content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A Method of the Precision Doppler Measurements of Transverse Velocities
Previous abstract Next abstract
Session 117 - Instrumentation and Techniques.
Oral session, Thursday, January 18
Salon del Rey North, Hilton
[117.06] A Method of the Precision Doppler Measurements of Transverse Velocities
L. M. Ozernoy (CSI/GM... | 4 | [
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Mechanics eBook: Strain Gages and Strain Rosette
MECHANICS - THEORY
Strain Gage Basics
It is not possible (currently) to measure stress directly in a structure. However, it is possible to measure strain since it is based on d... | 4 | [
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p-power roots of unity in local fields
up vote 5 down vote favorite
1
Let K be a number field and suppose K contains no p-power roots of unity. Let P be a prime of K above the rational prime p. Can someone prove or disprove the assertion that the local field K_P will
contain no p-power roots of unity?
nt.number-theor... | 5 | [
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The Schrödinger equation
If the electron in an atom of hydrogen is a standing wave, as de Broglie had assumed, why should it be confined to a circle? After the insight that particles can behave like waves, which came ten
years after Bohr’s quantization postulate, it took less than three years for the full-f... | 4 | [
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Does there exist an order in a number field of deg>1 with a map to F_p for all p?
up vote 4 down vote favorite
1
This question is motivated by a computational issue. Suppose $R$ is a product of orders in numberfields such that there is no ring homomorphism $R \to \mathbb Z$, then can one write an algorithm that
actual... | 4 | [
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dy
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ganeshie8 Group Title
...
• one year ag... | 4 | [
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.
B.5. TIME DELAYS
Nothing compares to the measurement of the Hubble constant in bringing out the worst in astronomers. As we discussed in the previous section on lens modeling, many discussions of lens models seem
obfuscatory rather than illuminating, and the tendency in this direction increases when the models are ... | 4 | [
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Solving equations
Command disabled: backlink
Table of Contents
Solving equations
Numerous Java packages can be used to solve linear, non-linear and differential equations.
Solving linear, quadratic and cubic equations
To solve linear, quadratic and cubic equations, use the jhplot.math.Numeric package. In general, ... | 5 | [
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Weekly Challenge 6: AP Train
Copyright © University of Cambridge. All rights reserved.
'Weekly Challenge 6: AP Train' printed from http://nrich.maths.org/
This problem is based on the formula for the sum of the first $n$ natural numbers
$$
1+2+\dots + (n-1) + n =\frac{1}{2}n(n+1)
$$
We have
Its easier in a problem l... | 5 | [
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Are fundamental groups of aspherical manifolds Hopfian?
up vote 19 down vote favorite
9
A group $G$ is Hopfian if every epimorphism $G\to G$ is an isomorphism. A smooth manifold is aspherical if its universal cover is contractible. Are all fundamental groups of aspherical closed smooth
manifolds Hopfian?
Perhaps the ... | 4 | [
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cleft extension
Let $H$ be a Hopf algebra, a right $H$-comodule algebra $E$ is an $H$-extension of a subalgebra $U\subset E$ if $U=E^{co H}$ is precisely the subalgebra of $H$-coinvariants. The $H$-extension $U\
subset E$ is cleft if there exist a convolution-invertible $H$-comodule map $\gamma:H\to E$.
If $U\hookrigh... | 4 | [
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Global existence and asymptotic behavior of classical solutions to Goursat problem for diagonalizable quasilinear hyperbolic system
Abstract
In this article, we investigate the global existence and asymptotic behavior of classical solutions to Goursat problem for diagonalizable quasilinear hyperbolic system. Under the... | 4 | [
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Proving continuity of function
June 16th 2010, 11:29 AM #1
Member
Joined
Aug 2009
Posts
130
Proving continuity of function
I would just like someone to check this proof for me. I am just learning this material so I would like to make sure I am doing the proofs properly.
Question: Show that if $A \su... | 5 | [
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geometric quantization of symplectic groupoids
under construction
Context
Symplectic geometry
Background
Basic concepts
Classical mechanics and quantization
$\infty$-Lie theory
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Hom... | 4 | [
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Infinite Limits; Vertical Asymptotes - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Infinite Limits; Vertical Asymptotes - Concept 19,081 views
When a Calculus limit decreases or increases without bound near certain values for the independent vari... | 4 | [
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Chain Rule: The General Exponential Rule - Concept
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Chain Rule: The General Exponential Rule - Concept 9,695 views
The exponential rule is a special case of the chain rule. It is useful when finding the derivati... | 5 | [
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special unitary group
Context
Group Theory
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Contents
Idea
The special unitary group is the subgroup of the unitary group on the elements with determinant equal to 1.
For $n$ a ... | 4 | [
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Algebraic/Categorical motivation for the Chevalley Eilenberg Complex
up vote 6 down vote favorite
2
Is there a purely algebraic or categorical way to introduce the Chevalley-Eilenberg complex in the definition of Lie algebra cohomology?
