content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Natural Log
Hi All, please see if my steps are alright below:
Solve for x
$e^{2x} - 7e^x + 12$
$e^{2x} - 7e^x = -12$
$e^{2x} - (e^x)^{7} = -12$
$ln(\frac{e^{2x}}{e^(7x)} = e^{-12}$
$ln(e^{-5x} = e^{-12}$
$-5x = -12 \rightarrow x = \frac{12}{5}$
| 4 | [
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Euler Function Proof
February 4th 2011, 07:09 PM
uberbandgeek6
Euler Function Proof
Suppose that m is an integer with m > 1 and gcd(a(a-1), m) = 1. Prove that:
1 + a + a^2 + ... + a^(phi(m) - 1) ≡ 0 mod m
I'm really not sure where to start with this. I assume I will have to make use of Euler's Theorem ... | 5 | [
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OffSet Logarithmic Integral
September 29th 2010, 08:48 AM #1
Newbie
Joined
Sep 2010
Posts
5
OffSet Logarithmic Integral
Hello, I've posted a thread several threads ago about some "intro" questions to a problem and I'm now trying to deal with the last questions of the problem itself.
We are studying $... | 4 | [
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0.0064086914062... | 15,402 | 15402 | |
Proving a set is a subspace
May 5th 2009, 11:11 AM #1
Newbie
Joined
May 2009
Posts
1
Proving a set is a subspace
Hey everybody,
My tutor has found an old exam online and is having me complete it as a preparatory exercise before my final exam this week. I'm having trouble even wrapping my head around... | 4 | [
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A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates
Advances in Numerical Analysis
Volume 2012 (2012), Article ID 626419, 20 pages
http://dx.doi.org/10.1155/2012/626419
Research Article
A Class of Numerical Methods for the Solution of Fourth-Order Ordinar... | 5 | [
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moving particle
February 27th 2007, 05:32 PM
rcmango
moving particle
A particle is moving so that the acceleration at time t is:
a(t) = 24t^2 i - 12t j
The initial position and velocity are r(0) = i and v(0) = i - j respectively. Find r(t), the position at time t.
please help me with this problem.
... | 5 | [
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D
14
DERIVATIVES OF LOGARITHMIC
AND
EXPONENTIAL FUNCTIONS
The derivative of ln x
The derivative of e with a functional exponent
The derivative of ln u(x)
The general power rule
THE SYSTEM OF NATURAL LOGARITHMS has the number called e as it base; it is the system we use in all theoretical work. (In the ... | 5 | [
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Frictionless cylindrical flywheel, of diameter 250mm and mass 30k
The radius of gyration should be easy, it's just a simple formula. It's just a function of mass and moment of inertia if I remember correctly. OK, I looked it up, it's just:
[tex] R = \sqrt{\frac{I}{m}} [/tex]
As for the problem let's try and walk throug... | 4 | [
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Integration over a region
March 20th 2011, 12:47 AM
janvdl
Integration over a region
Hi guys,
I'm a tad stuck on this problem.
Quote:
Let $R$ be the region in $\mathbb{R}^2$ enclosed in the circle $x^2+y^2 = 1$ and below the line $y = x + 1$
Calculate the integral $\int \int _R x^2y^2 dA$ by... | 5 | [
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Random choice of numbers from series, probability the numbers are equal?
August 29th 2011, 12:13 AM #1
Senior Member
Joined
Oct 2009
Posts
295
Thanks
9
Random choice of numbers from series, probability the numbers are equal?
A number X is chosen at random from the series 2,5,8.. and another number Y ... | 4 | [
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Consecutive Twin Primes Proof
December 17th 2005, 07:56 PM
Treadstone 71
Consecutive Twin Primes
Let p>3 be a prime. If p+2 is a prime, then p+4 is not a prime. Any way to show this?
December 17th 2005, 10:18 PM
CaptainBlack
Quote:
Originally Posted by Treadstone 71
Let p>3 be a prime. If p+2 i... | 4 | [
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Physics Forums - View Single Post - Hilbert, Inner Product
bugatti79
1. The problem statement, all variables and given/known data
Prove the function <x,y>=x_1y_1+x_2y_2+x_3y_3 defines an inner product space on the real vector space R^3 where x=(x1,x2,x3) and y=(y1,y2,y3)
3. The attempt at a solution
Axiom 1 <x,... | 4 | [
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Sign Diagrams
Date: 05/20/2002 at 03:43:17
From: Jessie
Subject: Sign Diagrams (without graphing)
There is a diagram in my text book that looks something like this:
x2 - 1/2x
| |
+ | _ | +
__________________________________
| |
... | 4 | [
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combinations
December 16th 2006, 12:52 PM #1
Junior Member
Joined
Dec 2006
Posts
43
combinations
[note...n choose k entails the following: n!/(k!(n-k)!)
