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# The Japanese Theorem for Nonconvex Polygons - A Proof of the Generalized Japanese Theorem
Author(s):
David Richeson
### A Proof of the Generalized Japanese Theorem
Lemma. Given any cyclic polygon, the difference between the number of positively oriented triangles and the number of negatively oriented triangles is ... | {} |
# Newtonian derivation of Friedmann equation
1. Oct 25, 2006
### Mike2
I'm trying to derive Friedmann's equation for cosmology using Newtonian physics. I've got the force equation F=ma for the case without a cosmological constant. But now I'm trying to incorporate the cosmological constant into this force equation.
... | {} |
# How does an Engine like Source process entities?
On the Source engine (and it's antecessor, goldsrc, quake's) the game objects are divided in two types, world and entities. The world is the map geometry and the entities are players, particles, sounds, scores, etc (for the Source Engine).
Every entity has a think fu... | {} |
Galleries
Due to the large quantity of available photographs within the Archive, I have split them by decade in the first instance. (Click on image to see galleries for the decade.)
1940’s 1950’s
1960’s 1970’s | {} |
# Come from Lewis Carroll's Symbolic Logic.)No ducks waltz.No officers ever decline to waltz.All my poultry are ducks.$herefore$ My poultry are
###### Question:
Come from Lewis Carroll's Symbolic Logic.) No ducks waltz. No officers ever decline to waltz. All my poultry are ducks. $\therefore$ My poultry are not offic... | {} |
×
# arithmetic progression
Can anyone have a solution about how to find common elements in two arithmetic progressions?? E.g. First seq is 2,17,32,47,.... Second seq is 67,147,227,... First common term is 227. So how to find these common terms in any given sequences?
Note by Milind Joshi
3 years, 7 months ago
Markd... | {} |
# Prove that A² + 3B² = 4.
#### anemone
##### MHB POTW Director
Staff member
Problem:
$$\displaystyle p(x)=4x^3-2x^2-15x+9$$
$$\displaystyle q(x)=12x^3+6x^2-7x+1$$
Let A be the largest root of $$\displaystyle p(x)$$ and B the largest root of $$\displaystyle q(x)$$. Show that $$\displaystyle A^2+3B^2=4$$
Hi all, thi... | {} |
# Question 2109a
Jun 5, 2015
Start with the dissociation of the ethanoic acid, $C {H}_{3} C O O H$, in aqueous solution to give hydronium cations and ethanoate anions, $C {H}_{3} C O {O}^{-}$.
$C {H}_{3} C O O {H}_{\left(a q\right)} + {H}_{2} {O}_{\left(l\right)} r i g h t \le f t h a r p \infty n s {H}_{3} {O}_{\le... | {} |
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Math Central Quandaries & Queries
Question from nasr, a teacher: Four apples and two oranges cost Rs. 30, and one apple and 3 oranges costs Rs.15. How much does each apple and each oranges cost?
Hi,
I am going to solve this problem using the technique called the method of elimination but using two prese... | {} |
## A community for students. Sign up today
Here's the question you clicked on:
## AcidRa1n 3 years ago See 18 and 20 Pic
• This Question is Closed
1. AcidRa1n
2. satellite73
take the square root fo the ratios
3. satellite73
first one for example $\frac{4}{16}=\frac{1}{4}$ so ratio of the perimeter is $\frac{\sqr... | {} |
Attention
Version 3 is now the current version of MathJax. This document is for version 1.
# The HTML-CSS output processor¶
The options below control the operation of the HTML-CSS output processor that is run when you include "output/HTML-CSS" in the jax array of your configuration. They are listed with their defaul... | {} |
# Revision history [back]
Hellooooooo !!
I can't answer for the graph database problem (no Sage installed on my computer), but there is a way for you to use Nauty through Sage !
If you have not installed the spkg already, you can do it by typing sage -i nauty in a console, or something like install_package("nauty") ... | {} |
# [OS X TeX] assistance with a problem
Sergei Mariev sergei.mariev at lrz.uni-muenchen.de
Fri Dec 8 14:32:49 EST 2006
Some more information to make the issue more clear:
There are two sets of commands that the \ref{} refer two. The one set
occurs in the introduction and are defined like this:
\newcommand{\stufezwei}... | {} |
In the verge of coronavirus pandemic, we are providing FREE access to our entire Online Curriculum to ensure Learning Doesn't STOP!
