content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Propagation of error considerations
2. Measurement Process Characterization
2.5. Uncertainty analysis
2.5.5. Propagation of error considerations
Top-down approach consists of estimating the The approach to uncertainty analysis that has been followed up to this point in the discussion has been what is called a to... | 4 | [
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0.11767578125,
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-0.051513671875,
0.05615234375,
0.0688476... | 10,800 | 10800 | |
Length spaces with continuous length functional: is this set Gromov-Hausdorff closed?
up vote 4 down vote favorite
2
As far as I can tell, a major motivation for the study of length spaces is that they arise as Gromov-Hausdorff limits of Riemannian manifolds. Specifically,
1. A complete connected Riemannian manifol... | 4 | [
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0.01... | 10,801 | 10801 | |
Statistic
More Problem Solving Power: Exploiting Prediction Models and Statistical Software in a One-Semester Course
Joe H. Ward, Jr.
University of Texas at San Antonio
Robert L. Fountain
Portland State University
Journal of Statistics Education v.4, n.3 (1996)
Copyright (c) 1996 by Joe H. Ward, Jr., and Robert L.... | 5 | [
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Algebra Deformations and Maurer-Cartan elements
up vote 3 down vote favorite
2
Hello to all,
If $(A,\mu)$ is an algebra, it is very well known that set of deformations mod equivalence is isomorphic to the of Maurer-Cartan set of the DG Lie algebra of the hochschild cocomplex mod gauge
equivalence. One usually finds t... | 4 | [
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Series differences, and fascinating facts
April 5, 2008
This week I tried a couple of ideas I got from MathNotations on my middle school group.
First I presented this problem:
How much greater is the sum of 51+52+53+…+100 than the sum of 1+2+3+…+50?
Because I had predicted that they would all solve this by sum... | 4 | [
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co-span co-trace
Idea
One can naturally think of a cospan as the abstraction of a cobordism. For instance an interval object cospan models the standard topological interval $[0,1]$ regarded as a cobordism from pt to pt.
The co-span co-trace on the interval glues the two ends of the interval together to produce a circl... | 4 | [
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Finite-difference calculus
From Encyclopedia of Mathematics
A branch of mathematics in which functions are studied under a discrete change of the argument, as opposed to differential and integral calculus, where the argument changes continuously. Let
are the (finite) first-order differences,
are the second-order d... | 4 | [
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Graph Theory and the Bridges of Konigsberg
Vignette 5
Graph Theory and the Bridges of Königsberg
Königsberg was a city in Prussia situated on the Pregel River, which served as the residence of the dukes of Prussia in the 16th century. (Today, the city is named Kaliningrad, and is a major
industrial and commercial cent... | 4 | [
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Applications of fractional calculus to the analysis of damped
ASA 130th Meeting - St. Louis, MO - 1995 Nov 27 .. Dec 01
2aSA11. Applications of fractional calculus to the analysis of damped vibrations of viscoelastic oscillators.
Yuriy A. Rossikhin
Dept. of Theoretical Mechanics, Voronezh State Acad. of Constructio... | 4 | [
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Math Help
December 18th 2006, 05:33 PM #1
Find max and min
This problem I think it can be soved with Lagrange multipliers but I tried to solve this with out them.
Find the maximum and minimum values of the variable x on the Equation:
$4y^{2}-2xy+x^{2}=3$
I dont know if Im having all the solutions w... | 5 | [
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Conditional probability - family with blue eyes
Hi all,
I'm looking for an answer to the following exercise. I've worked on some but I'm stuck. There is a family with 5 children, and the probability that any child will have blue eyes is 1/4. If you
know that at least 1 has blue eyes, what is the probabilit... | 5 | [
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Math Help
September 17th 2008, 04:06 PM #1
Junior Member
Joined
Sep 2008
Posts
61
polar
13: THANKS HWHELPER
17: Point by point, a dilation transforms the circle x^2 - 6x + y^2 - 8y = -24 onto the circle x^2 - 14x + y^2 - 4y = -44. Find the center and the magnification factor of this transformation.... | 4 | [
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Basis for completely regular spaces(Tychonoff Spaces)
up vote 1 down vote favorite
If the space $X$ is completely regular, we Know that The collection {$intZ(f)$:$f$ is a continuous function from $X$ to the real numbers} is an open base for open subsets of the space $X$ (i.e. If
for each element $x$ and each open set ... | 5 | [
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-0.01446533203... | 10,812 | 10812 | |
Problem: Let Y = cosx + sinx / cosx - sinx. Find dy/dc
January 25th 2013, 08:39 AM
TripShip
Problem: Let Y = cosx + sinx / cosx - sinx. Find dy/dc
Having trouble finding the answer to this question:
Let Y = cosx + sinx / cosx - sinx
Find dy/dx
The answer is supposed to be (cosx - sinx)(-sinx + co... | 5 | [
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Vector Parametric Equation
February 5th 2009, 12:58 PM #1
Junior Member
Joined
Sep 2008
Posts
27
Vector Parametric Equation
How do I find the equation of a plane with this information:
Its through the point (-3, 9, 10)
and x = 5+t y = 4t and z = 3-2t
I'm guessing that the plane contains the ... | 5 | [
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Math Forum: Ask Dr. Math FAQ: The Monty Hall Problem
For a review of basic concepts, see Introduction to Probability and Permutations and Combinations.
Let's Make a Deal!
Imagine that the set of Monty Hall's game show Let's Make... | 4 | [
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Notions of irreducibility
Let ${(X,f)}$ be a topological dynamical system. (Generally this means, for me at least, a continuous self-map of a compact metric space. However, sometimes one may be interested in examples that are
not compact or that are only piecewise continuous.) We can study ${(X,f)}$ as an object in to... | 4 | [
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-0.047607... | 10,816 | 10816 | |
Simulating RF Tuned Stages
Assessing post-production- tuning (PPT) elements should be part of any RF worstcase circuit analysis (WCCA). Unfortunately, PPT elements are often omitted or incorrectly incorporated into an
analysis, even though including such tuning elements into a computer-aidedengineering (CAE) model is o... | 5 | [
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Reference request : an elementary product-sum formula for binomial coefficients
up vote 2 down vote favorite
I apologize if this is too elementary. The following identity arises in cluster algebra, where I'm trying to find an expression for cluster variables. Let $a,b$ be any nonnegative integers. Then
there are nonn... | 5 | [
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Transforms of derivatives and ODEs
6.2.1 Transforms of derivatives
Let us see how the Laplace transform is used for differential equations. First let us try to find the Laplace transform of a function that is a derivative. That is, suppose \(g((t(\) is a continuous
differentiable function of exponential order. Then
W... | 5 | [
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Griya Talenta
Definition and first consequences
Let
V
and
W
be vector spaces over the same
field K
. A function
f
:
V
→
W
is said to be a
linear map
if for any two vectors
x
and
y
in
V
and any scalar α in
K
, the following two conditions are satisfied:
$f(\mathbf{x}+\mathbf{y}) = f(\mathbf{x})+f... | 4 | [
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Invert and Multiply
Date: 11/08/97 at 14:24:45
From: Anonymous
Subject: Fractions!
