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When does gradient flow not converge?
I've been thinking about gradient flows in the context of Morse theory, where we take a differentiable-enough function $$f$$ on some space (for now let's say a compact Riemannian manifold $$M$$) and use the trajectories of the gradient flow $$x'(t) = - \operatorname{grad} f(x(t))$... | {} |
• GOVINDANARAYANAN IDAYACHANDRAN
Articles written in Bulletin of Materials Science
• Designing miniaturized metamaterial absorber with tunable multiband characteristics for THz applications
In this paper, a novel tunable metamaterial absorber having multiple bands is presented for solving sensing-related issues in T... | {} |
# Turning an equation into a function in a module
I have defined a function like this:
f[q_] := Module[{g},
g[x_] := Evaluate[q];
...
]
I am calling the function like this:
f[2+4x+6x^2]
It's not working, because when I look at the definition of g in f, it looks like this:
f$$23750[x$$_]:=2+4 x+6 x^2
The "$" m... | {} |
0
101 Aug 09, 2009 at 02:00
I’ve been debugging through a problem I’ve had the past couple days with lighting my terrain engine. Below are the before/after pics of the lighting problem and the same picture of it after the problem was fixed (notice the odd striping effect on the first pic).
This is the code now:
norm... | {} |
# How do you solve 5^x= 20?
Dec 6, 2015
Take logs and use properties of logs to find:
$x = \frac{\log 20}{\log 5} = \frac{1 + \log 2}{1 - \log 2} \approx 1.86135$
#### Explanation:
If we take common logs of both sides then we get:
$\log 20 = \log {5}^{x} = x \log 5$
So $x = \frac{\log 20}{\log 5}$
We can do a l... | {} |
# Properties
Label 1050.2.i.b Level 1050 Weight 2 Character orbit 1050.i Analytic conductor 8.384 Analytic rank 0 Dimension 2 CM no Inner twists 2
# Related objects
## Newspace parameters
Level: $$N$$ $$=$$ $$1050 = 2 \cdot 3 \cdot 5^{2} \cdot 7$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 1050.i... | {} |
# Time dilation all messed up!
Okay! There is a problem with my logic and i cannot seem to point out where. There's a rocket ship travelling at close-to-c speed v without any acceleration (hypothetically), and there is an observer AA with a clock A on earth, and there's another observer on the rocket BB with a clock B... | {} |
# How do you find the slope of y=2x?
Slope is $2$
The slope-intercept form is $y = m x + b$ where $m$ is the slope value.
In the equation $y = 2 x$, the $m$ value is $2$. Therefore, $2$ is the slope. | {} |
# principal curvature and its relationship to second fundamental form
In the Wikipedia definition of principal curvature, it says that the principal curvatures are the eigenvalues of the symmetric matrix $\left[I\!I_{ij}\right] = \begin{bmatrix} I\!I(X_1,X_1)&I\!I(X_1,X_2)\\ I\!I(X_2,X_1)&I\!I(X_2,X_2) \end{bmatrix}.$... | {} |
# Phasor diagrams for RLC series circuit?
So, here's the circuit:
How can I make phasor diagrams for the circuit in case when $$I_C<I_L$$ and $$I_C>I_L$$
Edit: What made me confused is the current conditions, it's actually voltage $$U_C<U_L$$ and $$U_C>U_L$$
• One will cause a lag of current (C) or lead (L), of whi... | {} |
# Question #ce88a
Mar 10, 2017
$= \frac{1 - 2 \log x \ln \left(10\right)}{{x}^{3} \ln \left(10\right)}$
#### Explanation:
$\frac{d}{\mathrm{dx}} \left(\log \frac{x}{x} ^ 2\right)$
This will require the quotient rule, the power rule, and knowing the derivitave of $\log x$.