i have to simplify following statement but don't know how to go about it:
(n choose 4) + 2(n choose 5) + (n choose 6)
so if anyone could ... | 4 | [
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0.0181884765... | 15,413 | 15413 | |
I'm trying to learn DE independently, so if this is insanely stupid,
TylerH
After doing a little research on him, I have a theory on why his notation is used so prevalently in diff eq. He succeeded Euler, who discovered characteristic equations and did lots of other founding
work on DE (Euler method of numerical sol... | 5 | [
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Limit Proof
November 12th 2009, 08:25 PM #1
Member
Joined
Oct 2008
Posts
82
Limit Proof
let all xn>=0 for all natural numbers n. Assume that sigma(n from 1 to infinity) xn<infinity
Prove that the lim as n tends to infinity of xn=0
Assume not; that is, $x_n\to L>0$. Because $x_n$ converges, $\exi... | 5 | [
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Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability
This fascinating book owes its existence to the author's desire for a "basic insight" into the general unsolvability of polynomial equations of degree five or higher. Peter Pesic is Tutor and
Musician-in-Residence at St. John's College in S... | 4 | [
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... | 15,416 | 15416 | |
Official Quant Thread for CAT 2012 [Part 1] (New) : PaGaLGuY : The Education Network
arumugam das @arumugadas 91
Posted 08 Feb '12
a train and car start at same time ...car at rear end reaches front end and come back to rear end . in the mean time train travels 1 km and speed of train is 1 km /hr ...wat is distance ... | 4 | [
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Conformal transformations and Möbius transformations
Conformal transformations of space-time are, by definition, those general coordinate transformations which preserve the angles between any two vectors, or what is the same, which scale the metric
locally by an overall factor. In flat space-time of dimension [itex]D >... | 4 | [
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0.05664062... | 15,418 | 15418 | |
Homologic (perspective) pedal triangle
December 29th 2009, 07:42 AM #1
Newbie
Joined
Dec 2009
Posts
15
Homologic (perspective) pedal triangle
Hello everyone!
I have some serious problems with the next trigonometry problem.
I have to find point P such that its pedal triangle is perspective to gi... | 5 | [
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Striking Regularities In The World Population Curve
In statistical physics, one learns of the general concept of
Birth-Death processes which describe systems typified by populations,
such as particle number, bacterial count, or human or animal systems.
The one equation that stands out is the Malthus-Verhulst equatio... | 4 | [
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Patent US6263120 - Image data interpolation processing method
BACKGROUND OF THE INVENTION
The present invention relates to an image-data interpolation processing method for interpolation of insufficient image data to achieve high-resolution transformation and magnification of a
multigradational image containing differ... | 4 | [
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Titrate sulphuirc acid with sodium hydroxide
The Bob
This is what I want to know. How to work it out and how to apply it.
Lets start with some easier, classic case - acetic acid (AcH).
Dissociation equation:
[tex]AcH \leftrightarrow Ac^- + H^+[/tex]
Equilibrium constant:
[tex]K_a = \frac{[Ac^-][H^+]}{[AcH]}[/tex]... | 5 | [
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0.0095214... | 15,422 | 15422 | |
Go4Expert - Extended Euclidean Algorithm Explanation Help and Modular Multiplicative Inverse
Peter_APIIT 29Mar2009 09:17
Extended Euclidean Algorithm Explanation Help and Modular Multiplicative Inverse
Hello to all, i have a hard time understand this these two topics.
I hope someone can clear my myth.
I do check... | 4 | [
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How can I prove these two field extensions are equal?
March 21st 2011, 12:31 PM
Seda1
How can I prove these two field extensions are equal?
How can I prove these two field extensions are equal?
Q(√3, -√3, i, -i) = Q(√3+i) where Q is the field of the rational numbers.
I got Q(√3+i) ⊆ Q(√3, -√3, i, -i), ... | 4 | [
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... | 15,424 | 15424 | |
Perfect Squares
July 30th 2011, 06:38 AM #16
Grand Panjandrum
Joined
Nov 2005
From
someplace
Posts
14,972
Thanks
4
Re: Perfect Squares
Unfortunately the problem has transmogrified into finding the smallest and largest number with the required properties by hand as Dudeney must have done.
