content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Eulcidean Algorithim for GCD
May 2nd 2013, 12:00 PM #1
Newbie
Joined
Apr 2013
From
USA Long Beach
Posts
2
Eulcidean Algorithim for GCD
Find the GCD for 198 and 765
I got as far as $765= 3 \times 198 +171$
I'm not sure what to do for the next step.
Last edited by kamui; May 2nd 2013 at 1... | 4 | [
-0.02001953125,
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0.045654296875,
0.0218505859375,
-0.035400390625,
0.00946044921875,
0.08642578125,
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0.0218505859375,
-0.04150390625,
0.0245361328125,
-0.006011962890625,
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0.... | 21,100 | 21100 | |
find missing angle?
January 24th 2011, 08:22 AM
andyboy179
find missing angle?
hi,
i need to try and find the missing angle from this shape;
Attachment 20577
would this be correct, sin?= 6xsin96/10= 0.6, inverse sin(0.6)= 36.87
answer= 36.87????
thanks
January 24th 2011, 08:33 AM
e^(i*pi)... | 4 | [
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-0.0922851... | 21,101 | 21101 | |
Patente US6175648 - Process for producing cartographic data by stereo vision
BACKGROUND OF THE INVENTION
The present invention relates to processes for producing cartographic data in three dimensions from n two-dimensional images of a scene, provided by n sensors having different points of view of the
scene.
It has f... | 4 | [
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0.07... | 21,102 | 21102 | |
partial differential equation
November 10th 2012, 09:02 AM
MAX09
partial differential equation
Let u = u(x,y) be the complete integral of the PDE
$\frac {\partial u} {\partial x} . \frac {\partial u} {\partial y} = xy$ passing through the points
(0,0,1) and (0,1,1/2) in the x-y-u space.
Compute the... | 4 | [
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-0.... | 21,103 | 21103 | |
Identity, Indiscernibility and Individuation Criteria
This post is stimulated by some discussions with my research student Johannes Korbmacher about identity criteria (e.g., Horsten 2010, "
Impredicative Identity Criteria
"). I am interested here in how such identity criteria might be connected with other work on ind... | 4 | [
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Newtons method?
August 3rd 2011, 09:27 AM
homeylova223
Newtons method?
Find the zeroes of the function using Newtons method.
f(x)=(1/4)x^3-3x^2+(3/4)x-2
I find that when x=11.803 y=0
Then I do Newtons method ((xn))-((f(x)n))/((f'(x)n))
((x))-((1/4x^3-3x^2+3/4x-2))/((3/4x^2-6x+3/4))
I fin... | 5 | [
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0.004974365234375,
... | 21,105 | 21105 | |
Can someone explain this to me?
September 12th 2009, 07:24 PM
xpack
Can someone explain this to me?
Find the values of x such that the given vectors are orthogonal. (Enter your answers from smallest to largest.)
xi + 3xj
xi - 5j
x = _______ (smaller value)
x = _______ (larger value)
The ans... | 4 | [
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problem with sinus :)
January 12th 2009, 02:03 PM
asi123
problem with sinus :)
Hey guys.
cos(n*x) when n is natural and x=pi equals to (-1)^n as I wrote in the pic.
What I'm looking for is the same thing in sinus, lets say again that n is natural, is there a x that can make sinus to behave something like... | 4 | [
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Brevet US7218906 - Layered space time processing in a multiple antenna system
This invention was made with United States government support awarded by the following agencies: NSF CCR-9875805, NSF ECS-9979408, and DARPA F30602-00-2-0555. The United States has certain rights in
this invention.
BACKGROUND OF THE INVENTIO... | 4 | [
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homeomorphism proof
March 5th 2011, 11:33 AM #1
Junior Member
Joined
Nov 2009
Posts
64
homeomorphism proof
I have:
$X= \{ (x,y) \in \Re^2 : 0 < x^2+y^2<1 \}$
$Y= \{ (x,y) \in \Re^2 : 1 < x^2+y^2<2 \}$
both have their usual topologies as subsbaces of $\Re^2$
I want to show that $X \equ... | 5 | [
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Patent US5724129 - Method for determining vehicle wheel alignments
BACKGROUND OF THE INVENTION
The invention relates to a method for determining vehicle wheel alignments.
The prior art comprises devices for determining vehicle wheel alignments which utilize optical systems. Some of these known devices operate with an... | 4 | [
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An ant is at point A(6,0). Ant starts tarvelling toward the
Author Message
TAGS:
An ant is at point A(6,0). Ant starts tarvelling toward the [#permalink] 16 Oct 2003, 07:32
... | 4 | [
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M16#18
Author Message
00:00
B
C
D
E
... | 4 | [
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Compute the line integral
April 25th 2009, 10:30 AM #1
Super Member
Joined
Jun 2008
Posts
829
Compute the line integral
Calculate line integral $\int_c xydx + x^2y^3dy$, where c is triangle with vertices at points (0,0), (1,0) and (1,2).
