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Finding the Function
Date: 12/17/96 at 11:03:39
From: Bolibar Elourdi, Adolfo
Subject: Functions
First of all, many thanks for your interest in our problem.
We know the dependence of Y with each one of these five variables
(a,b,c,d,e) as follows:
Y= f(a) = 0.5* a^2 (with b,c,d,e as constants)
Y= f(b) = 2*b... | 5 | [
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0.039794921875,
-0.08203125,
0.04248046875,
-0... | 13,000 | 13000 | |
J2 Heat
Conversion of work into heat and of heat into work
The first main theorem, Impossibility of perpetuum mobile
The first main theorem of Ther... | 4 | [
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0.... | 13,001 | 13001 | |
Long Multiplication
Chequer Board
Material Description:
A board made up of 36 squares. The squares are colour-coded to correspond to the categories of the decimal system, green for units, blue for tens, red for hundreds.
On the base there is notation in black, right to left for the categories 1 to 100,000,000. U... | 4 | [
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0.031... | 13,002 | 13002 | |
McNemar Tests of Marginal Homogeneity
Back to Agreement Statistics page
The McNemar test
The McNemar test (McNemar, 1947; Sheskin, 2000, pp. 491-508; Somes, 1983) is an extremely simple way to test marginal homogeneity in K×K tables.
T... | 5 | [
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Finding an optimal monotone function?
up vote 1 down vote favorite
1
Let $f$ and $g$ be two discrete signals. I want to find a monotone function h such that
$h=argmin_{h}\sum_{n\in[0,N]}{(f(n)-h(g(n)))^2}$
I don't really care about finding the global optimum, I just want a good fit. What would be a good representati... | 5 | [
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Algebraic equation
From Encyclopedia of Mathematics
An equation of the type polynomial of degree
Here
The values of the unknown
The roots of a polynomial are related to its coefficients by Viète's formulas (cf. Viète theorem). To solve an equation means to find all its roots contained in the range of values of the... | 4 | [
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0... | 13,005 | 13005 | |
A019863 - OEIS
A019863 Decimal expansion of sine of 54 degrees. 12
8, 0, 9, 0, 1, 6, 9, 9, 4, 3, 7, 4, 9, 4, 7, 4, 2, 4, 1, 0, 2, 2, 9, 3, 4, 1, 7, 1, 8, 2, 8, 1, 9, 0, 5, 8, 8, 6, 0, 1, 5, 4, 5, 8, 9, 9, 0, 2, 8, 8, 1, 4, 3, 1, 0, 6, 7, 7, 2, 4, 3, 1, 1, 3, 5, 2,
6, 3, 0, 2, 3, 1, 4, 0, 9, 4, 5, 1, 2, 2, 4, 8, 5... | 4 | [
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-0.08... | 13,006 | 13006 | |
Use The Formal Defintion Of Derivative To Find ... | Chegg.com
formal definition of derivative, solution provided
use the formal defintion of derivative to find the derivative of y= 5x^2 at x = -1
what i did:
= f(x+h) - f(x) / h
= 5(x+h)^2 - 5x^2 / h
= 5(x^2 + 2hx + h^2) - 5x^2 / h
= 5x^2 + 10hx +5h^2 - 5x^2 / h
= 1... | 4 | [
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-0.02136230... | 13,007 | 13007 | |
Falling in Water
Name: Laura S
Status: student
Age: 17
Location: N/A
Country: N/A
Date: 1999
Question: I am trying to conduct an experiment relating to the effect of gravity on things falling in wa... | 5 | [
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Solving differential equations
November 10th 2008, 10:23 AM #1
Newbie
Joined
Oct 2008
Posts
6
Solving differential equations
Find the specific solution for the following differential equations:
a) (dy/dx)^2 - x^4 = 0 given the initial value y(1) = 0
b) dy/dx = ysinx given the initial value y(pi)... | 4 | [
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Symmetry and the Fourth Dimension (Part 1)
Coxeter complexes
Though I’m shifting toward applied math, I find myself unable to quit explaining pure math to people—stuff that’s fun purely for its own sake. So, I’ve been posting about symmetry and the fourth
dimension over on Google+. Now I want to take those posts, pol... | 4 | [
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0.00331115... | 13,010 | 13010 | |
One Chicken, One Day
Date: 04/19/2002 at 10:20:39
From: Erryn Bard
Subject: Fractions
It's the same old chicken and egg question, but with a twist ending:
If a chicken and a half lays an egg and a half in a day and a half,
how many eggs can one chicken lay in one day?