In group cohomology, for example, the bar resolution of a group is equal to the c... | 4 | [
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Binary to Hexadecimal
Date: 12/08/98 at 11:15:11
From: Ian hamilton
Subject: number base conversions
I am a mature student on a computing HND. We have just gone through
the followung question in class, but I am still clueless. Convert
110000001101 from base two to hexadecimal.
Please help.
Date: 12/08/98 at 12:48... | 4 | [
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Cosmological Dynamics - E. Bertschinger
3.3. Nonrelativistic evolution in an external gravitational field
In this section we consider hot dark matter made of nonrelativistic massive neutrinos with [] << x,
We can solve the Vlasov equation (3.9) approximately by replacing f / p with the unperturbed term f[0] / p. This... | 4 | [
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Union of a object (a set) in the Elementary Theory of the Category of Sets
up vote 4 down vote favorite
6
I see the Todd Trimble article "Elementary Theory of the Category of Sets" on catlab.
I ask: how make (in the categorical setting) the usual union of a set $\cup X=${$y |\exists x\in X: y\in x$}?
This object is ... | 4 | [
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Fractional Exponents
8.4: Fractional Exponents
Difficulty Level: Basic Created by: CK-12
Practice Fractional Exponents
Suppose you want to find the cube root of a number, but your calculator only allows you to find square roots. However, it does allow you to find a number raised to any power, including non-integer
p... | 4 | [
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When is taking an average (mean) an algebraic operation in the sense of monads?
up vote 4 down vote favorite
2
Taking the average of a sequence of numbers is not an "algebraic" operation, in the following sense. Given sequences $X_1,X_2,\ldots,X_n$ of numbers, one could either take the average of each one,
and then av... | 4 | [
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isomorphismes
Oh! This one only took me 17 years or so to figure out. This was a “fact” I had committed to memory in school but never thought about why.
From The Symplectization of Science by Mark Gotay and James Isenberg:
There are some connections to circles and homogeneous coordinates (v/‖v‖) but let’s leave th... | 4 | [
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Math Forum Discussions
Re: Units in algebraic integers
Posted: Sep 27, 2004 7:45 PM
akolowski@hotmail.com (Andrzej Kolowski) wrote in message news:<200409270403.i8R43fY08660@proapp.mathforum.org>...
> On 26 Sep 2004, James Harris wrote:
> >I've given the example of
> >
> >x^2 + (2s_1 + 3s_2... | 5 | [
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Defining Independent Events
Date: 07/14/2009 at 18:03:55
From: Amy
Subject: Independent events
My book defines independence in the following way...
Two events E and F are independent if P(E|F) = P(E). My question is,
do we also have to have P(F|E) = P(F)? Or does this automatically
follow? Is there any situation ... | 5 | [
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Bedtime mathematics
Last year I worked on a interesting problem which asks about the possibility of partitioning a convex set in a plane in to ${n}$ internally disjoint convex pieces of equal area and perimeter. The
problem has since been proved when ${n}$ is a prime power, by Aronov and Hubard and Roman Karasev for al... | 4 | [
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Negative Binomial Regression
More About This Book
Overview
At last - a book devoted to the negative binomial model and its many variations. Every model currently offered in commercial statistical software packages is discussed in detail - how each is
derived, how each resolves a distributional problem, and numerous e... | 4 | [
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... | 12,927 | 12927 | |
dy
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Here's the question you clicked on:
gjhfdfg Group Title
Find a rational zero o... | 4 | [
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0.01416015625,
-0.003387451171875,
-0.0230712890625,
-0.02685546875,
0.041748046875,
-0.087890625,
0.041748046875,
0.10009765625,
0.0010986328125,
0.0205078125,
-0.06591796875,
-0.03173828125... | 12,928 | 12928 | |
Arithmetic sequence
Before talking about arithmetic sequence, in math, a sequence is a set of numbers that follow a pattern. We call each number in the sequence a term.
For examples, the following are sequences:
1, 4, 7, 10, 13, 16, 19, .......
70, 62, 54, 48, 40, ...............
An arithmetic sequence is a seque... | 4 | [
-0.0908203125,
0.0274658203125,
-0.01025390625,
-0.0595703125,
-0.0267333984375,
0.05615234375,
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0.046142578125,
0.01220703125,
-0.00762939453125,
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0.0302734375,
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-0.01043701171875,
-0.01556396484375,
-0.0341796875,
-0.091796875,
0.069... | 12,929 | 12929 | |
Proofs That PI is Irrational
The first proof of the irrationality of PI was found by Lambert in
1770 and published by Legendre in his "Elements de Geometrie". A
simpler proof, essentially due to Mary Cartwright, goes like this:
For any integer n and real number r we can define a quantity A[n] by
the definite integra... | 5 | [
-0.06396484375,
-0.01123046875,
0.0084228515625,
0.09326171875,
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0.008544921875,
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-0.0115966796875,
-0.033691... | 12,930 | 12930 | |
An Alphanumeric
Copyright © University of Cambridge. All rights reserved.
