content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A Statistical Regression Equation for the Binding Energies of Nuclei Taking Into Account
the Heteroskedasticity of the Random Term
βββββββββββββββββββββββββββββββ
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HIV Sexual Transmission Is Predominantly Driven by Single Individuals Rather than Discordant Couples: A Model-Based Approach
Abstract
Understanding the relative contribution to HIV transmission from different social groups is important for public-health policy. Information about the importance of stable serodiscordant... | 4 | [
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the encyclopedic entry of Chua
Chua's circuit
is a simple
electronic circuit
that exhibits classic
chaos theory
behavior. It was introduced in 1983 by
Leon O. Chua
, who was a visitor at
Waseda University
in
Japan
at that time. The ease of construction of the circuit has made it a ubiquitous real-world examp... | 4 | [
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Constructing a Small-Region DSGE Model
ISRN Economics
VolumeΒ 2013Β (2013), Article IDΒ 825862, 9 pages
http://dx.doi.org/10.1155/2013/825862
Research Article
Constructing a Small-Region DSGE Model
School of Commerce, Meiji University, 1-1 Kanda-Surugadai, Chiyoda-ku, Tokyo 101-8301, Japan
Received 8 January 2013; Acc... | 4 | [
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Homework Help
Posted by Steve on Tuesday, February 20, 2007 at 9:26pm.
Simplifying Radicals, Use the quotient property to simplify the expression. 3 times the square root of 6/3
3*sqrt(6/3) is the same thing as saying 3*sqrt(2)
Your problem:
3β(6/3) is the same as 3β6/β3
To rationalize the denominator, multiply bo... | 4 | [
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Proving a Couple of Trig Identities
November 7th 2011, 02:52 PM #1
Newbie
Joined
Oct 2011
Posts
4
Proving a Couple of Trig Identities
sin^2x - tan^2x = -sin^2x tan^2x
I kept working on tan on both sides, but cannot seem to get them to equal.
also this one
sin^4x + 2sin^2x.cos^2x + cos^4x =... | 4 | [
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gamma distribution
March 16th 2010, 03:19 PM #1
Junior Member
Joined
Oct 2009
Posts
33
gamma distribution
For Z distributed on R^3 with Z1, Z2, Z3 IID Z ~ exp(1)
I have X = (Z2 + Z3)/(Z1 + Z2 + Z3)
How can i determine the distribution of X and obtain its mean and variance?
I was thinking pe... | 5 | [
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Maxiumum Likelihood function
observations 1,2,...n are made from a distribution with the following pdf: f(x)=theta/x^(theta+1) find an expression for theta hat.
Starting from the definition of the liklihood function, you end up with $\frac{\theta ^ n}{\prod _{i = 1} ^ n x_i ^ {\theta + 1}}$. From there, the trick shou... | 4 | [
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Sum and product of limits
September 2nd 2008, 01:51 PM #1
Junior Member
Joined
Sep 2008
Posts
35
Sum and product of limits
Evaluate the limit or explain why it does not exist.
1.) (1/x - 1/2 )(1/(x-2)) as x approaches 2
2.) 2x/(x+4) + 8/(x+4) as x approaches -4
I concluded that both 1 and ... | 4 | [
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the encyclopedic entry of alternating-group
In
mathematics
, an
alternating group
is the
group
of
even permutations
of a
finite set
. The alternating group on the set {1,...,
n
} is called the
alternating group of degree n
, or the
alternating group on n letters
and denoted by A
[n]
or Alt(
n
).
Fo... | 4 | [
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Performance of Composite Implicit Time Integration Scheme for Nonlinear Dynamic Analysis
Mathematical Problems in Engineering
VolumeΒ 2008Β (2008), Article IDΒ 815029, 16 pages
http://dx.doi.org/10.1155/2008/815029
Research Article
Performance of Composite Implicit Time Integration Scheme for Nonlinear Dynamic Analysis
... | 5 | [
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Black-Scholes Fuzzy Numbers as Indexes of Performance
Applied Computational Intelligence and Soft Computing
VolumeΒ 2010Β (2010), Article IDΒ 607214, 7 pages
http://dx.doi.org/10.1155/2010/607214
Research Article
Black-Scholes Fuzzy Numbers as Indexes of Performance
Dipartimento di Statistica e Matematica per la Ricerc... | 5 | [
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A man purchased $510 worth savings bonds in denominations of
Author Message
TAGS:
A man purchased $510 worth savings bonds in denominations of [#permalink] 16 Oct 2012, 09:39
... | 4 | [
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trapeze rule estimate error
May 4th 2010, 08:39 AM
charikaar
trapeze rule estimate error
Consider the integral $I=\int_a^bf(x)dx$
(a) Write the expression of the trapezoidal rule of integration for approximating I.
