content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
partition law
April 11th 2013, 11:48 AM #1
Junior Member
Joined
Jan 2012
Posts
25
partition law
Two basketball players throw a ball into the basket till the first hit.
The probability for the first player tol hit the target is 5%, but for the second - 15%.
What is the partition law for the number... | 4 | [
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0.03735351... | 23,000 | 23000 | |
Calculating the gauge pressure?
1. The problem statement, all variables and given/known data
Water flows through a .259m radius pipe at the rate of .125m^3/s. The pressure in the pipe is atmospheric. The pipe slants downhill and feeds into a second pipe with a radius of .190m, positioned
.796m lower. What is the gauge ... | 4 | [
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On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 830595, 8 pages
http://dx.doi.org/10.1155/2013/830595
Research Article
On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales
^1Colle... | 5 | [
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Order of Indefinite Double Integrals
Vargo
On the other hand, you can calculate definite integrals of multivariable functions. And you can reverse the order of integration when you calculate those (Fubini's Theorem).
You can't always reverse that order, e.g.
$$
\int_0^1\int_0^1\frac{x^2-y^2}{(x^2+y^2)^2}\,\mathrm... | 4 | [
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Please check my work.. energy required to raise temp by 10deg..thanks
1. The problem statement, all variables and given/known data
You want to heat 1 L of water by 10 ºC, and so you heat it with a mechanical egg beater that is powered by a 1 kg mass on a rope over a pulley. How far does the mass have to descend to sup... | 4 | [
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I need some helps in integrations !!! Really URGENT
October 30th 2008, 05:43 PM #1
Newbie
Joined
Oct 2008
Posts
10
I need some helps in integrations !!! Really URGENT
integrate:
1. 1/ x^2* sqr(x^2+4) dx sqr is square root
2. e^(2x)*sin(e^x)dx ( I know I should do by parts but I am stucked)
... | 5 | [
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Patent US6377551 - QoS based route determination method for communications networks
FIELD OF THE INVENTION
The present invention relates to route computation for communication networks and particularly to a method for use in communication networks with multiple “Quality of Service” metrics.
BACKGROUND OF THE INVENTIO... | 4 | [
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M01 #10
Author Message
2
This post received
KUDOS
4
This post was
BOOKMARKED
... | 4 | [
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Real Analysis - Open/Closed Sets
November 8th 2008, 03:46 PM #1
Member
Joined
Oct 2008
Posts
135
Real Analysis - Open/Closed Sets
Given A is a subset of R, let L be the set of all limit points of A.
a. Show that the set L is closed
b. Argue that if x is a limit point of A U L, then x is a limit... | 4 | [
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Battery (amp hours, total charge, total current)
tony873004
A 12-V car battery is rated at 120 Ah. Assuming that the terminal voltage remains 12 V, for how long can this battery supply power at 29 W? How much charge flows through this battery in this time?
How much energy is initially stored in the battery?
I know... | 4 | [
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Bolzano-Weierstrauss: A Complex Version
May 30th 2007, 11:53 AM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Bolzano-Weierstrauss: A Complex Version
Let $(z_n)$ be a bounded sequence of complex numbers. Does there exist a subsequence $(z_{n_k})$ which is convergent... | 4 | [
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Rates and Related Rates!!
April 2nd 2008, 10:46 AM
mathlete
Rates and Related Rates!!
A voltage V across a resistance R generates a current C = V/R. Suppose a constant voltage of 9 volts is put across a resistance that is decreasing at a rate of 0.3 ohms per second when the
resistance is 4 ohms.
(a) At ... | 5 | [
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cos(tan^(-1) v)
Let $\vartheta=\tan^{-1}v$ We can construct a right triangle representing this angle. On the opposite side of the angle, it has a value of $\text{opp}=v$, and the adjacent side has a value of $\text
{adj}=1$. Now, we can find the value of the hypotenuse: $(\text{hyp})^2=(\text{opp})^2+(\text{adj})^2\imp... | 4 | [
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Patent US4843865 - Method of calibrating a compass heading
FIELD OF THE INVENTION
The present invention relates to magnetometer-type compasses, in particular, methods and apparatus for correcting magnetometer compass errors arising from non-vertical disposition of the field
sensing components therein relative to "down... | 4 | [
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angle between planes
April 24th 2008, 02:20 PM #1
Junior Member
Joined
Apr 2008
Posts
29
angle between planes
x+2y-z=4
2x+y+z=8
calculate the angle between the planes
i got 47 degree correct
obtain the unit vector in the direction of the line of intersection of the two planes? I'm not t... | 5 | [
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Work example wrong in my text? (it's driving me bonkers!)