How can I find r(t) ?
you have to state what direction yo... | 5 | [
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A Topologically Charged Rotating Black Hole in the Brane
Advances in High Energy Physics
Volume 2013 (2013), Article ID 727294, 6 pages
http://dx.doi.org/10.1155/2013/727294
Research Article
A Topologically Charged Rotating Black Hole in the Brane
^1National Astronomical Observatory, National University of Colombia,... | 4 | [
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quick integral conversion question
December 15th 2007, 05:26 PM #1
Junior Member
Joined
Sep 2007
Posts
39
quick integral conversion question
Im looking at the solution to one of my teachers answers and just wondering how he got this:
(X^4) / ({X^2}+1)dx is the same statement as X^2-1+[1/({X^2}+1)]dx... | 5 | [
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-0.10156... | 21,115 | 21115 | |
Method for converting integral:cylindrical coord to rectangular coord
September 19th 2010, 04:29 PM #1
Method for converting integral:cylindrical coord to rectangular coord
I want to convert integrals $\int_0^{\frac{\pi}{2}} \int_1^{\sqrt{3}} \int_1^{\sqrt{4 - r^2}}\,\, r^3(\sin(\theta) \cos(\theta))z^2\,\, dz\,\... | 5 | [
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0.047851562... | 21,116 | 21116 | |
Solving for X
August 24th 2009, 01:51 PM #1
Newbie
Joined
Aug 2009
Posts
4
Solving for X
Alright so here is my problem, first day of college started I am in Calculus and have never took a trigonometry class in my life. Because Calculus involves some trigonometry the teacher assigned
us a trig review ... | 4 | [
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0.017333984375,
-0... | 21,117 | 21117 | |
Needs some help!!
January 27th 2010, 12:11 PM #1
Newbie
Joined
Jan 2010
Posts
1
Needs some help!!
Hi, could someone help me with this question?
A car reduces its velocity to standstill over a displacement of 500m with a retardation of 10 m/s². Calculate it's initial velocity
Im a bit stumped!... | 5 | [
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Brevet US5822457 - Pre-coding method and apparatus for multiple source or time-shifted single source data and corresponding inverse post-decoding method and apparatus
ORIGIN OF THE INVENTION
The invention described herein was made by an employee of the United States Government, and may be manufactured and used by or f... | 4 | [
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0.0184326171875,
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0.04833984375... | 21,119 | 21119 | |
Representations, states and tensors
Ok, [itex][2][/itex] is the smallest dimensional (defining) representation space, i.e., a 2-dimensional linear vector space [itex]V^{ (2) }[/itex]. The elements of such space are 2-component vectors
[itex]v_{ i }[/itex]. The [itex]2 \times 2[/itex] matrices of [itex]SU(2)[/itex] act... | 4 | [
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0.05859375,
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0... | 21,120 | 21120 | |
An upper bound for the order of an element of the Rubik's cube group
The maximum order of an element of the Rubik's cube group R [S:is 462:S] might be 462, or might be 1260, or might be something else.
Why? The Rubik's cube group is a subgroup of S[8] × S[12] × Z[3]^8 × Z[2]^12; the four factors here arise from possib... | 5 | [
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0.02661132812... | 21,121 | 21121 | |
Distribution Functions
August 10th 2010, 07:17 AM #1
Junior Member
Joined
May 2010
Posts
27
Distribution Functions
Let X and Y be independent and identicall distributed random variables. Denote their common probability distribution function by F and denote their common density function by f. If
V = ... | 4 | [
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Integral calculus: plane areas in rectangular coordinates
1. The problem statement, all variables and given/known data
Find the area between y= 1/(x^2+1) and the x-axis, from x=0 to x=1
3. The attempt at a solution
so when x=0, y=1
and when x=1, y=1/2
next i plot the points, so the intersection of the given equati... | 5 | [
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Derivative of this function?
I got: 1/2t^(-1/2)(x+14) + SQRT of x. why is this wrong?
I don't know why your derivative has a $t$ in it. $y = x^{\frac{1}{2}}(x+14)$. $\frac{dy}{dx} = x^{\frac{1}{2}}\,\frac{d}{dx}(x + 14) + (x + 14)\,\frac{d}{dx}(x^{\frac{1}{2}})$ $= x^{\frac{1}{2}} + \
frac{1}{2}(x + 14)x^{-\frac{1}{2}... | 5 | [
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... | 21,124 | 21124 | |
Extending Topological Abelian Groups by the Unit Circle
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 590159, 9 pages
http://dx.doi.org/10.1155/2013/590159
Research Article
Extending Topological Abelian Groups by the Unit Circle
^1Departamento de Física y Matemática Aplicada, University of Navarra, 31... | 4 | [
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0.001296... | 21,125 | 21125 | |
Excel functions for personal financial decisions: the PV, FV, PMT, PPMT, and IPMT functions
Applies to
Microsoft Office Excel 2003
This article was adapted from Microsoft Excel Data Analysis and Business Modeling by Wayne L. Winston. Visit Microsoft Learning to learn more about this book.
This classroom-st... | 5 | [
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Trigonometric Equation involving Tangent and Arctangent
June 13th 2011, 12:17 PM #1
Junior Member
Joined
Jul 2008
Posts
74
Trigonometric Equation involving Tangent and Arctangent
Dear all,
For the following equation which I have to solve for $t$, I am getting an expression that differs from the give... | 5 | [
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0.09716796875,
-0.0223388671875,
-0.07177734375,
0.049560546875,
-0.0234375,
0.052001953125,
-0.03125,
-0.06298828125,
... | 21,127 | 21127 | |
Discriminant
April 4th 2008, 06:52 PM #1
Junior Member
Joined
Mar 2008
Posts
30
Discriminant
Does the discriminant with a value of 49 indicate that the quadratic equation has (a) 2 real solutions or (b) 2 rational solutions, and why? Also, what's the difference?
cheers
If the discriminant
is 4... | 4 | [
-0.06982421875,
-0.032958984375,
-0.0037994384765625,
0.014404296875,
-0.02099609375,
0.1201171875,
0.0341796875,
0.037841796875,
0.0164794921875,
-0.01611328125,
0.0810546875,
-0.0673828125,
0.0157470703125,
0.109375,
-0.0150146484375,
-0.00958251953125,
-0.020751953125,
-0.087890... | 21,128 | 21128 | |
e question
April 25th 2006, 10:52 PM
cinder
e question
How are $\lim_{x \to \infty}(1+\frac{1}{x})^x$ and $1 + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} ...$ similar or related to each other, other than their results being $e$?