$\int_{a}^{b} f(x)\, dx \approx (b-a)\frac{f(a) + f(b)}{2}$
How do i find estimate ... | 4 | [
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Just a simple order of operations question
May 30th 2012, 07:49 AM
Reckoner
Re: Just a simple order of operations question
Is that your work there? Because that looks good to me (so long as we agree that x is positive and that y and z are nonzero).
You are correct when you say that raising a product to an n... | 4 | [
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Functional Contractive Maps in Triangular Symmetric Spaces
Journal of Mathematics
VolumeΒ 2013Β (2013), Article IDΒ 637521, 6 pages
http://dx.doi.org/10.1155/2013/637521
Research Article
Functional Contractive Maps in Triangular Symmetric Spaces
βA. Myllerβ Mathematical Seminar, Alexandru Ioan Cuza University, 700506 I... | 5 | [
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Prove no rational number whose square is 98
March 4th 2009, 12:56 PM #1
Newbie
Joined
Feb 2009
Posts
21
Prove no rational number whose square is 98
Q: Prove that there is no rational number whose square is 98
Here is what i have so far:
Suppose, for contradiction, that there is a rational numbe... | 4 | [
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Proposition 22
If there are three plane angles such that the sum of any two is greater than the remaining one, and they are contained by equal straight lines, then it is possible to construct a triangle out of the
straight lines joining the ends of the equal straight lines.
Let there be three plane angles ABC, DEF, a... | 4 | [
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differential equations
November 15th 2012, 01:45 PM
NettieL
differential equations
Hi,
I need a bit of help with this question:
'A polluted river with a nutrient concentration of 90g.m^3 is flowing at a rate of 100m^3/day into an estuary of volume 1000m^3. At the same time, water from the estuary is fl... | 5 | [
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Finding area
October 20th 2008, 03:19 PM
live_laugh_luv27
Finding area
A rectangular field is to be enclosed by a fence. An existing fence will form one side of the enclosure. The amount of new fence bought for the other three sides is 1200 feet. What is the maximum
area of the enclosed field?
Please sh... | 5 | [
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Differential Equation Problem 2
September 24th 2009, 05:45 PM
eXist
Differential Equation Problem 2
Once again a friend has a diff-e-q problem that he needs help with:
A woman bails out of an airplane at an altitude of 10,000 ft, falls freely for 20 s, then opens her parachute. How long will it take her to ... | 5 | [
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Differential equation problem
July 20th 2012, 09:53 PM #1
Newbie
Joined
Jun 2012
From
Oregon
Posts
4
Differential equation problem
One study suggests that from 1955 to 1970, the number of bachelor's degrees in physics awarded per year by U.S. universities grew exponentially, with growth constant k=0.... | 4 | [
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Dynamics of a Single Species in a Fluctuating Environment under Periodic Yield Harvesting
Journal of Applied Mathematics
VolumeΒ 2013Β (2013), Article IDΒ 167671, 12 pages
http://dx.doi.org/10.1155/2013/167671
Research Article
Dynamics of a Single Species in a Fluctuating Environment under Periodic Yield Harvesting
^1C... | 5 | [
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-Subspace Lattice Algebras
Abstract and Applied Analysis
VolumeΒ 2014Β (2014), Article IDΒ 969265, 5 pages
http://dx.doi.org/10.1155/2014/969265
Research Article
Lie Triple Derivations on -Subspace Lattice Algebras
^1Department of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, China
^2Department... | 5 | [
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New Nonsmooth Equations-Based Algorithms for
Journal of Applied Mathematics
VolumeΒ 2012Β (2012), Article IDΒ 139609, 14 pages
http://dx.doi.org/10.1155/2012/139609
Research Article
New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications
^1College of Mathematics and Econometrics, Hunan Univers... | 5 | [
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Modular Arithmetic
October 15th 2006, 11:54 AM
JaysFan31
Modular Arithmetic
I have the following problem:
If p is prime, prove that the only solutions of (x^2)+x=0 in Zp are 0 and p-1.
Ok I did this:
I re-wrote (x^2)+x=0 in Zp to (x^2)+x=0 (mod p). If this is true, then p divides (x^2)+x. I factored... | 4 | [
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... | 25,825 | 25825 | |
Common Roots in extension fields of F
April 14th 2013, 01:47 PM #1
Newbie
Joined
Apr 2013
From
Indiania
Posts
3
Common Roots in extension fields of F
Let F be a field, and let $p(x), q(x) \in F[x]$. If $p(x)$ and $q(x)$ have a common root c in some extension of F, they have a common factor of positiv... | 5 | [
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Hardy-Cross
Hardy-Cross Pipe Network Tutorial
This program is intended as an introduction to the Hardy-Cross method of analyzing simple pipe networks. The Hardy-Cross method consists of the following procedure:
- Number each of the various loops
- Assume a flow direction (clockwise = positive ; ... | 5 | [
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0.08447265625,
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0.0537109375,
-0.1054... | 25,827 | 25827 | |
Finding the radius, solving, and finding theta?
