content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Rational Equations
Date: 06/07/97 at 23:06:53
From: Catherine McDonald
Subject: Polynomials
I'm in 9th grade and I have a final coming up. I thought I'd try to
understand how to solve rational equations before I get to the final.
For something like (1/x+1) - (1/x+2) = 1/2, I understand the cross
multiplying part, b... | 4 | [
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Linear combination and a proof for the area.
April 8th 2011, 09:03 AM
mechaniac
Linear combination and a proof for the area.
http://dl.dropbox.com/u/25711584/algebra.jpg
$|DF|=3|AF|$
$|BE|=\frac{1}{2}|BC|$
* express $\bar{AG}$ as a linear combination of the vectors u= $\bar{AB}$ and v= $\bar{AD}$.... | 5 | [
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0.01251220703... | 43,101 | 43101 | |
$Q(\sqrt{2})=Q((\sqrt{2}+1)^n)$
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Observe that we have $Q(\sqrt{2})=Q((\sqrt{2}+1)^n)$.
More generally, assume that $K$ is a finite extension ... | 5 | [
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Method for Determining the Geographic Coordinates of Pixels in SAR Images
Patent application title: Method for Determining the Geographic Coordinates of Pixels in SAR Images
Sign up to receive free email alerts when patent applications with chosen keywords are publishe... | 4 | [
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Numerical Methods for the Solution of Optimal Feedback Control ...2011120220
Numerical Methods for the
Solution of Optimal Feedback
Control Problems
Steven James Richardson
This thesis is presented for the degree of
Doctor of Philosophy
of... | 4 | [
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A bound on the top homology of a complement to a variety in $\mathbb C^n$
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $V$ be a subvariety of $\mathbb C^n$ with irreducible components of dimension >$0$. Is $H_{2n-1}... | 4 | [
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Simple trig equation
December 28th 2012, 10:19 AM #1
Member
Joined
Sep 2012
From
U.K.
Posts
88
Simple trig equation
5sin(A)cos(A) - sin(A) = 0 (A is between 0 and 360 degrees)
by dividing through by sin(A) I get:
cos(A) = 1/5
so A = 78.5, 281.5
Though clearly A = 0 also satisfies ... | 4 | [
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Measures of Variability
David M. Lane
Prerequisites
Percentiles, Distributions, Measures of Central Tendency
Learning Objectives
1. Determine the relative variability of two distributions
2. Compute the range
3. Compute the inter-quartile range
4. Compute the variance in the population
5. Estimate the varianc... | 4 | [
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Second-Rate Minds
Executive Summaries from Less than Successful Research Proposals
Wednesday, November 14, 2012
Funerary-Network Analysis(July 15th, 2012)
Social Network analysis is a hot topic within both mathematics and the social sciences, but all of the research thus far has focused on identifying networks that ... | 4 | [
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Mean of random variable
March 31st 2008, 02:38 PM #1
Newbie
Joined
Mar 2008
Posts
18
Mean of random variable
Hello guys, we are starting random variables and I know that the mean of a random variable is the function times the probability for all x's (right?), but I am lost with the next two problems.
... | 4 | [
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Minimizing Boolean Functions
Introduction
This document describes graphical and algebraic ways to minimize boolean functions. It includes a Java program that you can use to experiment with the algebraic algorithm outlined below. The subject
of minimization is also covered in many textbooks, articles, and other web si... | 5 | [
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Google Top Interview Puzzles
Hi Friends,
I gathered some of the important and top interview questions of Google from different people interviews. I hope This post helps those who are preparing for the Google Interview.
1. There is an array A[N] of N numbers. You have to compose an array Output[N] such that Outp... | 5 | [
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Choosing 4 cards of different suits and different values from a deck of 52 cards.
October 23rd 2009, 08:10 AM #1
Newbie
Joined
Oct 2009
Posts
2
Choosing 4 cards of different suits and different values from a deck of 52 cards.
Hello All,
Please help me solve this problem:
How many ways are there ... | 4 | [
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EM Wave Equation_1_
Topic 5: Schrödinger Equation
• Wave equation for Photon vs. Schrödinger equation for Electron+ • Solution to Schrödinger Equation gives wave function – 2 gives probability of finding particle in a certain region • Square Well Potentials: Infinite and Finit... | 5 | [
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simplify radical
i need to simplify the square root of 1/5 how would i go about doing this?
sqrt(1/5) = sqrt(1)/sqrt(5) = 1/sqrt(5) However, we usually don't want radicals on the denominator, so we need to "rationalize" the denominator by multiplying both the numerator and denominator by
sqrt(5): 1/sqrt(5) * sqrt(5)/s... | 4 | [
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-... | 43,114 | 43114 | |
An Advanced Motion Detection Algorithm with Video Quality Analysis for Video ......
