content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Separable Equation With Intial Condition.
February 19th 2010, 09:26 AM
Ted
Separable Equation With Intial Condition.
Hello.
Problem: Find the solution of the differential equation that satisfies the given intial condition.
$\frac{dL}{dt}=kL^2ln(t)$
The intial condition: $L(1)=-1$.
My solution:
... | 5 | [
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0.0224609375,
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-0.031982421875,
-0.01196... | 20,900 | 20900 | |
Vector calculus identities mess
January 11th 2012, 07:49 PM
Mollier
Vector calculus identities mess
I'm reading in a fluid dynamics book and in it the author shortens an equation using identities my rusty vector calculus brain cannot reproduce.
$\vec{e} \cdot \frac{\partial}{\partial t}(\rho \vec{u}) = -abl... | 4 | [
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converting rectangular to spherical coordinates
September 21st 2013, 10:28 PM #1
Newbie
Joined
Apr 2008
Posts
13
converting rectangular to spherical coordinates
Question:
Convert the point
a.
b.
c.
d.
e.
Relevant equations :
tanθ = y/x
ρ = √(x²+... | 4 | [
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sicp-ex-2.58
We’re only going to bother with part (b) here, because the solution for that is also a solution for part (a).
The main problem is essentially to recognize whether a given expression is a sum or product. Now, keep in mind that, despite our moving to a representation that is more orthodox to traditional
not... | 5 | [
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General Solution
October 26th 2010, 07:36 PM
l flipboi l
General Solution
Hello,
Can someone please help me figure out the general solution for this matrix?
x+y+z = 0
2x+2y+2z = 0
3x+3y+3z = 0
Thanks!
l Flipboi l
October 26th 2010, 07:57 PM
pickslides
Set it up as
$Ax = b \... | 5 | [
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How to work out proofs in Analysis I
Now that we’ve had several results about sequences and series, it seems like a good time to step back a little and discuss how you should go about memorizing their proofs. And the very first thing to
say about that is that you should attempt to do this while making as little use of... | 4 | [
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Three New Optimal Fourth-Order Iterative Methods to Solve Nonlinear Equations
Advances in Numerical Analysis
Volume 2013 (2013), Article ID 957496, 8 pages
http://dx.doi.org/10.1155/2013/957496
Research Article
Three New Optimal Fourth-Order Iterative Methods to Solve Nonlinear Equations
^1Petroleum Engineering Depa... | 5 | [
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Inflation and expansion of spacetime
stglyde
How come a "positive-energy false vacuum would, according to general relativity, generate an exponential expansion of space"?
If we have a smoothly-distributed energy density, then the expansion of space (neglecting spatial curvature) can be written as:
[tex]H(t)^2 = \r... | 4 | [
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Patent US6721708 - Power saving apparatus and method for AC-3 codec by reducing operations
FIELD OF THE INVENTION
This invention pertains generally to AC-3 audio decompression, and more particularly to reducing operations and power saving for DSP processors.
BACKGROUND
Digital Audio Compression Standard (AC-3) is an... | 4 | [
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Norms and Banch spaces
April 11th 2010, 03:18 AM #1
Junior Member
Joined
Nov 2008
Posts
53
Norms and Banch spaces
1. Show that two norms are equivalent iff the convergence of a sequence in the first norm is equivalent to its convergence in the second norm.
2. Let $C^1[0,1]$ be the space of all real ... | 5 | [
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0... | 20,909 | 20909 | |
Q on irrational numbers
1. The problem statement, all variables and given/known data
Is [tex]\sqrt{2}[/tex] + [tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] rational?
2. Relevant equations
If n is an integer and not a square, then [tex]\sqrt{n}[/tex] is irrational
For a rational number a and an irrational number b,
a +... | 4 | [
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Cobb-Douglas Function: Inverse function and marginal cost
March 15th 2013, 02:36 AM #1
Newbie
Joined
Mar 2013
From
Oslo
Posts
4
Cobb-Douglas Function: Inverse function and marginal cost
Ok, so I wonder wether or not I have done this correctly:
It would be of great help to me.
I have the Cobb... | 5 | [
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simple definite integral
April 9th 2010, 03:15 PM #1
Member
Joined
Oct 2009
Posts
229
simple definite integral
$\int_2^{6} \frac {6(x^2+1)}{ \sqrt{x}} dx$
I'm having a bit of trouble. I know I can draw out the 6 and bring the denominator up, but how do I follow that up?
$\frac{{6\left( {x^2 + 1... | 4 | [
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... | 20,912 | 20912 | |
Converting Between Numeric Bases
In mathematical numeral systems, the base or radix is usually the number of various unique digits, including zero, that a positional numeral system uses to represent numbers. For example, the decimal
system, the most common system in use today, uses base ten, hence the maximum number a... | 4 | [
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0.09... | 20,913 | 20913 | |
Finite-Length Sequences and the DWT Matrix
The wavelet transform, viewed from a filterbank perspective, consists of iterated 2-channel analysis stages like the one in Figure 1.
