content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
4 i Am Legend_re_
Who’s even reading this?
i Am Legend(re)
4 i Am Legend(re)
Important Stuff
... | 4 | [
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Deciphering Branch Behaviour
Handling branches in computer systems is indeed unbelievably subtle. Here is one slightly complicated example which comes out correctly, at least when looked at in the right way; this is encouraging.
The following integral comes up in an ODE test: $\int \frac{\mathrm{d}x}{x \sqrt{1 - x^2}}... | 5 | [
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Is the neutrino mixing matrix an involution?
Off-topic and sad: Ray Munroe died. You may remember one of 42 comments, mostly on particle physics, he left on this blog. RIP.
Let me begin with the quarks.
There are three generations of quarks. The up-type quarks, \(u,c,t\), have three different Dirac masses which a... | 4 | [
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Hydrosystems Hydrulics open channel flow iit nptel _55_
Hydraulics Prof. B.S. Thandaveswara
16.4 History of Uniform Flow Velocity and Resistance Factor
Th... | 4 | [
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Volume 25,
Volume 25, Issue 1, January 1984
•
View Description Hide Description
We prove decomposition formulae for an arbitrary representation in terms of basis representations for the classical compact Lie groups. Using these decomposition formulae, simple rules are
obtained for the product of two a... | 4 | [
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Chapter 16 Random Variables
Random Variable is a variable whose
outcome depends on a random event
Notation: Capital letters such as X, Y, etc.
The values X assumes are denoted by little
x
Examples: Random Variables
• The amount of time you wait at a light
• The lifespan... | 5 | [
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Segmentation by Graph
Segmentation
Graph-Theoretic Clustering
Outline
Graph theory basics
Eigenvector methods for segmentation
Graph Theory Terminology
Graph G: Set of vertices V and
edges E connecting pairs of vertices
Each edge is represented by the ... | 4 | [
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Tree - PowerPoint
Chapter 7 Implementation
Four Major Tasks
Implementation of Transformations
Line-Segment Clipping
Polygon Clipping
Clipping of Other Primitives
Clipping in Three Dimensions
Hidden-Surface Removal
Scan Conversion
Bresenham... | 4 | [
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Is there a category in which finite limits and directed colimits *don't* commute
up vote 3 down vote favorite
3
Andrew Critch asks at the 20-questions seminar:
In Set and AbGrp (the categories of sets and abelian groups, respectively), finite limits commute with directed colimits. As an example, if you're working wit... | 4 | [
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Data Mining Technique - Bayesian Approaches
Data Mining - Bayesian Approaches
┌──────────────────────────────────────────────────────────────────────┐
│Data Mining Course [CISC 873, School of Computing, Queen's University]│
├──────────────────────────────────────────────────────────────────────┤
│ Bayesian Approache... | 4 | [
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Chapter 5
Discounted Cash Flow Valuation
Key Concepts and Skills
• Know how to compute the future value of multiple cash flows • Know how to compute the present value of multiple cash flows • Know how to compute loan payments • Know how to find the interest rate on a loan • Know... | 5 | [
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Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
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Teacher Exchange
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: ??? Error using ==> times !! Matrix dimensions mus... | 4 | [
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Natural selection, maths and milk
Issue 46
March 2008
Let's recall the definitions:
F[X] = observed frequency of the allele X (where X is one of T, C, A or B), regardless of which other allele it occurs with;
F[XY] = observed frequency of X allele occurring with Y allele (where X is one of T or C and Y is one of A... | 4 | [
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Chapter9
Chapter 9. Comparing Two populations.
Section 9.1 and 9.2. Comparing Means.
Example 1. A biologist who studies spiders is interested in comparing the lengths of
female and male green lynx spiders. Assume that the length X of the male spider is
N(X,2X). You have a sam... | 4 | [
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Stokes' Theorem
July 31st 2008, 04:33 PM #1
Stokes' Theorem
Use Stokes' Theorem to evaluate $\int_C \vec F \cdot d\vec r$. C is oriented counterclockwise as viewed from above.
$\vec F (x,y,z) = <x+y^2, y+z^2, z+x^2>$, C is the triangle with vertices (1,0,0), (0,1,0), and (0,0,1)
-----
I've computed... | 4 | [
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NEW QUESTION about Fitch
October 18th 2012, 09:28 AM #16
MHF Contributor
Joined
Oct 2009
Posts
5,513
Thanks
769
Re: NEW QUESTION about Fitch
This is a little trickier and requires the use of negation elimination, which is properly called double-negation elimination. It is easier to derive (¬p ∨ ¬q) ... | 5 | [
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Method Of And Arrangement For Determining The Optimum Position Of The Reference Tap Of An Adaptive Equalizer - Patent 4633482
United States Patent: 4633482
( 1 of 1 )
United States Patent
4,633,482
Sari
December 30, 1986
Method of and arrangemen... | 4 | [
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Excel Statistics for SEO and Data Analysis
This post was originally in YouMoz, and was promoted to the main blog because it provides great value and interest to our community.