Recall the quotient rule for finding a de... | {} |
# Multi-agent systems. Accuracy guarantees for a class of randomized averaging algorithms
Speaker:
Julien M. Hendrickx
Affiliation:
ICTEAM institute, Universite' catholique de Louvain-Belgium
When:
Wednesday 10th May 2017
Time:
14:15:00
Where:
Aula Seminari Saleri VI Piano MOX-Diparrtimento di Matematica, edif. 14 La ... | {} |
# Internals of TeX Live 1: stacked versus non-stacked files, texmf.cnf adaptions
I thought about writing a series of entries about internals of the TeX Live ecosystem. Background is that there is a big need for packaging TeX Live for Distributions. I gave a talk on this topic at the FOSDEM 2013 in Brussels, but still ... | {} |
# Create a custom spectral model¶
This use case illustrates how the User can define his own density spectral function from parametric models. The library allows it thanks to the object UserDefinedSpectralModel defined from:
• a frequency grid with step , stored in the object RegularGrid,
• a collection of hermitian ... | {} |
#### Volume 7, issue 3 (2007)
1 J H Conway, An enumeration of knots and links, and some of their algebraic properties, from: "Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967)", Pergamon (1970) 329 MR0258014 2 D De Wit, Automatic evaluation of the Links–Gould invariant for all prime knots of up t... | {} |
# 5. Point pattern analysis¶
## 5.1 Introduction¶
### Get the data¶
We are using a dataset of crimes in a city. You can download the data here: crime, city, census, or with the script below.
dir.create('data', showWarnings = FALSE)
files <- c('city.rds', 'crime.rds', 'census2000.rds')
for (filename in files) {
loca... | {} |
Smith and the JNEMA struggled to raise the funds, garnering only a third of the required total by June 1945. (2015). La Beaume-Terminal. From stargazing workshops and yoga under the Arch to concerts, cruises, and holiday celebrations, there’s always something new to learn and do at the Gateway Arch. The foundations den... | {} |
## Monday, June 21, 2010 ... /////
### Five faces of the God particle
One month ago, Fermilab's D0 Collaboration claimed the evidence for a new source of CP-violation in their comparison of muon-muon and antimuon-antimuon final states.
If the signal is real, supersymmetry is the most sensible explanation of this obs... | {} |
# INTRODUCTION
Osteoarthritis (OA) is the most common form of arthritis affecting 10-12% of the adult population and the 11th most debilitating disease worldwide accounting for over 17 million years lived with disability.1–3 It affects highly utilized joints in the body, more frequently in women.4,5 Commonly, OA manif... | {} |
# Limitations and Additional Considerations
Filter Content By
Version
Languages
## Limitations and Additional Considerations
We should note a few additional considerations for solving multi-scenario models.
Nearly any model can serve as the base model in a multi-scenario model. The base model can be continuous or d... | {} |
## Differential and Integral Equations
### Closure of smooth maps in $W^{1,p}(B^3;S^2)$
#### Abstract
For every $2 < p < 3$, we show that $u \in W^{1,p}(B^3;S^2)$ can be strongly approximated by maps in $C^\infty(\overline B \,\!^3;S^2)$ if, and only if, the distributional Jacobian of $u$ vanishes identically. This ... | {} |
# Software Installation Guide
Filter Content By
Version
Languages
## Software Installation Guide
Before using the Gurobi Optimizer, you'll need to install the software on your computer. This section covers the installation of the entire Gurobi product. If you plan to use Gurobi from Python only, you can use our pip ... | {} |
# xcopy Not Surpressing File/Directory Query
Hey folks, I'm attempting to use xcopy to copy over a file from one machine to another on our network as part of a Java program. I'm calling xcopy like this:
xcopy "C:\Program Files\path\to\my\file" "\\othermachine\c$\Documents and Settings\<myUserName>\Desktop\Test\path\i... | {} |
proof of Abel lemma (by expansion)
1 Abel lemma
$\sum_{i=0}^{n}a_{i}b_{i}=\sum_{i=0}^{n-1}A_{i}(b_{i}-b_{i+1})+A_{n}b_{n},$ (1)
where, $A_{i}=\sum_{k=0}^{i}a_{k}$. Sequences $\{a_{i}\}$, $\{b_{i}\}$, $i=0,\dots,n$, are real or complex one.