First consider a very long (i.e., practically infinite-length) sequence c k m m∈Z c k m m . For every pair of input samples c k 2n c k 2n... | 4 | [
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0.042... | 20,914 | 20914 | |
Standard Deviation of transformed R.V.
July 26th 2012, 10:31 AM
salohcin
Standard Deviation of transformed R.V.
Hello all,
Suppose you have some random variable x that is distributed according to a pareto distribution f(x) = k m^k x^-k-1. And then you have a transformation y = c x where c is a constant. I w... | 4 | [
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Evaluate Complex Integral
June 29th 2011, 09:02 AM #1
Newbie
Joined
Dec 2009
Posts
15
Evaluate Complex Integral
Use Cauchy's Integral Formula to evaluate the integral $\oint_{C}f(z)dz$ over a contour C, where C is the boundary of a square with diagonal opposite corners at z = −(1 + i )R and z = (1 + i )R... | 4 | [
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Semidefinite Relaxations for Max-Cut
Semidefinite Relaxations for Max-Cut (2001)
Cached
Download Links
by Monique Laurent
Venue: The Sharpest Cut, Festschrift in Honor of M. Padberg's 60th Birthday. SIAM
Citations: 8 - 1 self
BibTeX
@INPROCEEDINGS{Laurent01semidefiniterelaxations,
author = {Monique Laurent},
... | 4 | [
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another trigo equ general solution
Your answers and the books answers are equivalent, but I much prefer your answers! Observe: Book answers: $\theta = \pm \frac{\pi}{2} + 2n\pi = \pm \frac{\pi}{2}, \, \frac{3\pi}{2}, \frac{5\pi}{2},
\, ....$ $\theta = \frac{n \pi}{3} = 0 \, \pm \frac{\pi}{3}, \, \pm \frac{2\pi}{3}, \pm... | 4 | [
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0.0096435... | 20,918 | 20918 | |
Patent US4230908 - Telephone summing circuit
This invention relates to the telephone art and to the addition of two audio samples. The "party" may be a voice or a tone.
The invention is useful in the type of telephone system wherein the audio samples are converted from analog form to digital form at the originating en... | 4 | [
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How do I simplify this expression?
August 26th 2010, 10:12 AM
jenbones
How do I simplify this expression?
Okay, so I need step by step on how to simplify this expression:
(a + 2) / (a^2 + a) ÷ (a + 2) / (a^3)
thank you in advanced.
August 26th 2010, 10:33 AM
HallsofIvy
Quote:
That is the sa... | 4 | [
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Hypothesis Testing Regression
August 24th 2009, 05:02 AM #1
Junior Member
Joined
Jul 2009
Posts
29
Hypothesis Testing Regression
A sample of data from 40 households in a particular area in 2007 yielded the following information, where X is disposeable income per head and Y is disposeable expenditure per ... | 5 | [
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Unit vectors in different coordinates
Hi everyone,
I've some points I want to make sure of.
1- When converting a "POINT" from a coordinate system to another, I'll just use the derived equation to convert (e.g. (1,2,3) from cartestian to cylindrical: [itex] \rho=\sqrt{x^{2}+y^{2}}, \phi=tan^
{-1}\frac{y}{x}, z=z [/ite... | 4 | [
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0.02758789... | 20,922 | 20922 | |
Banked Curve question
Thanks so much for your help. This is what I calculated it out to:
I found the sum of the forces in the vertical direction: ncos(angle) + (-mg) = 0, so ncos(angle) = mg, and in terms of mg, n = (mg)/(cos[angle]).
To find out what that angle was, I used the sum of the forces in the horizontal dir... | 4 | [
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Charpits: Non Linear 1st order PDE: Particular IC
August 14th 2011, 06:50 AM
bugatti79
Charpits: Non Linear 1st order PDE: Particular IC
Folks,
I am struggling to get the initial conditions @ t=0 for p and q.
Given $(u_x)^2+(u_y)^2-1=0$ for $u=0$ on $x^2+y^2=1$
My attempt:
Parameterise x such ... | 4 | [
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Confused about how to solve simple problem...?
September 14th 2009, 07:55 PM #1
Newbie
Joined
Feb 2009
Posts
13
Confused about how to solve simple problem...?
The distance between two cities is 10km more than one third of the distance between them?
