content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
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[css3-transitions] Interpolating transforms: a proposal to avoid Euler angles in favor of using quaternions
From: Boris Zbarsky <bzbarsky@MIT.EDU> Date: Wed, 20 Oct 2010 14:19:02 -0400 Message-ID: <4CBF3296.5030805@mit.edu> To: www-style list <www-style@w3.org>
This is a message that was sent to me with the intent of... | 4 | [
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Anisotropies in the CMB - M. White et al.
Annu. Rev. Astron. Astrophys. 1994. 32: 319-70
Copyright © 1994 by . All rights reserved
1.2. Sources of T / T
In the standard recombination picture, the cosmic plasma becomes neutral, and the microwave background photons are last scattered at redshifts z ~ 1100. Hence ... | 4 | [
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Modular Functions in Analytic Number Theory: Second Edition
AMS Chelsea Publishing
1993; 154 pp; hardcover
Volume: 337
ISBN-10: 0-8218-4488-1
ISBN-13: 978-0-8218-4488-5
List Price: US$30
Member Price: US$27
Order Code: CHEL/337.H
Knopp's engaging book presents an introduction to modular functions in number t... | 4 | [
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accept both numbers and letters
Hey
I need your help for a program in common lisp. The program has to do with polynomial manipulation.
My problem is when i do simple arithmetic operations does not accept any letters e.g (p+ x 4)
(defun p+ (p1 p2)
(list '+ p1 p2))
(defun p+ (p1 p2)
(+ p1 p2))
How can i make it in ord... | 4 | [
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If S(n) is the sum of sequence 1, 2, 3, 4, ...n, in terms of
Author Message
TAGS:
If S(n) is the sum of sequence 1, 2, 3, 4, ...n, in terms of [#permalink] 15 Aug 2011, 01:39
... | 4 | [
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factoring problem
03-05-2006, 08:10 PM #1
Registered User
Join Date
Jan 2006
Posts
6
Hi,
I am having trouble trying to factor 999999, i need to only print out the prime number factors of 999999 but right now I am just working on getting all the factors to printout. The first factor
that is printe... | 4 | [
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Algebra II-Please check
Posted by Jodi on Friday, May 13, 2011 at 1:25am.
Please help-What is the equation of the ellipse with foci (0,6), (0,-6) and co-vertices (2,0),(-2,0)
Please explain the steps because I have 5 to do for homework-Thank you-I'm really stuck on this
I thought the answer would be x^2/4 + y^2/40 =... | 4 | [
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An Easy Derivation of the Volume of Spheres Formula
Working 2,000 years before the development of calculus, the Greek mathematician Archimedes worked out a simple formula for the volume of a sphere:
$V=\left ( \frac{4}{3} \right ) \pi r^3$
Of his many mathematical contributions, Archimedes was most proud of this res... | 5 | [
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E
Evaluation of a merger as a capital budgeting decision
When a firm plans to acquire any firm then it should consider the acquisition as a capital budgeting decision. Hence, such a proposal must be evaluated as a capital budgeting decision.
... | 5 | [
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System of equations in 3 variables.
December 2nd 2009, 03:38 PM #1
Newbie
Joined
Dec 2009
From
Fallbrook
Posts
18
System of equations in 3 variables.
1.) 2x + 10y + 6z = 8
x + 5y + 3z = -2
x + y + z = -4
Help! Thanks.
First equation :
$2x + 10y + 6z = 8$
Can be written : ... | 4 | [
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Factorising
January 18th 2008, 04:25 AM #1
Junior Member
Joined
Jan 2008
Posts
31
Factorising
Hello i need some help factorising the following quadratic equation in order to solve it, i have a few to do but i will post an example, then if working out is shown i should be able to do the
rest,
2xs... | 4 | [
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Quotient Rings and Fields
January 18th 2010, 09:51 AM #1
Newbie
Joined
Jan 2010
Posts
6
Hi
I am struggling with the following question I have been set:
Let R be a commutative ring that contains a field F. Let I be an ideal of R with I not equal to R. Show that the quotient ring R/I contains a su... | 4 | [
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solve equation
Hello, cumana! You must have some idea . . . Find the exact solution for: . $<br /> 2\cos x + 1\:=\:0$ We have: . $2\cos x \:=\:-1\quad\Rightarrow\quad \cos x \:=\:-\frac{1}{2}$ What angle has a
cosine of $\frac{1}{2}$ ? You're expected to know that: . $\cos\frac{\pi}{3} \:=\:\frac{1}{2}$ Since cosine is... | 4 | [
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Can someone help with a proof involving Euler's phi function?
September 27th 2010, 02:58 PM #1
Newbie
Joined
Apr 2010
From
Ohio
Posts
12
Can someone help with a proof involving Euler's phi function?