Hi Doc,
I am a student teacher, currently taking a methods course in
elementary mathematics. I am struggling with how to explain to a class
"why" we invert and multiply when dividing fractions. I read your FAQ
on this, but still don'... | 4 | [
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0.083496093... | 10,821 | 10821 | |
Tricky induction problem with trig
June 21st 2013, 08:04 PM
Ragnarok
Tricky induction problem with trig
Okay, I'm working on a really tricky induction problem where I have to show the following (assuming that $\sin{(x/2)}eq0$):
$\sin{(x)}+2\sin{(2x)}+\ldots +n\sin{(nx)}=\frac{\sin{[(n+1)x]}}{4\sin^2{(x/2)}}-... | 5 | [
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0.0712890625,
... | 10,822 | 10822 | |
Is there anything special about the Riemann surface $y^2 = x(x^{10}+11x^5-1)$?
up vote 19 down vote favorite
7
I stumbled upon the fact that the Bolza surface can be obtained as the locus of the equation,
$y^2 = x^5-x$
Its automorphism group has the highest order for genus $2$, namely $48$. I recognized $x^5-x$ as a... | 4 | [
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0.0267333984375,
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-0.0... | 10,823 | 10823 | |
ie
#include <boost/math/special_functions/zeta.hpp>
namespace boost{ namespace math{
template <class T>
calculated-result-type zeta(T z);
template <class T, class Policy>
calculated-result-type zeta(T z, const Policy&);
}} // namespaces
The return type of these functions is computed using the result type calculati... | 4 | [
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-0.006072998046... | 10,824 | 10824 | |
congruence modulo m
January 22nd 2007, 04:36 PM
jenjen
congruence modulo m
Hello, can anyone help me with these two problems?? Thank you so much in advance.
1) Prove: If x ≡ y (mod m), then (x, m) = (y, m)
2) Show that if n > 4 is not prime, then (n-1)! ≡ 0 (mod n).
January 22nd 2007, 04:45 PM
The... | 5 | [
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0.031494140625,
0.0061... | 10,825 | 10825 | |
Technical Mathematics with Calculus
More About This Textbook
Overview
This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material,
polish, refine, and fill in where needed. Much has ... | 5 | [
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-0.04443... | 10,826 | 10826 | |
SHIELDING CALCULATIONS
LEARNING OBJECTIVE:
1.11.13 Calculate shielding thickness or exposure rates for gamma/x-ray radiation using the equations.
SHIELDING CALCULATIONS
The simplest method for determining the effectiveness of the shielding material is using the concepts of half-value layers (HVL) and tenth-valu... | 4 | [
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-0.06591796875... | 10,827 | 10827 | |
Prime number of a form
Find all primes of the form 2^(2^n)+5, where n is a nonnegative integer Thanks very much!!:)
Only n=0 Because if n>0 then you have none, all these numbers are divisible by three. Proof ~~~ We know that, 2 = -1 (mod 3 ) Then, 2^(2^n) = (-1)^(2^n) (mod 3) But, (-1)^(2^n)=1 because exponent is
even... | 5 | [
-0.06591796875,
0.0244140625,
-0.0091552734375,
0.0634765625,
0.06591796875,
-0.015625,
0.052001953125,
0.00830078125,
-0.003204345703125,
0.0164794921875,
-0.048095703125,
-0.0213623046875,
-0.01336669921875,
0.0341796875,
-0.00180816650390625,
-0.0216064453125,
-0.07568359375,
-0... | 10,828 | 10828 | |
BRAINTENANCE: Train, Strain And Improve Your Brain. Expand Your Mind.
Share this ARTICLE with your colleagues on LinkedIn .
Dear Friends:
Firstly, let's answer yesterday's questions:
You are given a box, measuring 6 feet by 6 feet by 6 feet.
A simple first observation is that the box (which is actually a big cube)... | 5 | [
0.1123046875,
0.01483154296875,
-0.032470703125,
0.0186767578125,
-0.01007080078125,
-0.0216064453125,
-0.01226806640625,
0.0888671875,
-0.0038299560546875,
0.0390625,
-0.1083984375,
0.05859375,
0.00019931793212890625,
0.0654296875,
-0.0458984375,
0.00885009765625,
0.0035552978515625... | 10,829 | 10829 | |
Extrema polar equation
December 21st 2012, 09:13 AM
jones123
Extrema polar equation
Given rē = 4cos(2Ɵ) , 0 < Ɵ < π/4
Calculate the point on this curve with the highest y-coordinate.
How would you calculate this? I do not even know how to start this :(
Thanks already!
December 21st 2012, 05:54 PM... | 5 | [
0.01177978515625,
-0.01019287109375,
-0.006195068359375,
-0.06787109375,
-0.0361328125,
0.0059814453125,
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0.1181640625,
0.0390625,
-0.01806640625,
0.0140380859375,
0.047119140625,
0.0167236328125,
0.09423828125,
0.024658203125,
0.07275390625,
-0.025146484375,
-0.02099... | 10,830 | 10830 | |
Polar curves Maximum and minimum.
April 5th 2011, 04:13 PM
IDontunderstand
Polar curves Maximum and minimum.
I do not understand how to find the maximum and minimum.
Find the maximum and minimum point form the pole.
a) r=6cos(x)
b)r=3-6sin(x)
I can find the answer on my calculator I believe b... | 4 | [
-0.0247802734375,
-0.041259765625,
-0.07958984375,
-0.0400390625,
-0.08349609375,
0.0299072265625,
-0.013427734375,
0.12255859375,
0.0218505859375,
0.03564453125,
0.00640869140625,
0.052978515625,
0.05224609375,
0.0299072265625,
0.07763671875,
0.0159912109375,
-0.03369140625,
-0.01... | 10,831 | 10831 | |
Math Help
April 10th 2009, 03:18 PM #1
Junior Member
Joined
Apr 2009
Posts
29
evaluate
Hello, help please
1) let $\tan\alpha$ and $\tan\beta$ roots of equation $x^2 + \pi x + \sqrt{2} = 0$ .