The author’s views are entirely his or her own and may not reflect the views of Moz.
Everybody has probably already realized that there is almo... | 5 | [
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A finite subset of a metric space
Show that a finite subset of a metric space has no limit points and is therefore a closed set.
A subset of a metric space is closed if and only if it contains its limit points. To be a limit point any neighborhood needs to contains infinitely many points within the set. Thus, a finite... | 5 | [
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Homework Help
Posted by khela on Thursday, October 28, 2010 at 6:12pm.
find the points to the curve
y=(cos x)/ (2 + sin x)
at which the tangent is horizontal...
can you explain how get the answer thoroughly and step by step...
• math - Reiny, Thursday, October 28, 2010 at 6:44pm
using the quotient rule,
... | 4 | [
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Set of permanents over binary square matrices
up vote 5 down vote favorite
I am interested in the collection of possible values for permanents over square binary matrices. Consider $n \times n$ 0-1 matrices. The possible permanents for $n=1$ are $\{0,1\}$. For $n=2$ the
possible permanents are $\{0,1,2\}$, and for $n=... | 5 | [
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Geometry of the Parabola
Definition: A parabola is the set of points in the plane that are equidistant from a point (the focus) and a line (the directrix.)
The following exercise should help convince you that this definition yields the parabolas you are familiar with.
Exercise: Given a focus at (0,1) and a directrix... | 4 | [
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How should the radius MP be drawn?
June 8th 2009, 04:27 PM #1
Junior Member
How should the radius MP be drawn?
Hello, Kevin!
Draw radius $MQ$ downward, perpendicular to $AB.$
Let $\theta = \angle PMQ.$
Ignore the two smaller semicircles for the moment.
If the shaded region is the semicircle $... | 4 | [
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ge
Alan Siegel
This page is under construction.
You are welcome to look through some selected work in computer science, mathematics and educa... | 4 | [
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PERCENTAGE
W W W . T C Y O N L I N E . C O M
_________________________________________________________________________________________________
PERCENTAGE
A percentage is a ratio expressed in terms of a unit being 100. A percent... | 4 | [
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... | 43,924 | 43924 | |
dy
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Connect with other students for help. It's a free community.
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Here's the question you clicked on:
amistre64 Group Title
Find the amount of w... | 5 | [
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0.039794921875,
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Stator material selection, preparation and contacts - Page 4 - diyAudio
Hi AJ
Looking back at post 27...
1. Do you model the diaphragm as constant voltage or constant charge?
I modeled the diaphragm as having constant surface charge density in operation. In reality, as Streng's in-depth paper shows, charge will tend... | 4 | [
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... | 43,926 | 43926 | |
Volume 35,
Volume 35, Issue 12, December 1994
•
View Description Hide Description
The one‐dimensional Schrödinger equation is considered when the potential and its first moment are absolutely integrable. When the potential has support contained on the left (right) half‐line,
it is uniquely constructed... | 4 | [
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Teaching Plan 3
Explore the Circumcenter of a Triangle
Title: Circumcenter
Topic: Geometry
Grade: 9th
Lesson Summary:
This lesson plan is to introduce the concepts of circumcenter by using computers with sketchpad... | 4 | [
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Averaging Averages
Date: 11/09/1999 at 14:44:10
From: Stacy Francis
Subject: Averages
I was reading your response on averaging averages. This has come up in
a meeting I go to regarding a report that I am responsible for every
month. After reading your response, I want to make sure that I am
doing this right.
I have... | 4 | [
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-0.01214599609375,
0.05029296875,
-0.042236328125,
-0.04638671875,
-0.041259765625,
-0.06884765625,
0.0341796875,
-0.036865234375,
-0.0703125,
0.07861328125,
-0.004608154296875,
-0.0296... | 43,929 | 43929 | |
question involving modulus (congrency)
December 26th 2009, 11:42 AM #1
Junior Member
Joined
Mar 2009
Posts
49
question involving modulus (congrency)
Hi
I need help with the following question
I have attached my question.
I haven't got a clue on how to start the question.
thanks
... | 4 | [
0.04736328125,
0.1005859375,
0.0213623046875,
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0.0201416015625,
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0.0224609375,
0.10400390625,
-0.031005859375,
-0.01025390625,
-0.03173828125,
0.040039062... | 43,930 | 43930 | |
Stochastic Stabilization of Phenotypic States: The Genetic Bistable Switch as a Case Study
Abstract
We study by means of analytical calculation and stochastic simulations how intrinsic noise modifies the bifurcation diagram of gene regulatory processes that can be effectively described by the
Langevin formalism. In a ... | 4 | [
-0.0002422332763671875,
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0.0869140625,
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0... | 43,931 | 43931 | |
Archives of the Caml mailing list > Message from Andrej Bauer
Date: -- (:)
From: Andrej Bauer <Andrej.Bauer@a...>
Subject: Re: [Caml-list] Coinductive semantics
Alessandro Baretta wrote:
> Is there anyone around who can help?