2 Proof
We consider the expansion of the sum
$\sum_{i=0}^{n}A_{i}(b_{i}-... | {} |
# From mice to determinacy
Last time we proved that mice M with $n<\omega$ Woodins knows about $\bf\Sigma^1_{n+1}$ sets A, meaning $A\cap M\in M$, using Woodin’s genericity iterations and the notion of mice understanding sets of reals. But what good is a projectively aware mouse? To give an example of the usefulness o... | {} |
poita.org
# DustMite - Code Minimizer
Yesterday I discovered DustMite, a source code minimizer tool for D.
What’s a source code minimizer? It’s a program that takes some source code, and automatically removes lines, or even whole files from the source while maintaining some invariant (e.g. it still builds, or still ... | {} |
What is the derivative of f(x)= x^(4/5) (x-5)^2?
May 6, 2018
$f ' \left(x\right) = \frac{14}{5} {x}^{\frac{9}{5}} - 18 {x}^{\frac{4}{5}} + 20 {x}^{- \frac{1}{5}}$
Explanation:
$\text{differentiate using the "color(blue)"power rule}$
•color(white)(x)d/dx(ax^n)=nax^(n-1)
$\text{expand and distribute}$
$f \left(x\r... | {} |
## Answer Sheet Options On Two Lines
On my answer sheet, I have the options printed in two columns to save room. Some of my questions, however, have more answers than will fit on a single line. They therefore wrap around to the next line. This causes two formatting issues that I'm not sure how to resolve:
1) I've use... | {} |
#### Start
2017-10-13 15:30 UTC
## 2017 Atlantic Canadian Preliminary Contest
#### End
2017-10-13 20:30 UTC
The end is near!
Contest is over.
Not yet started.
Contest is starting in -831 days 4:02:40
5:00:00
0:00:00
# Problem FRPN Calculator
Your goal is to write a postfix (“Reverse Polish Notation”) calculator... | {} |
# Creating a billiards simulator: the transition from equations to code
## Outline
In the first and second posts of this series, I discussed ad nauseam the physics and algorithmic theory behind pool simulation. With this all now behind me, it’s time to take this theory to the streets.
## The skeleton
This project s... | {} |
# Evolution of wave function
1. Feb 3, 2012
### dirac68
1. The problem statement, all variables and given/known data
Hi, i would to resolve this problem of quantum mechanics.
I have hamiltonian operator of a unidimensional system:
$\hat{H}={\hat{p}^2 \over 2 m}-F\hat{x}$
where m and F are costant; the state is d... | {} |
דלג לתוכן (מקש קיצור 's')
אירועים
# אירועים והרצאות בפקולטה למדעי המחשב ע"ש הנרי ומרילין טאוב
Colloq Seminar: New Algorithms for Ranking and Dimension Reduction
ניר אילון (גוגל)
יום שלישי, 30.12.2008, 14:30
חדר 337, בניין טאוב למדעי המחשב
New Algorithms for Ranking and Dimension Reduction The study of ranking crosses... | {} |
Outlook: AURA RENEWABLE ACQUISITIONS PLC is assigned short-term Ba1 & long-term Ba1 estimated rating.
Dominant Strategy : Sell
Time series to forecast n: 13 Jan 2023 for (n+6 month)
Methodology : Transfer Learning (ML)
## Abstract
AURA RENEWABLE ACQUISITIONS PLC prediction model is evaluated with Transfer Learning (M... | {} |
## Sunday, November 02, 2014
### The '''Human Phenome'''.Definition. In Relation to "The Human Genome".
A text-module defining the fundamental F.E.D. concept of '''The Human Phenome''', relative to the concept of "The Human Genome", has been cleared for posting to the www.dialectics.org Glossary Page.
I have also p... | {} |
# Can the Hamiltonian path problem be solved by dynamic programming in $O(2^n n)$ time?
Let G(V,E) be the graph and V = {$V_1$,$V_2$,....,$V_n$}. A dynamic programming approach solves the Hamiltonian path problem in $O(2^n n^3)$ time.
