content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
y`=y+2 Seems Simple, but i can't match the answer up to it.
The equation is: dy/dx=y+2 The answer is y=Cex-2 Can anyone explain this?
The answer looks correct. You can easily check if it's correct yourself by finding the derivative and plugging it back into the equation.
If you also want to see why write the equation... | 5 | [
-0.03271484375,
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0.058837890625,
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0.022216796875,
0.07177734375,
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0.034423828125,
0.004486083984375,
-0.037841796875,
-0.040771484375,
0... | 13,400 | 13400 | |
T
Dataplot Vol 1 Auxiliary Chapter
FRIEDMAN TEST
Name:
Type:
Purpose:
Perform a Friedman test that k treatments are identical.
Description:
The Friedman test is a non-parametric test for analyzing randomized complete block designs. It is an extension of the sign test when there may be more than two tr... | 5 | [
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0.061279296875,
-0.00125885009765625,
0.0230712890625,
0.05908203125,
0.04418945312... | 13,401 | 13401 | |
Lebesgue measure
The
Lebesgue measure
is the standard way of assigning a
volume
to subsets of
Euclidean space
. It is used throughout
real analysis
, in particular to define
Lebesgue integration
. Sets which can be assigned a volume are called
Lebesgue measurable
; the volume or measure of the Lebesgue mea... | 4 | [
-0.0390625,
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0.064453125,
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0.036865234375,
-0.0211181... | 13,402 | 13402 | |
Multiplication of
● The general rule is that each term in the first factor has to multiply each term in the other factor
● The number of products you get has to be the number of terms in the first factor times the number of terms in the second factor. For example, a binomial times a binomial gives four products,
... | 4 | [
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0.0... | 13,403 | 13403 | |
Color image segmentation using multi-level thresholding approach and data fusion techniques: application in the breast cancer cells images
Abstract
In this article, we present a new color image segmentation method, based on multilevel thresholding and data fusion techniques which aim at combining different data source... | 4 | [
0.07275390625,
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0.038085937... | 13,404 | 13404 | |
Form a Polynomial given degree and zeros
October 28th 2009, 08:22 PM
osumatt
Form a Polynomial given degree and zeros
Hello. Any help would be appreciated on showing me how to solve this problem. (Rofl)
Form a polynomial with real coefficients having a degree of 3 and zeros -5 and 1+i.
October 28th 2009, 0... | 4 | [
-0.10986328125,
0.07275390625,
0.006927490234375,
0.115234375,
0.037109375,
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0.0283203125,
-0.057373046875,
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0.057861328125,
-0.026611328125,
-0.0242919921875,
-0.0498046875,
-0.01... | 13,405 | 13405 | |
Shimura-Taniyama conjecture
From Encyclopedia of Mathematics
2010 Mathematics Subject Classification: Primary: 11G05 Secondary: 11D4111F1111F8011G18 [MSN][ZBL]
Shimura–Taniyama–Weil conjecture, Taniyama–Shimura conjecture, Taniyama–Weil conjecture, modularity conjecture
A conjecture that postulates a deep connectio... | 4 | [
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... | 13,406 | 13406 | |
Shortest Distance Between Two Vectors
Date: 04/07/98 at 02:39:55
From: blah
Subject: Vectors
How do you find the distance between the lines (1,2,3) + s(1,0,-1)
and x = 0, y = 1+2t, z = 3+t?
I think I have to change the lines to (1+s,2,3-s) and (0,1+2t,3+t)
then do d = (|a1 - a2|.(b1 x b2))/|b1 x b2| where a1 and a2... | 5 | [
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0.0419921875,
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0.02685546875,
-0.06201171875,
0.002105712890625,
-0.013916015625,
-0.071... | 13,407 | 13407 | |
Weekly Challenge 34: Googol
Copyright © University of Cambridge. All rights reserved.
The numbers in the problem are too large for computers to deal with in a straightforward fashion (or, rather, were in 2011), so we need to use pure mathematics to help us. There are at least two
possible positive ways forwards:
Fir... | 5 | [
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0.044189453125,
0.00421142578125,
0.06127929687... | 13,408 | 13408 | |
evaluating limits with trig functions
February 8th 2009, 09:10 PM #1
Member
Joined
Feb 2009
Posts
91
evaluating limits with trig functions
Hi
I am on my last question so hopefully someone is still out there to help me!
Question says "evaluate the following limits"
First
lim x/tan x
... | 4 | [
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0.045166015625,
0.04931640625,
0.0225830078125,
0.06689453125,
... | 13,409 | 13409 | |
calculating a 2D Savitzky-Golay kernel
I've been using Savitzky-Golay (SG) filters for quite a while, but always on 1D data, using an implementation based on the algorithm from the Numerical Recipes to calculate the kernel (mask,
coefficients, however you wish to call them).