April 26th 2006, 11:30 AM
Jameson
It should be $\lim_{x\righta... | 4 | [
-0.007415771484375,
-0.08837890625,
-0.0255126953125,
0.052001953125,
0.038330078125,
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0.00592041015625,
-0.0390625,
0.062255859375,
-0.0390625,
-0.03955078125,
0.04638671875,
0.01104736328125,
-0.015380859375,
0.000408172607421875,
-0.0201416015625,
-0.0... | 21,129 | 21129 | |
Setting an Optimal α That Minimizes Errors in Null Hypothesis Significance Tests
Abstract
Null hypothesis significance testing has been under attack in recent years, partly owing to the arbitrary nature of setting α (the decision-making threshold and probability of Type I error) at a
constant value, usually 0.05. If t... | 5 | [
0.043701171875,
0.059814453125,
0.04248046875,
0.029541015625,
0.01904296875,
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0.00775146484375,
0.1513671875,
0.0220947265625,
0.10205078125,
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0.00592041015625,
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-0.0390625,
0.0201416015625,
0.03295... | 21,130 | 21130 | |
slight discrepancy between my answer and textbook...
August 28th 2007, 11:22 AM #1
Junior Member
Joined
Jul 2007
Posts
43
slight discrepancy between my answer and textbook...
OK, problem has sample n = 37, $\sum x = 277.875$, $\sum x^2 = 2093.109375$. Estimate with 99% confidence the mean.
I get $\m... | 5 | [
0.014892578125,
-0.0086669921875,
0.06640625,
0.10986328125,
-0.054931640625,
-0.048095703125,
-0.00592041015625,
0.1513671875,
0.0152587890625,
0.01129150390625,
0.0155029296875,
-0.0162353515625,
0.0615234375,
-0.10595703125,
-0.029296875,
-0.0216064453125,
0.07763671875,
-0.0742... | 21,131 | 21131 | |
Patent US7622308 - Process control using process data and yield data
FIELD OF THE INVENTION
The invention generally relates to methods for monitoring a manufacturing process. More particularly, the invention relates to using metrology data and process data to monitor a manufacturing
process.
BACKGROUND OF THE INVENTI... | 4 | [
-0.09619140625,
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0.040771484375,
0.0634765625,
-0.055908203125,
0.0419921875,
0.005615234375,
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-0.046630859375,
-0.11328125,
-0.01953125,
0.046142578125,
-0.04882812... | 21,132 | 21132 | |
Existence and Uniqueness Theorem for Linear Equations
September 30th 2011, 11:41 AM
alexmahone
Existence and Uniqueness Theorem for Linear Equations
Prove that an nth-order homogenous linear differential equation satisfying the hypotheses of the Existence and Uniqueness Theorem for Linear Equations has n linearl... | 4 | [
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0.05712890625,
-0.05810546875,
... | 21,133 | 21133 | |
An Integral
June 2nd 2008, 04:55 PM #1
Newbie
Joined
Feb 2008
Posts
11
An Integral
It's been a while since I did integrals, and i'm having trouble with this problem.
∫√( (2t)^2 + (t^-2) + (4) ) And the integral goes from 1 to e
Is there an easier way I can simplify the stuff under the square ro... | 5 | [
0.05419921875,
0.038330078125,
0.09814453125,
0.035400390625,
0.002899169921875,
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0.06689453125,
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0.0032501220703125,
0... | 21,134 | 21134 | |
prove by contradiction and contraposition, (a | b and ~( a | c) ) --> ~( a | b+c)
March 12th 2012, 07:58 PM
StudentMCCS
prove by contradiction and contraposition, (a | b and ~( a | c) ) --> ~( a | b+c)
For some reason I'm stuck on this.
For proof by contraposition:
For all integers a,b,c a | b+c --> ... | 4 | [
-0.11083984375,
0.0849609375,
0.04296875,
-0.047607421875,
-0.0380859375,
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0.048828125,
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0.09814453125,... | 21,135 | 21135 | |
Summary: Chapter 3
Continuous and Algebraic
Domains
(Notes for CS 819 --- April 17, 2000 --- c
fl2000 John C. Reynolds)
3.1 Topology
Let P be any dcpo. Then U ` P is said to be open iff
1. U is upward closed, i.e., if x 2 U and x v y, then y 2 U ;
2. For all directed D ` P , if F
D 2 U , then there is an x 2 D such tha... | 4 | [
0.04150390625,
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0.0123291015625,
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-0.041015625,
0.0238037109375,
0.0208740234375,
0.016845703125,
-0.07226... | 21,136 | 21136 | |
Integration using... Inverse trig sub? or Solving the square?
February 10th 2010, 09:14 PM #1
Junior Member
Joined
Jan 2010
Posts
72
Integration using... Inverse trig sub? or Solving the square?
$<br /> \int \sqrt{4 x-x^2} dx<br />$
Okay so I've ran into another bit of a snag...
