content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Orthogonal vectors
May 3rd 2009, 08:45 AM #1
Super Member
Joined
Nov 2008
Posts
597
Orthogonal vectors
Question:
"What two vectors of the plane have a magnitude of 5 and are orthogonal to the vector; s = 4i + 3j?"
Answer:
u = 3i - 4j and v = -3i + 4j
-------------------------------------... | 4 | [
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0.037... | 24,100 | 24100 | |
Is there a simple inductive procedure for generating labeled trees uniformly at random, without direct recourse to Prüfer sequences?
up vote 10 down vote favorite
Suppose you have a labeled tree $T$ on vertices $V=\lbrace 1,\ldots,n\rbrace$ that is drawn uniformly at random from the set of all $n^{n-2}$ such trees. I ... | 4 | [
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I can't figure out this radical equation?
October 13th 2009, 12:43 PM #1
Newbie
Joined
Oct 2009
Posts
4
I can't figure out this radical equation?
I'm taking Pre-Calc and Trigonometry, and the class is so poorly put together I don't even get a textbook. My teacher is of no help. I can't figure out how to ... | 5 | [
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... | 24,102 | 24102 | |
Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 530605, 13 pages
http://dx.doi.org/10.1155/2014/530605
Research Article
Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary
^1Depa... | 5 | [
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0.... | 24,103 | 24103 | |
Maximum Likelihood Estimator
May 8th 2010, 11:30 PM #1
Newbie
Joined
Aug 2009
Posts
16
Maximum Likelihood Estimator
Hi,
I have a solution to an MLE problem (picture attached). However, I am not sure how to get from line 1 to line 2 - with these particular questions in mind:
1) Why isnt the TT si... | 5 | [
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... | 24,104 | 24104 | |
[SOLVED] Proving the rule of sum of sets.
August 10th 2009, 12:54 PM #1
Junior Member
Joined
Feb 2009
Posts
48
[SOLVED] Proving the rule of sum of sets.
Can someone help me with this proof please.
Let n be a positive integer. If A1, A2, ... , An are pairwise disjoint finite sets then | A1 U A2 U ...... | 5 | [
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High School Math Physics SMILE Meeting
10 April 2001
Notes Prepared by Porter Johnson
Math/Physics
Earnest Garrison (Jones Academic Magnet HS)
showed some Discovery Kits on electromagnetism that he had obtained from the source... | 4 | [
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Newbie help please
July 31st 2007, 03:23 AM
emersong
Newbie help please
I have used some basic inferential statistics at work but have not really done much on probability before. (School was a long time ago!) I was wondering if someone could help me with the
following:
I have 2 normal decks of cards. I ... | 5 | [
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[SOLVED] How do I prove R is a baire space?
June 23rd 2008, 02:36 PM #1
Member
Joined
May 2008
Posts
86
[SOLVED] How do I prove R is a baire space?
Hello!
I need to use the fact that R is a baire space somewhere, but I just don't seem to be able to prove it. I'm not even sure if it's trivial or not (... | 5 | [
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Could someone check the attached document for mistakes?
May 27th 2006, 02:58 PM #1
Senior Member
Joined
Apr 2006
Posts
290
Could someone check the attached document for mistakes?
I would love someone to please have a look at the Fibonacci document attached and check the proof of the golden ratio and tell... | 5 | [
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Calculus 3 - Range and Height Problem
October 11th 2010, 08:56 PM #1
Calculus 3 - Range and Height Problem
A shot leaves a thrower's hand 6.5 feet above the ground. The angle at which it was thrown is 45 degrees and it had a velocity of 44 $\frac{ft}{s}$. Find the time it hits the ground and the
range.
T... | 4 | [
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Line of intersection of two planes
April 24th 2013, 12:07 PM
flametag3
Line of intersection of two planes
I am a little confused as to how to find the line of intersection of two planes
x + y + z -1 = 0
2x + y -z + 3 = 0
should i be using gaussian elimination for this ?but from what i am reading ab... | 4 | [
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Competitive Two-Agent Scheduling with Learning Effect and Release Times on a Single Machine
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 754826, 9 pages
http://dx.doi.org/10.1155/2013/754826
Research Article
Competitive Two-Agent Scheduling with Learning Effect and Release Times on a Single Mac... | 4 | [
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maths problem solving (counting?)
