content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
''4col \le 3col is counter-intuitive and makes me sad'' NOT ANYMORE!
(ADDED LATER- THE PROOF BELOW SEEMS TO BE WRONG- A COMMENTER POINTED OUT A MISTAKE. IF YOU CAN FIX IT PLEASE
LEAVE COMMENT. I WILL POINT OUT MISTAKE WHEN IT COMES.)
FINAL ADD: I DID THE PROOF IN LATEX
HERE
A COMMENTER POINTED OUT THAT LOVASZ HAD A... | 4 | [
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0.00885009765625,
-0.00753784... | 14,000 | 14000 | |
What's with the different formulas for kurtosis?
FAQ: What's with the different formulas for kurtosis?
In describing the shape statistical distributions kurtosis refers to the peakedness or flatness of the distribution. Different statistical packages compute somewhat different values for kurtosis.
What are the differ... | 5 | [
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Surface area of a cube
Surface area of a cube
To derive the formula of the surface area of a cube, do the followings:
Start with a cube as shown below and call the length of one side a:
In order to make a cube like the one shown above, you b... | 4 | [
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Soil Testing Equipment
USE OF CONE PENETRATION TEST IN PILE DESIGN Introduction
The prediction of pile capacity is complicated by the large variety of soil types and installation procedures. Many methods have been proposed to predict the axial capacity of single piles. These
methods can be divided in three main groups... | 4 | [
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Determining Spherical Lens Correction for Astronaut Training... : Optometry & Vision Science
The refractive power of the anterior corneal surface (refractive index, ∼1.376) is largely neutralized when placed in direct contact with water due to water's similar refractive index (∼1.333).^1
This anterior corneal surface p... | 4 | [
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Torque of a Tree Limb or Pole
Date: 05/28/2008 at 18:29:08
From: Sayer
Subject: Trying to figure out leverage weight
My stepdad wants to know the formula for leverage weight when cutting
dangerous limbs off trees. He explains it to me like this: "If I
remove 1/3 of the growth from the end of a 20' limb and I piled w... | 4 | [
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Repeating Decimals - Rational or Irrational?
Date: 09/11/2001 at 19:26:09
From: Mirko l.
Subject: Rational or irrational numbers?
In my 7th grade class we are working on rational and irrational
numbers. My teacher wants an opinion about whether these numbers are
rational or irrational:
0.252252225
0.125126127
Da... | 4 | [
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Questions and Answers
Status: Closed
Anonymous @ on
In the time-dependent NEGF equation, given a sigma_in(t,t’) due to the dot, I am getting an I-V equation that is making it difficult for me to group terms. For instance, looking at the analogue of
the first term of I = 2q/hbar. int dE TrGin I get I1 = q/ihbar. int ... | 5 | [
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Accelerated Motion
An acceleration is a change in velocity during a time interval. The change in velocity can either be a change in speed or a change in direction of motion. Mathematically, average acceleration is
defined as change in velocity divided by change in time (Dv/Dt). Since acceleration is a vector quantity,... | 4 | [
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Primes in Quadratic Fields
July 21st 2010, 05:04 AM #1
Member
Joined
Jun 2010
From
United States
Posts
200
Primes in Quadratic Fields
Hello all,
I was examining a case described in my book about primes in Quadratic Fields. The case describe examines positive prime numbers named "d" that are in Z... | 4 | [
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Dirichlet form on Riemannian manifold is tight?
up vote 2 down vote favorite
$M$ is an $n$-dimensional Riemannian manifold. Consider the Dirichlet form $$\varepsilon \left( {u,v} \right) = \int_M {\left\langle {\nabla u,\nabla v} \right\rangle }, \quad u ,v \in {W^{1,2}}\left
( M \right).$$ The capacity $c$ of an open... | 4 | [
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dy
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tanvidais13 Group Title
2sin^4(z) + 7cos(z... | 4 | [
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computer programming language :: Control structures
computer programming language
Article Free Pass
Control structures
Programs written in procedural languages, the most common kind, are like recipes, having lists of ingredients and step-by-step instructions for using them. The three basic control structures in
virt... | 4 | [
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Random Fourier Features for Kernel Density Estimation
Home
>
Estimation
> Random Fourier Features for Kernel Density Estimation
Random Fourier Features for Kernel Density Estimation
The NIPS paper Random Fourier Features for Large-scale Kernel Machines, by Rahimi and Recht presents a method for randomized feature ... | 4 | [
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Factoring a Quadratic Trinomial by Grouping
Another method for factoring these kinds of quadratic trinomials is called factoring by grouping. Factoring by grouping can be a bit more tedious, and is often not worth the trouble if you can find
the correct factors by some quick trial and error. However, it works quite we... | 4 | [
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PISA Problem Problem
December 7, 2013 am31 10:30 am
Ever count ceiling tiles during a boring test? I have. And I run into a problem (besides that people notice me staring goofy at the ceiling). The tiles never fit. How do I count the broken tiles?
