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# Elementary Proof of Nakayama's Lemma?
Nakayama's Lemma is as follows: Let $A$ be a ring, and $\frak{a}$ an ideal such that $\frak{a}$ is contained in every maximal ideal. Let $M$ be a finitely generated $A$-module. Then if $\frak{a}$$M=M, we have that M = 0. Most proofs of this result that I've seen in books use som... | {} |
Differentiate the following functions:
Question:
Differentiate the following functions:
(i) $4 \cot x-\frac{1}{2} \cos x+\frac{2}{\cos x}-\frac{3}{\sin x}+\frac{6 \cot x}{\operatorname{cosec} x}+9$
(ii) $-5 \tan x+4 \tan x \cos x-3 \cot x \sec x+2 \sec x-13$
Solution:
Formulae: –
$\frac{d}{d x} \cot x=-\operatorn... | {} |
$$\require{cancel}$$
# 2: Foundations
• 2.1: Causality
Our intuitive belief in cause-and-effect mechanisms is not sup- ported in any clear cut way by the laws of physics as currently understood. For example, we feel that the past affects the future but not the other way around, but this feeling doesn’t seem to transl... | {} |
# Lie Brackets of Nilpotent Lie Algebras
Suppose I have the Heisenberg group H say over the $p$-adic integers $\mathbb{Z}_p$, which is the set of $3\times 3$ uni-upper-trianglar matrices over $\mathbb{Z}_p$ . Its Lie algebra $h$ is the set of all $3\times 3$ strictly-upper-trianglar matrices over $\mathbb{Z}_p$.
The ... | {} |
# How to draw the derivative on the graph?
Apr 21, 2018
The value for $x$ for which $y = f \left(x\right)$ has a stationary point is the value of $x$ at which $f ' \left(x\right) = 0$.
#### Explanation:
The tangent at a point on the Graph of $f \left(x\right)$ gives the value of Derivative at that point.
But here ... | {} |
### Andy Bohn
Cornell physics graduate student, studying merging black holes, board games, and barrel strength whiskey.
Email
# Gravitational lensing
First things first… High res movies!
An interesting prediction of general relativity is that light does not just travel in a straight line, but its path is bent by g... | {} |
# Efficient evaluation of the inverse of a triangular matrix on a vector
I have this matrix that interests me. It arises when we try to express the norm of a $(p,p)$-form on an $n$-dimensional vector space in terms of (squares of) traces of the form with respect to the Lefschetz operator on the space. It's coefficient... | {} |
# Data for speed of gravitional wave
By the distance of the two LIGO detectors and the time delay for the same gravitational wave(GW) event, the speed of GW can be determined. guys, do you know where can I find related data?
Before answering, please see our policy on resource recommendation questions. Please write su... | {} |
# The Hardest GCSE Maths Question
22-05-2022
Bare in mind, this question was asked to 16 year olds in the UK during their final maths exam.
## Solution
\begin{aligned} \text{Let N the intercection of circles A and B at the top} \\ AB = 4 \\ \text{Equilateral Triangle ABN - side length 4, internal angles all 60°}\\ ... | {} |
# Comparing SN2 reaction rate for phenacyl chloride and methyl chloride
KI in acetone undergoes $$\mathrm{S_N2}$$ reaction with (1) and (2). Compare the rates of the reactions.
Like many kinds of these questions there are many factors involved. One is the steric effect, and, since steric effects plays a central role ... | {} |
8 (499) 391-32-03, 8 (499) 394-07-16
125363, г. Москва, ул. Новопоселковая,
д. 6, кор. 217, офис 606
ooouptp@ooouptp.com
ООО «ЮЖНОЕ ПРОИЗВОДСТВЕННО-ТЕХНИЧЕСКОЕ ПРЕДПРИЯТИЕ»
# Athan Pro _BEST_ Full Version 18
Athan Pro Full Version 18
Muezzin Khan on the East African coast or the Moroccan Athan.. 5/23/2019 : Univ... | {} |
# A generalized elastic net regularization with smoothed $$\ell _{q}$$ ℓ q penalty for sparse vector recovery
## Author
Listed:
• Yong Zhang
() (Shanghai University
Jiangsu University of Science and Technology)
• Wanzhou Ye
() (Shanghai University)
• Jianjun Zhang
() (Shanghai University)
## Corrections
All ma... | {} |
# Distance between compact subsets
1. Nov 7, 2012
### Ocifer
1. The problem statement, all variables and given/known data
Let A,B be two disjoint, non-empty, compact subsets of a metric space (X,d).