We can have a matrix : dp[s][i][j] : which computes for any subset (say s) of V whe... | {} |
## anonymous 3 years ago someone please help me!! Find the GCF of the monomials: 18x2, 30x2y, and 54y 18 6 18xy 6xy
1. anonymous
well it cant have an x or y because not all of them have x and y so now you just have to figure out the greatest number that goes into all 3 of the numbers
2. anonymous
i mean i just dont... | {} |
## Basic College Mathematics (10th Edition)
$\frac{1575}{x} = \frac{7}{100}$
The part is 1575. The percent is 7%. The whole is unknown. $\frac{1575}{x} = \frac{7}{100}$ | {} |
# Why are QM wave functions complex?
#### IAN 25
Hi,
Can anyone explain to me why the wave functions in QM must to be complex, other than to make it work when inserted into the Schrodinger equation?
Related Quantum Physics News on Phys.org
#### f95toli
Gold Member
Because the both the amplitude AND the phase of t... | {} |
# A* path reconstruction
## Recommended Posts
I implemented A* based on the wikipedia.org article. It states: "This path reconstruction from the stored closed nodes (see below) means it is not necessary to store the path-so-far within each node." But below that line there is no mention of how to reconstruct the path.... | {} |
# ECE 417 Lecture 14: K-Means and Expectation Maximization¶
## Mark Hasegawa-Johnson, October 12, 2017¶
This file is distributed under a CC-BY license. You may freely re-use or re-distribute the whole or any part. If you re-distribute a non-trivial portion of it, give me credit.
## Outline of Today's lecture¶
• Pre... | {} |
Astronomy Answers: From the Astronomical Dictionary
# Astronomy AnswersFrom the Astronomical Dictionary
$$\def\|{&}$$
The description of the word you requested from the astronomical dictionary is given below.
Rhea
A moon of 1529 km diameter at about 527,070 km from the planet Saturn. The gravity at its surface is ... | {} |
# Can the Work by Kinetic Friction on an Object Be Positive? Zero? - Physics
Short Note
Can the work by kinetic friction on an object be positive? Zero?
#### Solution
Yes. Let us consider a block A which is resting on another block B. Block B is resting on a smooth horizontal surface. Let the coefficient of frictio... | {} |
## Precalculus: Mathematics for Calculus, 7th Edition
Published by Brooks Cole
# Chapter 1 - Section 1.4 - Rational Expressions - 1.4 Exercises: 11
#### Answer
The domain is {$x|x\geq3$}
#### Work Step by Step
The number inside a radical cannot be negative. Therefore, solve when $x=0$ to find the domain range. $x... | {} |
# Beamer error message: Undefined control sequence \Geom@lmargin [closed]
I am running the following minimal example with beamer (windows 7, Miktex 2.9, all packages updated)
\documentclass{beamer}
\title{Fundamentals of Beamer}
\author{Author}
\institute{Department of Math, Main University}
\date{\today}
\begin{doc... | {} |
Lemma 32.8.14. Notation and assumptions as in Situation 32.8.1. If
1. $f$ is a monomorphism, and
2. $f_0$ is locally of finite type,
then $f_ i$ is a monomorphism for some $i \geq 0$.
Proof. Recall that a morphism of schemes $V \to W$ is a monomorphism if and only if the diagonal $V \to V \times _ W V$ is an isomor... | {} |
# Math Help - Expected Value
1. ## Expected Value
Hi,
Suppose E(U|X) = X^2. Suppose that E(X) = 0, Var(X) = 1 and E(X^3) = 0
What is the E(UX)?
Thanks alot for helping!
2. Hello,
$E[UX]=E[E[UX|X]]=E[XE[U|X]]=E[X^3]$
3. @ Moo - Thanks for your response.
I do understand your solution.
But I am not confortable w... | {} |
# zbMATH — the first resource for mathematics
The Lebesgue set of a function whose distribution derivatives are $$p$$-th power summable. (English) Zbl 0238.28015
##### MSC:
28A75 Length, area, volume, other geometric measure theory 26B15 Integration of real functions of several variables: length, area, volume 31B15 ... | {} |
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http://iet.metastore.ingenta.com
1887
## Channel models for an indoor power line communication system
• Author(s):
• DOI:
$16.00 (plus tax if applicable) ##### Buy Knowledge Pack 10 chapters for$120.00
(plus taxes if applicable)
IET members benefit from discounts to all IET... | {} |
# Character determines representation in characteristic zero
## Statement
Suppose is a finite group and is a field of characteristic zero. Then, the character of any finite-dimensional representation of over completely determines the representation, i.e., no two inequivalent finite-dimensional representations can... | {} |
# Intersection of the closures of the neighborhoods of a set is the closure of the set
Let $X$ be a topological space. Let $\{x\} \subset X$ and $N(x)$ be the neighborhood filter of $x$. Is $\cap_{n \in N(x)} \bar n = \overline {\{x\}}$?
