content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Frequently Asked Questions regarding lenses
This is the Lens FAQ. It is a technical document describing a lot of optics related information of use to photographers and was originally published in the USENET rec-photo newsgroup. It does not
answer questions about particular commerical lenses. You won't find out whet... | 4 | [
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F
Annu. Rev. Astron. Astrophys. 1994. 32: 371-418
Copyright © 1994 by . All rights reserved
5. PREDICTED MOTIONS FROM THE GALAXY Z-DISTRIBUTION
All-sky complete redshift surveys provide extremely valuable data complementary to the peculiar velocity data, and the efficient techniques for measuring redshifts mak... | 4 | [
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how to write cos 2x in terms of cos x? - Homework Help - eNotes.com
how to write cos 2x in terms of cos x?
We'll write cos 2x as the cosine of the sum of 2 like angles:
cos(x+x) = cos x*cos x - sin x*sin x
cos(x+x) = (cos x)^2 - (sin x)^2 (1)
We'll write sin x in terms of cos x, applyingthe fundamental formula of t... | 4 | [
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What is the length of a diagonal of a 15-mm-by-20-mm-by-8-mm rectangular prism? - Homework Help - eNotes.com
What is the length of a diagonal of a 15-mm-by-20-mm-by-8-mm rectangular prism?
The sides of the rectangular prism are 15 mm, 20 mm and 8 mm.
The length of the diagonal for a rectangular prism is given by
D =... | 4 | [
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Section 4.5.4: Design of a cantilever beam: recursive formulation (GP)
% Boyd & Vandenberghe "Convex Optimization"
% (a figure is generated)
% Almir Mutapcic 02/08/06
%
% We have a segmented cantilever beam with N segments. Each segment
% has a unit length and variable width and height (rectangular profile).
% The goal... | 5 | [
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nonabelian Hodge theory
Context
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
under construction
Contents
Idea
Nonabelian Hodge theory generalizes aspects of Hodge theory from abelian cohomology (abelian sheaf cohomology) to nonabelian cohomology.
Nonabelian Hodge theo... | 4 | [
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Affine transformation
From Encyclopedia of Mathematics
2010 Mathematics Subject Classification: Primary: 15-XX [MSN][ZBL]
of a Euclidean space
A one-to-one point mapping of the plane or space into itself, where to three points lying on a straight line correspond three points also lying on a straight line. Thus, by ... | 4 | [
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Chapter 11. Order Point Inventory Control Methods
Homework problems: 1, 2, 3, 5.
1
Order Point Inventory Control Methods
Order point methods are used to determine
appropriate order quantities and timing for
individual... | 5 | [
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Motion Control and Dynamic Load Carrying Capacity of Mobile Robot via Nonlinear Optimal Feedback
AMAE Int. J. on Manufacturing and Material Science, Vol. 02, No. 02, May 2012
Motion Control and Dynamic Load Carrying Capacity
of M... | 5 | [
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sheaf of meromorphic functions
nLab
sheaf of meromorphic functions
Context
Topos Theory
Could not include topos theory - contents
Contents
Definition
Let $(X, \mathcal{O}_X)$ be a ringed space. Consider the subsheaf of sets $\mathcal{S} \subset \mathcal{O}_X$ of the structure sheaf such that for each open subset ... | 4 | [
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, Mechanical Engineering
Torsional equation , Mechanical Engineering
Torsional equation:
Derive the Torsional equation T/J = Π /R = Gθ/L
Or
Derive an expression for the shear stress in shaft subjected to a torque.
Sol.: Assume,
T = Maximum twisting torque or twisting moment
D = Diameter of shaft
R = Radius of... | 5 | [
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GRE Quantitative
Ace the GRE test using our GRE exam study guide with practice questions.
Quickly Solve Difficult GRE Test Questions with the GRE Flashcard Study System.