Important: Use custom search function to get better results from our thousands of pages
Use " " for compulsory search eg:"electronics seminar" , use -" " for filter something eg: "electronics semi... | 4 | [
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gauss jordan help
March 30th 2009, 11:22 AM #1
Newbie
Joined
Feb 2009
Posts
7
gauss jordan help
Ok here I am working on this problem for like 3 hours to no avail.
x1 + x2 = 1
-x1 + x2 + x3 = -1
-1x2 + x3 = 3
I am trying to solve this in matrix form and get the point of multiplaying a c... | 5 | [
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Sunday FunctionSunday Function
And now, two quick notes before we get to business:
1. God help me, but I’ve joined the Twitter bandwagon. Here I am, @BuiltOnFacts. Though it goes under this blog’s name, it is more of a “personal” account. So you’ll be reading some incomprehensible
personal minutiae, random observation... | 4 | [
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Applications of ElectrostaticsThe Van de Graaff GeneratorTake-Home Experiment: Electrostatics and HumidityXerographyLaser PrintersInk Jet Printers and Electrostatic PaintingSmoke Precipitators and Electrostatic Air Cleaning Problem-Solving Strategies for ElectrostaticsIntegrated ConceptsAcceleration of a Charged Drop o... | 5 | [
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[SOLVED] sum of series
April 11th 2010, 09:11 PM #1
Junior Member
Joined
Feb 2010
Posts
42
[SOLVED] sum of series
I am supposed to tell whether this converges or diverges and if it converges tell what it converges to. I'm unclear on how to do the last part.
the summation from n=0 to infinity of 3^(n... | 4 | [
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Conditional number problem
August 13th 2010, 10:03 PM #1
Newbie
Joined
Aug 2010
Posts
5
Conditional number problem
I am assisting a programming comp, and our team had a practice question for finding values a,b,c such that:
a^3 - b^3 - c^3 = 100
Currently, we had the idea of doing random number ... | 4 | [
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estion
┏━━━━━━━━━━━━━━━━━━━━━┓
┃Mathematics Warm Ups:┃
┃ Pythagorean Theorem ┃
┗━━━━━━━━━━━━━━━━━━━━━┛
1. What nationality was Pythagoras?
Answer: Greek
2. What is the Pythagorean Theorem?
Answer:
In a right triangle if a and b are the measures of the legs and c is the measure of the hypotenuse... | 4 | [
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Indexing terms_ Blind separation of noisy signals_ correlation
A Robust Whitening Procedure
in Blind Source Separation Context
Adel BELOUCHRANI and Andrzej CICHOCKI
Electrical E... | 4 | [
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integrability question
September 2nd 2011, 04:45 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
integrability question
3b) show an example for a function wich is bounded and exists in [a,b]
but its not integrabile.
prove that its not integrabile by definition
3c)calculate $\int\frac{ln(x^{... | 5 | [
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"Probabilistic ultrafilters?"
up vote 9 down vote favorite
2
A naive question.
Let $S$ be a set and let $[0,1]^S$ the set of functions from $S$ to the closed interval $[0,1]$.
Suppose given some function $P \colon [0,1]^S \to [0,1]$ satisfying the following three conditions:
1. If $f \geq g$ everywhere on $S$, the... | 4 | [
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Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: shapes of atoms are the stacking of toruses #1728 ... | 4 | [
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Hartshorne's proof of the birational invariance of the geometric genus
up vote 2 down vote favorite
I am confused about a couple of steps in the proof of the birational invariance of the geometric genus (Theorem II.8.19 in Hartshorne's Algebraic Geometry).
I shall sketch the proof and highlight my doubts.
Let $X,X'$... | 4 | [
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A Narrow Margin
A Combinatorial Proof for the Power Sum
Probably the most common formula for the power sum $\displaystyle \sum_{k=0}^n k^m$ is the one involving binomial coefficients and Bernoulli numbers $B_k$, sometimes called Faulhaber’s formula:
$\displaystyle \sum_{k=0}^n k^m = \frac{1}{m+1} \sum_{k=0}^m \binom{... | 5 | [
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A Tangent to a Graph
Quote:
$16 x e^{4x^2} = 3$ cannot be solved in closed form using algebra. You're undoubtedly expected to use technology to get an approximate solution to a given number of decimal places.