Induction is about initial algebras. It says that an initial algebra
does not have... | 4 | [
-0.06298828125,
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0.0230712890625,
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0.064453125,
-0.0034332275390625... | 43,932 | 43932 | |
Angle Question
January 2nd 2006, 04:02 PM
CrimesofParis
Angle Question
So I have two angle problems...
sin2x = 2cosxcos2x ; which becomes
0 = 2cosxcos2x - sin2x
0 = 2cosxcos2x - 2sinxcosx
0 = 2cosx(cos2x - sin x)
so either
2cosx = 0 OR cos2x - sinx = 0
Thank you.
January 2nd 2006... | 4 | [
-0.052001953125,
0.0299072265625,
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0.0097... | 43,933 | 43933 | |
Revenue Practice Problems
Revenue Practice Problems (page 2)
By
Rhonda Huettenmueller
— McGraw-Hill Professional
Updated on Sep 27, 2011
Solutions
If x = 1, the rent should be 400 + 25(1) = $425. If x = 8, the rent should be 400 + 25(8) = $600.
If x = 2.50, the price should be 2.80 – 0.10(2.5) = $2.55. If x = 5.... | 4 | [
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0.040283203125,
-0.... | 43,934 | 43934 | |
chinese remainder
October 28th 2008, 07:21 PM #1
Member
Joined
Oct 2008
Posts
124
chinese remainder
1) Make a list of the units in Z16, and with each unit give its multiplicative inverse.
2) Solve the following system of congruences
X=2 (mod 3)
X=3 (mod 5)
X=6 (mod 7)
3) Solve the ... | 5 | [
-0.10205078125,
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-0.02197265625,
0.07080078125... | 43,935 | 43935 | |
B1NET FORMS BY LAPLACE. TRANSFORM
ROBERT M. GUiLl
San Jose State College, San Jose, California
In past articles of the Fibonacci Quarterly; several methods have been
t£... | 4 | [
-0.09033203125,
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0.0007... | 43,936 | 43936 | |
nonabelian Lie algebra cohomology
Context
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
$\infty$-Lie theory
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Examples
$\infty$-Lie groupo... | 4 | [
-0.1484375,
0.05029296875,
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0.041259765625,
-0.06787109375,
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0.07421875,
0.0004291534423828125,
-0.0228271484375,
0.0756... | 43,937 | 43937 | |
how to find missing terms of
Arithmetic Progression Practice Questions: how to find missing terms of AP?
CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.2 Question 3
In the following AP's find the missing terms:
(i) 2, __ , 26
(ii) __, 13, __, 3
(iii) 5, __, __, $9\frac{1}{2}$
(iv) -4. __, __,... | 4 | [
-0.05712890625,
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-0.052734375,
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0.0269775390625,
-0.023681640625,
0.037109375,
-0.0021514892578125,
-0.10595703125,... | 43,938 | 43938 | |
IST360 - RSA Encryption Example
RSA Encryption Example
The RSA encryption process has been a standard since 1977 and it continues to provide a solid level of
protection for data transfer. Its soul foundation is based on mathematic functions ... | 5 | [
-0.005706787109375,
0.0615234375,
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-0.026123046875,
-0.0517578125,
0.001937866210... | 43,939 | 43939 | |
Surds and fractional indicies
April 2nd 2010, 08:39 AM #1
Newbie
Joined
Apr 2010
Posts
20
Surds and fractional indicies
I'm starting with basic simplification and while I thought I understood the rules I cannot seem to get the same answers as the book I am learning from.
The two questions that are v... | 4 | [
0.0255126953125,
-0.06689453125,
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0.042236328125,
-0.060546875,
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0.0810546875,
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0.126953125,
-0.054931640625,
0.043945... | 43,940 | 43940 | |
Two point form calculator
How to find equation of the line determined by two points?
To find equation of the line passing through points $A(x_A, y_A)$ and $B(x_B, y_B)$ ( $ x_A \ne x_B $ ), we use formula:
$$ {\color{blue}{ y - y_A = \frac{y_B - y_A}{x_B-x_A}(x-x_A) }} $$
Example:
Find the equation of the line dete... | 4 | [
-0.08544921875,
-0.07080078125,
-0.04443359375,
-0.12109375,
-0.02880859375,
-0.0035247802734375,
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0.006439208984375,
0.068359375,
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0.0546875,
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0.0048828125,
-0.00946044921875,
0.080078125,
0.158203125,
-0.0732421875,
-0.030029296875,
... | 43,941 | 43941 | |
More Practice/Help on HCF & LCM Problem Sums
Posted on: May 11, 2009
Problem sums on HCF and LCM can be really tricky as they are not easy to identify. Thus for this post, the main focus is not on going through how to find HCF and LCM (please refer to your notes on
those), but more importantly to go through how to de... | 4 | [
0.027099609375,
0.00054168701171875,
-0.01519775390625,
-0.1611328125,
-0.0174560546875,
0.0400390625,
-0.0177001953125,
0.040283203125,
-0.10107421875,
-0.0030670166015625,
-0.07568359375,
-0.06396484375,
0.03955078125,
0.0086669921875,
-0.02392578125,
-0.005889892578125,
-0.0390625... | 43,942 | 43942 | |
Find the volume generated by revolving about the line y = 6 the area bounded by y = 1/x and 3x + 2y = 7. - Homework Help - eNotes.com
Find the volume generated by revolving about the line y = 6 the area bounded by y = 1/x and 3x + 2y = 7.