Apparently this filter is also useful for i... | 4 | [
-0.044921875,
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-0.00982666015625,
-0.054443359375,
-0.021728515625,
-0.0505371093... | 13,410 | 13410 | |
Upper bound for class number of a real quadratic field
up vote 10 down vote favorite
3
Unless I am mistaken, we know that an upper bound for the class number $h(D)$ of a real quadratic field $\mathbb{Q}(\sqrt{D})$ is $O(D^{1/2})$. Is the exponent of $1/2$ known to be the best possible?
Also, is there any better expon... | 5 | [
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0.078125,
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-0.02294921875,
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0.0155029296875,
0.0185546875,
-0.0397... | 13,411 | 13411 | |
Reading seminar 6: "Stable group theory and approximate subgroups", by Ehud Hrushovski
This is the last reading seminar of this quarter for the Hrushovski paper. Anush Tserunyan continued working through her notes on stable theories. We introduced the key notion of non-forking
extensions (in the context of stable theor... | 4 | [
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0.028564453125,
-0.042236328125,
-0.018676757... | 13,412 | 13412 | |
nklein software
Lines Are Big Circles September 13th, 2013
Patrick Stein
In previous posts here, I described using Clifford algebras for representing points and rotations. I was never very satisfied with this because the translations were still tacked on rather than
incorporated in the algebra. To represent geometric ... | 4 | [
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0.03515625,
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0.00051116943359375,
0.0015411376953125,
-0.047119... | 13,413 | 13413 | |
How Much Can We Spend?
Copyright © University of Cambridge. All rights reserved.
Adam and Dylan had some great ideas, Sam explains his thoughts clearly:
The largest number that can't be made is 7. This is because the lowest run of three numbers you can make is 8,9 and 10. If you make this using 5 or 3 and then keep a... | 4 | [
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0.01385498046875,
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0.0859375,
-0.14453125,
0.01068115234375,
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0.01251220703125,
0.0113525390625,
-0.06298828125,
0.027099609375,
0.04248046875... | 13,414 | 13414 | |
Vertically Shot Bullet Landing Speed
Name: David
Status: other
Age: N/A
Location: N/A
Country: N/A
Date: N/A
Question: In the real world, (not the physics world of no air resistance), how do I calc... | 5 | [
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-0.041259765625,
0.06396484375,
0.0339... | 13,415 | 13415 | |
Derivation of Bessel functions
up vote 2 down vote favorite
3
I am writing a summary on a work on Fluid Dynamics that develops irrotational flow states that appear to interact amongst each other according to the equations of Electromagnetism http://arxiv.org/
abs/1301.7540
So it begins with Euler Equations of invisci... | 4 | [
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0.07080078125,
-0.0216064453125,
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0.0242919921875,
-0.09033203125,
-0... | 13,416 | 13416 | |
h
The Department of Mathematics Education
The Product of Two Linear Functions
eac... | 4 | [
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0.031494140625,
0.0162353515625,
-0.039794921875,
0.0908203125,
-0.10302734375,
0.0644... | 13,417 | 13417 | |
Anna University Lab Manuals For Engineering Students
CALCULATION OF MASS TRANSFER COEFFICIENT AND POWER NUMBER CORRELATION
AIM:
To calculate the volumetric mass transfer coefficient (K[L]a ) using power number correlation.
INTRODUCTION:
The trad... | 4 | [
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0.047607421875,
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0.059326171875,
-0.103515625,
-0.035888671875,
-0.006805419921875,
... | 13,418 | 13418 | |
A006318 - OEIS
A006318 Large Schroeder numbers. 171
(Formerly M1659)
1, 2, 6, 22, 90, 394, 1806, 8558, 41586, 206098, 1037718, 5293446, 27297738, 142078746, 745387038, 3937603038, 20927156706, 111818026018, 600318853926, 3236724317174, 17518619320890, 95149655201962,
518431875418926 (list; graph; refs; ... | 4 | [
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-0.031005859375,
-0.054443359375,
0.04541015625,
-0.010009765625,
-0.07... | 13,419 | 13419 | |
The Data Link Layer
3.2. Error Detection and Correction
As we saw in Chap. 2, the telephone system has three parts: the switches, the interoffice trunks, and the local loops. The first two are now almost entirely digital in most developed countries. The
local loops are still analog twisted copper pairs and will contin... | 4 | [
-0.072265625,
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0.09765625,
-0.0020294189453125,
-0.0096435546875,
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0.045654296875,
-0.0017547607421875,
-0.0203857421875,
0.0242919921875,
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0.059326171875,
-0.049560546875,
-0.0380859375,
-0.050048828125,
0.0361328125,
-0.04223... | 13,420 | 13420 | |
mathschallenge.net
Christmas Trees
Problem
When Christmas trees are planted they should stand at least 2 metres away from one another whilst growing.
What is the maximum number of trees that can be planted in one square kilometre?
