content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Differentiation! Please help!
November 28th 2008, 01:59 PM #1
Newbie
Joined
Nov 2008
Posts
22
I'm working on Survey of Calculus.
Please help!
Evaluate dy/dt for the function at the point.
x^3 e^y - y^3 ln x = 7; dx/dt = 2, x = 1, y = 3
Last edited by Matho; November 28th 2008 at 03:46 P... | 5 | [
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Patent US20080309529 - Sigma Delta Modulators
This invention relates to sigma delta modulators.
Sigma delta modulation is a popular method of converting electrical signals from analogue to digital form, and vice versa. Such a modulation technique typically involves converting an analogue
electrical signal into a low-b... | 4 | [
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0.01953125,
0.0483398437... | 16,301 | 16301 | |
Patent US5740276 - Holographic method for encrypting and decrypting information using a fingerprint
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to optical methods of encryption and decryption of information.
2. Description of the Related Art
The secure storage of information which c... | 4 | [
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spherical shell
April 3rd 2008, 07:44 PM
heathrowjohnny
spherical shell
Find the electric field inside a sphere which carries a charge density proportional to the distance from the origin, $\rho = kr$, for some constant $k$.
So $\oint \bold{E} \cdot d \bold{a} = \frac{Q_{\text{enc}}}{\epsilon_{0}}$.
An... | 4 | [
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0.0322265625... | 16,303 | 16303 | |
Trigonometric equation
Solve the trigonometric equation for the exact values of x, 0<x<2Pi 2cos(squared) xtanx-tanx=0
$2\cos^2 x \tan x - \tan x = 0$ $\Rightarrow (\tan x)(2\cos^2 x - 1) = 0$ $\Rightarrow (\tan x)(\cos 2x) = 0$ (identity $2\cos^2 x - 1 = \cos 2x$) To solve the equation, find the solutions for $\cos
2x... | 4 | [
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Is this correct?
October 1st 2009, 12:15 PM #1
Member
Joined
Sep 2009
Posts
162
Is this correct?
I was assigned homework for the long weekend. I was asked to answer the following question:
Factor Completely: $(2x^4-11x^3+12x^2+x-4)$
I got $(x-1)$ as a factor. Then I divided $(2x^4-11x^3+12x^2+x... | 4 | [
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... | 16,305 | 16305 | |
Two study questions
November 3rd 2009, 08:12 PM #1
Two study questions
Q1: An urn contains 3 black, 4 red, and 5 white balls. Three balls are randomly drawn one at a time without replacement.
a. Find the probability all three balls are of the same color.
b. How many balls would you expect to be black or w... | 5 | [
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Physics Forums - View Single Post - The speed of sound of the inflaton field
The problem is that the literature often uses [itex]c_{\rm{s}}^2[/itex] to mean two different things, sometimes simultaneously. Looking at things from a thermodynamic perspective, one can write
[itex]P=P(\rho,S)[/itex], and then perturb to gi... | 4 | [
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Math Help
May 9th 2008, 09:49 AM #1
Member
Joined
Feb 2008
Posts
79
Qm
Hey topsquark,
Huge Quantum exam tomorrow! Few practice probs I didn't understand:
1.) Suppose that an atom in a solid is described by $H = H_0 + \beta x^2$, where $H$ is the hamilotonian, and $H_0 ~\mbox{is the simple harm... | 5 | [
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-0.... | 16,308 | 16308 | |
System of Linear Equations - Two Variable - Distance Time Speed Question
December 16th 2010, 11:37 AM #1
Newbie
Joined
Dec 2010
Posts
2
System of Linear Equations - Two Variable - Distance Time Speed Question
hey im stumped at developing a formula for this question:
Chris walks at 8 km/h and runs at ... | 4 | [
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Basis of a subspace?
Alex6200
1. The problem statement, all variables and given/known data
Find a basis for the subspace of R3 for which the components in all of the vectors sum to zero.
2. Relevant equations
If u and v are in w and w is a subspace, then a*u + b*v is in w.
3. The attempt at a solution
w = {v in... | 5 | [
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... | 16,310 | 16310 | |
Combinatorics TRUE/FALSE
October 12th 2007, 01:35 AM #1
Member
Joined
Oct 2007
Posts
145
Combinatorics TRUE/FALSE
Given 5 balls, how many ways are there to place them in 3 boxes?
(There are no limitations, i.e. one box can contain all 5, while the rest can contain none.)
Letting the number of ba... | 4 | [
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Quadratic Functions Question - Find in Form of y = ax2 + bx + c
December 1st 2011, 03:51 AM #1
Newbie
Joined
Dec 2011
Posts
4
Quadratic Functions Question - Find in Form of y = ax2 + bx + c
Hey All
Got a test tomorrow, I'd appreciate some help. I'm pretty good in math but I just don't get these ques... | 4 | [
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Product of Lebesgue integrable functions...
