arxiv_id stringlengths 0 16 | text stringlengths 10 1.65M |
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# Ring with Z as its group of units?
Is there a ring with $\mathbb{Z}$ as its group of units?
More generally, does anyone know of a sufficient condition for a group to be the group of units for some ring?
-
$k[X,1/X]$ where $k$ is the 2-element field. – Noam D. Elkies Sep 12 '11 at 3:53
A necessary condition is of ... | |
# How do you simplify sqrt(75x²y)?
Mar 18, 2018
5xsqrt(3y
#### Explanation:
1.The first thing you can do is to square ${x}^{2}$. This is easy, you just take away the number 2 and then place x in front of the squareroot. Like this: xsqrt(75y
2. You have to find another way to write 75. You can write 75 like $3 \cdot... | |
# Magic of Math #3
Algebra Level 1
If $k$ is a positive integer such that there exist a number $A$ such that $k = A+A = A\times A = A^A$, find the value of $\dfrac Ak$.
× | |
# Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
Could someone help with the following integration: $$\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$$
So far I have done the following, but I am stuck:
I denoted $y=-\cos x$ then: \begin{align*}&\int^{1}_{-1} \frac{\arccos(-y) \sin x}{1+y^2}\frac{\mathrm dy}{\sin x}\\&=... | |
# The Foundation of the Generalised Theory of Relativity
Jump to: navigation, search
The Foundation of the Generalised Theory of Relativity
By A. Einstein.
The theory which is sketched in the following pages forms the most wide-going generalization conceivable of what is at present known as "the theory of Relativity... | |
##### Get a free home demo of LearnNext
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Sep 11, 2014
#### Define communalism. What role does it... | |
# Math Help - Vectors forming a basis,spanning
1. ## Vectors forming a basis,spanning
Do the following vectors form a basis of $R^3$, span $R^3$, or neither?
a1 = (1, 2, 1), a2 = (-1, 0, -1), a3 = (0, 0, 1)
Do I just check to see if they're linearly independent?
2. Do I just check to see if they're linearly indepe... | |
# Basics on Dirichlet Series 08/2008, Oliver Knill
The finite sum is a discrete version of a definite integral, the discrete version of the derivative. A discrete version of the partial integration formula
with is:
Lemma 1 (Abel's summation formula)
Proof. The statement is true for . Induction with respect to allow... | |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Due to system maintenance, CK-12 will be unavailable on Friday,8/19/2016 from 6:00p.m to 10:00p.m. PT.
20.3: The pH Concept
Difficulty Level: At Grade Created by: CK-12
Lesson Objective... | |
# Talk:Bounded set (topological vector space)
WikiProject Mathematics (Rated Start-class, Mid-importance)
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you c... | |
# O KINETICS AND EQUILIBRIUM Calculating equilibrium composition from an equilibrium const... Suppose a 250 ml flask...
###### Question:
O KINETICS AND EQUILIBRIUM Calculating equilibrium composition from an equilibrium const... Suppose a 250 ml flask is filled with 0.30 mol of NO, 1.7 mol of CO and 1.4 mol of NO. Th... | |
# An absolute convergence criterion in $\Bbb C$
Here's a problem I'm having trouble with:
Show that if $\sum u_k$ converges for $u_k\in\Bbb C$, and $|\arg(u_k)|\leq c<\pi/2$ for all $k$, then $\sum |u_k|$ converges too.
All I have after looking at it for an hour is that I kind of believe it could be true (I didn't a... | |
## November 10, 2008
### The NYT identifies Jamie Gorelick as potentially Obama's pick for Attorney General.
And provides this profile. Under the heading "Baggage":
Her work at Fannie Mae, which had to be bailed out by the government in September as part of a $200 billion deal. Ms. Gorelick left the company just as i... | |
# Homework Help: Simple derivative question
1. Dec 4, 2007
### projection
hi. i need some help with a derivative question. i can get the answer and all but it takes a long time to do it.
i need to find the instantaneous rate of change expression (derivative), and i MUST use the first principle.