June 13th 2009, 11:20 AM
AlphaRock
Finding the radius, solving, and finding theta?
#1 In a circle, an arc of length 30 cm contains a central angle of 120 degrees. Determine the radius of this circle.
Work: 30/(2(pi)r) = (3pi/4)/2pi
r= 40/pi... But this isn... | 4 | [
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... | 25,828 | 25828 | |
Simple Equation Help
July 24th 2010, 03:56 AM #1
Newbie
Joined
Jul 2010
Posts
9
Hey All,
I am looking through an engineering book and it has assumed the user can solve this equation and given the answer for C, but I cant figure out how to solve it myself. Can anyone help??
$4c2+1820c+17400 = 238... | 4 | [
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Inductor
An inductor is a passive electrical device employed in electrical circuits for its property of inductance. An inductor can take many forms.
Contents
1 Physics
2 In Electric Circuits
3 Q Factor
4 Formulae
5 Inductor Construction
6 Applications
7 Synonyms
8 External links
10 References
Physics
Overview
Ind... | 4 | [
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... | 25,830 | 25830 | |
What is this? Expert help needed
August 23rd 2010, 04:50 PM #1
Newbie
Joined
Aug 2010
Posts
4
What is this? Expert help needed
The other day I was messing around with a simple data set. The values of f(x) when f(x) = x^2 with the integers one through five. I found some startling patterns.
X = 1 2 3... | 4 | [
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... | 25,831 | 25831 | |
Tough and tricky: Probability of integr being divisible by 8
Author Message
TAGS:
Tough and tricky: Probability of integr being divisible by 8 [#permalink] 11 Oct 2009, 17:33
... | 4 | [
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Finite subgroups of Q/Z
How do I prove that every finite subgroup of Q/Z is cyclic? Could someone help me?
let G be a finite subgroup of Q/Z. since G is finite, it is finitely generated by some finite set of cosets {qi+Z: i = 1,2,...,n}. suppose we pick each qi in (0,1) and write qi = ai/bi, with gcd
(ai,bi) = 1, for ... | 5 | [
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0.00653076171875... | 25,833 | 25833 | |
Algebra, Problems For Fun (27)
July 2nd 2009, 10:09 AM #1
MHF Contributor
Joined
May 2008
Posts
2,295
Thanks
7
Algebra, Problems For Fun (27)
Let $G$ be a finite group of odd order and $1 eq g \in G.$ Prove that $g$ is not conjugate to $g^{-1}.$
Suppose $g=ag^{-1}a^{-1}$ .......... (1)
Then... | 5 | [
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Dynamic Analysis of Shear Flows over a Porous Medium in a Cylindrical Tube
Advances in Mechanical Engineering
VolumeΒ 2013Β (2013), Article IDΒ 168215, 8 pages
http://dx.doi.org/10.1155/2013/168215
Research Article
Dynamic Analysis of Shear Flows over a Porous Medium in a Cylindrical Tube
Department of Mechanical Engin... | 5 | [
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0.0... | 25,835 | 25835 | |
Combination Circuits
Previously in Lesson 4, it was mentioned that there are two different ways to connect two or more electrical devices together in a circuit. They can be connected by means of series connections or by
means of parallel connections. When all the devices in a circuit are connected by series connections... | 4 | [
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... | 25,836 | 25836 | |
Detection and Reduction of Middle-Frequency Resonance for Industrial Servo with Self-Tuning Lowpass Filter
Journal of Control Science and Engineering
VolumeΒ 2012Β (2012), Article IDΒ 478907, 12 pages
http://dx.doi.org/10.1155/2012/478907
Research Article
Detection and Reduction of Middle-Frequency Resonance for Industr... | 4 | [
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0.01... | 25,837 | 25837 | |
Range and inverse of bijective functions
November 15th 2009, 11:21 AM
Hellbent
Range and inverse of bijective functions
Need help with functions, please.
For each of the following bijective functions find the range S and the inverse:
a.) f : x |β xΒ² - 1 (x β R, x β₯ 0)
b.) f : x |β (x + 1)Β² ((x β R... | 4 | [
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0.0859375,
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-0.... | 25,838 | 25838 | |
Relaxed Extragradient Algorithms for the Split Feasibility Problem
Journal of Applied Mathematics
VolumeΒ 2014Β (2014), Article IDΒ 468079, 10 pages
http://dx.doi.org/10.1155/2014/468079
Research Article
Relaxed Extragradient Algorithms for the Split Feasibility Problem
^1School of Mathematics and Information Engineer... | 5 | [
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0.125,
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-0.031... | 25,839 | 25839 | |
Application of Laser Vibrometer to the Measurement and Control of Cable Tensile Forces in Cable-Stayed Bridges
International Journal of Distributed Sensor Networks
VolumeΒ 2012Β (2012), Article IDΒ 810682, 7 pages
http://dx.doi.org/10.1155/2012/810682
Research Article
Application of Laser Vibrometer to the Measurement a... | 4 | [
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... | 25,840 | 25840 | |
Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems
Discrete Dynamics in Nature and Society
VolumeΒ 2014Β (2014), Article IDΒ 541918, 10 pages
http://dx.doi.org/10.1155/2014/541918
Research Article
Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems
^1School... | 4 | [
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Help with Power Series: Proof
Prove that for -1<x<1
1/(x+1) =
infinite
Ξ£ [(-1)^n][x^n] = 1 - x + x^2 - x^3 + ...