Does each broken tile count as a full tile, since a full tile had to ... | 4 | [
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Patent US7221754 - Switchable hybrid design for asymmetric digital subscriber line
RELATED PATENT APPLICATIONS
This application claims the benefit, under 35 U.S.C. ง 119(e)(1), of U.S. Provisional Application No. 60/354,698, entitled SWITCHABLE HYBRID DESIGN FOR ADSL, filed Feb. 5, 2002 by Fernando A. Mujica.
BACKGRO... | 4 | [
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Generating π in CL
Update 2009-07-23 : Faster version in CL and a Haskell version.
——————————————————————————–
A trivial approximation using the Leibniz formula.
(defun leibniz-pi()
(labels ((local-pi(sum n)
(if (< n (expt 10 6))
(local-pi
(+ sum (/ (expt -1 n) (+ (*... | 4 | [
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0.0... | 14,017 | 14017 | |
Bound on cardinality of a union
up vote 5 down vote favorite
1
Suppose I have n finite sets A[1] through A[n] contained in some fixed set S, and I am given non-negative integers N and N[1] through N[n] such that each A[i] has cardinality N, and each k-tuple
intersection has cardinality less than or equal to N[k].
Can... | 5 | [
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Large Fibonacci
This is a discussion on Large Fibonacci within the C++ Programming forums, part of the General Programming Boards category; Off topic here, but is that code using .NET features ('managed C++' I
think?) Just curious, because I've only seen ...
Off topic here, but is that code using .NET features ('manag... | 4 | [
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morphism of sites
Context
Topos Theory
Could not include topos theory - contents
Morphisms of sites
Idea
A morphism of sites is, unsurprisingly, the appropriate sort of morphism between sites. It is defined exactly so as to induce a geometric morphism between toposes of sheaves (or, more generally,
exact completio... | 4 | [
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0.0334472656... | 14,020 | 14020 | |
Rotation
A rotation transformation is the result of the orientation of the initial space being different from the orientation of the destination space. The basis vectors of the space do not change orientation
relative to one another, but relative to the destination coordinate system, they are pointed in different direc... | 4 | [
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0.095703125,
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Poset axioms of Boolean algebra
up vote 0 down vote favorite
I found in Awodey's "Theory Category", second edition p34, a set of poset axioms to define Boolean algebras, whereas I don't see how they can be sufficient.
Here are the axioms:
A Boolean algebra is a poset B equipped with distinguished elements 0, 1, ... | 4 | [
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0.03125,
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0.0390625,
0.01733398... | 14,022 | 14022 | |
Equivalence of
1. Introduction
Symmetry is one of the most important concepts in the solid-state sciences. Knowledge of the symmetry of a crystalline compound allows the understanding of many aspects of its physical behavior,
including degeneracies, the possibility of possessing non-linear properties and the anisotro... | 4 | [
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Half a Triangle
Copyright © University of Cambridge. All rights reserved.
Well done Arun from National Public School, Bangalore, India, some quality thinking in devising this solution.
We are given a triangle $ABC$ , and are required to draw a line $DE$ parallel to $CB$ such that it divides the triangle into $2$ of e... | 4 | [
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0.... | 14,024 | 14024 | |
bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 393.10047
Autor: Erdös, Paul; Hall, R.R.
Title: On some unconventional problems... | 4 | [
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Taxi Cab Geometry Intro
Graphing Calculator 3.5 File for center A and radius d.
|x - a| + |y - b| = d
Graphing Calculator 3.5 File for center A through B
|x - a| + |y - b| = |g - a| + |h - b|
GSP File for center A through B
If A(a,b) is the origin (0,0), the ... | 4 | [
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Laplacian
Laplacian
From CFD-Wiki
(Difference between revisions)
VhlUvj (Talk | contribs) Jola (Talk | contribs)
m m
... | 4 | [
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Hamming Numbers
August 30, 2011
The sequence of Hamming numbers 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, … (A051037) consists of all numbers of the form 2^i·3^j·5^k where i, j and k are non-negative
integers. Edsger Dijkstra introduced this sequence to computer science in his book A Dis... | 5 | [
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0.06494140625,
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super infinity-groupoid
Context
Cohesive $\infty$-Toposes
Backround
Definition
Presentation over a site
Structures in a cohesive $(\infty,1)$-topos
structures in a cohesive (∞,1)-topos
Structures with infinitesimal cohesion
infinitesimal cohesion?