User1247
1. The problem statement, all variables and given/known data
A textbook shows an example of work. Either my understanding of Work and how to calculate it is wrong, or the text is wrong, I am going nutty here and not sure which is wrong, I think it is... | 4 | [
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first order DE
September 1st 2010, 04:06 AM #1
Junior Member
Joined
May 2010
Posts
74
first order DE
Which method do I use to solve
(1 + t^2) dy/dt + 2ty = -picos(pi*t) y(0) = 0
I couldn't find a method to match this DE
Well I don't if you can see it or not, but the LHS says this
ay'+... | 5 | [
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ODE Problem
January 11th 2011, 04:27 PM #1
Newbie
Joined
Jan 2010
Posts
6
ODE Problem
I have this ODE:
d^2t/dx^2 = -S/K where S and K are constants. Boundary conditions are: T=T1 at x=0 T=T2 at x=L.
It looks so simple, but i'm having some issues. I used the auxiliary equation first to get the co... | 5 | [
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search results
Expand all Collapse all Results 1 - 6 of 6
1. CMB 2012 (vol 57 pp. 289)
Closure of the Cone of Sums of $2d$-powers in Certain Weighted $\ell_1$-seminorm Topologies
In a paper from 1976, Berg, Christensen and Ressel prove that the closure of the cone of sums of squares $\sum \mathbb{R}[\underli... | 4 | [
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Solutions
276.
Let a, b, c be the lengths of the sides of a triangle and let s = ^1/[2](a + b + c) be its semi-perimeter and r be the radius of the inscribed circle. Prove that
(s - a)^-2 + (s - b)^-2 + (s - c)^-2 ... | 5 | [
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... | 23,019 | 23019 | |
First Order DE
March 29th 2008, 04:48 AM #1
Newbie
Joined
Mar 2008
Posts
5
First Order DE
Hi,
I am looking to solve the following First Order differential equation, and am not sure what method to use i.e. seperating variables or Integrating factor.
The equation is dw/dt = k(a-w)
The result... | 5 | [
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Two Very Difficult Optimization Problems! Help!
April 8th 2008, 10:19 PM #1
Member
Joined
Mar 2008
Posts
95
Two Very Difficult Optimization Problems! Help!
Here are two problems that have me scratching my head, any and all help is highly appreciated. And I'll love you forever.
1. A cylindrical packa... | 4 | [
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related rates problems..
August 29th 2010, 05:12 PM #1
Junior Member
Joined
Jun 2010
Posts
47
related rates problems..
1. Water flows into a vertical cylindrical tank at the rate of 12 cu.ft/min. The surface rises 6 inches per minute. Find the radius of the tank.
2. If the angle of elevation of the ... | 5 | [
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Linear Algebra problem
February 13th 2007, 03:12 PM #1
Junior Member
Joined
Dec 2006
Posts
28
Linear Algebra problem
I was wondering how to go about a certain problem that confused me...
Here's the question:
Let x and y be nonzero vectors in the set of real n-vectors.
Prove that the length... | 4 | [
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Differentiating Trignometric Functions
July 19th 2008, 08:12 AM #1
Junior Member
Joined
Jul 2008
From
Sydney, Australia
Posts
30
I am REALLY not very good at this because I was away when they were teacher it at school and so I really need to brush up on this but anyway here are a few questions and cou... | 5 | [
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Probability
December 13th 2006, 11:07 AM #1
Probability
Hi, can someone help me with this probability problem?
A publisher is printing a 1200 page book. The machinery is good but not perfect, printing an unintended blotch on average once every 100 pages. A book will be rejected if there are 20 or more
pa... | 5 | [
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[Haskell-cafe] Monad proof
harke at cs.pdx.edu harke at cs.pdx.edu
Mon Apr 14 19:52:45 EDT 2008
Here's part of a pencil-and-paper proof of laws for a state monad.
Before doing so, I've got a question of my own about the *other* laws:
Is there a place where somebody has explicitly written the laws that
"non-proper mo... | 4 | [
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... | 23,026 | 23026 | |
Matlab- expressing derivatives in an equation with ode45?
1. The problem statement, all variables and given/known data
(-1)^4*xdx + (8y-y^2-13)dy=0; y(0)=4;
1. Use dsolve to obtain a solution.
2. As dsolve was not much help find an implicit solution of the form
f(x, y) = 4
2. Relevant equations
---
3. The attempt a... | 4 | [
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Linear Transformation
May 24th 2008, 12:04 AM #1
Linear Transformation
Hey guys,
I was revising Linear Transformation and I came accross a couple of doubts here and there. Hope you guys would be able to explain to me for me to understand it better (:
1. I know how to attempt questions with two variables... | 5 | [
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Patent US6754387 - Systems, method and program product for pattern information processing
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to a system, method and program product for pattern information processing, more particularly in the context of pattern recognition.
