content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Sunday FunctionSunday Function
A reader asked me about the hyperbolic trig functions, sinh(x) and cosh(x). What are they for, and do they have an intuitive interpretation in physics?
That’s a pretty good question. After all, most of the time you first meet the hyperbolic trig functions in intro calculus, where their r... | 4 | [
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Virginia Population Density
Reporting category Computation and Estimation/Patterns, Functions,
and Algebra
Overview Given the population numbers of Virginia and West
Virginia and the numbe... | 4 | [
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Three impossible integrals and two challenging ones
May 18th 2008, 08:58 PM
Mathstud28
Three impossible integrals and two challenging ones
Show that
$\int_0^{\frac{\pi}{2}}\tan^{x}(\theta)d\theta=\fra c{\pi}{2\cos\bigg(\frac{x\pi}{2}\bigg)}$
and
$\int_0^{\infty}\frac{arctan(ax)-arctan(bx)}{x}=\f... | 5 | [
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st
Astro::Cosmology - calculate cosmological distances, volumes, and times
This module provides a set of routines to calculate a number of cosmological quantities based on distance and time. Some are a bit complex - e.g. the volume element at a given redshift - while some,
such as the conversion between flux and lumin... | 4 | [
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Stochastic Heat Equation
up vote 3 down vote favorite
1
Given the heat equation:
$$\partial_{t}{\varPhi(x,t)}=k^2\partial_{xx}{\varPhi(x,t)}$$
with the boundary conditions:
$$\Phi(x,0)=\Phi_0$$
and a Neumann boundary condition of the kind:
$${\partial_{x}}{\Phi(0,t)=\nu(t)+C}$$
where $\nu(t)$ is a stochastic var... | 5 | [
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linear expansion
The Forth railway bridge has an overall length of 2,529 m (about 1½ miles). It is made of steel (coefficient of linear expansion = 0.000012 per °C). If the greatest difference in temperature between
the coldest and hottest days is 35°C the length of the bridge can change by 2529 × 0.000012 × 35 = ... | 4 | [
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Closed forms of summations and reprospective relations
January 14th 2012, 10:40 PM
grainofsand
Closed forms of summations and reprospective relations
Hello and have a nice week !
Im asking your help with the following exercices (tried but failed).
So the first one
Find the closed form of the double ... | 5 | [
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Recovering a measure from its moments
up vote 5 down vote favorite
1
Suppose we are given moments of a measure on the interval [0,1]. Is there some practical way to recover the measure itself? I am particularly interested in the case where the measure density is given
by some smooth positive function, and I would like... | 4 | [
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Richard Elwes
23rd July, 2014
If you’ve got a spare hour[1] at some stage here is a video of a talk I gave last month on Gödel, Incompleteness & Unprovable Theorems.
[1] The joy of the pause button is that the hour doesn’t have to form a single contiguous block.
Categories: Elwes Elsewhere, Logic, Maths | Comments (... | 5 | [
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Reflections on Transistor Stability
[For a copy of this article in PDF format, which displays figures and equations, click
. Requires Adobe Acrobat Reader,
]
When designing amplifiers, one goal is to get rid of any oscillations. The standard approach is to examine the so-called K-factor, or stability circles on the ... | 4 | [
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Water-to-Cement Ratio and Aggregate Moisture Corrections
By Adam D. Neuwald
Two of the most commonly specified requirements for concrete used in the manufactured concrete products industry are the design compressive strength (f’ c) and the maximum water-to-cement ratio (w/
c). These two values are inversely related, w... | 4 | [
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How Quantization and Thermal Noise Determine an ADC's Effective Noise Figure
How Quantization and Thermal Noise Determine an ADC's Effective Noise Figure
© Sep 09, 2002, Maxim Integrated Products, Inc.