April 6th 2012, 02:09 AM
ilikepizza
maths problem solving (counting?)
there are four quality inspectors inspecting boxes.
a batch of boxes is numbered in order from 1 to 2500. each inspector is inspecting 1 part
-Every 5th box has it's sticker inspected
-every 7th bo... | 4 | [
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Homework Help
November 16th 2008, 07:41 PM #1
Junior Member
Joined
Oct 2008
Posts
57
Homework Help
1. A large map of the US uses a scale of 2cm=2.5km. On the map, the distance between two cities is 1 meter. What is the actual distance between the two cities?
2. the ratio of the measures of two comp... | 4 | [
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Help me please
I would also do it this way:
Rewriting:
[tex]e''+\frac{1}{r}e'=0[/tex]
I would then multiply through by r^2:
[tex]r^2e''+re'=0[/tex]
I would recognize this as a d.e. of the Euler-Cauchy form:
[tex]x^2y''+axy' + by=0[/tex]
In the case of the given equation, a=1 and b=0. The characteristic equation ... | 5 | [
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Power Allocation in the TV White Space under Constraint on Secondary System Self-Interference
Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 245895, 12 pages
http://dx.doi.org/10.1155/2012/245895
Research Article
Power Allocation in the TV White Space under Constraint on Secondary Syste... | 4 | [
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Given a function, find points, find limits, etc.
January 18th 2010, 08:54 AM #1
Member
Joined
Oct 2009
Posts
128
Given a function, find points, find limits, etc.
Given the function $f(x) = x^2ln(x)$, x is contained in the set (0,1)
A) Find the coordinates of any points where the graph of f has a hor... | 5 | [
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Generalized Derivations on Prime Near Rings
International Journal of Mathematics and Mathematical Sciences
Volume 2013 (2013), Article ID 170749, 5 pages
http://dx.doi.org/10.1155/2013/170749
Research Article
Generalized Derivations on Prime Near Rings
^1Department of Mathematics, Aligarh Muslim University, Aligarh ... | 5 | [
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Using first principles, find the derivative of y = tanx.
October 13th 2009, 01:16 PM #1
Member
Joined
Sep 2009
Posts
83
Using first principles, find the derivative of y = tanx.
I am rather terrible at using trigonometric proofs, which is needed in doing this question.
Question is title of this threa... | 5 | [
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Solve for k: (Two different types of problems)
March 3rd 2010, 06:11 PM
OurIslamic
Solve for k: (Two different types of problems)
Hi all, thanks for taking time out of your day to have a look at my problems. I'm studying and need some help solving these two problems.
I need to solve for k:
Here are the... | 4 | [
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Abstract Algebra
October 15th 2008, 08:59 PM #1
Junior Member
Joined
Oct 2008
From
Green Bay
Posts
30
Abstract Algebra
I have no clue how to attack these question one. All help or hints is appreciated.
G always denotes a group
1. Let G be finite and G not equal to {e}. Show that G has an el... | 5 | [
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Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 761235, 7 pages
http://dx.doi.org/10.1155/2014/761235
Research Article
Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network
^1School of Mathematics and Physics, Anhu... | 5 | [
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Prove some identities! (Round two)
January 3rd 2011, 06:41 PM
Drexel28
I'm a little busy now, but I'll think about it. The methodology is to note that $\displaystyle \sin\left(\pi\sqrt{z}\right)=\pi\sqrt{z}\prod_{n=1 }^{\infty}\left(1-\frac{z}{n^2}\right)$ and thus
$\displaystyle \log\left(\sin\left(\pi\sqrt... | 5 | [
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The Characterization of the Variational Minimizers for Spatial Restricted
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 845795, 5 pages
http://dx.doi.org/10.1155/2013/845795
Research Article
The Characterization of the Variational Minimizers for Spatial Restricted -Body Problems
Yangtze Center of Mat... | 5 | [
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A company has two models of computers, model M and model N
Author Message
TAGS:
A company has two models of computers, model M and model N [#permalink] 05 Feb 2013, 16:04
... | 4 | [
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Injective, Surjective, Bijective
March 14th 2009, 05:37 PM #1
Newbie
Joined
Mar 2009
Posts
24
Injective, Surjective, Bijective
Ok I'm up to the next step in set theory and am having trouble determining if set relations are injective, sirjective or bijective.
Say we are matching the members of a set ... | 5 | [
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lgorithm
The Traveling Salesman Problem (TSP)
Overview
The Traveling Salesman Problem (TSP) is possibly the classic discrete optimization problem.