Models
Supergeometry
and
Formal context
Superalgebra
Super... | 4 | [
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Estimation for Proportions
Interval Estimation for Proportions (Margin of Error)
Interval estimation (margin of error) uses sample data to determine a range (interval) that, at an established level of confidence, will contain the population proportion.
Steps
Determine the confidence level (alpha is generally .05)
... | 4 | [
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Towards Superluminal Physics: Compromising Einstein's Special Relativity and Faster-Than-Light Particles
B.M. Birla Science Centre, Hyderabad, India
Abstract
Throughout the violation of momentum-velocity parallelism and deformation of the Einstein equivalence principle, the model of faster- than-light motion, wherei... | 4 | [
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Shadow Prices - Introduction to Operations Research - Lecture Slides
Shadow Prices - Introduction to Operations Research - Lecture Slides - Document's extract
Slides, Operations Research
Shadow Prices
max Z = ∑ c j x j
x j =1 n
a11 x1 + a12 x 2 + ... + a1n x n ≤ b1 a21 x 1 + a22 x 2 + ... + a2 n x n ≤ b2
... ... ...... | 4 | [
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Outer product of vectors in R^3
Outer product of vectors in R^3
Cross product definition:
The outer product is also called the cross product of vectors. The formal definition is as follows:
If vector x = (x1,x2,x3) and vector y = (y1,y2,y3) are vectors in R^3, then their outer product is denoted by x X y and is define... | 4 | [
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Methods of Proof — Contrapositive
In this post we’ll cover the second of the “basic four” methods of proof: the contrapositive implication. We will build off our material from last time and start by defining functions on sets.
Functions as Sets
So far we have become comfortable with the definition of a set, but the ... | 5 | [
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Linear motors: How to beat the heat
Linear motors are increasingly popular. One reason is that they give engineers more flexibility in machine design, especially in high-throughput, point-to-point and smooth velocity motion
applications. However, engineers should not overlook the affects of heat on these motors
If a l... | 4 | [
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categor
This page is quite speculative and especially welcomes contributions from readers. (A lot of its current content, especially the Knaster-Tarski theorem, is from discussions with Mathieu Dupont, who
arrived at the same speculation independently.) The details require the theory developed at 2-categorical logic, b... | 4 | [
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Correlation-based radio localization in an indoor environment
Abstract
We investigate the feasibility of using correlation-based methods for estimating the spatial location of distributed receiving nodes in an indoor environment. Our algorithms do not assume any
knowledge regarding the transmitter locations or the tra... | 4 | [
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linear logic
Context
Foundations
The basis of it all
Foundational axioms
• basic constructions:
• strong axioms
Removing axioms
$(0,1)$-Category theory
Monoidal categories
With symmetry
With duals for objects
With duals for morphisms
With traces
Closed structure
Special sorts of products
Semisimplici... | 4 | [
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... | 14,038 | 14038 | |
More on "Staggering Odds" - Visualizing Probabilities
Following my previous post, a few more things. As mentioned by Frédéric, it is – indeed – possible to compute the probability of all pairs. More precisely, all pairs are not as likely to occur: some
teams can play against (almost) eveyone, while others cannot. From... | 4 | [
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Iwasawa main conjectures vs Bloch-Kato conjectures
up vote 19 down vote favorite
15
Let $p$ be a prime, $K$ be a number field, $S$ a finite set of finite places of $K$ containing the set $S_p$ of places above $p$ and the places at infinity, $G:=G_{K,S}$ the Galois group of the
maximal extension of $K$ unramified outsi... | 4 | [
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Sinusoidal Functions
4.4 Sinusoidal Functions
What is a sinusoidal function?
A sinusoidal function is a function that is like a sine function in the sense that the function can be produced by shifting, stretching or compressing the sine function. If necessary you might like
to review the graphing shortcuts.