Evaluate : $A = \sin^2(\alpha+\beta) + \pi\sin(\alpha+\beta)\cos(\alpha+\beta) + \sqrt{2} \cos^2(\alpha... | 5 | [
-0.05224609375,
-0.007598876953125,
0.0294189453125,
0.036865234375,
-0.0341796875,
0.1103515625,
-0.0279541015625,
-0.01068115234375,
-0.022705078125,
0.03564453125,
0.035888671875,
0.05224609375,
-0.004669189453125,
0.0634765625,
0.050048828125,
0.06396484375,
-0.037841796875,
-0... | 10,832 | 10832 | |
MonoidOperation
Category: functors Component type: concept
Description
A Monoid Operation is a special sort of BinaryFunction. A BinaryFunction must satisfy three conditions in order to be a Monoid Operation. First, its first argument type and second argument type
must be the same, and its result type must b... | 4 | [
0.012451171875,
0.01251220703125,
-0.00170135498046875,
0.00093841552734375,
-0.1259765625,
0.0025634765625,
0.048828125,
0.023193359375,
-0.0155029296875,
0.0228271484375,
0.0023040771484375,
-0.10888671875,
-0.0576171875,
0.033447265625,
0.059326171875,
0.0634765625,
-0.00285339355... | 10,833 | 10833 | |
Question about the Uniqueness Theorem of Power Series
May 19th 2009, 06:30 PM
tttcomrader
Question about the Uniqueness Theorem of Power Series
Let $f(T)= \sum a_nT^n$ and $g(T)= \sum b_nT^n$ be two convergent power series. Suppose that $f(x)=g(x)$ for all x in an infinite set having 0 as a point of accumulation... | 5 | [
-0.1259765625,
0.00885009765625,
-0.01214599609375,
0.1181640625,
-0.0238037109375,
0.0712890625,
0.08837890625,
-0.046875,
0.036865234375,
-0.095703125,
0.0242919921875,
0.01495361328125,
0.00180816650390625,
-0.08154296875,
-0.049560546875,
0.0380859375,
0.024658203125,
-0.086425... | 10,834 | 10834 | |
Math Forum Discussions
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Topic: Newton etc.
Replies: 1 Last Post: May 29, 1997 12:... | 5 | [
-0.036376953125,
0.007720947265625,
0.0006561279296875,
-0.01513671875,
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0.00714111328125,
0.08251953125,
-0.0269775390625,
0.042236328125,
0.0135498046875,
-0.0263671875,
0.01348876953125,
0.02490234375,
0.00142669677734375,
0.03076171875,
-0.038330... | 10,835 | 10835 | |
Integrals involving exponential
Question: $\int \frac{dx}{1+e^x}$ How to solve this ..? Please answer in steps thank you
Let $e^x$=t x=ln(t) dx=(1/t)*dt I= $\int 1/(1+e^x) dx = \int [(1/(t+1)*(1/t)] dt$ I= $\int$ {(1/t)-[1/(t+1)]} dt $I=ln(t)-ln(t+1)=ln( e^x)-ln( e^x+1)$ I=ln[ex/( ex+1)]+C I found this proof on the we... | 5 | [
-0.03271484375,
0.0184326171875,
0.0791015625,
-0.0260009765625,
0.10009765625,
-0.0986328125,
0.037353515625,
0.0196533203125,
-0.04296875,
0.04931640625,
0.01385498046875,
-0.0771484375,
0.01434326171875,
0.0634765625,
-0.01129150390625,
-0.0419921875,
0.003448486328125,
0.032714... | 10,836 | 10836 | |
Statistics
September 25th 2008, 08:00 AM
gibonwa33
Statistics
The service time of the first service of a BMW car is found to be normally distributed with a mean of 70 minnutes and a variance of 81 minutes.
1. If a customer brings her BMW car for its first service, what is the probability that the car will b... | 4 | [
-0.00170135498046875,
0.0498046875,
0.07080078125,
-0.029052734375,
-0.061279296875,
-0.0260009765625,
0.010986328125,
0.06396484375,
-0.0087890625,
0.036376953125,
0.0673828125,
-0.0205078125,
0.0247802734375,
0.037353515625,
0.0478515625,
-0.03173828125,
0.1171875,
-0.1513671875,... | 10,837 | 10837 | |
de
AP Chemistry by Satellite Lectureguide
Student Edition
... | 5 | [
0.02880859375,
-0.048828125,
0.0120849609375,
-0.034912109375,
-0.091796875,
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0.142578125,
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0.1279296875,
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0.029541015625,
-0.054931640625,
-0.04345703125,
0.01263427734375,
0.0252685546875,
0.0159912... | 10,838 | 10838 | |
A Brief Tour of FLP Impossibility
One of the most important results in distributed systems theory was published in April 1985 by Fischer, Lynch and Patterson. Their short paper ‘Impossibility of Distributed Consensus with One Faulty
Process’, which eventually won the Dijkstra award given to the most influential papers... | 4 | [
-0.0908203125,
-0.008056640625,
-0.07080078125,
0.017578125,
0.00506591796875,
-0.07080078125,
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0.04541015625,
0.0322265625,
-0.005767822265625,
-0.06201171875,
0.103515625,
0.0299072265625,
-0.035400390625,
-0.0279541015625,
-0.033203125,
0.044189453125,
-0.043945312... | 10,839 | 10839 | |
bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 256.30025
Autor: Erdös, Paul; Renyi, Alfréd
Title: On random entire functions. ... | 4 | [
-0.049072265625,
0.013671875,
-0.059326171875,
0.02685546875,
0.0732421875,
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0.0078125,
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0.07958984375,
0.042236328125,
-0.007415771484375,
-0.00787353515625,
-0.03857421875,
-0.01953125,
-0.0473632812... | 10,840 | 10840 | |
2 More Questions
March 9th 2009, 11:05 PM #1
Newbie
Joined
Mar 2009
Posts
8
2 More Questions
1. Find all solutions, if any, to the system of congruences.
x = 5 (mod 6)
x = 3 (mod 10)
x = 8 (mod 15)
I tried following an example out of my book and got the following, which I'm fairly sure ... | 4 | [
-0.08935546875,
0.0693359375,
-0.01446533203125,
-0.0294189453125,
0.0517578125,
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0.08984375,
0.038330078125,
-0.099609375,
-0.00494384765625,
0.00052642822265625,
-0.043212890625,
0.10498046875,
0.00994873046875,
-0.00360107421875,
0.0703125,
-0.028564453125,
0.02... | 10,841 | 10841 | |
Sketchpad
Newton's Organic Construction
Isaac Newton published the following construction for a general conic section, which he called his "organic" construction. Newton's original description is almost incomprehensible. A somewhat
more understandable, although still a bit dated, one is given by S... | 4 | [
-0.07421875,
-0.025146484375,
-0.06689453125,
-0.040771484375,
-0.0172119140625,
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0.076171875,
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0.080078125,
0.09423828125,
-0.03955078125,
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0.0400390625,
0.00714111328125,
0.123046875,
-0.1298828125,
0.01141357421875,
... | 10,842 | 10842 | |
Arithmetic Progression
April 14th 2008, 07:03 AM
Tangera
Arithmetic Progression
Hello! I just learnt arithmetic progression and I am confused about all the formula, so I would appreciate if someone showed me an example using the question below...Thank you very much!!