Date: 04/19/2002 at 12:25:12
From: Doctor Pete... | 4 | [
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of
Drinfel'd module
From Encyclopedia of Mathematics
2010 Mathematics Subject Classification: Primary: 11G09 Secondary: 11F7011R3922E55 [MSN][ZBL]
A Drinfel'd $A$-module, (where $A$ is an appropriate ring) over a field $L$ of characteristic $p>0$ is an exotic $A$-module structure on the additive group $\def\Ga{\ma... | 4 | [
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Binary Multiplication
http://www.exploringbinary.com/binary-multiplication/
This is the third of a four part series on “pencil and paper” binary arithmetic, which I’m writing as a supplement to my binary calculator. The first article discusses binary addition; the second
article discusses binary subtraction; this art... | 4 | [
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0... | 13,013 | 13013 | |
Integration with variable limits
"Sanaa" wrote in message <kuim31$gkn$1@newscl01ah.mathworks.com>...
> "Torsten" wrote in message <kuih1o$c4g$1@newscl01ah.mathworks.com>...
> > "Sanaa" wrote in message <kuig3n$9d$1@newscl01ah.mathworks.com>...
> > > "Steven_Lord" <slord@mathworks.com> wrote in message <ktb57u$el8$1@new... | 5 | [
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Sampling from a torus
by Joseph Rickert
One of the key ideas in topological data analysis is to consider a data set to be a sample from a manifold in some high dimensional topological space and then to use the tools of algebraic topology
to reconstruct the manifold. It turns out that the converse problem of taking a r... | 5 | [
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0.... | 13,015 | 13015 | |
Pascal's Triangle - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Pascal's Triangle - Concept 16,613 views
Pascal's triangle is a geometric arrangement of the binomial coefficients in the shape of a triangle. In Pascal's triangle, each number in t... | 4 | [
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0.078125,
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0.0... | 13,016 | 13016 | |
Stable Marriages and Designing Markets
Here is a fun puzzle. Suppose we have a group of 10 men and 10 women, and each of the men has sorted the women in order of their preference for marriage (that is, a man prefers to marry a woman
earlier in his list over a woman later in the list). Likewise, each of the women has s... | 5 | [
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0.0422363281... | 13,017 | 13017 | |
Searle's Bar for a good heat conductor
Thermal Conductivity of a good conductor.
Object
Measure the thermal conductivity of Copper using the Searle's bar method.
SAFETY WARNING
This experiment uses steam heating. Be careful to avoid touching the hot surfaces of the steam generator, tubing and the Searle's bar appa... | 4 | [
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0.047607421... | 13,018 | 13018 | |
2010
The eruption of Mt. Pinatubo in the Philippines on June 15, 1991 provided a natural test of the climate system to radiative forcing by producing substantial cooling of global average temperatures
over a period of 1 to 2 years. There have been many papers which have studied the event in an attempt to determine th... | 4 | [
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The Mechanism Of Population Doubling
Malthus - The Principle Of Population
In England in 1798, as the world population approached 1 billion, Malthus wrote "An Essay On The Principle Of Population". The principle was mathematical in nature, and stated that populations
always tend towards exponential g... | 4 | [
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Jack's Blackboard
The definitions of pseudoprimes
The idea behind the AKS primality tests is not an original idea from its authors, but it can be traced back to
Pierre de Fermat
, in the 1600.
The fundamental idea that Fermat had, and that is used in the AKS test, but also in the Miller-Rabin and Solovay-Strassen p... | 4 | [
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Math Forum Discussions
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Topic: exponential regression
Replies: 1 Last Post: Feb 3... | 4 | [
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-0.08935546875,
-0.0590820... | 13,022 | 13022 | |
The Product Rule - Concept
Brightstorm is like having a personal tutor for every subject
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Check it out
The Product Rule - Concept 18,702 views
Use the product rule to find the derivative of the product of two functions--the first function times the derivative of the second, plus the se... | 5 | [
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0.06640625,
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-0.040771484375,
0.137... | 13,023 | 13023 | |
For The Vector Matrix Difference Equation: X(k+1)=A ... | Chegg.com
Vector Matrix Difference Equation, Zero State Response
Image text transcribed for accessibility: For the vector matrix difference equation: x(k+1)=A x(k) + B r(k): A = : B=[1 0] y(k) = C x(k) + D r(k) rightarrow C = [ 1 2] : D = 3 Take the Z Transform... | 4 | [
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-0.03930664062... | 13,024 | 13024 | |
Mastering Physics Solutions: Suspending Charged Particles Using Electric Fields
Stopping the Proton
Solution Below:
Part A
What must the charge (sign and magnitude) of a particle of mass 1.43 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 660 N/C?
Use 9.81 m/s
^2
f... | 4 | [
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0.0305175781... | 13,025 | 13025 | |
Eigenfaces, for Facial Recognition
This post assumes familiarity with the terminology and notation of linear algebra, particularly inner product spaces. Fortunately, we have both a beginner’s primer on linear algebra and a follow-up
primer on inner products.