May 16th 2011, 06:57 PM #1
Junior Member
Joined
May 2009
Posts
54
Product of Lebesgue integrable functions...
Let f $\f \in {L^4}\left( R \right),g \in {L^5}\left( R \right)\$ . Check the following:
1) $fg\fg \in {L^{20/9}}(R)\$
2) $\[fg otin {L^6}\le... | 4 | [
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Isospin decomposition of K->ππ decay
Well, how about this, the Clebsch-Gordan coefficients give
|0> = √(1/3)(|1,-1> + |-1,1> - |0,0>)
|2> = √(1/6)(|1,-1> + |-1,1>) + √(2/3) |0,0>
Let K^0 decay into the state Φ ≡ B[0]|0> + B[2]|2>
= √(1/3)(|1,-1> + |-1,1>)(B[0] + √(1/2)B[2]) - √(1/3)|0,0>(B[0] - √2B[2])
Rescaling A... | 5 | [
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Discrete Math, Please Help!!
March 20th 2008, 09:31 AM #1
Newbie
Joined
Feb 2008
Posts
7
Discrete Math, Please Help!!
Prove the sets A and B defined below are equal.
A = {(a, b) is a member of Z+ × Z+|a is a factor of b}
B is defined recursively by
Initial Step: (1, 1) is a member of B
... | 4 | [
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Existence Results for a Coupled System of Nonlinear Singular Fractional Differential Equations with Impulse Effects
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 498781, 21 pages
http://dx.doi.org/10.1155/2013/498781
Research Article
Existence Results for a Coupled System of Nonlinear Singular F... | 5 | [
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-0.0... | 16,316 | 16316 | |
Patent US6470309 - Subframe-based correlation
This application claims priority under 35 USC § 119(e) (1) of provisional application No. 60/084,821, filed May 8, 1998.
TECHNICAL FIELD OF THE INVENTION
This invention relates to method of correlating portions of an input signal such as used for pitch estimation and voic... | 4 | [
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... | 16,317 | 16317 | |
Transitive
September 11th 2007, 08:05 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Transitive
Prove that the notion of group isomorphism is transitive.
My proof so far:
Suppose G, H, and K are groups.
Let the function f be the isomorphism from G onto H, then $f(g_{1}g_{2})=f(h... | 4 | [
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Interview questions
MarcoD
If you write down a tree, you can see you're calculating the limit of:
[tex](\frac{1}{6} + ... + \frac{6}{6}) + \frac{3}{6}((\frac{1}{6} + ... + \frac{6}{6})+ \frac{3}{6}((\frac{1}{6} + ... + \frac{6}{6})+ ... ))[/tex]
Actually, for completeness, let's see where you're reasoning -half a ... | 5 | [
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0.017822... | 16,319 | 16319 | |
Probability Distribution
April 26th 2006, 03:37 PM #1
Junior Member
Joined
Jan 2006
Posts
29
Probability Distribution
I have no idea if this is right....
for a i get .021%
for b i get 3
for c i get 24.38%
please help asap!
Let me remind the binomial probability formula, an event $m$ ... | 5 | [
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0.099609375,
0.0019073486328125,
0.009338378... | 16,320 | 16320 | |
Calculate the mass M of the truncated cone
July 17th 2012, 06:10 AM #1
Newbie
Joined
Jul 2012
From
germany
Posts
5
S={(x ,y ,z) ЄR³ : x² + y² ≤ (2-z)² , 0 ≤ z ≤ 1}
with variable density(x, y, z)= -ln(z)/√x² + y²
I have no clue how to do this...please help...
Re: Calculate the mass M of the... | 5 | [
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-0.03564453125,
-0.03881835... | 16,321 | 16321 | |
Substitution Homomorphism from F[x,y] to F[t]
July 15th 2011, 07:12 PM #1
Newbie
Joined
Jun 2011
Posts
4
Substitution Homomorphism from F[x,y] to F[t]
Hello everyone. I have been struggling with the following problem from "Algebra An Approach via Module Theory" by Adkins and Weintraub.
Let F be a fi... | 5 | [
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0.020263671875,
... | 16,322 | 16322 | |
ln and ex log questions
December 17th 2006, 10:37 AM
SportfreundeKeaneKent
ln and ex log questions
Here are some ln (lawn) and e^x questions. I'm still learning these so I'm not so good at solving thema and these ones are hard so I was wondering if anyone can help.
http://img329.imageshack.us/img329/3...p14... | 4 | [
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Physics TEST2
Test Exercises for Chapter 2, for Fun and Profit
by
... | 4 | [
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0.0573730... | 16,324 | 16324 | |
Why do we use anti-derivatives to find the values of definite integrals?