Show that there exists some r>0 such that d(a,b) > r for all a in A, b in B.
Hint provided was: Assume the opposite,... | {} |
# Question
A study was aimed at assessing the effects of group size and group characteristics on the generation of advertising concepts. To assess the influence of group size, groups of four and eight members were compared. For a random sample of four-member groups, the mean number of advertising concepts generated pe... | {} |
# All Questions
69 views
### Initializing PGP keys by one side
I am using a PGP method to encrypt and decrypt messages shared between users A and B. Upon the start of a message exchange is the initialization of the public and secret keys by both Users. Lets say ... | {} |
# Category Archives: Dilogarithm
## Special values of the dilgoarithm function
Prove that $$\mathrm{Li}_2\left( \frac{\sqrt{5}-1}{2} \right) = \frac{\pi^2}{10} – \log^2 \left( \frac{\sqrt{5}-1}{2}\right)$$ $$\textit{proof}$$ Use the following functional equation $$\mathrm{Li}_2 \left( \frac{z}{z-1} \right) + \frac{1}... | {} |
# Help for double parametrized integration: algebraic vs Mathematica solutions
I have to solve a double integral with parametrized functions, that is (written as a latex equation) $$\int_{-\infty}^\infty \int_0^\infty u(t)u(t-\Delta)\frac{1+e^{-2\int_{t-\tau-\Delta}^{t-\tau} y(s)^2 ds }}{2} d\Delta dt$$ that depends u... | {} |
ompl::base::StateValidityChecker Class Referenceabstract
Abstract definition for a class checking the validity of states. The implementation of this class must be thread safe. More...
#include <ompl/base/StateValidityChecker.h>
Inheritance diagram for ompl::base::StateValidityChecker:
Public Member Functions
State... | {} |
mscroggs.co.uk
mscroggs.co.uk
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# Puzzles
## 25 December
It's nearly Christmas and something terrible has happened: while out on a test flight, Santa's sled was damaged and Santa, Rudolph and Blitzen fell to the ground over the Advent Isles. You need to find Santa and his reindeer before Christmas is ruined... | {} |
## Dynamics of third-order rational difference equations with open problems and conjectures.(English)Zbl 1129.39002
Advances in Discrete Mathematics and Applications 5. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-765-2/hbk). 554 p. (2008).
This book is about the global character of solutions of the third-orde... | {} |
# 3D Object Recognition with Ensemble Learning --- A Study of Point Cloud-Based Deep Learning Models
,
arXiv.org Artificial Intelligence
In this study, we present an analysis of model-based ensemble learning for 3D point-cloud object classification and detection. An ensemble of multiple model instances is known to o... | {} |
## Keeping Your Pet’s Microchip Information Up-To-Date is Essential
If you want to be proactive about saving your pet’s life, regular veterinary visits, pet insurance and keeping a cat indoors only are certainly high on the list. But the most powerful tool of all could be about the size of a grain of rice: a microchip... | {} |
$$\require{cancel}$$
# 2.6: The 20th century revolution in physics
The two greatest achievements of modern physics occurred in the beginning of the 20th century. The first was Einstein’s development of the Theory of Relativity; the Special Theory of Relativity in 1905 and the General Theory of Relativity in 1915. Thi... | {} |
Article | Open | Published:
# Serial dependence is absent at the time of perception but increases in visual working memory
## Abstract
Recent experiments have shown that visual cognition blends current input with that from the recent past to guide ongoing decision making. This serial dependence appears to exploit th... | {} |
KL-divergence between two products
Given factorizations of two joint densities $p(x_1,...,x_n)=\prod_{i=1}^n p(x_i\mid \textrm{cond}(x_i))$ and $q(x_1,...,x_n)=\prod_{i=1}^n q(x_i\mid \textrm{cond}(x_i))$, where $\textrm{cond}(\bullet)$ denotes the set of conditioning variables, does the KL-divergence decompose, i.e.,... | {} |
# spynnaker.pyNN.models.neuron.structural_plasticity.synaptogenesis.formation package¶
## Module contents¶
class spynnaker.pyNN.models.neuron.structural_plasticity.synaptogenesis.formation.AbstractFormation[source]
Bases: object
A formation rule
get_parameter_names()[source]
Return the names of the parameters sup... | {} |
Show that $\int^{\infty}_{0}\left(\frac{\sin(x)}{x}\right)^2 < 2$
I`m trying to show that this integral is converges and $<2$ $$\int^{\infty}_{0}\left(\frac{\sin(x)}{x}\right)^2dx < 2$$ What I did is to show this expression:
$$\int^{1}_{0}\left(\frac{\sin(x)}{x}\right)^2dx + \int^{\infty}_{1}\left(\frac{\sin(x)}{x}\ri... | {} |
# Thread: Standard form & Graphing
1. ## Standard form & Graphing
Good morning forum I need some assistance with the following question:
Put the equation x2 + y2 + 8x + 2y = 29 into standard form and sketch the graph of the equation.
