content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
probability problem
April 4th 2009, 07:35 AM #1
Super Member
Joined
Sep 2008
Posts
607
probability problem
There are 16 competitors in a table-tennis competition, 5 of which come from Racknor
Comprehensive School. Prizes are awarded to the competitors finishing in each of first,
second and third ... | 4 | [
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-0.0327148... | 27,500 | 27500 | |
Proving that two groups are isomorphic
December 13th 2013, 09:59 AM #1
Member
Joined
Nov 2012
From
israel
Posts
164
Thanks
2
Proving that two groups are isomorphic
Hi.
I know that if I can show an isomorphism between two groups then that does it, but correct me if I'm wrong here (because real... | 5 | [
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Irrational numbers.Why ?
April 16th 2011, 06:00 AM #1
Newbie
Joined
Mar 2011
Posts
8
Irrational numbers.Why ?
Hi all,
I would like to know why rational numbers can encompass numbers that are infinite but periodical ( like 1/3) and cannot comprise numbers that are infinite but non-periodical (like Pi... | 5 | [
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law of quadratic residue
November 9th 2008, 09:22 AM #1
Junior Member
Joined
Sep 2008
Posts
46
law of quadratic residue
let p and q be prime numbers with p=3 mod 4 and q=2p + 1. Prove that 2^p -1 is a Mersenne prime if and only if p=3.
Since $p=4k+3$ it means $q=2(4k+3)+1 = 8k+7$ thus $q\equiv 7(\bm... | 5 | [
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Asymptotic Behavior of a Class of Degenerate Parabolic Equations
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 673605, 15 pages
http://dx.doi.org/10.1155/2012/673605
Research Article
Asymptotic Behavior of a Class of Degenerate Parabolic Equations
^1School of Traffic and Transportation, Lanzhou Jiaoto... | 4 | [
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Modeling and Performance Analysis of Energy Efficiency Binary Power Control in MIMO-OFDM Wireless Communication Systems
International Journal of Distributed Sensor Networks
Volume 2011 (2011), Article ID 946258, 8 pages
http://dx.doi.org/10.1155/2011/946258
Research Article
Modeling and Performance Analysis of Energy... | 4 | [
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Gene Expression Network Reconstruction by
The Scientific World Journal
Volume 2012 (2012), Article ID 753430, 6 pages
http://dx.doi.org/10.1100/2012/753430
Research Article
Gene Expression Network Reconstruction by LEP Method Using Microarray Data
School of Mathematics & Computational Science, Sun Yat-Sen Universit... | 4 | [
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Solving an equasion Implicitly, Hydraulics Question
January 21st 2013, 10:53 AM #1
Newbie
Joined
Jan 2013
From
St. Johns
Posts
1
Solving an equasion Implicitly, Hydraulics Question
Ok, so I am trying to solve this equasion for y
0.33392=(1/0.027)*(y+2*y^2)*((y+2*y^2)/(2.236+4.472*y))^(2/3)
... | 4 | [
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Closed Under Addition Proofs
October 29th 2008, 08:25 PM
kathrynmath
Closed Under Addition Proofs
I'm trying to prove x is a real number is closed under addition and 3Z is closed under addition, where Z is the set of integers.
October 29th 2008, 08:34 PM
vagabond
To prove 3Z is closed under addition, we n... | 4 | [
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Demonstration using congruency modulo m
December 13th 2011, 12:50 AM #1
Newbie
Joined
Dec 2011
Posts
3
Demonstration using congruency modulo m
Well, i am stuck with a problem. I have to prove that 7|(3^(2n+1) + 2^(n+2)) using the modulo m congruency.
Well this will mean that 3^(2n+1) + 2(n+2) mod 7 ... | 5 | [
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Prime Ideal Integral domain
May 18th 2009, 07:37 PM #1
Newbie
Joined
May 2009
Posts
16
Prime Ideal Integral domain
Let R be a commutative ring with unity. Show that the ideal generated by <x>={xf(x)|f(x) is a polynomial in R[x]} is a prime ideal in R[x] if and only if R is an integral domain.
For th... | 5 | [
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Factorising Polynomial over the real number field
May 17th 2011, 05:35 PM
aonin
Factorising Polynomial over the real number field
hey guys I was just wondering whether I'm doing this right
for example the question asks to factor $z^6+8$ over the real number field
Heres what I did
$z^6+8=(z^2)^3+2^3$... | 4 | [
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find the equation
February 22nd 2010, 10:30 PM #1
Newbie
Joined
Feb 2010
Posts
22
find the equation
Find the equation of the parabola with vertex: (0,0); axis: x axis; length of latus rectum: 5.