# Ex.8.2 Q7 Quadrilaterals Solution - NCERT Maths Class 9
Go back to 'Ex.8.2'
## Question
$$ABC$$ is a triangle right angled at $$C$$. $$A$$ line through the mid-point $$M$$ of hypote... | {} |
Implementation of ECC operations in BMR
I want to implement computing ECC operations (i.e., multiplication) in a BMR scheme (secure multi-party computation)
What is the best way to do it?
I found Fairplay MPC - to allow BMR computation through ASFL language, but it does not provide a good library for ECC operations.... | {} |
## A Proof of Menon’s Identity Using Burnside’s Lemma
$$\sum_{i=1}^n [\gcd(i,n)=1] \gcd(i-1,n) = \varphi(n) d(n)$$ | {} |
# HLSL Pixel Shaders With D3d9 SDL_Renderer
### April 18, '21
Sometimes when working with SDL you may want to have custom effects that run fullscreen for every pixel. In some cases you can just do that on the CPU side, but that quickly becomes a CPU bottleneck as the resolution increases.
One solution to avoid that ... | {} |
R Series Universal Connections
Installation
Manual on any R Universal Series Components (valve body or connection)
Applications
All applications that require the use of the R Universal Series
Physical specifications
Valve body PA 66 FV 30% O-Ring NBR/LSR
Working specifications
Working pressure 0 ÷ 10 bar Room... | {} |
# krypton difluoride polar or nonpolar
Is Tricarbon Hexahydride Ionic Or Covalent. Example: An example of dipole-dipole interaction is the interaction between two sulfur dioxide (SO 2 ) molecules, in which the sulfur atom of one molecule is attracted to the oxygen atoms of the other molecule. A few hundred compounds o... | {} |
# Create an image showing max intensities in a set of images?
I would like to use a set of two images with the same color scheme (img1 and img2) to produce a new image (img3) in which each pixel corresponds to the "higher pixel color value" of img1 and img2.
Imagine objects (e.g. disks) in img1 have the color col1:
... | {} |
# Module that finds the sum of digits of any given positive integer
How can I make a module that finds the sum of digits of any given positive integer?
I use this command
F[x_]:= Apply[ Plus, IntegerDigits[x] ]
Is there another module to do it ?
-
Total@IntegerDigits[x] – Kuba Dec 19 '13 at 23:58
Totlal work as ... | {} |
Browse Questions
Determine which of the following functions $f:R \rightarrow R\;are\;(a)One-One\quad(b)Onto$$(i)f(x)=|x|+x$$(ii)f(x)=x-[x]$
Can you answer this question? | {} |
# How to maintain ssh-agent login session with Windows 10's new OpenSSH and PowerShell
On my Ubuntu machine, I simply use Keychain to maintain a single ssh-agent which stays logged in.
I'd like something similar to that on Windows now that OpenSSH is natively included. I was using Git Bash with the well-known if [ -z... | {} |
# How to implement this symbol in LaTeX? [duplicate]
I wanted to do the sigma enclosures in the below shown equation correctly. Actually this is also expectation symbol, right? I don't know it's name.
## marked as duplicate by yo', m0nhawk, Mico, Svend Tveskæg, Paul GesslerAug 16 '14 at 14:26
• You mean \langle, \ra... | {} |
# Height Required for Rollercoaster to Remain on the Track
1. Oct 23, 2014
### B3NR4Y
1. The problem statement, all variables and given/known data
A roller-coaster car initially at a position on the track a height h above the ground begins a downward run on a long, steeply sloping track and then goes into a circular... | {} |
# Curve Fitting using known Points [closed]
In this answer, David Stork said that my question could be solved using "simple curve fitting with different numbers of even polynomial rank" in Mathematica. How would I do that (an equation that goes through all of the points), the points I'm using are : $$(\pm\sqrt{3},0),(... | {} |
# Difference between revisions of "Pyramid"
This is an AoPSWiki Word of the Week for Sep 6-12
A pyramid is a 3-dimensional geometric solid. It consists of a base that is a polygon and a vertex not on the plane of the polygon. The edges of the pyramid are the sides of the polygonal base together with line segments co... | {} |
1. ## limit problem
lim as x->0 of f(x) where f(x)= (1 /x^2)sin(x/2)
i plugged in numbers close to zero and discovered the limit to be 0.5 but how do i solve this algebraically.
