01043701171875,
-0.0... | 46,459 | 46459 | |
Calculating Total and Weighted Total in the Gradebook
About Totals
Current Gradebook calculations for Total and Weighted Total include item that have not been scored. For example, picture a course where the grade is determined by two tests weighted equally. Using
the current Gradebook settings, a Student with a score... | 4 | [
-0.00130462646484375,
0.06005859375,
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0.01123046875,
-0.0007171630859375,
... | 46,460 | 46460 | |
The Jouanolou trick
up vote 17 down vote favorite
15
In Une suite exacte de Mayer-Vietoris en K-théorie algébrique (1972) Jouanolou proves that for any quasi-projective variety $X$ there is an affine variety $Y$ which maps surjectively to $X$ with
fibers being affine spaces. This was used e.g. by D. Arapura to (re)pro... | 4 | [
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0.0279541015625,
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0.01507... | 46,461 | 46461 | |
Homework Help
Posted by Alicia on Friday, June 12, 2009 at 10:16am.
Given that f(x) = x^2-3 and g(x) = 2x+1, find each of the following, if it exists.
a. (fg)(-root3)
b. (gf)(-1/2)
• Algebra - Reiny, Friday, June 12, 2009 at 11:19am
do you mean f(g(x)) ?
f(g(x))
= (g(x))^2 - 3
= (2x+1)^2 - 3
... | 4 | [
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0.000774383544921875,
0.0400390625,
-0.1005859375,
0.00756... | 46,462 | 46462 | |
dy
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Educate_Me Group Title
Use substitution. 2... | 4 | [
-0.0072021484375,
-0.00188446044921875,
0.0157470703125,
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0.0274658203125,
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... | 46,463 | 46463 | |
Introduction to Differential-Algebraic Equations (DAEs)
WOLFRAM LANGUAGE TUTORIAL
Introduction to Differential-Algebraic Equations (DAEs)
The systems of equations that govern certain phenomena (in electrical circuits, chemical kinetics, etc.) contain a combination of differential equations and algebraic equations. Th... | 4 | [
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0.060302... | 46,464 | 46464 | |
Conditional distribution of the modulus of the output of AWGN channel given the modulus of the input
up vote 0 down vote favorite
Hi everyone,
I will be too happy if anybody help me find a solution for the following problem. In fact, I have a big problem that I could not solve it for weeks.
Assume that we have we h... | 5 | [
-0.0125732421875,
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0.09375,
-0.02099609375,
-0.... | 46,465 | 46465 | |
Math Help
July 2nd 2008, 07:40 PM #1
Newbie
Joined
Jun 2008
Posts
24
help me plz!
hi again, i need more help plz! i'm about to cry.
---------------------------------------------------------
Find the inverse of
---------------------------------------------------
Given that
Hint, ... | 4 | [
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-0.0140380859375,
0.08349609375,
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0.060302734375,
-0.02758789062... | 46,466 | 46466 | |
Posts about Quantum Field Theory on The Gauge Connection
This week I was in Bari as the physics department of that university organized a major event: SM&FT 2011. This is a biennial conference having the aims to discuss recent achievements in fields as
statistical mechanics and quantum field theory that have a lot of ... | 4 | [
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0.0216064453125,
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-0.047119140625,
0.042236328125,
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0.03662109375,
-0.059326171875,
0.0191650390625,
0.00439453125,
-... | 46,467 | 46467 | |
help on a calculus problem
September 9th 2008, 09:14 PM #1
Junior Member
Joined
Sep 2008
Posts
28
help on a calculus problem
find the change in elevation when X=2 for the path modeled by the function:
f(x)=0.04(8x-x^2), where x and f(x) are measured in miles...how can this problem be estimated using ... | 4 | [
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-0.0272216796875,
0.020019... | 46,468 | 46468 | |
Solving x^3 + y^3 + z^3
Date: 02/22/2003 at 08:06:53
From: Martin
Subject: Solving x^3 + y^3 + z^3
Given: x + y + z = 0; x * y * z = 2; x,y,z are not equal to each
other; x,y,z all real numbers.