Using the formula for $\varphi(n),$ compute $\varphi(27),\quad \varphi(81),$ and $\varphi(p^\alpha),$ ... | 4 | [
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Is the space of diffeomorphisms homotopy equivalent to a CW-complex?
up vote 20 down vote favorite
6
Clarification: My question concerns the homotopy type of the space of $C^k$ diffeomorphisms with the compact-open $C^k$ topology, where $0< k \leq\infty$. I have stated my question below with $k=1$
for definiteness and... | 5 | [
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No Title
Next: About this document
April 2, 1997
Algebra in the Renaissance
The general cultural movement of the renaissance in Europe had a profound impact also on the mathematics of the time. Italy was especially impacted.
• determination of costs
• determination of revenues
abacist, who wrote the texts fr... | 5 | [
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Forecasting malaria incidence based on monthly case reports and environmental factors in Karuzi, Burundi, 1997–2003
Abstract
Background
The objective of this work was to develop a model to predict malaria incidence in an area of unstable transmission by studying the association between environmental variables and dis... | 4 | [
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Eliminate the Parameter Problem
March 18th 2008, 08:58 AM
thegame189
Eliminate the Parameter Problem
I have to eliminate the parameter of:
x=e^(t) + e^(-t)
y=6-2t
It has to be Function Y in terms of X.
Everything I do has everything cancel. I can't figure out how to do this. I even tried figur... | 5 | [
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CS276 Lecture 16: Pseudorandom Permutations
Scribed by Anupam Prakash
Summary
Today we finish the analysis of a construction of a pseudorandom permutation (block cipher) given a pseudorandom function.
1. The Luby-Rackoff Construction
Recall that if ${F:\{ 0,1 \}^m \rightarrow \{ 0,1 \}^m}$ is a function, then we de... | 5 | [
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Redundant Systems With A Common Threat
Suppose a system is equipped with two redundant components, and the failure of both components (at the same time) represents total failure of the system. Also, each component contains provisions to
protect it from an external threat to which both components are subjected, at so... | 4 | [
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Analysis: Sequences
November 16th 2008, 02:36 PM
GoldendoodleMom
Analysis: Sequences
Suppose lim Sn = S with S > 0.. Prove that there exists a real number N such that Sn > 0 for all natural numbers n.
November 16th 2008, 02:43 PM
Plato
Quote:
$\begin{gathered}<br /> S > 0 \Rightarrow \quad \frac{S}<... | 4 | [
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-0.... | 3,720 | 3720 | |
Finite simple groups.
April 19th 2012, 07:59 PM #1
Member
Joined
Feb 2009
Posts
138
Finite simple groups.
Hi: Problem: Let U be a subgroup of G and 1 < |G:U| <5. Then |G| < 4 or G is not simple.
If |G:U| = 2 I can use a problem (problem A) that says: Let p be the smallest prime divisor of |G|. Then ... | 4 | [
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... | 3,721 | 3721 | |
Inclusion/Exclusion
January 18th 2011, 06:13 PM #1
Member
Joined
Aug 2008
Posts
225
Inclusion/Exclusion
I know the formula for finding the total and I know why this is not enough info, but I guess I don't really understand how to prove this with an example.
There is a class of all boys. We know that... | 4 | [
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Two variable limit question, prove with Paths
October 13th 2009, 05:43 PM #1
Two variable limit question, prove with Paths
I don't know how to type with the math code, so this may look weird but bear with me please.
x^3(y^2)
lim _________
(x,y) -> (0,0) x^2 + y^2
I have already figured that t... | 5 | [
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Adding/Subracting Fractions with Variables
August 15th 2008, 08:51 AM #1
Adding/Subracting Fractions with Variables
I need some help understanding whats going on here.
Description:
When adding fractions with variables in one or more denominators, the LCD will have each variable to its highest power as a ... | 4 | [
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Surface Evolver
Back to top of Surface Evolver documentation. Index.
Next Catenoid example.
Back to top of tutorial.
Example: Mound with gravity.
This example is a mound of liquid sitting on a tabletop with gravity acting on it. The contact angle between the drop surface and the tabletop is adjustable, to simulate th... | 4 | [
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... | 3,725 | 3725 | |
Verbal Problem
July 29th 2010, 06:14 PM
cristinaivelisse
Verbal Problem
A rectangular box with a square base is 20 inches wider than it is tall. If x represents the width of the base of the box, then the volume of the box as a function of x is? ...
please help me with this problem (Nerd)
July 29th 2010, 06... | 4 | [
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cha
two-equation model
Summary - For both internal and external flows, academic TEXSTAN code has a choice of 4 two-equation k-ε models by Launder and Sharma^1, Chien^2, Lam-Bremhorst, as described by Schmidt and Patankar^
3, and Jones-Launder^4. These models vary in subtle details, and one of the constants in the Jone... | 4 | [
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Homework Help
Posted by chris on Friday, March 14, 2008 at 1:31pm.