Please help me and show the solution... Or just give me an idea on how to answer this question... Thanks!... | 4 | [
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Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory
Advances in Materials Science and Engineering
Volume 2013 (2013), Article ID 125267, 7 pages
http://dx.doi.org/10.1155/2013/125267
Research Article
Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fract... | 4 | [
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Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger Equations with Superlinear Nonlinearities
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 317139, 11 pages
http://dx.doi.org/10.1155/2013/317139
Research Article
Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger E... | 5 | [
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calculate moments of inertia
October 8th 2010, 05:44 PM
tsang
calculate moments of inertia
Hi everyone,I got a question here and I thought I have solved it,and I've double checked my answer again and again,but I still get different answer compare to solution.I really feel solution is
wrong,can anyone help me... | 5 | [
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Calculating taxable income
February 3rd 2010, 07:31 PM #1
Junior Member
Joined
Jan 2010
Posts
40
Calculating taxable income
I just finished working out this problem and I'm not very sure if I did it correctly
For a) The formula I wrote out is f(x) = 0.0685(x) + 973 which would give me a taxable inco... | 4 | [
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Part B: The Pension Obligation and Plan Assets
Chapter17: Pensions and Other Postretirement Benefits
Part B: The Pension Obligation and Plan Assets
The Pension Obligation
Now we consider more precisely what is meant by the pension obligation. Unfortunately, there's not just one definition, nor is there uniformity co... | 5 | [
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Math Help
June 3rd 2009, 10:35 AM #1
Super Member
Joined
Jun 2008
Posts
829
Flux
$F(x,y,z) = xze^y i - xze^y j + z k$
S is part of the plan $x+y+z=1$ in first octante with orientation to down
by divergence theorem
$F(x,y,z) = xze^y i - xze^y j + z k$
$\int\int F.n ds=\int\int\int divF... | 5 | [
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An integration problem in Fourier transform inversion
Calculate $\frac{1}{\sqrt{2\pi}} \int^\infty_{-\infty} \frac{e^{-ikx}}{1 + k^2} dk$. How should I start?
You should start considering that is... $\int_{- \infty}^{+\infty} \frac{e^{-j k x}}{1+k^{2}}\ dk = \int_{- \infty}^{+\infty} \frac{e^{j k x}}{1+k^{2}}\ dk$ (1)... | 5 | [
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integral thought process?
February 21st 2009, 12:15 PM #1
Member
Joined
Feb 2009
Posts
125
integral thought process?
what should my thought process be when evaluating this integtral, where I have a fairly large x in front of a third root? Where do I start?
$\int x^{11}\sqrt[3]{2x^4+5}$
Think a ... | 5 | [
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Second-Order Multiagent Systems with Event-Driven Consensus Control
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 250586, 9 pages
http://dx.doi.org/10.1155/2013/250586
Research Article
Second-Order Multiagent Systems with Event-Driven Consensus Control
School of Automation Engineering, University of E... | 4 | [
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ter
Chapter 16 - The Methods of Mashing
16.3 Calculations for Boiling Water Additions
These calculations allow you to estimate the amount of heat provided by a volume of hot water so you can predict how much that heat will change the temperature of the mash. This method makes a few
simplifications, one of which is t... | 5 | [
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Maximizing Submodular Functions (Part 2)
March 26, 2012
Continuing on my last post, today I will talk about recent work by Niv Buchbinder, Moran Feldman, Seffi Naor, and Roy Schwartz that gives a simple 1/2 approximation to the (unconstrained) submodular
maximization problem, matching the hardness. Do see the paper (... | 4 | [
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integrating sine functions
October 20th 2008, 05:13 AM #1
Junior Member
Joined
May 2008
Posts
25
integrating sine functions
Posted, it here as the homework has no help was given in the other thread, and it has become a matter which quite urgently must be solved.
I am to determine the area between th... | 5 | [
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Exact Stiffness for Beams on Kerr-Type Foundation: The Virtual Force Approach
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 626287, 13 pages
http://dx.doi.org/10.1155/2013/626287
Research Article
Exact Stiffness for Beams on Kerr-Type Foundation: The Virtual Force Approach
^1Department of Civil Engin... | 4 | [
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Localization Algorithm Based on Maximum a Posteriori in Wireless Sensor Networks
International Journal of Distributed Sensor Networks
Volume 2012 (2012), Article ID 260302, 7 pages
http://dx.doi.org/10.1155/2012/260302
Research Article
Localization Algorithm Based on Maximum a Posteriori in Wireless Sensor Networks
... | 4 | [
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the encyclopedic entry of constant integration
This article is about the harmonic oscillator in classical mechanics. For its use in quantum mechanics, see quantum harmonic oscillator.
In classical mechanics, a harmonic oscillator is a system which, when displaced from its equilibrium position, experiences a restor... | 4 | [
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-0.004638671875,
0.064453125,
0.07373046875,
-... | 27,527 | 27527 | |
volume of sphere using disk method.
March 9th 2009, 03:43 PM #1
Member
Joined
Feb 2009
Posts
125
volume of sphere using disk method.
Say I have a sphere and it has a radius of 3. How could I find it's volume using the disk method and integration?
By disk method I assume you mean using cylindrical co... | 5 | [
0.0303955078125,
0.0032806396484375,
-0.06591796875,
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-0.005828857421875,
0.13671875,
0.04736328125,
-0.00958251953125,
-0.06640625,
0.049072265625,
0.008544921875,
0.09521484375,
-0.011474609375,
-0.111328125,
0.006256103515625,
0.... | 27,528 | 27528 | |
Homework Help
Posted by beckii on Monday, November 5, 2007 at 6:38pm.
i am having serious optimization problems. i don't get it!!! plz help.
a 216-m^2 rectangular pea patch is to be enclosed by a fence and divided into two equal parts by another fence parallel to one of the sides. what dimensions for the outer rectan... | 4 | [
-0.00135040283203125,
0.10009765625,
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0.044677734375,
-0.0625,
0.019287109375,
-0.044189453125,
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0.09619140625,
0.0693359375,
-0.039794921875,
0.038330078125,
0.051025390625,
0.0302... | 27,529 | 27529 | |
fast sine function
A couple of days ago I tried to self study the mathematical explanation of pi (π) and ended up with very interesting results and ideas
First of all lets answer the classic question; What is pi?