2. Hello,
Originally Posted by myoplex11
lim as x->0 of f(x) where f(x)= (1 /x^2)sin(x/2)
i plugged in numbers close to zero and discovere... | {} |
# scalar product example
Fig 2 In figure (b), the vector A is projected along the direction of vector B, as a result, a projected component of vector A is generated along the vector B. For example spherical coordinates where the metric is Thus, for example, the product of a 1× n matrix and an n ×1 matrix, which is for... | {} |
### Was That It?
Last One To Leave, Turn Out The Lights.
This was originally written for a science-writing competition on the now-defunct Richard Dawkins forum. I've presented it here with only a bit of formatting and tidying, but otherwise exactly as presented originally. The original date of publication was 19 Febr... | {} |
Try out our new practice tests completely free!
Solved
# If a Student Scored 82 Points on a Test Where $78.2$
Question 116
Multiple Choice
Question 116
Multiple Choice
## If a student scored 82 points on a test where the mean score was $78.2$ and the standard deviation was 6.7. The student's $z$ score is_____.
A) 0... | {} |
# Finding the distribution of $\frac{min(X,Y)}{max(X,Y)}$
Just need some hints on finding the distribution of $Z =\frac{min(X,Y)}{max(X,Y)}$
Where X and Y are iid ~ Unif(0,1).
$P(Z \gt z) = P(\frac{min(X,Y)}{max(X,Y)} \gt z) = P(min(X,Y) \gt z*max(X,Y))$
$= P(X \gt Y, min(X,Y) \gt z*max(X,Y)) + P(Y \gt X, min(X,Y) ... | {} |
If you only use a Lightroom catalog on a single computer, the requirements for storing the image files aren't that complicated, but how to do it, if the same image catalog is to be used on many different computers?
I've previously written a long post about using Dropbox to sync a Lightroom catalog between multiple com... | {} |
# Near-Real-Time Hyperion Analysis
A cloud-based monitor for consolidation heuristics
## tl;dr
The term “performance” can have different connotations. In financial firms it most often refers to profit or loss. In tech companies, it can refer to throughput of an application or service. In this case, the term “perform... | {} |
×
# Where $$g=0$$?
From the surface of earth,in which height,the value of $$g=0$$?
11 months ago
Sort by:
0 · 11 months ago
yah..thanks @Rahul Saha · 10 months, 2 weeks ago
The correct answer has already been given by @Jafar Badour so I would just add that since $$g=\frac{GM}{d^2}$$, hence for sufficiently far a... | {} |
[NTG-context] space between last bodytext line and blackrule
Wed Nov 14 15:29:29 CET 2007
2007/11/14, Steffen Wolfrum <context at st.estfiles.de>:
> Hi,
>
> in a layout with footnotes at the bottom of the page it happens
> sometime that the last bodytext line is moved to a new page although
> it *looks* as there woul... | {} |
Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an... | {} |
Industrial Utility Efficiency
# BeyondZero™ Sustainability at SKF
### How does SKF define Sustainability?
The guiding concept is to make business decisions that our grandchildren will be proud of. We define sustainability as “SKF Care”. SKF Care is a guiding principle for everyone at SKF. It has four dimensions - Bu... | {} |
Review question
# Can we find the area under a parabola? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R6067
## Suggestion
Let $I(c)=\int_0^1 ((x-c)^2 +c^2)\:dx$ where $c$ is a real number.