Abstract: The following application note provides an insight into the mathematical definitions of quantization and ... | 5 | [
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HCL pattern 2012
PERMIT SOLUTIONS
HCL MODEL TEST
Total Time Duration: 2 Hours 10 Minutes
Answer All the Sections PART A, PART B, PART C, PART D:
PART A – 25 Questions / 25 Minutes
Against each key word are given some suggeste... | 4 | [
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annoying sigma problem
I have done it a few times, but I can't seem to get the right answer:
Limit n-> infinity : nE(i=1)_(1+(2i)/n)^2*(2/n)
here is my best attempt:
(limit in front for all of this)
1. move the 2/n over to get: 2/n*(nE(i=1)_(1+(2i)/n)^2)
2. foil to get: 2/n*(nE(i=1)_(1+4i/n+4... | 5 | [
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Simple Tamagawa number calculations
up vote 12 down vote favorite
9
As is well known, Euler proved the Basel identity $\displaystyle\sum\limits_{i=0}^{\infty} \frac{1}{n^2} = \frac{{\pi}^2}{6}$. By far the most illuminating explanation of this fact that I've seen is
as follows:
By another theorem of Euler we can ... | 4 | [
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Golden Ratio the divine proportion
Great Theoretical Ideas In Computer Science
John Lafferty CS 15-251 Fall 2006
Lecture 13 October 10, 2006 Carnegie Mellon University
The Golden Ratio, Fibonacci
... | 4 | [
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Single Slit Diffraction
Diffraction is an important characteristic of waves. It can be said to one of the defining characteristics of a wave. It occurs when part of a wavefront is obstructed. The parts of the wavefronts
that propagate past the the obstacle interfere and create a diffraction pattern. Diffraction and int... | 4 | [
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Conservation of Energy
Photo 1 of Lab
Photo 2 of Lab
Photo 3 of Lab
We have discussed today in class the concept of energy. What we have seen is that energy takes many forms and that it transforms back and forth between these various forms. One definition of energy
is that it is something (some "stuff") that if you ... | 4 | [
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Intersection of compact sets in the unit interval
up vote 16 down vote favorite
Let $\mathscr K$ be an uncountable set such that every $K\in\mathscr K$ is a compact subset of $[0,1]$ with positive Lebesgue measure. Does it then follow that there exists an uncountable $\mathscr A
\subseteq\mathscr K$ with $\bigcap\,\ma... | 5 | [
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having difficulty with this problem
03-24-2002 #1
Unregistered
Guest
having difficulty with this problem
okay, I am doing this problem my friend gave me as a challenge and I want to convert it into code but it almost seems impossible to convert this problem into code to get the solution. any help or
suggestio... | 4 | [
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Paper 10 International Journal of Computer Information
International Journal of Computer Information Systems,
V... | 4 | [
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DOA by MUSIC algorithm
There are 8 messages in this thread.
You are currently looking at messages 1 to .
Is this discussion worth a thumbs up?
DOA by MUSIC algorithm - krish_dsp - 2008-08-15 18:45:00
HI everyone,
I am going to do a project on implementation of DOA estimation algorithm
using MUSIC. I have read the ... | 5 | [
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Swaps
Swaps
A swap is a contract calling for an exchange of
payments over time.
Almost anything can be swapped these days:
Interest rate payments
Asset cash flows
Credit risk
Commodity
... | 5 | [
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Can you check this integration for me please
I think the denominator should be the other way around: it-lambda ip means integration by parts
If you are trying to evaluate $\lambda ^2 \int_0^{\infty}{x\,e^{x(i\,t - \lambda)}\,dx}$ $\lambda ^2 \int_0^{\infty}{x\,e^{x(i\,t - \lambda)}\,dx} = \frac{\lambda ^2}{i\,t - \lam... | 5 | [
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every algebraically closed field is perfect
every algebraically closed field is perfect
Proposition 1.
Every algebraically closed field is perfect
Proof.
Let $K$ be an algebraically closed field of prime characteristic $p$. Take $a\in K$. Then the polynomial $X^{p}-a$ admits a zero in $K$. It follows that $a$ admi... | 5 | [
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Illustrating Three Approaches to GPU Computing: The Mandelbrot Set
The values below specify a highly zoomed part of the Mandelbrot Set in the valley between the main cardioid and the p/q bulb to its left.
A 1000x1000 grid of real parts (X) and imaginary parts (Y) is created between these limits and the Mandelbrot algo... | 4 | [
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volume optimization
March 30th 2010, 04:36 PM #1
Newbie
Joined
Feb 2010
Posts
19
volume optimization
How do I go about doing this problem:
A box with a square base and open top must have a volume of 32000 cm3. Find the dimensions of the box that minimize the amount of material used.