n=0
ln(1+x) =
infinite
Ξ£ [(x^n)(-1)^(n-1)]/n = x - (x^2)/2 + (x^3)/3 - (x^4)/4...
n=0
| 4 | [
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0.0113525390625,... | 25,842 | 25842 | |
Please check if this is right?
July 20th 2005, 07:19 AM #1
Junior Member
Joined
Jun 2005
Posts
58
Please check if this is right?
Use substitution to solve:
x=3y-2
2x+4y=16
x-3y=2
(+)2x+4y=16
----------------
3x+1y =18
3x+1y-1y+18-y
3x/3 = 18/3
x=6
6-3y=2
6... | 4 | [
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... | 25,843 | 25843 | |
Proove an isomorphism
November 18th 2010, 07:23 AM #1
Junior Member
Joined
Oct 2008
Posts
25
Proove an isomorphism
Hi there
I'm a little stuck in this one and could use a hand:
I need to show this isomorphism:
$(N_1+N_2)/N_2 \simeq N_1/(N_1 \cap N_2)$
Well, I make an exact sequence:
... | 4 | [
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Lesson 3: Volume of 3D Shapes
In this lesson, students build knowledge of volume, and complete worksheet problems related to calculating cargo space available for moving concert items.
OBJECTIVE
In βPack It Up! What Will Fit?β students will understand formulas used to measure the volume of these basic three-dimension... | 4 | [
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0.07519... | 25,845 | 25845 | |
Interpolation and Best Approximation for Spherical Radial Basis Function Networks
Abstract and Applied Analysis
VolumeΒ 2013Β (2013), Article IDΒ 206265, 5 pages
http://dx.doi.org/10.1155/2013/206265
Research Article
Interpolation and Best Approximation for Spherical Radial Basis Function Networks
Institute for Inform... | 5 | [
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0.00198... | 25,846 | 25846 | |
Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds
International Journal of Mathematics and Mathematical Sciences
VolumeΒ 2012Β (2012), Article IDΒ 361794, 17 pages
http://dx.doi.org/10.1155/2012/361794
Research Article
Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Ma... | 4 | [
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... | 25,847 | 25847 | |
Chaos and Hopf Bifurcation Analysis of the Delayed Local Lengyel-Epstein System
Discrete Dynamics in Nature and Society
VolumeΒ 2014Β (2014), Article IDΒ 139375, 7 pages
http://dx.doi.org/10.1155/2014/139375
Research Article
Chaos and Hopf Bifurcation Analysis of the Delayed Local Lengyel-Epstein System
^1Department of... | 5 | [
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... | 25,848 | 25848 | |
More Derivatives
October 22nd 2009, 05:26 AM #1
Newbie
Joined
Sep 2009
Posts
15
More Derivatives
f(x) = ln(4x^2 +5x-3) - I think you find the deriv of the outside, put the inside back..then find the deriv of the inside?
So my soln would look like: 1/x(4x^2+5x+3) * (8x+5)? is that right?
6xsecx+... | 5 | [
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0.08... | 25,849 | 25849 | |
Diagonalization
April 23rd 2010, 02:33 PM #1
Diagonalization
Let
q: Find formulas for the entries of
I found eigenvalues, 2 and 4, then found their corresponding eigenspaces.
D^n=(P^-1)(A^n)P
=
8^n
.
Which is incorrect. Can someone please help?
I apologize, the format didn't tu... | 5 | [
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My generalization to a problem , not sure it is true
May 15th 2010, 10:47 PM #1
Super Member
Joined
Jan 2009
Posts
715
My generalization to a problem , not sure it is true
I am doing the past Putnam problems and one is
Prove that $\frac{1}{n+1} \binom{2n}{n}$ is an integer .