1/(25x+4)^4
i can ... | |
# Maximum principle of harmonic function without mean value formula
Are there any way to prove maximum principle of harmonic functions without the mean value formula? In other words I would like to show $$\max_{\overline{\Omega}}(f)=\max_{\partial \Omega}(f)$$ for a harmonic function $f$ on a bounded domain $\Omega$ w... | |
Homework Help: Number of electron states in 1Bz
1. Sep 20, 2007
malawi_glenn
1. The problem statement, all variables and given/known data
How many electron states are there in the irreducable part of 1BZ (one irreducable part is 1/48 of 1BZ).
2. Relevant equations
Volume of 1Bz:
$$\Omega = \dfrac{(2 \pi)^3}{V}$$
... | |
lilypond-user
[Top][All Lists]
## Re: making staves full of rests disappear in a full score
From: Xavier Scheuer Subject: Re: making staves full of rests disappear in a full score Date: Tue, 28 Dec 2010 15:53:36 +0100
```On 28 December 2010 15:46, Frauke Jurgensen <address@hidden> wrote:
>
> Hello all!
>
> I have a... | |
## Cheat Sheet: Algorithms for Supervised and Unsupervised Learning
Cheat Sheet: Algorithms for Supervised and Unsupervised Learning
A nice “cheat sheet,” more of a summary of key information on algorithms for supervised and unsupervised learning. | |
# Better handling of indentation and the TAB key when editing posts
This user script changes the behavior of a few keys (most notably the Tab key) within the post editor to behave more like it does in IDEs or text editors:
• When multiple lines are selected, Tab and Shift-Tab indent and dedent these lines
• When not... | |
# projectile help
• November 11th 2008, 09:48 AM
khuezy
projectile help
Hi, a projectile is fired with an initial speed of 500 m/s and angle of elevation 30 degrees.
Find the range of the projectile, the max height, and speed at impact
Thanks.
• November 11th 2008, 11:56 AM
Arch_Stanton
Firstly, we need to compute th... | |
# [thelist] Is http://here.localhost/ possible ?
darren darren at web-bitch.co.uk
Wed Jun 26 16:12:01 CDT 2002
On Wednesday, June 26, 2002 at 19:28, Craig wrote:
C> Thanks for all your responses so quickly!
C> Unfortunately IIS5.1 under XP Pro only allows one website so I can't point
C> the different hostnames to d... | |
# Why only angular momentum is conserved and not Kinetic Energy in the given problem
1. Oct 8, 2012
### Tanya Sharma
1. The problem statement, all variables and given/known data
A cockroach with mass m rides on a disk of mass 6.00m and radius R .The disk rotates like a merry go round around its central axis at angu... | |
OpenKattis
Kattis Set 05
#### Start
2020-02-10 04:15 AKST
## Kattis Set 05
#### End
2020-02-17 00:30 AKST
The end is near!
Contest is over.
Not yet started.
Contest is starting in -289 days 23:51:58
164:15:00
0:00:00
# Problem AShort Sell
Simone is learning to trade crypto currencies. Right now, she is looking... | |
# Mertens function limits using $\phi+2$n
As we can see in the plot below, Mertens function: $M(x)\equiv \sum_{n=1}^{x}\mu(n)$ has wild swings from positive to negative and back again.
When we use: $$x=\frac{1}{2+\frac{1}{\phi+2}}\text{, where }\phi \text{ is the golden ratio,}$$ as the power for each $n$ we get the ... | |
Algebra
# Distributive Property - Multiple Terms
If $(x+5)(3x + 8) = Ax^2 + Bx + C$, what is the sum of $A$, $B$, and $C$?