Solution
The best arrangement is a triangular matrix:
By applying the Pythagorean T... | 4 | [
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0.045166015625,
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0.00010347366333007812,
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... | 13,421 | 13421 | |
Modern Two-Sample Tests
When you are a student, one of the first problems you learn about is the two-sample test. So you might think that this problem is old news. But it has had a revival: there is a lot of recent research
activity on this seemingly simple problem. What makes the problem still interesting and challeng... | 4 | [
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0.1171875,
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0.029296875,
0.01544189453125,
0.00714111328125,
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-0.027587890625,
-0.00897216796875,
0.11181640625,
-0.0177001953125,
0.037109375,
0.0595703125... | 13,422 | 13422 | |
Cache Placement Analysis
Strategic placement of supplies is an essential part of many outdoor activities ranging from simple dayhikes in hot weather to multiday expeditions. This study analyzes how the number and location of
caches effects the additional effort required to transport the corresponding supplies.
Denote ... | 4 | [
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0.07568359375,
0.007659912109375,
0.0615234375,
-0.000016570091247558594,
-0.09326171875,
0.061279296875,
0.0157470703125,
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-0.030029296875,
0.0145263671875,... | 13,423 | 13423 | |
mo
Previous Section
Part 1: Observations of Global Properties
Part 2: Homogeneity and Isotropy; Many Distances; Scale Factor
Part 3: Spatial Curvature; Flatness-Oldness; Horizon
Part 4: Inflation; Anisotropy and Inhomogeneity
F... | 4 | [
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-0.040771484... | 13,424 | 13424 | |
MIU in Haskell
In the Theory Lunch of the last week, James Chapman talked about the MU puzzle from Douglas Hofstadter’s book Gödel, Escher, Bach. This puzzle is about a string rewriting system. James presented a
Haskell program that computes derivations of strings. Inspired by this, I wrote my own implementation, with... | 4 | [
-0.0927734375,
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0.055908203125,
-0.0576171875,
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0.1083984375,
0.01177978515625,
0.01019287109375,
... | 13,425 | 13425 | |
Distributive Property: (x+2)(x+4)
Associated Topics || Dr. Math Home || Search Dr. Math
Distributive Property: (x+2)(x+4)
... | 4 | [
0.027099609375,
0.055908203125,
0.06982421875,
0.0004596710205078125,
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0.03271484375,
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0.01043701171875,
-0.03955078125,
-0.005706787109375,
0.0517578125,
-0.0415039... | 13,426 | 13426 | |
%. Matrix Inverse - Matrix Divide
If y is a non-singular matrix, then %.y is the inverse of y . For example:
mp=: +/ . * NB. Matrix product
(%. ; ] ; %. mp ]) i. 2 2
+--------+---+---+
|_1.5 0.5|0 1|1 0|
| 1 0|2 3|0 1|
+--------+---+---+
More generally, %.y is defined in terms of the dyadic case, ... | 5 | [
-0.028076171875,
-0.06494140625,
-0.09912109375,
-0.013427734375,
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0.057373046875,
0.0208740234375,
0.12451171875,
-0.01470947265625,
0.028564... | 13,427 | 13427 | |
Finding the coefficient of a function when given the answer
up vote -4 down vote favorite
I am trying to solve the inverse problem for the following function in R.
x + 2 (C1 * y) + C1 * C1 * z = d2
I can currently enter C1 and get d2 but need to enter d2 and get C1. The variables x, y and z are all known and never c... | 5 | [
-0.10302734375,
0.0086669921875,
-0.0216064453125,
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0.03125,
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0.01708984375,
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0.038818359375,
0.005615234375,
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0.061279296875,
0.026123046875,
0.041015625,
0.00299072265625,
0.061035... | 13,428 | 13428 | |
C# How to: Weighted Difference of Gaussians
Published July 14, 2013 Augmented Reality , Blogging , C# , Code Samples , Edge Detection , Extension Methods , Graphic Filters , Graphics , How to , Image Arithmetic , Image Convolution , Image
Filters , Image Processing , Learn Everyday , Microsoft , New Version , Opensour... | 4 | [
-0.0439453125,
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0.006317138671... | 13,429 | 13429 | |
Sigma Notation
Date: 12/17/98 at 01:11:15
From: Artem Pyatakov
Subject: Calculus
Dear Dr. Math,
We just learned about sigma notation and summation formulas in my
calculus class. Unfortunately, our teacher only showed us 4 formulas:
("Sum" refers to the symbol sigma)
Sum(k), Sum(i), Sum(i^2), Sum(i^3)
We also ... | 5 | [
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-0.005065917... | 13,430 | 13430 | |
search(+L, ++Arg, ++Select, +Choice, ++Method, +Option)
[ library(ic) | Reference Manual | Alphabetic Index ]
search(+L, ++Arg, ++Select, +Choice, ++Method, +Option)
A generic search routine for finite domains or IC which implements different partial search methods (complete, credit, lds, bbs, dbs, sbds, gap_sbds, ga... | 4 | [
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0.01635... | 13,431 | 13431 | |
What's new
You are currently browsing the monthly archive for May 2013.