The Quest
We are on a quest to write a program which recog... | 4 | [
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Is it possible to solve the argument maximization problem $\arg\max_x \langle x,l \rangle −f_1(x)−f_2(x)$ via convex duality?
up vote 4 down vote favorite
I am attempting to solve the argument maximization problem
$$\arg\sup_x \{ \langle x,l \rangle − f_1(x)−f_2(x) \} \ \ \ \ \ \ \ \ \ \ (1)$$
where the functions $f... | 4 | [
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0.0098876953125,
0.02... | 13,027 | 13027 | |
Existence of a smooth function with nowhere converging Taylor series at every point
up vote 12 down vote favorite
11
By Borel's theorem, for any sequence of real numbers $a_n,$ there is a $C^{\infty}$-function $f:\mathbb{R}\to\mathbb{R}$ whose Taylor series at 0 is $\sum a_nx^n.$ In particular, there are $C^{\
infty}$... | 5 | [
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-0.0289306640625,
-0... | 13,028 | 13028 | |
Rat Population
Date: 04/27/99 at 14:09:33
From: Kimberly Cook
Subject: Rat population
This is a word problem. Help!
Two rats, one male and one female, scampered on board a ship anchored
at a local dock.
The ship set sail across the ocean. When it reached a deserted island
in late December, the two rats abandoned ... | 4 | [
0.01422119140625,
-0.0279541015625,
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-0.0294189453125,
... | 13,029 | 13029 | |
Is Your A/B Testing Tool Finding Differences That Aren't?
Is Your A/B Testing Tool Finding Differences That Aren’t?
You may not know it, your A/B testing tool may be finding differences that really aren’t.
The tool may tell you that version 2 performs better than version 1 because it found statistically significant d... | 5 | [
0.031494140625,
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0.0615234375,
0.022216796875,
0.130859375,
-0.06... | 13,030 | 13030 | |
Darwin's approach to X-ray diffraction on lateral crystalline structures
Volume 70
Part 1
Pages 64-71
January ^aKomi Research Center, Ural Division, Russian Academy of Sciences, 167982, Syktyvkar, Russian Federation,^bSchool of Science and Technology, University of New England, NSW 2351,
2014 ... | 4 | [
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Homework Help
Posted by Hannah on Tuesday, July 7, 2009 at 8:15am.
a sequence {an} is given by a1 = (3)^1/2 , an+1 = (3+an)^1/2. Show that {an} is monotonic and bounded, and calculate the limit if it exists
• Math - Reiny, Tuesday, July 7, 2009 at 9:10am
A(n) = √(3 + √(3 + √(3 + ...))..) to infinity
let x ... | 4 | [
-0.06591796875,
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... | 13,032 | 13032 | |
Physics Archive | May 21, 2010 | Chegg.com
Physics Archive: Questions from May 21, 2010
• Anonymous asked
0 answers
• Anonymous asked
1 answer
• Anonymous asked
Three point charges are located at the corners of an equilateraltriangle as in the figure below. Fin... Show more
Three poi... | 5 | [
-0.018310546875,
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-0.02197265625,
-0.087402... | 13,033 | 13033 | |
Bundles of wood - Math Central
Hi Darcy,
If each bundle was 1 cubic foot it would take 128 of them to make a cord so each would be one, one hundred and twenty-eighth of a cord.
If each bundle was 2 cubic foot it would take 128/2= 64 of them to make a cord so each would be one sixty fourth of a cord.
If each bundle w... | 4 | [
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... | 13,034 | 13034 | |
Symmetry and the Fourth Dimension (Part 4)
Last time I posed a puzzle: figure out the Coxeter diagrams of the Platonic solids.
When you do this, it’s hard to help noticing a cool fact: if you take a Platonic solid and draw a dot in the center of each face, these dots are the vertices of another Platonic solid, called... | 4 | [
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-0.048583984... | 13,035 | 13035 | |
the Mean Aerodynamic Chord
To Locate the Mean Aerodynamic Chord on a Tapered or Delta Wing
Measure the root and tip chord. Then draw the following lines on the plans:
• At the root of the wing, draw a line parallel to the centerline of the fuselage extending forward from the leading edge and rearward from the tra... | 4 | [
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-0... | 13,036 | 13036 | |
How to calculate the inverse of the sum of two eigen-decomposed matrices
up vote 2 down vote favorite
The are two eigen-decomposed matrices $A$ = $U_1$$V_1$$U_1$$^H$, $B$ = $U_2$$V_2$$U_2$$^H$, in which $V_1$ and $V_2$ are the eigen-matrices formed by the non-negative eigenvalues and the eigenvalues
are all less than ... | 5 | [
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0.0089111328125,... | 13,037 | 13037 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
David from Mount Carmel School sent us his working to one of the problems:
The numbers which can be divided by five but leave a remainder of four are:
4, 9, 14, 19, 24, 29, 34, 39, 44, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94 and 99.
The number... | 4 | [
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0.047119140625,
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-0.0400390625,
0.09... | 13,038 | 13038 | |
[SciPy-dev] Updated generic optimizers proposal
dmitrey openopt@ukr....