I know I can solv... | 4 | [
0.07666015625,
-0.03369140625,
0.035400390625,
0.0206298828125,
-0.08056640625,
-0.12353515625,
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0.056640625,
0.050537109375,
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0.00634765625,
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0.023193359375,
0.007080078125,
0.048828125,
0.1142578125,
0.050537109375... | 21,137 | 21137 | |
Patent US7613608 - Method and circuit for noise estimation, related filter, terminal and communication network using same, and computer program product therefor
CROSS REFERENCE TO RELATED APPLICATION
This application is a national phase application based on PCT/EP2003/012629, Filed Nov. 12, 2003, the content of which ... | 4 | [
-0.107421875,
0.03173828125,
0.00830078125,
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0.048828125,
-0.0247802734375,
-0.0026092529296875,
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0.03662109375,
-0.09423828125,
-0.11962890625,
0.029541015625,
0.0169677734375,
0... | 21,138 | 21138 | |
Absolute extrema
March 29th 2011, 03:32 PM
rowdy3
Absolute extrema
Find the absolute extrema if they exist as well as all values of x where they occur, for each function and specified domain.
F(x)= (1-x) / (3+x) ; [0,3]
I did the quotient rule. u= 1-x and u'= 1 and v= 3+x and v'= 1
F'(x)= (3+x)(1) - ... | 4 | [
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0.04931640625,
0.00653076171875,
-0.0093994140625,
-0.006103515625,
0.00177001953125,
-... | 21,139 | 21139 | |
mgf of a sum of a poisson number of iid rvs
December 4th 2011, 12:27 PM #1
Junior Member
Joined
Apr 2010
Posts
51
mgf of a sum of a poisson number of iid rvs
Suppose that $X_1,X_2,...$ are i.i.d. random variables, each of which has m.g.f. $\psi(t)$. Let $Y=X_1 + ... + X_N$, where the number of terms $N$ ... | 4 | [
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-0.01611328125,
0.0152587890625,
0.0615234375,
0.0198974609375,
... | 21,140 | 21140 | |
Calculate the bias of the estimator
March 28th 2011, 12:25 PM #1
Newbie
Joined
Jan 2011
Posts
9
Calculate the bias of the estimator
Suppose that Y_1,...,Y_n is a random sample where the density of each random variable Y_i is f(y) = 2*x^2*y^(-3), y >= x for some parameter x > 1. Let x^hat := min{Y_1,...,Y... | 4 | [
-0.07421875,
-0.02978515625,
-0.0196533203125,
-0.00170135498046875,
0.1015625,
-0.002532958984375,
0.01422119140625,
0.005706787109375,
-0.0096435546875,
0.036865234375,
-0.013427734375,
0.00384521484375,
0.050048828125,
-0.1064453125,
-0.0289306640625,
0.0296630859375,
0.0063171386... | 21,141 | 21141 | |
Phenomenology of Neutrino Mixing in Vacuum and Matter
ISRN High Energy Physics
Volume 2013 (2013), Article ID 206516, 15 pages
http://dx.doi.org/10.1155/2013/206516
Review Article
Phenomenology of Neutrino Mixing in Vacuum and Matter
School of Physics and Material Science, Thapar University, Patiala, Punjab 147004, ... | 4 | [
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0.05615234375,
0.0247802734375,
0.146484375,
0.01068115234375,
-0... | 21,142 | 21142 | |
Integral help
Integral of e^x*cos(2x) Would I use the u,du,dv,v method? And set dv = e^x, and U=Cos(2x) ?
Yes you have to use integration by parts, this is one of the tricky ones though. You have to use parts twice, then realize something you've seen before. Heres the hint, your integral after using
parts twice will l... | 5 | [
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0.03125,
0.07373046875,
-0.07275390625,
0.0028533935546875,
0.0... | 21,143 | 21143 | |
Is this an application of the divergence theorem ?
October 4th 2011, 05:55 AM #1
Senior Member
Joined
Feb 2008
Posts
410
Is this an application of the divergence theorem ?
Let $R,S:u(D)\to\mathbb{R}$ be differentiable for some $u : D\subseteq\mathbb{R}^2\to\mathbb{R}$ (note that $u$ is not necessarily co... | 5 | [
-0.06640625,
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-0.0380859375,
-0.0383300781... | 21,144 | 21144 | |
Proving that a set is non-empty and bounded above.
A isn’t empty because: -1.5 is in the set.
Consider 1^2 + 3*1 + 2 = 6, so clearly 1 isn’t in A. Polynomials are continuous functions so 1 then either has to be an upper or lower bound. Since -1.5 is in the set 1 must be an upper bound.
Let f(x) = x^2 + 3x + 2, Let b... | 5 | [
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0.036376953125,
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0.0107421875,
-0.09619140625,
0.0... | 21,145 | 21145 | |
De Moivre's formula and Binomial theorem
December 22nd 2009, 04:15 AM
sf1903
De Moivre's formula and Binomial theorem
Use de Moivre's formula and the Binomial theorem to derive a formula that expresses cos5x as a polynomial in cosx, or more precisely determine the constants ABC.