1. Convert 65% to a fraction.
a. 4/5
b. 13/20
c. 3/4
d. 7/10
2. Factor: x^2 + 5x - 6
a. (x - 6)(x + 1)
b. (x - 3)(x + 2)
c. (x + 9)(x - 6... | 4 | [
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Optimization of Operation Parameters on a Novel Wedge Disc Brake by Taguchi Method
Mostafa M. Makrahy^1, Nouby M. Ghazaly^1, , K. A. Abd El-Gwwad^1, K. R. Mahmoud^1, Ali M. Abd-El-Tawwab^1
^1Automotive and Tractor Eng. Department, College of Engineering, Minia University, El-Minia, Egypt
Abstract
In this paper, a n... | 4 | [
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.
4. SCATTERING OF LIGHT BY DUST: DIELECTRIC FUNCTIONS
The light scattering properties of dust are usually evaluated based on its optical properties (i.e. dielectric functions or indices of refraction) and geometry (i.e. size and shape) by solving the
Maxwell equations
where E is the electric field, B is the magneti... | 4 | [
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Taylor polynomial with two variables - My Math Forum
June 12th, 2012, 08:15 PM #3
Global Moderator Re: Taylor polynomial with two variables
Let... | 5 | [
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Interaction between light and matter – no room for the photon
One of the fundamental aspects of physics is the study of light and how that interacts with matter. I have been putting off this post – mainly because I am not a quantum mechanic (I am a classical
mechanic). There are lots of things that could be done in thi... | 4 | [
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... | 44,915 | 44915 | |
TION
IMPULSE RESPONSE
INTRODUCTION
The nature of the system is reflected by impulse response, and therein lies its importance. For impulse input, the use of Laplace transforms tends to be easier. Impulse response is different from the
response to other inputs, since only the particular solution needs to be obtained. ... | 4 | [
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Why is there an action and what it isn't
This is an informal continuation of the text
Why is there energy and what it isn't?
One month ago, I discussed the notion of energy and the Hamiltonian. There is a concept similar to the Hamiltonian in mechanics (and the rest of physics) which is called the Lagrangian. To ... | 4 | [
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... | 44,917 | 44917 | |
Archives of the Caml mailing list > Message from Markus Mottl
Date: -- (:)
From: Markus Mottl <mottl@m...>
Subject: Re: help an o'caml beginner
On Wed, 26 Jul 2000, John BEPPU wrote:
> If anyone out there could implement an O'Caml fibonacci number
> generator that doesn't make redundant calculations, I would ... | 4 | [
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Iron Core Transformer Formula - diyAudio
diyAudio Member
Join Date: Jul 2004
Location: Scottish Borders
Is the first formula?
A = sqrt(W) / K
where W is the input power in Watts and K is 0.0086 for EI.
The answer in mm^2 (sqmm)
Is the second formula?
Turns/Volt = 10^9 / [ K' * B * f * A]
where K' = 4.44 for sinewav... | 4 | [
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Geometric Series
The sum of the terms in a geometric sequence is called a geometric series. The process for computing the sum of the terms in a geometric series is different from the method for solving the arithmetic
series.
Find the sum: 1 + 2 + 4 + 8 + 16 + … + 2048
Let S represent the sum of the series.
S = 1 + ... | 4 | [
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0.0... | 44,920 | 44920 | |
Online Dictionary of Crystallography
Twin obliquity
From Online Dictionary of Crystallography
Obliquité de la macle (Fr). Obliquità del geminato (It). 双晶傾斜 (Ja)
The concept of obliquity was introduced by Friedel in 1920 as a measure of the overlap of the lattices on the individuals forming a twin.
Let us indicate... | 4 | [
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0.... | 44,921 | 44921 | |
Fuzzy Weighted Adaptive Linear Filter for Color Image Restoration Using Morphological Detectors
Anita Sahoo et al /International Journal on Computer Science and Engineering Vol.1(3), 2009, 217-221
Fuzzy Weighted Adaptive Linear Filter for Color Image Restoration Using Morphologi... | 4 | [
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Best-fitting Line to a Number of Points
Date: 04/25/2001 at 06:59:09
From: Demetrios Halazonetis
Subject: Best-fitting line to a number of points
I have a number of points on a plane and want to find a line that
best-fits through the points. I want to minimize the sum of squares
of the distances of each point from t... | 5 | [
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Hansen and Mowen ADVANCED
ADVANCED MANAGEMENT
ACCOUNTING
PPT 21 -1
Capital Investment
Decisions
PPT 21 -2
Learning Objectives
Explain what a capital investment decision
is and distinguish between independent and... | 5 | [
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Fitting
Model Fitting Procedure
This web page describes the latest procedures used for fitting light curve (LC) submissions to the AXA.