1 cm (length... | 4 | [
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... | 44,326 | 44326 | |
Fixed Points
February 21st 2010, 07:59 AM #1
Junior Member
Joined
Mar 2009
Posts
62
Fixed Points
Hi,
I am having trouble working out this. I have got this equation, x^2 -x - 0.5 = 0. Then the answer is 0.5√3, which is +/-0.366. How can you find that value?
Any help needed.
Quadratic formul... | 4 | [
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libMesh: A C++ Finite Element Library
On Thu, 3 Mar 2011, Boyce Griffith wrote:
> On 3/2/11 11:55 AM, Roy Stogner wrote:
>
>> For the inhomogeneous cases: we basically turn K*x = F, x=C*y into
>> C^T*K*C*y=C^T*F. That's still a symmetric matrix. It's a smaller
>> symmetric matrix in the case where length(y) < length(x... | 4 | [
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This question is so hard!! any help??
December 4th 2008, 11:07 AM #1
Newbie
Joined
Nov 2008
Posts
13
This question is so hard!! any help??
Consider a function $f(x)$ where $f(x) \succeq 0$ for $a \preceq x \preceq b$.
Define the 'surface of revolution' to be the surface swept out by a complete revol... | 5 | [
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Experiment CF Centripetal Force
Note: You will need both of your LVPS for this experiment. So build your second LVPS if you
have not done so already.
Introduction
This experiment is about centripetal force, the force that keeps objects moving in a circ... | 4 | [
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0.... | 44,330 | 44330 | |
Home Depot: Fundamental Analysis WACC, Cost of Debt and Cost of Equity $HDHome Depot: Fundamental Analysis WACC, Cost of Debt and Cost of Equity $HDHome Depot: Fundamental Analysis WACC, Cost of Debt and Cost of Equity $HD | Stock Researching
Home Depot: Fundamental Analysis WACC, Cost of Debt and Cost of Equity $HD
... | 5 | [
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Another Look at Prime Numbers
Get the Math, Better Explained eBook and turn Huh? to Aha!
Primes are numeric celebrities: they're used in movies, security codes, puzzles, and are even the subject of forlorn looks from university professors.
But mathematicians delight in finding the first 20 billion primes, rather t... | 4 | [
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Spring-Mass system (with damping force AND impressed force). Find Position fcn.
I solved it! I'll edit this post with a scan of the sheet of paper i wrote on.
Great! I'm very willing to double-check your work, if you like. I can wait for your post.
I haven't gotten time to get to my scanner yet, but basically I did i... | 5 | [
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Comparing Datasets
Comparing Datasets and
Comparing a Dataset with a
Standard
How different is enough?
Concepts:
• Independence of each data point
• Test statistics
• Central Limit Theorem
• Standard error of the mean
• Confidence interval ... | 5 | [
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Volume of a Rectangular Solid
Date: 4/4/96 at 8:15:12
From: Elena Viola
Subject: (no subject)
How do you calculate the lateral area, total area, and volume of a
rectangular solid with the following dimensions:
Length 4 decimeters
Width 3 decimeters
Height 2 decimeters
Thanks
Date: 4/4/96 at 14:25:55
From: ... | 4 | [
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2 Data Management Questions
November 22nd 2012, 11:59 PM
alfalfa1
2 Data Management Questions
Hello I'm having difficulty solving the following two questions and I need your help!
(Step by step solutions would be very much appreciated if possible)
Use a significance level of 0.05 for each question.
... | 5 | [
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Why W?
COMPUTING SCIENCE
Why W?
No, not that W. I won't be drawn into presidential politics here. The W I want to discuss is something else entirely: the Lambert W function, a mathematical contrivance that has been getting a fair
amount of attention lately. The buzz began in the world of computer-algebra systems such... | 4 | [
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Things that amuse me
Overloading Haskell numbers, part 3, Fixed Precision.
Fixed precision numbers can be handy to have sometimes. Haskell only provides integral, rational, and floating point in the Prelude, but I want more! I want to define a type of fixed precision
numbers, i.e., numbers that have a certain number o... | 4 | [
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0.052734375,
... | 44,338 | 44338 | |
Probability Question
June 10th 2014, 07:15 PM #1
Junior Member
Joined
Sep 2013
From
Ohio
Posts
45
Probability Question
Hi, can anyone help me out or give me a hint?