I understand the answer is 15 km - but how do i put... | 4 | [
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0.05... | 20,925 | 20925 | |
TESLA MATH FORMULARY
[Prev][Next][Index][Thread]
TESLA MATH FORMULARY
• To: tesla-at-grendel.objinc-dot-com
• Subject: TESLA MATH FORMULARY
• From: richard.quick-at-slug-dot-org (Richard Quick)
• Date: Thu, 10 Aug 1995 03:14:00 GMT
• >Received: from ns-1.csn-dot-net (root-at-ns-1.csn-dot-net [199.117.27.21]... | 4 | [
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rewrite trigonometric expression
almost positive that would turn into $sin+1$ because $csc(x)=\frac{1}{sin(x)}$ and the inverse of that would be $\frac{1}{csc(x)}=sin(x)$
Hello, Jasleen2008! Write in non-fraction form: . $\frac{1}{\csc x + 1}$ Multiply top and bottom by $(\csc x - 1)$: . . ${\color{blue}\frac{\csc x -... | 4 | [
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-0.02587890625,
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0.04833984375,
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0.0341796875,
0.0067138671875,
-0.048095703125,
-0.031982421875,
0.07080078125,
0.0368652... | 20,927 | 20927 | |
Great Circle
January 20th 2010, 02:43 AM #1
Great Circle
Hi,
Can anyone please tell me the equation of a great circle on the sphere in radius 1 in $\mathbb{R}^3$ in terms of sines and cosines?
Thanks.
Any "equation" for a geometric figure depends on how you set up the coordinates system so I am goi... | 5 | [
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0.022705078125,
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-0.0194091796875,
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-0.0222167... | 20,928 | 20928 | |
Modeling and Analysis of Connected Traffic Intersections Based on Modified Binary Petri Nets
International Journal of Vehicular Technology
Volume 2013 (2013), Article ID 192516, 10 pages
http://dx.doi.org/10.1155/2013/192516
Research Article
Modeling and Analysis of Connected Traffic Intersections Based on Modified B... | 4 | [
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0.0241699... | 20,929 | 20929 | |
Quick question about two-path limit test
October 13th 2010, 09:17 PM #1
Senior Member
Joined
Oct 2009
Posts
295
Thanks
9
Quick question about two-path limit test
How do you decide what two paths to take? For example:
$\frac{x^{2}y}{x^{4}+y^{2}}$
Can I pick any paths I want? For example:
... | 5 | [
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0.07666015625,
-0.05517578125,
-0.08300781... | 20,930 | 20930 | |
Find the inverse of a matrix
December 28th 2009, 09:05 PM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
Find the inverse of a matrix
If $A$ = $\begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$ then verify that $A^2 - 7 A - 2I = 0$ . Also find $A^{-1}$
--------------------------------------------... | 5 | [
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-0.035400390625,
-0.00... | 20,931 | 20931 | |
An Element Weakly Primary to Another Element
Chinese Journal of Mathematics
Volume 2013 (2013), Article ID 495205, 4 pages
http://dx.doi.org/10.1155/2013/495205
Research Article
An Element Weakly Primary to Another Element
^1Department of Mathematics, Shivaji University, Kolhapur, India
^2Department of Mathematics, ... | 5 | [
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-0.052978515625,
0.01226806640625,
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0.04614... | 20,932 | 20932 | |
The Regulation of Ant Colony Foraging Activity without Spatial Information
Abstract
Many dynamical networks, such as the ones that produce the collective behavior of social insects, operate without any central control, instead arising from local interactions among individuals. A
well-studied example is the formation o... | 4 | [
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0.0390625,
-0.018798828... | 20,933 | 20933 | |
Contour Map
March 7th 2009, 01:10 PM
ch2kb0x
Contour Map
I am fairly familiar with contour maps in the form f(x,y).
But there is this problem:
f(r,theta) = 1+sin(theta)-r with z = 1,3/4,1/2,1/4,0.
I was thinking about transforming that into rectangular coordinates and somehow solve it that way, but... | 4 | [
-0.007049560546875,
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-0.009033203125,
-0.103027... | 20,934 | 20934 | |
integration word problem help
November 29th 2010, 12:47 PM #1
Super Member
Joined
Sep 2008
Posts
607
integration word problem help
The reversible work per mol done, Wrev, to expand a fuid from a molar volume
V1 to a molar volume V2 is given by
$W_{rev} = - \int^{V_{2}}_V_{{1}} P dV$
Where P... | 5 | [
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0.002777099609375,
-0.0322265... | 20,935 | 20935 | |
differential equation
November 12th 2006, 07:39 PM
viet
differential equation
a) Find the general solution to the differential equation:
(Write the answer in a form such that its numerator is 1 and its integration constant is C)
$\frac{du}{dt} = u^3(t^3 - t)$
b) Find the particular solution of the a... | 5 | [
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-0.01153564453125,
0.00946044921875,
-... | 20,936 | 20936 | |
density function of a dealers profit
July 31st 2013, 05:50 PM #1
Member
Joined
Aug 2011
Posts
117
density function of a dealers profit
A dealers profit in units of 5,000 on a new auto there is a random variable X having density function
$f(x) = 1/2(1-x) for -1\le x\le1$
a) find the variance in ... | 5 | [
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0.11669921875,
... | 20,937 | 20937 | |
Find the rest by division with 7 of the given sum
February 2nd 2010, 08:43 AM #1
Newbie
Joined
Feb 2010
From
Flensburg
Posts
7
Hey you all,
I hope you have better mathematical skills than me. I only study math at a low level since i am study to become a teacher. Sadly, this leaves me with only ha... | 5 | [
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0.0198974609375,
-0.03173828125,
0.0927734375... | 20,938 | 20938 | |
Counterexample Help
September 28th 2010, 09:11 PM
MATNTRNG
Counterexample Help
Find a counterexample to the following assertion:
Every odd number can be expressed as the sum of a power of 2 and a prime.