Pi or π is a mathematical constant whose value is the ratio of any circle‘s circumference to its diameter... | 5 | [
-0.1064453125,
-0.032470703125,
-0.07373046875,
0.046875,
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0.0078125,
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0.046875,
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0.054443359375,
0.0155029296875,
-0.1494140625,
-0.012451171875,
-0.0302734375,
... | 27,530 | 27530 | |
Travel-Time Difference Extracting in Experimental Study of Rayleigh Wave Acoustoelastic Effect
ISRN Mechanical Engineering
Volume 2014 (2014), Article ID 349020, 7 pages
http://dx.doi.org/10.1155/2014/349020
Research Article
Travel-Time Difference Extracting in Experimental Study of Rayleigh Wave Acoustoelastic Effec... | 4 | [
-0.015380859375,
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0.05078125,
0.08544921875,
... | 27,531 | 27531 | |
Homework Help
Posted by Bryan on Friday, November 30, 2007 at 6:38pm.
Solve the given equation in the interval [0,2 pi].
Note: The answer must be written as a multiple of pi. Give exact
answers. Do not use decimal numbers. The answer must
an integer or a fraction. Note that pi is already provided with the
answer s... | 4 | [
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-... | 27,532 | 27532 | |
[SOLVED] Stumped - Help get me started
April 25th 2009, 04:19 PM #1
Junior Member
Joined
Apr 2009
Posts
70
[SOLVED] Stumped - Help get me started
Ok, so I have the following to prove:
If a and b are real numbers s.t. 0<a<b, then there is a natural number n s.t. a<b-1/n<b.
I am confused as to wh... | 4 | [
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0.0225830078125,
0.042236328125,
0.0751953125,
-0.07080... | 27,533 | 27533 | |
Questions and Problems
Chapter7: Making Capital Investment Decisions
Questions and Problems
p. 196
1. Incremental Cash Flows Which of the following should be treated as an incremental cash flow when computing the NPV of an investment?
a. A reduction in the sales of a company s other products caused by the... | 5 | [
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-0.057373046875,
-0.0... | 27,534 | 27534 | |
Calculating variance of u_n - u_2n
July 7th 2008, 07:19 PM #1
Member
Joined
Jun 2008
Posts
148
Calculating variance of u_n - u_2n
Let u_n = (sum_(k=1,n) X_k)/n where X_i is an numerical observation of a random variable with density function f.
Similarily let u_2n = (sum_(k=1,2n) X_k)/2n where again... | 5 | [
-0.0167236328125,
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0.06689453125,
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-0.0213623046875,
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-0.07861328125,
-0.07470703125,
-0.040283203125,
-0.053466796875,
0.... | 27,535 | 27535 | |
-Jordan Homomorphisms from a Normed Algebra to a Banach Algebra
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 691025, 5 pages
http://dx.doi.org/10.1155/2013/691025
Research Article
Stability of -Jordan Homomorphisms from a Normed Algebra to a Banach Algebra
Department of Mathematics Education, Gongju ... | 5 | [
-0.056396484375,
0.0281982421875,
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0.035888671875,
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-0.007659912109375,
0.016357421875,
0.0235595703125... | 27,536 | 27536 | |
The modern NFL: are completions and yardage truly independent variables?
It’s a simple function of algebra, that two variables, related by a constant, are really only one independent parameter. Mixing the two variables in the formula really means only one is actually
important, and if you add this kind of misbuilt form... | 4 | [
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-0.016... | 27,537 | 27537 | |
Solving an inequality
March 29th 2011, 06:50 AM
bobb12
Solving an inequality
Function $f: R \rightarrow R$ is a periodic function with period $T=6$. For $x \in <-3,3>$, the formula of this function is $f(x)=9-x^2$. Solve the inequality $f(x) \le 5$.
March 29th 2011, 07:06 AM
TheEmptySet
Quote:
Note ... | 4 | [
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-0.04541015625,
-0.0390625,
-0.04833984375,... | 27,538 | 27538 | |
Solid of revolution
January 27th 2010, 05:08 AM #1
Member
Joined
Jan 2010
Posts
104
Solid of revolution
We have a raindrop that is obtained by revolving the profile curve:
f(x)=sqrt(x)*(x-C)^2 about the x-axis for 0<=x<=C, with C a positive constant.