Solve for x^3 + y^3 + z^3
When doing the algebra, what to do with the terms with x^2, y^2, or
z^2 ?
I start off with (x ... | 5 | [
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... | 46,469 | 46469 | |
Disease Probability
September 25th 2007, 08:15 AM #1
Disease Probability
6
One percent of the population suffers from a certain disease. There is a blood test for this disease, and it is 99% accurate, in other words, the probability that it gives the correct answer is
0.99, regardless of whether the pers... | 4 | [
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0.0267333984375,
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-0.04443359375,
-0.047... | 46,470 | 46470 | |
n Choose k Formula
Prove by induction on n that "n choose k" = (n!) / k!(n-k)! Thanks in advance!
Why in the world do you not learn to post in symbols? You can use LaTeX tags. [tex]\binom{N}{K}=\frac{N!}{K!(N-K)!}[/tex] gives $\binom{N}{K}=\frac{N!}{K!(N-K)!}$. We can then read your question.
This formula was derived... | 5 | [
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0.078125,
0.004302978515625,
0.... | 46,471 | 46471 | |
unitary,close to it seflf defintion question
July 26th 2011, 03:16 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
unitary,close to it self defintion question
there is A matrices order n over C.we define $M_{nxn}^{c}$ a transformation T as T(B)=AB for every B $\in M_{nxn}^{c}$
A.prove that if A uni... | 4 | [
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0.039794921875,
0.03393554687... | 46,472 | 46472 | |
Math Help
A tank contains Find the amount of salt in the tank after
You should know how to set up the differential equation that models this situation: $\frac{dx}{dt} = (0.04)(8) - \left(\frac{x}{1000}\right) (8)$ where x is the amount (kg) of salt in the tank at
time t. That is, $\frac{dx}{dt} = \frac{40 - x}{125}$,... | 4 | [
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... | 46,473 | 46473 | |
Rules of Inference
The construction of truth-tables provides a reliable method of evaluating the validity of arguments in the propositional calculus. We can always tabulate the truth-values of premises and conclusion,
checking for a line on which the premises are true while the conclusion is false. Although this metho... | 5 | [
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0.0693359375,
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0.006622314453125,
-0.130859375,
0... | 46,474 | 46474 | |
Does every ellipse inside a tetrahedron inside a ball fit in a triangle inside the ball?
up vote 18 down vote favorite
2
In three-dimensional euclidean space, consider the closed unit ball $B$. Let $T$ be a tetrahedron, and $E$ an ellipse, with $E \subset T \subset B$. Does there necessarily exist a triangle $T'$ with... | 4 | [
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... | 46,475 | 46475 | |
for what value of c will the circle with equation x^2+6x+y^2-4y+c=0 have a radius of
for what value of c will the circle with equation x^2+6x+y^2-4y+c=0 have a radius of 4?
The center of the circle is found by comparison. It is $(g=-3,f=2)$ The Radius can be found from an equation of a general formula by $R=\sqrt{g^{2... | 4 | [
0.045166015625,
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0.00140380859375,
-0.03930664062... | 46,476 | 46476 | |
LOG and EXP Calculations
October 14th 2009, 11:32 AM #1
Newbie
Joined
Oct 2009
Posts
1
Hi all, I am on a Paramedic Science Degree Course, but I am expected to be able to do a level of maths above my original school training.
My problem is that we are using logarithms and exponential calculations, but... | 4 | [
-0.034912109375,
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-0.014... | 46,477 | 46477 | |
A line bundle not big but with good intersection numbers
up vote 6 down vote favorite
2
Let $X$ be a complex projective manifold of complex dimension $n$ and $A\to X$ an ample line bundle. Let $L\to X$ be a line bundle such that $$ c_1(L)^k\cdot c_1(A)^{n-k}>0,\quad k=1,\dots,n. $$ Is
it true that then $L$ is big?