Mark44
The Fundamental Theorem of Calculus...
1. that differentiation and antidifferentiation are essentially inverse processes
$$ \frac{d}{dx} \int_a^x f(t)~dt = f(x)$$
2. how to evaluate a definite integral using the antiderivative of the in... | 5 | [
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0.033935546875,
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0.04... | 16,325 | 16325 | |
Theory Group_ZF_2
(*
This file is a part of IsarMathLib -
a library of formalized mathematics for Isabelle/Isar (ZF logic).
Copyright (C) 2005, 2006 Slawomir Kolodynski
This program is free software; Redistribution and use in source and binary forms,
with or without modification, are permitted pr... | 4 | [
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0.011840... | 16,326 | 16326 | |
Euler problems/11 to 20
From HaskellWiki
< Euler problems
(Difference between revisions)
← Older edit (rv: vandalism)
Newer edit →
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− Do them on your own! + == [http://projecteuler.net/index.php?section=problems&id=11 Problem 11] ==
... | 5 | [
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Generalized and contrapositive form of Pigeonhole principle and a math problem
August 27th 2011, 09:54 AM
x3bnm
Generalized and contrapositive form of Pigeonhole principle and a math problem
A math problem:
There are $42$ students who are to share $12$ computers. Each student uses exactly $1$ computer and n... | 4 | [
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... | 16,328 | 16328 | |
Piecewise initial value Laplace
November 22nd 2009, 01:06 PM #1
Junior Member
Joined
Nov 2008
Posts
65
Piecewise initial value Laplace
Here is the question:
y'' + 64y = {P
P =
2t, 0<=t<2
0, t>=2
y'(0) = 0
y(0) = 0
Find the equation you get by taking the Laplace transform o... | 4 | [
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Patent US7405736 - Efficient perceptual/physical color space conversion
CROSS REFERENCE TO RELATED APPLICATIONS
This application is a divisional of U.S. Patent Application No. 09/780,325, filed Feb. 9, 2001, entitled, “EFFICIENT PERCEPTUAL/PHYSICAL COLOR SPACE CONVERSION” which is a continuation in part of
U.S. Patent... | 4 | [
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0.10... | 16,330 | 16330 | |
Patent US7848796 - Division approximation for implantable medical devices
RELATED APPLICATION
This application is a divisional of U.S. patent application Ser. No. 10/976,474, filed Oct. 29, 2004, which is hereby incorporated herein by reference in its entirety.
FIELD OF THE INVENTION
The present invention is related... | 4 | [
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Patent US6765525 - Method for reducing false alarm rate in radar images
The invention relates to a method for reducing the false alarm rate on moving targets in radar images of two or multi-channel MTI radar devices of the type using space time adaptive processing.
BACKGROUND AND SUMMARY OF THE INVENTION
This applica... | 4 | [
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solving optimization word problem?
February 1st 2011, 02:56 PM #1
Newbie
Joined
Feb 2010
Posts
4
solving optimization word problem?
Need help solving please
A rectangular banner has a red border and a white center. The banner has an 8 inch border at the top and the bottom, and it has a 6 inch border... | 5 | [
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0.0223388... | 16,333 | 16333 | |
Finding the derivative of exponentnial functions.
March 12th 2013, 09:21 AM #1
Member
Joined
Oct 2011
Posts
153
Finding the derivative of exponentnial functions.
Hi, I'm having a little trouble of finding the derivative of something like this:
y=e^-2x + (x^2)
So I'm a bit confused.
Like my ... | 5 | [
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Calculating List Price
October 20th 2011, 10:33 AM #1
Newbie
Joined
Oct 2011
Posts
2
Calculating List Price
Guys I've started maths after a long time so having a few problems here.
I have a question,
A wholesaler wants to establish a list price for an item so that his selling price gives a trad... | 4 | [
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... | 16,335 | 16335 | |
Random Variable
September 26th 2008, 01:48 PM
weakmath
Random Variable
1. Suppose that X ~ N (mu, sig^2). Show
((x-mu)/sig)^2 ~ Gamma(1/2, 1/2.) = Ki-square subscripte 1
2. Suppose that X1,X2.... Xm are iid N(mu, sig^2). Show that
summation i = 1 to n ( (Xi - mu)/sig)^2 ~ Ki-square subscript n
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De Morgan's second law
October 7th 2008, 12:00 PM #1
Newbie
Joined
May 2007
Posts
8
De Morgan's second law
Hi,
how do I prove De Morgan's second law $(AB)^c = A^c \cup B^c$ by using De Morgan's first law: $(E \cup F)^c = E^c F^c$
Thanks!