A finite group ${G=(G,\cdot)}$ is said to be a Frobenius group if there is a non-trivial subgroup ${H}$ of ${G}$ (known as the Frobenius complement of ${G}$) such that the conjugates ${gHg^{-1}}$ of
${H}$ are “disjoint as possible” in the sense t... | 4 | [
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-0.03247070... | 13,432 | 13432 | |
WebDiarios de Motocicleta
To understand the state of the art in hash tables, you must understand the holy trinity of the area: chaining, linear probing, and cuckoo hashing. Chaining is the one that amateurs know, and shows up
frequently in code. Linear probing is what you use when performance really matters. And cuckoo... | 4 | [
0.025146484375,
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0.046875,
-0.0292... | 13,433 | 13433 | |
October 2
Go Tumbling Down
This is the image brought to my mind by
today's
arxiv
news
. Unfortunately, I
expect
this to generate an ocean of sparticly papers, and only on their rotting pulp will the cards finally fall.
Update:
Here is
Tommaso's
informed post on the subject, and
here is
Carl's.
Once we... | 4 | [
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0.047607421875,
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0.044921875,
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-0.028076171875,
0.05... | 13,434 | 13434 | |
Why is there such a close resemblance between the unitary representation theory of the Virasoro algebra and that of the Temperley-Lieb algebra?
up vote 34 down vote favorite
22
For those who aren't familiar with the Virasoro or Temperley-Lieb algebras, I include some definitions:
• The (universal envelopping algebra ... | 4 | [
-0.10107421875,
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0.00830078125,
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0.0380859375,
-0.005401... | 13,435 | 13435 | |
Data Structures- A Look At Hamiltonian Circuits
The purpose of this tutorial is to introduce Hamiltonian circuits, as well as examine how to find them in both weighted and unweighted graphs.
What Is a Hamiltonian Circuit?
A Hamiltonian Circuit is a cyclic Graph (or sub-graph) such that each vertex can only be accesse... | 4 | [
-0.043701171875,
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0.03564453125,
-0.06640625,
0... | 13,436 | 13436 | |
Fitting Polynomials by Generating Linear Constraints
(There were some slight edits since the original publication. The only major change is that the time to solve each linear program probably grows cubically, not linearly, with the number of points.)
This should be the first part in a series of post exploring the gene... | 5 | [
-0.10498046875,
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0.038330078125,
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0.052001953125,
-0.00799560546875,
-0.0218505859375,
-0.00762939453125,
-0.008... | 13,437 | 13437 | |
What is the Largest Named Number?
Date: 12/08/2004 at 20:55:28
From: April
Subject: largest named number?
I am doing an assignment for school, and I need to know what the
largest named number is. I know about billions and trillions, but
there must be even bigger numbers than that, right?
Date: 12/20/2004 at 17:05... | 4 | [
-0.025146484375,
-0.059326171875,
-0.0634765625,
-0.0380859375,
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0.01611328125,
-0.0556640625,
-0.0... | 13,438 | 13438 | |
Matrix Mutiplication through Matrix Logarithms and Exponentials
up vote 0 down vote favorite
Let $A,B$ be full rank $n \times n$ matrices. If $AB = BA$, then $\exp(\log(A)+\log(B))=AB$.
Supposing $A = USL$ and $B = VSL$ where $U,V,S,L$ are integer valued matrices, $det(L)=1$ and $U = LVL^{-1}$. If $AB = (USL)(VSL) = ... | 4 | [
0.00151824951171875,
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0.04150390625,
0.00311279296875,
0.0810546875,
-0.0291748046875,
0.05... | 13,439 | 13439 | |
Area of an Ellipse
Date: 08/03/2001 at 23:00:19
From: Tate
Subject: Proof
I have been given a problem to be solved via integration.
I have to show that the area enclosed by the ellipse
x^2/a^2 + y^2/b^2 = 1 is pi*a*b, where a is the longer
horizontal part and b is the shorter vertical part of an ellipse.
Can you o... | 5 | [
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-0.0185546875,
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0.1318359375,
-0.04125976562... | 13,440 | 13440 | |
Covariance
From Encyclopedia of Mathematics
$ \DeclareMathOperator{\cov}{cov} $ $ \DeclareMathOperator{\var}{var} $ $ \DeclareMathOperator{\E}{\mathbf{E}} $
A numerical characteristic of the joint distribution of two random variables, equal to the mathematical expectation of the product of the deviations of these t... | 4 | [
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... | 13,441 | 13441 | |
Elementary Embeddings and Relative Constructibility
up vote 8 down vote favorite
2
Suppose $$j:M\prec N$$ is a non-trivial elementary embedding. Under what conditions on the sets (classes?) $M$ and $N$ (or even the critical point of $j$) does $j$ extend to an elementary embedding
$$k:L(M)\prec L(N)?$$
In the case whe... | 5 | [
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0.07080078125,
0.059814453125,
0.0600... | 13,442 | 13442 | |
Erdős-Szekeres for first differences
up vote 17 down vote favorite
3
The classical Erdős-Szekeres theorem says that any sequence of $n^2+1$ real numbers contains a monotonic $(n+1)$-term subsequence. Suppose, however, that we want to find a subsequence which is not
necessarily monotonic itself, but has the sequence of... | 5 | [
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-0.0075... | 13,443 | 13443 | |
The Drunkard's Walk
The Drunkard’s Walk
In one speech Charlie Munger told that, if you do not understand elementary probability then you go through a long life like a one-legged man in an ass kicking contest. I recently finished reading
the book The Drunkard’s Walk: How Randomness Rules Our Lives by Leonard Mlodinow. ... | 4 | [
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... | 13,444 | 13444 | |
Annotated
Stata Annotated Output
Probit Regression
This page shows an example of probit regression analysis with footnotes explaining the output in Stata. The data in this example were gathered on undergraduates applying to graduate school and
includes undergraduate GPAs, the reputation of the school of the undergrad... | 5 | [
-0.040283203125,
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... | 13,445 | 13445 | |
Demazure, lectures on p-divisible groups, II.11, p-divisible formal groups
This entry is about a section of the text
Let $k$ be a field of prime characteristic $p\gt 0$.