To start, we need to determine the area bounded by the given equations. To do so... | 5 | [
-0.028076171875,
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0.004638671875,
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0.04443359375,
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0.005950927734375,
-0.015380859375,
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0.029052734375,
0.04833984375,
-0.0186767578125,
-0.00567626953125,
-0.08740234375... | 43,943 | 43943 | |
Two equation turbulence models
From CFD-Wiki
(Difference between revisions)
Jola (Talk | contribs) Si (Talk | contribs)
← Older edit (→Boussinesq eddy vi... | 4 | [
-0.0341796875,
-0.04833984375,
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0.08447265625,
0.044189453125,
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0.03955078125,
-0.04052734375,
... | 43,944 | 43944 | |
L'hospital's rule problem
July 16th 2008, 01:23 PM #1
Junior Member
Joined
Sep 2007
Posts
56
L'hospital's rule problem
Hi guys I'm having trouble understanding this concept on problems like these
1. Lim CosX / 1 - Sinx
x->(pi/2)+
the answer would be Negative Infinity
2. Lim e^x - 1 / ... | 5 | [
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0.038818359375,
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0.068359375,
-0.09716796875,
0.08056640625,
-0.12451... | 43,945 | 43945 | |
Spring Motion and Numerical Calculations
Maybe you know I like numerical calculations, well I do. I think they are swell. [VPython](http://vpython.org) is my tool of choice. In the post [Basics: Numerical Calculations](http://
scienceblogs.com/dotphysics/2008/10/basics-numerical-calculations.php) I used vpython and exc... | 5 | [
-0.03955078125,
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-0.000926971435546875,
-0.0014801025390625,
0.01953125,
-0.0012664794921875,
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0.0272216796875,
0.0625,
0.00811767578125,
0.00135040283203125,
-0.01348876953... | 43,946 | 43946 | |
Maxwell Bridge Inductance Capacitance Bridge
This bridge is used to find out the self inductance and the quality factor of the circuit. As it is based on the bridge method (i.e. works on the principle of null deflection method), it gives very
accurate results. Maxwell bridge is an AC bridge so before going in further ... | 4 | [
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0.018310546875,
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0.058837890625,
-0.040771484375,
0.034179687... | 43,947 | 43947 | |
Vertically Opposite Angles | Worked-out Problems on Vertically Opposite Angles
Vertically Opposite Angles
What is vertically opposite angles?
When two straight lines intersect each other four angles are formed.
The pair of angles which lie on the opposite sides of the point of intersection are called vertically ... | 4 | [
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... | 43,948 | 43948 | |
Hypothesis Testing
Steps in Hypothesis Testing: Two-Tailed Test (Z-test @ 5%)
1. State the hypotheses
Null hypothesis: = 0
2. Identify the test statistic
and its probability ... | 4 | [
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0.032958984375,
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0.0284423828125,
-0.1044921875,
0.0... | 43,949 | 43949 | |
Linear Programming Problem and Post Optimality Analyses in Fuzzy Space: A Case Study of a Bakery Industry
P.K. Sahoo^1, M. Pattnaik^2,
^1Vice Chancellor, Utkal University, Bhubaneswar, India
^2Department of Business Administration, Utkal University, Bhubaneswar India
Abstract
This paper investigates recent techni... | 4 | [
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0.10302734375,
-0.0810546875... | 43,950 | 43950 | |
newtons method to locate t
August 9th 2010, 02:39 PM #1
Member
Joined
Jul 2009
Posts
127
newtons method to locate t
use newtons method to locate t starting with b as an initial guess.
let u=b - f(b)f'(b) denote the first approximation supplied by newtons method
which of the followin are true
... | 5 | [
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0.0390625,
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0.00701904296875,
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-0.034423828125,
-0.043212890625,
0.031982421875,
-0.04248046875,
-0.06933... | 43,951 | 43951 | |
Can one determine the local structure of a moduli space of bundles just by knowing the Ext-groups?
up vote 1 down vote favorite
1
Assume $X$ is a smooth projective scheme over some algebraically closed field $k$. Let $M_1$ and $M_2$ be two moduli spaces of vector bundles on $X$.