Wed Apr 25 12:25:18 CDT 2007
Check for the case:
objFun(x) = sum(x)
x0 = [0 0 0 0 0 0 0 0 0 1] (or very small numbers instead of zeros,
smaller than typicalDeltaX/50 for example)
lb = zeros
ub = ones (or any other)
so if you use random shift for... | 4 | [
-0.0517578125,
-0.06494140625,
0.0064697265625,
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0.0400390625,
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-0.05859375,
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-0.01177978515625,
0.00836181640625,... | 13,039 | 13039 | |
Lower bound on number of tetrahedra needed to triangulate a knot complement
up vote 8 down vote favorite
4
Following along a similar line to the question asked here: Is there an explicit bound on the number of tetrahedra needed to triangulate a hyperbolic 3-manifold of volume V?
Let $K$ be a (hyperbolic) knot in $S^3... | 4 | [
0.011474609375,
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0.05322265625,
... | 13,040 | 13040 | |
sound (physics) :: Beats
An important occurrence of the interference of waves is in the phenomenon of beats. In the simplest case, beats result when two sinusoidal sound waves of equal amplitude and very nearly equal
frequencies mix. The frequency of the resulting sound (F) would be the average of the two original freq... | 4 | [
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... | 13,041 | 13041 | |
Hodge star operator
Context
Riemannian geometry
Basic definitions
Further concepts
Theorems
Applications
Differential geometry
Contents
Idea
Given a finite dimensional (pseudo)-Riemannian manifold $(X,g)$, the Hodge star operator “completes” a $k$-differential form to the volume form of $(X,g)$.
Definition
L... | 4 | [
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0.0269775390625,
-0.046875,
0.0... | 13,042 | 13042 | |
Is it possible to generate 40,000+ element of Fibonacci recursively in Lisp?
up vote 2 down vote favorite
1
I'm trying to solve Project Euler question 2 with Lisp. This recursive solution blows the stack on execution, but I thought Lisp (using clisp) would recognize the tail recursion. This is being
entered into the t... | 5 | [
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-0.00665... | 13,043 | 13043 | |
Electronics Fundamentals 4A and 4B
4A Fundamentals of Electronics IA (3 units) CSU Lecture 3 hours.
Recommended Corequisite: Electronics 4B.
The first class for electronics majors. Atomic theory, voltage, resistance, current, energy and power, Ohm's law, series-parallel circuits, voltage and current dividers. Networ... | 4 | [
-0.023681640625,
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... | 13,044 | 13044 | |
Calculating pi with AGM and mpmath
This post gives an algorithm based on the arithmetic-geometric mean that rapidly converges to pi. I’ll use it to illustrate multiple precision arithmetic using Python’s mpmath module.
Given two non-negative numbers a and b, their arithmetic mean is (a + b)/2 and their geometric mean... | 5 | [
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-0.0189208984375,
0.0186767578125,
-0.00... | 13,045 | 13045 | |
MathFiction: Eye of the Beholder (Alex Kasman)
Shortly after a stunning success in her research, personal tragedy forces a math professor to change careers and begin work at the NSA where her work on cryptography involves some difficult ethical
decisions. This is one of the stories in my collection Reality Conditions a... | 4 | [
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0.060546875,
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0.060546875... | 13,046 | 13046 | |
How Many Possible Combinations Are There On A 5 Digit Lock Combination Lock On A Suitcase Has 5 Wheels, Each Labeled With Digits 1 To 8. ?
Combination lock on a suitcase has 5 wheels, each labeled with digits 1 to 8. ? - how many possible combinations are there on a 5 digit lock
5 How a combination lock code two digit... | 4 | [
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0.0751953125,
-0.1142578125,
-0.006988525390... | 13,047 | 13047 | |
If two projections are close, then they are unitarily equivalent
up vote 5 down vote favorite
Given two projections $p,q\in B(H)$, it is well-known that if $\|p-q\|<1$, then there exists a unitary $u\in B(H)$ with $q=upu^*$.
The proof that immediately occurs to me uses comparison of projections (the inequality forces... | 5 | [
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0.068359375,
... | 13,048 | 13048 | |
A conjecture on intersection of some intervals.