I am looking for a perpendicular line. I'd appreciate ir if you could tell me if I'm on the right track. I am given y=-5x + 4 and know that a perpendicular line passes through (3,5). I think the
slope of this line would be 1/5 so it would go up (rise) ... | 4 | [
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0.04345703125,
0.0206298828125,
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0.1728515625,
-0.07958984375... | 3,728 | 3728 | |
Applications of pattern-free continued fractions
up vote 10 down vote favorite
5
Questions about continued fractions reminded me about a related diophantine problem. I am not quite sure that diophantine equations are still in fashion but $$ 1^k+2^k+\dots+(m-1)^k=m^k, $$ the
Erdős--Moser equation, is quite special. Thi... | 5 | [
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0.0... | 3,729 | 3729 | |
sin(1/x) and x sin(1/x)
sin(1/x) and x sin(1/x) Limit Examples
The behavior of the functions sin(1/x) and x sin(1/x) when x is near zero are worth noting.
Below are plots of sin(1/x) for small positive x.
We can see that as x gets closer to zero, the function keeps wobbling (or oscillating) back and forth between -... | 5 | [
-0.06396484375,
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0.0108642578125,
-0.0693359375,
0.03... | 3,730 | 3730 | |
Exponential distribution
March 21st 2008, 08:16 AM
heathrowjohnny
Exponential distribution
Suppose that $\theta \sim \text{Exp}(\lambda)$. An estimator for $\theta$ is $\bar{X}$. Suppose that we know that $\frac{2n \bar{X}}{\theta} \sim \chi^{2}_{2n}$. Construct a $100(1-\alpha) \%$
confidence interval for $... | 4 | [
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-0.08... | 3,731 | 3731 | |
Asymptotes and Limits of Infinity
February 11th 2007, 11:35 PM #1
Newbie
Joined
Oct 2006
Posts
18
Directions: sketch the graph.
f(t) = 3t^4 - 4t^2 + 3
This is the first problem I've had like this. Since the polynominal equation isn't obvious, I think I take x to the limit of infinity:
f(t) 3... | 5 | [
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-0.06347656... | 3,732 | 3732 | |
Spline ,Histopolation or Histospline - Matlab
"John D'Errico" <woodchips@rochester.rr.com> wrote in message <h32qqi$l71$1@fred.mathworks.com>...
> "John D'Errico" <woodchips@rochester.rr.com> wrote in message <h32gfc$d2q$1@fred.mathworks.com>...
> > "Paul Meissner" <magnesit@gmx.at> wrote in message <h32fct$aut$1@fred.... | 4 | [
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-0.05712890625,
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0.055419921875,
-0.083984375,
0.005218505859375... | 3,733 | 3733 | |
Example Program: Iterative evaluation of a square root
Next: Summary Up: The while statement Previous: Example Program: Student mark
Frequently in solving scientific problems iterative methods are used. In an iterative method a first approximation to a solution of the problem is produced, then some method which i... | 5 | [
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0.... | 3,734 | 3734 | |
Differentiation Help!
November 11th 2005, 07:14 AM #1
Junior Member
Joined
Oct 2005
Posts
30
Differentiation Help!
Can someone help me on the following questions cos im just so stuck!
1.Find the equations of the tangent and normal to the curve xy=4 at the point where x=2
2.Given that y=ax^2+bx-... | 5 | [
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0.05126953125,
0.037109375,
0.07080078125,
-0.07666015625,
-0.04736328... | 3,735 | 3735 | |
Graph Coloring, or Proof by Crayon
This is a precursor to a post which will actually use graph coloring to do interesting computational things. Even so, there are many fascinating ideas and theorems that result from graph coloring, so
we devote an entire post just to it. For those who need an additional primer on the ... | 5 | [
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0.015380859375,
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... | 3,736 | 3736 | |
Probabilistic Data Structures for Web Analytics and Data Mining
Probabilistic Data Structures for Web Analytics and Data Mining
Posted on May 1, 2012
Statistical analysis and mining of huge multi-terabyte data sets is a common task nowadays, especially in the areas like web analytics and Internet advertising. Analy... | 4 | [
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0.04565429687... | 3,737 | 3737 | |
Team:Cambridge/Modelling
From 2008.igem.org
x
We are interested in using peptide-based quorum-sensing systems from gram-positive bacteria to create self-organising biological systems. We would like to demonstrate how to engineer multicellular
biological systems that are capable of expressing spatial patterns of gene... | 4 | [
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Exact values using trig identities
How would I find the exact value of sin(pie/16) using trig identities?
You will need the the identities $\sin\left( \frac{\theta}{2}\right)=\pm \sqrt{\frac{1-\cos(\theta)}{2}}$ $\cos\left( \frac{\theta}{2}\right)=\pm \sqrt{\frac{1+\cos(\theta)}{2}}$ Note that $\sin\left
( \frac{\pi}{... | 4 | [
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0.05737... | 3,739 | 3739 | |
yr 8 homework
July 25th 2008, 06:57 PM
mathswonderer
yr 8 homework
Find all the three-digit even numbers N such that 693 x N is a perfect square, that is 693 x N = k squared whre k is an integer.