The first space contains just one poin... | 4 | [
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-0.044189453125,
0.0439453125,
-0.0167236328125,
-0.054443359375,
0.021850... | 43,952 | 43952 | |
Real meaning of the six RCM curves
You may be wondering about the famous “RCM curves” shown below in Figure 1. They are the Age-Reliability behavior curves which graph the Conditional Probability of failure against age. A common
question is the following.
“For the 139 items covered in the Nowlan & Heap (UAL) stud... | 5 | [
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0.01312255859375,
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0.040283203125,
-0.010986328125,
-0.002349853515625,
-0.04931640625,
-0.081... | 43,953 | 43953 | |
A Multivariable Adaptive Control Design with Applications to Air-heat Tunnel Using Delta Models
Department of Process Control, University of Tomas Bata in Zlin, Faculty of Applied Informatics, Zlin, Czech Republic
Abstract
The article describes the design of adaptive controller for autonomous and non-autonomous cont... | 4 | [
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-0.057861328125,
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0.024658203125,
0.01104736328125,
-0... | 43,954 | 43954 | |
Student Grades
Date: 08/13/97 at 23:27:21
From: Amy Hunter
Subject: Statistics
A professor at a local college noted that the grades of her students
were normally distributed with a mean of 74 and a standard deviation
of 10. The professor has informed us that 6.3 percent of her students
received an A, while only 2.5 ... | 5 | [
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0.078125,
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-0.01202392578125,
0.0001277923583984375,
-0.0196533203125,
0.005889892578125,
... | 43,955 | 43955 | |
Finding x for e^x = cos(x)
Date: 06/25/99 at 05:00:12
From: Matthew Lilley
Subject: How can I solve e^x = cos(x)
My friend recently gave me a problem he had adapted from a textbook:
e^x = cos(x). (The original question was to integrate and find the
area between the two curves. It stated explicitly not to attempt to
... | 5 | [
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0.01544189453125,
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0.040771484375,
0.03759765625,
-0.0771484375,
-0.078125,
0.0093994140625,
... | 43,956 | 43956 | |
find an othonormal set of eigenvectors
September 13th 2010, 01:24 AM #1
Member
Joined
Sep 2010
Posts
151
Thanks
3
find an othonormal set of eigenvectors
Find an orthonormal set of eigenvectors for the following symmetric matrix.
[ 10 0 2 ]
[ 0 6 0 ]
[ 2 0 7 ]
that's a 3x3 matrix, ju... | 5 | [
-0.0211181640625,
-0.02001953125,
-0.054931640625,
-0.046875,
-0.00506591796875,
0.0257568359375,
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-0.03271484375,
-0.07275390625,
-0.031982421875,
0.1416015625,
-0.0380859375,
-0.009765625,
-0.0048828125,
0.055908203125,
0.0272216796875,
-0.041259765625,
-0.00124359... | 43,957 | 43957 | |
Basics: Electric Potential for a Point Charge
Pre Reqs: electric potential, electric field, work-energy
To start, remember that for a constant electric field the change in electric potential energy would be:
WARNING: that is only for a constant electric field. I know you will be tempted later to use this for a differ... | 4 | [
-0.00897216796875,
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0.07763671875,
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0.125,
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-0.036376953125,
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0.021606... | 43,958 | 43958 | |
Math Forum Discussions
Math Forum
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Reply to a Post of 2/06/09 Why Robert Atkin method... | 4 | [
-0.0264892578125,
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0.031982421875,
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0.0... | 43,959 | 43959 | |
Work Complexity -
Work Complexity - Examples
You should be able to derive the closed form of simple recursive equations which have the form T(n) = a + b * n^k + T(n-i) (for constant values i, a b), as in question 1 and 2. For more complex
equations, you should be able to apply the table given in the lecture notes (so... | 5 | [
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... | 43,960 | 43960 | |
How To Subtract Coordinates?
How would you find the distance between two points if the line segment that connects them were horizontal?
A subtract the Y-coordinates of the points and take the absolute value B add the x-coordinates of the points and take absolute value C subtract the x-coordinates of the points and t... | 4 | [
-0.061279296875,
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0.... | 43,961 | 43961 | |
Ramanujan's Incorrect formula
up vote 11 down vote favorite
1
I actually looked at one of my Questions (posted at MATH.SE) again and found a formula which actually Ramanujan had discovered.
Ramanujan: If $\alpha$ and $\beta$ are positive numbers such that $\alpha \cdot \beta = \pi^{2}$ then, $$\alpha \cdot \sum\... | 5 | [
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-0.01544189453... | 43,962 | 43962 | |
Spearman's Rank Correlation
Date: 02/17/99 at 17:45:10
From: Bobby
Subject: Spearman's Rank Correlation
I would like to know where the 6 in the formula of Spearman's rank
correlation originated. How did it turn out to be 6? I have tried
consulting people and encyclopedias but without answers.