I make a generaliza... | 5 | [
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Proof Linear Transformation / 1 - 1
December 19th 2012, 07:33 PM
Livinginpeace
Proof Linear Transformation / 1 - 1
Hi everyone, I was given a set of proofs that I must understand but the explanation I have found after much research is way to complicated for an into to linear Algebra course, it explains it for
... | 5 | [
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Models: A Self-Similar Approach
Journal of Mathematics
VolumeΒ 2013Β (2013), Article IDΒ 169020, 5 pages
http://dx.doi.org/10.1155/2013/169020
Research Article
and Models: A Self-Similar Approach
Departamento FΓsica AtΓ³mica, Molecular y Nuclear, Universidad Complutense de Madrid, 28040 Madrid, Spain
Received 15 Septe... | 5 | [
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Diophantus of Alexandria
St. Andrews University ^ | 18 Nov 03 | J J O'Connor and E F Robertson
Posted on 11/18/2003 11:42:36 AM PST by .cnI redruM
Diophantus of Alexandria
--------------------------------------------------------------------------------
Born: about 200 Died: about 284 Previous (Chronologically) Next... | 4 | [
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Milo Wolff's wave density formula in
blue below Originally taken from Geoff's http://www.spaceandmotion.com/Cosmology but I see Geoff has now changed things.
"To examine this requirement we first make a quantitative assumption, similar t... | 4 | [
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0.060791015625,
-0.060546875,
0.040771484375,
-0.0062255859375,
0.08251953125,
-0.... | 25,855 | 25855 | |
Second order homogenous DE - Tricky
November 29th 2010, 08:54 AM #1
Junior Member
Joined
Oct 2010
Posts
71
Second order homogenous DE - Tricky
I started by trying to find the auxillary equation, as this is a homogenous second order DE.
I get to this:
k^2 - 2k + 1 + E^2
What can I do from ... | 4 | [
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Quadrilateral Interpolation, Part 1
In computer graphics we build models out of triangles, and we interpolate texture coordinates (and other vertex attributes) across surfaces using a method appropriate for triangles: linear
interpolation, which allows each triangle in 3D model space to be mapped to an arbitrary triang... | 4 | [
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... | 25,857 | 25857 | |
Center Manifold Reduction and Perturbation Method in a Delayed Model with a Mound-Shaped Cobb-Douglas Production Function
Abstract and Applied Analysis
VolumeΒ 2013Β (2013), Article IDΒ 738460, 6 pages
http://dx.doi.org/10.1155/2013/738460
Research Article
Center Manifold Reduction and Perturbation Method in a Delayed M... | 5 | [
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find the volume of the solid obtained by rotating the region bounded by..........
November 10th 2012, 11:20 PM #1
Junior Member
Joined
Oct 2010
Posts
63
find the volume of the solid obtained by rotating the region bounded by..........
find the volume of the solid obtained by rotating the region bounded b... | 5 | [
0.0211181640625,
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-0.046875... | 25,859 | 25859 | |
Parallogram Area Don't Have Height Need within few hours
August 14th 2006, 01:41 PM #1
Junior Member
Parallogram Area Don't Have Height Need within few hours
can you give me the values that you have...i could not read you picture
dan
BE=CD-37cm
BF=26cm
FC=14cm
Let EH represent the perpendic... | 4 | [
0.0537109375,
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-0.01953125,
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Ξd ball / Force Applied Ball - Completely stumped.
EDIT: I had to edit this, the output came out completely wrong...
EDIT 2: edited again, sorry if this doesn't show up right... physicsforums is strange to use with tex code
EDIT 3: found the problem, i wish physics forums would explain the $ sign is not necessary to wr... | 4 | [
0.00830078125,
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question-paper-technical-2012-2013
Home
»» Placement Papers »»
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»»
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question-paper-technical-2012-2013
Mu Sigma latest free solved sample placement papers,Mu Sigma off and on campus recruitment for fresher job written test examination and Group Discussion procedure,Mu Sigma... | 4 | [
-0.0303955078125,
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0.01324462... | 25,862 | 25862 | |
Solve via elimination
May 26th 2011, 09:05 PM #1
Member
Joined
Dec 2009
Posts
122
Solve via elimination
I think I am doing this problem wrong. To solve by elimination:
0.3x-0.2y=4 and 0.4x +0.3y=-1. After changing to integers, I multiplied the 1st equation by 4 and the second by 3 ending up with 8x-1... | 4 | [
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0.064453125,
-0.08642578125,
-0.... | 25,863 | 25863 | |
Norm-Constrained Least-Squares Solutions to the Matrix Equation
Abstract and Applied Analysis
VolumeΒ 2013Β (2013), Article IDΒ 781276, 10 pages
http://dx.doi.org/10.1155/2013/781276
Research Article
Norm-Constrained Least-Squares Solutions to the Matrix Equation
Guilin University of Electronic Technology, Guilin 54100... | 5 | [
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Polynomials
What is the degree of the simplest polynomial with the zeroes:β2, 2β2 + i, and 2 + 2i ??
My guess would be 6 since the simplest polynomial that I can come up with that has all of these as roots is (xΒ² - 2)(xΒ² - 4β2 x + 9)(xΒ² - 4x + 8).