Exercise... | 4 | [
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Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: RE:LOGARITHM ALGORITHM
Replies: 0
RE:LOGARITHM... | 4 | [
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Laurent series
Context
Algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category presentations
Geometry on formal duals of algebras
Theorems
Contents
Idea
Laurent series generalize power series by allowing both positive and negative powers. In particular, Laurent series with complex coef... | 4 | [
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... | 14,043 | 14043 | |
Asymptotic problems for fourth-order nonlinear differential equations
Abstract
We study vanishing at infinity solutions of a fourth-order nonlinear differential equation. We state sufficient and/or necessary conditions for the existence of the positive solution on the half-line
which is vanishing at infinity and suff... | 5 | [
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Arithmetic Series - Concept
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Arithmetic Series - Concept 20,052 views
We often use the term direct variation to describe a form of dependence of one variable on another. An equation that makes a line and crosses... | 4 | [
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emialgebraic
Contents
Definition
Let $R$ be an ordered field. A semialgebraic set is a subset of a product space $R^n$ that is a Boolean combination of sets defined by polynomial inequalities:
$\{(x_1, \ldots, x_n) \in R^n: p(x_1, \ldots, x_n) \geq 0\}$
In other words, a semialgebraic set is a finite union of loci... | 4 | [
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Coherence for Solutions of the Master Equation
guest post by Arjun Jain
I am a master’s student in the physics department of the Indian Institute of Technology Roorkee. I’m originally from Delhi. Since some time now, I’ve been wanting to go into Mathematical Physics. I
hope to do a PhD in that. Apart from maths and p... | 5 | [
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Taylor's theorem
In calculus, Taylor's theorem, named after the mathematician Brook Taylor, who stated it in 1712, allows the approximation of a differentiable function near a point by a polynomial whose coefficients
depend only on the derivatives of the function at that point. The precise statement is as follows: If ... | 4 | [
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Posts about Play on ∑idiot's Blog
Last time (too long ago, sorry), I finally got around to talking about the function $\zeta(s)$. Today, I think I’d like to talk about $\log \zeta(s)$.
First, though, I should mention Euler’s product formula. The goal is to re-write the infinite series $\zeta(s)=\sum_n n^{-s}$ as a pro... | 4 | [
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connection on a smooth principal infinity-bundle
Context
$\infty$-Chern-Weil theory
Ingredients
Connection
Curvature
Theorems
Differential cohomology
Ingredients
Connections on bundles
Higher abelian differential cohomology
Higher nonabelian differential cohomology
Fiber integration
Application to gauge the... | 4 | [
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-0.00897... | 14,050 | 14050 | |
Gibbs Free Energy
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Gibbs Free Energy 11,388 views
Gibbs Free Energy is a concept invented to create a thermodynamic relationship between enthalpy and entropy. It is most frequently used with the equation gibbs f... | 4 | [
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Explicit expression of an alternating polynomial in characteristic $2$?
up vote 3 down vote favorite
2
Although the question is easy to pose, I think some background will help to motivate it, so I'll start with it.
Consider variables $X=(X_1, \ldots, X_n)$ over a field $K$ and the elementary symmetric functions $T=(T... | 4 | [
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A remark on Cohen's theorem
up vote 5 down vote favorite
It is well known as Cohen's theorem that a commutative ring is Noetherian if all its prime ideals are finitely generated. Is this statement true or false when prime ideals are replaced by maximal
ideals?
ac.commutative-algebra
3 Presumably it is not true or... | 5 | [
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locally cartesian closed category
Context
Category Theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Monoidal categories
With symmetry
With duals for objects
With duals for morphisms
With traces
Closed structure
Special sorts of products
Semisimplicity
Morphisms
Examples
Theorems... | 4 | [
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0.0361328125,
0.049316406... | 14,054 | 14054 | |
T
[ Uni Wien | Math Dep | Publications| Teaching| Contents| Home ]
Note: This combines some parts of two review articles. You can also view the full articles [Teschl01,KruegerTeschl09] or have a look at my book.
The simplest model of a solid is a c... | 4 | [
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infinity-cohesive site
Context
Cohesive $\infty$-Toposes
Backround
Definition
Presentation over a site
Structures in a cohesive $(\infty,1)$-topos
structures in a cohesive (∞,1)-topos
Structures with infinitesimal cohesion
infinitesimal cohesion?