a) Sketch the profile curve and solid of rev... | 5 | [
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-0.09423828125,
-0.0... | 27,539 | 27539 | |
[SOLVED] Showing that an expression is divisible by 7
June 12th 2009, 11:23 PM #1
Member
Joined
May 2009
Posts
99
[SOLVED] Showing that an expression is divisible by 7
Show that $2^n + 2^{n+1} + 2^{n+2}$ is divisible by 7 where n is a positive integer. How do I do this question? I solved it by just showi... | 4 | [
-0.0439453125,
0.0693359375,
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0.09814453125,
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0.041748046875,
0.07080078125,
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-0.055908203125,
-0.055419921875,
-0.01013183593... | 27,540 | 27540 | |
Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space
The Scientific World Journal
Volume 2013 (2013), Article ID 765732, 6 pages
http://dx.doi.org/10.1155/2013/765732
Research Article
Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space... | 5 | [
-0.062255859375,
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-0.05810546875,
-0.0101318359375,
-0.04... | 27,541 | 27541 | |
Multifractal Structure of the Divergence Points of Some Homogeneous Moran Measures
Advances in Mathematical Physics
Volume 2014 (2014), Article ID 161756, 8 pages
http://dx.doi.org/10.1155/2014/161756
Research Article
Multifractal Structure of the Divergence Points of Some Homogeneous Moran Measures
Wuhan College, Z... | 4 | [
-0.06982421875,
-0.087890625,
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-0.05322265625,
-0.0529785... | 27,542 | 27542 | |
gauss jordan elimination
February 24th 2009, 09:49 AM #1
Member
Joined
Dec 2008
Posts
86
gauss jordan elimination
Hello i need help to solve this:
Use gauss jordan elimination to solve for x' and y' in terms of x and y
the matrix is:
cos(theta) -sin(theta) x
sin(theta) cos(theta) y
... | 4 | [
-0.072265625,
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0.0234375,
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0.0184326171875,
-0.057373046875,
0.0498046875... | 27,543 | 27543 | |
CAGR and Why are Square Roots Taken?
August 14th 2010, 03:59 AM #1
Newbie
Joined
Aug 2010
Posts
3
CAGR and Why are Square Roots Taken?
Hi,
I am working on a couple of calucalations for a colleague that wants to arrive at a Compounded Annual Growth Rate (CAGR) for a time-series of investment data:
... | 4 | [
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0.04370117187... | 27,544 | 27544 | |
Math Help
May 31st 2010, 02:11 PM #1
Member
Joined
Apr 2010
Posts
135
integrating
hello i was asked to from a list a multiple choice which answer when inegrated gives the result $x - lnx^2$
to get that answer i differentiated the function to get the answer which was $x-2/x$
i am now trying to i... | 5 | [
0.02001953125,
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0.0213623046875,
-0.0747070312... | 27,545 | 27545 | |
Question involving linear operators, matrices, and compositions
October 12th 2010, 09:55 AM
Runty
Question involving linear operators, matrices, and compositions
Upcoming midterms are giving me very little time to work on assignments such as this one, so I need help with this.
Suppose $V$ is a vector space ... | 4 | [
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0.0147705078125,
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0.006439208... | 27,546 | 27546 | |
Using Pascal's Triangle to Solve a sqrt Binomial
May 22nd 2010, 01:47 PM #1
Newbie
Joined
May 2010
From
Gallifrey
Posts
1
Using Pascal's Triangle to Solve a sqrt Binomial
I need an answer to these expressions using the Pascal method... I was doing very well on my work until I ran into these two quest... | 4 | [
0.058837890625,
0.0211181640625,
-0.0133056640625,
0.028564453125,
-0.11328125,
0.046142578125,
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-0.099609375,
0.03759765625,
0.050048828125,
-0.0546875,
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0.115234375,
-0.03125,
-0.01251220703125,
... | 27,547 | 27547 | |
If x/y =2/3, then (x-y)/x?
Author Message
TAGS:
If x/y =2/3, then (x-y)/x? [#permalink] 21 Oct 2005, 00:42
1
Th... | 4 | [
0.0196533203125,
0.0181884765625,
0.0213623046875,
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-0.0020599365234375,... | 27,548 | 27548 | |
-Dimensional Framework for Medial-Based Image Segmentation
International Journal of Biomedical Imaging
Volume 2010 (2010), Article ID 980872, 12 pages
http://dx.doi.org/10.1155/2010/980872
Research Article
Shells and Spheres: An -Dimensional Framework for Medial-Based Image Segmentation
^1749 Benedum Hall, Universit... | 4 | [
0.07373046875,
0.01220703125,
0.06982421875,
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0.00738525390625,
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-0.029541015625,
0.057861328125,
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0.0257568359375,
0.1484375,
-0.06005859375,
-0.09423828125,
0.005157470703125,... | 27,549 | 27549 | |
)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 259768, 12 pages
http://dx.doi.org/10.1155/2014/259768
Research Article
Discussion on Generalized-(αψ, β)-Contractive Mappings via Generalized Altering Distan... | 5 | [
-0.061767578125,
0.0198974609375,
0.01348876953125,
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0.0546875,
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0.03271484375,
-0.0286865234375,
-0.0167236328125,
-0.035888671875,
... | 27,550 | 27550 | |
Integral.
February 22nd 2010, 05:14 AM
Ted
Integral.
Hello.
evaluate:
$\int \sqrt{x^2+16} dx$.
Without using Trig/Hyperbolic Substitutions.
And you must use the substitution method only.
I believed, its impossible to solve it.
February 22nd 2010, 07:28 AM
lil_cookie
The way I was taug... | 5 | [
0.036376953125,
0.048583984375,
0.039306640625,
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-0.044921875,
0.056884765625,
0.0986328125,
-0.0238037109375,
-0.044433... | 27,551 | 27551 | |
Homework Help
Posted by kchik on Tuesday, December 11, 2012 at 12:54pm.
The region A is bounded by the curve y=x^2-5x+6 and the line y = -x + 3.
(a) Sketch the line and the curve on the same set of axes.
(b) Find the area of A.