"Abe owns an apple orchard. He is having pest problems, and he has a scanner at his disposal which allows him to check if a tree is ... | 4 | [
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Design Finite Impulse Response Digital Filters
Interpolation, as was noted last month, is an effective means of achieving a desired filter response (such as an equiripple response) with a reduced number of multipliers. The approach was applied to
the implementation of interpolation finite-impulse-response (IFIR) filter... | 4 | [
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0.001... | 44,340 | 44340 | |
Orthogonality
November 2nd 2009, 08:55 AM #1
Member
Joined
Sep 2009
Posts
158
Orthogonality
How do I show ... if C and Q are nxn orthogonal matrices then so are CQ and (C^T)QC
Find the closest line to the points (-1, 0); (0, 1); (1, 2); (2, 4).
i'll do the first one since you can do the ... | 5 | [
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Method and apparatus for digital error correction for binary successive approximation ADC
Patent application title: Method and apparatus for digital error correction for binary successive approximation ADC
Sign up to receive free email alerts when patent applications with chos... | 4 | [
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Math Help
July 27th 2008, 06:16 AM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Cost of a Can
A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are made of material that costs 6 cents per square centimeter, while the
... | 4 | [
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Rigged Dice - Expected Sum
November 18th 2008, 09:11 PM
ccdelia7
Rigged Dice - Expected Sum
1. A pair of dice (A & B) are rigged to have a higher than normal chance of getting snake eyes (double ones).
□ For each dice there is 3 times the probability of getting a 1 as the other numbers. So, for dice A, the... | 4 | [
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-0.0... | 44,344 | 44344 | |
Differential Equations...
February 12th 2009, 01:20 AM #1
Junior Member
Joined
Feb 2009
Posts
34
Differential Equations...
a) Write down the general solution of the differential equation dy/dx + 3y = 0.
b) Use a suitable trial function to find one simple particular solution of dy/dx + 3y = -6
c... | 4 | [
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groups
June 19th 2012, 05:13 PM
saravananbs
groups
$A=S4XS3$ then
is 2-sylow subgroup is normal in it?
is 3-sylow subgroup is normal in it?
is a subgroup of order 72 is normal?
i think all are possible.
since order of A =144 $=2^4X3^2$
June 19th 2012, 07:15 PM
Deveno
Re: groups
th... | 5 | [
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[SOLVED] Trig chord angle problem
September 12th 2008, 09:27 AM
hyperkinetic
[SOLVED] Trig chord angle problem
This should be simple but its got me stumped so I could use some help.
Code:
:**** :
: *** :
: ** + : : is the tangent line
: +\* : + marks the line in question
: + \ * : \ mar... | 4 | [
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Testing the convergence
May 3rd 2009, 10:16 PM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
Testing the convergence
Test the convergence of the series
$<br /> \frac{1}{2\sqrt{1}} + \frac{x^2}{3\sqrt{2}} + \frac{x^4}{4\sqrt{3}}+\frac{x^6}{5\sqrt{4}}+.... \infty<br /> <br />$
It is given... | 4 | [
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double summation
April 26th 2009, 07:32 PM
jlt1209
double summation
(sorry i dont know how to do the summation symbol)
double summation, j=1 to 4 and k=2 to 8 (j*k)
is there a specific formula you are supposed to use?
April 28th 2009, 02:16 AM
Moo
Hello,
Quote:
$\sum_{j=1}^4 \sum_{k=2}... | 4 | [
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Working with depreciation problems HP
hp calculators
HP 12C Platinum
Depreciation
Depreciation
Depreciation on the HP12C Platinum
Practice solving depreciation problems
Practice solving partial-year depreciation problems
Additional information
hp calculators
HP 12C Pl... | 4 | [
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0.078... | 44,350 | 44350 | |
Resolution Exercise Solutions
2. Consider the following axioms:
1. Every child loves Santa.
&forall x (CHILD(x) &rarr LOVES(x,Santa))