Introduction
Amatuer LC data is almost always... | 4 | [
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... | 44,925 | 44925 | |
Sunyaev-Zel'dovich
6. The kinematic Sunyaev-Zel'dovich effect
Although early work on the Sunyaev-Zel'dovich effects concentrated on the thermal effect, a second effect must also occur when the thermal (or non-thermal) Sunyaev-Zel'dovich effect is present. This
is the velocity (or kinematic) Sunyaev-Zel'dovich effect... | 4 | [
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0.02404785156... | 44,926 | 44926 | |
Li
Narrow Search
Earth and space science
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This activity is a short engineering design challenge to be completed by individual students or small teams. A real-world problem is presented, designing buildings for hurricane-prone areas, but in a
simulated ... | 4 | [
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Binomial probabilities
This also goes under the name of 'Bernoulli trials'. The idea is that you have a circumstance in which one of two things will happen. And you're going to try out the process many times. This could be
tossing coins, or dice, or a batter going to the plate (or wicket) many time, a basketball or hoc... | 4 | [
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0.0311... | 44,928 | 44928 | |
Volume 15,
Volume 15, Issue 12, December 1974
•
View Description Hide Description
Our formulas for the Weyl conform tensor components generalize results published earlier by Z. Perjés for vacuum fields. We also offer an abstract version of these equations which may shed some
light upon their structure... | 4 | [
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Barratt-Eccles operad
Context
Higher algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category presentations
Geometry on formal duals of algebras
Theorems
Contents
Idea
The Barratt-Eccles operad $\mathcal{E}$ is a specific realization of an E-infinity operad, a cofibrant resolution of the... | 4 | [
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Simplify: 3a - [(4 - 3a)/5] - [(a - 4)/6] - Homework Help - eNotes.com
Simplify: 3a - [(4 - 3a)/5] - [(a - 4)/6]
We have to simplify : 3a - [(4 - 3a)/5] - [(a - 4)/6]
3a - [(4 - 3a)/5] - [(a - 4)/6]
Open the brackets
=> 3a - [4 /5 - 3a/5] - [a/6 - 4/6]
=> 3a - 4/5 + 3a/5 - a/6 + 4/6
add terms with a and the numer... | 4 | [
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Vector Calculus: Understanding the Gradient
Get the Math, Better Explained eBook and turn Huh? to Aha!
The gradient is a fancy word for derivative, or the rate of change of a function. It’s a vector (a direction to move) that
• Points in the direction of greatest increase of a function (intuition on why)
• Is ... | 5 | [
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ce
Context
Topology
Basic concepts
Theorems
Examples
Mapping space
General abstract
Topology
Differential topology
Stable homotopy theory
Contents
Idea
A loop space is a loop space object, typically regarded in Top (in the context of topology) or in Ho(Top) or rather in ∞Grpd (in the context of homotopy the... | 4 | [
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0... | 44,933 | 44933 | |
Infinite series of geometric?
April 12th 2010, 04:37 PM
Anonymous1
Infinite series of geometric?
Okay, so I'm trying to find the constant $c,$ but I am rusty on my elementary calculus. Any help is greatly appreciated.
Necessarily,
$[c + c + (\frac{2}{3})^0 c+ (\frac{2}{3})^1c + (\frac{2}{3})^2 c.....] ... | 4 | [
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Design for Strip-Line Band-Pass Filters
June, 1968
Download this article in .PDF format
This file type includes high resolution graphics and schematics when applicapable.