Q: In an arithmetic progression, the sum... | 4 | [
-0.03125,
0.035888671875,
0.08349609375,
-0.1015625,
-0.03076171875,
0.025146484375,
-0.0177001953125,
0.00186920166015625,
-0.01104736328125,
0.068359375,
0.06787109375,
-0.03759765625,
0.038330078125,
-0.02880859375,
-0.019287109375,
0.0252685546875,
-0.06591796875,
0.02880859375... | 10,843 | 10843 | |
Finding path length of curve
October 21st 2009, 01:53 AM #1
Newbie
Joined
Oct 2009
Posts
1
Finding path length of curve
Find the path length of y= (x^3)/(a^2) + (a^2)/(12x)
I know I'm supposed to be integrating ds = dx (1+ (dy/dx)^2)^1/2
but i'm having trouble simplifying the expression inside ... | 5 | [
0.048828125,
-0.03466796875,
-0.019775390625,
-0.0166015625,
-0.07373046875,
-0.01348876953125,
-0.041015625,
0.04443359375,
0.034912109375,
0.04248046875,
0.09228515625,
0.07568359375,
-0.02783203125,
0.00494384765625,
-0.078125,
0.047119140625,
-0.053955078125,
0.048095703125,
... | 10,844 | 10844 | |
Math Help
January 20th 2009, 01:33 AM #1
Senior Member
Joined
Jan 2009
Posts
381
numbers
(1) How many trailing zeros will be there after the rightmost non-zero digit in the value of 25! ?
(2) What is the remainder when 1044*1047*1050*1053 is divided by 33 ?
(1) How many trailing zeros will b... | 5 | [
-0.052734375,
0.00113677978515625,
0.0166015625,
-0.0693359375,
-0.01953125,
0.0108642578125,
0.08349609375,
0.08447265625,
-0.045166015625,
0.0576171875,
0.029052734375,
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0.04052734375,
0.041748046875,
-0.054443359375,
-0.02880859375,
-0.111328125,
0.04345703125,
-... | 10,845 | 10845 | |
Parametric Equations
From Math Images
(Difference between revisions)
Bjohn1 Bjohn1
( (
Talk ... | 4 | [
-0.1279296875,
0.0147705078125,
-0.0257568359375,
-0.04931640625,
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-0.0849609375,
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0.00927734375,
0.006256103515625,
-0.0693359375,
0.06787109375,
-0.03564453125,
0.005950927734375,
0.03076171875,
-0.0181884765625,
0.05908203125,
-0.058349609375,
-0.0... | 10,846 | 10846 | |
Complex Analysis-- Integral
Evaluate: ∫C e^z (z-1)(z-2)^2 / sin^2 pi z where C is the circle │z│= 2.5
Are we talking about: $<br /> \int\limits_C {\frac{{e^z \left( {z - 1} \right)\left( {z - 2} \right)^2 }}{{\sin ^2 \left( {\pi z} \right)}}} dz<br />$ Because then I find non-zero residues for all
the poles (-2,-1,0,1... | 5 | [
0.02001953125,
0.07080078125,
-0.041748046875,
0.034423828125,
0.0947265625,
-0.0213623046875,
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0.056396484375,
0.0341796875,
0.032958984375,
0.031982421875,
-0.051513671875,
-0.02197265625,
0.0294189453125,
-0.017822265625,
-0.0625,
0.05224609375,
-0.03515625,
-0.... | 10,847 | 10847 | |
Spherical Coordinates -
Next: Waves Up: Basics Potential Solutions Previous: Cylindrical Coordinates,
For axisymmetric solutions, that is solution independent of
As in the case of cylindrical coordinates there are many particular solutions. There are a few basic important solutions and the rest are given in terms ... | 4 | [
-0.11328125,
0.02880859375,
0.039306640625,
-0.03173828125,
0.064453125,
0.006011962890625,
0.0186767578125,
0.01708984375,
-0.08203125,
-0.0235595703125,
0.03076171875,
-0.03662109375,
-0.0458984375,
-0.0133056640625,
0.07568359375,
-0.041015625,
-0.09619140625,
-0.125,
-0.02526... | 10,848 | 10848 | |
Radius of curvature problem
March 13th 2009, 11:54 AM #1
Member
Joined
Nov 2008
Posts
114
Radius of curvature problem
I'm having a little trouble finding the radius of curvature for problems of the following form
$y^n=f(x)$
For examples. I'm asked to find the radius of curvature at the point (0... | 5 | [
0.0194091796875,
-0.07373046875,
-0.00139617919921875,
0.02099609375,
-0.008544921875,
-0.029296875,
-0.07421875,
0.083984375,
0.004241943359375,
-0.0228271484375,
0.083984375,
0.0023040771484375,
-0.061279296875,
0.039794921875,
-0.00244140625,
0.09423828125,
0.0208740234375,
-0.0... | 10,849 | 10849 | |
Regression on Categorical Variables
This morning, Stéphane asked me tricky question about extracting coefficients from a regression with categorical explanatory variates. More precisely, he asked me if it was possible to store the
coefficients in a nice table, with information on the variable and the modality (those t... | 5 | [
-0.034912109375,
-0.00811767578125,
0.005126953125,
0.0576171875,
0.0595703125,
0.10205078125,
-0.023681640625,
-0.024169921875,
-0.07958984375,
-0.00921630859375,
0.09375,
-0.05908203125,
0.0027618408203125,
-0.004547119140625,
0.062255859375,
0.10888671875,
-0.00909423828125,
0.0... | 10,850 | 10850 | |
(infinity,1)-Grothendieck construction
Context
$(\infty,1)$-Category theory
Background
Basic concepts
Universal constructions
Local presentation
Theorems
Models
Contents
Idea
The $(\infty,1)$-Grothendieck construction is a generalization of the Grothendieck construction – which establishes an equivalence
$Fi... | 4 | [
-0.08056640625,
-0.06689453125,
-0.0191650390625,
-0.025390625,
0.01287841796875,
0.052734375,
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0.033447265625,
0.0211181640625,
0.004180908203125,
0.025146484375,
-0.08349609375,
-0.08203125,
0.0021514892578125,
0.045166015625,
-0.068359375,
0.02490234375,
-0.032226562... | 10,851 | 10851 | |
Was Euler wrong? 2*Pi=0?