What is the coefficient of $y$ in the expansion of the expression $(4x-y+4)(x+2y-1) ?$
Simplify $\left( 9xy - 6y^2 + 15y \right) \div 3y.$
If $a=-3$ and $b=2$, evaluate $\left(a^2 - 3ab \right... | |
## Main Question or Discussion Point
I am a beginner in thermodynamics. I was going through a educational board's chapter on thermodynamics. I want to know if they are accurate and other comments if any. The statements are as below. Also we come across state variables in applications of current laws too. So what is sp... | |
# Best practice for checking if lookup matches element without toText()?
Hi, I keep running into situations where I need to determine which of a series of values another look-up column has selected. For example:
``````SwitchIf(
thisRow.Frequency.toText()="One-time", ...,
thisRow.Frequency.toText()="Monthly", ...,
thi... | |
# What is SSDT? Part 3 – an API for me, an API for you, an API for everyone!
Ed Elliott, 2016-01-07
In the final part of this 3 part series on what SSDT actually is I am going to talk about the documented API. What I mean by documented is that Microsoft have published the specification to it so that it is available t... | |
# Partial fraction decomposition¶
The partial fraction decomposition of a univariate rational function:
$f(x) = \frac{p(x)}{q(x)}$
where $$p$$ and $$q$$ are co-prime and $$\deg(p) < \deg(q)$$, is an expression of the form:
$\sum_{i=1}^k \sum_{j=1}^{n_i} \frac{a_{ij}(x)}{q_i^j(x)}$
where $$q_i$$ for $$i=1 \ldots k$... | |
## Journal of Symbolic Logic
### Saturating Ultrafilters on N
#### Abstract
We discuss saturating ultrafilters on $\mathbf{N}$, relating them to other types of nonprincipal ultrafilter. (a) There is an $(\omega,\mathfrak{c})$-saturating ultrafilter on $\mathbf{N} \operatorname{iff} 2^\lambda \leq \mathfrak{c}$ for e... | |
×
# Is this correct?
$\sqrt[\infty]{n} =1$ where $$n$$ belongs to Natural numbers .
6 months, 1 week ago
Sort by:
\begin{align} \sqrt[\infty]{n}&=\lim_{k \to \infty} n^{\frac{1}{k}}\\ &=n^{\lim_{k \to \infty} \frac{1}{k} } \\ &=n^0\\&=1 \quad \forall n \in \mathbb{N} \end{align} · 6 months, 1 week ago
Exactly !!!... | |
Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!
# When the principal quantum number is $n=4,$ how many different values of $(a) \ell$ and $(b) m_{\ell}$ are possible?
## a) 4b) 7
Atomic Physics
Nuclear Physics
### Discussion
You must be signed in to discuss.
##### Chr... | |
# For the composite geometric shapes given the semi circle has the same area measure as the right angle triangle, and the base of right triangle is congruent to the radius of the semicircle. Calculate the value of angle theta?
$\theta = {57.52}^{o}$
As area of triangle is $\frac{\pi {r}^{2}}{2}$ (it is equal to semi-c... | |
# Math Help - Infinite Series Help
1. Hello All,
I'm trying to figure out if I'm doing this problem correctly.
I've rewritten the top as the cubed root of 1 and am using the root test. Am I on the right track?
Also,
My answer is 1 / (n^2 + 1) and that converges.
2. Originally Posted by maxreality
Hello All,
I'm ... | |
Courses
# Ratio and Proportion - Important Formulas, Quantitative Aptitude Quant Notes | EduRev
## Banking Exams : Ratio and Proportion - Important Formulas, Quantitative Aptitude Quant Notes | EduRev
The document Ratio and Proportion - Important Formulas, Quantitative Aptitude Quant Notes | EduRev is a part of the ... | |
# Quark Matter 2018
13-19 May 2018
Venice, Italy
Europe/Zurich timezone
The organisers warmly thank all participants for such a lively QM2018! See you in China in 2019!
## Studies of $\Lambda_{\rm c}^{+}\to p \rm K^{0}_{\rm S}$ in p-Pb collisions with the ALICE experiment at the LHC
15 May 2018, 17:00
2h 40m
First f... | |
New Titles | FAQ | Keep Informed | Review Cart | Contact Us Quick Search (Advanced Search ) Browse by Subject General Interest Logic & Foundations Number Theory Algebra & Algebraic Geometry Discrete Math & Combinatorics Analysis Differential Equations Geometry & Topology Probability & Statistics Applications Ma... | |
Solution:
If the XOR sum of all numbers is 0. Then it must can make it. Because if and only if $a[1]\oplus a[2]\oplus...\oplus a[n-1]=a[n]$, the XOR sum is 0. So we can make the array as: $(a[n], a[n])$.