Definition
Definition
($p$-divisible group)
A commutative formal $k$-group $G$ is called p-divisible formal k-group or Barsotti-Tate group if it ... | 4 | [
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0.01953125,
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0.0152587890625,
0.032470703125,
-0.138671875,
0.0546875,
-0.01635... | 13,446 | 13446 | |
Romberg array Calculator
Calculates the Romberg array produced by applying Richardson’s extrapolation procedure, which forms the basis of the Romberg Method.
The final diagonal element so produced is the best estimate of the integral.
$I={\large\int_a^{\hspace{25}b}}f(x)dx=R_{\small n}^{\small\ k}+O\((\frac{b-a}{2^n... | 4 | [
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-0.087890625,
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0.05615234375,
-0.0037384033203125,
-0.01... | 13,447 | 13447 | |
ation
A Photographic View of Cumulative Distribution Functions
Robert W. Jernigan
American University, Washington, DC
Journal of Statistics Education Volume 16, Number 1 (2008), www.amstat.org/publications/jse/v16n1/jernigan.html
Copyright © 2008 by Robert W. Jernigan all rights reserved. This text may be freely sha... | 5 | [
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-0.00262451171875,
-0.0201416015625,
... | 13,448 | 13448 | |
BBC - h2g2 - Heisenberg's Uncertainty Principle
Simply put, Heisenberg's Uncertainty Principle states that it is impossible to know both the exact position and the exact velocity of an object at the same time. However, the effect is tiny and so is
only noticeable on a subatomic scale.
History
Werner Heisenberg (1901-... | 4 | [
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0.1015625,
-0... | 13,449 | 13449 | |
mixtures
Chemical potential, simple mixtures, chemical reactions and equilibria - Mixtures (ii)
(1) Gaseous mixtures
(1-1) The chemical potential of gaseous solutions
(1-2) The Gibbs energy, entropy and enthalpy of mixing for gases
(2) Liquid mixtures
(2-1) The chemical potential of ideal liquid solutio... | 4 | [
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-0.0257568359375,
0.04736328125,
-0.0703125,
-0.008544921875,
0.0037078857... | 13,450 | 13450 | |
How Many Regions are Generated?
Date: 05/29/2003 at 17:21:17
From: Sam
Subject: Discrete Math
Draw a circle and pick n points on it. Now join every point to every
other point and suppose that the points have been picked so that no
three chords go through one point (i.e. every intersection is the
intersection of exact... | 4 | [
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... | 13,451 | 13451 | |
Hamiltonian vector field
Context
Symplectic geometry
Background
Basic concepts
Classical mechanics and quantization
Contents
Definition
On symplectic manifolds
Definition
For $(X,\omega)$ a symplectic manifold, a vector field $v \in \Gamma(T X)$ is called a Hamiltonian vector field if its contraction with the ... | 4 | [
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-0.0791015625,
0.02990722... | 13,452 | 13452 | |
Opportunity lost - Big Data, Plainly Spoken (aka Numbers Rule Your World)
Like Andrew Gelman, I was disappointed with Steven Strogatz's recent column on Bayes Theorem for the New York Times. (Disclosure: I am a fan of Strogatz's Nonlinear Dynamics and Chaos book, and I'm
pleased as punch that the New York Times is expo... | 5 | [
-0.031494140625,
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-0.072265625,
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0.019287109375,
0.001319... | 13,453 | 13453 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
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Here's the question you clicked on:
TomLikesPhysics Group Title
I am supposed ... | 5 | [
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0... | 13,454 | 13454 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
Thank you very much to everyone who submitted solutions to this problem about seating in the cinema. Next time you are watching a film at the cinema, you can try and estimate the number of adults,
children and pensioners and then work out the to... | 4 | [
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-0.02294921875,
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0.0162353515625,
-0.03063964843... | 13,455 | 13455 | |
Where do public and private keys come from?
In training people about secure communications, I've found it is sometimes helpful to show what the underlying mathematics is.