Thanks AC
2. Originally Posted by AlgebraicallyChallenged
Good morning forum I ne... | {} |
## How to Calculate and Solve for Impossibility | Probability
The image above represents impossibility.
To compute for impossibility, one essential parameter is needed and this parameter is Total Number of All Possible Outcomes (N).
The formula for calculating impossibility:
P(A) = x N
Where;
P(A) = Imposssibilit... | {} |
# The width of a rectangular playground is 2x-5 feet, and the length is 3x + 9 feet. How do you write a polynomial P(x) that represents the perimeter and then evaluate this perimeter and then evaluate this perimeter polynomial if x is 4 feet?
$P \left(x\right) = 2 \left(\left(2 x - 5\right) + \left(3 x + 9\right)\righ... | {} |
### Home > CCAA8 > Chapter cca9 > Lesson cca9.2.2 > Problem9-62
9-62.
Find the equation of the line with slope $-\frac{3}{5}$ passing through the point $(−6,2)$. Homework Help ✎
Use the equation $y=mx+b$, where slope $=m$, to find the equation of the line. Solve for $b$.
$\textit{y}=-\frac{3}{5}\textit{x}-\frac{8}{... | {} |
## 14.1.5 Defining Boundary Conditions for Species
You will need to specify the inlet mass fraction for each species in your simulation. In addition, for pressure outlets you will set species mass fractions to be used in case of backflow at the exit. At walls, FLUENT will apply a zero-gradient (zero-flux) boundary con... | {} |
Genius Lyrics – Annotations
Question
how can I go about creating a system similar to genius.com on wordpress for song lyrics. Where you can annonate single lines from a multiline input? Thanks
0
3 days 0 Answers 13 views
How to use jQuery(…).material_chip inside WordPress?
Question
Although I have imported materiali... | {} |
# How to control the alignment of the brace in a dcases environment
The following code
$$\begin{dcases} u = \frac{\sqrt{2}}{2}(i+j)\\ v = k \end{dcases}$$
results in the following display
that I find particularly disgraceful. Is there a way to lower the brace to make it look more like this
?
-
You can "smash" th... | {} |
# User talk:Grrrlriot/Archive 1
Hi Grrrlriot. I see you're looking for adoption. I'm an experienced user (been around since February of this year, and have more than 4,500 edits), and I'd be happy to adopt you, if you're interested. I have a pretty solid understanding of most elements of Wikipedia, but I'm still not m... | {} |
# Quark Matter 2019 - the XXVIIIth International Conference on Ultra-relativistic Nucleus-Nucleus Collisions
3-9 November 2019
Wanda Reign Wuhan Hotel
Asia/Shanghai timezone
## Comparison of Chemical freeze-out parameters in p+p, p+Pb, Xe+Xe and Pb+Pb collisions at LHC energies
4 Nov 2019, 17:40
20m
Wanda Han Show T... | {} |
# NAG CL InterfaceX02 (Machine)Machine Constants
## 1Scope of the Chapter
This chapter is concerned with parameters which characterise certain aspects of the computing environment in which the NAG Library is implemented. They relate primarily to floating-point arithmetic, but also to integer arithmetic, the elementar... | {} |
# Horspool Algorithm
Let's checkout Horspool's algorithm for pattern matching in strings. Say we have a pattern P of length m and also say that we know the alphabet.