September 28th 2010, 09:18 PM
Prove It
What about 5?
September 28th 2010, 09:38 PM
chisigma
... | 4 | [
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-0.06298828125,
-0.0198974609375,
-0.058837890... | 20,939 | 20939 | |
ODE finding constants...
November 3rd 2009, 02:58 PM #1
Member
Joined
Nov 2009
Posts
75
another problem i worked half way on and stuck on
ODE is dx/dt = x^(3/4)
i need to find values for constans a > 0 and b or which x(t) = (at)^b is a solution of the ODE or t>0. Is this function also a solution... | 5 | [
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0.08544921875,
-0.0177001953125,
-0.0... | 20,940 | 20940 | |
Physics Forums - View Single Post - What exactly is an inertial reference frame?
Sci Advisor
Thanks
P: 2,348
First of all, one should be clear about the fact that the existence of a (globel) inertial frame (and then arbitrarily many inertial frames which all move uniformly against each other) is an
assumption. It's... | 4 | [
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0.010009765625,
0.0032196044921875... | 20,941 | 20941 | |
Exam review help.
January 22nd 2009, 10:42 AM #1
Junior Member
Joined
Jun 2007
Posts
52
Exam review help.
1. Solve.
a. 2^x+1=4
2. Simplify. Write each expression using only positive integers.
a. (27x^3y^9)^1/3 b. 3^2/9 x 9^1/3
7. According to the manual, the battery in a cellular phon... | 4 | [
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-0.13... | 20,942 | 20942 | |
Cat - Math Genius
Answer :
In order that the cat should eat every thirteenth mouse, and the white mouse last of all, it is necessary that the count should begin at the seventh mouse (calling the white one the first)—that is,
at the one nearest the tip of the cat's tail.
In this case it is not at all necessary to try s... | 4 | [
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0.072265625,
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-0.028564453125,
-0.04443359375,
... | 20,943 | 20943 | |
XNA quest for centroid of polygon
Now we will talk about XNA Framework and How to find geometrical center of polygon (aka. so called centroid). At first - Why do we need centroid at all ? Well... for example - for some graphics
applications we may want drag&drop shape by it`s centroid. Or maybe in some game application... | 4 | [
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0.06591796875,
-0.007476806640625,
0.003692626953125,
-0.02709... | 20,944 | 20944 | |
Laplace Transforms
March 31st 2009, 12:45 PM
louboutinlover
Laplace Transforms
see the attachment for the questions i am stuck on.
includes first and second order differential equations which need to be solved using Laplace Transforms.
your help would be much appreciated
thanks :)
April 4th 2009, 07... | 5 | [
-0.1533203125,
0.00732421875,
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0.023193359375,
-0.0108642578125,
-0.04638671875,
0.0153198242187... | 20,945 | 20945 | |
Messing with the bases of logarithms
If the problem state something like $\log_a x = c$ $\log_b x = d$ $\log_{ab} x = ?$ If so, you will want to use a change of base rule here, i.e. $\frac{\log_{a} x}{\log_{ab} a} = \log_{ab} x$
Use change of base formula: $\log_a x=c\implies c=\frac{\ln x}{\ln a}\implies \ln a=\frac{... | 4 | [
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0.146484375,
-0.1... | 20,946 | 20946 | |
IN: a series of th order tensors, , . Define Matrices
(, ) with orthogonal column vectors.
OUT: Rank-1 basis tensor , depends on convergence.
Iterate for until convergence
(1) Initial values: , define .
(2) (a) Initial values: and whose columns are determined as the first leading
eigenvectors of the matrice... | 4 | [
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0.053955078125,
0.006988525390625,
-0.0... | 20,947 | 20947 | |
simultaneous equations arrgh
May 3rd 2008, 07:02 AM #1
simultaneous equations arrgh
could someone go through the steps for me for giving x,y,z in terms of m,my method is really long and wrong.