I know that 308 is oneof them but how do we no that it is the only one? are there more?
I think I bascaly k... | 4 | [
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0.0295410... | 3,740 | 3740 | |
Higher dimensional convex hull
up vote 0 down vote favorite
Let $CH(S)$ be a convex hull of a finite set $S$ and denote the set of all the vertices of $CH(S)$ as $Vert(S)$. For a vertex $v \in Vert(S)$, it has an associated set $E(v)$ which is defined as $E
(v)=$ { $x \in Vert(S)$ | $xv$ is an edge of $CH(S)$ }.
My q... | 5 | [
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0.056640625,
-0.00396728515625... | 3,741 | 3741 | |
A couple of Questions
December 10th 2012, 04:53 PM
bahamamath
A couple of Questions
Hey guys , i've pinpointed certain areas in the maths that i have weaknesses in so here are just a few question before next weeks final , i wanted to clarify wondering if you guys can solve for
me asap |:0)
Now here's a ... | 4 | [
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0.00... | 3,742 | 3742 | |
Compounded Interest Question
September 18th 2007, 03:16 PM #1
Newbie
Joined
Jun 2007
Posts
13
Compounded Interest Question
Hello everyone! How are you all doing today? I am having two questions as of now regarding compounded interest.
First one: A small hardware store makes a profit of $20,000 durin... | 4 | [
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0.017822265625,
-0.097... | 3,743 | 3743 | |
Partial Fractions
December 2nd 2008, 01:24 AM #1
Newbie
Joined
Oct 2008
Posts
9
Partial Fractions
Express 1/r(r+1) in partial fractions and use the result to find the sum of the following series as a single fraction in terms of n:
1/1x2 + 1/2x3 + 1/3x2 + ............... + 1/n(n+1)
I can express... | 4 | [
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0.025634765625,
-0.0869140625,
0.029052734375,
-0.0253... | 3,744 | 3744 | |
Trees
Terminology
There's a lot of terminology associated with trees. You should be familiar with the following basic terms:
• tree
• node
• link
• root or root node
• leaf or leaf node
• internal node
• height vs. depth
• level (level 0 is the root)
• child nodes of a parent node
• sibling nodes... | 4 | [
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0.0732421875,
-0.08447265625,
0.... | 3,745 | 3745 | |
Rational functions and approximate expansions
May 30th 2009, 02:31 PM #1
Junior Member
Joined
Mar 2009
Posts
66
Rational functions and approximate expansions
Hi,
I know how to do normal binomial expansions but I can't remember questions quite like this which I've just found in my textbook, by exam be... | 5 | [
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0.051025390625,
0.0186767578125,
-0... | 3,746 | 3746 | |
problem regards hyperbolic function
September 5th 2013, 03:51 AM #1
Junior Member
Joined
May 2013
From
thailand
Posts
43
problem regards hyperbolic function
Hi I have been having a problem regards this question. I spent some time trying to sit through it but to no result.
The Question is
Sh... | 5 | [
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0.04931640625,
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0.018798828125,
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-0.10839... | 3,747 | 3747 | |
Spatial Indexes: Calculating Distance
Montréal, Canada
Wednesday, March 9th 2011, 07:17 EST
During my "Geolocation and Mapping with PHP" talk that I've given a few times I briefly touch on the subject of indexes on data-sets of spatial data. This isn't as simple as just solving Pythagoras
theorem and this article is... | 5 | [
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0.042236328125,
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0.03564453125,
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-0.044677734375... | 3,748 | 3748 | |
[SOLVED] Related rates: trapezoidal water trough
July 24th 2008, 04:08 PM #1
[SOLVED] Related rates: trapezoidal water trough
A water trough is 2 ft deep and 10 ft long. It has a trapezoidal cross section with base lengths 2 and 5 feet.
□ Find a relationship between the volume of water in the tank at any gi... | 5 | [
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0.0673828125,
... | 3,749 | 3749 | |
GMAT Problem Solving Sample Questions and Answers | Practice Questions
Overview
These questions are your classic standardized test math questions—think SAT but more difficult. These multiple-choice problems (five answer choices) test your quantitative reasoning ability by
presenting questions that incorporate arithmet... | 4 | [
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0.03125,
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0.048828125,
0.027587890625,
0.0301513671875,
-0.051025390625,
-0.004425... | 3,750 | 3750 | |
Permutations and Combinations
May 12th 2008, 08:21 AM #1
Newbie
Joined
May 2008
Posts
1
1. I am going to choose 6 students out of the 15 who currently have A's to be mentors for the students who have C's or lower. How many ways can a group of 6 be selected?