It at least that $\overline {\{x\}} \subset \cap_{n \in N(x)} \bar n$, for if $n... | {} |
# Problem #1607
1607 Let $R$ be a square region and $n \geq 4$ an integer. A point $X$ in the interior of $R$ is called n-ray partitional if there are $n$ rays emanating from $X$ that divide $R$ into $n$ triangles of equal area. How many points are $100$-ray partitional but not $60$-ray partitional? $\textbf{(A)}\ 15... | {} |
# Ed's Big Plans
## Simple Interactive Phylogenetic Tree Sketches JS+SVG+XHTML
>>> Attached: ( parse_newick_xhtml.js | draw_phylogeny.js — implementation in JS | index.html — demo with IL-1 ) <<<
>>> Attached: ( auto_phylo_diagram.tgz — includes all above, a python script, a demo makefile and IL-1 data ) <<<
In this... | {} |
# compact support gaussian function
• August 21st 2012, 08:36 AM
jorjasso
compact support gaussian function
Hi, I am not mathematician. (I am computer science)
I need your help to construct a compact support gaussian function
It is ok for an interval [a, b]?
[tex]f(x) = \exp(-0.5\frac{(x-\mu)^2}{\sigma^2})[x/tex]
$f(... | {} |
# Folding in FCC metal single crystals under compression
Research output: Contribution to journalArticle
8 Citations (Scopus)
### Abstract
Results of the analysis of folding during compression deformation of metals with fcc lattice are presented. Single crystals with orientations at angles of the standard stereogra... | {} |
# Each exterior angle of a regular polygon measures 20. How many sides does the polygon have?
Then teach the underlying concepts
Don't copy without citing sources
preview
?
#### Explanation
Explain in detail...
#### Explanation:
I want someone to double check my answer
27
Dec 13, 2016
$18$ sides
#### Explanatio... | {} |
Decision matrix analysis is a simple way of selecting one of many options. This post exists to allow me to dump thoughts somewhere (so I don’t forget them) and share them with others easily. I will probably update this document as I have new ideas.
Brief Description
Simply put, a decision consists of objectives and a... | {} |
# What's the probability distribution of the difference between two consecutive sorted random numbers generated by a known distribution?
For example, first we generate $n$ random numbers based on an exponential distribution ($f(x)=\lambda e^{-\lambda x}$), then we sort these random numbers in ascending order which are... | {} |
# 3.2. Expressions¶
The right hand side of the assignment statement doesn’t have to be a value. It can be an arithmetic expression, like 2*2. The expression will be evaluated and the result from the expression will be stored in the variable.
## 3.2.1. Integer Division¶
You can use all the standard mathematical symbo... | {} |
Physics
# 12.3Second Law of Thermodynamics: Entropy
Physics12.3 Second Law of Thermodynamics: Entropy
### Section Learning Objectives
By the end of this section, you will be able to do the following:
• Describe entropy
• Describe the second law of thermodynamics
• Solve problems involving the second law of thermod... | {} |
# Math Help - Defining equation for golden ratio; quadratic fields
1. ## Defining equation for golden ratio; quadratic fields
Definition: If $\alpha$ is an irrational number in $\mathbf{Q}\left(\sqrt{d}\right)$, then the equation $ax^{2}+bx+c=0$ is called the defining equation for $\alpha$ if $\alpha$ satisfies the e... | {} |
# Why do we need the condition “cocommutative” in the definition of a coPoisson Hopf algebra?
In this paper, page 5, Section 3.6, in the definition of a coPoisson Hopf algebra $H$, it is said that: a coPoisson Hopf algebra is a cocommutative Hopf algebra $A$ with a map $\delta: A \to A \otimes A$ which satisfies some ... | {} |
5
# Question 22Let flx)-x2 -bx+2 Find coordinate of the minimum point; using derivative:(3,-71none of these answers(1,-7)...