Design procedure
In designing these filters, first decide upon the required frequency response and the rate of attenuation beyond cut-off; then ... | 4 | [
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MANAGEMENT SYSTEM AND ESTIMATING METHOD FOR BATTERY PARAMETER
Patent application title: MANAGEMENT SYSTEM AND ESTIMATING METHOD FOR BATTERY PARAMETER
Sign up to receive free email alerts when patent applications with chosen keywords are published SIGN UP
Abstrac... | 4 | [
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Spline surfaces
We have already learned how to use cubic splines to make curves. We can also use bicubic splines to make surfaces. In this case, rather than defining x,y,z in terms of a single parameter t describing
parametric movement along a path, we define x,y,z in terms of two parameters u,v which describe paramet... | 4 | [
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A practical guide to SSE SIMD with C++
First published 22. September 2009
This is a guide to Streaming SIMD Extensions with operation system independent C++. Also the details and troubles of SIMD designing with SSE will be addressed in detail.
1.0 Introduction
Current personal computer CPUs have the capability for ... | 4 | [
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Differential Equation
Solving a Differential Equation
Here is a straightforward way to solve the equation for a forced oscillator
The equation describing the behaviour of a harmonic oscillator of natural angular frequency ω under the action of a forcing function g(t) is d^2f(t)/dt^2 + ω^2f(t) = g(t), where f(t) is t... | 5 | [
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0.11914062... | 44,939 | 44939 | |
Lecture 08
CS302 – Digital Logic Design
Boolean Algebra and Logic Simplification
Any digital circuit no matter how complex can be described by Boolean
Expressions. Boolean algebra is the mathematics of Digital Systems. Knowledge of
Boolean algebra is indispensable to th... | 4 | [
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Ch 1-2 Literacy Strategies for Improving Mathematics Instruction
I do these more for myself than anyone else, but here, I am quoting the most useful parts of this ASCD book (click links to read online for free). Basically, I'm editing out the boring. You're
welcome.
I'm also just doing a couple of chapters at a time ... | 4 | [
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Transmitter And Receiver Antenna Basics
Applications Note
Transmitter and Receiver
Antenna Basics
... | 4 | [
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skew-Hermitian matrix
skew-Hermitian matrix
Properties.
Proof. Property (1) follows directly from property (2) since the trace is the sum of the eigenvalues. But one can also give a simple proof as follows. Let $x_{{ij}}$ and $y_{{ij}}$ be the real
respectively imaginary parts of the elements in $A$. Then the diagon... | 4 | [
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Analyze Matching Networks For Low-Noise Amplifiers
Low-noise amplifiers (LNA) set the general noise figure and sensitivity of receivers and other high-frequency systems. Although a variety of excellent low-noise transistors is currently available
based on numerous process technologies, achieving good amplifier low-nois... | 4 | [
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. G
9. GRAVITATING MAGNETIC FIELDS
Up to now large scale magnetic fields have been treated in different frameworks but always within a perturbative approach. However, magnetic fields can also break explicitely the isotropy (but not
the homogeneity) of the background geometry.
Suppose that at some time t[1] the Univer... | 4 | [
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A note about the estimating the number of visits to a site
Motivation
How many times do users visit your site? A very relevant question in web analysis.
One major issue that biases your estimation is the users who save no cookies, these users change their ID on every page visit so they look like 1 time visitors and th... | 5 | [
0.0023956298828125,
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... | 44,946 | 44946 | |
Free Fall Motion
Free fall motion
1 Three objects are let go from the same
level.
A The 1-kg object falls fastest.
B The 3-kg object falls fastest.
C The combined
1 kg
object falls
fastest.
D None of the
... | 4 | [
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Backpropagation algorithm
Filed under: Uncategorized — Mihai Varzaru @ 2:38 pm
Backpropagation is an algorithm used to teach feed forward artificial neural networks. It works by providing a set of input data and ideal output data to the network, calculating the actual outputs
and backpropagating the calculated error ... | 4 | [
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... | 44,948 | 44948 | |
Computing Space Travel
How can a 3D-autopilot be implemented in a space opera game? How do you compute the optimal trajectory from A to B in a solar system using classical mechanics?