Freddie Manners, of Packwood Haugh School in Shropshire, has e-mailed us about the problem "Cayley" from the February 2001 magazine. He has noticed that we had given more information than was needed
to solve the problem. He is absolutely right: ... | 4 | [
-0.046630859375,
0.0390625,
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-0.0234375,
-0.072265625,
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0.0089111328125,
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0.07666015625,
-0.048828125,
-0.064453125,
-0.103515625,
0.0517578125,
... | 12,931 | 12931 | |
R Library: Introduction to bootstrapping
The programs
The R program (as a text file) for the code on this page.
In order to see more than just the results from the computations of the functions (i.e. if you want to see the functions echoed back in console as they are processed) use the echo=T option in the
... | 5 | [
-0.09619140625,
0.020751953125,
-0.061767578125,
0.07177734375,
0.046142578125,
-0.080078125,
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0.10302734375,
-0.06787109375,
0.017822265625,
-0.033447265625,
0.047607421875,
0.04345703125,
-0.06298828125,
-0.0022125244140625,
-0.123046875,
-0.036376953125,
0.0065917... | 12,932 | 12932 | |
elliptic curve
Context
Complex geometry
Arithmetic geometry
Elliptic cohomology
Contents
Idea
Classically in complex geometry, an elliptic curve is a connected Riemann surface (a connected compact 1-dimensional complex manifold) of genus 1, hence it is a torus equipped with the structure of a
complex manifold, or... | 4 | [
-0.0419921875,
0.0155029296875,
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0.03466796875,
0.126953125,
-0.07568359375,
0.0693359375,
0.015625,
-0.050537109375,
-0.047607421875,
0.02978515625,
-0.0849609375,
-0.11376953125,
0.009033203125,
0.002... | 12,933 | 12933 | |
Homework Help
Posted by Marissa on Tuesday, August 21, 2007 at 11:20pm.
1)The area A of a triangle varies jointly as the lengths of its base b and height h. If A is 75 when b=15 and h=10,find A when b=8 and h=6
2)Determine the equation of any vertical asymtotes of the graph of f(x)=2x+3/x^2+2x-3
1)
Area of a triang... | 4 | [
-0.007232666015625,
0.06591796875,
0.0164794921875,
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0.107421875,
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0.0279541015625,
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0.019287109375,
0.06640625,
0.1416015625,
-0.020263671875,
-0.048828125,
... | 12,934 | 12934 | |
Braingle: 'A Series of Headaches' Brain Teaser
A Series of Headaches
Logic puzzles require you to think. You will have to be logical in your reasoning.
Puzzle ID: #49982
Fun:
Difficulty:
Category: Logic
Submitted By: eighsse
Tweet
The Detroit Tigers played the Cincinnati Reds in the World Series (Maj... | 4 | [
0.022216796875,
0.01513671875,
-0.0537109375,
-0.01397705078125,
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0.06787109375,
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0.042236328125,
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0.004150390625,
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-0.00885009765625,
-0.09326171875,
... | 12,935 | 12935 | |
LOG ODDS RATIO
Dataplot Vol 1 Auxiliary Chapter
LOG ODDS RATIO
Name:
Type:
Purpose:
Compute the bias corrected log odds ratio between two binary variables.
Description:
Given two variables where each variable has exactly two possible outcomes (typically defined as success and failure), we define the od... | 4 | [
-0.01495361328125,
0.01104736328125,
0.0069580078125,
0.0098876953125,
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0.010986328125,
0.0235595703125,
-0.04150390625,
0.05322265625,
-0.0186767578125,
-0.0247802734375,
-0.00... | 12,936 | 12936 | |
Sierpinski Triangle
Copyright © University of Cambridge. All rights reserved.
'Sierpinski Triangle' printed from http://nrich.maths.org/
The diagram shows the first three shapes in a sequence that goes on for ever and, in the limit, gives the Sierpinski triangle.
How many red triangles are there at Stage $n$? If the... | 4 | [
-0.0079345703125,
-0.0189208984375,
-0.00701904296875,
0.036376953125,
-0.043701171875,
-0.0341796875,
-0.0172119140625,
0.0311279296875,
0.0546875,
-0.07275390625,
-0.07373046875,
-0.00018405914306640625,
-0.0673828125,
0.006439208984375,
0.0031585693359375,
-0.01129150390625,
-0.01... | 12,937 | 12937 | |
Graphing Linear Equations
Introduction:
We have already discussed about the various methods of solving linear equations in two variables. Let us discuss with graphing systems of linear equations in two variables. We shall also discuss
solving systems of linear equations by graphing. By learning the ... | 4 | [
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0.06201171875,
-0.126953125,
-0.0341796875,
... | 12,938 | 12938 | |
Steiner tree methods for optimal sub-network identification: an empirical study
Abstract
Background
Analysis and interpretation of biological networks is one of the primary goals of systems biology. In this context identification of sub-networks connecting sets of seed proteins or seed genes plays
a crucial role. Giv... | 4 | [
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0.054443359375,
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0.072265625,
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... | 12,939 | 12939 | |
Borel Sets on $\mathbb{R}^n$
up vote 0 down vote favorite
Define the Borel sigma-algebra on $\mathbb{R}^n$ as the smallest sigma-algebra containing all $n$-rectangles $(a_1, b_1) \times \cdots \times (a_n, b_n)$.