4x+y+7z=12
3x+2y+5z=m
8x+5y+13z=0
thnx alot
Hello,
You can use matrices..
$\begin{pmatri... | 4 | [
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0.051025390625,
0.0194091796875,
-0.01531982421875,
0.058349609375,
-0.087... | 20,948 | 20948 | |
pipes and cistern problem.
December 13th 2012, 08:17 PM #1
Member
Joined
Aug 2012
From
Utah
Posts
88
pipes and cistern problem.
Pipes A and B can fill a cistern in 20 and 30 minutes and C can empty it in 15 minutes.
If the three are opened and closed one after the other successively for 1 min eac... | 4 | [
0.01190185546875,
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0.0167236328125,
-0.046875,
-0.0590... | 20,949 | 20949 | |
Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations
Abstract and Applied Analysis
VolumeΒ 2011Β (2011), Article IDΒ 182827, 16 pages
http://dx.doi.org/10.1155/2011/182827
Research Article
Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations
^1Department of Mathematics a... | 5 | [
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-0.041259765625,
-0.... | 20,950 | 20950 | |
Patent US4884231 - Microprocessor system with extended arithmetic logic unit
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to microprocessor systems having improved characteristics in performing arithmetic operations.
2. Description of the Prior Art
Prior art microprocessor systems in... | 4 | [
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Development of an Optical Sensor Head for Current and Temperature Measurements in Power Systems
Journal of Sensors
Volume 2013 (2013), Article ID 393406, 12 pages
http://dx.doi.org/10.1155/2013/393406
Research Article
Development of an Optical Sensor Head for Current and Temperature Measurements in Power Systems
Lab... | 4 | [
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0.01092529296875,
0.02514... | 20,952 | 20952 | |
gamma distribution
October 30th 2008, 03:57 AM #1
Newbie
Joined
Oct 2008
Posts
12
gamma distribution
If X is a gamma(2,lambda) distribution
lambda(^2)xe^(-lambda x) x >0
fX(x)=
0 otherwise
How do i obtain the mean and variance of X?
thanks.
$f(x) = \lambda^2 \, x \, e^{-\lambda... | 5 | [
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0.05810... | 20,953 | 20953 | |
Z-Boson reasonance and the number of neutrino varieties
At the LEP experiment Z bosons were produced through colliding electrons and positrons. This was a very clean experiment, unlike the LHC, allowing the properties of the Z boson to be studied to high
precision. The presence of the Z boson shows up as a peak in the ... | 4 | [
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Problems with calclulating power
Okay, let me try to make this clearer (please excuse typos, I've had a few beers)
Consider a lever. There is a pivot at [itex]x=0[/itex] and the arm of the lever is 2m long. Assume that the lever extends from zero to [itex]x=2[/itex]. Now, lets say we have a mechanism of some sort
that... | 4 | [
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0.01129150390625,
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0.04736328125,
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0.04443359375,
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-0.001... | 20,955 | 20955 | |
A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 230392, 17 pages
http://dx.doi.org/10.1155/2013/230392
Research Article
A New Computational Technique for Common Solutions between ... | 5 | [
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Conjugated Heat and Mass Transfer in Convective Drying in Compact Wood Kilns: A System Approach
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 538931, 12 pages
http://dx.doi.org/10.1155/2013/538931
Research Article
Conjugated Heat and Mass Transfer in Convective Drying in Compact Wood Kilns: A Syst... | 4 | [
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transposition of formula
March 12th 2008, 01:39 PM #1
Junior Member
Joined
Mar 2008
From
Gibraltar
Posts
29
transposition of formula
I've got the following formula
X=k(1-e^(-t/T)
i've managed as part of my assignment to find values for all of the constants or variables except t.
so i n... | 4 | [
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-0.0277099609... | 20,958 | 20958 | |
Mathematical induction
Solve by induction.The recurrence $S(n) = 1$, for $n=1$ $S(n) = [S(\frac{n}{2})]+[S(\frac{n}{2})]+1$, for $n \geq 2$
Hello, Apprentice123! I believe you have misplaced the brackets . . . Solve by induction the recurrence: $S(1) = 1$ $S(n) \:=\:S\bigg(\!\!\left[\tfrac{n}{2}\right]\!\!\bigg) + S\b... | 4 | [
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-0.... | 20,959 | 20959 | |
ite
Exploring Geographic and Geometric Relationships Along a Line of Ancient Sites Around the World (cont)
By Jim Alison
THE GREAT PYRAMID, PERU & PYTHAGORAS
The Great Pyramid precisely expresses the 2π relationship between the circumference and the radius of the Earth. The height of the Great Pyramid is 481.4 feet.... | 4 | [
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... | 20,960 | 20960 | |
M17Q5
Author Message
2
This post was
BOOKMARKED
What is
... | 4 | [
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Prove that matrix W is a field
September 16th 2010, 06:44 AM #1
Member
Joined
Jan 2010
Posts
232
Prove that matrix W is a field
Let $W=\left\{ \left[ \begin{matrix} a & -b \\ b & a \end{matrix} \right] : a,b\in R \right\}$ together with the usual operations of matrix addition and matrix multiplication in... | 4 | [
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Conversion
7 Unit Lists: Conversion to Sums of Units
Outside of the SI, it is sometimes desirable to convert a single unit to a sum of units—for example, feet to feet plus inches. The conversion from sums of units was described in Sums and Differences
of Units, and is a simple matter of adding the units with the ‘+’... | 4 | [
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0.0712... | 20,963 | 20963 | |
Please help with the greatest volume problem
February 16th 2009, 06:00 PM #1
Member
Joined
Oct 2007
Posts
134
Please help with the greatest volume problem
Please explain how to solve this problem. Thank you.