The curve here is $y = (x-c)^2 + c^2... | {} |
# Difference between revisions of "Complete metric space"
2010 Mathematics Subject Classification: Primary: 54E50 [MSN][ZBL]
A metric space in which each Cauchy sequence converges. A complete metric space is a particular case of a complete uniform space. A closed subset $A$ of a complete metric $(X,d)$ space is itsel... | {} |
# StateTomography¶
class StateTomography(circuit, measurement_basis=<PauliMeasurementBasis: PauliMeasurementBasis>, measurement_qubits=None, basis_indices=None, qubits=None)[source]
Quantum state tomography experiment.
Overview
Quantum state tomography (QST) is a method for experimentally reconstructing the quantum... | {} |
# Letter g rendered with different descender styles
I've just noticed that Mathematica renders g in two distinct ways: either with a closed descender or a open descender. Seems it happens only for local variables.
• g with open descender:
• g with closed descender:
Does anyone know what/why this is happening?
Edit ... | {} |
## Problem 750
A place to air possible concerns or difficulties in understanding ProjectEuler problems. This forum is not meant to publish solutions. This forum is NOT meant to discuss solution methods or giving hints how a problem can be solved.
Forum rules
As your posts will be visible to the general public you
are ... | {} |
# Oxidation of Methylidene Groups to Carbonyl Groups
## Oxidation of Methylidene Groups to Carbonyl Groups: Laboratory Applications
• From gaseous olefins Excess gas is bubbled into a shaken solution of 100 $mL$ palladium(II) chloride in a 250 $mL$ flask equipped with a heating mantle . Reaction time varies from 5 $m... | {} |
MLIR 16.0.0git
Utils.cpp File Reference
#include "mlir/Analysis/Presburger/Utils.h"
#include "mlir/Analysis/Presburger/IntegerRelation.h"
#include "mlir/Analysis/Presburger/MPInt.h"
#include "mlir/Support/LogicalResult.h"
#include "mlir/Support/MathExtras.h"
#include <numeric>
Include dependency graph for Utils.cpp:
... | {} |
# Linear Algebra - Find Orthogonal Matrix Q that diagonals
1. Apr 24, 2016
### YoshiMoshi
1. The problem statement, all variables and given/known data
I'm told to find the matrix Q of the matrix A
2. Relevant equations
3. The attempt at a solution
So my problem is that in the answer key they have S = (1/3)... and... | {} |
Revista de la Unión Matemática Argentina Home Editorial board For authors Latest issue In press MCA 2021 Online first Prize Search OJS
### Published volumes
##### 1936-1944
Canal surfaces with generalized 1-type Gauss map
Volume 62, no. 1 (2021), pp. 199–211
### Abstract
This work considers a kind of classification... | {} |
Critical function
A statistic for which the values are the conditional probabilities of the deviations from the hypothesis being tested, given the value of an observed result. Let $X$ be a random variable with values in a sample space $( \mathfrak X , \mathfrak B )$, the distribution of which belongs to a family $\{ {... | {} |
Recognitions:
Gold Member
## What is configuration space?
In a section describing "Problems Raised by Statistical Interpretation" of the Schrodinger wave equation, Albert Messiah (QUANTUM MECHANICS) says this:
...the wave equation is described in configuration space not in ordinary space; it can not therefore be id... | {} |
# How do you write the chemical equation and K_b expression for the ionization of ammonia in water? How is it safe for a window cleaner to use a solution of ammonia, which is basic?
NH_3(aq) + H_2O(l) rightleftharpoonsNH_4^(+) + ""^(-)OH
K_b=([H_4N^(+)][""^(-)OH])/([NH_3(aq)]) $=$ ${10}^{- 4.75}$
The concentration of ... | {} |
# wireless sensor baud rate calculation
I need to calculate baud rate of wireless sensor which operates on 433.92Mhz and uses OOK modulation. Signal wave form and packet structure are known. Packet = 36bit (44.7ms), each bit consists of 2 impulses with different duration (bit 0 - LOW & 2HIGH, bit 1 - 2LOW & HIGH)
So ... | {} |
TOD
Seminar
Homotopy, link homotopy and (higher?) helicity
Shonkwiler, C (University of Georgia)
Tuesday 02 October 2012, 11:30-12:30
Seminar Room 1, Newton Institute
Abstract
I will outline a program for relating link homotopy classes of links in Euclidean 3-space to homotopy classes of certain associated maps. ... | {} |
# How should night time be calculated when it is not night during the entire flight? [duplicate]
I am B777 rated pilot and software developer. Nowadays I am working on an application about flights and this app has to calculate night time. Still I am trying to figure out how to calculate night time correctly for loggin... | {} |
# Someone know a specific maximum principle…? [Solved]
I need a maximum principle in unbounded domains: if $u$ is a solution, bounded in $\Omega$, satisfying
$$\Delta u+c(x)u=0, \ \ in \ \Omega,$$ $c\in L^\infty$, $$u\leq0 \ \ in \ \Omega$$ $$u(x_0)=0, \ \ x_0\in\Omega$$ Then $$u\equiv0 \ \ in \ \Omega$$ Someone know... | {} |
# Six identical particles each of mass ‘m’ are arranged at the corners of a regular hexagon of side length ‘L’. If the masses of any two adjacent particles are doubled. The shift in the centre of mass is???