Dear friends,
I had thought of this problem for some time. I think this curve does not conta... | 5 | [
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0.0859375,
0.053955078125,
0.032958984375,
-0.037353515625,
0.0126342... | 43,128 | 43128 | |
hyperbolic function
how do you prove that tanh^-1 [(x^2-a^2)/(x^2-a^2)] = ln (x/a) ? many thanks in advance for any tips/answers
$\begin{gathered}<br /> a\tanh \left( {\frac{{x^2 - a^2 }}<br /> {{x^2 + a^2 }}} \right) = \ln \left( {\frac{x}<br /> {a}} \right) \hfill \\<br /> \hfill \\<br /> \leftrightarrow \frac{{x^2 ... | 5 | [
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HELP - Probability Trees!
December 2nd 2006, 12:12 PM #1
Junior Member
Joined
Aug 2006
Posts
36
HELP - Probability Trees!
Hi Guys, I have the following problem. Could anybody point explain to me how to solve this problem using probability trees?
Q) Companies A, B and C are producing nails. 30%, 45% ... | 4 | [
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... | 43,130 | 43130 | |
Intuitive explanation to Probability question
up vote 6 down vote favorite
5
I have \$3. I flip a coin. If I get heads, I get \$1. If I get tails, I lose \$1. The game stops when I have \$0 or \$7. What is the probability I get \$7?
I solved this by creating a system of linear equations, where $P_0 = 0$, $P_7 = 1$, a... | 5 | [
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Soft Input Viterbi decoder
In two previous posts, we have discussed Convolutional Coding and the associated hard decision Viterbi decoding. In this post lets extent Viterbi decoding algorithm to soft input decision scheme. The
modulation used is BPSK and the channel is assumed to be AWGN alone.
System Model
The rece... | 4 | [
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New Features in Maple 16 – Physics - Maplesoft
New Features in Maple 16: Physics
Maple has the most comprehensive support for physics of any mathematical software package.
Read more…
The Maple Physics package delivers world-leading tools for performing calculations in theoretical physics. It works naturally wit... | 4 | [
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-0.0000457763671875... | 43,133 | 43133 | |
dy
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Connect with other students for help. It's a free community.
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Here's the question you clicked on:
sauravshakya Group Title
Prove OR Disprove... | 5 | [
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-0.030029296... | 43,134 | 43134 | |
Second lowest weight piece of the cohomology of an algebraic variety
up vote 2 down vote favorite
1
If $U$ is a smooth algebraic variety, then one can give a simple description of the lowest weight part of its cohomology: if $X$ is a smooth compactification and $j \colon U \to X$ the inclusion,
then $$ W_k H^k(U,\math... | 4 | [
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... | 43,135 | 43135 | |
How would you undo these?
1/h(x+h)^2 1/hx^2 What would you do to make the above rationals NOT be over 1?
There is no other question. I just want to make what I listed to not be over 1. The original equation that I am solving is: ((1/h(x+h)^2)-(1/hx^2)) / h I just wanted to make those two parts in the
numerator a littl... | 4 | [
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0.0263671875,
0.04638... | 43,136 | 43136 | |
Squaring the Square
Ross Honsberger
Figure 7.1
Stone became particularly interested in trying to prove that it was impossible to cut a given square into unequal squares. While not able to do this, he did discover a squa... | 5 | [
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Limit of Trigonometric function
April 1st 2006, 07:59 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Limit of Trigonometric function
I came into a few problems in which requires me to take limits of Trigonometric function. Now I have no idea how to start, but below is a couple of the problems.... | 5 | [
-0.0238037109375,
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-0.... | 43,138 | 43138 | |
Diameter estimate of distance sphere of positive curved manifold
up vote 2 down vote favorite
Let $M$ be an $n$-dimensional Riemannian manifold with sectional curvature lower bound 1. Fix a point say $O\in M$, let $S(r)$ denote the distance sphere centered at $O$ with radius $r$. The
classical Hessian comparison theor... | 5 | [
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0.04687... | 43,139 | 43139 | |
cauchy sequence, contractive sequence
March 24th 2010, 06:40 PM
inthequestofproofs
cauchy sequence, contractive sequence
Hello,
Let X1 be in E. For n>=1, let Xn+1 = f(Xn)
show {Xn} is contractive
I have attempted several things:
1. |f(X2) - f(X1)|
= |X3-X2|
<= |X2-X1| + |X1 - X3| (by tr... | 4 | [
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-0.0874023437... | 43,140 | 43140 | |
Counting Even Digits in Three-Digit Numbers
Date: 10/24/2004 at 11:27:30
From: Kevin
Subject: 3 digit even number problem.