I do not know the why you have them numbered.
He... | 4 | [
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Field of characteristic p. automosphism.
May 6th 2012, 08:18 AM
abhishekkgp
Field of characteristic p. automosphism.
Let $F$ be a field of characteristic $p eq 0$. Let $K$ be an extension of $F$. Define $T= \{ a \in K : a^{p^n} \in F \text{ for some } n \}$.
a) Prove that $T$ is a subfield of $K$.
b) Sho... | 5 | [
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Amenable groups of finite cohomological dimension
up vote 7 down vote favorite
4
I seek an example of an amenable group of finite cohomological dimension that is not virtually polycyclic and has finite abelianization.
Remarks.
1. Elementary amenable groups of finite cohomological dimension are virtually solvable.
... | 5 | [
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[SOLVED] Completing the Square
May 28th 2010, 02:54 PM #1
Newbie
Joined
May 2010
Posts
2
[SOLVED] Completing the Square
Hi all, this is my first post here.
Ok, I'm using a math program in college (I forgot everything I learned in highschool math and am retaking courses to get up tp speed) for some a... | 4 | [
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Differentiation: Tangents and Normals help please
October 29th 2008, 10:11 AM
Gregory
Differentiation: Tangents and Normals help please
I have looked through loads of various notes and stuff and I'm sure I'm doing nothing wrong but my textbook keeps telling me I'm wrong.
Can someone help me with these two q... | 4 | [
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Area of a Baseball Infield Using Riemann Sums
May 19th 2012, 06:13 AM #1
Newbie
Joined
May 2012
From
Texas
Posts
1
Area of a Baseball Infield Using Riemann Sums
Hello everyone, i'm a pre-cal student. Starting calculus as we approach the end of the year and i'm stumped on this extra credit probl... | 5 | [
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I need help with quadratics and indicies?
August 26th 2012, 06:30 AM
Tabitha
I need help with quadratics and indicies?
Factorise: x^2+3xy+2y^2
I was really confused about this one because of the 2y^2
at the end instead of a number so I ended up with this:
= (x + 2y^2)^2 - (xy - 2y^2)
Because
... | 4 | [
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Why Divide in Permutations of Indistinguishable Objects?
November 11th 2012, 05:16 PM #1
Newbie
Joined
Nov 2012
From
United States
Posts
5
Why Divide in Permutations of Indistinguishable Objects?
I was explaining Combinatorial Analysis to a friend who had never had it, and when I got to Permutations ... | 5 | [
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Patent US4935962 - Method and system for authentication
CROSS-REFERENCE TO RELATED APPLICATION
This is a continuation-in-part of U.S. application Ser. No. 331,788, filed Apr. 3, 1989, now abandoned.
BACKGROUND OF THE INVENTION
This invention relates to the authentication of entities and messages.
It is a common req... | 4 | [
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IntroductionDesign ConceptStructure of the Z-Axis Multi-Fork Gyroscope and Working PrincipleDesign RulesSimulationStructure SimulationSensitivity of the Quartz GyroscopeFabrication and Signal DetectionFabrication ProcessImpedance TestingSignal DetectionPerformance TestingConclusionsConflicts of InterestReferencesFigure... | 4 | [
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proof by contradiction
July 1st 2009, 07:53 AM #1
Banned
Joined
Jul 2009
Posts
107
proof by contradiction
given a set with the symbols :
" + " for addition
" - " for inverse
the constants :
0
AND the axioms:
for all a,b,c : a+(b+c) = (a+b) + c
for all a : a+0 = a
for all a... | 4 | [
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0.01171... | 16,347 | 16347 | |
Graph x^2-4x+3
Well, I think it was in fifth grade where they taught me to make a list of x y values:
x y= x^2- 4x+ 3
0 3
1 1- 4+ 3= 0
-1 1+ 4+ 3= 8
2 4- 8+ 3= -1
-2 4+ 8+ 3= 15
3 9- 12+ 3= 0
-3 9+ 12+3= 24
etc, mark the points (0,3), (1, 0), (-1, 8), (2, -1), (-2, 15), (3, 0), (-3, 24) and then draw a smooth curve th... | 4 | [
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-... | 16,348 | 16348 | |
Greatest Common Divisors
May 14th 2013, 09:53 AM #1
Banned
Joined
Aug 2010
Posts
961
Thanks
98
Greatest Common Divisors
Show that, for any positive integers a,b the set of all ma+nb (m,n positive integers) includes all multiples of (a,b) larger than ab.