This is what I have done.. i... | 5 | [
-0.0830078125,
0.0576171875,
0.0498046875,
0.0693359375,
0.005126953125,
0.0703125,
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0.0024871826171875,
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0.09619140625,
0.0064697265625,
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0.00653076171875,
... | 21,146 | 21146 | |
Dynamic Fuzzy Logic-Ant Colony System-Based
Applied Computational Intelligence and Soft Computing
Volume 2010 (2010), Article ID 428270, 13 pages
http://dx.doi.org/10.1155/2010/428270
Research Article
Dynamic Fuzzy Logic-Ant Colony System-Based Route Selection System
^1Department of Electrical Engineering, Shahid B... | 4 | [
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0.0308837890625,
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0.1015625,
0.015625,
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0.018188... | 21,147 | 21147 | |
Gene Expression: Correlation and Aggregation
Front page
Saturday, April 28, 2007
There are many pitfalls in the interpretation of correlation coefficients. One relatively familiar one is the problem of
restriction of range
. To use a common illustrative example, if we take a sample of professional basketball play... | 4 | [
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... | 21,148 | 21148 | |
Bicycle Sprockets and Angular Velocity
The Full Question (the hint was included so I though I'd put it here too):
An expert cyclist can attain a speed of 40mi/hr if the sprocket assembly has r[1]=5in, r[2]=2in, and the wheel is 28in in diameter.
Approximately how many revolutions per minute of the front sprocket wheel... | 4 | [
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0.051025390625,
-0.0693359375,
0.061767578125,
-0.018... | 21,149 | 21149 | |
Rolling Wheel - Parametric Paths
March 23rd 2009, 11:19 PM #1
Junior Member
Joined
Dec 2008
Posts
70
Rolling Wheel - Parametric Paths
Need help with this probelm not with the maths involved but the theory,
Wheel radius R rolls to the right along straight line with speed v, the path of a point on the... | 5 | [
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0.0196533203125,
0.05322265625,
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0.06640625,
0.00102... | 21,150 | 21150 | |
Patent US4727503 - For matrix triangularization of an input stream of data elements
BACKGROUND OF THE INVENTION
This invention relates to a systolic array, and more particularly to a systolic array for solving least squares problems.
Systolic arrays are known, the concept being set out by Kung and Leiserson in "Systo... | 4 | [
-0.047119140625,
0.046142578125,
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0.008... | 21,151 | 21151 | |
4-sided polygon largest area inscribed in a circle
September 5th 2010, 07:29 PM #1
Junior Member
Joined
Sep 2010
Posts
47
4-sided polygon largest area inscribed in a circle
Hello all, can someone please provide me some help with an optimal design question. Any sort of help would be awesome.
Q1) Show... | 5 | [
0.07666015625,
0.12890625,
0.005767822265625,
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0.0087890625,
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0.07861328125,
0.046142578125,
0.044189453125,
0.10546875,
0.011413574218... | 21,152 | 21152 | |
Converging-Diverging Nozzle
Assuming you are using a thermally and calorically perfect gas, then the maximum velocity that can be achieved from a given reservoir condition depends entirely on the total temperature in that
reservoir. You can start with the energy equation and the definition of enthalpy and derive the fo... | 4 | [
-0.0341796875,
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0.01708984375,
-0.00933837890625,
-0.057373046875,
0.1162109375,
0.... | 21,153 | 21153 | |
Related Rates Problem
November 12th 2006, 12:36 PM
Affinity
Related Rates Problem
The volume V of a spherical cancer tumor is given by , where x is the diameter of the tumor. It is estimated that the diameter of the tumor is growing at a rate of 0.4 millimeters per day, at the
point in time where the diamete... | 5 | [
0.031005859375,
0.0012969970703125,
0.002349853515625,
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-0.054931640625,
0.0498046875,
0.004638671875,
0.05... | 21,154 | 21154 | |
Fibonacci proof
October 15th 2007, 10:24 PM
padsinseven
Fibonacci proof
Here is my latest problem. Little help please. NOTE: u(n) is read u "sub" n
Prove by induction that u(n) is even if 3 divides n. In addition I also have a logic question just in reading this problem.
Is (3 divides n implies u(n) is... | 4 | [
-0.08642578125,
0.003936767578125,
-0.0235595703125,
-0.0211181640625,
0.0400390625,
0.01318359375,
0.03662109375,
-0.078125,
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0.0107421875,
0.018310546875,
-0.06494140625,
-0.0294189453125,
-0.017822265625,
-0.027587890625,
-0.08984375,
-0.018310546875,
0.016479... | 21,155 | 21155 | |
Some Problems with Attribute Charts
It’s better to measure things when we can; that’s been well-established in the quality literature over the years. The use of go/no-go gauges will always provide much less information for improvement
than measuring the pieces themselves. However, we don’t always have the luxury of usi... | 4 | [
0.08154296875,
-0.0235595703125,
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0.03662109375,
-0.00909423828125,
0.056640625,
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-0.007568359375,
0.06640625,
-0.01385498046875,
0.080078125,
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0.004974365234375,
0.07666015625,
-0.00011682510375976562,
-0.050537109375,
0.03466796... | 21,156 | 21156 | |
Find the volume
October 22nd 2008, 07:22 PM
sfgiants13
Find the volume
Find the volume of y=sqrt[25-x^2], y=0, x=2, x=4 about the x axis.
Integrating that becomes a mess when I tried it, and it gets a wacky integral that can't be right.
October 22nd 2008, 10:10 PM
earboth
Quote:
I assume that y... | 5 | [
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0.04... | 21,157 | 21157 | |
Integrate 1/(xln²x) with respect to x by change of variable.
May 26th 2010, 08:57 AM #1
Junior Member
Joined
Jan 2010
Posts
50
Integrate 1/(xln²x) with respect to x by change of variable.
I'm struggling to find a suitable substitution.
If I know one then I should be able to work it out from there.