Pattern recognitio... | 4 | [
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Charge in conductors
AGNuke
Try using conservation of charge.
EDIT: Are those two sphere of same radius?
I don't know but maybe they are not
ehild
You can calculate also the final charge Q1' on the first sphere, as its potential is known.
As for the second sphere, kQ[2]/R[2]=18 and kQ'[2]/R[2]=24. From here, y... | 4 | [
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A Gear Ratio Torque Problem
This is a pity.
The equation you should remember is ## \displaystyle \tau = \frac {d L } {d t } ##, where ## \tau ## is torque, and ## L ## is angular momentum. This is analogous to Newton's second law: ## \
displaystyle F = \frac {d p} {d t} ##. Assuming the torque is constant, as the prob... | 4 | [
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Computing modular square roots in Python
March 7th, 2009 at 11:59 am
Consider the congruence of the form:
$$!x^2 \equiv n \pmod p$$
n is a quadradic residue (mod n). What is x? In normal arithmetic, this is equivalent to finding the square root of a number. In modular arithmetic, x is the modular square root of n mo... | 4 | [
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Math Help
March 5th 2007, 02:09 PM #1
Junior Member
Joined
Dec 2006
Posts
43
Matrices
So I got this problem in which I had to determine whether a vector [1,2,5,-1] was in the row space of the following matrix:
First row: 2, -1, 0, 3
2nd row: 7, -1, 5, 8
I know that in order to do this prob... | 5 | [
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Piecewise Trend Approximation: A Ratio-Based Time Series Representation
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 603629, 7 pages
http://dx.doi.org/10.1155/2013/603629
Research Article
Piecewise Trend Approximation: A Ratio-Based Time Series Representation
^1College of Computer Science, Chongqing ... | 4 | [
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Phase difference RLC circuit
Gavroy
i have a textbooks that says that if you have a driven RLC at its resonance frequency and now you increase the inductance, then you would measure a phase difference between the external emf and the
voltage at the capacitor that is now greater than pi/2
I will assume you mean a se... | 4 | [
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... | 23,035 | 23035 | |
at
Development of Improved User Interfaces
=======================================
1: X Window interface
---------------------
A user interface for X Window has been designed.
The X Window user interface provides separate help and plot windows,
allows editing of input expressions, maintains a log of a Maple sessi... | 5 | [
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derivative function
Consider the function ${f{{\left({x}\right)}}}={2}{{x}}^{{3}}+{9}{{x}}^{{2}}-{168}{x}+{3},\quad-{7}\leq{x}\leq{5}$. This function has an absolute minimum value equal to and an absolute maximum value
equal to
Absolute max or min is where first derivative is zero. $f(x) =& 2x^3 + 9x^2 -168x + 3$ \beg... | 5 | [
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Conservation of Energy
1. The problem statement, all variables and given/known data
A sphere rolling with an initial velocity of 30 ft/s starts up a plane inclined at an angle of 30o with the horizontal as shown. How far will it roll up the plane before it rolls back down?
2. Relevant equations
[itex] T_1+V_1=T_2+V_... | 4 | [
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0.060302734375... | 23,038 | 23038 | |
Find the limit of sequence
Let $a_0=1, a_{n+1}=sin(a_n)$. Does the constant $\alpha$ which $n^{\alpha}a_n$ has positive and finite limit exist?
Yes: you can show that $\lim_{n\to\infty}\frac 1{a_{n+1}^2}-\frac 1{a_n^2}$ is a positive constant (I found $\frac 13$, but it doesn't matter). Therefore, you can show that $\... | 5 | [
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Geometric sums and series.
March 19th 2009, 11:32 AM
brentwoodbc
Geometric sums and series.
64 players enter a tennis tournament. When a player loses a match the player drops out, the winners go onto the next round.
Find as many different methods as you can to determine the number of matches played.
... | 5 | [
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anlytic function
How can I find all analytic functions f=u+iv with u(x,y)=(x^2)+(y^2) Thanks for the help. I appreciate it.
a) do you know what it means for a function to be analytic? b) do you know what the Cauchy–Riemann equations are? if not read up on those two and give it a shot.
i tackled with the problem which... | 4 | [
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3d problems
December 21st 2010, 09:17 PM
jgv115
3d problems
Can someone help me with this question?
Standing due south of a tower 50 m high, the angle of elevation of the top is 26◦.What is the angle of elevation after walking a distance 120 m due east?