This problem is from a section on the inte... | 5 | [
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Frustrating Bernoulli Equation
1d20
A final question: I thought all integrating factors must have the p(x) part integrated, but this seems to be an exception. How come?
The way I did it is a standard method, but maybe you haven't learned it yet. This logic behind it is:
For a linear equation like this one, any sol... | 5 | [
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Pattern Problem
October 3rd 2011, 10:08 AM #1
Junior Member
Joined
Oct 2008
From
Maine
Posts
70
Pattern Problem
I just covered arithmetic sequences and how to develop algebraic rule for the pattern to prepare my 7th graders for their state test. The next question they faced was similar, but it wasn't... | 4 | [
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differentiation
hey maths forum! how do you differentiate the following: $y = tan^-1(\frac{1+tanx}{1-tanx})$ thanks
The derivative of arctan is $\frac{1}{x^{2}+1}$ Using the chain rule: $\frac{1}{(\frac{1+tan(x)}{1-tan(x)})^{2}+1}\cdot\frac{d}{dx}\left(\frac{1+tan( x)}{1-tan(x)}\right)$ $\frac{1}{(\frac{cos(x)+sin
(x)... | 5 | [
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optimization question
March 28th 2009, 09:20 PM #1
Newbie
Joined
Mar 2009
Posts
9
optimization question
please help me with thus questions.
1) A rectangle study area is to be enclosed by a fence and divided into two equal parts, with a fence running along the division parallel to one of the sides. I... | 5 | [
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-0.... | 16,353 | 16353 | |
largest possible perimeter
January 7th 2010, 08:50 PM #1
Member
Joined
Apr 2009
From
california
Posts
121
largest possible perimeter
Three non-overlapping regular plane polygons, at least two of which are congruent, all have side length 1. The polygons meet at a point A in such a way that the sum of ... | 4 | [
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0.045166015625,
-0.0595703125,
-0.0063781738281... | 16,354 | 16354 | |
Constant and nonconstant growth valuation
September 20th 2009, 03:41 PM #1
Newbie
Joined
Sep 2009
Posts
1
Constant and nonconstant growth valuation
Can someone please help me, i am stumped on these 2 problems? Thanks.
1-A company currently pays dividnd of $2 per share. It is estimated that the conpn... | 5 | [
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Showing Transformation is True
September 22nd 2010, 04:04 PM #1
Showing Transformation is True
I'm confused by this question:
A transformation
T
in the plane consists of a reflection in the line x + y = 0 followed by a translation in which the point (x,y) is transformed to the point (x+h,y+k).
... | 5 | [
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Efficient 3D sensitivity analysis of surface plasmon waveguide structures
« journal navigation
Efficient 3D sensitivity analysis of surface plasmon waveguide structures
Optics Express, Vol. 16, Issue 21, pp. 16371-16381 (2008)
http://dx.doi.org/10.1364/OE.16.016371
Abstract
We present a novel analytical approach fo... | 4 | [
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hysicsmynd
Physicsmynd Online Video Classes for IIT JEE / CET Main & Advanced 2013 & 2014 now available . Chemistry & Mathematics are the new additions .
Due to the constant interest and enquiry from our esteemed student community we have restarted online video coaching for IIT JEE / CET Main & Advanced 2013 and 2014.... | 4 | [
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Implies sign
May 25th 2011, 03:17 AM #1
Member
Joined
May 2011
Posts
169
Implies sign
I often have trouble understanding why A $\Rightarrow$ B means A only if B and also why the contapositive is equivalent. Can anyone give me some tips or useful ways of thinking about it? Thanks
$A \Rightarrow B$ me... | 4 | [
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A Model of Numerical Calculation of Conductivity for III-V MBE Epilayers Using a Hall Device
Journal of Materials
Volume 2013 (2013), Article ID 260982, 16 pages
http://dx.doi.org/10.1155/2013/260982
Research Article
A Model of Numerical Calculation of Conductivity for III-V MBE Epilayers Using a Hall Device
^1Insti... | 4 | [
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Differentiation Problem
March 31st 2010, 09:44 AM #1
Newbie
Joined
May 2008
Posts
16
Differentiation Problem
Let $a>b>0$ and let $n\in\mathbb{N}$ satisfy $n\geq 2$ . Prove that $a^{1/n} - b^{1/n} < (a-b)^{1/n}$
I am given the following hint:
Show that $f(x) := x^{1/n} - (x-1)^{1/n}$ is decreasin... | 5 | [
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-0... | 16,361 | 16361 | |
Math Question
Thanks for the help guys. Notice that the numbers 5 and 7 are prime factors of 35. What I am actually trying to do find is to find a general method to solve these systems of equations, if possible,
for numbers Cp that are composites of two odd prime numbers.
sin(pi*t) = 0
sin(pi*(t^2 + Cp)/(2*t)) = 0
(... | 4 | [
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f differentiable implies f' continuous.