## Question
###### Question 22Let flx)-x2 -bx+2 Find coordinate of the minimum point; using derivative:(3,-71none of these answers(1,-7)
Question 22 Let flx)-x2 -bx+2 Find coordinate of the m... | {} |
# 11th Class Mathematics Probability Notes - Mathematics Olympiads - Probability
Notes - Mathematics Olympiads - Probability
Category : 11th Class
Probability
• Probability: Actually, Probability is the mathematical modelling of chances or outcome of the events. In other, it is the branch of mathematics in which we... | {} |
# Local Coordinate Expressions for Lie Derivatives
I'm currently working through the math chapters of Norbert Straumann's book on General Relativity. I have trouble understanding the coordinate expression of the Lie derivative of a basis vector. The equation in the book reads:
$$L_X\partial_i = [X,\partial_i] = -X^j_... | {} |
# functions proof (is it right?)
• May 10th 2009, 01:42 PM
pberardi
functions proof (is it right?)
Prove that if
g: A -> B is 1-1
f: B -> C is 1-1
then fog: A -> C is 1-1
pf.
Need to show that if f(g(a)) = f(g(c)) then a = c for fog to be 1-1
Because g is 1-1, g(a) = g(b) and a = b
Because f is 1-1, f(b) = f(c) and ... | {} |
### The Negative Gradient Does Not Point Towards the Minimum
In this post, we will explain how Gradient Descent (GD) works and why it can converge very slowly. The simplest first-order optimization algorithm is Gradient Descent. It is used to minimize a convex differentiable function over $latex {{\mathbb R}^d}&fg=000... | {} |
7 Sep 13:48 2003
latexMP (was: using fonts with metapost)
On Fri, 7 Mar 2003 15:14:15 +0100
Jens-Uwe Morawski <morawski <at> gmx.net> wrote:
> On Fri, 07 Mar 2003 12:59:21 +0100
> Patrick Gundlach <pg <at> levana.de> wrote:
> > 3) the width of the labels (btex ... etex pictures) have a strange
> > width. I had no... | {} |
5,229 views
The following code segment is executed on a processor which allows only register operands in its instructions. Each instruction can have atmost two source operands and one destination operand. Assume that all variables are dead after this code segment.
c = a + b;
d = c * a;
e = c + a;
x = c * c;
if (x > a... | {} |
# 3.5 The michelson interferometer (Page 3/7)
Page 3 / 7
## Summary
• When the mirror in one arm of the interferometer moves a distance of $\lambda \text{/}2$ each fringe in the interference pattern moves to the position previously occupied by the adjacent fringe.
## Key equations
Constructive interference $\te... | {} |
# Evaluate a minimax tree
Alice and Bob are playing a little game. First, they draw a tree from a root node (indicated by a thick dot), with no internal nodes, with numbers at the leaves. Any node may have any number of children.
We start at the root, and first to play is Alice (A). She must select one of the current... | {} |
# Question about MWG 17.D.1
I tried to solve by myself the exercises of MWG(Mas Colell). However, I think the exercise has an error at 17.D.1.
The 17.D.1 asks us that "verify that there are multiple equilibria". However, The excess demand function $$Z_1(p,1)=\frac{p}{p+(\frac{p}{2})^\frac{1}{1-\rho}}+ \frac{1}{p+(2p)... | {} |
# 16 Subsetting
Subsetting involves making a dataset smaller by selecting a portion of the data that we are interested in.