So the problem is what if the XOR sum is not 0.
Let's say $a[1]\oplus a[2]\oplus...\oplus a[n-1]\oplus a[n]=x$. I... | |
• M M LATHA
Articles written in Pramana – Journal of Physics
• Influence of quadrupole–quadrupole-type interaction on the chaotic dynamics of $\alpha$-helical proteins
By proposing a model Hamiltonian in the first quantised form we investigate the chaotic dynamics of $\alpha$-helical proteins by taking into account ... | |
How to obtain tail bounds for a linear combination of dependent and bounded random variables?
I am looking for tail bounds (preferably exponential) for a linear combination of dependent and bounded random variables.
consider $$K_{ij}=\sum_{r=1}^N\sum_{c=1}^N W_{ir}C_{rc}W_{jc}$$ where $i \neq j$, $W\in \{+1, -1\}$ an... | |
# Toronto Math Forum
## MAT334-2018F => MAT334--Tests => Quiz-6 => Topic started by: Victor Ivrii on November 17, 2018, 04:08:42 PM
Title: Q6 TUT 0201
Post by: Victor Ivrii on November 17, 2018, 04:08:42 PM
Find the Laurent series for the given function $f(z)$ about the indicated point. Also, give the residue of the ... | |
# Integrate the function$\int\frac{x^3}{\sqrt{1-x^8}}$
$\begin{array}{1 1} \large \frac{1}{4} \sin^{-1}(x^4)+c \\ \large \frac{1}{4} \cos^{-1}(x^4)+c \\ \large \frac{1}{4} \sin(x^4)+c \\ \large \frac{1}{4} \cos (x^4)+c\end{array}$
Toolbox:
• (i) If in a function $\int f(x)dx,\;let\;f(x)=t,\;then\;f'(x)=dt,\;then \;\i... | |
# Learn Programming Language from Diving into Source Code
## 1 Master Core Functions
If you're a beginner on learning Programming Language, mastering some core and frequently used functions is really helpful. This can let you write better code.
This thought is comes from book <Clojure Standard Library: An annotated ... | |
# The square of a positive number is 56 more than the number itself. What is the number?
Jan 9, 2017
The number is $8$
#### Explanation:
We need to take this one phrase at a time to develop our equation.
First, the square of a positive number can be written as:
${x}^{2}$
In mathematics the word "is"means "=" so ... | |
# soliton
A soliton is a non-linear object which moves through space without dispersion at constant speed. They occur naturally as solutions to the Korteweg - de Vries equation. They were first observed by John Scott Russell in the 19th century and then by Martin Kruskal and Norman Zabusky (who coined the term soliton... | |
11 HL Induction
Complete the following questions for our next class.
Exercise 9B.1 questions 2b and 3b
Here is a template you can use for proof by induction. (Note that the template is set up for a proof that involves a claim concerning all natural numbers. If the claim concerns, for example, all positive integers, ... | |
# n-gram, entropy and entropy rate
n-gram models find use in many areas of computer science, but are often only explained in the context of natural language processing (NLP). In this post, I will show the relation to information theory by explicitly calculating the entropy and entropy rate of unigrams, bigrams and gen... | |
# Documentation
Lean.PrettyPrinter.Delaborator.TopDownAnalyze
The top-down analyzer is an optional preprocessor to the delaborator that aims to determine the minimal annotations necessary to ensure that the delaborated expression can be re-elaborated correctly. Currently, the top-down analyzer is neither sound nor co... | |
5 Answered Questions for the topic self
05/20/20
#### Write an example of Pygmalion effect from personal experience.
I'm from 2nd semester. The example should be a bit detailed and real. Thankyou.
05/19/20
#### Write an example of Pygmalion effect from personal experience
Social PsychologySelf
05/11/19
05/03/19... | |
Java
Which version of Java must I use?
Any version of Java 8 to Java 11 should be fine, provided you don’t use any exotic features. Our autograder uses OpenJDK 11.