up vote 9 down vote favorite
It was proved here that if $a\in \mathbb{N}_{\geq3}$ then
$$\bigcap_{i = 1}^{a} \bigcup_{j = 0}^{i-1} \left[\frac{1+aj}{i},\frac{a(j+1)-1}{i}\right] = \varnothing \tag{1}$$
It may be conjectured that forcing $i\ne b$, where $1\leq b< a$, re... | 5 | [
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0.03662109375,
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0.08740234375,
0.015380859375,
0.00164031982421875,
-0.005584716796875,
0.012939... | 13,049 | 13049 | |
Detection of rare functional variants using group ISIS
Abstract
Genome-wide association studies have been firmly established in investigations of the associations between common genetic variants and complex traits or diseases. However, a large portion of complex
traits and diseases cannot be explained well by common v... | 4 | [
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0.0164794921875,
-0.0712890625,
0.003... | 13,050 | 13050 | |
Time: Seconds, 24-hour Clock and Duration
The second is a unit of measurement of time. It is smaller than the minute. We use the second to tell a moment of time more accurately or precisely. We use h to denote hour, min to denote minute and
s to denote second. 1 minute = 60 seconds 1 min = 60 s
We use h to denote hour... | 4 | [
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-0.042724609375,
-0.04833984375,
0.0... | 13,051 | 13051 | |
Ship's Bearing
Associated Topics || Dr. Math Home || Search Dr. Math
Ship's Bearing
Date: 8/22/96 at 13:7:3
... | 4 | [
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-0.0810546875,
0.00927734375,
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0.... | 13,052 | 13052 | |
Number Bases
As pointed out in the discussion Why Study Math various schemes were used to represent numbers throughout the ages. All of these systems did not support fundamental operations such as addition and
subtraction. It was not until the idea of a base to define a number system was developed that number represent... | 4 | [
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0.054443359375,
-0.0235595703125,
-0.10693359375,
-0.1064453125,
0.043212... | 13,053 | 13053 | |
How can I perform a Mantel test in R?
R FAQ:
How can I perform a Mantel test in R?
A Mantel test measures the correlation between two matrices typically containing measures of distance. A Mantel test is one way of testing for spatial autocorrelation. Using functions in the
ade4
library, we can perform a Mantel test ... | 5 | [
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0.053955078125,
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-0.0478515625,
0.05517578125,
0.047119140625,
-0.06494140625,
-0.0070190... | 13,054 | 13054 | |
Systems of Linear Equations
March 30th 2008, 06:13 AM #1
Newbie
Joined
Mar 2008
Posts
2
Systems of Linear Equations
x + 3y - z = 13
2x -5z = 23
4x - y -2z = 14
I have no idea how to start this. please help me! thanks.
Re: Systems of Linear Equations
Solution:
Given x + 3y - z = 13... | 4 | [
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0.03369140625,
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0.0390625,
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-0.0106201171875,
-0.04931640625,
0.0272216796875,
-0.08740234375,
0.006... | 13,055 | 13055 | |
Declination
In
astronomy
Astronomy is a natural science that deals with the study of celestial objects and phenomena that originate outside the atmosphere of Earth...
,
declination
(abbrev.
dec
or
δ
) is one of the two coordinates of the
equatorial coordinate system
The equatorial coordinate system is a wid... | 4 | [
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0.0291748046875,
0.0024566650390625,
0.00457763671875,
-0.02099609375,
0.003265380859375,
-0.1123046875,
-0.0390625,
0.01892... | 13,056 | 13056 | |
Hypergeometric Calculator
Hypergeometric Calculator: Online Statistical Table
The Hypergeometric Calculator makes it easy to compute individual and cumulative hypergeometric probabilities. For help, read the Frequently-Asked Questions or review the Sample Problems.
To learn more, read Stat Trek's tutorial on the hype... | 5 | [
0.08740234375,
0.017333984375,
0.07861328125,
-0.033447265625,
-0.078125,
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0.0194091796875,
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-0.041748046875,
0.0712890625,
-0.0050048828125,
0.00604248046875,
-0... | 13,057 | 13057 | |
Information Geometry (Part 1)
I’d like to provide a bit of background to this interesting paper:
• Gavin E. Crooks, Measuring thermodynamic length.
which was pointed out by John F in our discussion of entropy and uncertainty.
The idea here should work for either classical or quantum statistical mechanics. The paper... | 4 | [
-0.041748046875,
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0.03515625,
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-... | 13,058 | 13058 | |
a.e. convergence of the powers of an operator built from rotations
up vote 7 down vote favorite
1
Consider two numbers $a,b\in R/Z$ and some integer $p\geq 1$. Let $T:L^p(R/Z)\rightarrow L^p(R/Z)$ be the operator given by $$T(f)(x)=1/2(f(x+a)+f(x+b))$$ For which values of $a,b$ do we have almost
everywhere convergenc... | 4 | [
-0.0244140625,
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0.0216064453125,
-0.0281982421875,
0.008056640625,
-0.052490234375,
-0.0088500976... | 13,059 | 13059 | |
dy
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Here's the question you clicked on:
onegirl Group Title
Find an equation of th... | 4 | [
-0.036865234375,
0.0032958984375,
-0.001922607421875,
-0.01007080078125,
0.0478515625,
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-0.0247802734375,
0.02392578125,
0.059326171875,
-0.06494140625,
-0... | 13,060 | 13060 | |
Sum of Fibonacci Series
Date: 05/23/2000 at 04:40:14
From: Edward Barton
Subject: Fibonacci sequence
Is there any formula for the sum of the first n numbers in the
Fibonacci sequence? I've been looking for one without success. I did
find a quartic equation that worked for the first few (five or six),
but it got prog... | 5 | [
-0.07958984375,
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0.03759765625,
0.00063323974609375,
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0.07861328125,
-0.08251953125,
0.021484375,
-0.12109375,
-0... | 13,061 | 13061 | |
Gaussian elimination
From CFD-Wiki
(Difference between revisions)
Jasond (Talk | contribs) Jasond (Talk | contribs)
← Older edit Newer edit →
Line 1: ... | 4 | [
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0.0201416015625,
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-0.046875,
0.007568359375,
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-0.0576171875,
... | 13,062 | 13062 | |
.