Is it true that the Borel sigma algebra contains all sets of the form $A_1 \times \cdots \times A_n$, whe... | 5 | [
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... | 12,940 | 12940 | |
Stochastic ant colony model | Physics of Risk
Stochastic ant colony model
Previously on Physics of Risk website we have presented Kirman’s ant colony agent based model [1], where each ant was represented as an agent. In this article we will move from the agent based model
framework to the stochastic differential eq... | 4 | [
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-0.032470703125,
-0.0517... | 12,941 | 12941 | |
Inductance13
Inductors and Faraday's Law
We start by contemplating magnetism: there are two sources for magnetism. Ferromagnetic materials and current flowing through a wire, particularly in the shape of a solenoid. And the current can be
of two sorts: AC or DC. Below shows the equation that allows you to compute the ... | 4 | [
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0.0133056640625,
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0.02099609375,
0.0101318359375,
-0.00811767578125,
0.0279541015625,
0.103515625,
-0.10693359375,
0.051513671875... | 12,942 | 12942 | |
The Cave of Dragonflies
Gen I Capture Mechanics
Special thanks to a_magical_me, who started analyzing the algorithm, let me use his notes and then provided me with an assembly dump to pick up where he left off. The hacking genius is mostly his.
If you were an avid player of Red, Blue and Yellow, you may have read the... | 4 | [
-0.0712890625,
0.031494140625,
0.041015625,
-0.047119140625,
0.052001953125,
-0.01275634765625,
0.0245361328125,
-0.0277099609375,
-0.016845703125,
-0.00116729736328125,
-0.07080078125,
0.008544921875,
-0.005584716796875,
-0.0034637451171875,
0.00156402587890625,
0.044189453125,
0.03... | 12,943 | 12943 | |
my slice of pizza
Puzzle Undone
I had a great time when Michael Rabin visited for the past few months. As he was leaving, he said "I did not get to hear a good puzzle", and I am ashamed. It has indeed been a dry season. Anyway,
here is a setting.
n
people go to dine at an Ethiopian restaurant, are seated on a circle... | 4 | [
0.000659942626953125,
0.060791015625,
0.005615234375,
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0.044921875,
-0.005950927734375,
0.0159912109375,
0.061279296875,
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-0.0218505859375,
-0.0301513671875,
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0.07177734375,
... | 12,944 | 12944 | |
Plotting Magnetization Curves
Here is a circuit you can use to measure the B -H characteristics of a ferromagnetic component.
It works best with ring cores (toroids) but should be usable with other shapes having a closed magnetic path. The circuit, as shown, will plot the hysteresis loop for a half-inch diameter, hig... | 5 | [
0.004364013671875,
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-0.002227783203125,
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-0.03857421875,
0.08154296875,
-0.0595703125,
-0.0869140625,
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0.0703125,
0.039794921875,
-0.07861328125,
0.08447265625,
-0.09423828125,
0.017... | 12,945 | 12945 | |
localization
Idea
Descent for the abelian categories may be given in two standard ways: one by using transition functors, and another to pack all the transition functors in a single comonad. We shall deal here with a
family of flat localizations which are jointly a conservative family (cover by flat localization). If... | 4 | [
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0.0546875,
0.000736236572265625,
... | 12,946 | 12946 | |
Set
Talk6
871pages on
this wiki
A set is a collection of distinct,symbols unordered objects. Sets are typically collections of numbers, though a set may contain any type of data (including other sets).The objects in a set are
called the members of the set or the elements of the set.
A set should satisfy the followi... | 4 | [
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-0.016845703125,
-0.06640625,
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0.029296875,
-0.06298828125,
-0.036865234375,
-0.038... | 12,947 | 12947 | |
MOSFET Current Limit
Description
This circuit provides a current-limited DC output voltage. As shown, the circuit limits the output current to a maximum of 1.2A and includes a visual indicator of a current-limit condition. During
normal operation (i.e., load current is less than the limit value) the MOSFET should be ... | 4 | [
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0.0216064453125,
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0.07373046875,
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0.09423828125,
-0.00225830078125,
0.045898... | 12,948 | 12948 | |
Is this an embedding of $S^{[2]}$?
up vote 1 down vote favorite
The intersection of 3 quadrics in $P^5$ is a K3 surface $S$. There is a natural map $S^{[2]} \to G(1,5)$ well defined everywhere, because a generic K3 doesn't contain any line and this family is
maximal. This is moreover injective, because a line can meet... | 5 | [
-0.0311279296875,
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-0.029296875,
... | 12,949 | 12949 | |
action groupoid
Context
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Representation theory
Contents
Idea
Given an action $\rho$ of a group $G$ on a set $S$, the action groupoid $S//G$ is a bit like the quotient set $S/G$ (the set of $G$-orbits). But, instead ... | 4 | [
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0.034423828125,
-0.052978515625,
0.03759765625,
0.06396484375... | 12,950 | 12950 | |
Unusual Simultaneous Equations
Date: 02/06/2003 at 15:01:43
From: Khursheed
Subject: Solving an Equation
I don't know how to solve this. I have
A = a*(b+c)/(a+b+c)
B = b*(a+c)/(a+b+c)
C = c*(a+b)/(a+b+c)
A, B, and C are known. I don't know how to solve for a, b, and c.