Everyone knows that computers use a clever mathematical algorithm to send and receive encrypted messages. The algorithm generates two keys, usually ... | 5 | [
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-0.110351562... | 13,456 | 13456 | |
Solution for Tough Sudoku of August 7, 2009
The following illustrated solution for the moderately difficult Tough Sudoku of August 7, 2009 serves as a reasonably good example of the power of using mixed groups or Sets within or as a Sudoku
solving technique. This particular Sudoku solving strategy, tip or trick is some... | 4 | [
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-0.0250244140625,
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-0.0096435546875,
0.019775390625,
0.0201416015625,
-0.068359375,
0.0301513671875,
-0.09130859375,
0.087890625,
-0.029541015625,
0... | 13,457 | 13457 | |
A Neighborhood of Infinity
It's time to return to the
vector space monad
. But first, after some Haskell preamble, I need to talk about the Einstein summation convention.
> {-# LANGUAGE MultiParamTypeClasses,FlexibleInstances,FunctionalDependencies #-}
> module Main where
> import qualified Data.Map as M
> import... | 4 | [
0.00194549560546875,
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0.046875,
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0.01007080078125,
0... | 13,458 | 13458 | |
Homework Help
Posted by Lee on Friday, October 22, 2010 at 5:57am.
I could not figure out the answer to this Problem:
The quadratic function
f(x)= -2x^2 =4x +3 can be used to solve the following inequality:
-2x^2 -4x < -3
First use the Quadratic Formula to find the x-intercept of f.
This problem asks that the ans... | 4 | [
0.00013446807861328125,
0.083984375,
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-0.05712890625,
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0.038330078125,
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0.027587890625,
-... | 13,459 | 13459 | |
Counting combinations modulo power of 2
It is pretty simple to calculate the number of ways to choose k items out of n: There are n ways to choose the first item, n-1 ways to choose the second item, and so on, until there are (n-k+1) ways
to choose the kth item. By the rule of product there are n (n-1)···(n-k+1) ways ... | 5 | [
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... | 13,460 | 13460 | |
of
Evaluating Aptness of a Regression Model
Jack E. Matson
Tennessee Technological University
Brian R. Huguenard
Tennessee Technological University
Journal of Statistics Education Volume 15, Number 2 (2007), http://www.amstat.org/publications/jse/v15n2/datasets.matson.html
Copyright © 2007 by Jack E. Matson and B... | 5 | [
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Capacity of Time-Hopping PPM and PAM UWB Multiple Access Communications over Indoor Fading Channels
The capacity of time-hopping pulse position modulation (PPM) and pulse amplitude modulation (PAM) for an ultra-wideband (UWB) communication system is investigated based on the multipath fading
statistics of UWB indoor wi... | 4 | [
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-0.06884765625... | 13,462 | 13462 | |
Quadratic forms question
up vote 3 down vote favorite
Pardon my ignorance, but I've been stuck with this silly problem for almost a whole day while trying to learn some quadratic forms theory. Let $F$ be a field of characteristic $\neq 2$. Szymiczek's
book on the algebraic theory of quadratic forms contains an exercis... | 5 | [
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-0.0155029296875,
0.0203857421875,
0.0869140625,
-0.0517578125,
-0.080... | 13,463 | 13463 | |
dy
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mr.luna Group Title
the altitude of a tria... | 5 | [
-0.02978515625,
0.056396484375,
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-0.0272216796875,
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0.009338378... | 13,464 | 13464 | |
Hyper4 Iterated Exponential Function
Hyper4 Iterated Exponential Function
Contents
The "Lower" Hyper4 Function a[④]b
An Exact Solution of the Inverses of a[④]b
The Higher Hyper4 Function ("tetration") a↑↑b = a^④b
My Extension to Real-Valued Arguments
Finding Final Digits Using Modular Arithmetic
The main topic ... | 5 | [
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-0.009765625... | 13,465 | 13465 | |
A mixing property for finite fields of characteristic $2$
up vote 16 down vote favorite
4
In connection with this MO post, here is a question somewhat implicitly contained in a joint paper of S. Kopparty, S. Saraf, M. Sudan, and myself.
Let ${\mathbb F}$ be a finite field, and suppose that $\varphi_0\colon{\mathbb F}... | 5 | [
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Mersenne primes and the Lucas-Lehmer test
Mersenne numbers, named after Marin Mersenne, are numbers of the form $M_n = 2^n - 1$. The first few Mersenne numbers are therefore $M_0 = 0$, $M_1 = 1$, $M_2 = 3$, $M_3 = 7$, $M_4 = 15$, and so on.