March 31st 2011, 07:42 AM #1
Newbie
Joined
Feb 2011
Posts
15
f differentiable implies f' continuous.
Suppose that f is differentiable on (a, b) and that f ' is increasing on (a, b). Prove that f ' is continuous on (a, b).
I'm actually at a lost on how to do t... | 5 | [
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Math Help
November 17th 2010, 06:51 PM #1
Member
Joined
Aug 2008
Posts
225
Steady States
What are the limits as k -> infinity of the following:
[.4 .2; .6 .8]^k[1; 0]
[.4 .2; .6 .8]^k[0; 1]
[.4 .2; .6 .8]^k
I think the first two go to [1; 0] and the last goes to [0 0; 0 0], but am no... | 5 | [
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... | 16,364 | 16364 | |
How many equivalent classes there are?
June 26th 2011, 08:12 AM #1
Member
Joined
May 2009
Posts
146
How many equivalent classes there are?
$\forall a, b \in \mathbb{R}$, $a\sim b$ iff $a$ and $b$ differ in finitely many digits. (So for example $3.14\sim 502.441$ but $3.14sim \pi$). Then this equivalent r... | 5 | [
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Patent US7392031 - Method for cancelling a narrow-band interference signal
This invention relates in general to the field of radio communications and more specifically to interference cancellation/suppression of a narrow band interferer in a wide band communication device.
Wireless computing has experienced an enormou... | 4 | [
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... | 16,366 | 16366 | |
Geometric Curvatures of Plane Symmetry Black Hole
Advances in High Energy Physics
Volume 2013 (2013), Article ID 734138, 8 pages
http://dx.doi.org/10.1155/2013/734138
Research Article
Geometric Curvatures of Plane Symmetry Black Hole
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
Receiv... | 4 | [
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Self-accelerating optical beams in highly nonlocal nonlinear media
« journal navigation
Self-accelerating optical beams in highly nonlocal nonlinear media
Optics Express, Vol. 19, Issue 24, pp. 23706-23715 (2011)
http://dx.doi.org/10.1364/OE.19.023706
Abstract
We find self-accelerating beams in highly nonlocal non... | 4 | [
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-... | 16,368 | 16368 | |
Chaos and Dynamical Systems
May 22nd 2011, 03:06 AM #1
Senior Member
Joined
Oct 2008
Posts
393
Chaos and Dynamical Systems
The equation $P_n_+_1 = rP_n(1-P_n/C) -k$ may be considered a density - dependent population model with constant harvesting. If the growth rate is r = 3 and the carrying capacity is ... | 5 | [
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0.0197753906... | 16,369 | 16369 | |
Predicting the PCSs from the TESs
11-29-2007, 06:10 PM #1
Predicting the PCSs from the TESs
Here are four fomulas, based on the ladies LP at 2007 Worlds. (The r vales range from .76 to .79.)
1. Total PCS = .75 x (Total TES) + 13.
2. Total PCS = 39 x Ln(Total TES) - 102. (Ln is the natural logarithm.)
... | 5 | [
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Electric field of a square's edges
1. The problem statement, all variables and given/known data
Find the electric field a distance z above the center of a square loop (side s) carrying a uniform line charge λ (see Figure 1) - it's problem 2 on this page:
http://teacher.pas.rochester.edu/PHY...eworkSet3.html 3. The at... | 4 | [
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-0.0629882812... | 16,371 | 16371 | |
Have I graphed this complex equation correctly?
November 19th 2011, 10:32 PM
terrorsquid
Have I graphed this complex equation correctly?
Find and graph all $z \in \mathbb{C}$ that satisfy the equation $|z-2i|=|z+1|$.
So, I am finding the values where the distance from z to 2i is the same as the distance fro... | 4 | [
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Patente US4734839 - Source volt-ampere/load volt-ampere differential converter
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to power converters, (source V-A/load V-A) of the DC-DC switchmode converter family. In particular, the invention relates to DC-DC switchmode converters of the com... | 4 | [
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0.135742... | 16,373 | 16373 | |
Linear Transformation Question
1. March 3rd 2009, 12:59 PM #1
2. March 4th 2009, 01:51 PM #2
Hi
Rotations are invertible, their inverse being the rotation by the opposite angle about the same axis.
So $T_2.T_1=T_1.T_2\ \Leftrightarrow\ T_1^{-1}.T_2.T_1=T_2$
Observe the action on ... | 5 | [
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Lagrangian Problem
I'm not sure if this is in the right section, if it isn't can someone please move it :)
Lagrangian mechanics has me completely stumped. Just doesn't seem to make any sense to me. So lets see how this goes.