2. Everyone who loves Santa loves any reindeer.
&forall x (LOVES(x,Santa) &rarr &forall y (REINDEER(y) &rarr LOVES(x,y)))
3. Rudolph is a reindeer, and Rudolph has a red n... | 4 | [
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... | 44,351 | 44351 | |
a.Show in factor theorem that x+1 is factor of x^25+1
b.show x intercepts in polynomialx^4-1 - Homework Help - eNotes.com
a.Show in factor theorem that x+1 is factor of x^25+1
b.show x intercepts in polynomialx^4-1
a) You need to remember the fact that the linear binomial x-p denotes a factor for a polynomial `P(x), ... | 4 | [
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Analysis of Lithium's algorithm
By default, Lithium uses a clever algorithm that's efficient at reducing most large testcases. For a testcase with 2048 lines, it will try removing each chunk of size 1024, permanently removing
it if it is still 'interesting'. It then does the same for each chunk of size 512, th... | 4 | [
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... | 44,353 | 44353 | |
Another Nice Proof of the Derangements Formula
Strangely enough, a couple of days after I made my last post on a way to prove the derangements formula that I had never seen before, I came across another new (to me) way to prove the derangements
formula in an article [1] by P. Mark Kayll in Mathematics Magazine from ea... | 5 | [
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Probability
May 5th 2009, 01:07 PM #1
Newbie
Joined
May 2009
Posts
5
Probability
A family has eleven children. The probability of having a girl is 1/2. What is the probability of having no more than 1 boy?
Please show your work. Thanks in advance.
First off I think a mod should move this since ... | 4 | [
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My Biased Coin
While at NZIMA, I listened to Dominic Welsh's talks on Markov chains. It was a general talk, with a large chunk devoted to rapid mixing and applications. At some point he brought up the voter and
anti-voter model, problems that I heard about a long time ago in the distant past, and that raised some quest... | 5 | [
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-0... | 44,356 | 44356 | |
Integral that I just can't figure out !
March 8th 2013, 03:00 PM #1
Newbie
Joined
Mar 2013
From
London
Posts
2
Hi all, for some reason I just keep going round in circles with this indefinite integral;
Int: (2x^3 + x) * arctan[x] dx
Sorry for lack of formatting. This is driving me mad, I know... | 5 | [
0.033203125,
-0.0126953125,
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0.0166015625,
... | 44,357 | 44357 | |
Parametrically Defined Curves
February 22nd 2011, 08:59 PM #1
Member
Joined
Apr 2009
Posts
87
Parametrically Defined Curves
Describe the following curve:
r(t)=2cost i +3sint j
The ans is:
An Ellipse
since (x^2)/(2^2)+(y^2)/(3^2) = 1
I cant see where they get this ans from?
$\... | 4 | [
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Leray spectral sequence for lowest weight part of a smooth morphism
up vote 2 down vote favorite
Let me assume everything in sight is as nice as possible, probably if the result I want is true then these conditions are too restrictive. All spaces will be smooth algebraic varieties over the
complex numbers. We are give... | 5 | [
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0.0137329101562... | 44,359 | 44359 | |
Russell's Paradox
From Conservapedia
Bertrand Russell's Paradox revealed a flaw in 1901 in early or naive set theory. (It is likely others saw this flaw before Bertrand Russell.) It is a form of the liar's paradox expressed in the terms
of set theory.
The defect is as follows. Let S be the set of all sets that do no... | 4 | [
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-0.0... | 44,360 | 44360 | |
Sequential topological vector spaces
up vote 2 down vote favorite
1
Since I'm dealing with the distinction between sequential continuous and continuous maps at the moment I came to ask myself once again what can be said about spaces where these two notions agree (
sequential spaces). Of course we all know that metric ... | 4 | [
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nysvada
MOMENT OF STATIC STABILITY
Moment of static stability may be defined as the moment to return the ship to the initial position when inclined by an external force (such as wind and wave action).
we can see a ship which has been inclined by an external force. The centre of Buoyancy has moved from B to B[1] para... | 5 | [
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0.0520... | 44,362 | 44362 | |
The Cosmic Energy Inventory - M. Fukugita &
P.J.E. Peebles
2.3. The Baryon Rest Mass Budget
The entries in this category refer to the baryon rest mass: one must add the negative binding energies to get the present mass density in baryons. The binding energies are small and the distinction
purely formal at the accuracy... | 4 | [
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0.0... | 44,363 | 44363 | |
maximal order of elements in GL(n,p)
up vote 4 down vote favorite
1
I am looking for a formula for the maximal order of an element in GL(n,p), where p is prime.