A preview :
• How is the TSP problem defined?
• What we know about the problem: NP-Completeness.
• The construction heuristics: Nearest-Neighbor, MST, Clarke-Wrigh... | 5 | [
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Patent US7080111 - Floating point multiply accumulator
FIELD
The present invention relates generally to floating point operations, and more specifically to floating point multiply accumulators.
BACKGROUND
Fast floating point mathematical operations have become an important feature in modernm electronics. Floating po... | 4 | [
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0.... | 24,128 | 24128 | |
Lotka-Volterra Equations
September 24th 2008, 05:45 PM
Maccaman
Lotka-Volterra Equations
Hi everyone,
I have 2 lotka-volterra equations
$x' = ax(1 - x) - bxy$
$y' = cy(1 - y) - dxy$
where x and y is the population of the species normalised by the carrying capacity of the ecosystem. a,b,c,d are ... | 4 | [
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0.0247802734375,... | 24,129 | 24129 | |
Vector Space
January 3rd 2009, 02:59 PM #1
Newbie
Joined
Dec 2008
From
Philadelphia
Posts
24
Vector Space
If u have a 4x3 matrix that is linearly independent, why can't you solve for Ax = b for EVERY b ?
Define $T:\mathbb{R}^3 \to \mathbb{R}^4$ by $T(\bold{x}) = A\bold{x}$.
It is straightfor... | 5 | [
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Ball in metric space
October 15th 2011, 11:52 AM #1
Newbie
Joined
Aug 2011
Posts
19
Ball in metric space
Let $\mathbb{B}((x,y),r)$ on $\mathbb{R}^2$ be a ball in euclidean norm. We define a norm $||x||$ that ball in this norm satisfes:
$B=\{ x \in \mathbb{R}^2: ||x||<1 \} = ( (-1,1) \times (-1,1) \cu... | 4 | [
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0.0189208984375,
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-Advanced Models for Tsunami and Rogue Waves
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 414060, 26 pages
http://dx.doi.org/10.1155/2012/414060
Research Article
-Advanced Models for Tsunami and Rogue Waves
Department of Mathematics, East Carolina University, Greenville, NC 27858, USA
Received 9 Mar... | 4 | [
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... | 24,132 | 24132 | |
Solve Linear equations
Thanks AlephZero and HallsofIvy.
I guess the example is too simple.
I like to consider the general case.
Here is the way I solve it.
Want to solve C with AC=B.
Multiply A^t on both sides A^t.A.C=A^t.B
Now A^t.A^t is a square matrix so I can calculate its inverse (if it is not singular)
Then I g... | 5 | [
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Triangle help - trigonometry
November 17th 2009, 07:26 AM
refresh
Triangle help - trigonometry
A vertical pole 34 feet tall on a hillside that makes an angle of 13 degree with the horizontal. Determine the approximate length of a cable that would be needed to reach from the top of the pole
to a point 57 feet... | 4 | [
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0.03... | 24,134 | 24134 | |
probability help
October 9th 2008, 11:46 AM #1
Newbie
Joined
Oct 2008
Posts
3
probability help
the question is something like this
a group of n girls is given names. there are N different names available. The girls are allotted names at random with 2 or more allowed to have same name. show the proba... | 4 | [
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Physics Forums - How to get inverse Lorentz tranformation from direct Lorentz transformation
Quote:
Quote by Odyssey (Post 1450803)
Hello, I am having trouble on deriving the inverse Lorentz transformation from the direct Lorentz transformation. I looked at some threads here and I found in here (
http://www.physi... | 5 | [
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... | 24,136 | 24136 | |
Journal of the Brazilian Society of Mechanical Sciences
Services on Demand
Article
Indicators
Related links
Share
Print version ISSN 0100-7386
J. Braz. Soc. Mech. Sci. vol.24 no.3 Rio de Janeiro July 2002
http://dx.doi.org/10.1590/S0100-73862002000300011
Experimental validation of a 3-D vision-based measuremen... | 4 | [
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Spatiotemporal Super-Resolution Reconstruction Based on Robust Optical Flow and Zernike Moment for Video Sequences
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 745752, 14 pages
http://dx.doi.org/10.1155/2013/745752
Research Article
Spatiotemporal Super-Resolution Reconstruction Based on Robust ... | 4 | [
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Third degree ploynomial question : 2
February 28th 2009, 11:03 AM #1
Member
Joined
Nov 2008
Posts
171
Third degree ploynomial question : 2
if a,b,c are the roots of the equation: x^3 + 2x^2 + 3x + 3 = 0 then the value of
[a/(a+1)]^3 + [b/(b+1)]^3 + [c/(c+1)]^3 is?