Thank you very much.
... | 5 | [
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0.0179443359375,
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0.03... | 43,963 | 43963 | |
Combinations and Permutations
Date: 6/11/96 at 17:35:10
From: Anonymous
Subject: Permutations and combinations
There are 6 boys and four girls. The boys do not have to stand
together, but they must be in order from shortest to tallest.
Of these ten people, how many ways can they line up together?
I have tried ever... | 4 | [
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0... | 43,964 | 43964 | |
Proof that 1 = 2
May 5th 2009, 11:56 PM
blueirony
Proof that 1 = 2
This is a silly proof that my thirteen-year old cousin showed me the other day. I'm ashamed to admit that it took me a full ten minutes to figure it out.
Let a = 1
Let b = 1
therefore:
a = b
multiply both sides by b:
ab... | 4 | [
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0.011474609... | 43,965 | 43965 | |
Kraft's inequality for prefix codes
Kraft’s inequality for prefix codes
August 12, 2009 by Qiaochu Yuan
Kraft’s inequality: Let $L$ be a prefix code on an alphabet of size $k$, and let $l_n$ denote the number of codewords of length $n$. Then $\displaystyle \sum_{n \ge 1} \frac{l_n}{k^n} \le 1$.
In lieu of repost... | 4 | [
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Super Bowl Coin Toss, MathematicallySuper Bowl Coin Toss, Mathematically
Every year there’s a Super Bowl, and every year the whole shebang gets started by a famous person tossing a coin into the air. The team winning the toss gets to decide whether they want to begin the
game on offense or defense. Theoretically this c... | 5 | [
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-0.055419921875... | 43,967 | 43967 | |
Physics
MyPhysicsLab – Simple Pendulum
This simulation shows a simple pendulum operating under gravity. For small oscillations the pendulum is linear, but it is non-linear for larger oscillations.
You can change parameters in the simulation such as mass, gravity, and friction (damping). You can drag the pendulum wit... | 5 | [
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... | 43,968 | 43968 | |
Divisor of perfect number is not perfect
March 18th 2008, 11:07 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Divisor of perfect number is not perfect
Show that no proper divisor of a perfect number is perfect.
proof. let n be perfect, and let $d_{1},d_{2},...,d_{r}$ be divisors of n. No... | 4 | [
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Evaluation and Composition of function
Evaluation and composition of function
Evaluation:
• The letter f in the function notation f(x) as the name of the function. Instead of
using the equation to describe the function,
• we can write ... | 4 | [
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-0.0036010742... | 43,970 | 43970 | |
ℓ_1 minimization proof
Suppose that ΦΦ satisfies the RIP of order 2K2K. Let Λ0Λ0 be an arbitrary subset of {1,2,...,N}{1,2,...,N} such that |Λ0|≤K|Λ0|≤K, and let h∈RNh∈RN be given. Define Λ1Λ1 as the index set
corresponding to the KK entries of hΛ0chΛ0c with largest magnitude, and set Λ=Λ0∪Λ1Λ=Λ0∪Λ1. Then
h Λ 2 ≤ α h ... | 4 | [
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-0.039062... | 43,971 | 43971 | |
cone morphism
Definition
Let $F:J\to C$ be a diagram in a category $C$. Also, for any objects $c,c'$ in $C$, let $T:\Delta(c)\to F$ and $T':\Delta(c')\to F$ denote cones over $F$.
A cone morphism is a natural transformation $\alpha\colon \Delta(c)\to\Delta(c')$ such that the diagram
$\array{ \Delta(c) &{}&\stackrel{... | 4 | [
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0.1015625,
... | 43,972 | 43972 | |
T
8
THE SLOPE
OF A STRAIGHT LINE
Definition of the slope
"Up" or "down"?
Horizontal and vertical lines
A straight line has one slope
"Same slope" and "Parallel"
The specification of a straight line
IN LESSON 33 OF ALGEBRA we discuss the equation of a straight line. Sketching the graph of the equation of a line ... | 4 | [
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-0.0087... | 43,973 | 43973 | |
ombined
The Combined Speed Formula
With a multiple phase accident where a vehicle may have undergone several speed changing events, it is necessary to use the combined speed formula (above) to estimate the original speed of the
vehicle.
If for example, a vehicle looses 30 mph in sliding before impact, 20 mph in ... | 4 | [
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Equation of tangent line to the graph
May 31st 2009, 04:53 PM
hemi
Equation of tangent line to the graph
I need to find an equation of a tangent line to the graph of a function at the given point.