(so... | 4 | [
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... | 15,425 | 15425 | |
Mean Value and Rolle's Theorem
Torshi
1. The problem statement, all variables and given/known data
1.) (MVT) f(x) = 2x^3-6x^2-48x+4 on interval [4,9]
By the Mean Value Theorem, we know there exists a c in the open interval (-4,9) such that f'( c) is equal to this mean slope. For this problem, there are two values o... | 4 | [
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-0... | 15,426 | 15426 | |
Null space for Matrix with similar columns
November 17th 2011, 01:47 PM
nkhan
Null space for Matrix with similar columns
Hi,
I just read that the null space for the following matrix
[1 0 1;
5 4 9;
2 4 6]
is the line of all points x = c, y = c, z = -c.
I was wondering what the null spa... | 5 | [
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-0.10888671875,
0.02587890625,
-0.08740234375,
-0.08... | 15,427 | 15427 | |
Physics Forums - Require help
- -
Require help
(
http://www.physicsforums.com/showthread.php?t=147835
)
Require help
In an investigation of a physics problem, I ran into the following equation:
d^2(y)/(dt)^2 = k * y * (y^2 + c)^-1.5
I know how to solve separable first order differential equations but this on... | 5 | [
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... | 15,428 | 15428 | |
Method of images
April 27th 2010, 09:03 PM #1
Member
Joined
Mar 2010
Posts
122
Method of images
For the heat equation on a semi infinite domain we have been shown the method of images. Which to my understanding is basically using an even or odd extension to match the boundary condition.ie
for $U_x(0,... | 4 | [
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Concrete slab reinforced - density
August 23rd 2005, 10:18 AM #1
Gerbil
Guest
Massive essay due in 2 days. Please help!
There is only one question I am slightly stuck on. Here it is:
A concrete lintel of 2.6 x 0.15 x 0.10m and density 2215 kg/m3, is reinforced by two 15mm diameter steel bars. Assuming the de... | 4 | [
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Show that Y is a finite set
March 31st 2010, 03:02 PM #1
Member
Joined
Feb 2010
Posts
146
Show that Y is a finite set
Let X and Y be sets satisfying Y $\subset$X $\subset$(- $\infty$, $\infty$). Suppose that X is compact and that for every x $\in$X, there is a neighborhood of x which contains only a fini... | 5 | [
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Lyapunov function help!
Consider [itex]V(x) = \|x\|^2 = x \cdot x[/itex]. Then [itex]\nabla V = 2x[/itex] and
[tex]
\dot V = \nabla V \cdot \dot x = \nabla V \cdot f(x) =
2x \cdot (Df(0) \cdot x) + O(\|x\|^3).
[/tex]
What does the condition on the eigenvalues of Df(0) imply about the sign of [itex]x \cdot (Df(0) \cdot ... | 4 | [
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A 14th and 26th-power Dedekind eta function identity?
up vote 23 down vote favorite
4
Given the Dedekind eta function $\eta(\tau)$. Let p be a prime and define $m = (p-1)/2$.
1. Let p be a prime of form $p = 12v+5$. Then for $n = 2,4,8,14$: $$\sum_{k=0}^{p-1} \Big(e^{\pi i m k/12} \eta\big(\tfrac{\tau+m k}{p}\big)\B... | 5 | [
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Patent US6665695 - Delayed adaptive least-mean-square digital filter
This application claims priority under 35 USC §119(e)(1) of Provisional Application No. 60/176,186, filed Jan. 14, 2000.
TECHNICAL FIELD OF THE INVENTION
This invention relates generally to the field of digital signal processors. More specifically, ... | 4 | [
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Analysis on Shift of Nature Modes of Liquid Sloshing in a 3D Tank Subjected to Oblique Horizontal Ground Motions with Damping Devices
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 627124, 24 pages
http://dx.doi.org/10.1155/2013/627124
Research Article
Analysis on Shift of Nature Modes of Liquid Sl... | 4 | [
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Isomorphic
Show that Z[root 7] is not isomorphic to Z[root 13]. How can i show this by contradiction?
Hi Assume there is a ring isomorphism $f:\mathbb{Z}[\sqrt{7}]\rightarrow\mathbb{Z}[\sqrt{13}].$ Using the morphism properties, try to find a contradiction with $f(\sqrt{7}).$ (Remember that, by
definition, $f(1)=1$ he... | 5 | [
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Posts from June 11, 2010 on Aaron Meurer's SymPy Blog
Integration of rational functions
June 11, 2010
So for this week’s blog post I will try to explain how the general algorithm for integrating rational functions works. Recall that a rational function is the quotient of two polynomials. We know that
using common den... | 4 | [
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IMO 2009 #1
IMO 2009 #1 July 18, 2009
Posted by Martin Camacho in Problem-solving, Uncategorized.