The question has me confused so I can't draw a di... | 4 | [
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Co-ordinate Geometry - Applications of a straight line
February 22nd 2011, 09:04 PM #1
Newbie
Joined
Feb 2011
Posts
3
Co-ordinate Geometry - Applications of a straight line
Hi, guys.
Can someone please explain to me how to work this out? It's one question out of my homework. I have a bunch of proble... | 4 | [
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Derivation of Lorentz transformations
JT7
Hey thanks a lot for the reply. I read through it, and I seem to understand it (later tonight I'll go through it more thoroughly). Some questions: first, if instead of considering there to be
out-of-sync clocks in the O' frame, would taking into account the fact that, in the... | 5 | [
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AIC & BIC vs. Crossvalidation
Model selection is a process of seeking the model in a set of candidate models that gives the best balance between model fit and complexity (Burnham & Anderson 2002). I have always used AIC for that.
But you can also do that by crossvalidation. Specifically, Stone (1977) showed that the AI... | 4 | [
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alculati
CAcT HomePage
Exact pH calculation
Skills to develop
• Calculate the pH when two weak acids are present in a solution.
• Calculate the pH when the concentration of the acid is very dilute.
• Calculate the pH by in... | 5 | [
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Overlapping Chain Rule?
November 13th 2012, 08:56 AM #1
Newbie
Joined
Apr 2012
From
Mars
Posts
22
Overlapping Chain Rule?
Hi,
I'm having some trouble with this problem, I'm supposed to find the derivative:
$y = \sin^2(\cos(3x^{-2}))$
I know that the Chain Rule can be applied, but to wh... | 5 | [
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Integration (population growth)
January 25th 2009, 01:19 PM #1
Member
Joined
Jan 2009
Posts
100
Integration (population growth)
A population of bacteria is changing at a rate of
dP/dt = 3000/(1+0.25t)
where t is the time in days. The initial population (when t=0) is 1000. Write an equation that... | 5 | [
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[SOLVED] Volume of Revolution Question
April 25th 2008, 03:36 AM #1
[SOLVED] Volume of Revolution Question
Question:
Th region $R$ which is bounded by the curve $y = \frac{2}{x + 1}$, the $x-axis$, and the lines $x = 1$ and $x = 5$. Show that the volume of the solid formed when $R$ is rotated completely about... | 5 | [
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Find zero/Find positive intervals
May 29th 2009, 05:56 PM
cam_ddrt
Find zero/Find positive intervals
I am studying for a test and I cannot figure out how to do these two questions. Any help would be greatly appreciated. Thanks!
1. Find the intervals on which (x²-4)/(x-1) is positive
2. Find all of x fo... | 4 | [
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-... | 23,050 | 23050 | |
how does one evaluate cos (2*arctan of (1/3))?
Attachment 25381 I can do this on my calculator quite easily but I'm not sure how to do it algebratically
Hello, kingsolomonsgrave! Quote: $\text{Evaluate: }\:\cos\left(\arctan\tfrac{1}{3}\right)$ $\text{Let }\,\theta \,=\,\arctan\tfrac{1}{3}$ $\text{Then: }\:\tan\theta \... | 4 | [
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Quadratics
June 6th 2009, 08:36 AM #1
Newbie
Joined
Jun 2009
Posts
14
Quadratics
The question:
In a right angled triangle the second to longest side is 5cm longer than the shortest and the hypotenuse is 3 times longer than the shortest side. Find the exaact length of the hypotenuse.
The answer ... | 4 | [
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Uniform Electric Field Upward Electric Force Equals Weight. HELP
1. An object with a charge of -3.6uC and a mass of .012kg experiences an upward electric force, due to a uniform electric field, equal in magnitude to its weight. (a) Find the direction and magnitude
of the electric field. (b) If the electric charge on th... | 4 | [
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Inverse function problem
September 11th 2009, 10:24 PM #1
Member
Joined
Dec 2007
Posts
137
You are given that the funcion $f(x) = \frac{e^{cos x}-1}{2+e^{cos x}}$ is one-to-one when restricted on $[0,\pi]$
Find the domain of the inverse function of f, $x \epsilon [0,\pi]$
and find a formula for t... | 4 | [
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Discrete maths
August 8th 2006, 10:40 AM #1
Newbie
Joined
Aug 2006
Posts
12
Discrete maths
suppose that f:N->N and g:N->N are defined by f(n)=nto the power of 3 and g(n)=n to the power of 2 for each natural number n.Show that gof not equal to fog.