I just need a little direction. I tried to pu... | 5 | [
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0.044677734375,
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0.0250244140625,
0.006195068359375,
0.09326171875,
-0.09716796875,
0.0781... | 12,951 | 12951 | |
Invariant Vector Fields for Homogenous Spaces
up vote 6 down vote favorite
1
As we all know, the space of invariant vector fields on a Lie group can be identified with the tangent space at the identity (or any other point for that matter). My question is: How does this
generalize to homogeneous spaces? My guess would ... | 4 | [
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-0.078125,
0.08691406... | 12,952 | 12952 | |
Valence atom with bohmian quantum potential: the golden ratio approach
Abstract
Background
The alternative quantum mechanical description of total energy given by Bohmian theory was merged with the concept of the golden ratio and its appearance as the Heisenberg imbalance to provide a new
density-based description of... | 4 | [
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0.0233154296875,
0.01385498046875,
0.0220947265625,
-0.070800... | 12,953 | 12953 | |
GMAT Tip: A Tricky Probability Question
This tip on improving your GMAT score was provided by Brian Galvin at Veritas Prep.
For many GMAT test-takers, probability looms as one of the more daunting concepts on the exam. While the majority of the skills tested on the GMAT—particularly arithmetic, algebra, and geometry—a... | 4 | [
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0.0267333984375,
-0.01324462890625,
-0.043701171875,
-0... | 12,954 | 12954 | |
∞-quantity
Idea
The duality of space and quantity is usefully refined to a higher category theoretical context:
while the idea of ∞-space is well established in terms of the notion of ∞-stack, under an $\infty$-quantity we here understand the corresponding dual notion.
As
so
• an $\infty$-quantity is modeled as ... | 4 | [
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0.0025177001953125,
0.044189453125,
-0.003692626953125,
0.083984375,
0.00212... | 12,955 | 12955 | |
ixed
Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 018909, 10 pages
doi:10.1155/FPTA/2006/18909
Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
^1Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia... | 4 | [
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0.0625,
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-0.015380859375,
-0.024169921875,
0.023193359375,
-0.078125,
0.0... | 12,956 | 12956 | |
Observing Fundamentals
Here you will find explanations of the terms used elsewhere
Angles
Angles are used to measure the difference in two directions, or apparent distances on the celestial sphere. The usual unit is the degree, 1/360 of a circle. 90° is a right angle. Angles may also be
measured in time units, with ... | 4 | [
0.01318359375,
0.0028228759765625,
0.004119873046875,
-0.0213623046875,
0.033935546875,
-0.032470703125,
-0.103515625,
0.036865234375,
0.13671875,
-0.030517578125,
-0.007476806640625,
-0.0279541015625,
0.0032806396484375,
-0.023193359375,
0.005126953125,
-0.12451171875,
0.02941894531... | 12,957 | 12957 | |
Polynomial of degree N with integer coefficient for a given root.
up vote 0 down vote favorite
Is it possible to construct a polynomial of degree N, with all of them as integer coefficient have a root as the given value. The root value provided is not necessarily a rational number.
For example, if the root is 28.5526... | 5 | [
-0.017578125,
0.025146484375,
-0.1083984375,
-0.007415771484375,
-0.076171875,
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0.0380859375,
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0.0927734375,
0.0048828125,
0.0172119140625,
-0.11669921875,
0.03686523437... | 12,958 | 12958 | |
Approximation Schemes for convective term - structured grids
From CFD-Wiki
When we shall fill this page, I offer to make common identifications, because in different issues was used different notation.
Also I beg everybody to help me with original works. Later I shall write, what is necessary. If anyone have literat... | 4 | [
-0.06494140625,
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0.03125,
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0.0255126953125,
0.0113525390625,
-0.06591796875,
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0.029296875,
... | 12,959 | 12959 | |
standard Courant algebroid
Contents
Idea
A standard Courant Lie algebroid of a manifold $X$ is a type of Courant algebroid constructed from the tangent bundle and cotangent bundle of $X$. This is the principal algebraic structure studied in
generalized complex geometry.