5. BIAS AND HIERARCHICAL CLUSTERING
The biggest stumbling-block for attempts to confront theories of cosmological structure formation with observations of galaxy clustering is the uncertain and possibly biased relationship between
galaxies and the distribution of gravitating matter. The idea that galaxy formation m... | 4 | [
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0.06396484375,
-0.0810546875,
-0.0732... | 13,063 | 13063 | |
Chebyshev wavelets method for solving Bratu’s problem
Abstract
A numerical method for one-dimensional Bratu’s problem is presented in this work. The method is based on Chebyshev wavelets approximates. The operational matrix of derivative of Chebyshev wavelets is
introduced. The matrix together with the collocation met... | 5 | [
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-0.09765625,
-0.... | 13,064 | 13064 | |
Algebra
Hence, if (x, y) be the co-ordinates of P, as w* varies continuously from - oo to +00, P will describe continuously the right-hand branch A'AA" of the rectangular hyperbola, whose
semi-axis-major is OA = a, in the direction indicated by the arr... | 4 | [
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0.0625,
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-0.0230712890625,
-0.0722656... | 13,065 | 13065 | |
Power and rate allocation for video conferencing in cellular networks
Abstract
We consider resource allocation for semi-elastic applications such as video conferencing. We propose to model user utility as a sigmoid function of the average bit rate over multiple time slots. The
goal is to maximize the total expected us... | 4 | [
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0.018798828125,
-0.0203857421875,
0.0595703125,
0.091796875,
-0.01806640... | 13,066 | 13066 | |
Inverting a covariance matrix numerically stable
up vote 4 down vote favorite
1
Given an $n\times n$ covariance matrix $C$ where $n$ around $250$, I need to calculate $x\cdot C^{-1}\cdot x^t$ for many vectors $x \in \mathbb{R}^n$ (the problem comes from approximating noise by an
$n$-dimensional Gaussian distribution).... | 4 | [
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-0.0191650390625,
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0.0693359375,
0.046142578125,
0... | 13,067 | 13067 | |
Double integral change of variable examples
Example 1
Compute the double integral \begin{align*} \iint_\dlr g(x,y) dA \end{align*} where $g(x,y)=x^2+y^2$ and $\dlr$ is disk of radius 6 centered at origin.
Solution: Since computing this integral in rectangular coordinates is too difficult, we change to polar coordinat... | 5 | [
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0.005401611328125,
0.021728515625,
-0.0093994140625,
-0.052001953125,
0.... | 13,068 | 13068 | |
Invertible STFT and ISTFT in Python
up vote 25 down vote favorite
11
Is there any general-purpose form of short-time Fourier transform with corresponding inverse transform built into SciPy or NumPy or whatever?
There's the pyplot specgram function in matplotlib, which calls ax.specgram(), which calls mlab.specgram(),... | 5 | [
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0.0791015625,
-0.0281982421875,
0.03637695... | 13,069 | 13069 | |
Jamie Craane's Blog
Out of interest I am familiarizing myself in genetic algorithms, in short GA. My interest in GA came when I first heard about the JGAP project. As mentioned on the project's site "JGAP (pronounced
"jay-gap") is a Genetic Algorithms and Genetic Programming component provided as a Java framework.". Fo... | 5 | [
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-0.058349609375,
-0.07421875,
-0.0157470703125,
0.0419921875,
0.00098419... | 13,070 | 13070 | |
Duration
Philippe Jorion's
Orange County Case:
2.1 Duration
Definition
Duration is a characteristic of a bond. For fixed-coupon bonds, duration can be intuitively defined as the average maturity of all bond payments, where each payment is weighted by its value. In the
fixed-income market, duration is an essenti... | 4 | [
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-0.0198974609375,
0.00107574462890625,
-0.004150390625,
-0.02685546875,
-0.040283203... | 13,071 | 13071 | |
Primes and $x^2+2y^2+4z^2$
up vote 13 down vote favorite
3
A few months ago, I have asked a question about primes represented by ternary quadratic forms. I got two wonderful answers, which showed me how the theory was way richer and more complex that I
naively expected from the case of binary forms. I was also given a... | 5 | [
-0.044189453125,
-0.03173828125,
0.00811767578125,
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0.033203125,
0.0269775390625,
0.0269775390625,
-0.0084228515625,
0.0240478515625... | 13,072 | 13072 | |
Solving by Interpolation
Date: 05/30/2001 at 05:04:47
From: Rosly
Subject: Exponential equation
Dear Dr. Math,
Given y = 10 and b = 1.419, find X from this equation:
y = ( b^(-0.25X)) + 0.84X
I have X, but when I replaced in the equation above, I couldn't get
y = 10.