This has been one of the tougher problems I've encountered in the MMO game project I'm working on. No other space game I've played has h... | 4 | [
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... | 44,949 | 44949 | |
Radical extension
September 5th 2009, 06:01 AM #1
Senior Member
Joined
Jul 2009
Posts
254
Radical extension
Prove the splitting field of $x^3+x^2+1\in Z_{2}[x]$ is a radical extension...
when it comes to $Z_{2}$,I am a little bit confused. Since many theorem is based on $charF=0$..
The theorem a... | 5 | [
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Re: new products in geometric algebra
From: Urs Schreiber (Urs.Schreiber_at_uni-essen.de)
Date: 10/22/04
Date: 22 Oct 2004 09:33:51 -0400
"Mark Adams" <markjadams@lycos.com> schrieb im Newsbeitrag
news:clar00$1qc$1@dizzy.math.ohio-sta... | 4 | [
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Abstract ODE; PDE; uniqueness of solution
up vote 4 down vote favorite
I have a somewhat vague question regarding an abstract ODE in a Banach space.
Suppose $A:D(A) \subset X \rightarrow X$ is some linear operator (let's assume it's closed) and maybe add some other conditions.
Suppose $x_0 \in X$ is non-zero and supp... | 5 | [
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... | 44,952 | 44952 | |
Sunday FunctionSunday Function
A while back I mentioned the St. Petersburg paradox. It’s a hypothetical gambling scenario where you win money based on the outcome of a coin toss. If you get your first tails on the first throw, you
get $1. If you get one head before your first tails, you get $2 dollars. If you get two h... | 4 | [
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-0.0159912109375,
... | 44,953 | 44953 | |
Finding all paths on undirected graph
up vote 9 down vote favorite
7
I have an undirected, unweighted graph, and I'm trying to come up with an algorithm that, given 2 unique nodes on the graph, will find all paths connecting the two nodes, not including cycles. Here's
an illustration of what I'd like to do: Graph exam... | 5 | [
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... | 44,954 | 44954 | |
04. Integration
In the previous pages we have shown how to determine a rate of change for our example function, and we have presented a convenient notation for derivatives, as shown below: (1)
p(t) = t^2
(the position function) (2)
p'(t) = 2 t
(the first derivative, velocity) Higher derivatives are identified as
p... | 5 | [
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0.064453... | 44,955 | 44955 | |
Julian Day Number - Implementation Examples
2.3 Gregorian date to Julian Day Number - Implementation Examples
2.3.0.1 Choices to be made
The following decisions have to be made regarding any implementation:
• Are dates specified in the Gregorian or Julian Calendar?
• What range of dates are to be supported?
•... | 4 | [
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... | 44,956 | 44956 | |
SUM(ARRAY, DIM, MASK) or SUM(ARRAY, MASK)
XL Fortran for AIX 8.1
Language Reference
Calculates the sum of selected elements in an array.
ARRAY
is an array of numeric type, whose elements you want to sum.
DIM (optional)
is an integer scalar in the range 1 <= DIM <= rank(ARRAY).
MASK (optional)
is a logica... | 4 | [
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affine space
Contents
Idea
An affine space or affine linear space is a vector space that has forgotten its origin. An affine linear map (a morphism of affine spaces) is a linear map (a morphism of vector spaces) that need not
preserve the origin.
Note that the ‘linear functions’ of elementary algebra —the total func... | 4 | [
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How do I solve` int_0^((3pi)/2)|cosx|dx` ? - Homework Help - eNotes.com
How do I solve` int_0^((3pi)/2)|cosx|dx` ?
We can solve this by breaking into two cases depending on whether `cosx` is positive or negative.
We know that `cosx` for `x in [0,pi/2)` and negative for`x in(pi/2,(3pi)/2)`, so for `x in [0,pi/2)` `|... | 5 | [
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the Godzilla of logic puzzles
August 15th, 2006 06:35 PM #1
the Godzilla of logic puzzles
This one is my all-time favorite---no trickery or phony logic involved. Be warned your head may explode if you think about it too much.