How many 3-digit numbers are there in which the number of even digits
is even?
I am having trouble finding a way to solve it. I started trying to
find the number of combinations of even numbers,... | 4 | [
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... | 43,141 | 43141 | |
Singular Value Decomposition
Next: Generalized Symmetric Definite Eigenproblems Up: Computational Routines Previous: EigenvaluesEigenvectors, and Schur
Let A be a general real m-by-n matrix. The singular value decomposition (SVD) of A is the factorization U and V are orthogonal and A is complex, its SVD is U and... | 4 | [
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0.0120239... | 43,142 | 43142 | |
chap4
CHAPTER 4:
PROBABILITY
1
EXPERIMENT, OUTCOMES,
AND SAMPLE SPACE
Simple and Compound Events
2
EXPERIMENT, OUTCOMES,
AND SAMPLE SPACE
Definition
An experiment is a process that, when
performed, res... | 4 | [
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-0.0090942382... | 43,143 | 43143 | |
Extended Propositional Logic: A standard bi-valent propositional logic that is able to distinguish between "it is not true that" and "it is false that", by considering the former as weaker than the
latter, which thereby also has the ability to distinguish statements that are undecided (undetermined, uncertain), by de... | 4 | [
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0.011840820... | 43,144 | 43144 | |
Prove that A is compact
December 19th 2012, 08:47 AM #1
Junior Member
Joined
Dec 2012
From
Britain
Posts
46
Thanks
2
Prove that A is compact
A={0}u{1/n: n is a positive integer}. Prove A is a compact subset of Q w.r.t the standard topology but non-compact w.r.t discrete topology
Re: Prove that A... | 5 | [
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... | 43,145 | 43145 | |
Does anyone know how to get started on these questions?
January 15th 2008, 01:50 PM #1
Newbie
Joined
Jan 2008
Posts
5
Hi there trigonometry is not my subject and I was wondering if anyone knew how to get started on these questions. I've made some attempts but I don't think they were very successful. If an... | 4 | [
0.0849609375,
0.1220703125,
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-0.011962890625,
-0.... | 43,146 | 43146 | |
Trig problems
April 15th 2010, 11:51 PM
Paymemoney
Trig problems
Hi
I need help on the following two questions:
1) An angle is measured at 2.1 radians.
a) What is its measure in degrees, minutes and seconds ( to the nearest second)?
b) What is its sine?
This is what i have done:
To co... | 4 | [
-0.02294921875,
0.0264892578125,
-0.0031585693359375,
0.005889892578125,
-0.0458984375,
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0.06201171875,
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0.049560546875,
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0.0625,
0.048583984375,
-0.0213623046875,
-0.061279296875,
-0.007659912109375,
... | 43,147 | 43147 | |
Attractor bifurcation for FKPP type equation with periodic boundary condition
Abstract
In this article, we make bifurcation analysis on the FKPP type equation under periodic boundary condition. And we show that the solutions bifurcate from the trivial solution u = 0 to an attractor ∑[λ
]as parameter crosses certain cr... | 4 | [
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-0.11572265625,
-0.1025390625,... | 43,148 | 43148 | |
Where did the trigonometrical functions come from???
June 28th 2011, 08:03 AM
Yair1978
Where did the trigonometrical functions come from???
Hi,
I was wondering... Surely, the trigonometrical functions began as mere observations about the proportions between the sides of right angled triangles. Probably peop... | 4 | [
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Finite Arithmetic
December 7th 2009, 09:36 AM
sirellwood
Finite Arithmetic
I realise there are a lot of parts to this question, but any help with any of them would be much appreciated!
Let b1, b2, n1 and n2 be integers with gcd(n1, n2) = 1. Consider the congruences
x ≡ b1 (mod n1) (i)
x ≡ b2 (mod... | 4 | [
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Exploratory factor analysis EFA
Exploratory factor analysis (EFA)
EFA: An alternative medical example for the WAIS data set
For this example we use the same (real) WAIS data but we have fabricated a medical
context for it, so the results for this example do not derive from rea... | 4 | [
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-0.025390625,
-0.00050735473... | 43,151 | 43151 | |
Trigo surds question
October 12th 2012, 11:51 PM #1
Newbie
Joined
Sep 2012
From
Singapore
Posts
4
Trigo surds question
(a) Prove that sin 3A = 3 sin A - 4 sin^3 A.
(b) If A = 36^o, show that sin 3A = sin 2A.
(c) Deduce that cos 36^o = (1 + 5^1/2)/ 4.