----------
I know that thi... | 4 | [
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trignometric equations help
April 22nd 2009, 10:57 AM #1
Super Member
Joined
Sep 2008
Posts
607
trignometric equations help
(b) The diagram shows part of the curve with equation y=cos(px−q)° , where p and q are positive constants and q<180. The curve cuts the x-axis at points A, B and C, as shown.
Gi... | 4 | [
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A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equation with The Bessel Operator
Journal of Mathematics
Volume 2013 (2013), Article ID 457631, 8 pages
http://dx.doi.org/10.1155/2013/457631
Research Article
A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equat... | 5 | [
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Two Temperature Magneto-Thermoelasticity with Initial Stress: State Space Formulation
Journal of Thermodynamics
Volume 2013 (2013), Article ID 754798, 12 pages
http://dx.doi.org/10.1155/2013/754798
Research Article
Two Temperature Magneto-Thermoelasticity with Initial Stress: State Space Formulation
Department of Ma... | 5 | [
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... | 24,142 | 24142 | |
Venn Diagram
May 16th 2006, 08:52 AM
gogo08
Venn Diagram
I need help with a Venn Diagram question. Oridnarily I know you would start in the middle but that is the piece that is missing in this problem. Can you please provide a formula to work this
problem?
A recent survey of 150 people showed the follow... | 4 | [
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finding limit of trig
February 3rd 2010, 11:09 AM #1
Junior Member
Joined
Jan 2010
Posts
62
finding limit of trig
any idea on how to solve this i have no idea where to start on these type of functions
limit of (4x/tanx)
x> (pie/4)
x is approaching pie over 4
What do you think of this?
... | 4 | [
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Solve the System of equations
April 30th 2008, 03:42 PM #1
Newbie
Joined
Apr 2008
Posts
21
Solve the System of equations
Been trying to work these two problems for the last couple hours without to much success anyone able to show me how they solved them. Would really help me get this assignment completed... | 5 | [
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[Haskell-cafe] List of all powers
Brent Yorgey byorgey at gmail.com
Wed Nov 14 13:06:33 EST 2007
On Nov 14, 2007 12:32 PM, Kurt Hutchinson <kelanslists at gmail.com> wrote:
> As part of a solution I'm working on for Project Euler problem 119, I
> wanted to create an ordered list of all powers of all positive
> integ... | 4 | [
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0.... | 24,146 | 24146 | |
Mandelbrot set for second degree polynomials
Next: Contour Integrals Up: Iterated functions Previous: fixed points and their
Linear mappings and fractional linear mappings have the structure which we have already seen. The next most complicated, in terms of polynomial degree and hence in number of fixed points a... | 4 | [
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Simple problem
October 16th 2010, 02:18 PM
financial
Simple problem
I'm stuck but here's what I have so far. I'm trying to find the probability that S is bigger than T.
$T \sim N(18,4), S \sim N(20,1)$
$Pr \{S>T \} = Pr \{ \frac{S-20}{1} > \frac{T-20}{1} \}$
$=Pr\{N(0,1)>T-20\}$
$=Pr\{T-20<N(... | 5 | [
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-0.016... | 24,148 | 24148 | |
Confused by One-to-one problems...
September 3rd 2007, 06:43 PM #1
Newbie
Joined
Sep 2007
Posts
4
Confused by One-to-one problems...
The problem is...
Let f(x)= 5x^3 + kx^2 + 5x, k a constant. For what values of k is f one-to-one?
How would you work this problem to find what k is?
Thank Yo... | 4 | [
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Irreducible Polynomial
January 27th 2011, 05:49 PM
mathematic
Irreducible Polynomial
Let f(x) be an irreducible polynomial of degree n in Zp[x]. Show that the field E =
Zp[x]/<f(x)> has exactly p^n elements.
f(x) is irreducible, so it cannot be factored into a product of polynomials of lower degree.