Mersenne numbers come up all the time in computer science (for example, $M_n$ ... | 4 | [
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-0.00921630... | 13,467 | 13467 | |
M O B J E C T I V I S T
EROEI Math
I have noticed a bit of confusion on what
Energy Return on Energy Invested
(EROEI) means when a fossil fuel extraction process
reinvests
the recovered energy and how that will serve to aggressively deplete the supply as EROEI approaches 1. Consider the case when the energy needed... | 4 | [
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-0.002914428... | 13,468 | 13468 | |
Cauchy factorization
Definitions
A morphism $m:A\to B$ in a 2-category $K$ is called ff and retract-closed or rff if $K(X,A)\to K(X,B)$ is fully faithful and closed under retracts for all $X$. Explicitly this means that (in addition
to being ff) if $b:X\to B$ is a retract of $m a$ for some $a:X\to A$, then $b\cong m a... | 4 | [
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factorization lemma
Context
Model category theory
Definitions
Morphisms
Universal constructions
Refinements
Producing new model structures
Presentation of $(\infty,1)$-categories
Model structures
for $\infty$-groupoids
for $n$-groupoids
for $\infty$-groups
for $\infty$-algebras
general
specific
for stabl... | 4 | [
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0.05224609... | 13,470 | 13470 | |
30-60-90 and 45-45-90 Triangles
Date: 03/15/99 at 21:02:01
From: Kristina
Subject: 30-60-90 Triangles
Please help me. If I have a triangle that is 30-60-90, or a triangle
that is 45-45-90, how do I find all the sides when given only one side?
For example, if I'm given the base of 9, how do I find the hypotenuse
and ... | 4 | [
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0.019775... | 13,471 | 13471 | |
The Saas Fee Lectures on Strong Gravitational Lensing -
C.S. Kochanek
B.4.7. Non-Parametric Models
The basic idea behind non-parametric mass models is that the effective lens potential and the deflection equations are linear "functions" of the surface density. The surface density can be decomposed
into multipoles (Koc... | 4 | [
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0.0327148437... | 13,472 | 13472 | |
Only Two Abelian Groups
Date: 02/25/2003 at 18:56:08
From: Anonymous
Subject: College Algebra
Show that any group with order p^2, where p is a prime, is Abelian.
Show that up to isomorphism that only two such groups exist.
Let G be a group with C the center of G. C is a subgroup of G. By
Lagrange's theorem |C| divid... | 5 | [
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-0.005706787109375... | 13,473 | 13473 | |
[SciPy-User] quadratic programming with fmin_slsqp
josef.pktd@gmai... josef.pktd@gmai...
Fri Mar 16 11:45:33 CDT 2012
scipy is missing a fmin_quadprog
http://en.wikipedia.org/wiki/Quadratic_programming#Problem_formulation
Did anyone ever try to see if fmin_slsqp can be used for this?
It looks flexible and targeted ... | 4 | [
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0.005096435546... | 13,474 | 13474 | |
Math Forum Discussions
Re: What's the geometry meaning of i^i ?
Posted: Jul 27, 2012 1:44 PM
On Thursday, July 26, 2012 1:16:34 PM UTC+5:30, Narasimham wrote:
> On Jul 25, 9:28 am, Hongyi Zhao <hongyi.z...@gmail.com> wrote:
> > Hi all,
> >
> > What's the geometry meaning of i^i ? Here, i is the ima... | 4 | [
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-0.02392578125,
-0... | 13,475 | 13475 | |
ACT
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
ACT Geometry 5,907 views
Plane geometry, what you need to know. First Let's take a look at this game I'm playing, I'm playing darts right now and I'm actually really close to winning but to win I need to g... | 4 | [
0.0478515625,
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0.04736328125,
... | 13,476 | 13476 | |
Math Forum Discussions
Re: Help Needed in math
Posted: May 2, 2014 12:21 AM
On Thu, 1 May 2014, quasi wrote:
> >>>>
> >>>>f(x) = (5x + 3) / x^2, x <> 0
> >>>What's f?
> >Did you define f as f(x) = (5x - 3)/x^2?
>
> No, he wrote
> f(x) = (5x + 3)/x^2
>
> >>>>If a < f(x) for all x, then a has to be less than the
> >>>>g... | 5 | [
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Difference Equations / Recurrence Relations
10-04-2007 #1
Difference Equations / Recurrence Relations
I know the large majority of people on here might not know what difference equations are (or maybe you know them as recurrence relations, because that's what Wikipedia lists them as), but I got a
question tha... | 5 | [
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... | 13,478 | 13478 | |
Fractions
Objectives: 1. Explain how fractions are often more precise than decimals.
By the end of this lesson, you should 2. Quickly convert between fractions and decimals for fractions from the half through the twelfths, plus the sixteenths and the twentieths.
be able to:
... | 4 | [
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0.001823425292... | 13,479 | 13479 | |
Epact
Help support New Advent and get the full contents of this website as an instant download or CD-ROM. Includes the Catholic Encyclopedia, Church Fathers, Summa, Bible and more all for only $19.99...
(Greek épaktai hemérai; Latin dies adjecti).
The surplus days of the solar over the lunar year; hence, more free... | 4 | [
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0.030151367... | 13,480 | 13480 | |
How to Calculate
GPA
This page describes how to calculate grade point average and included are charts, an example, and an XLS GPS Calculator file (requires a spreadsheet program.)
XLS GPA Calculator
The file has place for two different grade scales and both may be edited to match your grade scale.