Which Java programming environment should I use?
We recommend our customized IntelliJ programming environment for Mac OS X, Windows, and Linux. If you follo... | |
# Regularity of infinite concatenation
It is well-known that an infinite union of regular languages is not necessarily regular, since every language can be written as a union of singletons. What about infinite concatenations?
Let $$\{ L_z : z \in \mathbb{Z} \}$$ be a family of languages, cofinitely many of which cont... | |
# What is the practical benefit of a function being injective? surjective?
I have learned that an injective function is one such that no two elements of the domain map to the same value in the codomain.
Example: The function $x \mapsto x^2$ is injective when the domain is positive numbers but is not injective when th... | |
# Will a ZEBRA battery retain its charge when cooled down?
A ZEBRA battery needs a minimum temperature to operate. That is because only then the ions move freely enough.
The electro-chemical reaction is as follows:
$$NiCl_2 + 2Na \longrightarrow Ni + 2NaCl + e$$
So what if I would cool a charged battery down to roo... | |
# Why can't I write down tilde? Is there any MathJax syntax?
In an answer, I wanted to write ∼, but that wasn’t showing. I think it wasn’t showing for Markdown.
So I thought I should use \tilde, but it came on top of the next letter. How can I write down tilde in MathJax?
∼ is a small space, while \tilde{} is an orn... | |
# AES-128 as compression function in Merkle-Damgard construction
Using a compression function $$f : A × A → A$$. A basic version given by:
$$W_0 = IV$$
$$W_1 = f(W_0, m_1)$$
$$W_2 = f(W_1, m_2)$$
...
$$W_n = f(W_{n-1}, m_n)$$
$$W_n$$ is the output of the hash function, $$m_1,m_2 . . . m_n$$ is the message and $$IV$$... | |
#### Volume 16, issue 2 (2012)
1 J M Bloom, T Mrowka, P Ozsváth, The Künneth principle in Floer homology, in preparation 2 S Boyer, D Lines, Conway potential functions for links in $\mathbf{Q}$–homology $3$–spheres, Proc. Edinburgh Math. Soc. 35 (1992) 53 MR1150952 3 J C Cha, C Livingston, KnotInfo: Table of knot inv... | |
# Population models of Sources
## Ground-based detectors sources
• Black Hole Binary Mergers
• The merger rate density is expressed as: $$\dot{n}(z, m_1,m_2,\chi)=\mathcal{R}(z)f(m_1)\pi(q)P(\chi)/m_1,$$ where $f(m_1)$ is the mass function of the primary black hole, $\pi(q)$ and $P(\chi)$ are the probability distribu... | |
Register FAQ Search Today's Posts Mark Forums Read
2021-11-05, 22:17 #2355
techn1ciaN
Oct 2021
U.S. / Maine
2048 Posts
Quote:
Originally Posted by techn1ciaN If you check out exponents for PRP-CF on the manual assignment page (or re-load any of your automatically fetched PRP-CF work from the replacement lines in... | |
Last edited by Kenos
Tuesday, November 24, 2020 | History
2 edition of Polarization studies in D-P elastic scattering using a polarized proton target. found in the catalog.
Polarization studies in D-P elastic scattering using a polarized proton target.
Richard Lawrence Maughan
# Polarization studies in D-P elastic ... | |
# Finding the unique weak solution of Non-linear boundary problem
We are given the equation \begin{cases} -\Delta u=0&x\in \Omega\\ \partial_\nu u+\beta(u)=0&x\in\partial\Omega \end{cases} where $\Omega$ is bounded bounded smooth boundary and $0<a\leq \beta'(z)\leq b<\infty$ where $\beta$: $R\to R$.
The question ask ... | |
Accelerating the pace of engineering and science
# Robust Control Toolbox
## Getting Reliable Estimates of Robustness Margins
This example shows how to modify the uncertainty description to avoid discontinuities and get reliable estimates of the margin of uncertainty.