(c) The part of A above the x-axis is rotated through 360degree about the x-axis. Find t... | 5 | [
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0.004180908203125,
0.0206298828125,
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0.0027008056640625,
-0.035400390625,
0.005279541015625,
0.0380859375,
-0.048828125,
-0.000061035156... | 27,552 | 27552 | |
Finding a point on a line closest to a given point
October 5th 2007, 07:44 PM #1
Junior Member
Joined
Sep 2007
Posts
31
Finding a point on a line closest to a given point
Find the point on the line 4 x + 5 y + 6 =0 which is closest to the point ( 4, 3 ).
can anyone solve this so i can see how it is ... | 5 | [
0.0030975341796875,
0.0262451171875,
-0.07861328125,
-0.060546875,
-0.02734375,
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0.0517578125,
0.0059814453125,
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0.02880859375,
0.041748046875,
0.006195068359375,
-0.04052734375,
0.047119140625,
-0.053955078125,
-0.015... | 27,553 | 27553 | |
General Family of Third Order Methods for Multiple Roots of Nonlinear Equations and Basin Attractors for Various Methods
Advances in Numerical Analysis
Volume 2014 (2014), Article ID 963878, 8 pages
http://dx.doi.org/10.1155/2014/963878
Research Article
General Family of Third Order Methods for Multiple Roots of Nonl... | 5 | [
-0.09423828125,
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-0.12060546875,
-0.01165771484375,
0.0... | 27,554 | 27554 | |
Iterative Learning Control for Remote Control Systems with Communication Delay and Data Dropout
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 705474, 14 pages
http://dx.doi.org/10.1155/2012/705474
Research Article
Iterative Learning Control for Remote Control Systems with Communication Delay and... | 4 | [
0.005859375,
0.005950927734375,
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0.045166015625,
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-0.08740234375,
-0.0281982421875,
0.043701171875,
-0.0022125244140625,
-0.0476... | 27,555 | 27555 | |
Hypothesis test
July 25th 2006, 08:00 AM #1
Newbie
Joined
Jun 2006
Posts
12
Hypothesis test
After running about 17 miles, marathon runners encounter a form of physiological stress which they call "hitting the wall". To better pinpoint where in the race to expect this phenomenon, a
sports physiologist... | 5 | [
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If 3x + 5 < x + 11, is x prime?
Author Message
TAGS:
If 3x + 5 < x + 11, is x prime? [#permalink] 19 Jan 2013, 20:32
4
... | 4 | [
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Improved Polynomial Fuzzy Modeling and Controller with Stability Analysis for Nonlinear Dynamical Systems
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 273631, 21 pages
http://dx.doi.org/10.1155/2012/273631
Research Article
Improved Polynomial Fuzzy Modeling and Controller with Stability Analysi... | 4 | [
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right and left cosets
December 15th 2008, 06:27 AM #1
Member
Joined
Feb 2008
Posts
125
right and left cosets
I am suppose to find the right and left cosets of <(1 2 3),2> in S_3 (+) Z_3
(+) is the External Direct Product sign
I know that 0 1 2 make up Z_3
and I think S_3 is 1 2 3
Then ... | 4 | [
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-0.010... | 27,559 | 27559 | |
A simple identity to verify
January 25th 2010, 08:18 AM #1
Newbie
Joined
Oct 2009
Posts
21
A simple identity to verify
Hello,
I am having a hard time with this problem (picture attached). I always have difficulty with proof-like problems such as this one. I guess I just don't really have the mathema... | 4 | [
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-0.027587890625,
-0.0099487... | 27,560 | 27560 | |
Fixing non positive definite correlation matrices using R
October 14, 2012
By a modeler's tribulations, gopi goteti's web log
Problem
When a correlation or covariance matrix is not positive definite (i.e., in instances when some or all eigenvalues are negative), a cholesky decomposition cannot be performed. Sometim... | 5 | [
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... | 27,561 | 27561 | |
Second Order Differential Equation
December 11th 2008, 05:11 PM #1
Newbie
Joined
Dec 2008
Posts
11
Hi, I need some help with a question involving differential equation.
The first one is:
Find the solution to the differential equation.
y"-9y'+8y = 0, y(0) = 8, y'(0) = 8
Express your answ... | 4 | [
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-0.04... | 27,562 | 27562 | |
Seven Cubes Solution
Let n be a positive integer. Define the function f from Z^n to Z by f(x) = x_1+2x_2+3x_3+...+nx_n. For x in Z^n, say y is a neighbor of x if y and x differ by one in exactly one coordinate. Let S(x)
be the set consisting of x and its 2n neighbors. It is easy to check that the values of f(y) for y i... | 4 | [
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-... | 27,563 | 27563 | |
Fourier Series and Mean Error
April 28th 2010, 04:53 PM #1
Fourier Series and Mean Error
Suppose the function f(x) is defined on the interval (-L,L) and $\int_{-L}^L f^2(x)~dx$ is finite.
We want to approximate f(x) by a finite series of (co-)sines:
$f(x) \approx g_N(x) = A_0 + \sum_{n=1}^N A_n\cos{\lef... | 5 | [
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0.04296875,
-0.0388183593... | 27,564 | 27564 | |
Effect on beta one by changing x variables
May 15th 2011, 01:58 AM #1
Newbie
Joined
Feb 2009
Posts
19
Effect on beta one by changing x variables
Hi,
please help me with this proof,
I had to do a linear regression of y on x, where the x variables are 1851 to 1900 inclusive.
I was asked to ch... | 5 | [
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... | 27,565 | 27565 | |
Converegence and divergence of integrals.