When you are asked to compare two strings, you probably just use operator== and if that is forbidden, often we just tend to use a sliding window to comp... | {} |
# 12 Using R
This book is designed to be used with R. It is free, available on almost every operating system, and there are thousands of add-on packages to do almost anything you could ever want to do. We recommend you use R with RStudio.
## Installing R and RStudio
3. Run RStudio. On the "Packages" tab, click on "I... | {} |
# In text listing style - how to use? Any downsides?
I'm currently considering to use a in line (in text) listing style, such as:
'Some things are quite good. (i) Thing A can do this and that, which is awesome because of this and that. (ii) Thing B can do, ... . (iv) Some people also say that this and that, therefore... | {} |
# How to I know how many nested functions have been called?
I have two functions, and the 1st calls the 2nd:
f[x_]:=Block[{},x^2]
g[y_]:=Block[{},Sin[f[y]]]
I would like to know, in each function how deep I am in the calling stack. If I execute g[1.2], the depth in g is going to be 1, and the depth in f is going to... | {} |
# Can the Sobolev norm of order 1/2 detect “jumps”?
We are given a function $f: \mathbb R^d \to \mathbb R$. For simplicity we can assume that $f$ is smooth and compactly supported. Is the Sobolev norm of order $\frac{1}{2}$ strong enough to prove an inequality like this $$|f(a)-f(b)| \leq \| f \|_{H^{\frac 1 2}}$$ or ... | {} |
# Isocurvature perturbations
Thanks to CMB anisotropy measurements (especially from the WMAP and Planck satellites), we now know that primordial fluctuations are predominantly adiabatic. That is to say that photons, neutrinos, baryons, and dark matter had fluctuations in energy density that were more or less spatiall... | {} |
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## G = D4×C26order 208 = 24·13
### Direct product of C26 and D4
direct product, metabelian, nilpotent (class 2), monomial, 2-elementary
Aliases: D4×C26, C23⋊C26, C524C22, C26.11C23, C4⋊(C2×C26), (C2×C4)⋊2C26, (C2×C52)⋊6C2, C22⋊(C2×C26), (C22×C26)⋊1C2, (C2×C26)⋊2C22, C2.1(C22×C26), SmallGroup(208... | {} |
## Natural Log Exponent Rule
### Exponentiation - Wikipedia.
The following identities, often called exponent rules, hold for all integer exponents, provided that the base is non-zero: + = = = Unlike addition and multiplication, exponentiation is not commutative.For example, 2 3 = 8 != 3 2 = 9.Also unlike addition and... | {} |
How to Build Rotation Matrix From Orientation Vectors
Here is a vector in 3-d space:
$V=\begin{bmatrix}x\\y\\z\end{bmatrix}$
We can express this vector with three linearly-independent vectors and coefficients:
$V=\begin{bmatrix}1\\0\\0\end{bmatrix}x+\begin{bmatrix}0\\1\\0\end{bmatrix}y+\begin{bmatrix}0\\0\\1\end{bmat... | {} |
Find the value of determinant $\begin{vmatrix}1&x&y+z\\1&y&z+x\\1&z&x+y\end{vmatrix}$
$(a)\;0\qquad(b)\;x+y+z\qquad(c)\;1+x+y+z\qquad(d)\;(x-y)(y-z)(z-x)$
$\begin{vmatrix}1&x&y+z\\1&y&z+x\\1&z&x+y\end{vmatrix}$
Apply
$C_3\rightarrow C_3+C_2$
$\begin{vmatrix}1&x&y+z+x\\1&y&z+x+y\\1&z&x+y+z\end{vmatrix}$
Taking out (x+... | {} |
# Solve this
Question:
If in a $\Delta \mathrm{ABC}, \angle \mathrm{C}=90^{0}$, then prove that $\sin (\mathrm{A}-\mathrm{B})=\frac{\left(\mathrm{a}^{2}-\mathrm{b}^{2}\right)}{\left(\mathrm{a}^{2}+\mathrm{b}^{2}\right)}$
Solution:
Given: $\angle C=90^{\circ}$
Need to prove: $\sin (A-B)=\frac{\left(a^{2}-b^{2}\righ... | {} |
## anonymous one year ago Determine whether y varies with x, if so, find the constant variation of k and write the equation.