I recall seeing such a formula in a paper from the mid- or early 20th century, but could not find again this reference. I will be grateful for any hint.
gr.... | 5 | [
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Is there an analog of adjoint functor theorem for adjunctions of two variables?
up vote 2 down vote favorite
1
Let $L:\mathscr A \times \mathscr B \longrightarrow \mathscr C$ and $R_1:\mathscr B^{op} \times \mathscr C \longrightarrow \mathscr A$ be two functors such that there is a bijection
$$ \mathscr C(L(A,B),C) \... | 4 | [
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An elementary proof of a distribution relation on elliptic curves
An elementary proof of a distribution relation
on elliptic curves∗
Frazer Jarvis
Department of Pure Mathematics
University o... | 5 | [
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-... | 44,366 | 44366 | |
Induction proof
August 14th 2009, 08:02 AM #1
Newbie
Joined
May 2009
Posts
23
Induction proof
I'm just trying to learn induction from scratch and my book asks me to proof the generalized version of the triangle inequality.
If $a_{1},a_{2},...,a_{n}$ are arbitrary real numbers, then
$|a_{1}+a_{2... | 5 | [
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EE111-Lecture16
I intend to complete this chapter Mutually Coupled Circuits.. (Refer slide time: 00:17 – 00:18)
Slide 1 Mutually coupled circuits
(Refer slide time: 00:28 – 01:35)
Slide 2 Mutual Inductance
In the last class we defined the term mutual inductance. It is defined as or it relates the voltage induced in... | 4 | [
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0.028564453125,
-0.020751953125... | 44,368 | 44368 | |
Sunday FunctionSunday Function
Here’s a very simple function:
You give it a positive real number, it gives you the square root. It maps 81 to 9, 100 to 10, 2 to 1.414…, and so on and so forth. It’s pretty much the only one-argument function that’s built into
most pocket calculators, which says something about its util... | 5 | [
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0.023193359375,
... | 44,369 | 44369 | |
Sweep-segment bot: Will this random walk sweep the plane?
up vote 15 down vote favorite
3
This model is inspired by the random behavior of the Roomba sweeping robot.
Let a unit segment $ab$ in the plane be placed initially with $a=(0,0)$ and $b=(1,0)$. The segment is first rotated a random angle $\theta_1$ about $a$,... | 5 | [
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Legendre Polynomials
Named in honor of Adrien-Marie (1752-1833) the mathematician, not Louis (1752-1797) the politician
A polynomial is a finite sum of terms like a[k]x^k, where k is a positive integer or zero. There are sets of polynomials such that the product of any two different ones, multiplied by a function w(x... | 4 | [
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-0.046630859375... | 44,371 | 44371 | |
Circuit poles from the Cochrun-Grabel method
In the first of this series of related articles on circuit dynamics, “Circuit Dynamics for Design”, the groundwork was laid in polynomial algebra for the development of some simple methods for
finding circuit poles and zeros. One of them, the Cochrun-Grabel method, is prese... | 4 | [
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0.05737... | 44,372 | 44372 | |
Pre 2-9 Scientific Notation
Scientific Notation
Warm Up
Order each set of numbers from least to
greatest.
1. 10 4, 10 –2, 100 , 10 –1
10–2, 10–1, 100, 104
2. 82, 8–2, 83 , 80
8–2, 80, 82, 83
3. 23 , 2–6 , 2–4, 21
2–6, 2–4, 21 , 23
4. 5.22, 5.29 , 5.2–1... | 4 | [
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Agent-based modeling in R – habitat diversity and species richness
April 20, 2013
By Maxwell B. Joseph
How does habitat diversity affect species richness? Perhaps intuition suggests that habitat diversity increases species richness by facilitating niche or resource partitioning among species. But, for
a fixed area, ... | 4 | [
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... | 44,374 | 44374 | |
Edge-coloring of a graph - special case
up vote 3 down vote favorite
1
Hi everyone,
I have a problem I am working on that can be reduced to the following special case of edge coloring.