kodirl
suppose that f:N->N and g:N->N are defin... | 4 | [
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E and V
Electric Field (E) and Electric Potential (V)
Having finished our discussion of DC circuits (Chapters 25 and 26), we now return to th... | 5 | [
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0.0289306640625,
0.01104736328125,
0.046875,
0.010498046875,
0.026123046875,
0.052734375,
-0.052001953125,
0.0140380859375,
0.06298828125,
0.01953125,
-0.12890625,
-0.058837890625,
-0.00128173828125,
-0... | 23,056 | 23056 | |
[SOLVED] residue theorem (definite real integrals)
March 7th 2009, 04:45 AM #1
Newbie
Joined
Mar 2009
Posts
4
[SOLVED] residue theorem (definite real integrals)
Hi everyone,
I didn't know where I should post my question as I'm new here; I hope this is the right place. Anyway, my question is:
I ... | 5 | [
0.0087890625,
0.0169677734375,
0.0216064453125,
0.0322265625,
0.0791015625,
0.022216796875,
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0.095703125,
0.02001953125,
0.037841796875,
0.035888671875,
-0.0113525390625,
-0.02685546875,
-0.0257568359375,
-0.03564453125,
-0.041259765625,
0.119140625,
-0.068359375,
... | 23,057 | 23057 | |
Selection rules electrostatic field
Hi all , I need some help with this problem,
1. The problem statement, all variables and given/known data
A hydrogen atom, which is in its ground state |1 0 0 > , is put into a weak time-dependent external electric field, which points into the z direction:
[tex]\boldsymbol{E}(t,\bo... | 4 | [
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0.07861328125,
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0.09814453125,
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0.0390625,
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-0.0255126953125,
0.04150390625,
0.036376953125,
-0.0198974609375,
-0.08935546... | 23,058 | 23058 | |
Math Help
September 27th 2007, 05:06 AM #1
Member
Joined
Oct 2006
Posts
78
complexe2
Hello i have 3 exercices i finished them and i need the last questions
Write in trigonometrical form the complex numbers:
[1+itan(alfa)]^4
------------
[1-itan(alfa)]
it's one number but i don't kn... | 5 | [
-0.0250244140625,
0.1533203125,
0.0037994384765625,
0.036865234375,
-0.08056640625,
0.0020904541015625,
0.07470703125,
-0.00885009765625,
0.002838134765625,
0.01226806640625,
0.0537109375,
-0.08447265625,
-0.0194091796875,
0.10205078125,
0.005706787109375,
0.00323486328125,
-0.054931... | 23,059 | 23059 | |
steepest descent
August 8th 2006, 05:40 AM
AMR
steepest descent
how can we proof this :
direction of steepest descent of a differentiable function F of M variables is the vector
( $-cdF/dw_1,...,-cdF/dw_M$)
where c is a positive constant of proportionality.
thanks
August 8th 2006, 07:41 AM
T... | 5 | [
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0.0771484375,
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0.0693359375,
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0.09228515625,
0.023681640625,
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0.042724609375,
0.0115966796875,
0.00103759765625,
0.04150390625,
-0.003936767578125,
... | 23,060 | 23060 | |
Max/Min Application
November 1st 2008, 02:05 AM #1
Senior Member
Joined
Jul 2008
Posts
347
The parabola y = x^2 and the line y = mx +b intersect at the points A (α, α^2) and B (β, β^2) as shown.
a) Explain why αβ = - b
b) Show that AB = √ (m^2 + 4b) (m^2 + 1)
c) The point P(x, x^2) ... | 5 | [
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0.0137939453125,
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0.0712890625,
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0.008544921875,
-0.016845703125,
0.185546875,
0.057861328125,
-0.051025390... | 23,061 | 23061 | |
Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 380105, 8 pages
http://dx.doi.org/10.1155/2013/380105
Research Article
Automatic Offline Formulation of Robust Model Predictive Control Based on Line... | 4 | [
-0.09228515625,
0.08447265625,
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0.125,
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-0.068359375,
0.09033203125,
0.052978515625,
-0.055908203125,
-0.02368... | 23,062 | 23062 | |
Algebra problem...
August 31st 2009, 04:02 PM
JAMESveeder
Algebra problem...
For h ≠ 0, which of the following is equivalent to
$<br /> (A(x+h)^2-Ax^2)/h<br />$?
i have 5 answers...
a) 2Ax + Ah
b) Ax + Ah
c) 2Ax + Ah^2
d) Ah
e) 2Ax
How would I go about solving this problem?
Au... | 4 | [
-0.0126953125,
0.08447265625,
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-0.0791015625,
-0.022705078125,
0.125,
0.02392578125,
-0.043701171875,
-0... | 23,063 | 23063 | |
Polymath1Wiki
Triangle removal lemma
From Polymath1Wiki
Triangle removal lemma: If a graph on n vertices contains o(n^3) triangles, then all triangles can be deleted by removing at most o(n^2) edges. That is, for every a > 0 there exists c > 0 such that
if G is any graph with n vertices and at most cn^3 triangles, t... | 4 | [
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... | 23,064 | 23064 | |
Simple proof
June 20th 2009, 01:54 PM
Danneedshelp
Simple proof
Hello, I just wanted to make sure my proof is correct before turning it in. It's a very basic proof, but it's been a while since I have proved anything.