This means that $x - \sqrt{2}$, $x - (2 \sqrt{2} + \pi)$, $x - (2 + 2 ... | 4 | [
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-0.0361328125,
-0... | 25,865 | 25865 | |
roots of the equation
October 15th 2009, 02:12 PM #1
Junior Member
Joined
Oct 2009
Posts
72
I have been doing good so far with these problems but I have hit a road block and just can't seem to get pass it. The problems is as follows:
equation is 2x^2-4x+5=0 and the roots are a and b. I am suppose to f... | 4 | [
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Segment Rules in Circles: Chords, Secants, Tangents
ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β Rules for Dealing with Chords, Secants, Tangents in Circlesβ
β Topic Index | Geometry Index | Regents Exam Prep Center β
ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
If two chords... | 4 | [
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0.0283203125,
-0.0791015625,
0.1010742187... | 25,867 | 25867 | |
Math Help
August 25th 2009, 12:36 AM #1
Senior Member
Joined
Jul 2008
Posts
347
1. Show that f(x) is an even function where: $f(x) = ln(1+e^x) - x/2$
2. Evaluate lim x--> 5 [sqrt(x) - sqrt(5)]/[x-5]
3. Prove, by induction, that a^n - b^n is divisible by a-b for all positive integer values of n.... | 5 | [
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-0.0299072265625,
-0.05981445312... | 25,868 | 25868 | |
the encyclopedic entry of green, george
In
physics
and
mathematics
,
Green's theorem
gives the relationship between a
line integral
around a simple closed curve
C
and a
double integral
over the plane region
D
bounded by
C
. It is the two-dimensional special case of the more general
Stokes' theorem
, a... | 5 | [
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-0.0844... | 25,869 | 25869 | |
Linear Equation by Elimination
December 2nd 2012, 05:16 PM #1
Newbie
Joined
Nov 2012
From
Vancouver
Posts
21
Linear Equation by Elimination
Solve by elimination.
x+2/6 - 3(y+2)/2 = 1
x-2/2 + y-1/3 = 0
For the second one, this is what i did:
multiply by -3 (x-2/2 + y-1/3 = 0)
y... | 4 | [
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0.040771484375,
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-0... | 25,870 | 25870 | |
-Statistical Cluster Points in Finite Dimensional Spaces and Application to Turnpike Theorem
Abstract and Applied Analysis
VolumeΒ 2014Β (2014), Article IDΒ 354846, 7 pages
http://dx.doi.org/10.1155/2014/354846
Research Article
A-Statistical Cluster Points in Finite Dimensional Spaces and Application to Turnpike Theorem... | 5 | [
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-0.0786... | 25,871 | 25871 | |
Generating Sums to an Integer Using the Set of All Primes - Programming in Java (r/Java x-post) β’ /r/math
you are viewing a single comment's thread.
[β]pbewig4 points5 points6 points
sorry, this has been archived and can no longer be voted on
I think your sample solution is incorrect. For instance, there are two way... | 5 | [
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-0.03369140625,
-0.042724609375,
-0.0020141... | 25,872 | 25872 | |
Dissipative Sturm-Liouville Operators with Transmission Conditions
Abstract and Applied Analysis
VolumeΒ 2013Β (2013), Article IDΒ 248740, 7 pages
http://dx.doi.org/10.1155/2013/248740
Research Article
Dissipative Sturm-Liouville Operators with Transmission Conditions
^1Department of Mathematics, Mehmet Akif Ersoy Univ... | 4 | [
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0.0068359375,
0.0018844... | 25,873 | 25873 | |
the encyclopedic entry of arbitrary
On a
computer
,
arbitrary-precision arithmetic
, also called
bignum
arithmetic, is a technique whereby
computer programs
perform
calculations
on
integers
or
rational numbers
(including
floating-point
numbers) with an arbitrary number of
digits
of
precision
, typic... | 5 | [
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-0.06591796875,
0.031494140625... | 25,874 | 25874 | |
Trigonometric Proof
May 17th 2010, 04:16 PM
Sallyvinka
Trigonometric Proof
Hi there,
I need help with proving two trigonometric expressions:
1) tanA - tanB = tanB tan(A-B)
tanA - cotB
2) tan (x - y) + tany
tan (x - y) - coty
Thanks in advance!
May 17th 2010, 10:02 PM
Sallyvinka
... | 4 | [
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-0.01031494140625,
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0.049560546875,
0.123046875,
0.04248046875,
-0.0177001953125,
0.01806640... | 25,875 | 25875 | |
Learn about Distributive Property
In this track, we will learn how to use the Distributive Law or Distributive Properties when it comes to addition, multiplication, etcetera. The first questions ask us to expand the two equations
given. So the first question, first part says 5*3+5, we have to expand it. The law that we... | 4 | [
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-0.0673828125,
0.09... | 25,876 | 25876 | |
Dimension and basis
March 15th 2008, 08:13 AM #1
Newbie
Joined
Jan 2008
Posts
16
Dimension and basis
My text is not helping at all and the wikipedia explanations of the concepts: basis and dimension are way over my head.