Ja... | 4 | [
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0.002716064453... | 24,150 | 24150 | |
Finding equation of a line
September 26th 2009, 08:02 PM #1
Newbie
Joined
Sep 2009
Posts
18
i don't understand this AT ALL. oh calculus.
would it be 10x-5, while 10 is the slope...gah i have no clue X_X plz help
Find an equation of the line that is both normal to the given parabola and also par... | 5 | [
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Bernoulli Identities and Combinatoric Convolution Sums with Odd Divisor Functions
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 890973, 8 pages
http://dx.doi.org/10.1155/2014/890973
Research Article
Bernoulli Identities and Combinatoric Convolution Sums with Odd Divisor Functions
^1National Institute ... | 5 | [
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Fortran help
P: 9
MODULE space_data
REAL :: l !LENGTH OF THE BAR
REAL :: temp !TEMPERATURE IN KELVIN
REAL :: d_0 !CONSTANT DIFFUSION PARAMETER
REAL :: q !ACTIVATION ENERGY
REAL :: c_0 !INITIAL CONCENTRATION AT X=0
REAL :: r=8.31 !IDEAL GAS CONSTANT IN J/molK
REAL :: c_r !DESIRED END CONCENTRATION
INTEGER :: imax=30 !M... | 4 | [
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Patent US5250952 - Method of correcting rotational motion error in SAR and ISAR imagery
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention generally relates to SAR/ISAR imaging systems and, more particularly, is concerned with a method of correcting rotational motion error in SAR and ISAR ima... | 4 | [
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Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 519893, 9 pages
http://dx.doi.org/10.1155/2013/519893
Research Article
Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Functi... | 4 | [
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0.033447265625,
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0.04638671875,
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-0.0284423828125,
... | 24,155 | 24155 | |
Adding vectors to find displacement
September 30th 2009, 09:24 AM
drkidd22
Adding vectors to find displacement
So I got this two vectors and I have used the pytagoream theorem to. But I'm still kinda sketchy about the answer I get.
46225+7225 = 53450
sqrt 53450 = 231km
Did I do it right?
September... | 4 | [
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0.042... | 24,156 | 24156 | |
Need help for text tomorrow
August 1st 2006, 02:59 PM
c_323_h
Need help for text tomorrow
Find the surface area of the solid of revolution over the interval
1. $y=x^3, [0,2]$
Answer: $\pi(145\sqrt{145}-1)/27$
What I tried:
$\frac{dy}{dx}=3x^2$
Plug into formula for Surface Area of a solid ... | 5 | [
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Trig Substitution
September 29th 2009, 02:33 AM #1
Junior Member
Joined
Sep 2009
Posts
26
Trig Substitution
The problem is the integral of (x^3)/(((x^2)+16)^.5) dx x=4tan(theta)
I've worked it down to 4^2 times the integral of (tan^3(theta))/(sec(theta)) dtheta, but don't know what to do with it. Any... | 5 | [
-0.0137939453125,
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0.119140625,
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0.0859375,
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0.04... | 24,158 | 24158 | |
A VLSI Architecture for the V-BLAST Algorithm in Spatial-Multiplexing MIMO Systems
Journal of Engineering
Volume 2013 (2013), Article ID 534735, 7 pages
http://dx.doi.org/10.1155/2013/534735
Research Article
A VLSI Architecture for the V-BLAST Algorithm in Spatial-Multiplexing MIMO Systems
^1ITESM Campus Estado de M... | 4 | [
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0.00506591796875... | 24,159 | 24159 | |
Math Help
March 21st 2013, 05:54 AM #1
Newbie
Joined
Sep 2012
From
Singapore
Posts
13
Bijection
Determine if this is a bijection and find the inverse function.f : R − {−2} → R − {1} where f(x) = (x + 1)=(x + 2).
I have the ans sheet: It's a bijection with inverse f-1(x) = (2x − 1)=(1 − x).
... | 5 | [
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-0.01531982421875,... | 24,160 | 24160 | |
Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials
Journal of Mathematics
Volume 2013 (2013), Article ID 645752, 10 pages
http://dx.doi.org/10.1155/2013/645752
Research Article
Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials
Institut de Mathématiques de Bourgogne, UMR 5584 CNRS, Universi... | 5 | [
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Patent US20060126568 - Method and apparatus for performing chip level equalization using joint processing
CROSS REFERENCE TO RELATED APPLICATIONS
This application claims the benefit of U.S. Provisional Patent Application Nos. 60/636,345 filed Dec. 14, 2004 and 60/642,383 filed Jan. 7, 2005, which are incorporated by r... | 4 | [
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Monotone Sequence
October 13th 2007, 07:14 AM #1
Member
Joined
Nov 2006
Posts
142
Monotone Sequence
Hi. I was wondering if someone could show me how to prove this statement,
let P > 0, prove that (P^(1/n) is a monotone sequence and deduce by using a subsequence that the limit must be 1.