Computing the smallest perturbation that causes... | |
# Higgs couplings in the MSSM at large tan β
Beneke, M; Ruiz-Femenía, P; Spinrath, M (2009). Higgs couplings in the MSSM at large tan β. Journal of High Energy Physics, (1):031.
## Abstract
We consider tan β-enhanced quantum effects in the minimal supersymmetric standard model (MSSM) including those from the Higgs s... | |
#### You are here: Articles >Reference & Education > Mathematics
travelappsios lifestyleappsios utilitiesappsios
06 October 06:18 To acquisition the Everyman Accepted Assorted (LCM) of several numbers, we first accurate anniversary amount as a artefact of its prime factors.
For example, if we ambition to acquisitio... | |
Graph homomorphism
Graph homomorphism
In the mathematical field of graph theory a graph homomorphism is a mapping between two graphs that respects their structure. More concretely it maps adjacent vertices to adjacent vertices.
Definitions
A graph homomorphism f from a graph G = (V,E) to a graph G' = (V',E'), wri... | |
Introduction
Downy mildew (DM) is a destructive disease caused by obligate parasitic oomycetes from the Peronosporaceae family1. It has been a serious challenge for a wide range of cultivated crops including row crops, vegetables, fruits, and ornamental plants. DM is globally distributed and has high adaptability to n... | |
# Equivalence Relations and Equivalence Classes
We will define the relation ~ on $\mathbb N \times \mathbb N$ by $(a,b)\sim (c,d)$ iff $a + d = b + c$.
Prove that the operation given by: $[(a,b)][(c,d)] \stackrel{\text{def}}= [(ac + bd, ad + bc)]$ is well-defined.
My attempt at this proof:
Let $(a,b)$ and $(a',b')$... | |
# How to Parse a Geographic Position
You can extend the rules that Henry uses to detect a geographic position (latitude and longitude) when importing plain text (using Edit | "Paste into new Overlay", File | "Create Overlays from a Text File...", or the Henry Overlay Tool).
This is an advanced option. You should make... | |
# cirq.LineQid¶
class cirq.LineQid(x: int, dimension: int)[source]
A qid on a 1d lattice with nearest-neighbor connectivity.
LineQids have a single attribute, and integer coordinate ‘x’, which
identifies the qids location on the line. LineQids are ordered by
this integer.
One can construct new LineQids by adding or... | |
# Tag Info
11
Take a path property that is not first-order expressible, e.g. $$\nu x.p\wedge\Diamond\Diamond x$$ which says that there exists a path where the atomic proposition $p$ holds at every even position, and any valuation can be used on odd positions.
6
If the formula is satisfiable you cannot construct an ... | |
# Separated varieties and uniqueness of extension
I would like to know if my solution to the following exercise is correct. If not, then I will be grateful for a correct argument. (I am working with varieties over an algebraically closed field, not schemes)
Exercise: Suppose that $f,g:X \to Y$ are two morphisms, wher... | |
# [NTG-context] picture before \chapter breaking \header \footer setup
Thu Oct 23 15:40:22 CEST 2008
On Thu, 23 Oct 2008, Jelle Huisman wrote:
> Hi all,
>
> Another question, this time about \headers and \footers. On the first
> page of the chapter I have the page number in the footer and on all
> other pages they a... | |
Biswajit Banerjee
### Material and spatial incremental constitutive equations
An answer to a common question on objectivity
#### The question
A colleague asked a question on objectivity a few days ago that had me going back to Ray Ogden’s book on nonlinear elastic deformations. The question was on incremental stres... | |
Page d'accueil du laboratoire > Équipe de Probabilités > Page principale > MetaFont
# MetaFoundry
## Licence: standard LaTeX licence
The following fonts have the standard LaTeX licence. The former send-me-a-postcard licence was not understood and there is a too few people who are really interested in MetaFont design... | |
# Tomcat HotDeploy from ZK-GUI
IngoB
256 6
Hi,
I want an "Update Feature" in my GUI. So I thought to upload a WAR-File via ZK Fileupload and then replace the "old" WAR File on-the-fly in the Tomcat Webapps directory to deploy it (and restart the server).