I really appreciate your consultation.
D... | 5 | [
-0.0654296875,
0.0019378662109375,
0.0203857421875,
0.007537841796875,
-0.004119873046875,
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0.0595703125,
0.052734375,
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-0.0120849609375,
0.018310546875,
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0.06787109375,
0.0830078125,
0.12060546875,
0.1279296875,
-0.083984375,
-0.0... | 13,073 | 13073 | |
Simplifying algebraic expressions
Simplifying algebraic expressions with one or more variables by combining like terms is what this lesson will show you.
We will show you first how to simplify numerical expressions.
Let's say you are adding 5 + 5 + 5 + 5. What is a quick way to get the answer?
You can do 4 × 5 and... | 4 | [
0.0089111328125,
0.0654296875,
0.00634765625,
-0.01092529296875,
0.0074462890625,
0.0361328125,
-0.042724609375,
-0.0390625,
0.03271484375,
0.0458984375,
0.007659912109375,
0.003082275390625,
-0.056396484375,
0.0286865234375,
-0.027099609375,
0.0137939453125,
-0.11474609375,
0.1523... | 13,074 | 13074 | |
Checkerboard Squares
Date: 09/29/97 at 18:40:08
From: Tasha Gibson
Subject: Checkerboard squares
My teacher gives us a problem of the week and I haven't really been
able to figure out this last one. Here's the question:
Say you have an 8x8 checkerboard. There are many other little and
big squares inside of that so ... | 4 | [
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0.0201416015625,
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-0.051025390625,
0.04150390625,
-0.12890625,
-0.049560546875,
-0.0025634765625... | 13,075 | 13075 | |
Cycling Motion Problem
Associated Topics || Dr. Math Home || Search Dr. Math
Cycling Motion Problem
Date: 6/26/96... | 4 | [
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0.0888671875,
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0.034423828125,
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0.05810546875,
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0.09179687... | 13,076 | 13076 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
Choose four consecutive whole numbers.
Multiply the first and last numbers together.
Multiply the middle pair together.
Choose several different sets of four consecutive whole numbers and do the same.
What do you notice?
Can you explain wha... | 4 | [
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0.037841796875,
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-0.00107574462890625,
-0.032470703125,
-0.0654296875,
-0.0184326171875,
-0.0... | 13,077 | 13077 | |
Entropy conjecture for distributions over $\mathbb{Z}_n$
up vote 7 down vote favorite
1
Suppose we have two independent random variables $X$ (with distribution $p_X$) and $Y$ (with distribution $p_Y$) which take values in the cyclic group $\mathbb{Z}_n$. Let $Z = X +Y$, where the
addition is done modulo $n$. Distribut... | 4 | [
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-0.0098876953125,
-0.0033874511718... | 13,078 | 13078 | |
Formal Schemes Mittag Leffler
up vote 16 down vote favorite
3
Here is a question that I'm just copying from Math Stack Exchange that I asked awhile ago. It has just been sitting there unanswered, and although I haven't really thought about it since I posted it,
I'm still very interested in a nice example if it exists.... | 4 | [
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-0.08056640625,
-0.031982421875,
0.056396484375,
0.07470703125,
0.002105712890625,
... | 13,079 | 13079 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
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Here's the question you clicked on:
aboveit Group Title
A 120-foot-long rope i... | 4 | [
-0.045654296875,
0.045654296875,
0.0024871826171875,
-0.0291748046875,
-0.03857421875,
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-0.000942230224609375,
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0.048095703125,
0.0625,
-0.0164794921875,
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-0.037109375,
-0.026123046875,
0.09326171875,
-0.11083984375,
0.0... | 13,080 | 13080 | |
Separation of Variables
January 5th 2011, 01:41 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Separation of Variables
$u_{xyz}-xyzu=0$
$\varphi'(x)\psi'(y)\omega'(z)-xyz\varphi(x)\psi(y)\omega(z)=0$
$\displaystyle\frac{\varphi'(x)}{\varphi(x)}=\frac{ xyz\psi(y)... | 5 | [
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-0.003143310546875,
0.0859375,
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... | 13,081 | 13081 | |
Pi-algebra
Context
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Contents
Idea
A $\Pi$-algebra is an algebraic model for the homotopy groups $\pi_*X$ of a pointed topological space, $X$, together with the action of the primary homotopy operations on them, in th... | 4 | [
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-0.0096435546875,
0.0230712890625,
0.08642578125,
-0.0595703125,
-0.0121459... | 13,082 | 13082 | |
Computing the Factoradic Rank of a Permutation (N choose K)
up vote 3 down vote favorite
2
I've recently learnt about CNS and FNS, and since they look so elegant to me, I decided to try and implement methods to generate combinations and permutations using those techniques. I finished my
method to convert from n choose... | 5 | [
-0.047119140625,
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-0.04345703125,
-0.0693359375,
0.05029296875,
-0.047119140625,
0.030395507... | 13,083 | 13083 | |
Are there countable index subrings of the reals?