Definition
Recall from the discussion at Cour... | 4 | [
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0.03662109375,
0.037353515625,
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0.03466796875,
-0.02685546875,
-0.00717163... | 12,960 | 12960 | |
principles of physical science :: Diffusion
principles of physical science
Article Free Pass
A dissolved molecule or a small particle suspended in a fluid is constantly struck at random by molecules of the fluid in its neighbourhood, as a result of which it wanders erratically. This is
called Brownian motion in the c... | 4 | [
0.000507354736328125,
-0.123046875,
0.05712890625,
0.0634765625,
0.044921875,
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0.02685546875,
-0.0673828125,
-0.060546875,
-0.0228271484375,
-0.020263... | 12,961 | 12961 | |
Does Zariski's Main Theorem come with a canonical factorization?
up vote 17 down vote favorite
6
Zariski's Main Theorem (EGA IV, Thm 8.12.6): Suppose $Y$ is a quasi-compact and quasi-separated scheme, and $f:X\to Y$ is quasi-finite, separated, and finitely presented. Then $f$ factors as $X\
xrightarrow{g} Z\xr... | 4 | [
0.0361328125,
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0.038085... | 12,962 | 12962 | |
2-categor
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
Higher category theory
Basic concepts
Basic theorems
Applications
Models
Morphisms
Functors
Universal constructions
Extra... | 4 | [
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0.0233154296875,
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-0.0031280517578125,
0.05126953125,
0.0... | 12,963 | 12963 | |
Computer Science Seminars and Short Courses — 2004/05
You main need this to find your way...
• The room is likely to be BEN LT5, which is in the Bennet building and quite straightforward to find; however...
• If the room is "Ken Edwards LT3" be aware that the entrance is hidden on the left hand side when you walk... | 4 | [
-0.03271484375,
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0.039794921875,
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-0.0198974609375,
0.02197265625,
-0... | 12,964 | 12964 | |
Multiple scattering in the Compton effect
DuMond, Jesse W. M. (1930) Multiple scattering in the Compton effect. Physical Review, 36 (12). pp. 1685-1701. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:DUMpr30e
PDF
See Usage Policy.
1740Kb
Use this Persistent URL to link to this item: http://resolver.... | 4 | [
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0.0791015625,
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0.042... | 12,965 | 12965 | |
Graphing Rational Functions, n=m - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Graphing Rational Functions, n=m - Concept 8,233 views
There are different characteristics to look for when creating rational function graphs. With rational function g... | 4 | [
-0.0186767578125,
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0.041015625,
0.0065917... | 12,966 | 12966 | |
Can any one please help with this Euler's function question ?
August 18th 2010, 02:38 AM #1
Newbie
Joined
Aug 2010
Posts
13
Can any one please help with this Euler's function question ?
Determine all integers n for which Euler's function (phi) = n/2?
Can anyone please help me, I'm really not su... | 5 | [
-0.00927734375,
-0.001220703125,
0.0751953125,
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0.0240478515625,
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0.041748046875,
-0.058837... | 12,967 | 12967 | |
Truncated Dirichlet series take their supremum on the imaginary axis
up vote 0 down vote favorite
1
Hi there, I am struggling with a theorem about truncated Dirichlet series. I am trying to prove the following theorem:
Let $(a_n)_n \subset \mathbb{C}$ and $N \in \mathbb{N}$. Then $\sup_{t \in \mathbb{R}} \vert \sum_{... | 4 | [
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... | 12,968 | 12968 | |
A simple maximality principle
• J. D. Hamkins, “A simple maximality principle,” J. symbolic logic, vol. 68, iss. 2, pp. 527-550, 2003.
@article{Hamkins2003:MaximalityPrinciple,
AUTHOR = {Hamkins, Joel David},
TITLE = {A simple maximality principle},
JOURNAL = {J. Symbolic Logic},
FJOURNAL = {The... | 4 | [
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... | 12,969 | 12969 | |
The Saas Fee Lectures on Strong Gravitational Lensing -
C.S. Kochanek
B.4.6. Model Fitting and the Mass Distribution of Lenses
Having outlined (in perhaps excruciating detail) how lenses constrain the mass distribution, we turn to the problem of actually fitting data. These days the simplest approach for a casual user... | 4 | [
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0.0234375,
-0.0537109375,
-0.09521484375,
0.003692626953125,
... | 12,970 | 12970 | |
sequentially compact space
**
topology
**
algebraic topology
## Basic concepts *
space
*
locale
*
topological space
*
continuous map
*
homeomorphism
*
Top
*
nice topological space
*
nice category of spaces
*
convenient category of topological spaces
* **
homotopy theory
** *
homotopy group
*
... | 4 | [
-0.0634765625,
-0.03955078125,
-0.044189453125,
0.035400390625,
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0.00958251953125,
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0.02087402... | 12,971 | 12971 | |
How Many Solutions?
Copyright © University of Cambridge. All rights reserved.
'How Many Solutions?' printed from http://nrich.maths.org/
This is a 'quickie'. Ling Xiang Ning of Raffles Institution in Singapore, found two solutions, and after trying some more values of x, decided that there would be no more because:
... | 5 | [
0.04296875,
-0.09228515625,
0.01226806640625,
0.055419921875,
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0.01287841796875,
0.00823974609375,
0.022705078125,
0.072265625,
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0.07080078125,
0.08251953125,
0.080078125,
-0.06689453125,
-0.10009765625... | 12,972 | 12972 | |
.