The upload is working, but the copying of the file to the web... | |
The Permuted Striped Block Model and its Factorization – Algorithms with Recovery Guarantees
We introduce a novel class of matrices which are defined by the factorization Y :=AX, where A is an m × n wide sparse binary matrix with a fixed number d nonzeros per column and X is an n × N sparse real matrix whose columns h... | |
# ODE problem: 3x^2 y dx + (x^3 + 2y)dy = 0
I have two ODE with which I cannot to slove;
3x2ydx+(x3+2y)dy=0
I tried to change of variable y=v*x, but I still cannot find a way to solve it.
the second is:
(exsin(y)-2ysin(x))dx+(excos(y)+2cos(x))dx=0
here I have no idea
thank you
B
## Answers and Replies
quasar98... | |
People who code: we want your input. Take the Survey
# Tag Info
37
Sage is an open source computer algebra system. Let's see if it can handle your basic example: sage: sqrt(3) * (4/sqrt(3) - sqrt(3)) 1 What is happening under the hood? Sage is storing everything as a symbolic expression, which it is able to manipula... | |
10,16,2021
Lossless CNN Channel Pruning via Gradient Resetting and Convolutional Re-parameterization2020-07-07 ${\displaystyle \cong }$ Channel pruning (a.k.a. filter pruning) aims to slim down a convolutional neural network (CNN) by reducing the width (i.e., numbers of output channels) of convolutional layers. How... | |
# Question on definition of Dirichlet to Neumann operator
Assume $$\Omega$$ is an open, bounded subset of $$\mathbb R^3$$ with a $$C^2-$$ boundary $$\partial \Omega= \Gamma$$. For $$f \in H^{1/2}(\Gamma)$$, let $$F \in H^1(\Omega)$$ denote the weak solution of the Dirichlet problem:
$$\begin{cases} \Delta F=0 & \text... | |
# Uniform convergence of infinite series
Suppose $f$ is a holomorphic function (not necessarily bounded) on $\mathbb{D}$ such that $f(0) = 0$. Prove the the infinite series $\sum_{n=1}^\infty f(z^n)$ converges uniformly on compact subsets of $\mathbb{D}$.
I met this problem on today's qual. Here is what I have so far... | |
# vector and interators problem
This topic is 4414 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
Hello, Im trying to solve a problem in my text Accelerated C++ (chapter 5 ex 6) but having no luck. Can anyone help out. (Sorry but the book has... | |
# $\tan{(30^°)}$ value
The exact value of tan function if angle of right triangle is $30$ degrees is called tan of $30$ degrees. It’s written as $\tan{(30^°)}$ in mathematical form according to Sexagesimal system.
$\tan{(30^°)} \,=\, \dfrac{1}{\sqrt{3}}$
The exact value of tan of angle $30$ degrees is $\dfrac{1}{\sq... | |
Lugaru's Epsilon
Programmer's
Editor 14.04
Previous Up Next Epsilon Command Line Flags Getting Started General Concepts
### File Inventory
Epsilon consists of the following files:
epsilon.exe
The Epsilon for Windows executable program.
epsilonc.exe
The Epsilon executable program for Windows Console mode.
eel.exe
... | |
# Western Australia Studentized Range Distribution Table Pdf
## The Distribution of the Ratio in a Single Normal Sample
### Harter Tables of Range and Studentized Range
Studentized Range Distribution Table Guide Peng Zeng. A Table of Upper Quantile Points of the Studentized Range Distribution This is a table of uppe... | |
Journal ArticleDOI
# Determination of the π-charge distribution of the DMe-DCNQI molecule in (DMe-DCNQI)2M, M=Li, Ag, and Cu
12 Apr 2006-Journal of Low Temperature Physics (Kluwer Academic Publishers-Plenum Publishers)-Vol. 142, Iss: 3, pp 633-637
AbstractSolid state high-resolution NMR of 1H and 13C along with 15N ... | |
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ID Date Author Type Category Subject
10977 Wed Feb 4 21:05:24 2015 manasaUpdateGeneralRF amplifier for ALS
The components of the RF amplifier box are in place. The RF amplifier box ... | |
# General restriction for covariance matrix in multivariate normal distribution
Suppose we look at the following model
$$\vec y_i=\vec\mu_i + \vec\epsilon_i, \qquad \vec\epsilon_i\sim N(\vec0, \Sigma)$$
where $\vec y_i$s is observed, $\vec\mu_i$s are known, and $\vec\epsilon_i$s are unknown and iid. Following
Pinhe... | |
Semi-direct product isomorphic to direct product
I would like some help on the following problem from anyone who would like to help.