We can take subsets of a dataset either by columns or by rows. For example, we might have a dataset with extra columns we do not care about, or we might want to look at rows where a certain condi... | {} |
## Introduction
Devastating neurological conditions such as stroke and amyotrophic lateral sclerosis can lead to anarthria, the loss of ability to communicate through speech1. Anarthric patients can have intact language skills and cognition, but paralysis may inhibit their ability to operate assistive devices, severel... | {} |
Haskell Functional Programming Bookstore
John Meacham has set up a print-on-demand bookstore for Haskell-related books at CafePress. There are only a few books there at the moment, but they tend to be things that are otherwise out of print, for instance Simon Peyton-Jones and David Lester's Implementing Functional Lan... | {} |
# Why does the PDF use a different variable than x?
In the below image (from Wikipedia but also found in my text book), I noticed that the variable within the integrand is a "u" rather than the "x" which is found in the CDF function. Why is the function being differentiated with respect to u rather than x? It is my un... | {} |
# What is the “fourth” Haar basis function of the 4×4 Haar basis?
I know the three Haar basis functions
//mother wavelet:
[1 1 -1 -1]
//dilation:
[1 -1 0 0]
//translation:
[0 0 1 -1]
However, the Haar basis consists of four basis elements: The mother wavelet, the translation, the dilation and another, fourth elemen... | {} |
10
May
Prof. Dr. Martin GUTKNECHT (ETHZ): From qd to LR and QR
Academic or specialist Colloquium / Congress / Forum
10.05.2011 17:15
Onsite
It is well known that Francis' QR algorithm for computing eigenvalues
emerged from Rutishauser's LR algorithm, but it is less obvious how
Rutishauser discovered the matrix inter... | {} |
# Automated form 40As
Recently, I had to produce form 40A's in order to claim military leave. As a computer scientist, I found the process to be horrific and felt compelled to share my solution. I didn't get much help with UTAPSWEB FOR IMAs CHEAT SHEET VERSION 101210. That document is filled with unhelpful and unprofe... | {} |
zbMATH — the first resource for mathematics
Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "straight quot... | {} |
A Key to Understanding Math
I’ve tutored in math, science, history and English; of these, I love math the most. One of my nephews recently needed help in working a “word problem” on his math homework. As we discussed the problem, it became apparent to me that he has been doing most of his math mechanically without tru... | {} |
# Oleg Firsov
Oleg Firsov, c.1940
Oleg Borisovich Firsov (Russian: Олег Борисович Фирсов, June 13 [OS May 31] 1915, Petrograd – April 2, 1998, Moscow) – was a Russian Soviet physicist-theorist known for his work on atomic interaction. He was awarded the Lenin Prize in 1972 for a series of work titled "Elementary proc... | {} |
# Fierz like identity for $\epsilon_{abc}\sigma^a_{ij}\sigma^b_{kl}\sigma^c_{pq}$
It is known that contracting over the vector indices of two Pauli matrices (the 3d γ-matrices) can be simplified to a bunch of δ functions. This is done via the Fierz formula $$\delta_{ab}\sigma^a_{ij}\sigma^b_{kl}=\delta_{ij}\delta_{kl}... | {} |
# A quadrilateralABCD with area2002 contains a point p insideABCD such that PA=24 PB=32 PC=28 PD=45find perimeter of ABCD
44 views
selected by
Let diagonals intersect at right angles. Then we have
with equality if lies on and respectively. Thus
Since we have the equality case, at point
By the Pythagorean Theo... | {} |
# Homework Help: Electrostatic problem (point charges)
1. Feb 7, 2010
### martinskibg
1. The problem statement, all variables and given/known data
2. Relevant equations
Electric field equation derived from Coloumb's Law (given on the screenshot above).
3. The attempt at a solution
Solution is given in the form o... | {} |
# Help Needed C Programming
#### Ralf
Joined Mar 16, 2009
31
i have a problem with this:
let say i type in 7 and it will display a 25
and the max i can type in is 10 and the display number max will be 29
how to i program with this condition using C language?
sorry if u all don't understand what i trying to ask.. p... | {} |
# Introducing the White’s Heteroskedasticity Consistent Estimator
An introduction to the HC estimator, and its importance in building effective regression models in the face of heteroskedasticity
In this chapter, we’ll bring together two fundamental topics in statistical modeling, namely the covariance matrix and het... | {} |
# Microeconomics questions (elasticity)
by danny-saf
Tags: elasticity, microeconomics
P: 2 When the price of popsicles rose from $10 to$11, consumer expenditures on them dropped by 10%, indicating that: A. Demand for popsicles had a price elasticity of -1 B. Demand for popsicles was price-elastic C. Popsicles are a n... | {} |
# Moment of inertia tensor about y-axis of a cylinder.
1. May 12, 2013
1. The problem statement, all variables and given/known data
What must the ratio of height to radius of a cylinder be so that every axis
is a principal axis (with the CM as the origin)?