2. I've decided that the mentor group should... | 4 | [
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0.00165557861328125,
0.06689453125,
... | 3,751 | 3751 | |
Question relating to the coefficients of the expansion of (2k + x)^n
February 2nd 2013, 04:48 PM #1
Question relating to the coefficients of the expansion of (2k + x)^n
Hello,
The question is:
In the binomial expansion of $(2k + x)^n$, where k is a constant and n is a positive integer, the coefficient o... | 4 | [
0.00750732421875,
0.021484375,
-0.0361328125,
0.07568359375,
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0.0040283203125,
0.010986328125,
0.00141143798828125,
0.022705078125,
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-0.07080078125,
-0.10791015625,
0.038818359375,
0.0625,
0.0228271484375,
0.0612792... | 3,752 | 3752 | |
there is a careless mistake somewhere whcih i cant spot in my equation
December 26th 2009, 12:54 AM #1
Super Member
Joined
Aug 2009
Posts
639
there is a careless mistake somewhere whcih i cant spot in my equation
find the limit of ( 9x +1 ) ^( cot x) as x tends to 0 from the positive direction.
to s... | 5 | [
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0.11328125,
0.005035400390625,
-0.0113525390625,
-0.10498046875,
-0.01171875,
... | 3,753 | 3753 | |
Scientific Notation
Scientific notation provides us with the only reasonable means of dealing with a broad range of magnitudes, such as we encounter in astronomy. The "trick" of using special units is useful only so
long as every... | 4 | [
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... | 3,754 | 3754 | |
Triangular Number Sequence
This is the Triangular Number Sequence:
1, 3, 6, 10, 15, 21, 28, 36, 45, ...
This sequence is generated from a pattern of dots which form a triangle.
By adding another row of dots and counting all the do... | 4 | [
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-0.0737304... | 3,755 | 3755 | |
Check my work regarding vector magnitude and direction?
June 30th 2010, 04:04 PM #1
Junior Member
Joined
Feb 2008
Posts
62
Check my work regarding vector magnitude and direction?
Sorry if this is the wrong section, but it came from my Calc book.
The question is : find a vector of norm $10\sqrt{2}$ i... | 4 | [
-0.002227783203125,
0.03564453125,
-0.0201416015625,
-0.07373046875,
-0.0218505859375,
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0.0152587890625,
-0.068359375,
0.07080078125,
0.07275390625,
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0.025390625,
0.052734375,
-0.056884765625,
0.05517578125,
-0.01025390625,
... | 3,756 | 3756 | |
Need some help with a line integral problem...
April 25th 2010, 08:54 AM
Redding1234
Need some help with a line integral problem...
Problem: Let C be the curve of intersection of the upper hemisphere $x^2 + y^2 + z^2 = 4, z\geq0$ and the cylinder $x^2 + y^2 = 2x$, oriented counterclockwise as viewed from high ab... | 5 | [
-0.015625,
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0.11328125,
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0.0225830078125,
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-0.034179... | 3,757 | 3757 | |
Supplement to 'Fermat's Spiral and the Line Between Yin and Yang'
[Accompanies article to appear in American Mathematical Monthtly.]
[applet written by Tom Leathrum]
The graph here shows the unit circle and the polar curve \(\theta=\pi r^2 T\), a "Fermat spiral," where \(T\) is the value of the "turn" parameter (whi... | 4 | [
-0.06591796875,
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-0.11962890625,
-0... | 3,758 | 3758 | |
simple integration by parts question.
November 26th 2010, 05:35 PM #1
Member
Joined
Nov 2008
Posts
146
simple integration by parts question.
Hi
This is something i don't remember what I'm supposed to do. So anyway here goes.
For example if my function was
xe^yx and i wanted to integrate wi... | 4 | [
0.01409912109375,
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0.1484375,
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0.035644... | 3,759 | 3759 | |
Complex cofficients in differencial equation
Post in correct subforum. This has absolutely nothing to do with algebra!
Why did you set c1 = c2 = 1/2 and c1 = 1/2i and c2 = -1/2i? How did you get that to equal e^(\alpha t) \cos t and e^(\alpha t) \sin t?
NOTE: I have corrected the 9:30AM version of this! You need to s... | 4 | [
-0.1044921875,
0.0106201171875,
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0.04736328125,
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0.0205078125,
0.047607421875,
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-0.06689453125,
0.0029449462... | 3,760 | 3760 | |
Ma
PDEtools[InvariantSolutions] - computes the group invariant (symmetry) solutions for a given PDE system
Calling Sequence
InvariantSolutions(PDESYS, DepVars, S, 'options'='value')
Parameters
PDESYS - a PDE or a set or list of them; it can include ODEs and not differential equat... | 4 | [
-0.09619140625,
0.016845703125,
-0.01513671875,
-0.0020294189453125,
0.02978515625,
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0.0030059814453125,
-0.0211181640625,
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0.115234375,
-0.021728515625,
-0.0198974609375,
-0.01019287109375,
-0.0078125,
-0.0203857421875,
-0.004974365... | 3,761 | 3761 | |
Partial derivatives.
August 30th 2011, 01:07 PM #1
Member
Joined
Jul 2011
Posts
80
Partial derivatives.
Hi
I am trying to study partial derivatives but my maths books does not cover it very well-the examples are much too difficult.