I've managed to solve (a) & (b), but ... | 4 | [
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... | 43,152 | 43152 | |
Derivative help Calc 1
October 18th 2009, 12:04 PM #1
Newbie
Joined
Oct 2009
Posts
11
Derivative help Calc 1
I have a homework assignment due tonight, and I feel like this guy ---->
Here are the two questions I still do not understand
1.) Write in slope intercept form the equation for the tange... | 4 | [
-0.0211181640625,
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-0.051513671875,
0.005889892578125,
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0.09375,
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0.039306640625,
0.00439453125,
-0.0673828125,
-0.0727539062... | 43,153 | 43153 | |
Fourier Series
February 22nd 2010, 04:03 PM #1
Fourier Series
Ugg this is driving me mad...
Consider the function $f : [-\pi, \pi] \rightarrow \mathbb{C}$ defined by $f(\theta) = |\theta|$. Use Parseval’s Identity to prove
$\sum_{k=0}^{\infty} \frac{1}{(2k+1)^4} = \frac{\pi^4}{96}$ DONE
and also
... | 5 | [
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0.0235595703125,
-... | 43,154 | 43154 | |
Using a probability density function.
June 30th 2010, 05:11 AM #1
Newbie
Joined
Jun 2010
Posts
1
Using a probability density function.
I've never had a problem figuring out a problem before, and if I can't solve it I usually take the zero on that problem.
But this is a group work assignment and we h... | 4 | [
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0.0272216796875,
-0.... | 43,155 | 43155 | |
ula
IBW & ABW calculator
nursing calculators search site map
Formula
IBW
Estimated ideal body weight in (kg)
Males: IBW = 50 kg + 2.3 kg for eac... | 4 | [
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0.001129150390625,
0.0262451171875,
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-0.004974365234375,
0.041259765625,
-0.0230712890625,
0.0074462890625,
0.0014419555664062... | 43,156 | 43156 | |
Polymath1Wiki
Sperner's theorem
From Polymath1Wiki
Statement of the theorem
Sperner's theorem as originally stated is a result about set systems. Suppose that you want to find the largest collection of sets $\mathcal{A}$ such that no set in $\mathcal{A}$ is a proper subset
of any other. Then the best you can do is ... | 4 | [
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-0.031982421875,
0.0025787353515625,
0.07763671875,
0.103515625,
-0.0236816406... | 43,157 | 43157 | |
Lumen Method
The quantity of light reaching a certain surface is usually the main consideration in designing a lighting system.
This quantity of light is specified by illuminance measured in lux, and as this level varies across the working plane, an average figure is used.
CIBSE Lighting Guides give values of illumi... | 4 | [
0.0155029296875,
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-0.0055541... | 43,158 | 43158 | |
Inequality x^2-1 > 0
March 23rd 2011, 02:08 PM
bugatti79
Inequality x^2-1 > 0
Folks,
For x^2-1 > 0 solution x>1 and x<-1
For x^2-1< 0 solution -1< x < 1
I can see what the solution is easily but how do we show this mathematically?
For the first one we have x^2 > 1 implies x > + - SQRT 1 but t... | 4 | [
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Operational Amplifier
Lecture 1 Op-Amp
• Introduction of Operation Amplifier (Op-
Amp)
• Analysis of ideal Op-Amp applications
• Comparison of ideal and non-ideal Op-Amp
• Non-ideal Op-Amp consideration
Ref:080114HKN Operational Amplifier 1
Opera... | 5 | [
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-0.008850... | 43,160 | 43160 | |
lim (1+1/x)^x as x->infinity
July 19th 2010, 12:42 PM #1
Member
Joined
May 2010
From
WI - USA
Posts
129
lim (1+1/x)^x as x->infinity
Good afternoon,
I am working on a problem that asks to find the following limit:
$<br /> lim_{x\rightarrow\infty}(1+\frac{1}{x})^x<br />$
This should be ... | 5 | [
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... | 43,161 | 43161 | |
Derangement Theorem and Multinomial Theorem
DERANGEMENTS
We first discuss the Derangement Theorem. The word derangement in simple words means any change in the existing order of things. Mathematically, derangement refers to the permutation consisting of elements of a set in which the elements don’t exist in their r... | 5 | [
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0.062011... | 43,162 | 43162 | |
Sum of periodic functions
June 28th 2009, 08:00 PM #1
Sum of periodic functions
This theorem was inspired to me by this thread. I have found a proof of it but I'll post it later; I want to see if somebody can find another one!