May 15, 2018
$\frac{\sqrt{3}}{8} L$
#### Explanation:
The center of mass of the original arrangement (six equ... | {} |
Gene Abundance Estimation with Salmon¶
Salmon is one of a breed of new, very fast RNAseq counting packages. Like Kallisto and Sailfish, Salmon counts fragments without doing up-front read mapping. Salmon can be used with edgeR and others to do differential expression analysis (if you are quantifying RNAseq data).
Tod... | {} |
# NIELIT 2019 Feb Scientist D - Section A: 25
1 vote
73 views
Ten boys are standing in a row facing the same direction. Abhijit, who is $7^{th}$ from the left end of the row, is to the immediate right of Sushant, who is $5^{th}$ from the right end of the row; Sushant is $3^{rd}$ to the right of Rupin. How many childr... | {} |
# Positive definite inner product on Lie algebra.
1. Jul 29, 2014
### center o bass
While studying Yang-Mills theory, I've come across the statement that
there exists a positive-definite inner product on the lie algebra $\mathfrak g$ iff the group $G$ is compact and simple. Why is this true, and how it is proved?
2... | {} |
# Gentoo Archives: gentoo-pms
From: Ulrich Mueller gentoo-pms@l.g.o Re: [gentoo-pms] EAPI specification in ebuilds Tue, 10 Apr 2012 10:53:41 20356.4391.807488.609689@a1i15.kph.uni-mainz.de Re: [gentoo-pms] EAPI specification in ebuilds by Ulrich Mueller
>>>>> On Sat, 7 Apr 2012, Ulrich Mueller wrote:
>>>>> On Fri, 6 ... | {} |
Lemma 37.52.3. Let $f : X \to S$ be a morphism of schemes. Let $s \in S$. Then $X_ s$ is geometrically connected, if and only if for every étale neighbourhood $(U, u) \to (S, s)$ the base change $X_ U \to U$ has connected fibre $X_ u$.
Proof. If $X_ s$ is geometrically connected, then any base change of it is connecte... | {} |
## Thomas' Calculus 13th Edition
$\frac{4\pi(8-3\sqrt{3})}{3}$
We calculate the volume as follows: V=$8\int^{2\pi}_0 \int^1_0 \int^{\sqrt{4-r^2}}_0$ dz r dr $d\theta$ =$8\int^{2\pi}_0 \int^1_0 r(4-r^2)^{1/2}dr$ d $\theta$ =$8\int^{2\pi}_0 [-\frac{1}{3}(4-r^2)^{3/2}]^1_0 d\theta$ =$\frac{8}{3} \int^{2\pi}_0 (3^{3/2}-8)... | {} |
# 3Sum complexity
I came up with a solution to the 3-sum problem, but I need your help to understand the complexity of my algorithm.
I store the input in $$n$$ digits array. My goal is to find $$a >= b >= c$$ that belongs to the array and their sum is $$0$$.
• I sort the array in ascending order for the cost of $$O(... | {} |
Motion with constant velocity
The distance traveled is the product of velocity and time.