You have 12 billiard balls, all the same size. You know that 11 are the same weight... | 4 | [
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... | 44,960 | 44960 | |
(∞,1)-local geometric morphism
Context
$(\infty,1)$-Topos theory
Background
Definitions
Characterization
Morphisms
Extra stuff, structure and property
Models
Constructions
structures in a cohesive (∞,1)-topos
Contents
Idea
The analog in the context of (∞,1)-topos theory of a local geometric morphism in topo... | 4 | [
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0... | 44,961 | 44961 | |
Physics and the human mind
The mathematical construction behind the explanation of the behavior of a quantum mechanical system may seem rather complicated at first sight. This is simply because the former deals extensively
with a rather abstract of mathematics known as calculus. And the worst is that it is not one, not... | 4 | [
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APTITUDE Paper
Aptitude Questions
Solve the following and check with the answers given at the end.
1. It was calculated that 75 men could complete a piece of work in 20 days. When work
was scheduled to commence, it was found necessary to send 25 men to another ... | 4 | [
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Proposition 15
Book I. Proposition 15
Problems
Back to Proposition 15.
1. PQ, RS are straight lines that intersect at T. Name two pairs of
1. vertical angles.
To see the answer, pass your mouse over the colored area.
To cover the answer again, click "Refresh" ("Reload").
Do the problem yourself first!
Angles PTR,... | 4 | [
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Associated idempotent monad of a monad
Todd Trimble
Associated idempotent monad of a monad
Theorem (Fakir)
Let $C$ be a complete, well-powered category, and let $M: C \to C$ be a monad with unit $u: 1 \to M$ and multiplication $m: M M \to M$. Then there is a universal idempotent monad, giving a right
adjoint to
$Ide... | 4 | [
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and the Milky Way
3.5.1 M31 and the Milky Way
The Local Group contains more than 35 galaxies, most of which are dwarf ellipticals and irregulars with low mass; this complicated system may be considered as being formed by two main galaxies, M31
and the Milky Way, with other dynamically less important satellites... | 4 | [
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Appendix A Monod Kinetics and Competitive Inhibition
Before describing the particular implementations of the various types of kinetics, it is necessary to review the theory behind Monod kinetics. Monod kinetics are different from, but still based upon
Michaelis-Menten kinetics for enzymes. One can think of Monod Kineti... | 4 | [
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METHOD FOR CHANNEL ESTIMATION
Patent application title: METHOD FOR CHANNEL ESTIMATION
Inventors: Tomasz Hrycak (Vienna, AT) Saptarshi Das (Bangalore, IN) Hans Georg Feichtinger (Mistelbach, AT) Gerald Matz (Vienna, AT)
IPC8 Class: AH04L2502FI
USPC... | 4 | [
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Tim's Triangular Page
This page may look rectangular but in fact it is a triangular page - just read the contents below and you will see.
... | 4 | [
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Generalization of scalar product to k-dimensional subspaces (as opposed to 1-dimensional subspaces, i.e. vectors)
up vote 1 down vote favorite
1
This came up in a practical problem (physics).
In the following, we work with real numbers only, and consider every vector to be normalized to 1.
To find how "similar" two ... | 5 | [
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Matrix theory: a novel alternative to second quantization etc.
I still consider Matrix theory (BFSS, 1996) one of the most conceptually original developments in theoretical physics of the last 20 years.
It is a relatively unusual way to describe physics in the 11-dimensional asymptotically flat vacuum of M-theory – an... | 4 | [
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... | 44,971 | 44971 | |
DC_MOTOR_DRIVES
1
DC motor drives .................................................................................................................. | 4 | [
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Subgroup of lattice-ordered group
up vote 1 down vote favorite
Let $H$ be a subgroup of lattice-ordered group $G$. $H$ is a lattice-ordered group as a induced partial order from $G$ but $H$ is not a lattice-subgroup of $G$. For $a, b\in H$, let $ c=inf(a, b) \in
H$ and let $d= inf(a, b) \in G$. Is it necessary to be $... | 5 | [
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0.0581054687... | 44,973 | 44973 | |
Non-polynomial integrals of motion for polynomial dynamical systems
up vote 4 down vote favorite
3
Does there exist a polynomial Hamiltonian function $H$ on some $\mathbb{R}^{2n}$ such that
1. Any polynomial function $P$ such that $\{P,H\}=0$ is of the form $p(H)$ for some polynomial $p$ in one variable;
2. There e... | 5 | [
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.