Let $m(x), n(x)$ be continuous real-valued functions having periods $p,q$. Show th... | 4 | [
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0.028... | 43,163 | 43163 | |
Bound on Minimal Length of Vectors in Lattice and its Dual Lattice
up vote 4 down vote favorite
Let $\Lambda$ be a lattice in $\mathbb{R}^n$ and $\Lambda^\ast$ its dual lattice. Let $d=\min_{v\in\Lambda} (v,v)$ and $d^\ast =\min_{v\in\Lambda^\ast} (v,v)$ be the minimal squared lengths of
vectors in the two lattices. I... | 4 | [
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0.10693359375,
0... | 43,164 | 43164 | |
Rectangle in an isosceles triangle
October 30th 2010, 01:17 AM
Educated
Rectangle in an isosceles triangle
There is a rectangle inside an isosceles triangle. One side of the rectangle is on the base of the isosceles triangle. The 2 corners on the other side of the rectangle are touching the equal
lengths of ... | 4 | [
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0.078125,
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0.08984375,
-0.0111083984... | 43,165 | 43165 | |
The Log of a Negative Number
Date: 03/27/98 at 12:37:55
From: Brett Witty
Subject: Complex powers
Hi,
I ran into a revision problem with logs which wasn't the problem
itself, just a gaping hole in my learning. They had given us what
turned out to be a log of a quadratic, with a x-3 factor or something.
I was checki... | 5 | [
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0.00022792816162109... | 43,166 | 43166 | |
Finding largest f satisfying a property given f is non-decreasing in its arguments
up vote 7 down vote favorite
this has been bugging me for a while.
Lets say you have a function f x y where x and y are integers and you know that f is strictly non-decreasing in its arguments,
i.e. f (x+1) y >= f x y and f x (y+1) >=... | 5 | [
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... | 43,167 | 43167 | |
Rotational Energy of the Earth as an energy source
Note: This is an old post from the time before my blog was in wordpress. I noticed there was some incoming link for this, and I never moved it over. Here it is in it’s unaltered (except for this
part) format.
I don’t know why I even suggest a new energy source. Fusion... | 4 | [
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-0.03588867187... | 43,168 | 43168 | |
Kinetics of Drug Absorption
Most routes of drug administration depend upon the drug dissolving into body fluids and diffusing through one or more membranes to enter the blood plasma. Therefore, all routes of administration,
... | 4 | [
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Addition
Addition on the abacus involves registering the numbers on the beads in the straight-forward left-to-right sequence they are written down in.
(NOTE: This page may have transcription errors. To resolve any discrepancies, please refer to the scans of the the manual from which this page was transcribed.)
Addit... | 4 | [
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0.0568847... | 43,170 | 43170 | |
Volume 49,
• journal/journal.issue
• aip/jmp
• /content/aip/journal/jmp/49/9
• jmp.aip.org
1887
Volume 49, Issue 9, September 2008
Index of content:
• QUANTUM MECHANICS (GENERAL AND NONRELATIVISTIC)
•
☆
Source: J. Math. Phys. 49, 092101 (2008); http://dx.doi.org/10.1063/1.296811... | 4 | [
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0.0301513671... | 43,171 | 43171 | |
do behavior of gimel or GCH determine all infinte products of cardinals?
up vote 5 down vote favorite
Let $Card$ be the class of infinite cardinals and $p\colon Card^2\to Card$ be given by $(\kappa,\lambda)\mapsto\kappa^\lambda$.
Assuming GCH it is known that $p(\kappa,\lambda)$ is either $\kappa$ (if $\lambda < cof(\... | 5 | [
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0.003662109375,
0.000159263... | 43,172 | 43172 | |
Clifford algebra as an adjunction?
up vote 25 down vote favorite
19
Background
For definiteness (even though this is a categorical question!) let's agree that a vector space is a finite-dimensional real vector space and that an associative algebra is a finite-dimensional real
unital associative algebra.
Let $V$ be a... | 4 | [
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0.044677734375,
0.049... | 43,173 | 43173 | |
Does the inverse Laplace transform of the square root exist?
up vote 2 down vote favorite
Does the inverse Laplace transform, defined by the integral, $$F(t) = \mathscr L_s^{-1}\left[\sqrt s\right](t) = \int_{c - i\infty}^{c + i\infty} \sqrt s ~e^{-st} ds$$ exist?