Tags: imo, number theory
trackback
The 2009 IMO was a few days ago – in this post I tackle what I think is one of the easier IMO problems, IMO 2009 #1.
The question is as follows:
Let ${n}$ be a positive integer and le... | 5 | [
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... | 15,438 | 15438 | |
Give an example..
An infinite group has no proper infinite subgroup. Give an example.
our very own Prufer group: fix a prime number $p$ and define $G=\left \{\frac{m}{p^n} + \mathbb{Z}: \ \ m, n \in \mathbb{Z}, \ n \geq 0 \right \} \subset \mathbb{Q}/\mathbb{Z}.$ every proper subgroup
of $G$ is finite and cyclic. in f... | 5 | [
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Algebra - Factoring
I've tried to factor this for a long time but I can't get it right. (x-2y)^3 + 4(2y-x)
well the directions were for me to factor it completely. Since the problem was (x-2y)^3 + 4(2y - x). I figured I had to use one of those formulas. So at first I multiplied a -1 into (2y - x) to make
it the same a... | 4 | [
-0.0096435546875,
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-0.0732421875,
-0.030151... | 15,440 | 15440 | |
Patente US5173746 - Method for rapid, accurate measurement of step heights between dissimilar materials
BACKGROUND OF THE INVENTION
The invention relates to optical interferometers, such as the assignee's WYKO TOPO optical profiler, and more particularly to improvements that allow rapid, accurate determination of step... | 4 | [
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-0.025146484375,
-0.00... | 15,441 | 15441 | |
Homework Help
April 1st 2012, 12:03 AM #1
Newbie
Joined
Mar 2012
From
Canada
Posts
11
Homework Help
A couple more questions giving me problems in my homework, please be very explanatory!
1. Consider the circle given by $x^{2}+y^{2}=1$. Determine the equation of the transformed function if the gr... | 4 | [
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0.0225830078125,
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0.03063964843... | 15,442 | 15442 | |
a rational number?
September 3rd 2010, 10:57 AM #1
Newbie
Joined
Sep 2010
Posts
7
a rational number?
Hello. I'd like to ask if there is any possibility that
sqrt(7) - sqrt(x)
can give a rational number?
Please, give the proof.
yes, i meant except of 0?
Yes, I see. But in this equati... | 4 | [
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-0.01007080078125,... | 15,443 | 15443 | |
Segment Trees
A segment tree is a heap-like data structure that can be used for making update/query operations upon array intervals in logarithmical time. We define the segment tree for the interval [i, j] in the
following recursive manner:
• the first node will hold the information for the interval [i, j]
• if i... | 4 | [
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0... | 15,444 | 15444 | |
Quadratic Functions... and... ranges?
November 29th 2009, 07:23 AM
MathBane
Quadratic Functions... and... ranges?
Forgive me if this is in the wrong place. I'm at that transitional stage where the algebra stuff is mix in with the pre-calculus stuff.
The question:
Electric resistance in copper wire chan... | 4 | [
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... | 15,445 | 15445 | |
Instantaneous velocity
September 24th 2008, 01:43 PM #1
Member
Joined
May 2008
Posts
138
Instantaneous velocity
Man, these types of problems are given me a run for my money
$t2 - 7t + 16$
Find the instantaneous velocity at t = 4
I get this problem simplified down to
$\frac{x(x-7)-a(a-... | 4 | [
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... | 15,446 | 15446 | |
Brevet US6899215 - Currency validator
The invention relates to currency validators and methods for adapting and operating currency validators. In this specification, the terms currency and currency items are intended to include coins,
tokens and the like, banknotes and bills, other value sheets such as cheques, voucher... | 4 | [
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Physics Forums - Max # of bright fringes
kevnm67 Apr30-11 06:49 AM
Max # of bright fringes
1. The problem statement, all variables and given/known data
A diffraction grating with 620 lines per mm is illuminated with light of wavelength 520 nm. A very wide viewing screen is 2.0 m behind the grating. (Note: 1 mm =... | 4 | [
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... | 15,448 | 15448 | |
intergration help!!!
evalutate the intergral intergral between infinity and 0 of $e^{-x^{2}}$ help please!