1. Nnesha
what is the equation for direct variation ?
2. anonymous
X Y 4 6.4 7 11.2 10 16 13 20.8
3. anonymous
@Nnesha
4. anonymous
it increases by 1.8 each time..
5. Nnesha
y =kx equat... | {} |
# How do you factor the trinomial 6x^2 +8x+ 2?
Jun 19, 2016
You can factor $6 {x}^{2} + 8 x + 2$ as $6 \left(x + 1\right) \left(3 x + 1\right)$
#### Explanation:
To factor a trinomial, you simply have to look for its roots. There are three possible cases:
1. The trinomial has no solutions. Then, it is not possible... | {} |
Infoscience
Conference paper
# Equivalence of synthesis and atomic formulations of sparse recovery
Recovery of sparse signals from linear, dimensionality reducing measurements broadly fall under two well-known formulations, named the synthesis and the analysis a ́ la Elad et al. Recently, Chandrasekaran et al. intro... | {} |
# Each questions below consists of a word in capital letters followed by four words or group of words. Select the word or group of words that is most similar in meaning to the words in capital letters$GLEAN$
[ A ] To groom [ B ] To gatherbit by bit [ C ] To discover [ D ] To polish
Answer : Option B Expl... | {} |
# A conjecture about the roots of real functions
1. Nov 4, 2005
### eljose
All the roots of a real function f(x) are real unless.
1.K(x) is a Polynomial of degree k
2.f(x)=exp(g(x)) where g(x) is different from ln of something
3.f(z) with z=u+iv is invariant under the transformation of v=-v with f(u+iv)=F(u-iv)..
4.... | {} |
# JAM 2022 [ 41 -50]
Consider a sequence of independent Bernoulli trials, where 3/4 is the probability of success in each trial. Let X be a random variable defined as follows: If the first trial is a success, then X counts the number of failures before the next success. If the first trial is a failure, then X counts t... | {} |
1:43 AM
@DavidCarlisle Did you win?
Googled "duck cart", wasn't disappointed. :)
2:05 AM
@PauloCereda Still having a hard time thinking any of this is funny. (Sorry).
3:01 AM
We officially have a Rickroll question! And it's on topic. I promise. You know you want to click.
4 hours later…
7:02 AM
Off-topic, I think:
0... | {} |
## Precalculus (6th Edition)
center at $(-\frac{7}{2}, -\frac{3}{2})$ radius = $\frac{5\sqrt2}{2}$ units
RECALL: (1) The center-radius form of a circle's equation is $(x-h)^2+(y-k)^2=r^2$ where $(h, k)$ is the center and $r$ = radius (2) To complete the square for $x^2+b^2$, add $(\frac{b}{2})^2$. The factored form of... | {} |
# Surface differential vector problem
I have faced some problem in computing surface integral of some vectors in spherical polar coordinate system I have studied that in genaral infinitesimal surface differential vector has three component along $r$, $θ$ and $\phi$ cap direction
$$ds=r^2\sinθ\mathrm dθ\mathrm d\phi r'... | {} |
Implicit Differentiation - Vertical and Horizontal Tangents A line that is tangent to the curve is called a tangent line. This is really where strong algebra skills come in handy, although for this example problem all you need to recognize what happens if you put a “2” into th… Sophia’s self-paced online courses are a ... | {} |
# Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that (AO)/(OC) = (OB)/(OD) - Mathematics
Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two tria... | {} |
Enter the total container volume (ft^3) and the total air compressor flow rate (CFM) into the Air Compressor Fill Time Calculator. The calculator will evaluate the Air Compressor Fill Time.
## Air Compressor Fill Time Formula
The following two example problems outline the steps and information needed to calculate the... | {} |
# Homework Help: Limits, geometric series, cauchy, proof HELP
1. Dec 13, 2011
### chrisduluk
i guys, I'm stuck on wording of a homework assignment and thought you might be able to help me. There are several questions...
Consider the geometric series: (Sum from k=0 to infinity) of ar^k
and consider the repeating dec... | {} |
MATLAB MEX Function Reference
Fixed-interval Smoothing (kalcvs.m)
Fixed-interval smoothing is concerned with the smoothing of a finite set of data, i.e., with obtaining for fixed T and all t in the interval t = 1, ... , T.