October 26th 2010, 06:17 PM #1
Newbie
Joined
Oct 2010
Posts
4
Converegence and divergence of integrals.
i have no idea to solve these problems. Can anyone give me the solutions? Thank you very much!!!
Explain why the following integrals are improper and dete... | 5 | [
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... | 27,566 | 27566 | |
Math Help
January 13th 2010, 05:35 AM #1
Member
Joined
Sep 2009
Posts
98
vectors
The points A, B and C have position vectors a = ( 2, 1, 2) b= (-3, 2, 5)
c= ( 4, 5, -2) respectively with respect to a fixed origin. The point D is such that ABCD, in that order is a parallelogram.
a) Find the posi... | 4 | [
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-0.04150390625,
-0.01153564... | 27,567 | 27567 | |
Basic Vector Recipes
\( \newcommand{\bv}[1]{{\bf #1}} \) \( \newcommand{\bperp}{{\bf perp}} \) \( \newcommand{\bproj}{{\bf proj}} \)
In a previous article I introduced basic vector concepts. In this article, I show how apply the theory to common geometric problems.
About the Implementations
The implementations give... | 4 | [
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... | 27,568 | 27568 | |
Latin squares design in R
January 6, 2010
By Todos Logos
The Latin square design is used where the researcher desires to control the variation in an experiment that is related to rows and columns in the field.
Remember that:
* Treatments are assigned at random within rows and columns, with each treatment once per ... | 4 | [
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0.03979... | 27,569 | 27569 | |
Riemannian metrics and connections
Riemannian metrics and connections October 27, 2009
Posted by Akhil Mathew in differential geometry.
Tags: Christoffel symbols, connections, Riemannian metrics
trackback
Wow. Blogging is definitely way harder during the academic year.
Ok, so I’m aiming to change things around a b... | 4 | [
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0.095703125... | 27,570 | 27570 | |
Machine Learning Ex3 – Multivariate Linear Regression
March 29, 2011
By ygc
Part 1. Finding alpha.
The first question to resolve in Exercise 3 is to pick a good learning rate alpha.
This require making an initial selection, running gradient descent and observing the cost function.
I test alpha range from 0.01 to 1... | 5 | [
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-0.0... | 27,571 | 27571 | |
Using Time Deformation to Filter Nonstationary Time Series with Multiple Time-Frequency Structures
Journal of Probability and Statistics
Volume 2013 (2013), Article ID 569597, 15 pages
http://dx.doi.org/10.1155/2013/569597
Research Article
Using Time Deformation to Filter Nonstationary Time Series with Multiple Time-... | 5 | [
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... | 27,572 | 27572 | |
When Is the Complement of the Zero-Divisor Graph of a Commutative Ring Complemented?
ISRN Algebra
VolumeΒ 2012Β (2012), Article IDΒ 282054, 13 pages
http://dx.doi.org/10.5402/2012/282054
Research Article
When Is the Complement of the Zero-Divisor Graph of a Commutative Ring Complemented?
Department of Mathematics, S... | 4 | [
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0.00656127... | 27,573 | 27573 | |
T-Cell Model Derived from Nonstandard Numerical Scheme
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 375094, 9 pages
http://dx.doi.org/10.1155/2013/375094
Research Article
A Numerical Comparison for a Discrete HIV Infection of CD4^+ T-Cell Model Derived from Nonstandard Numerical Scheme
^1Department... | 5 | [
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... | 27,574 | 27574 | |
Green's function
May 16th 2011, 07:13 PM #1
Junior Member
Joined
Oct 2008
Posts
70
Green's function
green's functions are new to me so i'm struggling with these
how does one use green's method to solve:
-(K(x)u')'=f(x), 0<x<1; u(0)=u(1)=0; K(x)>0
thank you
To find a green's function f... | 5 | [
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0.0040283203125,
-0.033203125,
-0.01263427... | 27,575 | 27575 | |
Exponential/Log Function help
January 23rd 2008, 06:10 AM #1
Junior Member
Joined
Jan 2008
Posts
50
Exponential/Log Function help
I Can't seem to figure out how to show the work for this question
For a biology experiment, there are 50 cells present. After 2 hours there are 1600 bacteria. How many ba... | 4 | [
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-0.07617187... | 27,576 | 27576 | |
simple diff quesstion
February 17th 2010, 03:38 AM #1
simple diff quesstion
want to check a question and solution.
differentiate with respect to x
$y= (x^3+4)/x$
= $x^2+4x^-{^1}$
( this is the line im confused about why does the x^3 become x^2 and not 3x) or is it wrong.
$dy/dx = 2x-4x^{-... | 4 | [
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0.0064697265625... | 27,577 | 27577 | |
Can anyone provide a very hand-wavy, intuitive explanation of Heegaard Floer Homology? • /r/puremathematics
all 8 comments
[–]mian2zi314 points15 points16 points
sorry, this has been archived and can no longer be voted on
OK, here are some rough ideas:
Say you have an even dimensional manifold M^n and a pair of sub... | 4 | [
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-0.09716796875,... | 27,578 | 27578 | |
A Start-Up Demonstration Test Involving Distant Failures
Journal of Quality and Reliability Engineering
Volume 2013 (2013), Article ID 469546, 6 pages
http://dx.doi.org/10.1155/2013/469546
Research Article
A Start-Up Demonstration Test Involving Distant Failures
SCE College of Engineering, Jabotinsky 84, Ashdod, Isr... | 5 | [
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-0.11962890625,
0.07275390625,
-0.12402343... | 27,579 | 27579 | |
interval of convergence help
April 6th 2011, 11:36 AM #1
Newbie
Joined
Feb 2011
Posts
12
interval of convergence help
f(x) = 2 / x+3
taylor series polynomial out to the 6th degree
(P6) = (5/8) - (1/8)x + (1/32)(x-1)² - (1/128)(x-1)^3 + (1/512)(x-1)^4 - (1/2048)(x-1)^5
Problem:
find the... | 5 | [
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0.0096435546875,
-0.052734375,
-0... | 27,580 | 27580 | |
Wordy question, about rate of temperature increase.