I unders... | 5 | [
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Picard's and Peano's Theorem
HallsofIvy
If f(x,y) is continuous but not Lipschitz on a set, then there may be many functions satisfying the differential equation and "initial condition". For example, f(x,y)= y^1/3 is continuous on any
neighborhood of (0,0) but is not Lipschitz on such a neighborhood. dy/dx= y^1/3 ca... | 5 | [
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-0.015075... | 24,164 | 24164 | |
Patent US5812608 - Method and circuit arrangement for processing received signal
TECHNICAL FIELD
The invention relates to a method and a circuit arrangement for processing a received signal in a variable symbol frequency system, such as a digital television system.
BACKGROUND OF THE INVENTION
In digital transmission... | 4 | [
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An Adaptive Variable Structure Control Scheme for Underactuated Mechanical Manipulators
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 270649, 23 pages
http://dx.doi.org/10.1155/2012/270649
Research Article
An Adaptive Variable Structure Control Scheme for Underactuated Mechanical Manipulators
^... | 4 | [
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-0.... | 24,166 | 24166 | |
The Vertex of a Parabola
The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x^2 term is positive, the vertex will be the lowest point on the graph, the point at
the bottom of the “U”-shape. If the coefficient of the x^2 term is negative, the vertex will be ... | 4 | [
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-... | 24,167 | 24167 | |
R Environments for Gibbs Sampler State
August 10, 2010
By Matt Shotwell
I recently decided to revisit some R code that implements a Gibbs sampler in an attempt to decrease the iteration time. My strategy was to implement the sampler state as an R environment rather than
a list. The rationale was that passing an envi... | 5 | [
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0.00296020... | 24,168 | 24168 | |
Partial fraction decomposition
September 10th 2007, 03:52 PM #1
hello,
i have a problem i am stuck on. i have figured it out till the very end but can not find the answer.here it is.
The Problem : Find the partial fraction decomposition.
(-x+10)/(x^2+x-12)
here is what i got from that problem.
... | 4 | [
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0.02978515625,
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0.033203125,
0.0306396484375,
... | 24,169 | 24169 | |
What is the exact value of sin 12 degrees?
November 27th 2009, 07:03 PM #1
Newbie
Joined
Sep 2009
Posts
9
What is the exact value of sin 12 degrees?
What is the exact value of sin 12 degrees?
Only hint I was given was to use compound angle formula. Had this on the test but I left it blank, now I jus... | 4 | [
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0.02978515625,
-0.0051... | 24,170 | 24170 | |
Eigenvalue, Eigenvector and Eigenspace
HallsofIvy
"We assume eigenvector of zero are non-eigenvector"? I don't know what this means. Do you mean that you are assuming that 0 is not an eigenvector or are you asserting that an "eigenvector" must not
be the 0 vector?
No. First, it is a set of vectors, not a single ve... | 4 | [
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-0... | 24,171 | 24171 | |
trigonometric equations
April 19th 2009, 08:35 AM #1
Super Member
Joined
Sep 2008
Posts
607
trigonometric equations
The diagram shows part of the curve with equation y=f(x) , where f(x)=1+2sin(px°+q°) , p and q being positive constants and q ≤ 90. The curve cuts the y-axis at the point A and the x-axis a... | 4 | [
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-0.03515625,
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Rule N and Weighted Regression
Today’s post, which has a forbidding title, contains an interesting mathematical and statistical point which illuminates the controversy over how many PCs to retain. In my re-visiting the totally
unknown corner of Mannian methodology – regression weights and their determination – I re-par... | 4 | [
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0.0092163085937... | 24,173 | 24173 | |
differential trig problem
April 30th 2009, 11:27 PM
slaypullingcat
differential trig problem
Show that d/dx (1/5 sin^5 x - 1/7 sin^7 x) = sin^4 x cos^3 x
Also, I typed out this question in word using equation editor and tried to paste it in without luck (just thought it would be easier for helpers?). I'm... | 5 | [
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0.0019378662109375,
0.02270... | 24,174 | 24174 | |
basic probabilty
February 15th 2010, 07:17 AM #1
Newbie
Joined
Feb 2010
Posts
9
basic probabilty
Ninth grade homework giving me trouble again, here is the problem,
Your school cafeteria offers 3 entrees for lunch each day. The three entrees are randomly selected from a list of 20. Your favorite is g... | 4 | [
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A QoS-Satisfied Prediction Model for Cloud-Service Composition Based on a Hidden Markov Model
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 387083, 7 pages
http://dx.doi.org/10.1155/2013/387083
Research Article
A QoS-Satisfied Prediction Model for Cloud-Service Composition Based on a Hidden Mark... | 4 | [
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Forward-Backward Splitting Methods for Accretive Operators in Banach Spaces
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 109236, 25 pages
http://dx.doi.org/10.1155/2012/109236
Research Article
Forward-Backward Splitting Methods for Accretive Operators in Banach Spaces
^1Departamento de Análisis Matem... | 5 | [
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Physics Forums - Cayley's theorem
alexandrabel Sep1-09 08:20 AM
Cayley's theorem
Hello!