A best of mass m is threaded onto a frictionless wire and allowed to move under the pull of a... | 4 | [
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Motion
Visualizing Motion
In this chapter we will see what the graphs of vector motion look like, as well as see how certain formulae are derived from the graphs.
Position V.S. Time
Since position is a vector quantity, position-time graphs contain a direction. Above, the positive position quantities are in the North... | 4 | [
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... | 16,376 | 16376 | |
Quantum Mechanics
December 9th 2007, 08:26 AM #1
Member
Joined
Jan 2006
From
Gdansk, Poland
Posts
117
Quantum Mechanics
I have the following problems:
a) Under which conditions we can simultaneously measure (with arbitrary precision) two observables which operators does not commute?
b) Does... | 5 | [
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Question on Galois Theory
April 22nd 2009, 02:41 PM #1
Super Member
Joined
Apr 2009
From
México
Posts
721
Question on Galois Theory
Hey, I have been working on this problem for a while now, but I just can't solve it, so I'm posting it to see if anyone has any idea how to work it out:
Let k be an... | 5 | [
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Positive Almost Periodic Solutions for a Discrete Competitive System Subject to Feedback Controls
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 429163, 14 pages
http://dx.doi.org/10.1155/2013/429163
Research Article
Positive Almost Periodic Solutions for a Discrete Competitive System Subject to Feedba... | 5 | [
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GMAT Geometry
• GMAT Prep (USA)
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... | 4 | [
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Calculate the work to pump water out of tank
February 17th 2010, 03:48 PM
bfpri
Calculate the work to pump water out of tank
An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed
to pump half the water out of the aquarium. (The density of water, p, is 1000 kg/m3,
and acceler... | 4 | [
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0.074707... | 16,381 | 16381 | |
differential equation
July 6th 2008, 05:48 PM #1
Junior Member
Joined
Aug 2007
Posts
71
differential equation
solve dy/dx = (y^2)(e^2y), y(0) = 1.
e^2y = x
lnx = 2y.
lnx/2 = y
dy/y^2 = (0.5)(lnx)dx
-y^-1 = (.5)(xlnx-x) + C
C = -1
y = -2/(xlnx -x -1)
Is this correct?
... | 5 | [
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0.006195068359375,
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-0.03662109375,
0.0035552978515625,
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-0.... | 16,382 | 16382 | |
Transposing eqautions and identities and explaining
July 6th 2012, 07:41 PM #1
Junior Member
Joined
Jul 2012
From
Manchester
Posts
30
Transposing eqautions and identities and explaining
Rearrange the equation
Root((a^2)+(7)^2)=z^2
to make a the subject.
rearrange theeqaution s-y=(5+y)/s
... | 4 | [
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0.04956... | 16,383 | 16383 | |
Converging series with factorials
December 20th 2008, 09:58 AM #1
Newbie
Joined
Dec 2008
Posts
2
Converging series with factorials
It's been a while since calculus and this problem actually is part of probability theory question. I've got the answer down into a series.
∑(1.5^n)/[n*(n-2!)] = ∑[(1.5^n... | 5 | [
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... | 16,384 | 16384 | |
Prove using Binomial Theorem?
February 12th 2009, 07:17 AM #1
Prove using Binomial Theorem?
If ∑(r = 0 to n) (nCr)^-1 = s,
then prove that ∑(r = 0 to n) (2r + 1)/(nCr) = (n+1)s
nCr is n choose r.
Let $\sum_{r=0}^n \frac{1}{{n\choose r}} = s$ and $A = \sum_{r=0}^n \frac{r}{{n\choose r}}$.
Notice... | 5 | [
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0.0296630859375,
-0... | 16,385 | 16385 | |
probabilty
October 13th 2012, 12:29 AM #1
Newbie
Joined
Sep 2012
From
india
Posts
17
probabilty
A fair dice is rolled. Each time the value is noted and running sum is maintained. what is the expected number of runs needed so that the sum is even. thanks
Re: probabilty
The expected value of the ... | 5 | [
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... | 16,386 | 16386 | |
Multiplying Fractions.
April 24th 2012, 05:02 AM
Jman115
Multiplying Fractions.
Just curious as to why you can multiply straight across and it works. Why does multiplying the two parts, and two wholes works. I can see that it does work but am not sure what exactly is going
on that does make it work.
My ... | 4 | [
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0.1... | 16,387 | 16387 | |
more polynomials
November 23rd 2009, 09:46 PM #1
Junior Member
Joined
Nov 2009
Posts
27
Hi can someone please help me figure this out?