April 25th 2010, 12:46 PM
George321
Wordy question, about rate of temperature increase.
A tank contains water which is heated by an electric water heater working under the the action of a thermostat. The temperature of the water, $\theta degrees C$, may be mode... | 4 | [
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... | 27,581 | 27581 | |
Homework Help
Posted by Heather on Saturday, March 24, 2012 at 12:09am.
I need to calculate the voltage through the resistor and the voltage through the inductor of an RL series circuit for different frequencies. The voltage of the source is 2.5 V. The inductor is at the
top and has an inductance of .200 H and the res... | 5 | [
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0.10791015625... | 27,582 | 27582 | |
Fuzzy Sliding Mode Controller Design Using Takagi-Sugeno Modelled Nonlinear Systems
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 734094, 7 pages
http://dx.doi.org/10.1155/2013/734094
Research Article
Fuzzy Sliding Mode Controller Design Using Takagi-Sugeno Modelled Nonlinear Systems
^1Laborato... | 4 | [
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-0.126953125,
0.0... | 27,583 | 27583 | |
Sigma notation & Pascal's Triangle/Binomial Theorem.
May 17th 2007, 04:08 PM
Mulya66
Sigma notation & Pascal's Triangle/Binomial Theorem.
I have no idea how to do these:
A) "Find the sum of the arithmetic series"
http://www.freewebs.com/smaii/sigma.bmp
B) "Expand (x+2)^4"
So far, all I could... | 4 | [
0.0179443359375,
0.021240234375,
-0.01385498046875,
0.059326171875,
-0.0439453125,
0.02880859375,
0.010986328125,
-0.01025390625,
0.038818359375,
0.0167236328125,
-0.0218505859375,
-0.055908203125,
-0.004608154296875,
-0.0167236328125,
-0.033447265625,
0.049560546875,
-0.03076171875,... | 27,584 | 27584 | |
An Inductive Link-Based Wireless Power Transfer System for Biomedical Applications
Active and Passive Electronic Components
Volume 2012 (2012), Article ID 879294, 11 pages
http://dx.doi.org/10.1155/2012/879294
Research Article
An Inductive Link-Based Wireless Power Transfer System for Biomedical Applications
^1Depar... | 4 | [
-0.09814453125,
0.0625,
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0.0712890625,
0.031982421875,
0.0096435546875,
0.... | 27,585 | 27585 | |
Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 478315, 10 pages
http://dx.doi.org/10.1155/2013/478315
Research Article
Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
... | 5 | [
-0.025146484375,
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0.0311279296875,
0.02783203125,
0.0673828125,
-0.0498046875,
0.00326538085... | 27,586 | 27586 | |
Quadratic and other polynomials
Use the quadratic to solve for x: x-1 = 2x+1 2-x Please show all working out, thanks.
Which part are you having trouble with? First you need to rearrange the equation into the form $ax^2+bx+c=0$ so you have: $\frac{x-1}{2-x}=2x+1$ $x-1=\left ( 2x+1\right )\left ( 2-x\right )$ $x-1=
4x-2... | 4 | [
-0.049560546875,
0.01507568359375,
0.05322265625,
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0.078125,
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0.050537109375,
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-0.025634765625,
0.007781982421875,
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0.0289306640625,
0.0023956298828125,
-0.042236328125,
0.04296875,
-0.034912109375,
-0.0... | 27,587 | 27587 | |
Could someone explain how to answer these 2 multiple integration questions please
June 1st 2008, 05:09 PM #1
Newbie
Joined
Jun 2008
From
China
Posts
1
Could someone explain how to answer these 2 multiple integration questions please
Hi, could someone explain step by step how to answer these questions... | 5 | [
-0.016845703125,
0.0302734375,
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0.08203125,
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0.080078125,
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-0.0380859375,
-0.06396484375,
0.01501... | 27,588 | 27588 | |
Equilateral Triangle
July 31st 2009, 11:06 PM #1
Senior Member
Joined
Jul 2009
From
Melbourne
Posts
272
Thanks
4
Equilateral Triangle
PQR is an equilateral triangle. The point U is the mid-point of PR. Points T and S divide QP and QR in the ratio 1:2. The point of intersection of PS, RT and QU is... | 4 | [
-0.00012063980102539062,
0.078125,
-0.0009765625,
-0.02587890625,
-0.072265625,
0.04052734375,
0.0859375,
0.016845703125,
0.057861328125,
-0.01171875,
0.06494140625,
-0.0830078125,
0.06982421875,
0.0380859375,
0.032958984375,
0.028076171875,
0.00433349609375,
-0.054443359375,
0.0... | 27,589 | 27589 | |
Polar to cartesian
December 1st 2011, 12:00 PM #1
Newbie
Joined
Jan 2011
Posts
23
Polar to cartesian
Find the cartesian equation of $r^2 = 9\csc(20)$?
choices:
A. xy = 9
B. 3xy = 9
C. 2xy = 9
D. 4xy = 9
This is what ive done
$(r^2= \frac{9}{\sin(20)}) \frac{1}{r}$
$\sqr... | 4 | [
-0.00640869140625,
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0.07373046875,
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0.12158203125,
0.0076904296875,
0.0279541015625,
-0.0634765625,
-0.02... | 27,590 | 27590 | |
How to prove x > ln(x) For all x>0?