Given:
$g(x)=(x+2)(\frac{x-5}{x+1})$ at $(0,-10)$
May 31st 2009, 06:09 PM
Amer
derive
$g(x)=(x... | 4 | [
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-0.0361328125,
-0.01525... | 43,975 | 43975 | |
:
3. TWO-POINT CORRELATIONS: REDSHIFT DISTORTIONS
For the analysis of redshift-distortion we need to deal with spatial correlations. Given the random biasing field
(12)
where the averaging is over the ensembles at points 1 and 2 separated by r. We define the biasing as local if [em](r) = 0 for any r and [](r) = 0 f... | 4 | [
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... | 43,976 | 43976 | |
Integral ( complete the square )
October 4th 2011, 02:55 PM #1
Member
Joined
Aug 2011
Posts
117
Integral ( complete the square )
I have a problem in my book where i have an integral and i have to use complete the square if necessary. I understand how to do the complete the square. However, this problem d... | 5 | [
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0.049316406... | 43,977 | 43977 | |
Accelerator
Dependence of the cooling force on the
electron transverse velocity
MI Department Meeting
1 September 2010
Khilkevich Andrei, Belarusian State University, AD/MID
Lionel Prost(Supervisor), Alexander Shemyakin
... | 4 | [
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-0.0... | 43,978 | 43978 | |
Riemann Integrability
May 15th 2008, 01:03 PM
namelessguy
Riemann Integrability
I have no idea how to prove this. Can someone help?
Given a real number x, denote by [x] the largest integer less than or equal to x. Prove that the function defined
$f(x)$ = $\sum_{n = 0}^{\infty}\frac{nx-[nx]}{2^n}$ is Riem... | 5 | [
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0.054443359375,
-0.041259... | 43,979 | 43979 | |
Poincare Group Not Complete Yet, Overlooked Symmetries Of Lorentz/4+1 Spacetime
For more background and related topics, please refer to my website:
www.PhysicsRenaissance.com
I. Introduction
Every semi-simple Lie algebra, say so(3), has a Casimir invariant, I =
J12 + J22 + J32 = constant. The form of this equation... | 4 | [
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0.0380859375,
0.045166... | 43,980 | 43980 | |
SYSTEMS AND METHODS FOR IMPROVING REFERENCE SIGNALS FOR SPATIALLY MULTIPLEXED CELLULAR SYSTEMS
Patent application title: SYSTEMS AND METHODS FOR IMPROVING REFERENCE SIGNALS FOR SPATIALLY MULTIPLEXED CELLULAR SYSTEMS
Sign up to receive free email alerts when patent applications wi... | 4 | [
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0.00811767578125,
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-0.01373291015625,
... | 43,981 | 43981 | |
Diophantine Equations, Step by Step
Date: 10/01/2002 at 12:00:29
From: Jennifer
Subject: Finding all positive integer solutions
Find all positive integer solutions to 43x + 7y + 17z = 400
Date: 10/01/2002 at 14:37:30
From: Doctor Greenie
Subject: Re: Finding all positive integer solutions
Hello, Jennifer -
This p... | 5 | [
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-0.0654296875,
... | 43,982 | 43982 | |
Heat Equation
May 16th 2008, 09:27 AM #1
Newbie
Joined
May 2008
Posts
1
Heat Equation
Could someone help me with the following problem:
Find all smooth functions u: R x [0, +infinity) ->R with the property that both u and u^n are solutions of the heat equation for some integer n>=2.
I do not kn... | 5 | [
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0.041259765625,
-0.002777099609375,... | 43,983 | 43983 | |
Trimble on ETCS II
Context
Foundations
The basis of it all
Foundational axioms
• basic constructions:
• strong axioms
Removing axioms
This is Part II of an exposition by Todd Trimble on ETCS.
See also
Editing help wanted
This is what it is supposed to look like.
Starting with the raw Wordpress text, I fi... | 4 | [
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0.099609375,
0.10791015625,
0.05712890625,
0.0005... | 43,984 | 43984 | |
Homework Help
Posted by Algebra Parent on Friday, March 21, 2008 at 7:20pm.
Can someone tell me if these problems have the right answers? I am tooooooo old to know this any more. I understand the first one, but 2&3 are vaguely familiar.
25x^2+25x+6=0
the answer is x=-1/2 +/- 1/10
#2 solve for V=1/3Bh for B
answer ... | 4 | [
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0.04638671875,
0.0299072265625,
0.1123046875,
-0.0390625,
-0.0052795410... | 43,985 | 43985 | |
Distance Between a Point and a Line
Date: 08/23/98 at 15:52:32
From: liz
Subject: Equations of straight lines
Find the distance between the origin and the line 3x + 4y = 5.
Date: 08/24/98 at 04:06:05
From: Doctor Pat
Subject: Re: Equations of straight lines
Liz,
There is a shortcut to get the answer I am going t... | 4 | [
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-0.03369... | 43,986 | 43986 | |
Quickie #5
December 29th 2006, 06:34 AM #1
Super Member
Joined
May 2006
From
Lexington, MA (USA)
Posts
11,676
Thanks
608
Quickie #5
In the following cryptarithm, each letter represents a distinct digit (base 10):
. . . . . $7(FRYHAM) \:=\:6(HAMFRY)$
Identify the digits.