... | 5 | [
-0.0223388671875,
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0.032470703125,
0.006683349... | 21,158 | 21158 | |
Trigonometry analysis
Don't mind the Alvira bit. Please explain algebraically how the diagram is in this equation: d km= 3tan((pi)x)
note that on a right triangle, we have $\tan\theta=\frac{b}{a}$ where $b$ is the opposite side and $a$ is the adjacent side. thus, from your figure, we have $\tan\theta=\frac{d}{3} \Righ... | 4 | [
-0.043701171875,
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0.03564453125,
... | 21,159 | 21159 | |
Math Help
Prove convergence and find the limit for the sequence $\{a_n\}$, where $a_{n+1} = \frac{a_n^2+3}{2(a_n+1)}$ for $n\geq 1$, and $a_1=0.$
1) Prove that $a_n\geq 1\,\,\,\forall n$ 2) Now prove that $a_n\leq 2\,\,\,\forall n$ 3) Now prove that $\forall n\,,\,\,a_n\geq a_{n+1}$ . Hint: $\displaystyle{a_n\geq a_{... | 4 | [
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-0.02148... | 21,160 | 21160 | |
Algebraic proof
February 22nd 2013, 03:54 PM #1
Newbie
Joined
Feb 2013
From
New Zealand
Posts
18
Algebraic proof
An ellipse has the equation x^2+5y^2=5
a line has the equation y=mx+c
(1) Show that if the line is a tangent to the ellipse then c^2=5m^2+1
(2) hence find the equation of the ... | 4 | [
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0.0498046875,
-0.0... | 21,161 | 21161 | |
Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 278097, 6 pages
http://dx.doi.org/10.1155/2013/278097
Research Article
Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equati... | 5 | [
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0.06591... | 21,162 | 21162 | |
Patent US6138135 - Propagating NaNs during high precision calculations using lesser precision hardware
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to a data processing system having a floating point arithmetic unit and, more particularly, to a method and apparatus for... | 4 | [
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... | 21,163 | 21163 | |
Dofferential Equation
May 20th 2010, 09:55 PM #1
Dofferential Equation
Find the solution of the differential equation,
$\frac{d^4y}{dx^4}-4 \cdot \frac{d^3y}{dx^3}+8 \cdot \frac{d^2y}{dx^2}-8 \cdot \frac{dy}{dx}+4y=0$
Pl help to solve it. Thanks in adv..
The characteristic equation is $r^{4}-4r^{3}... | 4 | [
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-0.0230712... | 21,164 | 21164 | |
[SOLVED] Need help with a few questions
March 16th 2010, 07:28 AM
NewtoMath
[SOLVED] Need help with a few questions
2. For the simultaneous equation ax+by = a^2 + 2ab - b^2
and bx+ay = a^2 + b^2
I know there should be some kinda shortcut but I can't figure it out
3. ABCD is a parallelogram with co... | 5 | [
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0.083984375,
-0.09912109375,
-0... | 21,165 | 21165 | |
Find the inverse of a matrix
December 28th 2009, 09:05 PM
zorro
Find the inverse of a matrix
If $A$ = $\begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$ then verify that $A^2 - 7 A - 2I = 0$ . Also find $A^{-1}$
---------------------------------------------------------------------
Solution :
$A^2 = \beg... | 5 | [
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0.00424... | 21,166 | 21166 | |
URGENT - algebra
April 1st 2006, 08:53 PM #1
Newbie
Joined
Apr 2006
Posts
3
URGENT - algebra
Can someone please help me on this?
f(x) = xcubed - 2xsquared + ax + b, where a and b are constants.
when f(x) is divided by (x-2), the remainder is 1.
when f(x) is divided by (x+1), the remainder is... | 4 | [
-0.018798828125,
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0.00225830078125,
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-0.083984375,... | 21,167 | 21167 | |
Least squares fitting with three parameters
April 7th 2010, 11:58 PM
Bucephalus
Least squares fitting with three parameters
Hi
I have read some examples of least squares fitting of data, for example there is a an example stating that Hooke's spring law relates the length of a uniform spring x as a linear fu... | 4 | [
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0.031494140625,
... | 21,168 | 21168 | |
Matiyasevich's theorem
Matiyasevich's theorem, proven in 1970 by Yuri Matiyasevich, implies that Hilbert's tenth problem is unsolvable. This problem is the challenge to find a general algorithm which can decide whether a
given system of Diophantine equations (polynomials with integer coefficients) has a solution among... | 4 | [
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0.0023956298828125,
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0.0168457031... | 21,169 | 21169 | |
Relativistic and Quantum Revisions of the Multisource Thermal Model in High-Energy Collisions
Advances in High Energy Physics
Volume 2012 (2012), Article ID 287521, 9 pages
http://dx.doi.org/10.1155/2012/287521
Research Article
Relativistic and Quantum Revisions of the Multisource Thermal Model in High-Energy Collisi... | 4 | [
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0.05810546875,
0.0576171875,... | 21,170 | 21170 | |
Need help making subject for equation
April 29th 2013, 01:18 AM
colters
Need help making subject for equation
Hey everyone,
I am currently facing a algebra question which have stumped me for days.
I try numerously but I was told that the way I done was wrong.
Can you guys lend me a hand?
I need... | 5 | [
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-0.08398437... | 21,171 | 21171 | |
[SOLVED] Applying Green's theorem
June 15th 2009, 04:04 PM #1
[SOLVED] Applying Green's theorem
I must apply Green's theorem in order to evaluate the following line integral : $I=\int_C x^2ydx-3y^2dy$ where $C$ is the circumference $x^2+y^2=1$.