Syntax
[sm, vsm] = kalcvs(data, a, F, b, H, var, pred, vpred)
[sm, vsm] = kalcvs(data, a, F, b... | {} |
Theory Manual Version 3.4
$\newcommand{\lyxlock}{}$
Subsection 5.2.10: Large Poisson's Ratio Ligament Up Section 5.2: Compressible Materials Subsection 5.2.12: Cell Growth
### 5.2.11 Porous Neo-Hookean Material
Consider a porous neo-Hookean material with referential porosity . The pores are compressible but the skele... | {} |
Lesson plan
# Lesson 11: Equations of All Kinds of Lines
teaches Common Core State Standards 8.EE.B http://www.corestandards.org/the-standards
teaches Common Core State Standards MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards 8.EE.B.6 http://corestandards.org/Math/Content/8/EE/B/6
... | {} |
## Algebra 1: Common Core (15th Edition)
$\frac{22}{8}$ miles $2\frac{6}{8}$ miles
For the first 1/8 mile, the taxi will cost 1.75. After that, each 1/8 mile will cost .30. Take the total of 7.75 and subtract 1.75. This amount is for the first 1/8 mile. Then take the remaining cost of 6.00 and divide that by the cost ... | {} |
# Article
Title: On oscillatory linear differential equations of third order (English) Author: Parhi, N. Author: Padhi, Seshadev Language: English Journal: Archivum Mathematicum ISSN: 0044-8753 (print) ISSN: 1212-5059 (online) Volume: 37 Issue: 1 Year: 2001 Pages: 33-38 Summary lang: English . Category: math . Summar... | {} |
# keynesian multiplier formula
According to Keynes, if we can find ways to stimulate consumption and other forms of spending, we will solve the problem. Keynes gave his formula almost the status of a definition (it is put forward in advance of any explanation). Fiscal Policy refers to the budgetary policy of the gover... | {} |
## Electronic Journal of Probability
### A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs
#### Abstract
We present a theory of hypoellipticity and unique ergodicity for semilinear parabolic stochastic PDEs with "polynomial" nonlinearities and additive noise, considered as abstract evo... | {} |
# Solving Laplace Eqn by Separation of vbls
Okay, I'm stumped at what seems like a very simple mathematical step
Then, the next step is
I see what changed, but I don't understand exactly what happened. Can someone please explain? Thanks in advance!
Born2bwire
$$\frac{\partial}{\partial x} \left(f(x)g(x)\right) = g(... | {} |
# Beryllium carbide formation [duplicate]
Why does beryllium form carbide of formula $\ce{Be2C}$ and not $\ce{BeC2}$ as the other elements of its group? I am not able to understand the change in formula of beryllium carbide.
Briefly, it's a matter of cationic radii values and crystal packing at given $p, T$. Without ... | {} |
# Error on grouping level [closed]
I'm trying to create a graph from a big file with pgfplots. This is the code I use:
\begin{figure}
\makebox[\textwidth][c]{
\subfloat[]
{
\tikzsetnextfilename{SJ_RK_1e4_1e10_(circular)_Energy-S}
\begin{tikzpicture}
\begin{axis}[title={Deux corps}, xlabel={$t$ (\si{\second})}, ylabel... | {} |
# Items tagged with latexlatex Tagged Items Feed
### How to make underline shorter?...
December 03 2015
0 2
Hello,
How to make the length of underline shorter in latex ?
For example in this environment :
$\underline{\mathcal{G}}$
Thank you,
Gérard.
### How to change underline in LaTeX?...
December 02 2015
0 2... | {} |
# Derangements with repetitive numbers
Hi to all i have a very simple problem
Lets assume that i have a well shuffled deck of 52 cards.
I start drawing the top card always and when the card matches it's rank i lose. J=11 Q=12 K=13
If there were only 13 cards i could easily use the $\ \frac{!n}{n!}$ for derangements... | {} |
## Financial System Efficiency – Can we predict the stock market?
Posted in Research and Projects with tags , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , on April 14, 2009 by Brit Cruise
How Efficient Is The Financial System?
Background
In 1948 Claude Shannon wrote a paper entitled ‘The Mathem... | {} |
# Planet Musings
## January 18, 2017
### Georg von Hippel — If you speak German ...
... you might find this video amusing.