Th... | 5 | [
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0.0478515625,
-0.05322265625,
-0.... | 46,478 | 46478 | |
Integration Help
July 10th 2009, 03:12 PM #1
Newbie
Joined
Jul 2009
Posts
18
Integration Help
Hey guys, I'm new to integration and these are giving me a really rough time, even just a push in the right direction would be great. Thanks for taking a look! So far, I've only learned the basic
integration... | 5 | [
0.06201171875,
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0.0634765... | 46,479 | 46479 | |
How to differientiate these Polynomial functions
June 26th 2008, 11:19 PM #16
if by "take out the negative sign" you mean "factor out -1" then, uh, yeah, you can do that whenever. whatever looks best to you.
Btw... how do u guys get that text i want to like make my own online source of solving homework ques... | 5 | [
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0.0634765625,
-0.013427734375,
0.03808... | 46,480 | 46480 | |
Maximum sum of 3 consecutive numbers in a permutation
up vote 0 down vote favorite
Given that $X = \{0, 1, 2, ..., 7, 8, 9\}$, and $P$ is a permutation on $X$. Let $M(P)$ be the maximum sum of 3 consecutive elements. For example, if $P = (0, 2, 4, 1, 5, 7, 9, 3, 8, 6)$, then $M(P)$
is the maximum integer among $6, 7, ... | 5 | [
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... | 46,481 | 46481 | |
positive definite matrix and inner products
December 2nd 2009, 12:11 AM
waterspark
positive definite matrix and inner products
I'm trying to prove that if A is a positive definite Hermitian matrix, <x,y>' = <Ax,y> defines an inner product.
So far I've only got $<cx,y> = c<x,y>$
I'm having trouble with ... | 4 | [
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-0.037353515625,
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0.06494140625,
0.01904296875,
0.009... | 46,482 | 46482 | |
Homework Help
Posted by sam on Friday, May 9, 2008 at 12:43am.
Use implicit differentiation to find the equation of the tangent line to the curve xy3+xy=14 at the point (7,1) . The equation of this tangent line can be written in the form y=mx+b
i dont seem to no how to find m or b
• math - JP, Friday, May 9, 2008 ... | 4 | [
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matrix graph grammars
The very basics of graph dynamics: completion and compatibility
A production in MGG specifies some Boolean matrix operations. The first thing to do is to "complete" the matrices so the Boolean operations make sense. This is not a trivial fact because not only the
number of elements in the matrice... | 4 | [
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0.02... | 46,484 | 46484 | |
Cycle of length 4 in an undirected graph
up vote 0 down vote favorite
1
Can anyone give me a hint for an algorithm to find a simple cycle of length 4 (4 edges and 4 vertices that is) in an undirected graph, given as an adjacency list? It needs to use $O(v^3)$ operations
(v is the number of vertices) and I'm pretty sur... | 5 | [
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BU with tensor product H-space structure
up vote 10 down vote favorite
4
Hi,
I came across the space $BU_\otimes$ when struggling with twisted K-theory. Segal proved that this is an H-space, right? I have read a dozen times by now that the group $[X, BU_\otimes]$ consists of
the vector bundles of virtual dimension 1.... | 4 | [
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Help me solve this equation please.
This forum is for introductions. The forums most appropriate for this topic is either algebra or pre-calculus. Anyway, I think I would rewrite the equation as follows: $3^{\sqrt{x}-1}+3^{2-\sqrt{x}}
-12=0$ Multiply through by $3^{\sqrt{x}+1}=3\cdot3^{\sqrt{x}}$: $\left(3^{\sqrt{x}} \... | 4 | [
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... | 46,487 | 46487 | |
linear function...??
April 1st 2009, 07:31 AM
bobchiba
linear function...??
I've tried to simplify the following example as much as possible for ease of reading...