Q: Prove that if the product AB is a square matrix, then the product BA is defined.
A:... | 4 | [
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0.0255126953125,
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0.024... | 23,065 | 23065 | |
Momentum and Kinetic Energy
PBRMEASAP
Not dumb at all. The object that has kinetic energy got it from having work done on it--that is, a force exerted over a distance.
KE = Work Done = [tex]\int F dx[/tex]
The force is just the rate of change of momentum: F = ma = m dv/dt. Put this into the integral to get
KE = [te... | 4 | [
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0.08... | 23,066 | 23066 | |
Solution to quadratic equation doesn't look right
1. The problem statement, all variables and given/known data
A pitcher throws a ball towards a wall that's 85 feet away from him. The ball's initial speed is 5 feet/second, and the acceleration of the ball is 32 feet/sec^2. How long does the ball travel before
hitting ... | 4 | [
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-0.0155029... | 23,067 | 23067 | |
Finding area of triangle
June 15th 2009, 05:14 PM #1
Junior Member
Joined
Oct 2007
Posts
68
I have a problem...I am given a triangle, with different heights, $h_{1}$, $h_{2}$, and $h_{3}$, green, blue, and red respectively.
With these, I am to find the area of the triangle, but I'm not sure how if I'... | 4 | [
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0.1474609375,
-0.050537109375,... | 23,068 | 23068 | |
Algebra, Problems For Fun (41)
November 14th 2009, 07:15 PM #1
MHF Contributor
Joined
May 2008
Posts
2,295
Thanks
7
Algebra, Problems For Fun (41)
Let $G$ be a finite group and $k(G)$ be the number of conjugacy classes of $G.$ It's easy to see that the probability that two elements of $G,$ chosen ran... | 5 | [
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-0.0517578125,
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0.0159912109375,
0.0296630859375,
-0.01855468... | 23,069 | 23069 | |
Math Help
May 11th 2010, 12:33 AM #1
Super Member
Joined
Aug 2009
Posts
639
Infimum
How do I prove that the inf(S) = -sup(-S) where -S={-s l s in S}?
I thought the inf is the greatest lower bound and hence it should be sup (-S) ?
First, I note you have posted several questions on the "Number T... | 5 | [
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0.009521484375,
-0.050048828125,
-0.030517578125,
0.1123046875,
-0.08935546875,... | 23,070 | 23070 | |
A Universal Fast Algorithm for Sensitivity-Based Structural Damage Detection
The Scientific World Journal
Volume 2013 (2013), Article ID 235820, 8 pages
http://dx.doi.org/10.1155/2013/235820
Research Article
A Universal Fast Algorithm for Sensitivity-Based Structural Damage Detection
^1Department of Civil Engineerin... | 4 | [
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0.060302734375,
-0.09912109375,
0.015625,
0.02880859375,
0.0634765625,
-0.0883... | 23,071 | 23071 | |
Limits at Infinity
October 14th 2009, 01:19 AM
mj.alawami
Limits at Infinity
Evaluate the following limits:
1) $lim (x\rightarrow \infty) \frac{\sqrt{x^2+4}}{x+4}$
2) $lim (x\rightarrow \infty) \frac{x^3-10}{x^2}$
Attempt:
For the first answer i rationalized the nummerator and got the answer as ... | 4 | [
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0.0517578125,
0.01385498046875,
-0.09228515625,
0.09375,
-0.03857421875,
0.018310546875,
0.1005859375,
-0.012451171875,
0.0625,
0.059814453125,
-0.0067138671875,
... | 23,072 | 23072 | |
Variance of a combination of normal random variables
October 6th 2009, 12:20 PM
siffi28
Variance of a combination of normal random variables
Hello everyone,
I have two normal random variables $X$ and $Y$ such that both have zero mean and same standard deviation $\sigma$ and I want to find out the variance o... | 4 | [
0.041015625,
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0.01202392578125,
0.02490234375,
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-0.02099609375,
-0.021... | 23,073 | 23073 | |
Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 958219, 27 pages
http://dx.doi.org/10.1155/2013/958219
Research Article
Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Lamin... | 4 | [
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0.00074005126953125,
-0.0208740234375,
-0.032958984375,
0.0257568359375,
... | 23,074 | 23074 | |
Continuous random variable
December 29th 2008, 04:34 AM #1
Member
Joined
Sep 2007
Posts
198
Continuous random variable
The amount of vegetables eaten by a family in a week is a random variable W kg. The probability density function is given by:
$f(w) = \begin{cases} \frac {20}{5^5}w^3(5-w), &\text {... | 4 | [
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0.019775390625,
... | 23,075 | 23075 | |
Mathematical induction proof
February 13th 2007, 12:42 PM
Recklessid
Mathematical induction proof
Hello, I was wondering if anyone can help me with this problem.