## January 17, 2017
### Doug Natelson — What is the difference between science and engineering?
In my colleague Rebecca Richards-Kortum's great talk at Rice's CUWiP meeting this past weekend,... | {} |
# The ROC curve
## Intro
ROC stands for receiver operating characteristic and is a curve first designed and used at the times of World War I for radar signals purposes. It is a curve used to validate the performance of a binary classifier which depends on a threshold parameter when it varies.
The ROC plots the true p... | {} |
## Results (41 matches)
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim $\epsilon$ $r$ First zero Origin
4-585e2-1.1-c1e2-0-0 $2.16$ $21.8$ $4$ $3^{4} \cdot 5^{2} \cdot 13^{2}$ 1.1 $$1.0, 1.0 1 1 0 0.477001 Elliptic curve 2.2.65.1-81.1-a Hilbert modular form 2.2.65.1-81.1-a Modular form 585.2.h.a 4-585e2-1.1-c1... | {} |
# 周期点
## 迭代函数
$\displaystyle{ f: X \to X, }$
$\displaystyle{ X }$中的点$\displaystyle{ x }$称为周期点，如果存在一个$\displaystyle{ n }$使
$\displaystyle{ \ f_n(x) = x }$
### 示例
$\displaystyle{ x_{t+1}=rx_t(1-x_t), \qquad 0 \leq x_t \leq 1, \qquad 0 \leq r \leq 4 }$
For r between 0 and 1, 0 is the sole periodic point, with perio... | {} |
# zbMATH — the first resource for mathematics
Efficiency and robustness control via distorted maximum likelihood estimation. (English) Zbl 0603.62039
In the present paper distorted maximum likelihood estimators (M.L.E.’s), denoted by $$T^{\alpha}$$, with a distortion parameter $$\alpha\geq 0$$ are introduced so that $... | {} |
# Thermal Conductivity Paper Database
## Recommended Papers for: Rare Earth Oxides
Total Papers Found: 1
#### Effective thermal conductivity and thermal diffusivity of some rare earth oxides
The thermal conductivity and thermal diffusivity of rare earth oxide powders were measured using the transient plane source t... | {} |
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Let $G$ be a $k$-regular bipartite graph, and let $G$ contain a bridge. Prove that $k=1$.
Let $G$ be a $k$-regular bipartite graph, and let $G$ contain a bridge. Prove that $k=1$.
I have tried to remove the bridge and find a contradiction that an component should not be bipartite, but I failed.
• Hint: consider edge... | {} |
# Trouble in understanding why function is constant in a given domain
Definition The group of unitary operators $$u(\theta)$$ on $$L^2(\mathbb R^3)$$ given by $$(u(\theta)\Phi)(r) =\Phi(\theta) \equiv e^{\frac{3\theta}{2}}\Phi(e^\theta r)$$ is called the group of dilation operators on $$\mathbb R^3.$$
Let $$H$$ be a ... | {} |
# DEPRECATED Understanding the process for solving linear equations
### Problem
Create a list of steps, in order, that will solve the following equation.
space, 9, left parenthesis, x, plus, 4, right parenthesis, equals, 54
space, space, space, space, space, space, space, space, space, space, space Solution steps: | {} |
## The union of a chain of monomial ideals is a monomial ideal
Let $F$ be a field, let $R = F[x_1, \ldots, x_m]$, and let $K$ be a linearly ordered set. Let $\mathcal{M} = \{M_k\}_{k \in K}$ be a family of monomial ideals in $R$ such that if $i \leq j$ then $M_i \subseteq M_j$. Prove that $\bigcup_K M_k$ is a monomial... | {} |
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Rotate vector in spherical coordinates
I have two arbitrary vectors $\vec{x}$ and $\vec{x}'$ given in spherical coordinates $(|\vec{x}|=x,\theta,\phi)$ (as convention I take the "physics notation" given on Wikipedia http://en.wikipedia.org/...
957 views
Shape of a string/chain/cable/rope/wire... | {} |
# How to prevent page breaks from appearing at the point where a sub-itemized list begin in ConTeXt?
I have a lengthy document containing lots of itemized lists, in two levels. It is like this, but often much longer:
\startitemize[r]
\item This is a statement.
\startitemize[n]
\item This is an example.