You mean $\int_0^{\infty} e^{-x^2}dx$ I presume? There is a neat little trick to doing this. First notice that the integrand is an even function. So $\int_0^{\infty} e^{-x^2} dx = \frac{1}{2}\int_{-\
infty}^{\inf... | 5 | [
0.005126953125,
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0.0932617187... | 15,449 | 15449 | |
Complex Formation Control of Large-Scale Intelligent Autonomous Vehicles
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 241916, 19 pages
http://dx.doi.org/10.1155/2012/241916
Research Article
Complex Formation Control of Large-Scale Intelligent Autonomous Vehicles
Department of Control Engineeri... | 4 | [
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... | 15,450 | 15450 | |
Quotient groups of cyclic groups
July 21st 2013, 02:38 PM #1
Member
Joined
Jun 2012
From
Georgia
Posts
176
Thanks
22
Quotient groups of cyclic groups
"G is a cyclic group with normal subgroup N. Show that G/N is cyclic."
Not sure what to do here. I know that all subgroups of a cyclic group a... | 5 | [
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0.005126953125,
-0.01... | 15,451 | 15451 | |
Recurrence Relation
May 19th 2007, 06:19 PM
pwr_hngry
Recurrence Relation
Solve the given recurrence relation with for the initial conditions given.
a_n = 7a_(n-1) - 10a_(n-2)
a_0 = 5
a_1 = 16
I am missing something and cannot come up with the answer here.
Pwr
May 19th 2007, 06:54 PM
Soro... | 4 | [
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-0.08251... | 15,452 | 15452 | |
Help me to solve Five Questions of Discrete Math
April 21st 2007, 03:22 PM #1
Newbie
Joined
Apr 2007
Posts
3
Five Questions of Discrete Math
help me to solve this
(1)
Show that the sequence a0, a1, a2, … for all integers n ³ 0
an = 3.2n – 2.3n
(2)
Satisfies the recurrence relatio... | 4 | [
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0.0186767578125,
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-0.046386718... | 15,453 | 15453 | |
Some Identities on the Generalized
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 293532, 6 pages
http://dx.doi.org/10.1155/2013/293532
Research Article
Some Identities on the Generalized q-Bernoulli, q-Euler, and q-Genocchi Polynomials
^1National Institute for Mathematical Sciences, Yuseong-daero 168... | 5 | [
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0.04028320312... | 15,454 | 15454 | |
Centripetal Force, Tension, Circular Motion
twotaileddemon
a) Explain how the students, by using a timer and the information given above, can determine the speed of the ball as it is revolving.
v = (2πr) / T
We are given the radius (.5 m) and if we have a timer, we can determine the period, or time required for the b... | 4 | [
0.0024871826171875,
0.045166015625,
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0.0625,
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0.01904296875,
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-0.00411987304... | 15,455 | 15455 | |
Solenoidal and conservative fields
hi homeomorphic!
i assume you don't have the ∂ or Λ symbols?
let's translate …
homeomorphic
Cartan's exterior calculus and De Rham cohomology sheds a lot of light on these things. Locally, every closed form is exact. Closed means its exterior derivative is zero. Exact means it i... | 4 | [
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Patent US7263088 - Signalling scheme for high speed downlink packet access
This invention relates to a method and system for signalling in a mobile communications network and more particularly to a method and system for an improved signalling scheme in using Hybrid
Automatic Repeat Request (HARQ) in High Speed Downlink... | 4 | [
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How to solve these?
For the first one, note that when you cross multiply, you get $p(p-3)=40\implies p^2-3p=40\implies p^2-3p-40=0$. This is now a quadratic equation which can easily be solved. For the second one, note
that when you cross multiply, you get $3(2w-3)=5w\implies 6w-9=5w$. This is now a linear equation whi... | 4 | [
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please if you know about elliptic integrals I NEED help!
September 17th 2008, 07:05 AM
minivan15
please if you know about elliptic integrals I NEED help!
[integral from 0 to pi/2] dx/SQRT(a - cosx)
(a >1)
I need to write this in terms of the elliptic integrals F
the elliptic integral of the first ... | 5 | [
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-... | 15,459 | 15459 | |
Translation Invariance of Integral
March 14th 2009, 12:39 PM #1
Member
Joined
Oct 2008
Posts
156
Translation Invariance of Integral
Theorem. Let $f$ be a real-valued function that is Riemann integrable on $[a,b]$. For a fixed $k \in \mathbb{R}$, let $g_k$ be the function $g_{k}(x) = f(x+k)$ where the dom... | 5 | [
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Integrals: Arc Length and hydrostatic force problem
June 21st 2010, 12:44 AM #1
Junior Member
Joined
Mar 2009
Posts
32
Integrals: Arc Length and hydrostatic force problem
Alright my first is to simply find the length of the curve of:
y = ln(sec x) from 0 to pi/4
the steps I have taken is the us... | 4 | [
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xample
pK[a] and K[a]
Author: Anders Nielsen | Ctrl-D saves this page.