2. DIFFUSE UV EMISSION FROM THE INTERGALACTIC MEDIUM
Historically, one of the driving motivations behind attempts to measure the diffuse background radiation at far-ultraviolet wavelengths has been the realization that such observations could
potentially reveal the existence of a cosmologically significant ([b] ^3 ... | 4 | [
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Percentages
You are here
Percentages
Introduction
A percentage is a fraction whose denominator (bottom) is 100. So if we say 50%, we mean 50/100 = 1/2 (after cancelling). So 50% means ½. If want to find 10% of something, 'of' just means 'times'. So
10% of 150 = 10/100 × 150 = 15.
If you have to turn a percentage in... | 4 | [
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MHD mixed convection flow in vertical lid driven square
Nonlinear Analysis: Modelling and Control, 2010, Vol. 15, No. 2, 199–211
MHD mixed convection flow in a vertical lid-driven
square enclosure including a heat conducting horizontal
circular cy... | 4 | [
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Local splitting of the tangent bundle with interesting properties
up vote 3 down vote favorite
Let $(M,g)$ be a Riemannian manifold and let $U\subset M$ be an open subset. Suppose that the tangent bundle over $U$ splits into two orthogonal distributions $TU=\mathcal{E}\oplus \mathcal{F}$.
Is it possible that the two ... | 5 | [
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Beware Of Spectrum Analyzer Power Averaging Techniques
Averaging is a common technique for reducing the measurement uncertainty inherent in all measurements. Performing the same measurement a number of times and averaging the results can reduce the
randomness of the experimental result. Averaging is an automatic functi... | 4 | [
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e
Effectiveness
The bisection method is almost certain to give a root. Provided the conditions of the above theorem hold; it can only fail if the accumulated error in the calculation of f at a bisection point gives
it a small ... | 5 | [
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diyAudio - Relating SPL to Force?
diyAudio
(
http://www.diyaudio.com/forums/
)
-
Multi-Way
(
http://www.diyaudio.com/forums/multi-way/
)
Kaoss 13th March 2004 10:12 AM
Relating SPL to Force?
I'm currently doing some work on optimising speakers for use with class-d amplifiers. So far, I've got the power ... | 4 | [
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ing
Designing a More Effective Car Radiator
Introduction
The demand for more powerful engines in smaller hood spaces has created a problem of insufficient rates of heat dissipation in automotive radiators. Upwards of 33% of the energy g... | 5 | [
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of
Below are the first 10 and last 10 pages of uncorrected machine-read text (when available) of this chapter, followed by the top 30 algorithmically extracted key phrases from the chapter as a whole.
Intended to provide our own search engines and external engines with highly rich, chapter-representative searchable t... | 4 | [
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lecture2
Modulo a Prime Number
We have seen that modular arithmetic can both be easier than normal arithmetic (in
how powers behave), and more difficult (in that we can’t always divide).
But when n is a prime number, then modular arithmetic keeps many of the nice
properties we a... | 5 | [
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Study of
Study of electron temperature gradient instability in toroidal
plasmas with negative magnetic shear
Jian Guang-De Dong Jia-Qi
Key words electron temperature gradient instabil... | 4 | [
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0.017211... | 44,985 | 44985 | |
edge line detection
2012/2013
Edge / line detection
Hussein abed hilal / MSC
University of technology Image processing / edge line detec... | 5 | [
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0.023193359375,
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... | 44,986 | 44986 | |
Cosine Law Problems
Problem 1: A triangle has sides equal to 5 cm, 10 cm and 7 cm. Find its angles (round answers to 1 decimal place).