$s = vt$
were,
s = distance
v = velocity
t = time
It follows that
$t = \dfrac{s}{v}$ and $v = \dfrac{s}{t}$
Motion in a current of water or air
Let
x = velocity of the (boat/airplane) in still (water/air) and
y = velocity ... | {} |
OpenStudy (anonymous):
CALC QUESTION: (Will medal) An object moves along the x-axis with velocity of v(t) = t(sqrt(2t+3)) -3t For which 't' is the object moving to the right?
1 year ago
OpenStudy (anonymous):
Will I have to integrate?
1 year ago
OpenStudy (anonymous):
$v(t) = t \sqrt{2t+3} - 3t$
1 year ago
OpenSt... | {} |
# Uniform convergence
could someone please explain if f_n(x)= 1-x^n all over 1-x is uniformly convergent? can someone show why its independent of x if it is and on what intervals? Also, can someone explain if it isnt uniform convergent then can they show a proof and explain. Thanks any help will be greatly appreciated... | {} |
Recently, gensim, a Python package for topic modeling, released a new version of its package which includes the implementation of author-topic models.
The most famous topic model is undoubtedly latent Dirichlet allocation (LDA), as proposed by David Blei and his colleagues. Such a topic model is a generative model, de... | {} |
# Properties
Label 2052.3.bl.a Level $2052$ Weight $3$ Character orbit 2052.bl Analytic conductor $55.913$ Analytic rank $0$ Dimension $80$ CM no Inner twists $2$
# Related objects
## Newspace parameters
Level: $$N$$ $$=$$ $$2052 = 2^{2} \cdot 3^{3} \cdot 19$$ Weight: $$k$$ $$=$$ $$3$$ Character orbit: $$[\chi]$$... | {} |
# 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 "strai... | {} |
1968 IMO Problems/Problem 4
Problem
Prove that in every tetrahedron there is a vertex such that the three edges meeting there have lengths which are the sides of a triangle.
Solution
Let the edges of one of the faces of the tetrahedron have lengths $a$, $b$, and $c$. Let $d$, $e$, and $f$ be the lengths of the side... | {} |
## Sunday, March 04, 2007 ... //
### Supercriticality vs negative curvature: a new duality
My review of Chris Herzog's interesting talk on Friday wouldn't go terribly beyond my comments about Subir Sachdev's talk.
Instead, let me focus on a special seminar by Eva Silverstein whose content I find kind of exciting, al... | {} |
# Assume the following relationships for the Caulder Corp.: Sales/Total assets 1.4x Return on assets (ROA) 6% Return on equity (ROE) 9% Calculate Caulder's profit margin assuming the firm uses only debt and common equity, so total assets equal total invested capital. Round your answer to two decimal places. 4.29 % Calc... | {} |
# Evaluating $\int \frac{1}{{x^4+1}} dx$ [duplicate]
I am trying to evaluate the integral
$$\int \frac{1}{1+x^4} \mathrm dx.$$
The integrand $\frac{1}{1+x^4}$ is a rational function (quotient of two polynomials), so I could solve the integral if I can find the partial fraction of $\frac{1}{1+x^4}$. But I failed to f... | {} |
# Matrix
Useful when centering a vector around its mean
Given a matrix $\mathbf X \to X_{m}^{\phantom{m}n}$, we can decompose it into three matrices … | {} |
# How do you find the vertical, horizontal or slant asymptotes for (2x^2+x-7)/(x^2-1)?
Nov 2, 2016
The vertical asymptotes are $x = - 1$ and $x = 1$
The horizontal asymptote is $y = 2$
#### Explanation:
The denominator $\left({x}^{2} - 1\right) = \left(x + 1\right) \left(x - 1\right)$
As we cannot divide by zero, t... | {} |
# Items 1 through 4 require use of present value tables. The fol- lowing are the present value...
Items 1 through 4 require use of present value tables. The fol- lowing are the present value factors of $1 discounted at 8% for one to five periods. Each item is based on 8% interest com- pounded annually from day of depo... | {} |
# 2022 06 01 tweets
Replying to @taliaschaffer1, @stewdust and @SaraNAhmed
Wow wow wow this sounds like an amazing conversation. I’m honored to have been part of such a pairing!
Right? I love their meeting poll interface too — so much less awful than any other I’ve used.