Models
Contents
Idea
An $(\infty,1)$-cohesive site is a site ... | 4 | [
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0.06591796875... | 14,056 | 14056 | |
Recombination of Electrons Lesson
Lesson Topic:
Recombination of Electrons
Objective of Lesson:
To learn about recombination of electrons and holes in semiconductors.
Reading Assignment:
Sections 3.3.1, 3.3.2, 3.3.4
Discussion Questions:
1. What are the differences among the three mechanisms of recombination in... | 4 | [
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... | 14,057 | 14057 | |
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Math Forum » Discussions » Policy and News » geometry.ann... | 4 | [
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0.07470703125,
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What does the nilpotent cone represent?
up vote 7 down vote favorite
4
Notation
Let $\mathfrak g$ be a the Lie algebra of an algebraic group $G\subseteq GL(V)$ over a(n algebraically closed) field $k$ (I'm actually thinking $G=GL_n$, so $\mathfrak g=\mathfrak{gl}_n$). Then any
element $X$ of $\mathfrak g$ can be uniq... | 4 | [
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0.003173828125,
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0.0301513671... | 14,059 | 14059 | |
smooth manifold
Context
Higher geometry
Differential geometry
Manifolds and cobordisms
Contents
Idea
A smooth manifold is a space that is locally isomorphic to a Cartesian space $\mathbb{R}^n$ equipped with its canonical smooth structure.
Definition
Traditional definition
Traditionally, a smooth manifold is de... | 4 | [
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0.02685546875... | 14,060 | 14060 | |
Let f(x)=3x+1. Find each value.
1. (f^-1 `@` f)(5)
2. (f^-1 `@` f)(6) - Homework Help - eNotes.com
Let f(x)=3x+1. Find each value.
1. (f^-1 `@` f)(5)
2. (f^-1 `@` f)(6)
We have given
f(x)=3x+1
It is linear function so its inverse will exist.
`f^(-1)(x)=(x-1)/3`
`(f^(-1)o f)(x)=x`
`(f^(-1)o f)(5)=5`
`(f^(-1)o f... | 4 | [
-0.087890625,
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0.022705078125,
-0.033447265625,
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0.0615234375,
-0.122070312... | 14,061 | 14061 | |
White test for Heteroskedasticity
White test for Heteroskedasticity detection
One of important assumption of Regression is that the variance of Error Term is constant across observations. If the error have constant variance, then the errors are called homoscedastic, otherwise
heteroscedastic. In case of heteroscedast... | 4 | [
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Proof help
March 3rd 2007, 10:09 AM #1
Member
Joined
Mar 2007
From
England
Posts
104
Proof help
Let n be a positive integer:
1.Factorize n^5-n^3 (which I got to be n^2(n+1)(n-1)) and show that it's divisible by 24.
2. Prove that 2^2n is divisible by 3.
3. If n-1 is divisible by three, sho... | 4 | [
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Martingales and the Optional Stopping Theorem
This is a guest post by my colleague Adam Lelkes.
The goal of this primer is to introduce an important and beautiful tool from probability theory, a model of fair betting games called martingales. In this post I will assume that the reader is
familiar with the basics of p... | 5 | [
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-0.061279296875,
-0.056396... | 14,064 | 14064 | |
Differential transistor amplifiers
Question 1:
Don't just sit there! Build something!!
Learning to mathematically analyze circuits requires much study and practice. Typically, students practice by working through lots of sample problems and checking their answers against those provided
by the textbook or the instruc... | 5 | [
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Function Value Calculations
Name: Miriam T.
Status: student
Age: N/A
Location: N/A
Country: N/A
Date: 11/20/2004
Question: The actual value of the sine of an angle is given a value, on my calculat... | 4 | [
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-0... | 14,066 | 14066 | |
Posts about proof by contradiction on Math ∩ Programming
In this post we’ll expand our toolbox of proof techniques by adding the proof by contradiction. We’ll also expand on our knowledge of functions on sets, and tackle our first nontrivial theorem: that
there is more than one kind of infinity.