3. HOT DARK MATTER
The previous lecture studied the evolution of an ideal collisional gas including gravity and pressure. A gas of neutrinos, or of collisionless dark matter particles, behaves differently. In this
lecture we investigate the evolution of a nonrelativistic collisionless gas whose particles have signi... | 4 | [
-0.0517578125,
-0.03515625,
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0.10888671875,
0.001739501953125,
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-0.0289306640625,
0.0174560546875,
-0.05078125,
0.1552734375,
-0.014404296... | 12,973 | 12973 | |
Equivalence of two definitions of sheaves on a site
up vote 2 down vote favorite
1
I'd like to prove that two definitions of sheaves on a site are equivalent, but I'm having trouble proving one direction.
Let $C$ be a category with pullbacks. Let $(C,T)$ be a site defined through a collection $\Phi$ of covering famil... | 4 | [
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0.0634765625,
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0.07568359375,
-0.0830078125,
0.0289306640625,
-0.0308837890625,
-0.0... | 12,974 | 12974 | |
Bode' Plots
Why Bode' Plots?
What are Bode' Plots?
First Order Systems
Decibels
Bode' Plots for
Second Order Systems
Bode Plots for Larger Systems (Examples)
You are at: Basic Concepts - System Models - Frequency Response - Bode' Plots
Click he... | 5 | [
-0.02294921875,
-0.04248046875,
-0.00634765625,
0.00170135498046875,
0.00860595703125,
-0.0732421875,
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0.00958251953125,
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-0.018310546875,
-0.0576171875,
0.01080322265625,
-0.07275390625,
0.056884765625... | 12,975 | 12975 | |
~x + ~y == ~(x + y) is always false?
up vote 148 down vote favorite
32
Does this code always evaluate to false? Both variables are two's complement signed ints.
~x + ~y == ~(x + y)
I feel like there should be some number that satisfies the conditions. I tried testing the numbers between -5000 and 5000 but never achi... | 5 | [
-0.04150390625,
0.0303955078125,
0.0269775390625,
-0.044189453125,
0.0111083984375,
-0.038330078125,
0.06396484375,
-0.0234375,
-0.08642578125,
0.012451171875,
0.038330078125,
0.0032501220703125,
0.0400390625,
0.0634765625,
0.060302734375,
0.04638671875,
-0.0380859375,
0.0251464843... | 12,976 | 12976 | |
Cálculo Integral ITPA
In this section we will formally define the definite integral and give many of the properties of definite integrals. Let’s start off with the definition of a definite integral.
Definite Integral
┌───────────────────────────────────────────────────────────────────────────────────────────────────... | 5 | [
0.01171875,
-0.000621795654296875,
-0.01611328125,
-0.049560546875,
0.009765625,
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0.038330078125,
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0.04638671875,
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0.06787109375,
-0.0172119140625,
-0.052734375,
-0.036376953125,
-... | 12,977 | 12977 | |
Degree Distributions in Sexual Networks: A Framework for Eva... : Sexually Transmitted Diseases
THE RAPID BUT UNEVEN GLOBAL spread of human immunodeficiency virus (HIV) has challenged researchers to better understand sexually transmitted infection (STI) transmission dynamics and their
implications for prevention. The b... | 4 | [
-0.01953125,
0.032958984375,
-0.03271484375,
0.03466796875,
0.010009765625,
0.01519775390625,
-0.0032501220703125,
0.0869140625,
0.08837890625,
0.049560546875,
0.0732421875,
-0.00933837890625,
0.0693359375,
0.02392578125,
-0.00921630859375,
-0.033447265625,
-0.007049560546875,
-0.0... | 12,978 | 12978 | |
Pullbacks and Inclusions of Smooth function algebras of manifolds.
up vote 1 down vote favorite
2
Let $M$ and $N$ be two smooth finite dimensional manifolds and $C^\infty(M)$ as well as $C^\infty(N)$ their smooth function algebras.
Is the following true:
Let $\imath: M \to N$ be an embedding. Then the algebra morphi... | 5 | [
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-0.029296875,
0.016845703125,
0.036865234375,
-0.05126953125,
0.1171875,
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0.062255859375,
-0.05322265625,
-0.07421875,
0.0791015625,
-0.0089111328125,
0.01275634765625,
-0.0244140625,
0.024169921875,
0.0712890625,
-0.019775390625,
0.08203125,
-0.0... | 12,979 | 12979 | |
Litov's Mean Value Theorem
Copyright © University of Cambridge. All rights reserved.