Hello, ORei... | 5 | [
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0.020263671875,
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0.050537109375,
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-0.10302734375,
... | 43,987 | 43987 | |
Adaptive sampling of 1D functions
Submitted by: pv, 22 November 2012
1 # License: Creative Commons Zero (almost public domain) http://scpyce.org/cc0
2
3 import numpy as np
4
5 def sample_function(func, points, tol=0.05, min_points=16, max_level=16,
6 sample_transform=None):
7 """... | 4 | [
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-0.00714111328125,
-0.0011749... | 43,988 | 43988 | |
ECDL FAQ
ECDL FAQ - version 0.1
Everything you ever wanted to know about Elliptic Curve Discrete Logarithms.
Index
1. Why is this interesting? Is it all about cracking a code?
2. What is a discrete logarithm?
3. Remind me what a finite group is.
4. What is an elliptic curve and what is the group of points on it?
5. ... | 4 | [
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Multiplication Using +, -, and 1/x
Date: 10/25/2000 at 22:33:27
From: Jonathan Silverman
Subject: Puzzle: mathematical operations
Is there a way to multiply two numbers using the addition,
subtraction, and reciprocal functions only?
Which means, I guess, express AB in terms of a function of A and B
using +, -, 1/A ... | 4 | [
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0.07861328125,
-0.0512695312... | 43,990 | 43990 | |
Show this is Integral Domain
December 9th 2012, 10:05 PM #1
Super Member
Joined
Feb 2008
Posts
535
Show this is Integral Domain
A is the set Z (integers), with the following "addition" + and "multiplication" * :
a + b = a + b - 1 and a * b = ab - (a + b) + 2
I've already proven that A is a comm... | 5 | [
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-0.01037... | 43,991 | 43991 | |
Cohomologically trivial stacks
up vote 18 down vote favorite
5
The following theorem of Serre is well-known:
A noetherian scheme $X$ is affine if and only if $H^i(X; \mathcal{F}) = 0$ for all quasi-coherent sheaves $\mathcal{F}$ on $X$ and all $i>0$. (Actually it is enough to have this for $i=1$ and all
coher... | 4 | [
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0.045... | 43,992 | 43992 | |
Prove the polynomial is irreducible..
December 15th 2012, 09:15 PM
Brjakewa
Prove the polynomial is irreducible..
(a) Prove that the polynomial g(x) = x^2 - sqrt (2) is irreducible over Q(sqrt(2)). It follows that g is the minimal polynomial for ^4 (sqrt(2)) <--- (the fourth root of the square root of two)
... | 5 | [
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math problem
Posted by Anonymous on Monday, June 2, 2014 at 5:15pm.
Find an equation of the line that passes through two points.
(0,4) and (7,10)
• math problem - Steve, Monday, June 2, 2014 at 6:01pm
the slope of the line is ∆y/∆x, so
m = 6/7
Now you have a point and a slope, so the line is
y-4... | 4 | [
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... | 43,994 | 43994 | |
Coend computation
up vote 10 down vote favorite
3
Let
$F:A^{\mbox{op}} \to \mbox{Set}$
and define
$G_a:A\times A^{\mbox{op}} \to \mbox{Set}$
$G_a(b,c) = \mbox{hom}(a,b) \times F(c)$.
I think the coend of $G_a$,
$\int^AG_a$,
ought to be $F(a)$--it's certainly true when A is discrete, since then h... | 5 | [
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0.0458984375,
-... | 43,995 | 43995 | |
looking for a formula to solve a particular pythagorean triple
December 16th 2010, 01:14 AM #1
Newbie
Joined
Oct 2010
Posts
12
looking for a formula to solve a particular pythagorean triple
Please help devise a formula that will solve x^2 ┴ (x ┴ 7)^2 = c^2 , where c is a whole number. Thank you.
1. ... | 5 | [
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... | 43,996 | 43996 | |
ar
Math::PlanePath::HexSpiral -- integer points around a hexagonal spiral
use Math::PlanePath::HexSpiral;
my $path = Math::PlanePath::HexSpiral->new;
my ($x, $y) = $path->n_to_xy (123);
This path makes a hexagonal spiral, with points spread out horizontally to fit on a square grid.
28 -- 27 -- 26 -- ... | 4 | [
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-0.10... | 43,997 | 43997 | |
Handbook of Biological Statistics
When to use it
Fisher's exact test is used when you have two nominal variables. A data set like this is often called an "R×C table," where R is the number of rows and C is the number of columns. Fisher's exact test
is more accurate than the chi-squared test or G-test of independence w... | 5 | [
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Problem Set #2
1. We have been discussing binary stars, but a large planetary companion to a Sun-like star could be found using the same methods we have discussed for binary stars. The discovery of extrasolar
planets and brown dwarf companions in an important growing area in astronomy, and the following two proble... | 4 | [
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