Impossibility and an E... | 5 | [
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0.00064849853... | 14,067 | 14067 | |
Meteor Angular Speeds
The American Meteor Society
How Fast is "Swift": An Exploration of Meteor Angular Speeds
... | 4 | [
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Partial Resolution for Sorli's Conjecture on Odd Perfect Numbers
Let N = (p^k)(m^2) be an Odd Perfect Number (OPN) with Euler prime p. Note that:
(1) p == k == 1 (mod 4); and (2) gcd(p, m) = 1
I also proved (in 2008, p. 111 [Theorem 4.2.5]) the following result:
(3) Sigma(p^k)/m^2 <= 2/3
(The proof begins with the fact... | 4 | [
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0.018798828125,
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0.02270... | 14,069 | 14069 | |
en
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SqueeSpleen Group Title
Finding a closed f... | 5 | [
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Existence and multiplicity of solutions for some second-order systems on time scales with impulsive effects
Abstract
In this paper, we present a recent approach via variational methods and critical point theory to obtain the existence of solutions for the nonautonomous second-order system on time scales with
impulsive... | 5 | [
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The Quest for the Cosmological Parameters - M. Plionis
1.3. Cosmological Parameters
Based on (7) we can define some very important parameters like the Critical Density, which is the density necessary to obtain a flat Universe (
and the Cosmological density parameter
Furthermore, the constant of proportionality in Hu... | 4 | [
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Solving Rational Equations with Like Denominators - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Solving Rational Equations with Like Denominators - Concept 9,193 views
Solving rational equations is substantially easier with like denominators. Whe... | 4 | [
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Eulerian Trail
Remember the puzzle your friends gave you when you were a kid "Traverse the graph without lifting your pencil" ? Had you known about the "Eulerian Trails" then, you could have dazzled your friends. A
more advanced version of the puzzle would be "Draw the longest trail on the graph without lifting your pe... | 4 | [
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Thomas Earl Ricks
Mathematics Education
Assig... | 4 | [
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Fundamental theorem of algebra
The
fundamental theorem of algebra
(now considered something of a misnomer by many mathematicians) states that every complex
polynomial
of degree
n
has exactly
n
zeroes, counted with multiplicity. More formally, if
(where the coefficients
a[0]
, ...,
a[n−1]
can be
real
or
... | 4 | [
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... | 14,076 | 14076 | |
Calculating Weight of Solids, Tubing & Circles
It is often necessary to compute the weight of a metal. Steel bar weights are based upon .2836 pounds per cubic inch.
To compute the weight of a round bar.
Pounds per lineal foot = 2.6729 x D^2
Pounds per lineal inch = .22274 x D^2
D = Diameter in inches
To compute the ... | 4 | [
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... | 14,077 | 14077 | |
Force and invariant mass
First thing that we must clearly understand that invariance of mass is a scientific reality only in restricted sense. We know that mass of a body depends on its speed and that the change is
significant at high speed. However if we exclude the change in mass of a body at high speed, then “given”... | 4 | [
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Cosmological Constant - The Weight of the Vacuum -
T. Padmanabhan
10.1. The connection between thermodynamics and spacetime geometry
The existence of one-way membranes, however, is not necessarily a feature of gravity or curved spacetime and can be induced even in flat Minkowski spacetime. It is possible to introduce ... | 4 | [
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Whitehead tower in an (infinity,1)-topos
Context
$(\infty,1)$-Topos theory
Background
Definitions
Characterization
Morphisms
Extra stuff, structure and property
Models
Constructions
structures in a cohesive (∞,1)-topos
Cohesive $\infty$-Toposes
Backround
Definition
Presentation over a site
Structures in a... | 4 | [
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0.015... | 14,080 | 14080 | |
GMAT Tip: Tackling Remainder Questions
The GMAT Tip of the Week is a weekly column that includes advice on taking the Graduate Management Admission Test, which is required for admission to most business schools. Every week an instructor
from a top test-prep company will share suggestions for improving your GMAT score. ... | 4 | [
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Orthogonal Groups over finite fields
up vote 7 down vote favorite
2
Hello
Let $\mathbb{F}_p$ be the finite field with $p$ elements. One can show that over finite fields, there are just two non-degenerate quadratic forms.
So here I want to pick any non-degenerate symmetric matrix $B$, and then look at the special ort... | 4 | [
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0.00... | 14,082 | 14082 | |
Download Excel Spreadsheets to Calculate Natural Convection Heat Transfer Coefficients
• Newton’s Law of Cooling for Forced and Natural Convection Heat Transfer
Convection heat transfer takes place when a fluid flows past a solid surface, with a difference in temperature between the fluid and the surface. If the... | 4 | [
-0.00115966796875,
-0.055908203125,
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-0.02685546875,
-0.000071525... | 14,083 | 14083 | |
Whole Number Dynamics II
Copyright © University of Cambridge. All rights reserved.