A square sheet of metal is 20 inches on one side. Find the dimensions of the open box of grea... | 5 | [
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... | 20,964 | 20964 | |
How is this equation derived?
gerben
a is the acceleration, which is the change of the velocity per second. You started with velocity [itex]v_{start} = v_0[/itex], so at the end after [itex]t[/itex] seconds the velocity is:
[tex]v_{end} = v_0 + at[/tex]
The average velocity during these [itex]t[/itex] seconds was:
[... | 4 | [
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0.0028839111328125,
0.0279541015625,... | 20,965 | 20965 | |
What will the gravitational field inside the Earth be?
The force will change linearly with the distance from the centre.
This is connected with the shell theorem, i.e. there is no net force acting on a body inside an uniformly dense sphere.
As the ball gets deeper under the surface, the layers above it stop exerting... | 4 | [
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-0.... | 20,966 | 20966 | |
Probability Bivariate Random Variable Problem
May 2nd 2008, 04:17 PM #1
Junior Member
Joined
Apr 2008
Posts
40
Probability Bivariate Random Variable Problem
Let U=min(X,Y) and V=max(X,Y), where X and Y are independent R(0,1) random variables.
1. Compute the cdf's (cumulative dist. function) F(u) and... | 5 | [
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One more puzzle
February 15th 2011, 10:58 PM
whyonlyme
One more puzzle
Fill nine squares with numbers between 1 to 9
Rule: total of numbers from any side will be equal to 15.
If it have any formula, please tell me.
February 16th 2011, 07:31 AM
Wilmer
February 16th 2011, 12:15 PM
Soroban
Here's ... | 4 | [
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Today's calculation of integral #12
Let $I_{m,n} = \int^{1}_{0} x^{m} (x^{2} + 1)^{n} \; \mathrm{d}x$ Then by using integration by parts, $I_{m,n} = \frac{2^{m}}{m+1} - \frac{2n}{m+1} I_{m+2,n-1}$ Setting m = 2n, and using this
repeatedly gives an expression for the integral: $I_{2n,n} = 2^{n}\left[\frac{1}{2n+1} - \fr... | 5 | [
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2n^3+3n^2+n\equiv 0 (mod 6)
Hint: $2n^3+3n^2+n = n(n+1)(2n+1)$ This is a rather easy exercise - using either induction or direct proof (unless I am missing something in the question)
Hello, dwsmith! I have a back-door approach to this one . . . Quote: $2n^3+3n^2+n\equiv 0 \ \mbox{(mod 6)}$ As aman-cc pointed out: . $2... | 5 | [
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-0.05029296... | 20,970 | 20970 | |
IVP with Laplace Transform
August 29th 2009, 09:28 PM #1
Newbie
Joined
Aug 2009
Posts
10
IVP with Laplace Transform
Solve the initial value problem using Laplace Transforms.
$\ddot{y} - 6 \dot{y} + 9y = te^{3t}, y(0) = 1, \dot{y}(0) = 0$
Apply the Laplace transform to both sides of the equation... | 5 | [
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Functional Verification of High Performance Adders in C
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 197252, 9 pages
http://dx.doi.org/10.1155/2014/197252
Research Article
Functional Verification of High Performance Adders in COQ
^1School of Software, Tsinghua University, Beijing 100084, China
^2Dep... | 4 | [
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... | 20,972 | 20972 | |
Hybrid Optimization Approach for the Design of Mechanisms Using a New Error Estimator
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 151590, 20 pages
http://dx.doi.org/10.1155/2012/151590
Research Article
Hybrid Optimization Approach for the Design of Mechanisms Using a New Error Estimator
^1Cal... | 4 | [
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0.035644... | 20,973 | 20973 | |
A New Trust Region Algorithm For Equality Constrained Optimization
A New Trust Region Algorithm For Equality Constrained Optimization (1995)
Cached
Download Links
by Thomas F. Coleman , Wei Yuan
BibTeX
@MISC{Coleman95anew,
author = {Thomas F. Coleman and Wei Yuan},
title = {A New Trust Region Algorithm For Equalit... | 4 | [
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0... | 20,974 | 20974 | |
Number Properties - GMAT Math Study Guide
Definitions
• Integers - The set of numbers including: ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4...