One of the great privileges of having the po... | {} |
# Oracle 11g internals part 1: Automatic Memory Management
147人阅读 评论(0)
This is my attempt for getting cheap popularity out of recent Oracle 11g release. This is not going to be another Oracle 11g new features list, I’ll be just posting any of my research findings here, in a semi-organized way.
The first post is is ... | {} |
# Dijkstra's Algorithm
I have recently implemented Dijkstra's Algorithm to the shortest path between all pairs of nodes in the graph. I have implemented this code in Java. As instructed I am using a linked list to represent the adjacency matrix. As instructed, I am running my algorithm for a complete graph. The runnin... | {} |
# Chapter 11 - Systems of Equations and Inequalities - 11.5 Partial Fraction Decomposition - 11.5 Assess Your Understanding - Page 768: 1
True.
#### Work Step by Step
Simplify both sides of the equation to obtain $(x^2-2x+1)-1=x^2-2x\\x^2-2x=x^2-2x$ Two twos sides are equal. Hence, the given equation is an identity.... | {} |
Nilradical is the intersection of finitely many minimal prime ideals.
Let $$R \neq \{0 \}$$ be a commutative ring with identity. Suppose that $$R$$ has only finitely many minimal prime ideals $$p_1,\dots , p_s.$$ Then $$\sqrt {0} = \bigcap\limits_{i=1}^{s} p_i.$$
I know that $$\sqrt 0 = \bigcap\limits_{p\text { prime... | {} |
# 9.1. Example: Wrangling CO2 Measurements from Mauna Loa Observatory¶
Carbon dioxide (CO2) is an important signal of global warming. CO2 is a gas that traps heat in the earth’s atmosphere. Without it, earth would be impossibly cold, but increases in CO2 also drives global warming and threatens our planet’s climate. C... | {} |
# 5.11. Asynchronous Programming¶
Perhaps one of the hardest aspects of prgramming in JavaScript is learning to cope with the asynchronous nature of JavaScript itself. Javascript can only do one thing at a time. It is a “single threaded” language. But what happens when you want to do something that may take some time,... | {} |
#### Translator’s note
Deligne, P. “Le Groupe Fondamental de la Droite Projective Moins Trois Points.” In Galois Groups over \mathbb{Q}, Springer–Verlag, MSRI Publications 16 (1989), 79–297. DOI: 10.1007/978-1-4613-9649-9_3. [PDF]
The translator (Tim Hosgood) takes full responsibility for any errors introduced, and c... | {} |
On the Translation of Higher-Order Problems into First-Order Logic
• In most cases higher-order logic is based on the (gamma)-calculus in order to avoid the infinite set of so-called comprehension axioms. However, there is a price to be paid, namelyan undecidable unification algorithm. If we do not use the(gamma) - ca... | {} |
Proof. Let $\mathfrak p \subset A$ be a prime. Let $\kappa (\mathfrak p) \subset k$ be a finite purely inseparable extension. We have to show that $C \otimes _ A k$ is regular. By Lemma 15.40.3 we may assume that $A = k$ and we reduce to proving that $C$ is regular. The assumption is that $B$ is regular and that $B \to... | {} |
# Maximum entropy classification applied to speech
M. R. Gupta, M. P. Friedlander, R. M. Gray
In Conference Record of the Thirty-Fourth Asilomar Conference on Signals, Systems and Computers, vol. 2, 1480-1483, 2000
## Abstract
We present a new method for classification using the maximum entropy principle, allowing f... | {} |
Browse Questions
# The equilibrium constant of acetic acid in an aqueous solution of concentration $c$ is given by
$\begin{array}{1 1}K=\large\frac{c\Lambda_c^2}{\Lambda^{\infty}-\Lambda_c}\\K=\large\frac{c\Lambda_c^2}{\Lambda^{\infty}(\Lambda^{\infty}-\Lambda_c)}\\K=\large\frac{c\Lambda_c^2}{\Lambda^{\infty}+\Lambda... | {} |
# Properties of a New Group of Cosmic Nuclei: Results from the Alpha Magnetic Spectrometer on Sodium, Aluminum, and Nitrogen
Phys. Rev. Lett. 127, 021101 (2021)
Published on:
Abstract
We report the properties of sodium (Na) and aluminum (Al) cosmic rays in the rigidity range 2.15 GV to 3.0 TV based on 0.46 million so... | {} |
E. Case of Computer Network
time limit per test
3 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Andrewid the Android is a galaxy-known detective. Now he is preparing a defense against a possible attack by hackers on a major computer network.