Date: 03/13/2002 at 17:06:43
From: Warren
Subject: Was Euler wrong? 2*Pi=0?
It is well known that e^(Pi*i) = -1, according to Euler's formula.
While I was surfing the Internet last week, however, I stumbled
across a website with an interesting proof that shows that 2*Pi = 0
by using Euler's ... | 5 | [
-0.107421875,
0.01953125,
0.06787109375,
0.1416015625,
0.0108642578125,
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0.0556640625,
0.00897216796875,
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0.0111083984375,
-0.00049591064453125,
-0.0269775390625,
-0.064453125,
-0.0247802734375,
... | 10,852 | 10852 | |
Compute fast log base 2 ceiling
up vote 19 down vote favorite
1
What is a fast way to compute the (long int) ceiling(log_2(i)), where the input and output are 64-bit integers? Solutions for signed or unsigned integers are acceptable. I suspect the best way will
be a bit-twiddling method similar to those found here, bu... | 5 | [
0.0380859375,
0.0274658203125,
-0.09716796875,
-0.016845703125,
-0.0057373046875,
-0.10107421875,
-0.0247802734375,
0.015625,
-0.05908203125,
-0.0189208984375,
-0.1181640625,
-0.064453125,
0.049072265625,
-0.006195068359375,
0.01373291015625,
0.0306396484375,
-0.07666015625,
0.0781... | 10,853 | 10853 | |
Euclidean inside Hyperbolic
up vote 3 down vote favorite
One can make a model of the hyperbolic plane inside the Euclidean plane, either using the conformal model or projective model.
How does one make a model of the Euclidean plane inside the hyperbolic plane?
mg.metric-geometry
3 math.SE duplicate! math.stacke... | 4 | [
-0.056884765625,
-0.0286865234375,
-0.10107421875,
-0.0751953125,
-0.039306640625,
-0.05224609375,
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0.057373046875,
-0.0186767578125,
0.091796875,
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0.00982666015625,
0.0145263671875,
-0.05517578125,
-0.0084228515625,
... | 10,854 | 10854 | |
not so very short demo of LFT ?
November 23rd 2005, 05:16 AM #1
Newbie
Joined
Nov 2005
Posts
2
not so very short demo of LFT ?
high everybody (nobody included)
I need your help to find the mistake probably hidden in this very short attempt of a demonstration of the LFT théorème (please excuse my engl... | 4 | [
-0.076171875,
-0.0264892578125,
0.08056640625,
-0.039306640625,
0.11572265625,
0.07373046875,
0.1044921875,
0.07080078125,
-0.032958984375,
-0.0213623046875,
0.0439453125,
0.05322265625,
0.0069580078125,
-0.00323486328125,
0.0150146484375,
0.0184326171875,
-0.0419921875,
-0.0756835... | 10,855 | 10855 | |
Delta-convex functions and inner products
up vote 3 down vote favorite
1
A delta-convex (d.c.) function is one which can be written as the difference of two convex functions.
The space of d.c. functions includes all C^2 functions, and is interesting because it allows many notions from differential geometry to be gene... | 4 | [
-0.052734375,
-0.0732421875,
0.045654296875,
-0.0712890625,
-0.00628662109375,
-0.046142578125,
0.027587890625,
-0.0166015625,
0.07373046875,
0.1044921875,
-0.0308837890625,
0.0390625,
-0.057861328125,
0.0206298828125,
0.05126953125,
-0.05615234375,
0.019287109375,
0.0693359375,
... | 10,856 | 10856 | |
Expressing product in polar and retangular form:
December 19th 2007, 08:06 PM #1
Newbie
Joined
Dec 2007
Posts
11
Expressing product in polar and retangular form:
I have to convert this to polar and rectangular form:
(8 cis pi/3)(1/2 cis (-2pi/3)) = 4 cis 5pi/3, 2-2i (sq. root 3)
I just don't kno... | 4 | [
-0.10595703125,
-0.033203125,
-0.033935546875,
-0.0020599365234375,
-0.05419921875,
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0.047607421875,
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0.08447265625,
0.037353515625,
0.06298828125,
-0.007598876953125,
-0.0485839843... | 10,857 | 10857 | |
Math Forum Discussions
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Topic: A not expected asymptotical test statistics
Replie... | 5 | [
0.017333984375,
-0.053466796875,
0.0113525390625,
0.1005859375,
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0.11962890625,
-0.051025390625,
0.033447265625,
-0.0019683837890625,
-0.01031494140625,
-0.03369140625,
-0.0576171875,
... | 10,858 | 10858 | |
Is this done correctly?
September 16th 2007, 02:44 PM
circuscircus
Is this done correctly?
A tank contains 300 gal of salt free water. A brine containing .5lb of salt per gallon of water runs into the tank at the rate of 2 gal/min and the well stirred mixtur runs out at the rate of 2
gal/min. What is the con... | 5 | [
-0.03515625,
0.047119140625,
0.0322265625,
-0.11328125,
-0.055419921875,
-0.04052734375,
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0.05224609375,
-0.03515625,
0.03515625,
0.035888671875,
-0.12353515625,
0.10986328125,
0.01153564453125,
-0.046875,
0.044677734375,
-0.0250244140625,
-0.00885009765625,
-0.0917... | 10,859 | 10859 | |
[Numpy-discussion] Numpy and iterative procedures
Geoffrey Zhu gzhu@peak6....
Fri Feb 16 10:39:04 CST 2007
Hi Nadav,
The code is attached at the end. There is probably still bugs in there
but it does not prevent me from showing the difficulity.
If you look at the inner loop below, you will see that vector v is
upda... | 4 | [
-0.0478515625,
0.000789642333984375,
0.01470947265625,
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0.0810546875,
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-0.001434326171875,
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0.018310546875,
-0.0532... | 10,860 | 10860 | |
Cone of a morphism in an abelian category when considered as a morphism in derived category. Connection between 4-term exact sequences and distinguished triangles.
up vote 3 down vote favorite
Let $\mathcal{A}$ be an abelian category and let $$ 0 \rightarrow E \rightarrow F \rightarrow G \rightarrow 0 $$ be a short ex... | 5 | [
-0.027099609375,
0.048095703125,
0.03125,
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0.01507568359375,
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0.083984375,
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-0.07275390625,
-0.0277099609375,
0.05322265625,
0.000335693359375,
-0.047607421875,
-0.004547119... | 10,861 | 10861 | |
Coxeter group
Context
Group Theory
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Contents
Idea
A Coxeter group is a group determined by a Coxeter matrix, and is a combinatorial abstraction of the idea of a reflection group... | 4 | [
-0.01904296875,
0.000797271728515625,
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0.052490234375,
-0... | 10,862 | 10862 | |
true or false: statement concerning initial value problems
November 20th 2012, 09:16 AM
huberscher
true or false: statement concerning initial value problems
Hello
I'm not sure here:
...