How would I prove this? $x > ln(x) \forall x>0$
Consider the real-valued function $f(x) = x - \ln x$. Note that $f(x)$ is continuous on $(0, \infty)$ Since $\ln x < 0$ for $x \in (0,1)$, we have that $f(x) > 0$ on $(0,1)$. When $x = 1$, $f(x) = 1>
0$ also. Now we consider $x > 1$. N... | 5 | [
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0.0218505859375,
-0.0791015625,
-0.05175781... | 27,591 | 27591 | |
Norms and Cauchy Sequences
November 24th 2008, 07:49 PM #1
Senior Member
Joined
Nov 2008
Posts
461
Norms and Cauchy Sequences
Hi!
Two norms $||\bullet ||$ and $|||\bullet |||$ on a vector space V are called equivalent if there exist 0 < a <= b such that
$a ||\bullet || \le |||\bullet ||| \le b ... | 4 | [
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0.09912109375,
-0.06689453125,
... | 27,592 | 27592 | |
Negative Binomial
July 20th 2009, 11:51 AM #1
Newbie
Joined
Mar 2009
Posts
17
Negative Binomial
Ok, so when I try solved the attached problem I don't know how to come up with the right answer which is : 0.55858
My way of solving the problem is the following:
x=50 to infinity = 499(0.003)^2 (0.... | 5 | [
0.06787109375,
0.080078125,
0.0230712890625,
0.0031280517578125,
0.01239013671875,
-0.04931640625,
0.08056640625,
0.05419921875,
0.00897216796875,
0.09716796875,
0.038330078125,
-0.06640625,
0.07373046875,
0.03759765625,
0.00982666015625,
0.01904296875,
-0.01458740234375,
-0.059326... | 27,593 | 27593 | |
Integrals and Indefinite Integrals
1) Evaluate the integral: $\int^5_4(y-2)(2y+3) = \int^5_42y^2-y-6$
Antiderivative of the fucntion is f(x) = $\frac{2y^3}{3} - \frac{y^2}{2}-6y$
So the answer is f(5)-f(4) = 40.8333-22.6666.
Have a feeling I messed up on this one.
2) Evaluate the Integral $\int^... | 5 | [
0.027099609375,
-0.031982421875,
0.039794921875,
-0.06689453125,
0.04638671875,
-0.01226806640625,
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0.017333984375,
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-0.0203857421875,
-0.03662109375,
0.0294189453125,
-0.09521484375,
-0... | 27,594 | 27594 | |
Heisenberg Model with Added Dzyaloshinskii-Moria Interaction
ISRN Condensed Matter Physics
Volume 2011 (2011), Article ID 980192, 6 pages
http://dx.doi.org/10.5402/2011/980192
Research Article
Heisenberg Model with Added Dzyaloshinskii-Moria Interaction
^1Department of Physics, Science and Research Branch, Islamic A... | 4 | [
-0.05712890625,
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0.010986328125,
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0.0556640625,
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-0.000675201416015625,
0.0277099609375,
0.01953125,
0.03466796875,
... | 27,595 | 27595 | |
Marginal Revenue
February 2nd 2008, 06:48 PM #1
Member
Joined
Jan 2008
Posts
76
Marginal Revenue
I need to find the marginal profit as tied into this equation
R=2x(900+32x-x^2)
with Marginal Revenue = $\frac{dP}{dx}$
a.) Additional revenue for x=14 to x=15
b.) Marginal revenue when X=... | 4 | [
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0.0712890625,
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0.06298828125,
-0.007049560546875,
0.031494140625,
0.005645751953125,
0.0620117... | 27,596 | 27596 | |
Is this the correct...?
October 23rd 2008, 06:26 AM #1
Is this the correct...?
Is this the correct cayley table for the units of integers mod 21?
how would you find the order of each element?
What ye did looks correct.
To find the order of, say $[5]_{21}$ you need to take exponents until you rea... | 4 | [
0.0634765625,
0.03369140625,
0.0390625,
0.009765625,
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0.04858398437... | 27,597 | 27597 | |
the encyclopedic entry of Minkowski world
In physics, the Lorentz transformation converts between two different observers' measurements of space and time, where one observer is in constant motion with respect to the other. In classical
physics (Galilean relativity), the only conversion believed necessary was x′ = x − v... | 4 | [
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0.083984375... | 27,598 | 27598 | |
Preliminary Orbit Determination of Artificial Satellites: A Vectorial Sixth-Order Approach
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 960582, 10 pages
http://dx.doi.org/10.1155/2013/960582
Research Article
Preliminary Orbit Determination of Artificial Satellites: A Vectorial Sixth-Order Approach
In... | 5 | [
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0.0... | 27,599 | 27599 |