In this network are n vertices, so... | {} |
• # question_answer Which of the following salt does not get hydrolysed in water [CPMT 2004] A) $KCl{{O}_{4}}$ B) $N{{H}_{4}}Cl$ C) $C{{H}_{3}}COONa$ D) None of these
Only salts of (weak acid + strong base) and (strong acid + weak base) get hydrolysed (i.e., show alkalinity or acidity in water). $KCl{{O}_{4}}$ is a sa... | {} |
# Number of labelled trees with exactly 3 leaves
I have seen some relevant questions here about that matter [1], [2] but I am getting a different result and I cannot understand if I am wrong. So the question is:
Find the number of labelled trees on $$n\geq 4$$ vertices that have exactly $$3$$ leaves.
This problem ca... | {} |
quark stabilizer. Get 20+ Creative Cloud apps including Photoshop, Illustrator, Adobe Express, Premiere Pro, and Acrobat Pro. With up to 4 more hours of battery life with iPhone 11 Pro and up to 5 hour of battery life with …. Already have an account? Sign in to comment. Pudding, Flan, Blancmange, Custards, Creams, Mous... | {} |
# The quantities of heat required to raise the temeprature of tow solid copper spheres of radii r1 and r2 (r1 = 1.5 r2) throught 1 K in the ratio
+1 vote
547 views
in Physics
The quantities of heat required to raise the temperature of two solid copper spheres of radii r1 and r2(r1 - 1.5 r2) through 1k are in the rati... | {} |
# derivation of electric potential at a point on axial line of an electric dipole
Suppose P is a point on the axial position of the dipole.
Length of dipole=2a
Suppose point P is at the distance 'r' from the center of the dipole.
We know that potential at a point is given as,
$\mathrm{V}=\frac{1}{4\mathrm{\pi }{\in }_... | {} |
# Compound Interest
1. In how many years will Rs. 2,000 amount to Rs. 2,420 at 10% per annum compound interest? [SSC Grade 2000]
(a) 3
(b)
(c) 2
(d)
Explanation:
n = 2 years
2. The rate of interest at which an amount of Rs. 1800 on compound interest becomes Rs. 1984. 50 in 2 years is: [CDS 1998]
(a) 3%
(b) 4%... | {} |
# 7.E: Intermediate and Extreme Values (Exercises)
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
## Q1
Mimic the definitions of an upper bound of a set and the least upper bound (supremum) of a s... | {} |
Problem on Doppler effect and sound level
Tags:
1. Jul 5, 2016
Soren4
1. The problem statement, all variables and given/known data
A source emits a spherical sound wave at frequency $f=110Hz$ with power $P=1 W$ in a solid angle of $2 \pi sr$. An observer moves with velocity $v_{oss}=108 km/h$ towards the source. Det... | {} |
Larry Riddle, Agnes Scott College
The Golden Self-Contracting Angles
The golden ratio is $\phi = \frac{1+\sqrt{5}}{2}.$ It is the unique positive solution to the equation $$x^2-x-1=0$$, and its reciprocal $$1/\phi$$ is the unique positive solution to $$x^2+x-1=0$$. Two useful properties of $$\phi$$ are that \begin{al... | {} |
# UVa 688
## Summary
We have to find the area of n axis-aligned squares with arbitrary positions and sizes. This is a nice problem with two fairly different solutions. There is a ${\displaystyle O(n^{3})}$ solution that works by cleverly breaking up the plane into discrete grid. There is also a Sweep Line solution th... | {} |
# bornological vector spaces over a non-archimedean field
Let $k$ be a complete non-archimedean field. In definitions I have seen of bornological vector spaces over $k$ there are usually some extra assumptions on the non-archimedean field. For instance in 'Espaces analytiques relatives et theorem de finitude' by Houze... | {} |
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