The following numbers are examples of numbers that are not integers: -1.56, ^2/[3], 105.1
• Units Digit - The number immediately to the left of the decimal point.
For ... | 4 | [
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... | 20,975 | 20975 | |
Trig Resource: Transferring Angles (in Radians)
October 17th 2009, 08:39 AM
ginarific
Trig Resource: Transferring Angles (in Radians)
Hello,
I still get a little bit muddled whenever transferring angles from one quadrant to another. I was wondering if anybody knew any resource/tutorial that teaches you how ... | 4 | [
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... | 20,976 | 20976 | |
Finding the area of a circle segment with very limited information.
August 29th 2010, 03:09 PM #1
Newbie
Joined
Aug 2010
Posts
2
Finding the area of a circle segment with very limited information.
I am trying to help my grandfather who is a making a model sail boat. The sails are isosceles triangles with... | 4 | [
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combining logs
January 26th 2010, 03:45 PM
ryan18
combining logs
Express the given quantity as a single logarithm. ln(a + b) + ln(a - b) - 9 ln(c)
Here is what I did:
ln a + ln b + ln a - ln b - 9 ln c
The ln b's cancel.
ln a + ln a - 9 ln c
Then combine to one logarithm.
ln(a^2 - c^9... | 4 | [
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mathschallenge.net
Even Sum Of Two Abundant Numbers
Problem
The divisors of a positive integer, excluding the number itself, are called the proper divisors . If the sum of proper divisors is equal to the number we call the number perfect. For example, the
divisors of $28$ are $1, 2, 4, 7, 14,$ and $28,$ so the sum of... | 4 | [
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-0.0031890... | 20,979 | 20979 | |
integration (area under a curve)
February 18th 2010, 08:17 AM
Oasis1993
integration (area under a curve)
Hello guys! Im having trouble with this question i would appreciate the help.
curve y=( 2x-3)^3
a) find the x coordinates of the two points on the curve which have gradient 6
b) the region shad... | 5 | [
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-0.089... | 20,980 | 20980 | |
A Density-Dependent Switch Drives Stochastic Clustering and Polarization of Signaling Molecules
Abstract
Positive feedback plays a key role in the ability of signaling molecules to form highly localized clusters in the membrane or cytosol of cells. Such clustering can occur in the absence of localizing
mechanisms such... | 4 | [
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Patent US7110386 - Single user detection user equipment
This application is a continuation of U.S. patent application Ser. No. 10/052,943, Nov. 7, 2001, which claims priority to U.S. Provisional Patent Application No. 60/246,947, filed on Nov. 9, 2000,
which applications are incorporated herein by reference.
BACKGROUN... | 4 | [
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... | 20,982 | 20982 | |
Work Along An Incline
1. The problem statement, all variables and given/known data
A crate is pulled up a rough incline. The pulling force is parallel to the incline. The crate is pulled a distance of 7.51m.
The acceleration of gravity is 9.8 m/s^2.
Given:
d = 7.51
theta = 32
m = 10.1
g = 9.8
coefficient of frictio... | 4 | [
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0... | 20,983 | 20983 | |
Inverse Laplace Transform
May 22nd 2011, 12:54 PM #1
Newbie
Joined
Mar 2011
Posts
7
Inverse Laplace Transform
Sorry if this is in the wrong section.
Basically I am trying to find the inverse laplace transform of
$F(s)=\frac{s}{\left ( s+1 \right )^2+1}$
using the bromiwich integral and the... | 5 | [
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0.034423828125,
-0.05... | 20,984 | 20984 | |
Counting Problems
September 14th 2010, 03:41 PM #1
Newbie
Joined
Feb 2010
Posts
6
Counting Problems
Ok, so I have a test tomorrow and there are a few problems that still don't make sense to me, any help on any one of these would be appreciated.
1) How many sequences of length 5 can be formed using t... | 4 | [
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0.125,
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-0.03857421875,
... | 20,985 | 20985 | |
Ratio of 2 Gamma distributions
X/Y does follow a beta distribution! (Assuming they have the same second parameter. This is very important). It's called the beta distribution of the second kind with parameters alpha_x and alpha_y.
The F distribution is simply b*X/Y where b>0.