In the first article Whole Number Dynamics I , we started with the following problem:
Take any whole number $M$ between $1$ and $999$ inclusive and add the squares of the digits of $M$ to get a new number $N$
(for example, if $M =29$ ... | 5 | [
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0.04223632... | 14,084 | 14084 | |
isomorphismes
A perlmonk asked for a “custom random number generator”. This is a non-maths person’s word for a probability distribution.
It was a slightly unusual case, but not hard. After I’d finished several easy steps, though, the final formula looked like it had been scrivened by a wizard:
$\large \dpi{200} \bg_w... | 4 | [
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0.01043701171875,
0.020751953125,
-0.005462646484375,
-0.0449218... | 14,085 | 14085 | |
dy
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Connect with other students for help. It's a free community.
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Here's the question you clicked on:
shortie1515 Group Title
Translate this pro... | 4 | [
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0.030151367... | 14,086 | 14086 | |
Given The R & L Series Circuit In Figure 1, Calculate ... | Chegg.com
Given the R & L series circuit in Figure 1, calculate the total equivalent resistance, ZT ...
Given the R & L series circuit in Figure 1, calculate the total equivalent resistance, Z[T] , of the circuit at frequencies, f = 1 kHz, 2kHz and 3 kHz and... | 4 | [
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-0.06201171875... | 14,087 | 14087 | |
Polynomial Interpolation
Copyright © University of Cambridge. All rights reserved.
Steve wishes to draw a quadratic polynomial $y(x) = ax^2+bx+c$ through the three points $(x, y)=(1,4), (2, 5), (3, 7)$. He writes down this expression:
$$y(x) = 4\frac{(x-2)(x-3)}{(1-2)(1-3)}+5\frac{(x-1)(x-3)}{(2-1)(2-3)}+7\frac{(x-1)... | 4 | [
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dy
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UnkleRhaukus Group Title
\[\frac23\int\lim... | 5 | [
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0.0361328125,
... | 14,089 | 14089 | |
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iop360 Group Title
A large container has t... | 5 | [
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differential string structure
Context
String theory
Ingredients
Critical string models
Extended objects
Topological strings
Backgrounds
Phenomenology
Differential cohomology
Ingredients
Connections on bundles
Higher abelian differential cohomology
Higher nonabelian differential cohomology
Fiber integration... | 4 | [
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-0.01367... | 14,091 | 14091 | |
Heron's Formula
Introduction
Heron's formula for the area of a triangle with sides of length a, b, c is
where
It is unfortunate that this topic has essentially disappeared from school curriculum today. Calculation, given available calculations and computers, can no longer be a reason for avoiding th... | 4 | [
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0.0297851562... | 14,092 | 14092 | |
Proving Two Radical Expressions Are Equivalent
Date: 06/28/2005 at 18:28:00
From: Mike
Subject: equivalent square root expressions
When calculating the radius of a regular icosahedron given the length
of an edge, I calculated an answer involving radicals and to check it
I looked for confirmation on the internet. The... | 5 | [
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the
Category theory
Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them. It is half-jokingly known as "abstract nonsense".
See list of category theory topics for a breakdown of the relevant Wikipedia pages.
Background
A category attempts... | 4 | [
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codiscrete cofibration
Context
2-category theory
Definitions
Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
Contents
Idea
A 2-category is a good context for doing a lot of category theory (including internal category theory... | 4 | [
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C bitwise operator exercise - more like newb killer
I am native to various languages but bitwise operators just kill me. I see how much I take object oriented languages for granted. I like all the other c derivitives but ANSI C is making me loose
my hair....especially ANSI C's bitwise operators.....
For ref... | 5 | [
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... | 14,096 | 14096 | |
Patent US5050096 - Path cost computing neural network
TECHNICAL FIELD OF THE INVENTION
This invention relates to neural networks, and more particularly to neural networks and to neural network methods useful for solving problems involving global extremes representable by cost
functions.
BACKGROUND OF THE INVENTION
C... | 4 | [
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nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
There were a number of excellent solutions to this problem which revealed three basically different approaches that I think are all worth sharing. James of Audenshaw School offered the following
solution and commentary, which reflects the larg... | 5 | [
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Understanding limits in Set
Contents
Idea
On this page, we work work through several of the key examples of limits in the category Set. This is part of a bigger project: Understanding Constructions in Categories.
Recall that a limit, or universal cone, over a diagram $F:J\to Set$ is a cone $T$ over $J$ such that, gi... | 4 | [
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