Background information
The K[a] value is a value used to describe the tendency of compounds or ions to dissociate. The K[a] value is also called the dissociation constant, the ionisation constant, and the acid constant.
The pK[a] value is relate... | 5 | [
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Another chain rule question.
November 7th 2010, 04:38 AM #1
Another chain rule question.
Can you also check this out for me;
$y=e^a$
where $a=-x^2/2$
1... $dy/dx = dy/du \cdot du/dx$
2...where $y = e ^-^u$ and $u= - x^2/2$
3.... $dy/du=e ^-^u$ and $du/dx= -x$ <<<< can you explain how step... | 5 | [
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Project Euler
Quote:
If you have a modern C compiler you could check if it supports the "long long int" type. Also you can munge doubles to do the job. RonL
Quote:
Well the 10001 prime problem is trivial if you already have tools for handling
primes. First the 10001st prime ~ 100000 so it is well... | 5 | [
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0... | 15,464 | 15464 | |
Slide Rule Operations
Things got a little fuzzy for me when he made us do the math to convert the linear meter stick scale to a logarithm scale. But when I realized the only thing that changed was the scale on the
sticks, I was back on track.
I never did like logarithms, but I got really good at using a sl... | 4 | [
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Permutation - 7 identical items, 32 distinct containers
Joffan
No, it's 10c7 = 10c3. Remember we're modelling this with bin dividers, and for 4 bins there are 3 dividers.
You're correct, not sure why I got that mixed up.
r items into n containers is (n+r-1)c(r) = 10c7 = 120, if none empty, then (r-1)c(n-1) = 6c3 =... | 4 | [
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Patent US20030044014 - Method for scrambling a calculation with a secret quantity
BACKGROUND OF THE INVENTION
[0001] 1. Field of the Invention
[0002] The present invention relates to the protection of a secret key or datum (binary word) used in a process of authentication or identification of an electronic circuit (f... | 4 | [
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A Different Kind of Pi
In my last post I left my readers (Hi Mom!) with a teaser about a possible improvement to my pi-calculating code. Let’s see how it panned out.
My naïve arc-drawing code used two square-root calculations per point – pretty slow. I figured that there must be a quicker version out there, and sure ... | 5 | [
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Average Value of a Function
April 4th 2010, 11:26 PM #1
Newbie
Joined
Jan 2010
Posts
17
Average Value of a Function
I'm working on a school assignment and need someone to check it.
Thanks!
The growth rate for a 24-hour period of a bacteria colony is measured to be r(t)=96e^(.24t), where r(t) is ... | 5 | [
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Markov inequality
January 26th 2011, 01:03 AM
jovial
Markov inequality
Dear All
I have problem with the following inequality
Let $f = f(x)$ be a nonnegative even function that is strictly increasing for positive $x$. Then for a random variable $\xi$ with $|\xi(\omega)|\leq C$.
$\frac{{Ef(\xi ) - f(... | 4 | [
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Patent US6816811 - Method of intelligent data analysis to detect abnormal use of utilities in buildings
CROSS-REFERENCE TO RELATED APPLICATIONS
This is a continuation in part of U.S. patent application Ser. No. 09/886,920 filed on Jun. 21, 2001.
STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT
Not App... | 4 | [
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Help with reduced row echelon form/solving system
March 22nd 2009, 07:48 PM
Murphie
Help with reduced row echelon form/solving system
Im stuck on this problem:
Use reduced row echelon form to solve the system:
2x+3y-12z=1
x-2y+z=4
4x+y-14z=7
Im stuck after many steps here, no idea if this i... | 4 | [
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Probably Stupid, but trouble with Proofs.
November 6th 2008, 10:03 AM
Savior_Self
Probably Stupid, but trouble with Proofs.
it's a two-column proof problem...
says prove Line AD is congruent with line BC.
http://img383.imageshack.us/img383/8...elagramym0.jpg
Statement | Proof
AD parallel with BC... | 4 | [
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Math Help
September 1st 2007, 11:43 PM #1
Newbie
Joined
Sep 2007
Posts
9
force vector
I am currently studying vectors and i have a big confusion about something..