Here are a few things I've considered in trying to an... | 5 | [
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-0.03466796875,
-0.0417480... | 43,174 | 43174 | |
Embeddings for spaces of maximal regularity
up vote 3 down vote favorite
1
Let $T\in(0,\infty)$ and $\Omega\subset\mathbb R^n$ be a smooth domain. In terms of maximal regularity it can be very beneficial to know for which $s_i,p,n$ the following holds true
$W^{s_1,p}(0,T;L^p(\Omega))\cap L^p(0,T;W^{s_2,p}(\Omega))\cd... | 4 | [
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0.003204345... | 43,175 | 43175 | |
Line intercepting curve
August 27th 2010, 10:15 PM #1
Junior Member
Joined
Apr 2010
Posts
42
Line intercepting curve
A straight line of gradient $m$ is drawn through the point $A(2, -4)$ on the curve $y = x^2 - 4x$. Find, in terms of $m$, the coordinates of the point $B$ at which the line intercepts the ... | 4 | [
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0.1787109375,
0.0096435546875... | 43,176 | 43176 | |
Need help with finding derivatives
Can you use any method to solve or do you need to use the fundamental theorem?
Is the first one $\displaystyle y = \frac{\sqrt{x}}{2\sqrt{x}} + 3$ or $\displaystyle y = \frac{\sqrt{x}}{2\sqrt{x} + 3}$?
Well first of all, since you're dividing by ALL of $\displaystyle 2\sqrt{x} + 3$,... | 5 | [
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-0.05517578125,
-0.00215148925781... | 43,177 | 43177 | |
Given y=f(u) and u=g(x) find dy/dx=f'(g(x))g'(x)
y=6u-9, u=(1/2)x^4I have reread this chapter. Please will someone... - Homework Help - eNotes.com
Given y=f(u) and u=g(x) find dy/dx=f'(g(x))g'(x)
y=6u-9, u=(1/2)x^4
I have reread this chapter. Please will someone explain simply what this problem is asking me to do? I ... | 5 | [
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0.0554... | 43,178 | 43178 | |
University of Illinois at Urbana
ECE 473
Fundamentals of Engineering Acoustics
Menu: Course View Options
Displaying course information from Spring 2014.
Section Type Times Days Location Instructor
F3 DIS 1400 - 1450 M W F 163 Everitt Lab Michael Oelze
F4 DIS 1400 - 1450 M W F 163 Everitt... | 4 | [
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-0.0264... | 43,179 | 43179 | |
Number of faithful representations of a finite group
up vote 8 down vote favorite
Is it known how many faithful linear representations a finite group G has on a complex vector space of given dimension? What if G is abelian?
I would even be interested in this special case: the smallest dimension of a faithful represen... | 5 | [
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0.041259765625,
0.00531005859375,
0.0217... | 43,180 | 43180 | |
rings and fields..urgent help plz
January 29th 2007, 07:59 PM #1
Member
Joined
Mar 2006
Posts
82
rings and fields..urgent help plz
Hi! I have a midterm tomorrow and I am stuck on this problem. Can anyone help me??? Thankkk youu soo much.
1) Suppose F is a field, and a is a nonzero element of F. Sh... | 5 | [
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0.... | 43,181 | 43181 | |
Fourier transform of Analytic Functions
up vote 9 down vote favorite
3
Forgive me if this question does not meet the bar for this forum. But i would really appreciated some help.
I'm trying to construct a function according to some conditions in the frequency domain of the Fourier transformation. I want the function ... | 4 | [
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-0.032... | 43,182 | 43182 | |
Prove by induction....
September 5th 2012, 01:21 AM
linalg123
Prove by induction....
1. Prove that for all $m \in N$, prove that $2m \leq m^2+1$
2. Hence, or otherwise, prove by induction that for all $n \in N$ there exists a $k \in N$ such that $n \leq k^2 \leq 2n$
for 1. would it just be $0 \leq m^2 ... | 5 | [
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0.0505371093... | 43,183 | 43183 | |
FREE-VARIABLES
free variables in rules
Major Section: RULE-CLASSES
As described elsewhere, ACL2 rewrite and linear rules are treated as implications for which there are zero or more hypotheses hj to prove:
(implies (and h1 ... hn)
(fn lhs rhs))
Also see rewrite and see linear. Variables of hj are said to... | 5 | [
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0.041015625,
-0.01904296875,
0.10009765625,
0.05712890625,
-0.05615234375,
-0.0157470703125,
-0.... | 43,184 | 43184 | |
Stats 845
Applied Statistics
This Course will cover:
1. Regression
– Non Linear Regression
– Multiple Regression
2. Analysis of Variance and Experimental
Design
The Emphasis will be on:
1. Learning Techniques through example:
2. Use of common statistica... | 4 | [
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0.12060546875,
-0.0... | 43,185 | 43185 | |
Equations
June 16th 2011, 11:38 PM #1
Newbie
Joined
May 2011
Posts
14
Equations
Solve the following equations for all m & n in the set of all positive integers,
$m^2 + n^2 - m = 34$
$2mn - n = 22$
Need some clues.......