A manufacturer finds that for a new model, at £240 a unit, 20 units per week are sold. However, during promotion, the model was priced a... | 4 | [
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... | 46,488 | 46488 | |
Wanted: example of a non-algebraic singularity
up vote 26 down vote favorite
11
Given a finitely generated $\def\CC{\mathbb C}\CC$-algebra $R$ and a $\CC$-point (maximal ideal) $p\in Spec(R)$, I define the singularity type of $p\in Spec(R)$ to be the isomorphism class of the
completed local ring $\hat R_p$, as a $\CC$... | 4 | [
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Plane region in polar coordinates
August 27th 2010, 02:11 PM #1
Member
Joined
May 2010
Posts
241
Plane region in polar coordinates
Hi there. I must express the next region in polar coordinates:
$\{x\in{R^2:x^2+y^2\leq{2y}}\}$
So, this is what I did to visualize the region:
Completing the sq... | 4 | [
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Solve y = x + 1/x with 0 \< x \< 1 for x in terms of y.
September 20th 2010, 01:35 PM
hsidhu
Solve y = x + 1/x with 0 \< x \< 1 for x in terms of y.
I need help with this assignment, Problem 3:
Solve y = x + 1/x with 0 \< x \< 1 for x in terms of y.
Any clues as to how to do this, would be greatly appr... | 4 | [
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Equivalence Relation Proof
August 4th 2009, 02:51 AM
Roam
Equivalence Relation Proof
Define a relation ~ on N whereby a~b if and only if there exists $k \in Z$ such that $\frac{a}{b} = 2^k$.
(a) Prove that ~ is an equivalence relation.
(b) Write out the equivalence classes for ~ on the set {1,2,3,....10... | 5 | [
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-0.025512695312... | 46,492 | 46492 | |
Probability
July 17th 2013, 07:28 AM
alexander9408
Probability
If a year is taken to have 365 days, including 29 February, and there are n (1<n<=365) people, show that the probability that at least two people have the same birthday is 1-(365!)/( (365^n)
(365-n)! ).
Don't have any idea about this one, ple... | 4 | [
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... | 46,493 | 46493 | |
Commutativity of limit using epsilon-delta
January 8th 2009, 07:56 AM #1
Commutativity of limit using epsilon-delta
I'm trying to write a delta-epsilon proof that:
$\lim_{x\to a}kf(x)=k\left(\lim_{x \to a}f(x)\right)=b\quad\text{(k is constant)}$
I know that $\lim_{x\to a}kf(x)$ exists if $\forall\epsil... | 4 | [
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... | 46,494 | 46494 | |
partial differential equation
May 13th 2011, 01:40 PM
mlazos
partial differential equation
Hi, I have the differential equation
$\frac{ \partial z }{ \partial x } + \frac{ \partial z }{ \partial y } = z^2$. Satisfied by $z(x,y)$, where $z = f(x)$ on y=0 and x is between minus to plus infnity, show that the s... | 4 | [
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0.0024871826171875,
-0.053222... | 46,495 | 46495 | |
dy
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help2013 Group Title
solve inequality
•... | 4 | [
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Optimisation
The sum of two numbers is 70. Find the numbers if their product is a maximum. Show steps please!
Let $x$ and $y$ be positive numbers. Thus, $x+y=70$ However, their product $P=xy$ must be a maximum. Since $x+y=70\implies x=70-y$ Thus, we see that $P=(70-y)y\implies P=70y-y^2$ Since it has to be a
maximum, ... | 5 | [
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Mechanical Engineering Design 8th Edition Chapter 15 Solutions | Chegg.com
15-1 Given: Uncrowned, through-hardened 300 Brinell core and case, Grade 1, N[C] = 10^9 rev of pinion at R = 0.999, N[P] = 20 teeth, N[G] = 60 teeth, Q[v] = 6, P[d] = 6 teeth/in, shaft angle 90°, n
[p] = 900 rev/min, J[P] = 0.249 and J[G] = 0.21... | 4 | [
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0.045410... | 46,498 | 46498 | |
Quotient of polynomial ring is a localization of a polynomial ring
October 22nd 2011, 06:33 PM #1
Member
Joined
Nov 2010
Posts
193
Quotient of polynomial ring is a localization of a polynomial ring
Let $p(x,y,z)=z^3-y(y^2-x^2)(x-1)\in k[x,y,z]$, where $k$ is an algebraically closed field. The goal is to ... | 4 | [
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