I am looking at a previous exam question -can some body tell me i... | 4 | [
-0.007354736328125,
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0.01513671875,
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0.03857421875,
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-0.053955078125,
... | 3,762 | 3762 | |
40 CFR 1065.655 - Chemical balances of fuel, intake air, and exhaust.
Status message
There are 2 Updates appearing in the Federal Register for
40 CFR 1065
. View below or at
eCFR (GPOAccess)
§ 1065.655 Chemical balances of fuel, intake air, and exhaust.
(a) General. Chemical balances of fuel, intake air, and exhau... | 5 | [
-0.01348876953125,
-0.0137939453125,
-0.0089111328125,
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0.05... | 3,763 | 3763 | |
FORECASTING
PERSONAL SELLING:
FORECASTING
market potential
an estimate of the maximum possible sales of a good or service for an entir... | 5 | [
-0.064453125,
-0.049072265625,
-0.0308837890625,
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-0.0722... | 3,764 | 3764 | |
resultant vectors
April 3rd 2008, 03:15 PM #1
Newbie
Joined
Apr 2008
Posts
6
Hi... I'm having a little trouble with this problem,
A power boat crossing a wide river has a compass heading of 25 degrees and speed relative to the water of 15 mph. The river is flowing in the direction of 135 degrees at 3... | 4 | [
-0.041748046875,
0.087890625,
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0.056640625,
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0.0089111328125,
-0.03112792968... | 3,765 | 3765 | |
Proportionality in Similar Triangles: A Cross-Cultural Comparison - Introduction
A fundamental result of geometry, used often in secondary and collegiate mathematics, is the equality of ratios of corresponding sides in similar triangles. This concept is expected knowledge of
students in physics, engineering, and the s... | 4 | [
-0.0478515625,
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-0... | 3,766 | 3766 | |
Determine if the subset is a subspace of the indicated vector space.
May 23rd 2013, 10:15 AM #1
Junior Member
Joined
Dec 2012
From
United States
Posts
35
PROBLEM:
Determine if the subset is a subspace of the indicated vector space. Give reasons for your answers.
1. The zero vector together w... | 4 | [
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0.... | 3,767 | 3767 | |
Rules of ExponentsAlgebraLAB: Lessons
An
exponent
is something that raises a number or a
variable
to a power. It is a process of repeated multiplication. For example, the
expression base
and the 3 is called the
exponent
. Both the
base
and the
exponent
can be either a number or a variable.
Each of the foll... | 4 | [
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0.0234375,
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0.018798828125,
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0.09912109375,
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0.00049591064453125,
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0.054931640625,
0.0220947265625,
-0.0810546875,
0.0301513671... | 3,768 | 3768 | |
alternating series sum
calculate the sum of (-1)^n (n/8^n) i know fourier coefficients and bessels inequality how to evaluate this
The sum, $\sum_{n=1}^{\infty} (-1)^n\frac{n}{8^n}$, can be evaluated by using only elementary techniques. Let $S=\sum_{n=1}^{\infty} (-1)^n\frac{n}{8^n}$...(1) $8S=\sum_{n=1}^{\infty} (-1)... | 5 | [
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-0.115234375,
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0.0673828125,
-0.07666015625,
... | 3,769 | 3769 | |
A toy problem
Suppose we have some apples, bananas and cherries, and we are planning what to eat on the weekend. Let’s start with no constraints, so we can choose to eat nothing both days, or eat all three kinds
of fruit on both days. How many different kinds of diets are there?
We translate this to a ZDD problem as ... | 5 | [
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0.043701171875,
-0.0317382812... | 3,770 | 3770 | |
Inverted Pendulum: System Modeling
Key MATLAB commands used in this tutorial are: tf , ss , set
Contents
Problem setup and design requirements
The system in this example consists of an inverted pendulum mounted to a motorized cart. The inverted pendulum system is an example commonly found in control system textbook... | 4 | [
-0.0732421875,
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0.10791015625,
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0.09912109375,
0.0869140625,
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-0.053955078125,
-0.06396484375,
0.049560546875,
0.0133056640625,
0.000576019287109... | 3,771 | 3771 | |
Express rational function in terms of hyperbolic function
March 18th 2011, 04:52 PM #1
Newbie
Joined
Mar 2011
Posts
3
Express rational function in terms of hyperbolic function
Hi! I'm new to this forum
Express the rational function [(16x^4)-1]/[(16x^4)+1] in terms of a hyperbolic function, logarithm... | 5 | [
0.034423828125,
0.1064453125,
0.045654296875,
-0.0064697265625,
0.0235595703125,
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0.0037689208984375,
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0.1025390625,
-0.02197265625,
0.038330078125,
-0.018798828125,
-0.05810546... | 3,772 | 3772 | |
MathGroup Archive: January 2007 [00389]
[Date Index] [Thread Index] [Author Index]
Re: MathKernel crashes
• To: mathgroup at smc.vnet.net
• Subject: [mg72819] Re: MathKernel crashes
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail... | 5 | [