Are the following statements true or false? Prove your answer!
1)
The curve $t \mapsto (a*cos(t),b*sin... | 5 | [
-0.09423828125,
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0.0091552734375,
0.023193359375,
-0.004302978515625,
-0.... | 10,863 | 10863 | |
A Quick Normality Test Easily Done In Excel
The Normality Test
Simple and Done in Excel
The normality test is used to determine whether a data set resembles the normal distribution. If the data set can be modeled by the normal distribution, then statistical tests involving the normal
distribution and t distribution s... | 5 | [
0.058837890625,
0.0264892578125,
-0.03173828125,
-0.0014190673828125,
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0.0203857421875,
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0.0216064453125,
0.031494140625,
-0.08447265625,
0.09375,
-0.00625... | 10,864 | 10864 | |
Polygons at a Point
May 1st 2006, 02:00 AM
Chuck_3000
Polygons at a Point
Hey people, i have another problem i'm having trouble with!
Certain sets of regular polygons fill space around a point without gaps or overlapping. e.g. imagine 3 hexagons joined together and the common vertice is the point they surro... | 5 | [
0.01055908203125,
-0.0120849609375,
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0.035400390625,
0.031494140625,
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0.00836181640625,
-0.044189453125,
0.09765625,
-0.056396484375,
-0.078125,
-0.10400... | 10,865 | 10865 | |
Prime Factors, Modular Arithmetic, and Using Pari
Date: 08/08/2007 at 05:14:39
From: James
Subject: arithmetic progression problem
For some reason, I'm finding this problem (which appears to be quite
innocent) to be very difficult. Can someone here please help?
Suppose we have two positive integers 'a' and 'b'. Is... | 5 | [
-0.0179443359375,
0.056396484375,
-0.01214599609375,
-0.0098876953125,
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0.... | 10,866 | 10866 | |
Quotients of Schemes by Free Group Actions
up vote 11 down vote favorite
11
I've often seen people in seminars justify the existence of a quotient of a scheme by an algebraic group by remarking that the group action is free. However, I'm pretty sure they are also invoking
something else. So my question is: when you ca... | 4 | [
-0.1337890625,
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0.04052734375,
-0.0126953125,
-0.01507568359375,
-0.0... | 10,867 | 10867 | |
vFitness: a web-based computing tool for improving estimation of in vitro HIV-1 fitness experiments
Abstract
Background
The replication rate (or fitness) between viral variants has been investigated in vivo and in vitro for human immunodeficiency virus (HIV). HIV fitness plays an important role in the development and... | 4 | [
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0.00164... | 10,868 | 10868 | |
Prove a and b are Perfect Squares
Date: 12/28/2001 at 01:09:13
From: salman
Subject: Number theory
Hello, Dr. Maths,
Please help me in solving the folowing question:
Let a and b be positive integers such that (a,b) = 1 and ab is a
perfect square. Prove that a and b are perfect squares.
Thanks.
Date: 01/02/2002 ... | 5 | [
-0.005523681640625,
0.033447265625,
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0.06005859375,
0.07080078125,
0.07568359375,
-0.04150390625,
-0.04... | 10,869 | 10869 | |
Proof That All Numbers Are Equal?
Date: 12/06/2005 at 17:00:34
From: RV
Subject: All numbers are equal
Theorem: All numbers are equal.
Proof: Choose arbitrary a and b, and let t = a + b. Then
a + b = t
(a + b)(a - b) = t(a - b)
a^2 - b^2 = ta - tb
a^2 - ta = b^2 - tb
a^2 - ta + ... | 4 | [
-0.1103515625,
0.04736328125,
0.01904296875,
0.00299072265625,
-0.06591796875,
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0.0113525390625,
0.060546875,
0.02978515625,
0.041259765625,
0.00250244140625,
0.051513671875,
0.0595703125,
0.00750732421875,
-0.00830078125,
-0.06689453125,
-0.06201... | 10,870 | 10870 | |
Inverted Pendulum
This is a simple example of the development a physically accurate simulation. It includes all the derived physics, and the Java code that handles the simulation. I have used the same kind of
derivation in video games.
How to develop a physically correct simulation of an inverted pendulum
Start with... | 4 | [
-0.01904296875,
-0.01275634765625,
0.0167236328125,
-0.033447265625,
-0.06201171875,
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0.060302734375,
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0.028564453125,
-0.08544921875,
-0.031494140625,
0.055908203125,
-0.005310058593... | 10,871 | 10871 | |
Efficient algorithm for finding the minima of a piecewise linear function
up vote 2 down vote favorite
Consider real numbers $a_i$ and $b_i$ for $i=1\dots n$ and define a function by
$f(x) = \max_i ( a_i + b_i x )$
We desire to find $\min_x f(x)$. Obviously this occurs at an intersection of two lines:
$x = - \frac{... | 5 | [
-0.017578125,
-0.0303955078125,
-0.003662109375,
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0.015625,
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0.008544921875,
0.0303955078125,
-0.028564453125,
-0.0225830078125,
0.07470703125,
0.0859375,
-0.0162353... | 10,872 | 10872 | |
Is there a physical intuition for Darboux's theorem?
up vote 12 down vote favorite
8
We know that there is a physical interpretation for symplectic manifolds (briefly, the fact that a sympletic form assigns to any Hamiltoninan a vector field which describes the motion of particles).
My question is if there is a physic... | 4 | [
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0.07275390625,
-0.00058746337890625,
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0.0400390625,
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-0.03564453125,
-0.055419921875,
0.05712890625,
-0.05419921875,
-0.068359375,
-0.... | 10,873 | 10873 | |
.