Find a closed form for
/sum_{k=0}^n x^k where x does not equal to zero.
Then prove that it is valid for all integers n>= 1.
February 13t... | 5 | [
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-0.03979... | 23,076 | 23076 | |
GroupStudy.com - CCIE, CCNA, CCNP and other Cisco Certifications
RE: Custom Queue Confusion posted 06/01/2003
Ratios work just like fractions. Look for the lowest common denominator.
It is easy to see that 2/4 is the same as 1/2. Thus 25/15 = 5/3.
He just noticed that the numbers in the original ratios all ended in... | 4 | [
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-0.03... | 23,077 | 23077 | |
a peculiar ODE
December 31st 2009, 06:02 PM
mmzaj
a peculiar ODE
what is the solution for y in this peculiar ODE ?
$A\left(y,x\right)=\frac{dy}{dx}+B(x)(1-y)$
with initial conditions :
$\frac{dy}{dx}= 0 \ldots,y=0$
$\frac{dy}{dx}=\delta(x-x_{0})\ldots,y=1$
moreover
$\int^{\infty}_{-... | 4 | [
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-0.05224609375,
-0.13574... | 23,078 | 23078 | |
Math Help
October 5th 2009, 07:34 PM #1
Substituting
Show that, with a suitable value of the constant $\alpha$, the substitution $y=x^{\alpha}w$ reduces the differential equation
$2x^{2}\frac{d^{2}y}{dx^2}+(3x^2+8x)\frac{dy}{dx}+( x^2+6x+4)=f(x)$
to
$2\frac{d^{2}w}{dx^2}+3\frac{dw}{dx}+w=f(x)$
... | 4 | [
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0.0498046875,
-0.110... | 23,079 | 23079 | |
Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 718040, 8 pages
http://dx.doi.org/10.1155/2014/718040
Research Article
Unified Common Fixed Point Theorems for a Hybrid Pair of M... | 5 | [
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-0.005767822265625,
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0.012451171875,
-0.0634765625,
-0.0493164... | 23,080 | 23080 | |
On Solutions of Fractional Order Boundary Value Problems with Integral Boundary Conditions in Banach Spaces
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 428094, 13 pages
http://dx.doi.org/10.1155/2013/428094
Research Article
On Solutions of Fractional Order Boundary Value Problems with I... | 4 | [
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... | 23,081 | 23081 | |
differential question
for what values of k does the function y=costkt satisfy the differential equation 4y''=-25y?
$y = \cos{(kt)}$ $y' = -k\sin{(kt)}$ $y''= -k^2\cos{(kt)}$ $4(-k^2\cos{(kt)}) = -25(\cos{(kt)})$ Spoiler:
Last edited by calc101; July 4th 2009 at 05:52 AM. Reason: hide explicit solution
I was rather h... | 4 | [
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-0.0... | 23,082 | 23082 | |
Percents of Solution
July 27th 2011, 09:39 PM #1
Newbie
Joined
Jul 2011
Posts
2
Percents of Solution
A printer has ink that is 8% cobalt blue color and ink that is 22% cobalt blue color. How many ounce of each ink are needed to make 64 ounces of ink that is 15% cobalt blue color?
I am getting .08x+... | 4 | [
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-0.00897216796875,
... | 23,083 | 23083 | |
Arithmetic Squence
September 13th 2011, 06:37 PM #1
Arithmetic Squence
A doctor prescribes 200 mg of a medication on the first day, and the dosage is reduced by half every day, for one week. What is the total amount of medication prescribed?