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-0.0341796875,
-0.0517578125,
0.0167236328125,
-0.06787109375,
0.0122... | 3,773 | 3773 | |
i
Remove outliers
18 Jun 2012
Turns outliers from a vector or matrix to NaN based on modified Thompson Tau method
outliers(X0, num_outliers)
%% outliers function: remove outliers based on Thompson Tau:
function [X, out... | 4 | [
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-0.0145263671875,
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0.0625,
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0.06640625,
-0.0098876953125,
-0.0576171875,
0.00897216796875,
0.003997802734375,
0.037109375... | 3,774 | 3774 | |
nLab
Context
Group Theory
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Contents
Idea
$Ab$ denotes the category of abelian groups: it ... | 4 | [
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0.040771484375,
0.00799... | 3,775 | 3775 | |
Circulation
May 2nd 2009, 11:43 AM #1
Super Member
Joined
Jun 2008
Posts
829
Circulation
Calculate the circulation of vector field F arrond $\alpha$
1) $F(x,y) = (x-y)i + (x+y)j$ and $\alpha$ is the closed polygonal ABCDA traveled once in anticlockwise joining the points $A(1,0)$, $B(1,2)$, $C(0,2)$... | 5 | [
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0.03515625,
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0.02880859375,
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-0.035400390625,
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-0.01611328125,
-0.0269775390625,
-0.03564453125,
0.047607421875,
-0.11181640625... | 3,776 | 3776 | |
Appendix C
cartome.org
Field Manual 3-34.331 TOPOGRAPHIC SURVEYING 16 January 2001
TOC Chap1 2 3 4 5 6 7 8 9 10 11 AppA AppB AppC AppD Gl Bib
Appendix C
Basic Survey Computations
This appendix contains recommended procedures for performing basic survey computations. Until recently, three different forms were used ... | 5 | [
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0.0498046875,
-0.11962890625,
-0.03588867... | 3,777 | 3777 | |
Polar Curves stuff
find the area of the region inside one loop of the lemniscate r^2=4sin2theta
Hello, leinadwerdna! Find the area of the region inside one loop of the lemniscate: $r^2\:=\:4\sin2\theta$ We really have very little do . . . Formula: . $A \;=\;\tfrac{1}{2}\int^{\beta}_{\alpha} r^2
\,d\theta$ If you recog... | 4 | [
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0.103515625,
-0.06884765625,
-0.0021... | 3,778 | 3778 | |
[untitled]
; Church Numerals
; ---------------
; But how to represent numbers in lambda calculus? Alonso Church, the
; logician who invented lambda calculus suggested the following method:
(define zero (lambda (f) (lambda (x) x)))
(define one (lambda (f) (lambda (x) (f x))))
(define two (lambda (f) (lambda (x) (f (f... | 5 | [
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-0.08642578125,
0.078125,
-0.0295... | 3,779 | 3779 | |
Help with proof set A= set B
October 10th 2012, 12:22 PM #1
Newbie
Joined
Oct 2011
Posts
3
So here's the question
Let
A = {n ∈ N : the last digit of 2^n is 8},
B = {n ∈ N : n+1 is divisible by 4}.
Show that A = B.
Now i understand what this question is saying and i understand that... | 5 | [
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0.048095703125,
-0.02685546875,
-0.016723632... | 3,780 | 3780 | |
Logarithm Equation
October 31st 2010, 03:17 AM #1
Junior Member
Joined
Apr 2010
Posts
42
Solve $\lg(4^p - 4) - p\lg2 = \lg3$
I am supposed to do corrections for this question but I do not know how.
The correct answer is $p = 2$
Here are the steps I have done:
$\lg(4^p - 4) - p\lg2 = \lg3$... | 4 | [
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A Model for Chagas Disease with Oral and Congenital Transmission
Abstract
This work presents a new mathematical model for the domestic transmission of Chagas disease, a parasitic disease affecting humans and other mammals throughout Central and South America. The model
takes into account congenital transmission in bot... | 4 | [
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-0.034423828125,
-0.050... | 3,782 | 3782 | |
MathPhys Archive
There may be a confusion regarding the meaning of “limit undefined”. It is actually a matter of opinion. My notion of “limit undefined” is different from that of your textbook. In your textbook, the
limit is said to be undefined if it fails to exist as a number. So for instance the limit \[\lim_{x\to 0... | 5 | [
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... | 3,783 | 3783 | |
Segmentation of 2D AND 3D textures from estimates of the local orientation.
Link/Page Citation
ABSTRACT
We use a method to estimate local orientations in the n-dimensional space from the covaria... | 4 | [
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A critical stress model for cell motility
Abstract
A detailed theoretical model that combines the conventional viscoelastic continuum description of cell motion with a dynamic active stress is presented. The model describes the ameboid cells movement
comprising of protrusion and adhesion of the front edge followed by ... | 4 | [
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Eigenvalues of non-symmetric matrix and its transpose
up vote 5 down vote favorite
2
What more can be said about the eigenvalues (especially the spectrum) of the $N \times N$ matrix ${\bf M} = {\bf A} + {\bf A}^T$ in terms of $\bf A$ if $\bf A$ is not symmetric and its eigenvalues
are not necessarily positive ($\bf A$... | 4 | [
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[SOLVED] Anyone know ?