To use the calcu... | 4 | [
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0.0030670166015625,
-0.0196533203125,
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-0.068359375,
0.048828125... | 13,481 | 13481 | |
S
Welcome to iraf.net Tuesday, July 22 2014 @ 03:19 AM MDT
specwcs (Mar93) noao.onedspec specwcs (Mar93)
The IRAF/NOAO Spectral World Coordinate Systems
Spectra are stored as one, two, or three dimensional images with one axis bein... | 4 | [
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0.045166015625,
0.029296875,
-0.04931640625,
-0.01904296875,
-0.0664062... | 13,482 | 13482 | |
dy
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David.Butler Group Title
\int _{ -\infty }... | 5 | [
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Game Theory (Part 16)
Last time we looked at a zero-sum game and noticed that when both players use their maximin strategy, we get a Nash equilibrium. This isn’t a coincidence—it always works this way for zero-sum games!
This fact is not obvious. It will take some work to prove it. This will be our first really big th... | 4 | [
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0.0101318359... | 13,484 | 13484 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
'Water Pistols' printed from http://nrich.maths.org/
There are n people in a field and no two pairs of people are at the same distance apart. Everyone has a water pistol and shoots at and hits the nearest person to them. Show that if n is even ... | 5 | [
0.00060272216796875,
0.0220947265625,
0.011474609375,
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Consecutive Odd Integers
Date: 08/28/97 at 18:32:11
From: Heather Mahurin
Subject: Addition-Word Problem
I need to know three consecutive odd integers that equal 150.
Date: 08/28/97 at 19:45:13
From: Doctor Barney
Subject: Re: Addition-Word Problem
First, we should approach this problem with the understanding tha... | 4 | [
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Geometry and the imagination
You are currently browsing the tag archive for the ‘Hamilton’ tag.
I recently made the final edits to my paper “Positivity of the universal pairing in 3 dimensions”, written jointly with Mike Freedman and Kevin Walker, to appear in Jour. AMS. This paper is inspired
by questions that arise ... | 4 | [
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HIGHER ORDER DERIVATIVES
Higher Order Derivatives
If a function is differentiable, then we can find its derivative. If this derivative is differentiable then we can find the derivative of this derivative. The last derivative is the second
derivative of the first function. At each step of the way, if the ... | 5 | [
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A statistical Hypothesis testing is a formal procedure used by statisticians
A statistical Hypothesis testing is a formal procedure used by statisticians…
Introduction
The objective of testing of statistical hypothesis is to determine if an assumption about some characteristic (parameter) of a population is supported... | 4 | [
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How to Excel at Options Valuation
Editor’s note: This article uses a simplified example to illustrate how a lattice model works. In the exhibits, the option term is only four years—much shorter than the 10-year life of a typical
employee stock option. So in practice the calculations will be more extensive than in these... | 5 | [
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strict 2-groupoid
Context
Higher category theory
Basic concepts
Basic theorems
Applications
Models
Morphisms
Functors
Universal constructions
Extra properties and structure
1-categorical presentations
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Strict... | 4 | [
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Building a Cone
Suppose you want to build a (right circular) cone out of some flat material, perhaps paper or metal. You cut out a sector of a circle and roll it up to make the cone. Let the radius of the sector be
s, its central angle T (in radians), the height of the cone be h, the radius of its base r, and the vert... | 4 | [
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Riemann Sums and The Trapezoidal Rule
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Riemann Sums and The Trapezoidal Rule 2,011 views
[0:00:00]
Riemann Sums, you remember these little guys? The first time you saw them was when you first began doing integra... | 4 | [
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ter
These pages explain how to choose the correct sizes of pipe when plumbing a house, and why it matters. This section explores the theory, and a practical worked example is given in part 2 .
Why do plumbers use so much half-inch copper pipe? This article explains why water pipes in houses are the sizes they are. It ... | 5 | [
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Topological features of images
From Intelligent Perception
1 Topological issues in image analysis
The following simple questions show the important role played by topology in analysis of digital images and computer vision.
A microchip - very complex structure that is hard to analyze with a naked eye:
Bone under mi... | 5 | [
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Sum of Digits of Multiples of Nine
Date: 08/12/2004 at 05:19:50
From: Saba
Subject: number theory: multiples of 9
Why is it that when you add the individual digits of any multiple of
nine until a single digit answer is reached the answer is always nine?
Is it possible to prove this?
For example, 99 => 9 + 9 = 18 => ... | 4 | [
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Lindenbaum-Tarski algebra
Contents
Idea
The Lindenbaum–Tarski algebra of a theory in propositional logic is an algebraic (and order-theoretic) structure built out of its formula?s (modulo provable equivalence) and connectives. It thus
carries an algebraic structure that corresponds to the logic in question and is gen... | 4 | [
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Solving a Three-part Linear Inequality - Concept
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Solving a Three-part Linear Inequality - Concept 11,856 views
In mathematics, it can be useful limit the solution or even have multiple solutions for an inequali... | 4 | [
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.
3. DYNAMIC PROPERTIES OF EQUATION (1)
Possible constant, equilibrium values (or "fixed points") of X in equation (1) may be found algebraically by putting X[t+1] = X[t] = X*, and solving the resulting equation
X* = F(X*) (5... | 4 | [
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