There are questions in the section such as:
A yacht is sailing at a speed of 34 knots and a wind encounters from the south east, fin... | 4 | [
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... | 15,474 | 15474 | |
y' = 1 - y^2 Nonlinear 1st order ODE help
October 23rd 2010, 08:34 PM
weedingb
y' = 1 - y^2 Nonlinear 1st order ODE help
Hi,
I'm trying to solve y' = 1 - y^2.
Using partial fractions I ended up with y = (Ae^2x - 1)/(Ae^2x +1). However, this differs to an answer I was given by someone else. Am I correct?... | 4 | [
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Basic Topology
1) If
is open then every point of
is an interior point of
. Clearly then no point of
may be a boundary point of
so that it follows that
. Conversely, suppose that that
, then no point of
is a boundary point of
. Thus, for every
we must have that there exists some neighborhood of
, which we'll ... | 4 | [
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European Options
European options provide the fundamentals from which other options can be valued. We look at the foundations behind the Black-Scholes model, its pitfalls and how the framework can be applied to
valution of exotic options.
Black-Scholes (No Dividends) || Black-Scholes-Merton (Continuous Dividends)... | 4 | [
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Show that x^5 + y^5 |= z^5 if x,y,z are integers which are not divisible by 5.
March 17th 2012, 07:12 AM #1
Junior Member
Joined
Mar 2011
Posts
72
Show that x^5 + y^5 |= z^5 if x,y,z are integers which are not divisible by 5.
Suppose that $x,y,z$ are integers, none of which is divisible by $5$.
Show ... | 5 | [
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Help Find Domain
What is the domain of the function? http://www.webassign.net/cgi-bin/sym...3%20x%20%29%20 and http://www.webassign.net/cgi-bin/sym...20x%20-%201%29
You cannot take the square root of a negative number and you cannot have 0 as a denominator. For what values of x are the expressions in side the square r... | 4 | [
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Positive definite symmetric matrix has LDL^T decomposition with positive diagonals
March 19th 2013, 05:50 AM #1
Junior Member
Joined
Mar 2011
Posts
72
Positive definite symmetric matrix has LDL^T decomposition with positive diagonals
QUESTION:
Let $G$ be an $n \times n$ matrix with a factorization $... | 5 | [
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alternative hypotheses
June 30th 2009, 04:57 PM
chromium
alternative hypotheses
Grades for 2 classes, X and Y
X:78,89,81,94,60,67,51,73,90,93,81,68,45,100,60,10 2,95,87,85,96,77,79,55,89,86,75,85,76,95,84
I calculated $\bar{x}=79.866667$, $s^{2}_{x}=216.46$ and n=30
Y:65,95,94,72,56,87,89,28,71,78... | 5 | [
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ati
Generating correlated normal variates
Author
Keywords
covariance matrices, Matlab, R, random numbers, random variables
Review Status
Unreviewed
Overview
For many applications in econometrics and finance one needs to create random variates that are correlated. Unfortunately, methods to create such random numb... | 5 | [
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... | 15,482 | 15482 | |
Multiple Integration Volume
July 30th 2006, 06:52 PM #1
Junior Member
Joined
Jul 2006
Posts
43
Multiple Integration Volume
Any help greatly appreciated.
Find the volume of the solid under the surface z=(8+x)(8+y) and above the region in the xy-plane given by (x^2)+(y^2) less than or equal to 36.
... | 4 | [
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Related Rates and Tangents?
December 16th 2009, 08:47 PM #1
Newbie
Joined
Oct 2009
Posts
7
Related Rates and Tangents?
1) So this is our first hw with related rates and I am having some trouble with this one. It is basically a right triangle, with the horizontal, or x, equalling 100. It says that a perso... | 5 | [
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Commutators, sort of.
October 26th 2007, 10:39 PM #1
Member
Joined
Jun 2006
From
San Diego
Posts
101
Commutators, sort of.
All right here's my latest one that's already consumed a healthy stack of papers trying to work out. This one is on p.106 of Hungerford's Algebra text, #3(a).
If H and K are... | 4 | [
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0.01208496... | 15,485 | 15485 | |
GMAT Overlapping Sets
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... | 4 | [
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-0.... | 15,486 | 15486 | |
Simple Analysis Question: Showing a Set is Closed
micromass
Yes. So take a convergent sequence [itex](x_n)_n[/itex] in A. We know that we can write [itex]x_n=d(x,y_n)[/itex] for some [itex]y_n\in S[/itex]. Can you show that the [itex](y_n)_n[/itex] is Cauchy?