My attempt : $\int_C x^2ydx-3y^2dy=\iint_{x^2+y^2=1} -x^2dxdy$.
... | 5 | [
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0.08984375,
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0.0218505859375,
-0.017822265625,
-0.00860595703125,
0.0107421875,
-0.1000976562... | 21,172 | 21172 | |
Rotational Vol Question.
January 8th 2010, 06:34 AM #1
Member
Joined
Dec 2009
Posts
180
Rotational Vol Question.
IŽll try to explain this problem. Trying to solve this for the last 40minutes now.
Equation: y = x^(0,5)
The area under this equation starts to rotate around the X-axis and gives yo... | 5 | [
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0.037109375,
0.0419921875,
0.07763671875,
-0.080078125,
-0.01373291015625,... | 21,173 | 21173 | |
Theorem of Green
April 26th 2009, 02:12 PM #1
Super Member
Joined
Jun 2008
Posts
829
Theorem of Green
If C is the triangle of vertices (0,0), (1,0) and (1,1) oriented in direction anti-clockwise
$\int_C 2xydx + (x^2+x)dy = ?$
Solution:
$\frac{ \partial (x^2+x)}{ \partial x} - \frac{ \parti... | 5 | [
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-0.05712890625,
-0.08300... | 21,174 | 21174 | |
Chinese remainder theorem 2
November 19th 2009, 07:35 AM
oldguynewstudent
Chinese remainder theorem 2
Find all solutions, if any, to the system of congruences
x $\equiv$ 7 (mod 9)
x $\equiv$ 4 (mod 12)
x $\equiv$ 16 (mod 21)
Solution manual states: We cannot apply the CRT directly, since the mod... | 5 | [
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-0.0234375,
-0.034423828125,
0.03662... | 21,175 | 21175 | |
Calculating perimeter with only area of a rectangle
June 8th 2012, 04:57 AM #1
Member
Joined
May 2012
From
Arizona
Posts
79
Calculating perimeter with only area of a rectangle
I wanted to know how to calculate the perimeter of a rectangle if its area is 10.
I know that A=l x w
and Perimeter =... | 4 | [
-0.00640869140625,
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0.047119140625,
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0.037841796875,
0.055419921875,
-0.025634765625,
0.... | 21,176 | 21176 | |
Multiplying imaginary factors of a polynomial
August 20th 2010, 06:33 AM
Glitch
[Solved] Multiplying imaginary factors of a polynomial
The problem:
$(x - e^{\frac{i\pi}{4}})(x - e^{\frac{-i\pi}{4}})$
My attempt:
I used the distributive rule to expand it, and got:
$x^2 - x(e^{\frac{i\pi}{4}} + e... | 4 | [
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0.09619140625,
0.0294189453125,
-0.01446533203125,
0.0189208984375,
-0.0... | 21,177 | 21177 | |
Help finding a vector given two vectors?
November 12th 2012, 11:15 AM
INeedOfHelp
Help finding a vector given two vectors?
Attachment 25672
Find the values of x and y and write vector B.
xi+yj * 4i + 2j = -16
How do I find x and y?
November 12th 2012, 11:22 AM
MarkFL
Re: Help finding a vector ... | 4 | [
-0.022705078125,
0.032470703125,
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-0.0030517578125,
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0.0380859375,
0.0019989013671875,
0.11572265625,
-0.01556396... | 21,178 | 21178 | |
stationary points?
July 19th 2010, 02:23 PM
arslan
stationary points?
1. For the following function:
y= x^3/3+ 2x^2 + 3x - 1
a. Find the stationary points.
b. Use the second-order derivatives to test whether the stationary points are at a
maximum or minimum value of.
thank you for your ... | 4 | [
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0.052734375,
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-0.03344726... | 21,179 | 21179 | |
Real Analysis: Prove BV function bounded and integrable
January 17th 2010, 12:34 AM #1
Newbie
Joined
Jan 2010
Posts
1
1. The problem statement, all variables and given/known data
f is of bounded variation on [a;b] if there exist a number K such that
$\sum$$^{n}_{k=1}$|f(a[k])-f(a[k-1])| $\leq$K
... | 4 | [
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-0.019775390625,
0.068359375,
-0.0737... | 21,180 | 21180 | |
Help Need in Help With finding centre of circle
November 28th 2010, 05:59 AM #1
Junior Member
Joined
Aug 2010
Posts
37
Help Need in Help With finding centre of circle
Hi Guys !
I am currently stuck with this question :
A Circle and the curve y^2=kx have a common tangent at the point B. The Cent... | 4 | [
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0.0751953125,
-0.1044921875,
0... | 21,181 | 21181 | |
Maclaurin series
February 16th 2011, 05:16 AM #1
Newbie
Joined
Feb 2011
Posts
9
Maclaurin series
Hi!
I've been trying to solve this problem for two days now without any luck.
$\displaystyle \lim_{x\rightarrow 0}\left( \frac{1}{\sin(x)} -\frac{1}{\ln(x+1)}\right)$
then i get this and now im ... | 5 | [
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0.05517578125,
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-0.0390625,
-0.033935546875... | 21,182 | 21182 | |
Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 471507, 10 pages
http://dx.doi.org/10.1155/2014/471507
Research Article
Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect
... | 5 | [
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Coulombs Law with one unknown charge
y(m)
/\
2 | q3
|
|
1 q1
|
|
------q2--> x(m)
2
*graphic* is kind of distorted.