up vote 17 down vote favorite
7
1. Does ${\mathbb R}$ have proper, countable index subrings? By countable I mean finite or countably infinite. By subring I mean any additive subgroup which is closed under multiplication (I don't
care if it contains $1$.) By index, ... | 5 | [
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0.0037994384765625,
-0... | 13,084 | 13084 | |
Equations, Inequalities and Basic Logic
1.5 QUADRATIC INEQUALITIES
In Section 1.3 we solved inequalities of the type
In this section we shall learn about procedures for solving
First, let us consider the simple quadratic inequality x^2 b. Since x^2 ≥ 0, if b < 0, there is no solution for this inequality. Here, we mu... | 4 | [
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0.05712890625,
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0.05029296875,
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ion
Decimal To Hex Conversion
A recent project required a decimal to hex conversion. In LotusScript, this is very basic. But this needed to be done in formula language for this particular application. So we wrote a decimal to hex
conversion using looping in the R6 formula language.
Since just about every calculator o... | 4 | [
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B-Tree
B-Trees: Balanced Tree Data Structures
Introduction
Tree structures support various basic dynamic set operations including Search, Predecessor, Successor, Minimum, Maximum, Insert, and Delete in time proportional to the height of... | 4 | [
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Statics eBook: Introduction to Distributed Loads
STATICS - THEORY
In many static problems, applied loads are given as distributed force loads. This is similar to stacking sand bags on a beam so that the load is... | 4 | [
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Solar for Heat... Ouch! - Wood, Gas, Oil, Geothermal and Other Heating Units
Came across this site that gives you a formula to determine the amount of solar panels you would need to replace current needs:
http://www.solar-electric.com/solar_system_costs.htm
# First, take number of KWH shown on your bill. Divi... | 4 | [
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Linear interpolation
From Encyclopedia of Mathematics
A method for the approximate calculation of the value of a function $f(x)$, based on the replacement of $f(x)$ by a linear function
\[ L(x)=a(x-x_1)+b,\]
the parameters $a$ and $b$ being chosen in such a way that the values of $L(x)$ coincide with the values of ... | 4 | [
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Prime Surrogates for Demented Denormalization
So here's the issue. I've got a code translation / lookup table that's denormalized with three values, like so:
A
B
C
AB
AC
BC
ABC
Each combination has its own description. And the values are always ordered lowest-to-highest (always ABC, not CBA).
The objects have normal... | 4 | [
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Groups — A Primer
The study of groups is often one’s first foray into advanced mathematics. In the naivete of set theory one develops tools for describing basic objects, and through a first run at analysis one
develops a certain dexterity for manipulating symbols and definitions. But it is not until the study of group... | 4 | [
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Frobenius homomorphism
Frobenius homomorphism
Let $F$ be a field of characteristic $p>0$. Then for any $a,b\in F$,
$\displaystyle(a+b)^{p}$ $\displaystyle=$ $\displaystyle a^{p}+b^{p},$
$\displaystyle(ab)^{p}$ $\displaystyle=$ $\displaystyle a^{p}b^{p}.$
Thus the map
$\begin{matrix}\phi:F&\to&F\\ a&\mapsto&a^{... | 4 | [
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geometric realization of categories
Context
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Contents
Definition
Write
$N : Cat \to sSet$
for the nerve functor from Cat to sS... | 4 | [
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0... | 13,094 | 13094 | |
dy
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Here's the question you clicked on:
Edutopia Group Title
in simple harmonic mo... | 4 | [
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Electric Power Single and Three Phase Power Active Reactive Apparent
Complex Power
It is very conceptual and essential to understand. For establishing the expression of complex power, we have to first consider a single phase network that's voltage and current can be represented in
complex form as V.e^jα and I.e^jβ. Wh... | 4 | [
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smooth structure from submanifolds
This can be interpreted in several ways mathematically. We start with two smooth manifolds, $M$ and $N$, and a bijection $\Phi \colon M \to N$. We want to learn something about what $\Phi$ must or
can be by testing it on submanifolds. Ideally, we would like a condition equivalent to $... | 4 | [
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Angular and Linear Fields of View of Galilean Telescopes and... : Optometry & Vision Science
The Galilean telescope is widely used in low-vision prescriptions. As is common in compound optical instruments, its field of view (FOV) is greatly limited. Consequently, for telescopes of a given
magnification (all other thing... | 4 | [
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.
4. ENERGETIC PARTICLE ACCELERATION IN COLLISIONLESS SHOCKS
The reflected ions with a gyro-radius exceeding the width of the shock transition region can then be efficiently accelerated, via the Fermi mechanism, by converging plasma flows carrying magnetic
inhomogeneities and MHD waves. In perpendicular shock a net t... | 4 | [
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