Let $f: H \to G$ be a group homomorphism. For $h \in H$, define $\rho(h) = \phi_{f(h)} \in Aut(G)$.
The situation being as described, prove that the semi-direct product $G\rtimes_{\rho... | |
+ 1
# Angle measurement actually starts from a vertical 270deg?
I think the angle measurement described here (as well as w3schools) is confusing/wrong. To determine the angle parameter you should measure starting from a vertical vector pointing down at 270deg counter-clockwise to the gradient angle you want. See http... | |
OpenGL My OGL Render Class
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Here we go! Its the birth of a render class, very incredibly simple, only sends a quad to the renderer and then, renders it. Renderer.h
#include <vector... | |
# TTP02-26 The Impact of $\sigma(e^+e^-\to \mbox{hadrons})$ Measurements at Intermediate Energies on the Parameters of the Standard Model
TTP02-26 The Impact of $\sigma(e^+e^-\to \mbox{hadrons})$ Measurements at Intermediate Energies on the Parameters of the Standard Model
TTP02-26 The Impact of $\sigma(e^+e^-\to \mb... | |
# How are you supposed to get the East/West variation on this question in the FAA PPL written exam?
While taking a practice test, I needed to calculate the magnetic heading between two airports. Most of the time I run into a problem, the map will provide me with isogonic lines with the East/West variation visible. But... | |
# How many ways are there to place the ball in N different bags under given condition? [duplicate]
Possible Duplicate:
In how many ways we can put $r$ distinct objects into $n$ baskets?
I have a doubt in following Combinatorics question : There are N bags, and there several balls of 4 colors (R,G,B,Y).Each bag should... | |
# How do you write 28/19 in simplest from?
Nov 16, 2016
$\frac{28}{19}$ is in the simplest form.
#### Explanation:
$\frac{28}{19}$ is in its simplest form
19 is a prime number and is not a factor of 28.
$\frac{28}{19}$ can be written as a mixed number as $1 \frac{9}{19}$
However, this is not really in a simpler ... | |
# Electric Flux through a hemisphere
1. Aug 30, 2007
### xaer04
1. The problem statement, all variables and given/known data
"What is the flux through the hemispherical open surface of radius R? The uniform field has magnitude E. Hint: Don't use a messy integral!"
$$\mid \vec{E} \mid= E$$
radius = $R$
2. Relevant ... | |
# Homework Help: Simple harmonic motion of a body question
1. Jun 30, 2007
### srj200
1. The problem statement, all variables and given/known data
A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation
A=Ai * sin(wt+ (pi/3)) ,
Where w = pi radian... | |
Home » 2011 » June » 17
# Daily Archives: June 17, 2011
## Learn Integral Calculus from Scratch
“Where can I learn integration fundamentals”
Just find below one of the best choice for you.
http://www.intmath.com/integration/integration-intro.php
Visit http://www.intmath.com/ for learning the fundamentals of Mathe... | |
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# Downsampling
Member Posts: 50
edited July 2012
Dear all,
I would like to ask you about some inconsistencies (maybe!)... | |
Varying Force
1. Mar 15, 2015
brycenrg
1. The problem statement, all variables and given/known data
A 230kg crate hangs from the end of a 12.0 m rope. You push horizontally on the crate with a varying force F to move it 4.00m to the side.
What is the magnitude of F when the crate in the final position?
During the ... | |
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# Law of Reciprocal Proportion
## Introduction to Law of Reciprocal Proportion
Last updated date: 28th Mar 2023
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German chemist Jeremias Richter devised a simple method for comparing compounds and determining ho... |
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