Let $G = (V,E)$ be an arbitrary graph. Furthermore, let each edge be assigned a positive integer so that we have function $w: E \rig... | 4 | [
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0.01611328125,
... | 44,375 | 44375 | |
Math 221 (DOC)
Math 221 **** Example Format ****
Week 6 Lab
Submitted by: (Insert Name Here **REMOVE THIS NOTE PRIOR TO
SUBMITTING**)
(Note: Your labs should be well organized, with results clearly identified and in the
proper order. When answering... | 5 | [
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-0.074707... | 44,376 | 44376 | |
action functional
Context
Variational calculus
Differential geometric version
Derived differential geometric version
Physics
Contents
Idea
In physics the dynamics of a physical system may be encoded by a nonlinear functional – called the action functional – on its configuration space:
For emphasis the descripti... | 4 | [
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0.01306152... | 44,377 | 44377 | |
Similarity between Cauchy-Riemann eqs and Hamilton equations.
up vote 4 down vote favorite
2
I would like to see if this idea has any applications:
So CR equations are given by:
$$ \frac{\partial u}{\partial x} =\frac{\partial v}{\partial y} ; \ \frac{\partial u}{\partial y}=-\frac{\partial v}{\partial x}$$
And Ham... | 4 | [
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... | 44,378 | 44378 | |
Ultrametrics
October 15th 2013, 01:29 PM #1
Ultrametrics
I've been asked to show that a particular metric is actually an ultrametric. I'm a little lost, and I'll post what I have.
Here's the metric we're supposed to look at:
Let $X$ be any nonempty set. Define a metric $\mu : X \times X \to \mathbb{R}$ ... | 4 | [
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-0.01336669921875,
0.0966796875,... | 44,379 | 44379 | |
polychor error
Dear Janet,
Performing a traceback after the error gives a hint:
> tmp.pcc<-polychor(tmp.mat, ML=T, std.err=T)
> traceback()
8: stop("at least one element of ", sQuote("lower"), " is larger than ",
sQuote("upper"))
7: checkmvArgs(lower = lower, upper = upper, mean = mean, corr = corr,
sigma = sig... | 5 | [
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-0.040... | 44,380 | 44380 | |
Section 11, Fall 2006
Department of Mathematical Sciences
Northern Illinois University
MATH 229 Homepage (all sections)
MATH 229 Section 11, Fall 2006
... | 5 | [
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-0.0196533... | 44,381 | 44381 | |
Selberg sieve on a certain Set.
up vote 1 down vote favorite
I'm new to sieve theory, and I'm trying desperately to understand Selberg's sieve. I would like to apply the sieve to give me a nice upper bound on primes of the set $$A^D(N)= \{ Dq-2 : q\in P, N/2 <
q \leq N \} $$ But basically, for a fixed N, I would like ... | 5 | [
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0.0859375,
-0.014465332... | 44,382 | 44382 | |
Analysis - IRR, NPV, FV and PV
Home
>
Economics & Finance
> Analysis – IRR, NPV, FV and PV
Analysis – IRR, NPV, FV and PV
Internal Rate of Return (IRR)
If you have an investment that requires and produces a number of cash flows over time, the internal rate of return is defined to be the discount rate that makes t... | 4 | [
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homotopy equivalence
Context
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Equality and Equivalence
• equality (definitional, propositional, computational, judgemental, extensional, intensional, decidable)
• isomorphism, weak equivalence, homotopy equivalen... | 4 | [
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0.... | 44,384 | 44384 | |
On definition of surgery
up vote 3 down vote favorite
I am a beginner in surgery theory. I have started learning with ALGEBRAIC AND GEOMETRIC SURGERY by Andrew Ranicki.
On page 4 of the book he defines surgery :
Denition 1.2 A surgery on an $m$-dimensional manifold $M^m$ is the procedure of constructing a new $m$-di... | 4 | [
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Real character modular forms: Fourier coefficient real?
up vote 3 down vote favorite
2
Let $f$ be a modular form of level $N$ and real character $\chi$ of mod $N$ and weight $k$. Does the Fourier coefficient or hecke-eigenvalue of $f$ have to be real?