Well done to Ken from Blessed Robert Johnson Catholic School who sent us his solution to this problem:
After a while of playing with the numbers on a spreadsheet I have discovered that the formula to find the "limiting value" for $2$... | 5 | [
-0.09033203125,
-0.0771484375,
-0.07470703125,
-0.07373046875,
-0.0191650390625,
0.050048828125,
-0.0361328125,
0.0010528564453125,
0.014892578125,
0.020751953125,
-0.0556640625,
0.0179443359375,
-0.01611328125,
0.033447265625,
0.02490234375,
0.00457763671875,
-0.0172119140625,
-0.... | 12,980 | 12980 | |
Power of a Product: Under What Conditions Do You Use This Rule?
When to Use the Power of a Product Rule
Definition: (xy)^a = x^ay^b
When this works:
• Condition 1. Two or more variables or constants are being multiplied.
(xy)^a
• Condition 2. The product, or the result of the multiplication, is raised to a pow... | 4 | [
-0.002655029296875,
-0.002685546875,
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0.0230712890625,
0.011962890625,
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0.0260009765625,
-0.08349609375,
0.025390625,
0.06201171875,
0.025634765625,
0.050537109375,
0.053466796875,
0.0242919921875,
0.1083984375,
0.1298828125,
-0.138671875,
0.138671875,... | 12,981 | 12981 | |
measure (mathematics)
measure, in mathematics, generalization of the concepts of length and area to arbitrary sets of points not composed of intervals or rectangles. Abstractly, a measure is any rule for associating with
a set a number that retains the ordinary measurement properties of always being nonnegative and suc... | 4 | [
0.025634765625,
-0.03125,
0.026611328125,
0.00439453125,
-0.052001953125,
-0.0038604736328125,
0.0419921875,
-0.0103759765625,
0.1005859375,
-0.051513671875,
-0.054931640625,
-0.08056640625,
0.021728515625,
0.01544189453125,
-0.0625,
-0.1171875,
0.0267333984375,
0.004547119140625,
... | 12,982 | 12982 | |
Complex Numbers: What and Why?
Date: 9/1/96 at 6:51:2
From: Anonymous
Subject: Complex Numbers: What and Why?
Dear Dr. Math:
What actually is a complex number? How does it work? What sort of
problems do complex numbers solve? What are some examples?
Thank you very much!
Martin
Date: 10/19/96 at 21:45:18
From: D... | 4 | [
-0.1630859375,
0.07666015625,
-0.00165557861328125,
0.09130859375,
-0.1171875,
-0.07568359375,
-0.043212890625,
0.054443359375,
0.062255859375,
0.005767822265625,
0.034423828125,
0.04931640625,
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0.07763671875,
-0.062255859375,
-0.11962890625,
-0.051513671875,
0.013... | 12,983 | 12983 | |
Lie algebra
Context
$\infty$-Lie theory
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Examples
$\infty$-Lie groupoids
$\infty$-Lie groups
$\infty$-Lie algebroids
$\infty$-Lie algebras
Contents
Idea
A Lie algebra is the... | 4 | [
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0.035400390625,
0.0306396484375,
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-0.0390625,
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0.08349609375,
0.03662109375,
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-0.058837890625,
0.0498046875,
0.0301513671875,
-0.050537109375,
0.0864257812... | 12,984 | 12984 | |
isomorphismes
Commutativity is an easy property to render into English: it means order doesn’t matter.
For example “three groups of five rocks” totals the same as “five groups of three rocks”. In fact a general proposition is true: “L groups of R rocks” totals the same as “R groups of L rocks” for any
L,R. Which is su... | 5 | [
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-0.03955078125,
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0.003570556640625,
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-0.06396484375,
0.03759765625,
0.08154296875,
0.061279296875,
0.0341796... | 12,985 | 12985 | |
Infinity of primes
October 7, 2010 Leave a comment
Q.1. Prove that there are infinitely many primes.
Solution.
Assume to the contrary a finite set of primes $\{p_1, p_2, ..., p_k\}$. $\ldots (1)$.
Consider $n = p_1 \times p_2 \times ... \times p_k + 1$.
Now, $p_i | n-1$$\forall$$1 \leq i \leq k$.
$\therefore n$ ... | 5 | [
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Action of left $\mathbb{C}_q[SL_2]$-crossed modules
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Shahn Majin and Xavier Gomez say in the beginig of their article (Noncommutative cohomology and electromagnetism on $\mathbb{C}_q [SL_2]$ at roots of unity) that tha action of left $\mathbb{C}_q
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Physics Archive | October 08, 2008 | Chegg.com
Physics Archive: Questions from October 08, 2008
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• Anonymous... | 5 | [
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Lambert's W
function
once
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Harvard Psychological Studies, Volume 1 SummaryHarvard Psychological Studies, Volume 1 Summary
w(r’-r) = pr’ ,
pr’
w = ------- . (4)
r’-r
[Illustration: Fig. 5]
[Illustration: Fig. 6]
In Fig. 6 rod and disc are moving in opposite directions, and
w = BB’,
p — w
t = ------- ,
r
w
t = —– ,
r’
r’(p — w) =... | 4 | [
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@INBOOK{Hamkins:MultiverseOnVeqL,
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editor = {},
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