How about this: Since [itex](d(x, y_n))[/itex] is conver... | 5 | [
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0.0... | 15,487 | 15487 | |
repeated eigenvalue general solution problem
January 23rd 2007, 12:09 AM
OkashiiKen
repeated eigenvalue general solution problem
Hello all,
I am having trouble solving this repeated eigenvalue problem.
$<br /> x'=\left|\begin{array}{ccc}0&1&1\\1&0&1\\1&1&0 \end{array} \right|{x}$
solving for the e... | 5 | [
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-0.01... | 15,488 | 15488 | |
Need help understanding how this was simplified. Fraction with multiple square roots
December 11th 2012, 08:27 PM #1
Newbie
Joined
Sep 2012
From
Ohio
Posts
14
Need help understanding how this was simplified. Fraction with multiple square roots
$\frac{\sqrt{x^2-9}-[x(\frac{1}{2}(x^2-9)(2x)]}\sqrt({x^2... | 4 | [
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What Is a Manometer? | The Classroom | Synonym
A manometer may be any device that measures pressure. However, unless otherwise qualified, the term "manometer" most often refers specifically to a U-shaped tube filled with fluid. This type of
manometer can be easily built as part of a laboratory experiment to demonstrate... | 4 | [
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Probability Q Again..
September 5th 2007, 01:37 AM #1
Newbie
Joined
Aug 2007
Posts
5
Probability Q Again..
Hi >.<
I got another Q:
The number showing on the upper faces when 2 fair six-sided dice are tossed, is observed. Consider events A and B
A- the total score is at most 5
B- at lea... | 4 | [
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Transfer Function Models with Time-Varying Coefficients
Journal of Probability and Statistics
Volume 2012 (2012), Article ID 451076, 31 pages
http://dx.doi.org/10.1155/2012/451076
Research Article
Transfer Function Models with Time-Varying Coefficients
^1Department of Statistics, Federal University of São Carlos, 13... | 4 | [
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Patent US4224678 - Method and apparatus for implementing a processor based on the rationalized Haar transform for the purpose of real time compression of video data
This application is a continuation in part of our application Ser. No. 559,246, filed Mar. 17, 1975, now abandoned.
BACKGROUND OF THE INVENTION
The trend... | 4 | [
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Work Applications of Calculus
April 27th 2013, 06:28 PM #1
Newbie
Joined
Apr 2013
From
US
Posts
2
Work Applications of Calculus
I have a few questions in my Calculus class that I really need help understanding. I don't know much about these work problems; I never took physics. I appreciate any help a... | 5 | [
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Calculate!
January 21st 2010, 10:33 PM
Punch
Calculate!
Given that $\frac{cos(A-B)}{cos(A+B)}=\frac{7}{5}$, prove that $cosAcosB = 6sinAsinB$ and deduce a relationship between $tanA$ and $tanB$. Given further that $A+B=45^\circ$, calculate the value
of $tanA+tanB$.
I have already proved the equation.
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Bessel function ??
You need to mess around with the series for the Bessel function of the first kind: $J_n(x) = \displaystyle\sum\limits_{m=0}^{\infty}\dfrac{(-1)^m x^{2m+n}}{2^{2m+n}m!\Gamma(m+n+1)}$ Clearly, $J_{-n}
(x) = \displaystyle\sum\limits_{m=0}^{\infty}\dfrac{(-1)^m x^{2m-n}}{2^{2m-n}m!\Gamma(m-n+1)}$ Now, ma... | 4 | [
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conjugacy question abstract algebra
March 12th 2013, 03:03 PM
henderson7878
conjugacy question abstract algebra
If x~_c y in a group G, show that x and y have infinite order or o(x)=o(y)
(Note: the relation x~_c y is called conjugacy, and as for any equivalence relation, the set G is partitioned by its equ... | 5 | [
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Question about Acceleration
April 2nd 2007, 10:15 AM #1
Suppose I was asked to find the Maximum acceleration of particle given the equation:
s(t) = -16t^2+7t+2
I know that
Velocity:
v(t) = -32t+7
and that
Acceleration
a(t) = -32
But how would I Maximize it? I know that when ... | 5 | [
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Frisbee physics problem
Doc Al
Yes. It slides up the roof, so it moves along the incline of the roof.
Find the net force on the frisbee as it slides up. Then you can find the acceleration and its speed as it flies off.
I would assume that the frisbee loses no speed when it hits the roof--its speed when it begins s... | 5 | [
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