5. AFTERGLOW RADIATION MODELS
The external shock starts to develop as soon as the ejecta expands into the external medium. As the ejecta plows ahead, it sweeps up an increasing amount of external matter, and the bolometric
luminosity of the shock increases as L t^2 (equating in the contact discontinuity frame the k... | 4 | [
-0.0390625,
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0.053466796875,
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0.01446533203125,
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0.01055908203125,
0.0712890625,
-0.0673828... | 10,874 | 10874 | |
Show that the equation has real and distinct roots
February 9th 2011, 11:12 PM #1
Question: show that the roots of the equation $(px-1)^2 +3px -5 = 0$ are real and distinct for all real values of $p$ and $p eq 0$
My workings:
$(px-1)^2 +3px -5 = 0$
$p^2x^2 -2px +1 +3px -5 = 0$
$p^2x^2 +px -4= 0$... | 4 | [
-0.047607421875,
-0.02294921875,
0.05908203125,
0.0228271484375,
-0.02734375,
0.049560546875,
0.01409912109375,
-0.00738525390625,
0.044189453125,
-0.038330078125,
0.051025390625,
0.00099945068359375,
-0.01300048828125,
0.10595703125,
-0.027099609375,
0.006072998046875,
0.01013183593... | 10,875 | 10875 | |
extrema points
October 31st 2006, 11:05 AM
bobby77
extrema points
find absolute maximum of function f(x)= e^(-x)/(1+x^2)
(a)1
(b)2
(3)e^-1
(d)e^-1/2
(e)none
2.find minimum value of function f(x)=xlnx
(a)-e
(b)-1
(c)-1/e
(d)e^1/e
(e)none
October 31st 2006, 11:26 AM
t... | 5 | [
0.0306396484375,
0.0198974609375,
0.0252685546875,
-0.10107421875,
0.005279541015625,
-0.046875,
0.00201416015625,
0.140625,
0.0091552734375,
0.0093994140625,
0.0751953125,
-0.0615234375,
0.083984375,
0.0019683837890625,
-0.013916015625,
-0.0274658203125,
0.0615234375,
-0.078125,
... | 10,876 | 10876 | |
Bloom Filters: Designing a Spellchecker
Posted by: Sameer Agarwal | March 2, 2008
Bloom Filters: Designing a Spellchecker
Bloom filters are highly space/time efficient probabilistic data structures that are used to solve the membership problem of a set, that is, given an element, it is used to find out whether the
pa... | 4 | [
-0.01373291015625,
0.045166015625,
-0.01611328125,
0.0067138671875,
-0.0615234375,
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-0.0595703125,
0.0186767578125,
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0.016845703125,
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-0.044677734375,
-0.087890625,
0.0225830078125,
0.007110595703125,
0.00286865... | 10,877 | 10877 | |
Perfect numbers, part II
In my last post I introduced the concept of perfect numbers, which are positive integers n for which $\sigma(n) = 2n$, where $\sigma(n)$ denotes the sum of all the divisors of n. Incidentally, we
could write the definition of $\sigma(n)$ as
$\displaystyle \sigma(n) = \sum_{d|n} d$,
that is, ... | 5 | [
-0.033447265625,
-0.0576171875,
0.07177734375,
0.03076171875,
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0.08056640625,
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-0.0810546875,
-0.03515625,
-0.0247802734375,
0.01239013671875,
0.046875,
... | 10,878 | 10878 | |
e
The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. A system of popular trigonometry - Page viby George Darley - 1835Full view
-
About this book
Thomas Jephson - Calculus - 1826
...'Va/ series. Hence /. 10 = '9 + -'- x ('9)2 4- fx ('9)3 + &c. = 2-302585093, £c. ... | 4 | [
-0.08544921875,
-0.01275634765625,
-0.0162353515625,
-0.033935546875,
-0.07275390625,
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0.07568359375,
0.0286865234375,
-0.0240478515625,
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0.026611328125,
-0.03125,
-0.0269775390625,
-0.10302734375,
0.069335937... | 10,879 | 10879 | |
Treatise On Analysis Vol-Ii
13 EXTENSIONS OF HERMITIAN OPERATORS 437
(c) Deduce from (b) that there exists at least one bounded positive measure v on R
with respect to which the powers /" (n ;> 0) are integrable, and which extends the linear
form OCF , so that the Pn form a (not necessarily total) orthonorma... | 4 | [
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0.0201416015625,
0.017333984375,
-0.0732421875,
-0.054443359375,
-0.04541015625,
0.0... | 10,880 | 10880 | |
Series approximation(s) of a difficult recursive equation
up vote 2 down vote favorite
1
New user here. I'm working on trying to get asymptotic solutions to the following recursive function:
$f(r)=\frac{1}{r-k}\lgroup\sqrt{\frac{2}{k^2-1}}+\sqrt{\frac{1}{2k^2-1}}\rgroup$ (Eqn. 1)
where $k$ is such that
$r=\frac{1}{... | 4 | [
-0.00958251953125,
-0.030517578125,
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0.038330078125,
-0.00921630859375,
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0.034423828125,
0.00262451171875,
0.052490234375,
-0.06005859375,
-0.015869140625,
0.0252685546875,
0.016357421875,
-0.059814453125,
-0.06689453125,
0.03173828125,... | 10,881 | 10881 | |
The Asymptotic Bode Diagram
The Asymptotic Bode Diagram: Derivation of Approximations
Contents
Given a transfer function, such as
the question naturally arises: "How can we display this function?" In the previous document the argument was made that the most useful way to display this function is with two plots, the ... | 4 | [
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0.0294189453125,
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-0.0296630859375,
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0.034423828125,
... | 10,882 | 10882 | |
Is a field uniquely determined by its multiplicative group/how much knows K_1 about fields?
up vote 4 down vote favorite
2
As the title says I would like to know if $K_1(k)=k^*$ uniquely determines a field $k$. For finite fields this is clearly the case, but I suspect it is not ture in general. However I guess cooking... | 5 | [
-0.030517578125,
-0.03076171875,
-0.0380859375,
-0.032958984375,
0.0166015625,
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0.06201171875,
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0.01104736328125,
-0.0169677734375,
0.06103515625,
-0.162109375,
0.016235351562... | 10,883 | 10883 | |
"Uniqueness of extension" results for measures on separable spaces
up vote 1 down vote favorite
Hello all.
I have the following (perhaps basic) question: Let $X$ be a separable metric space. Does there necessarily exist a countable set $\mathcal{C}$ of Borel sets in $X$ such that any two probability
measures which ag... | 5 | [
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0.07373046875,
0.062255859375,
0.0263671875,
0.0218505859375,
0.031982421875,
0.0012207031... | 10,884 | 10884 | |
Solve by completing the square
Solve by completing the square could take a little bit more time to do than solving by factoring. However, the steps are straightforward.