Let V be the space of polynomials in x and y of degree <= 10. Specify a basis o... | 4 | [
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0.00970... | 25,877 | 25877 | |
Finding the roots of a complex number
August 14th 2010, 03:15 AM #1
Senior Member
Joined
Apr 2010
Posts
487
Finding the roots of a complex number
The question:
Find the roots (in Cartesian Form) of $z^2 - 3z + (3 - i) = 0$
I'm not sure where to start. I tried applying the quadratic formula, but ... | 5 | [
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-0.005126953125,
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0.045166015625,
-0.018798828125,
-0.047607421875,
-0.005767822265625,
0.0... | 25,878 | 25878 | |
A Stability Result for Stochastic Differential Equations Driven by Fractional Brownian Motions
International Journal of Stochastic Analysis
VolumeΒ 2012Β (2012), Article IDΒ 281474, 13 pages
http://dx.doi.org/10.1155/2012/281474
Research Article
A Stability Result for Stochastic Differential Equations Driven by Fraction... | 4 | [
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0.0177001953125,
-0.0274... | 25,879 | 25879 | |
verifying trigonometric identities
February 8th 2010, 01:44 AM #1
Newbie
Joined
Feb 2010
From
Rizal, Philippines
Posts
10
verifying trigonometric identities
good evening everyone.. ^^
just wanna ask for your help with this trigonometric equation...
1 - [ sin (x) - cos ^ 2 (x) ] / sin (x) = ... | 4 | [
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0.019287109375,
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0.00897216796875,
-0.0164794921875,
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0.003997802734375,
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-0.0390625,
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0.024658203125,
0.0125732421875,
-0.057373046875,
0.08740234375,
-0.037353... | 25,880 | 25880 | |
An Output-Recurrent-Neural-Network-Based Iterative Learning Control for Unknown Nonlinear Dynamic Plants
Journal of Control Science and Engineering
VolumeΒ 2012Β (2012), Article IDΒ 545731, 9 pages
http://dx.doi.org/10.1155/2012/545731
Research Article
An Output-Recurrent-Neural-Network-Based Iterative Learning Control ... | 4 | [
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0.0358... | 25,881 | 25881 | |
B-spline basis functions
The equation for k-order B-spline with n+1 control points (P[0] , P[1] , ... , P[n] ) is
P(t) = β[i=0,n] N[i,k](t) P[i] , t[k-1] <= t <= t[n+1] .
In a B-spline each control point is associated with a basis function N[i,k] which is given by the recurrence relations (see Bspline.java)
N[i,k](t) ... | 4 | [
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-0.029541015625,
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0.0673828125,
-0.046875,
0.0283203125,
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Log fraction with no calculator
April 13th 2010, 11:12 PM
desiderius1
Log fraction with no calculator
How would I solve $\log_3 {\frac94} + \log_3 4$ without using a calculator.
This is far as I got:
$\frac{\log 9/4}{\log 3} + \frac{\log 4}{\log 3}$
Thanks!
April 13th 2010, 11:15 PM
earboth
... | 4 | [
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Math Help
iIf $f:[0,1] \to [0,1]$ is an injection which satisfies $f(2x-f(x))=x$ then $f(x)=x$ for $x \in [0,1]$
Proof by contradiction: Suppose that $f(x)e x$ for some x, say $f(x) = x+\delta$ where $\deltae0.$ Then $x = f(2x-f(x)) = f(x-(f(x)-x)) = f(x-\delta)$, so that $f(x-\delta) = (x-\delta) + \delta$.
Now repe... | 5 | [
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On the Definitions of Nabla Fractional Operators
Abstract and Applied Analysis
VolumeΒ 2012Β (2012), Article IDΒ 406757, 13 pages
http://dx.doi.org/10.1155/2012/406757
Research Article
On the Definitions of Nabla Fractional Operators
^1Department of Mathematics, Γankaya University, 06530 Ankara, Turkey
^2Department of ... | 5 | [
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0.00216674804687... | 25,885 | 25885 | |
"Design a cylindrical tank with..." Volume&Surface Area help required.
May 15th 2008, 04:53 PM
Baby Bat
"Design a cylindrical tank with..." Volume&Surface Area help required.
Question: You are in charge of a tank to be used for water storage. Your boss has told you that he wants a cylindrical tank with a minimum... | 5 | [
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... | 25,886 | 25886 | |
summation question
May 24th 2007, 06:57 AM
margaritas
summation question
Hey guys I can't solve the second part of this following question, i.e. 'hence, ...' onwards.