Can someone explain to me how Isomorphism is linked to cayley's theorem?
Using cayley's theorem, it is stated that ' every group is isomorphic to a group of permutations'
Proof:
Step 1: Let G be a given group and set G' o... | 4 | [
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0.0205078125... | 24,178 | 24178 | |
Correlation and Regression Analysis
Perform ordinal logistic regression.
Suppose y takes values in k ordered categories, and let gamma_i (x) be the cumulative probability that y falls in one of the first i categories given the covariate x. Then
[theta, beta] = logistic_regression (y, x)
fits the mod... | 4 | [
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0.0029754638... | 24,179 | 24179 | |
Mixed differentiation?
June 9th 2011, 12:33 PM
TeaWithoutMussolini
Mixed differentiation?
$y^2 = cosh(xy) + log(x^2 + y^2).$
Find $\frac{dy}{dx}.$
This one has got me well knobbed. I don't even know where to start. Maybe root the whole thing? Can someone give me a pointer please?
June 9th 2011, 01:41 ... | 5 | [
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... | 24,180 | 24180 | |
What is the usage of Kelvin function?
Well, let's see. A Bessel function of the first kind is defined as:
[tex]J_v(x)=\sum\frac{(-1)^m}{m!Γ(m+v+1)}(\frac{x}{2})^{2m+v}[/tex]
The Kelvin functions would be the real and imaginary parts of the vth order of [itex]J(xe^{3πi/4})[/itex], therefore:
[tex]J_v(x)=\sum_{m=0}^{m... | 4 | [
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0.04028320... | 24,181 | 24181 | |
GMAT Geometry
• GMAT Prep (USA)
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• Favorite GMAT Articles
□ 800score GMAT Course Reviews
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... | 4 | [
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0.0137939453125,
0.02124023... | 24,182 | 24182 | |
Convex set proof
August 30th 2010, 06:11 PM #1
Convex set proof
Hello,
I'm trying to write a proof which is, in my point of view, easy to figure geometrically but not so easy to write it. I hope you can help me.
Let $E$ be a vector space and $u,v \in E$. The line segment that starts from $u$ and ends in... | 4 | [
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at
Z-Scores & T-Scores
1. Overview The purpose of the statistical techniques discussed in this chapter and lecture is to convert (transform) individual scores into a standard form which provide a more meaningful
... | 4 | [
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Mechanics problem
December 19th 2010, 08:54 AM
FGT12
Mechanics problem
A 2kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.15m, to a hanging book with mass 3kg. The system is released from
rest, and the books are observed to move 1.... | 4 | [
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use trig substitution
show that integral 1/x^2squareroot(x^2-a^2) = ((squareroot(x^2-a^2))/a^2x)+C using a trigonometric substitution
I remember that $sin^2(\theta)+ cos^2(\theta)= 1$ so that, dividing by $cos^2(\theta)$, $tan^2(\theta)- 1= sec^2(\theta)$ and then $a^2tan^2(\theta)- a^2= a^2sec^(\theta)$. That suggest... | 4 | [
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Find the equation of the tangent line to y=1/2x^2 - 3 that has a slope of 4.?
October 18th 2007, 09:28 PM #1
Newbie
Joined
Sep 2007
Posts
18
So the two equations are
1) Y = x^2 + 1
2) Y = mx – 4
Equate both the equations
x^2+1 = mx -4
x^2 +5 + mx = 0
My teacher told me that from he... | 4 | [
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A basic number theory question,I seriously need it solved asap.