Before showing examples, you need to understand what a perfect square trinomial is
Binomial × same Binomial = Perfect square trinomial
(x + 4) × (... | 4 | [
0.03466796875,
0.037353515625,
0.06982421875,
0.05419921875,
-0.00052642822265625,
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-0.0155029296875,
0.044677734375,
0.0052490234375,
0.12109375,
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0.01458740234375,
0.049560546875,
-0.021728515625,
0.045654296875,
0.01904296875,
0.087... | 10,885 | 10885 | |
SST Calculation
October 21st 2010, 09:56 AM
bradm
SST Calculation
Ok, so I am thoroughly confused atm. Right now I am trying to do three things.
Calculate SS Total, and the explained sum of squared variation for SSR.
Ok so I had the outputs given to me of
Sum x = 30
Sum x squared = 104
Sum... | 4 | [
-0.044189453125,
-0.007659912109375,
-0.0177001953125,
-0.017578125,
-0.04150390625,
0.0888671875,
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0.07080078125,
-0.033203125,
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0.01239013671875,
0.020751953125,
0.033935546875,
0.005157470703125,
-0.0262451171875,
0.00823974609375,
-0.03076171875,... | 10,886 | 10886 | |
Aut(V)-action on [V,X]
I would like to understand the following question in an $\infty$-topos / in homotopy type theory:
Given an object $V$ with an action by a group $G$, and given another object $X$. How can we naturally construct $[V,X]\sslash G$, the quotient of the space of maps $V \to G$ by $G$ acting by
... | 4 | [
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0.11767578125,
0.08447265625,
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-0.02539... | 10,887 | 10887 | |
number of weighted trivalent trees
up vote 6 down vote favorite
3
Given a trivalent tree (graph without loops with valence of 3+ at each vertex) on N marked points, let's assign to each vertex the number (its valence - 3)! (note the ! at the end). Take the product
of these numbers over all vertices in the graph. Sum t... | 5 | [
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-0.0576171... | 10,888 | 10888 | |
Exponential Growth
September 30th 2008, 07:55 PM
n8thatsme
Exponential Growth
The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours.
(a) What is the relative rate of growth of the bacteria population?
(b) What was the initial size of the culture?
My big problem is how t... | 4 | [
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0.02734375,
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0.036376953125,
-0.017333984375,
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0.078125,
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0.0284423828125,
-0.103515625,
-0.051025390625,
-0.0... | 10,889 | 10889 | |
Finding the volume of a solid(3d)
March 22nd 2009, 02:46 PM
hp.phoenix3
Finding the volume of a solid(3d)
Problem: the solid lies between planes and perp. to the x-axis at x=-1 and x=1. the cross-sections perp. to the x-axis between these planes are squares whose base run from the semicircle y=
-sqrt1-x^2 to... | 5 | [
0.01531982421875,
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0.0281982421875,
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0.000629425048828125,
0.020751953125,
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-0.0272216796875,
0.0118408203125,
-0.0159912109375,
0.08154296875,
-0.048583984375,
-0.0380859375,
0.0032... | 10,890 | 10890 | |
presentations of the trivial group
up vote 2 down vote favorite
1
I just came across this statement in Bowditch's notes on geometric group theory that $\langle a,b\ |\ aba^{-1}b^{-2},a^{-2}b^{-1}ab \rangle$ is a presentation of the trivial group. Does anyone know
if all presentations of the form $\langle a,b\ |\ a^{i_... | 4 | [
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0.060546875,
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0.042236328125,
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-0.091796875,
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0.032958984375,
0.0027923583984375,
-0.02001... | 10,891 | 10891 | |
Finding the total area between the function and the x-axis
May 1st 2009, 08:46 AM #1
Newbie
Joined
Jan 2009
Posts
21
Finding the total area between the function and the x-axis
I'm supposed to find the area in the region between the function and the x-axis....
y = x^(1/3), [-1,8]
I divided it up... | 5 | [
0.052978515625,
-0.078125,
-0.06787109375,
-0.034912109375,
-0.01019287109375,
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0.0458984375,
0.058837890625,
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0.029296875,
0.06787109375,
0.0380859375,
0.08349609375,
-0.046630859375,
-0.1318359375,
... | 10,892 | 10892 | |
Calculating the Length of String on a Reel
Date: 12/07/2001 at 10:25:54
From: Larry Schworer
Subject: Calculate string on a reel
What is the formula for calculating the length of wire that can go on
a reel (spindel) where the reels may have different diameters, hub
diameters, and widths, and the wires may have diffe... | 4 | [
-0.056884765625,
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0.0180... | 10,893 | 10893 | |
experimental alternative definition of adjunction
This page is a result of the following question originally asked at adjunction:
Eric: Is it true that given categories $C$ and $D$ that functors $F:C\to D$ and $G:D\to C$ form an adjunction if the following diagram commutes for all morphisms $f:x\to y$ in $C$?
$\array... | 4 | [
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Computational Complexity
Bill has a
lot of posts
where he
questions
whether to teach Mahaney's theorem in a graduate complexity class. Since it is one of my
favorite theorems
and most of you young folk won't see a proof in your complexity classes, I'll give it here. This proof is not the original of Mahaney but b... | 4 | [
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Euclid Algorithm (extended)Part2 Doubt about pointers - INITIALIZATION
12-10-2006 #1
Registered User
Join Date
Nov 2006
Location
japan
Posts
126
As you know..., I have been trying to implement the Euclid Algorithm (finds the Greates Common Divisor)in C using functions, structures, and pointers...
... | 5 | [
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0.0029449462890625,
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-... | 10,896 | 10896 | |
Set Theory and Definability
up vote 4 down vote favorite
Let $\mathcal{G} = (G,\in)$ be some $\mathfrak{L}$ = {$\in$} structure (for this question a model of ZFC). Let $M$ be some definable class (using Jech's term) and $E$ some class-relation on M. Let $\
mathcal{M} = (M, E)$. $\varphi$ be a formula and let $\varphi^... | 4 | [
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0.0306396484375,
0.0269775390625,
0.00601196... | 10,897 | 10897 | |
Integration and Stokes' theorem for vector bundle-valued differential forms?
up vote 8 down vote favorite
6
Is there a version of Stokes' theorem for vector bundle-valued (or just vector-valued) differential forms?
Concretely: Let $E \rightarrow M$ be a smooth vector bundle over an $n$-manifold $M$ equipped with a co... | 5 | [
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0.0595703125,
... | 10,898 | 10898 | |
Simulated Annealing
Go to the first, previous, next, last section, table of contents.
Stochastic search techniques are used when the structure of a space is not well understood or is not smooth, so that techniques like Newton's method (which requires calculating Jacobian derivative
matrices) cannot be used. In particu... | 5 | [
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0.0197... | 10,899 | 10899 |