Re: Equations
Dear mathlover14,
$m^2 + n^2 - m = 34$------... | 4 | [
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Middle/High School Algebra, Geometry, and Statistics (AGS)
• The standard deviation measures the spread of the data about the mean value.
• It is useful in comparing sets of data which may have the same mean but a different range.
• For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2,... | 4 | [
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0.0351... | 43,187 | 43187 | |
s Probability?
COMMON MISTEAKS MISTAKES IN USING STATISTICS: Spotting and Avoiding Them
What Is Probability?
The notion of "the probability of something" is one of those ideas, like "point" and "time," that we can't define exactly, but that are useful nonetheless. The following should give a good working
understandin... | 4 | [
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Maximums of two correlated Gaussian processes
up vote 1 down vote favorite
Hi,
This question is motivated by a statistical genetics model. Let $(x_1,y_1)$, .., $(x_N,y_N), ... $ be i.i.d. bi-variate Gaussian random variables. The $x_i,y_i$'s are standard Gaussians, $x_i, y_i \
sim N(0,1)$, and $corr(x_i,y_i) = \rho$ ... | 4 | [
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... | 43,189 | 43189 | |
.
6. MAXIMUM-LIKELIHOOD ERROR, ONE PARAMETER
It can be shown that for large N,
where 1 / h is the rms spread of
Since h , we have
It is also proven in Cramer [4] that no method of estimation can give an error smaller than that of Eq. 7 (or its alternate form Eq. 8). Eq. 7 is indeed very powerful and important. It ... | 4 | [
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0.02001953125,
-... | 43,190 | 43190 | |
Adding Floating Point Numbers
Introduction
We'll do addition using the one byte floating point representation discussed in the other class notes. IEEE 754 single precision has so many bits to work with, that it's simply easier to exp... | 5 | [
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-0.10... | 43,191 | 43191 | |
Combining uncertainty components
Measurement equation:
A sum of quantities X[i ]multiplied by constants a[i].
Y = a[1]X[1]+ a[2]X[2]+ . . . a[N]X[N]
Measurement result:
y = a[1]x[1 ]+ a[2]x[2 ]+ . . . a[N]x[N]
Combined standard uncertainty:
u[c]^2(y) = a[1]^2u^2(x[1]) + a[2]^2u^2(x[2]) + . . . a[N]^... | 4 | [
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Volume 48,
Volume 48, Issue 6, June 2007
• SPECIAL ISSUE: MATHEMATICAL FLUID DYNAMICS
•
□ Regularity Results and Analytical Estimates for Navier-Stokes and Related Systems
☆
View Description Hide Description
We continue our examination of the projection of the global at... | 4 | [
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Induction Hypothesis
Date: 08/16/2003 at 09:20:49
From: Kiran Bajaj
Subject: Principal of Mathematical Induction
I am working on some difficult problems of Mathematical Induction.
Here is a statement to be proved:
Every road in Sikinia is one way. Every pair of cities is connected
by exactly one direct road. Show th... | 5 | [
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Mole and Molar Mass - PowerPoint
Introduction to the
Mole and Molar
Mass
Background
• When you buy eggs you usually
Dozen
ask for a _______ eggs.
• You know that one dozen of any
12
item is ______.
Paper
• Paper is packaged by a ream.
• A ... | 4 | [
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0.01013183593... | 43,195 | 43195 | |
Today,-well-take-another-look-at-the-supply-and-demand-for-fruit
Fruit Stand Lesson II
Today, we'll take another look at the supply and demand for fruit. Our goal will be to understand the significance of “equilibrium price.” Background Recall that the price of pineapples is dete... | 4 | [
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0.0... | 43,196 | 43196 | |
For a Given Number, Solve the Expression...
Associated Topics || Dr. Math Home || Search Dr. Math
For a Given Number, Solve the Expression...
... | 4 | [
-0.01385498046875,
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0.01965332031... | 43,197 | 43197 | |
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Topic: Re: [mg4779] functional code
Replies: 0
Re: [m... | 5 | [
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Computing Square Roots on Paper
To do a square root on an abacus, you use partitions to do a paper algorithm for square root using the abacus. The catch is that most people don’t even *remember* how to do square roots on paper, if
they ever learned it at all. (In fact, in school, *I* didn’t learn the classical paper al... | 5 | [
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... | 43,199 | 43199 |