November 11th 2012, 05:11 AM #1
Newbie
Joined
Nov 2012
From
India
Posts
1
A basic number theory question,I seriously need it solved asap.
Find all pairs of positive integers (a,b) such that a and b each have two digits and that 100a+b an... | 4 | [
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-0.... | 24,188 | 24188 | |
find convergent set of the power series
find the convergent set of the power series. heres the equation for problem2: http://img297.imageshack.us/img297/6606/untitledoy2.jpg
Use the ratio test, $\frac{n+2}{n+1}\to 1$ Thus, the radius of convergence is the reciprocal of that, namely, 1. Thus, $|x|<1$ Is absolute conver... | 5 | [
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Nature of a point
March 3rd 2010, 02:57 AM #1
Super Member
Joined
Dec 2009
Posts
755
Nature of a point
Given that $\frac{dy}{dx}=6(x-1)(x-2)$ and the coordinates of the stationery points are $(1,1)$ and $(2,0)$, determine the nature of these stationery points.
The answer is either minimum point, max... | 4 | [
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the encyclopedic entry of Cavendish experiment
The Cavendish experiment, done in 1797 – 1798 by Henry Cavendish, was the first experiment to measure the force of gravity between masses in the laboratory, and the first to yield accurate values for
the gravitational constant and the mass of the Earth. However, these were... | 5 | [
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Find x and y for (y/2)-x=2 and 6x-(3y/2)=3 using gaussian elimination
$\frac{y}{2} - x = 2$ $6x - \frac{3y}{2} = 3$. $3R_1 \to R_1$ $-3x + \frac{3y}{2} = 6$ $6x - \frac{3y}{2} = 3$ $R_2 + R_1 \to R_2$ $-3x + \frac{3y}{2} = 6$ $3x = 9$. Solve for $x$: $x = 3$. Back
substitute and solve for $y$: $-3(3) + \frac{3y}{2} = ... | 4 | [
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On Generalized Hyers-Ulam Stability of Admissible Functions
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 749084, 10 pages
http://dx.doi.org/10.1155/2012/749084
Research Article
On Generalized Hyers-Ulam Stability of Admissible Functions
Institute of Mathematical Sciences, University of Malaya, 50603 ... | 5 | [
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Magnetic force on a wire
1. The problem statement, all variables and given/known data
A packed bundle of 100 long, straight, insulated wires forms a cylinder of radius R = 0.500 cm.
(a) If each wire carries 2.00 A, what are the magnitude and direction of the magnetic force per unit length acting on a wire located 0.200... | 5 | [
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Bases to the Power of Logs
Daniel Y.
One last question about logarithms:
How does one find the logarithm of logb_X when X is not b^n?
For example, log2_8 = 3 obviously, because 2^3 = 8. But what about log2_7 = ? How would you solve that? 7 is not a 'power' of the base 2 like 8 is. I suppose I could guess it's .98 ... | 5 | [
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Learn about Junior Chemistry: Solutions 4
Male Speaker: In the previous section, a lot of the things that we talked about were qualitative ways of describing a solution. But how about the quantitative ways? Well, here comes the math again.
So, we need to able to describe how concentrated or dilute a solution is with nu... | 4 | [
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Relation From Set A to B
October 30th 2012, 02:52 PM #1
Member
Joined
May 2011
Posts
178
Thanks
6
Relation From Set A to B
$A = \{0, 1, 2, 3, 4\}\and\B = \{0, 1, 2, 3\},a\epsilon A \and\ b \epsilon B$
I need to find the Relation such that $R = \{(a, b)|\gcd(a, b)=1\}$
I included (0, 0) as o... | 4 | [
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Patent US4488811 - Base-line correction means for spectrophotometer system
BACKGROUND OF THE INVENTION
The present invention relates to a spectrophotometer system and, more particularly, a base-line correction means for a spectrophotometer system controlled by a computer.
In a spectrophotometer system for measuring o... | 4 | [
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Experimental Characterization of Ionic Polymer Metal Composite as a Novel Fractional Order Element
Advances in Mathematical Physics
Volume 2013 (2013), Article ID 953695, 10 pages
http://dx.doi.org/10.1155/2013/953695
Research Article
Experimental Characterization of Ionic Polymer Metal Composite as a Novel Fractiona... | 4 | [
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