WHen a polynomial is divided by (2x + 1)(x - 3), the remainder is 3x - 1. What is the remainder when the polynomial is divided by 2x +1?
Thanks !
Hello ipok... | 4 | [
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0.0061... | 16,388 | 16388 | |
Exponential loss of light
October 4th 2010, 08:15 AM #1
Newbie
Joined
Oct 2010
Posts
2
Exponential loss of light
Here is a problem I'm having trouble with:
50 8.0
3. Underwater light intensity decreases with increasing depth: the IDTRMn
deeper you go, the darker it gets. The relationship is ... | 4 | [
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... | 16,389 | 16389 | |
Please help. Demonstrate the curve
April 21st 2008, 06:19 PM #1
Newbie
Joined
Apr 2008
Posts
12
Please help. Demonstrate the curve
This is a problem that I am having trouble figuring out in my Differential Geometry course. Here it is below:
Demonstrate that the curve
r(t) = <a(sint)^2, asin(t)c... | 4 | [
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-0.... | 16,390 | 16390 | |
MATLAB problem with Kapitsa pendulum(mostly about second order differentiation)
2. Relevant equations
Theory for Kapitsa pendulum predicts that the motion consists of 2 parts:
x(t)=X(t)+ x˜(t)
(1)
With fast oscillations:
x˜(t)=−AX(t)sin(wt) /(w^2)
(2)
and a slowly varying motion X(t) which satisfies the following equat... | 4 | [
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0.039794921875,
-0.046875,
-0.05761718... | 16,391 | 16391 | |
Logarithm
September 17th 2009, 04:50 AM #1
Newbie
Joined
Sep 2009
Posts
8
Logarithm
Hello, can you please slove the logarithm? I don't understand how to open it.
$Log_7[x+log_2(9-2^x)+4]=1$
I tried this
$Log_7(x+4)+Log_9(9-2^x)=1$
But not sure if it is right and don't know what to do... | 4 | [
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Finding the smallest root.
1. October 11th 2012, 04:02 AM #1
2. October 11th 2012, 05:14 AM #2
Re: Finding the smallest root.
From inspection the left hand side of this equation must be less than or equal to 1, so therefore $e^{0.02x} \le 0.05$, or $x \ge \frac {-ln(20)}{0.02}$. So the smallest root mus... | 5 | [
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Thermodynamics- total kinetic energy and rms velocity
I'm not sure if you still need help with this question, but I'll show how I'd work it out:
Firstly, to find the RMS (root mean squared) velocity of the molecules, we'll start with your equation,
PV=(Nm <v^2>)/3 Now we don't know N, and while we could calculate it,... | 5 | [
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Finding period of a tan function with x^2 as an exponent
April 8th 2012, 07:54 PM #1
Newbie
Joined
Apr 2012
From
United States
Posts
4
Finding period of a tan function with x^2 as an exponent
Find four solutions of tan(2x^2 + x − 1) = 5
I work this out to:
2x^2 + x -2.373 = 0
Use the qu... | 5 | [
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Patent US7206290 - Method and apparatus for estimating speed-adapted channel
CROSS-REFERENCE TO RELATED APPLICATION
This utility patent application is a continuation of International Patent Application, serial number PCT/CN01/00690, filed on May 8, 2001, which claims the priority of the Chinese patent application,
ser... | 4 | [
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0.00... | 16,396 | 16396 | |
Multivariable Maximum problem
March 29th 2010, 09:00 AM #1
Junior Member
Joined
Mar 2006
Posts
46
Multivariable Maximum problem
Find all the points (x, y, z) with x, y, z => 0 which maximizes the function
f(x, y, z) = xy + xz + yz - 4xyz subject to the constraint x + y + z = 1.
hi!!!
please ... | 5 | [
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Patent US3019640 - Method of and means for measuring torque of an electric motor drive
Feb. 6, 1962 R. H. ENGELMANN 3,019,640
METHOD OF AND MEANS FOR MEASURING TORQUE OF AN ELECTRIC MOTOR DRIVE Filed Oct. 27, 1959 2 Sheets-Sheet 1 I 7 1 6 J1 I L0 12) {g INVENTOR.
=Yn RICHARD H E/VGELMAA/N BY I3 F I M1; N TOFUNCTION G... | 4 | [
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0.063964843... | 16,398 | 16398 | |
A max function of 2 variables max(a,b)
September 24th 2011, 04:23 PM
Manni
A max function of 2 variables max(a,b)
The max function is a function of 2 variables and is defined as follows
max(x,y) = x if x is greater or equal to y or it's = y if x is less than y
How would I go about expressing this piece... | 4 | [
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