June 13th 2006, 04:57 PM #1
jayson81
Guest
[SOLVED] Anyone know ?
The curves y + ax^2 +b and y = 2x^2 +cx have a common tangent at the point (-1,0).
Find a, b and c.
jayson81
The curves y + ax^2 +b and y = 2x^2 +cx have a common tangent at the point (-1,0).
Find a, b and c.... | 4 | [
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Understanding Topology Proof
July 18th 2011, 09:04 AM #1
Understanding Topology Proof
Studying on my own currently and having trouble understanding a topology proof.
Theorem: Compact subsets of metric spaces are closed
Proof
Let $K$ be a compact subset of a metric space $X$. We shall prove that the ... | 5 | [
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-0.04272... | 3,788 | 3788 | |
Solve equation tanx=3sinx
December 13th 2009, 08:46 AM #1
Junior Member
Joined
Nov 2009
Posts
58
Solve equation tanx=3sinx
Hi just worked through this question:
Solve the equation:
$tan(x) = 3sin(x)$
for $-180 < 0 < 180$
I get cos(x) = 1/3
and x = +- 70.5
The answer says it's... | 4 | [
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Integration by parts with substitution
September 4th 2011, 01:20 PM
satis
Integration by parts with substitution
Integration by parts I understand, but part of the problems for this section has instructions to "First make a substitution and then use integration by parts to evaluate the integral". The book
it... | 5 | [
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... | 3,790 | 3790 | |
Here's another (harder) one
August 13th 2007, 11:34 PM #1
Newbie
Joined
Aug 2007
Posts
7
Here's another (harder) one
Graph the following showing all working
4X^3/((X-4)^2(X+2))
The main problem i'm having with this one is finding the stationary point and the assymptotes. any help appreciated.
... | 5 | [
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Trigonometric Equation
$0^o \leq x \leq 360^o$ Solve this equation in terms of the angle of x $<br /> cot^2x-\sqrt{3}cotx=0<br />$
Hello, Let y be cot x. The problem is now to solve $y^2 - \sqrt{3} y = 0$ -> $y=0 \ \text{or} \ y=\sqrt{3}$ Between 0° and 180° the cot function is decreasing. So there is one and only one... | 4 | [
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Content
Section 5: Introducing Quantum Mechanics
As we saw in the previous section, there is strong evidence that atoms can behave like waves. So, we shall take the wave nature of atoms as a fact and turn to the questions of how matter waves behave
and what they mean.
Figure 16: Werner Heisenberg (left) and Erwin... | 4 | [
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Higher-order spherical
telescopeѲptics.net ▪ ▪ ▪ ▪ ▪▪▪▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ CONTENTS
4.1.3. Higher-order spherical aberration
Considering the importance of center field c... | 4 | [
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Geometry of a Circle
October 25th 2008, 01:07 AM
BG5965
Geometry of a Circle
Please help me solve these 3 problems relating to geometry of a circle.
1) ABCDEF is a hexagon inscribed in a circle. What is x + y + z?
http://i301.photobucket.com/albums/n...agonCircle.jpg
2) In this figure, find the val... | 4 | [
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Choosing Non-Consecutive Integers from a list of N Integers
February 21st 2008, 11:18 AM
Niall2
Choosing Non-Consecutive Integers from a list of N Integers
Prove that the number of ways choosing k integers from the integers 1,2,3...n, such that no two of the chosen integers are consecutive is:
(n-k+1) C k [a... | 4 | [
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Elliptic Curve Cryptography (ECC)
May 21st, 2014 by Rossy Guide
What is this?
Elliptic Curve Cryptography (ECC) comes to public key cryptography based on elliptic curve theory that can be used to create faster, smaller, and more efficient cryptographic keys. Elliptic curves
are also used in several integer factoriza... | 4 | [
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Attracting Fixed point
Attracting Fixed point and Period 2 orbit
The main cardioid equation
There are always two fixed points z[∗] = f(z[∗ ]) for a quadratic map
f(z[∗ ]) - z[∗] = z[∗]^2 + c - z[∗] = 0, (1)
z[1,2] = 1/2 ∓ (1/4 - c)^½. (2)
A fixed point with multiplier λ = f '(z[∗ ]) = 2z[∗] is attracting if
|λ| ... | 4 | [
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Help with Riemann sums for a continuous function
August 26th 2006, 06:32 PM #1
Junior Member
Joined
Aug 2006
Posts
30
Help with Riemann sums for a continuous function
I couldn't get LaTEX to display this one, it kept erroring out after about 3/4 of the equation was entered. So I pasted a jpg instead. Tha... | 4 | [
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