I know the answer, but the way I got the answer is definitely incor... | 4 | [
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-0.03857421... | 23,084 | 23084 | |
Finding the lengths of a rectangle (not as easy as it sounds)
October 14th 2013, 03:53 PM #1
Newbie
Joined
Aug 2013
From
United States
Posts
12
Finding the lengths of a rectangle (not as easy as it sounds)
I have a quiz coming up in my Geometry class and my teacher has hinted that there will be a que... | 4 | [
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Aircraft Performance - Performance Charts
Performance charts allow a pilot to predict the takeoff, climb, cruise, and landing performance of an aircraft. These charts, provided by the manufacturer, are included in the AFM/POH. Information
the manufacturer provides on these charts has been gathered from test flights co... | 5 | [
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Patent US20040135721 - Method and system for estimating ionospheric delay using a single frequencey or dual frequency gps signal
FIELD OF THE INVENTION
[0001] The present invention relates to global positioning system (GPS) technology. In particular, the present invention relates to an improved technique for estimatin... | 4 | [
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Soft Rough Approximation Operators and Related Results
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 241485, 15 pages
http://dx.doi.org/10.1155/2013/241485
Research Article
Soft Rough Approximation Operators and Related Results
^1School of Science, Guangxi University for Nationalities, Nanning, Guang... | 5 | [
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Difficult integration using hyperbolic trig functions
April 22nd 2012, 06:45 PM #1
Junior Member
Joined
Sep 2011
Posts
70
Thanks
2
Difficult integration using hyperbolic trig functions
I need to calculate the following: $\int \sqrt{2\cosh t(\cosh t-1)} dt$, assuming $t\ge0$. So far I have tried some ... | 4 | [
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0.006... | 23,089 | 23089 | |
Prove Identity
July 12th 2005, 04:13 PM
Tiffychop
Prove Identity?!?!?! Please help
How do I prove the following identities?
sin(3pi/2 + x) = -cos x
sin(pi/2+h)-sin(pi/2) ...cos h-1
_________________ = ______
............h ....................h
Please help I am having alot of trouble wi... | 4 | [
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0.0... | 23,090 | 23090 | |
Irreducible polynomial
April 6th 2010, 05:48 AM #1
Junior Member
Joined
Sep 2009
From
Johannesburg, South Africa
Posts
71
Irreducible polynomial
I want to show that $x^2+i$ is irreducible over $\mathbb{Q}(i)$
My try;
If there is an expansion it should be lineair. Thus there exist a $x \in \m... | 4 | [
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0.... | 23,091 | 23091 | |
Need help solving/graphing diff eqs with Maple
Hi everyone, first time poster here. I'm hoping someone who's familiar with Maple can help me solve this problem from
Classical Dynamics of Particles and Systems
, Thornton/Marion, 5th ed., Chap 2, number 7. I have the solutions manual which contains this problem, and I ... | 4 | [
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... | 23,092 | 23092 | |
Some Remarks on End-Nim
International Journal of Combinatorics
Volume 2011 (2011), Article ID 824742, 9 pages
http://dx.doi.org/10.1155/2011/824742
Research Article
Some Remarks on End-Nim
Department of Mathematics, La Trobe University, Melbourne, VIC 3086, Australia
Received 26 September 2011; Accepted 14 November... | 5 | [
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0.0454101... | 23,093 | 23093 | |
Pythagorean Expectation Calculator
Pythagorean Expectation Calculator & Formula
In baseball, one way to predict a team's expected number of wins and losses is with a simple formula called the Pythagorean Expectation, invented by the sabermetrician Bill James.
The Pythagorean win/loss formula uses the number of runs s... | 4 | [
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0.024169921875... | 23,094 | 23094 | |
Space elevator
1. The problem statement, all variables and given/known data
I've worked through part (iv) of this problem, but I am not sure if I shown enough calculation. The most important parts of the question, to put it all in context:
(i) The gravitational force on a body of mass m at a distance r from the earth... | 4 | [
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0.032... | 23,095 | 23095 | |
co-ordinate geometry
September 26th 2008, 12:10 PM #1
Newbie
Joined
Sep 2008
Posts
11
co-ordinate geometry
Btw, how do I find my previous posts on here ?
OK, can someone explain. I know the gradient of a line, and i'm being asked to find the equation of the line perpendicular to it.
The gradien... | 4 | [
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-0.03... | 23,096 | 23096 | |
Trigonometric Equations
October 30th 2007, 10:54 AM #1
Senior Member
Joined
Jul 2007
Posts
290
Trigonometric Equations
When the problem asks to Find all solutions of the equation, I can solve the equation perfectly fine but i'm having trouble understanding when to use
kpi or 2kpi
For instance:
... | 4 | [
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0.125,
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-0.... | 23,097 | 23097 | |
multiplication proof
December 4th 2007, 06:13 AM
jay0148
multiplication proof
w > x and y > z then wy > xz
w,x, y and z are natural numbers
use only addition and multiplication for proof
I need help with this proof ASAP....please
December 4th 2007, 10:36 AM
Jhevon
Quote:
The trouble h... | 4 | [
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Spinning Fluidmass Question.
@nvn:
Hope you had a good weekend.
I'd like to start by "spreading out" your original post to make things easy for us and all who may come this way in the future; and work down from there.
To begin:
The pressure on the cylinder wall will vary along the wall height. If you take a vertica... | 5 | [
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