\item This is ... | {} |
# Tag Info
17
The best solution is to escape the underscore with the backslash. Using a backslash forces the following character to be used literally rather than as part of Markdown formatting: \_\_\_\_\_\_ ______ You could also use code formatting (with backticks), which is always literal, but that also adds a grey ... | {} |
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• Good evening everyone!
I was wondering if there is something equivalent of GL_NV_blend_equation_advanced for AMD?
Basically I'm trying to find more compatible version of it.
Thank you!
• Hello guys,
How do I know? Why does wavefront not show for me?
I already checked I h... | {} |
# Groups Acting on Trees Spring 2021
Lecturer
Benjamin Brück
Coordinator
Francesco Fournier-Facio
## Content
As a main theme, we will see how an action of a group on a tree enables us to break the group into smaller pieces, and thus gain better understanding of its structure.
### Goal of the course
Learn basics of... | {} |
Sunday
May 19, 2013
# Homework Help: Computers: Computer Science
Recent Homework Questions About Computer Science
science
2 liters of water at 80.c is found into a plastic bucket containing 10 liters of water at 20.c what is the final temperature of water ( density of water 1kg/litre) (neglect the heat gained by buc... | {} |
## Introduction
Many surveys of diabetes do not include a question about the type, so researchers rely on age of diagnosis as a way to distinguish between type 1 and type 2 diabetes (e.g. Koopman et al. (2005)). Here we try to find out whether this proxy is likely to work well.
## Data
NHANES is a series large healt... | {} |
Null vector help!
1. Jan 4, 2007
quantum123
I read this in the notes:
Show that any vector that is orthogonal to a null vector must be either be:-
i) parallel to a null vector
ii) space-like
How??
2. Jan 4, 2007
robphy
Should this be in the howework section?
What's your starting point? What does it mean for two... | {} |
Derive Spearman correlation (rather than Pearson's) coefficient from a univariate regression?
In univariate regression, the standardized coefficient is equal to the Pearson correlation coefficient. When the two variables are ranked variables, Spearman correlation would be appropriate. Is it possible to derive Spearman... | {} |
# Learning Rate based on error of the network
I am not an expert and do not have theoretical justification for that, but it seems to me that the smaller network error is, the smaller learning rate should be.
Is there an algorithm to dynamically update learning rate based on total error of the network without relying ... | {} |
Address 28 Ellendale Ave, Selkirk, NY 12158 (518) 542-3664 http://www.delmar-computers.com
family error Hannacroix, New York
Journal of Modern Applied Statistical Methods. 14 (1): 12–23. The Bonferroni procedure Main article: Bonferroni correction Denote by p i {\displaystyle p_{i}} the p-value for testing H i {\di... | {} |
Yingce Xia et al. explored a series of applications of Dual Learning [1,2,3] on various tasks namely machine translation, image processing and sentiment analysis. I am interested in Dual Leanring on machine translation task.
## Dual Form
Two tasks are in dual form if the input and output of one task are exactly the o... | {} |
# 银河会在太空中移动吗？
57
5
2
8
“穿越空间”不是一回事。空间没有位置。运动总是相对于其他事物的，例如另一个星系，宇宙微波背景或其他。您已经收到有关相对运动的一些答案，请参见下文。
Florin Andrei
3
PlasmaHH
15
73
“从CMB数据可以看出，本地组（包括银河系的星系组）相对于CMB的参考帧（也称为CMB静止帧）似乎以627±22 km / s的速度运动，或在CMB方向上没有运动的参考系），即银河经度l = 276°±3°，b = 30°±3°。[82] [83]这种运动导致各向异性数据（CMB在移动方向上显得比在相反方向上略热）。[84]“
627 km / s相当快。看到这... | {} |
# Integers $d$ for which the Negative Pell equation is soluble for both $d$ and $2d$?
Let $\text{NPE}_d$ denote the negative Pell equation: $$x^2-dy^2=-1$$ Where $d$ is a given positive nonsquare integer and integer solutions are sought for x and y.
we know that (in this paper):
Theorem : The equation $\text{NPE}_d$... | {} |
# find tension in 3 ropes
703 views
A huge Halloween decoration is suspended by 3 cables. Each cable is exactly 25 m long and is attached top each of three building equidistant from each other. Each cable make an angle of 30 degrees with the side of the building to which it is attached. What is the magnitude of the te... | {} |
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