2. Relevant equations
Moment of inertia tensor.
I need I_y... | {} |
## Developing the Traffic Related Air Pollution and the Burden of Childhood Asthma in the Contiguous United States in 2000 and 2010 Visualizations
Prerequisites
• Intermediate level R
• Basic level HTML
• Basic understanding of how FIPS code is structured
• Basic understanding of how shapefiles are structured
In thi... | {} |
# Help with a method please?
1. Feb 24, 2008
### Tom1
Hi,
I am trying to:
Show that y1(t)=t^2 and y2(t)=t^2+1
for the differential equation:
dy/dt=-y^2+y+2t^2y+2t-t^2-t^4
This is clearly a non-linear, non-seperable equation, and I cannot see how to try the method of exact equations on it. Therefore, I am stuck.
... | {} |
# Window functions and indexes larger than N/2
How does the n index for a window with $0 \le |n| \le N/2$ e.g the Bohman window function, get implemented when having a specific window size?
if (n >= 0 && n <= N/2)
what happens with the passed in index e.g. 1000 of a 1024 window size ?
The window is defined as $-N/... | {} |
Math Help - Mathematica Newbie Help Please
Hello everyone, I am currently making the switch over from MathCad to Mathematica...wow the learning curve is rather steep!
Question:
I am trying to set up a calc to determine different dof's in a simple beam.
If I have in mathematica:
is=range[0,nsupports-1] - this is my... | {} |
## The role of titanium surface nanotopography on preosteoblast morphology, adhesion and migration
Please always quote using this URN: urn:nbn:de:0297-zib-63053
• Surface structuring of titanium-based implants with appropriate nanotopographies can significantly modulate their impact on the biological behavior of cells... | {} |
## Featured resource
Home > Webshop > Entire catalogue > Check the Clues bundle – Any three books
# Check the Clues bundle – Any three books
Check the Clues bundle – Any three books
Save $by ordering 3 books and reduced shipping Yes pre F - 12 2017 Paul Swan, David Dunstan A-Z Type Price$ 79.00
No
Cooperative gro... | {} |
Posted on Categories:Non-Euclidean Geometry, 数学代写, 非欧几何
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For our next exam... | {} |
# Why must the particles of an ideal gas be point-like?
Why is a gas of elastically colliding hard balls of finite size not ideal?
Respectively:
Why is it essential that the particles of an ideal gas are point-like?
Especially:
Which differing thermodynamic properties of a gas of not point-like particles are most ... | {} |
## Section4Antidifferentiation
### Subsection4.1A Few More Features
This subsection demonstrates a few more features.
The derivative and antiderivative of a function can be understood through study of their graphical relationships.
###### Definition4.1Antiderivative of a Function
Suppose that $f(x)$ and $F(x)$ ar... | {} |
# Solar constant and Energy received by the Earth
If we consider the sun to be a perfect blackbody, then the intensity of the solar radiation at a distance of $$1\space AU$$ is roughly equal to around $$1360 \space Wm^{-2}$$. This is the flux density of solar radiation and is known as the solar constant.
However, I w... | {} |
# Proving $M_n(I)\lhd M_n(R)$ and proofs about ideal rings.
I'm trying to do a few proofs about rings: $(1)$ I want to show that for a ring $R$ and the ring of matrices $M_n(R)$, if $I\lhd R\implies M_n(I)\lhd M_n(R)$ and that all ideals of $M_n(R)$ are of the form $M_n(I)$. $(2)$ Prove that if $R$ is a ring with divi... | {} |
# Solid Mechanics Tests
## Static Tests
### Bolt Stress Analysis
Note
Location of verification case:
verification/solid_mechanics/static/bolt
This case is not included in the unit tests, because there is no comparison value available.
The linear deformations and the stresses of a bolt under external mechanica... | {} |
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