What I knew is that if $N=1$ and $\chi$ trivial then fourier coeff... | 5 | [
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Looks simple but I keep messing things up
January 13th 2010, 12:27 PM #1
Member
Joined
Dec 2009
Posts
180
Looks simple but I keep messing things up
Any idea where I go wrong? The two equations in the system are:
(1) $x/y-y/x = 1$
(2) $1/x-1/y = 1/2$
Now trying to simplify:
(1;2) $(xy)(... | 4 | [
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I modified Bessel function of the first kind
Article 11 — Appendix A.36
I modified Bessel function of the first kind
1. Definition
By definition modified Bessel function is solution of the modified Bessel equation
z^2 w′′ + z w′ − (z^2 + ν^2) w = 0
As second order equation it has two solutions, first of which ... | 4 | [
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-0.... | 44,388 | 44388 | |
market problem
September 26th 2010, 04:46 PM #1
Member
Joined
Apr 2010
From
dfsdfdf
Posts
160
market problem
Dear Sir
I would be grateful if you can help me to solve the the below questions
Last Monday, Danny walked from home to market. For the first 5 minutes, he was walking at an average s... | 4 | [
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Elimination of Weak Elliptic Curve Using Order of Points
(IJCSIS) International Journal of Computer Science and Information Security,
Vol. 10, No. 8, August 2012
... | 4 | [
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differentiable but not analytic function
August 9th 2012, 01:43 AM #1
Member
Joined
Sep 2010
Posts
151
Thanks
3
differentiable but not analytic function
Questiion: show that $x^3 + 3xy^2 -3x + i(y^3+3x^2y-3y)$ is differentiable on the coordinate axis but nowhere analytic.
Attempt: $u_{x} =3x^2 +... | 4 | [
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ut
Principles of Legged Dynamic Systems
Although animals and humans represent very complex dynamic systems, they show strikingly uniform and simple dynamics at the level of the center of mass (COM) when they walk or run. The COM dynamics
can be measured using ground reaction force plates that record the forces with... | 4 | [
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0.08... | 44,392 | 44392 | |
Can "syntactic forcing" add ordinals?
up vote 9 down vote favorite
1
Kunen, in paragraph VII.9 of his book talks about forcing "via syntactical models", where the we do not use set models of ZFC. Still, the functional $x \mapsto \check x$ can be defined as usual and
is, in a sense, an embedding of the ground model $\m... | 4 | [
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What's the simplest rational not expressible as a sum of a given number of unit fractions?
up vote 16 down vote favorite
5
This is essentially the same as the closed question Representation of rational numbers as the sum of 1/k but I hope I can make a case for it as an MO-worthy question.
Ed Pegg, Jr., in his Math Ga... | 4 | [
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Mirror Image
Repost from googleplus stream
Finds in arxiv
Computer vision
Convex Relaxations of SE(2) and SE(3) for Visual Pose Estimation
Finding camera position from the series of 2D (or depth) images is one of the most common (and difficult) task of computer vision.
The biggest problem here is incorporating rotati... | 4 | [
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Quadratic Trinomials
Date: 14 Aug 1995 13:28:05 -0400
From: Anonymous
Subject: algebra
I'm reviewing some stuff for algebra 2, and I forgot QUADRATIC TRINOMIALS.
It says "factor as the product linear binomials or write prime." Is there
some trick to figuring this out? Help me out, please.
* means squared
2x* + 5x... | 4 | [
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Independence, entanglement and decoherence with the quantum monad
Before I can do anything more sophisticated with my code for probability theory and quantum mechanics I need to talk about a couple of related subjects - independence and entanglement. Again, I'm
using the fact that formally, quantum mechanics is almost ... | 4 | [
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Is there a simple proof that a group of linear growth is quasi-isometric to Z?
up vote 26 down vote favorite
11
I proposed to a master's student to work, from the exercise in Ghys-de la Harpe's book, on the proof that a finitely generated group $G$ that is quasi-isometric to $\mathbb{Z}$ is virtually $\mathbb
{Z}$. Ho... | 4 | [
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Balls and Bins Oblivious Routing
EECS 495: Randomized Algorithms Lecture 7
Using Chernoff
Reading: Text: Chapter 4; Balanced Allo- Oblivious Routing
cations by Azar, Broder, Karlin, and Upfal
... | 5 | [
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... | 44,399 | 44399 |