So the coordinates of the charges are:
q1 = (0,1)
q2 = (2,0)
q3 = (2,2)
given:
q1 = 2.5 x 10^-5 C
q2 = 2.0 x 10^-5 C
q3 = ?
Problem:
If the force on q1 points in the -x direction
(a) what is q3.
(b) wh... | 5 | [
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Proof on Order of Elements in a Group
Register to reply
by jeffreydk
Tags: elements, order, proof
P: 136 I'm trying to figure out how to prove the following...
If [tex]a, b \in G [/tex] where G is a g... | 4 | [
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0.0703125,
-0.06445... | 21,185 | 21185 | |
Existence and Iterative Algorithm of Solutions for a System of Generalized Nonlinear Mixed Variational-Like Inequalities
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 176283, 14 pages
http://dx.doi.org/10.1155/2012/176283
Research Article
Existence and Iterative Algorithm of Solutions for a System of ... | 5 | [
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-0.0228271484375... | 21,186 | 21186 | |
floating points help
October 18th 2006, 07:28 PM #1
Newbie
Joined
Sep 2006
Posts
2
floating points help
convert it to denery
its in the format C with sign bit first, next 6 bits exponent next 9 bits matissa itself
1011100010101000
lets assume that the format is:
sign,exponent,mantissa
... | 4 | [
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0.0234375... | 21,187 | 21187 | |
Patent US6704354 - Method and apparatus of providing adaptive equalization using sign permutation filtering
This Application claims the benefit of U.S. Provisional Application No. 60/104,647, filed Oct. 16, 1998.
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates in general to communication... | 4 | [
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0.101074218... | 21,188 | 21188 | |
Trig integral
December 20th 2010, 02:25 AM #1
Senior Member
Joined
Apr 2010
Posts
487
Trig integral
The question:
$\int {\frac{1}{x^2 + 9} \ dx}$
My attempt:
It looks similar to the derivative of inverse tan, so dividing the denominator by 9:
$\frac{1}{9}\int{\frac{1}{(\frac{x}{3})^2 +... | 5 | [
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0.01422... | 21,189 | 21189 | |
Completing the square
October 4th 2010, 10:41 AM #1
Completing the square
How would I complete the square with the following?
4x^2-25
I thought of $(4x+\frac{0}{2}^2)-25+\frac{0}{2}^2$ but that doesn't make any sense!
Any help please?
Why would you want to complete the square? This is the diff... | 4 | [
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0.036... | 21,190 | 21190 | |
Algebraic system
Define ⊕ on RXR by setting (a,b)⊕(c,d)=(ac−bd,ad+bc)Show that (RXR,⊕) is an algebraic system
What do you mean by algebraic system? A ring? A field?
Well I havent learnt abt any algebraic structures except a group. I am wondering what defines an algebraic structure
the algebraic system formed by (RxR... | 4 | [
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0.0502929... | 21,191 | 21191 | |
Patent US5521834 - Method and apparatus for calculating dynamic power dissipation in CMOS integrated circuits
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention generally relates to CMOS circuit design, and in particular, to a method and apparatus for estimating power dissipation in CMOS circ... | 4 | [
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etd AT Indian Institute of Science: An Investigation of Architectures For Integration Of Stand-Alone INS And GPS Navigation Systems
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Edit Prof... | 4 | [
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Global Asymptotic Behavior of a Nonautonomous Competitor-Competitor-Mutualist Model
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 812357, 8 pages
http://dx.doi.org/10.1155/2013/812357
Research Article
Global Asymptotic Behavior of a Nonautonomous Competitor-Competitor-Mutualist Model
^1College of Math... | 5 | [
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An Implicit Algorithm for Maximal Monotone Operators and Pseudocontractive Mappings
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 517460, 13 pages
http://dx.doi.org/10.1155/2012/517460
Research Article
An Implicit Algorithm for Maximal Monotone Operators and Pseudocontractive Mappings
^1Department of ... | 5 | [
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Spatial Analysis and Fuzzy Relation Equations
Advances in Fuzzy Systems
Volume 2011 (2011), Article ID 429498, 14 pages
http://dx.doi.org/10.1155/2011/429498
Research Article
Spatial Analysis and Fuzzy Relation Equations
Dipartimento di Costruzioni e Metodi Matematici in Architettura, Università degli Studi di Napol... | 5 | [
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Circles question (point of tangency stuff)
(a) Arc AC = 88 degrees (half of angle B) Arc AB = 110 degrees Arc BC = 360 - 88 - 110 = 162 b = 1\2 arc BC = 1/2 (162) = 81 degrees (b) The square of the tangent is equal to the external part of the
secent times the whole secant. $5^2=4(x+4)$ $25=4x+16$ Finish up. (3) Use the... | 4 | [
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search results
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1. CJM 2013 (vol 65 pp. 843)
3-torsion in the Homology of Complexes of Graphs of Bounded Degree
For $\delta \ge 1$ and $n \ge 1$, consider the simplicial complex of graphs on $n$ vertices in which each vertex has degree at most $\delta$; we identify a... | 4 | [
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The Lie bracket of fundamental vector fields
1. The problem statement, all variables and given/known data
The Lie bracket of the fundamental vector fields of two Lie algebra elements is the fundamental vector field of the Lie bracket of the two elements:
[itex][\sigma(X),\sigma(Y)]=\sigma([X,Y])[/itex]
2. Relevant e... | 4 | [
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