Solution to Problem 1:
• Let us use the figure below and set
a = 10 cm , b = 7 cm and c = 5 cm.
• We now use cosine law to find the largest angle A.
a^ 2 = b^ 2 + c^ 2... | 4 | [
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0.078125,
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REYNOLDS NUMBER AND DRAG ON IMMERSED BODIES – SUPPLEMENTAL LECTURE
REYNOLDS NUMBER AND DRAG ON IMMERSED
BODIES – SUPPLEMENTAL LECTURE
In Lab 1 there were two components:
1) the Reynolds Apparatus for determination of turbulent flow;
and
2) the Stokes Apparatus for dete... | 4 | [
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Fast, High-Quality, Parallel Random-Number Generators: Comparing Implementations
In the first part of this two-part series, Fast, High-Quality, Parallel Random Number Generators , I described a new family of fast random number generators based on the subcycles that can be
implemented using simple arithmetic. That artic... | 4 | [
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2.2
2.2 Analysis of ARMA Time Series
Given a time series, we can analyze its properties. Since many algorithms for estimating model parameters assume the data form a zero-mean, stationary process, appropriate transformations of the data
are often needed to make them zero-mean and stationary. The function
ListDifferen... | 4 | [
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AGN Emission Lines - H. Netzer
10.3. Line Width vs. Continuum Luminosity: M/L for AGNs
10.3.1 Observed correlations. A superficial study of AGN spectra reveals the large diversity in line widths. The FWHM (Full Width Half Maximum) of a certain line, in objects of similar continuum
luminosity, can differ by a factor of... | 4 | [
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.ShrunkCovariance
class sklearn.covariance.ShrunkCovariance(store_precision=True, assume_centered=False, shrinkage=0.1)¶
Covariance estimator with shrinkage
store_precision : bool
Specify if the estimated precision is stored
Parameters:
shrinkage : float, 0... | 4 | [
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Statistical Computing Seminar
Proc Logistic and Logistic Regression Models
• Introduction
• Binary Logistic Regression
• Exact Logistic Regression
• Generalized Logits Model - Multinomial Logistic Regression
• Proportional Odds Model - Ordinal Logistic Regression
Introduction
Logistic regression describes ... | 5 | [
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Adrian Boeing: Blog
(EDIT: See also
Kalman filters
)
Alpha-Beta filters
are fairly well explained on wikipedia, and are generally a very easy first-stop solution before heading to Kalman or particle-filter alternatives. (The next obvious step is to extend this to include
acceleration (Alpha-Beta-Gamma), and to limi... | 4 | [
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geometric realization
Context
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Topology
Basic concepts
Theorems
Examples
Contents
Idea
Geometric realization is the operation that builds from a simplicial set $X$ a topological space $|X|$ obtained by interpreting each elemen... | 4 | [
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Fischer
The Statistical Energy Analysis (SEA)
SEA
by Michael Fischer JASS 2006 in St. Petersburg
The Statistical Energy Analysis (SEA)
1. Methods used for vibration problems:
by Michael Fischer JASS 2006 in St. Petersburg
The Statist... | 4 | [
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UCT
UCT
Difficulty
:
Introductory Keywords
:
Software
UCT for Monte Carlo computer go
A Monte Carlo (MC) go program plays random games and easily evaluates the terminal position after two passes using Chinese rules. A MC program searches for moves that have high win rates, calculated
from playing out at least a... | 4 | [
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Molarity
Calculate the concentration of the solute in mol/L in the diluted solution: 125mL of 0.64M HCl diluted to 2.0L
0.040mol/L
Calculate the concentration of the solute in mol/L in the diluted solution: 25.0mL of 0.22M MgSO4 diluted to 500.0mL
0.11M
Calculate the concentration of the solute in mol/L in the dilu... | 4 | [
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Maxwell to Snell
Today was a really interesting day in my optics class. We’re doing chapter 9 in our text and I wanted to make sure that I motivated the material well. What’s weird about this text is that it waits
until chapter 9 to do ray optics. This chapter has the lens equation, curved surfaces, etc. You know, all... | 4 | [
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