I'll show you why X/Y is called the beta di... | 5 | [
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0.02734375,
-0.01904296875,
-0.0234... | 20,986 | 20986 | |
Show equality by combinational argument
September 30th 2009, 07:10 AM #1
Newbie
Joined
Sep 2009
Posts
22
Show equality by combinational argument
Hello,
I came across a problem, and I was confused on how to go about doing it, so was seeing if I could get some advice. I guess I'm a little confused to w... | 5 | [
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0.00072479248046875,
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0.1337890625,
0.0076293945... | 20,987 | 20987 | |
Differentiation of transcendental functions?
June 5th 2012, 04:39 AM
tutto00
Differentiation of transcendental functions?
ABCD is a trapezium with AB = CD, with vertices on the circle and with centre O. AD is a diameter of the circle. The radius of the circle is 4 units.
a. Find BC in term of theta.
b. ... | 4 | [
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0.005... | 20,988 | 20988 | |
A good question
October 11th 2008, 06:48 AM
great_math
A good question
Two numbers are such that the sum of their cubes is 5 and the sum of their squares is 3. Find the sum of the numbers.
October 11th 2008, 07:03 AM
Moo
Hello,
Quote:
$a^3+b^3=5$
$a^2+b^2=3$
Note that $a^3+b^3=(a+b)(a^2... | 4 | [
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-0.010803222656... | 20,989 | 20989 | |
Afew Questions
December 15th 2007, 03:22 PM #1
Junior Member
Joined
Sep 2007
Posts
60
Afew Questions
Any help with the following questions is appreciated
Linear/Non-Linear Systems of Equations
1. Write an equation to form a system with $y=5x-1$ so that the system has (2,9) as its only solution.... | 4 | [
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0.052001953125,
0.036376953125,
-0.0206298828125,
0.111328125,
0.045166015625,
-0.... | 20,990 | 20990 | |
Inequalities of Convex Functions and Self-Adjoint Operators
Journal of Operators
Volume 2014 (2014), Article ID 382364, 5 pages
http://dx.doi.org/10.1155/2014/382364
Research Article
Inequalities of Convex Functions and Self-Adjoint Operators
Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Tr... | 5 | [
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coordinate geometry
November 23rd 2009, 05:32 PM
hooke
coordinate geometry
The vertices of a triangle are A(4,4) , B(-4,-2) and C(4,-4) respectively . Fidn the coordinate of the point which is equidistant from B and C and which lies on the angle bisector of angle BAC .
which lies on the angle bisector of an... | 4 | [
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0.001541137695312... | 20,992 | 20992 | |
[1/a^2+1/a^4+1/a^6+...]>[1/a+1/a^3+1/a^5]
Question Stats:
100%0% (00:00)based on 1 sessions
honeyhani wrote:
[1/a^2+1/a^4+1/a^6+...]>[1/a+1/a^3+1/a^5]
B. One of the roots of the equation 4x2–4x+1 = 0 is a
first, I need explanation on how the answer calculates sum of series? I mean the formula.
secondly, in DS sect... | 4 | [
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changing fractions to decimals
March 25th 2008, 08:48 AM #1
Newbie
Joined
Mar 2008
Posts
16
changing fractions to decimals
Hello.
i have a problem with changing fractions to decimals. For instance if i have the fraction....121/239 and i have to write it as a repeating decimal i am not sure how to go ... | 4 | [
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... | 20,994 | 20994 | |
Another table of values question, use inverse proportion and find k?
June 9th 2009, 02:08 PM #1
Newbie
Joined
Apr 2009
Posts
20
Another table of values question, use inverse proportion and find k?
So I have:
10 100
40 6
70 2
100 1
That is inverse square correct?
Now, how would ... | 4 | [
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Word problem including depth, min / max..
April 15th 2009, 07:43 AM #1
Member
Joined
Nov 2007
Posts
100
Word problem including depth, min / max..
One end of a piece of elastic is attached to a point at the top of a door frame and the other end hangs freely. A small ball is attached to the free end of the... | 4 | [
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-0.0... | 20,996 | 20996 | |
3D harmonic oscillator ground state
I've been told (in class, online) that the ground state of the 3D quantum harmonic oscillator, ie:
[tex]\hat H = -\frac{\hbar^2}{2m} \nabla^2 + \frac{1}{2} m \omega^2 r^2 [/tex]
is the state you get by separating variables and picking the ground state in each coordinate, ie:
[tex]... | 5 | [
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A New Spectral Shape-Based Record Selection Approach Using
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 679026, 9 pages
http://dx.doi.org/10.1155/2013/679026
Research Article
A New Spectral Shape-Based Record Selection Approach Using and Genetic Algorithms
^1Facultad de Ingeniería, Universida... | 4 | [
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counting rules
May 21st 2006, 06:27 PM
skhan
counting rules
A research study was conducted to determine how much the populat "Hukt on Fonics" reading program actually helps young children learn how to read. Three classes, with each class having 10
students, participated in the study. One class did not use th... | 4 | [
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