Prove by induction that, for all positive integers n, [(end value=n) (summation notation, sigma) (starting value: r=1)] (r+1)2^r = n[2^(n+1)]... | 5 | [
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... | 25,887 | 25887 | |
Integration by parts
February 20th 2007, 10:59 AM
clockingly
Integration by parts
hi, i was wondering if i did a certain problem right.
i have to integrate the following by parts:
x * the square root of x-1
i set u = x, u' = 1, v' = (x-1)^(1/2) and v = 2/3(x-1)^(1/2)
then from there i got:
... | 5 | [
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-0.00982666015625,
-0.060546... | 25,888 | 25888 | |
the encyclopedic entry of standard-dollar
The Trade Weighted US dollar Index, also known as the broad index, is a measure of the value of the US Dollar relative to other world currencies. It is similar to the US Dollar Index in that its
numerical value is determined as a weighted average of the price of various currenc... | 4 | [
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0.03930... | 25,889 | 25889 | |
A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems
Journal of Applied Mathematics
VolumeΒ 2013Β (2013), Article IDΒ 489295, 6 pages
http://dx.doi.org/10.1155/2013/489295
Research Article
A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems
^1School of Mathematical S... | 4 | [
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-0.047363... | 25,890 | 25890 | |
Give the quadratic approx. to sqrt(25 + h)...
November 30th 2012, 01:58 PM #1
Give the quadratic approx. to sqrt(25 + h)...
Hi guys, am wondering if my reasoning is correct -
Give the quadratic approx. to sqrt(25 + h) and discuss how this approx compares to the first order approximation-
I start the pro... | 4 | [
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0.0... | 25,891 | 25891 | |
Induction Question!!!
June 15th 2007, 04:13 AM #1
Newbie
Joined
Apr 2005
Posts
21
Induction Question!!!
can anyone help with this induction problem:
nΒ³ = ΒΌ nΒ² (n+1)Β²
i'm having trouble proving true for n = k+1
i need to prove that (k+1)Β³ = ΒΌ (k+1)Β² (k+2)Β² (i hope this is right)
by ass... | 5 | [
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Riemannian Means on Special Euclidean Group and Unipotent Matrices Group
The Scientific World Journal
VolumeΒ 2013Β (2013), Article IDΒ 292787, 9 pages
http://dx.doi.org/10.1155/2013/292787
Research Article
Riemannian Means on Special Euclidean Group and Unipotent Matrices Group
^1School of Mathematics, Beijing Institu... | 5 | [
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... | 25,893 | 25893 | |
Enclosing a Rectangualr Field
October 7th 2005, 10:00 AM #1
Newbie
Joined
Oct 2005
Posts
10
Enclosing a Rectangualr Field
Beth has 3000 feet of fencing available to enclose a rectangular field.
a) Express the area A of the rectangle as a function of x, where x is the length of the rectangle.
b)... | 4 | [
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Factoring
February 15th 2010, 05:23 PM #1
Junior Member
Joined
Jan 2010
Posts
25
Factoring
(2X^2 - 7X - 15)/(2X^3 + 13X^2 + 15X)
If X is greater than 10, then why is (x-5)\(x^2 + 5x) equivalent to it?
And why can't X = -3\2?
$\frac{2x^2 - 7x - 15}{2x^3 + 13x^2 + 15x}$
$= \frac{2x^2 -... | 4 | [
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Project Euler β problem 9
June 12, 2012
By Tony
Just had supper. My stomach is full of cabbage, carrot and noodle. Iβd like toΒ solve the ninth problem to stretch my mind. This one is about Pythagorean theorem.
A Pythagorean triplet is a set of three natural numbers, aΒ < bΒ < c, for which, a^2 + b^2 = c^2. For ex... | 4 | [
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Mathematical Model of Stock Prices via a Fractional Brownian Motion Model with Adaptive Parameters
ISRN Applied Mathematics
VolumeΒ 2014Β (2014), Article IDΒ 791418, 6 pages
http://dx.doi.org/10.1155/2014/791418
Research Article
Mathematical Model of Stock Prices via a Fractional Brownian Motion Model with Adaptive Para... | 4 | [
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0.0050048828... | 25,897 | 25897 | |
Planning for Multiple Preferences versus Planning with No Preference
ISRN Artificial Intelligence
VolumeΞΒ 2012ΞΒ (2012), Article IDΞΒ 714245, 9 pages
http://dx.doi.org/10.5402/2012/714245
Research Article
Planning for Multiple Preferences versus Planning with No Preference
Department of Computer Science, Utah State Un... | 4 | [
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need help! intersecting lines
November 8th 2006, 01:20 PM #1
Newbie
Joined
Oct 2006
Posts
12
need help! intersecting lines
Find the point of intersection of each pair of lines, if one exits. Check each solution if possible
A.
x=-2y-3
4y-x=9
B.
x+5y=8
-x+2y=-1
C.
4x-2y=5
... | 4 | [
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