content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Integrals
December 2nd 2009, 01:42 AM #1
Newbie
Joined
Sep 2008
Posts
16
Integrals
Hello!
I'm having some problems with Calculus. I can't even figure out how to get started, let alone do the problem :S
1)Find derivative of the function:
2)Calculate area enclosed by y^2 = 2x+6 and y ... | 5 | [
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0.03466796875,
0.0111694335... | 3,400 | 3400 | |
problem solving with triangles.
July 20th 2008, 11:01 AM #1
Banned
Joined
Jul 2008
Posts
19
problem solving with triangles.
1)If I head across a river paddling my canoe at 6km/h N, but the river current is moving at 3km/h E, determine the speed and direction of my canoe relative to the shore.
Last e... | 4 | [
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0.047119140... | 3,401 | 3401 | |
Density of Human Body Question
March 16th 2010, 09:17 AM #1
Newbie
Joined
Mar 2010
Posts
13
Density of Human Body Question
The density of the human body is estimated to be 0.95 g/cm^3
Calculate the volume of a person wighing 79.99kg
Express your answer in the form a x 10^n, where n is and element... | 4 | [
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0.140625,
-0.10009... | 3,402 | 3402 | |
estimated standard error
June 10th 2009, 01:26 PM #1
Newbie
Joined
Jun 2009
Posts
9
estimated standard error
SAMPLE 1 SAMPLE 2
Sample size 56 Sample size 55
mean 3.2 mean 2.8
s. deviation 1.8 s deviation 1.5
How do i find the Estimated Standard Error of the difference between the 2 sam... | 5 | [
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0.0299072265625... | 3,403 | 3403 | |
MathGroup Archive: December 2007 [00439]
[Date Index] [Thread Index] [Author Index]
Re: Have I found a bug?
• To: mathgroup at smc.vnet.net
• Subject: [mg84232] Re: Have I found a bug?
• From: Louise Hoffman <louise.hoffman at gmail.c... | 5 | [
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0.0152587890625,... | 3,404 | 3404 | |
find equation in the form of ax+by+c=0
April 15th 2012, 06:49 AM #1
Super Member
Joined
Oct 2008
From
Bristol, England
Posts
897
find equation in the form of ax+by+c=0
hello,
im not to sure how to work out this question:
the straight line L passes through the point P(-3,6) and the point Q(1... | 4 | [
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... | 3,405 | 3405 | |
Problem Notes
Chapter 23
Chapter 24
Chapter 26
Chapter 25
Chapter 30
Chapter 31
Problem-solving methods
Potential energy functions
Gauss' Law
Simple circuits
Multiloop circuits
12. Provide a vector diagram, define positive directions, and then write net E-field equations. This is much like a net force problem, but ... | 4 | [
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0.01879... | 3,406 | 3406 | |
2010 aime #12
December 30th 2012, 10:52 AM #1
2010 aime #12
Two non-congruent inter-sided isosceles triangles have the same perimeter and the same area. The ratio of the lengths of the bases of the two triangles is 8:7. Find the minimum possible value of
their common perimeter.
When I did, I got a very u... | 4 | [
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differencial equation
Last edited by emily28; July 20th 2007 at 02:50 AM.
ive been trying it for nearly an hour, but can only get to the stage of yy'/2y+3=1/x because i havent dont much of these type of maths. where should i go now?!
Actually it should be: $\frac{yy^{\prime}}{2y + 6} = \frac{1}{x}$ $\frac{y}{2y + 6} ... | 5 | [
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Limit problem - help please guys
March 4th 2008, 07:50 AM
janvdl
Limit problem - help please guys
Hey guys,
I've got a big test on friday and I was working out a past paper.
I would appreciate it if you could show all the steps.
The question is as follows:
$\mathop {\lim }\limits_{x \to 1} \f... | 5 | [
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... | 3,409 | 3409 | |
Stokes' theorem question
June 1st 2010, 09:06 PM #1
Newbie
Joined
Jun 2010
Posts
2
Stokes' theorem question
I have the following homework problem:
In part, we compute both integrals from Stokes' theorem for the helicoid ${\Psi(r,\theta) = (r\cos \theta, r\sin \theta, \theta)}$ where ${(r,\theta)}$ l... | 4 | [
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numpy.irr
numpy.irr¶
Return the Internal Rate of Return (IRR).
This is the “average” periodically compounded rate of return that gives a net present value of 0.0; for a more complete explanation, see Notes below.
values : array_like, shape(N,)
Parameters
: Input cash flows... | 5 | [
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st: Re: weights from regressor matrix
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
st: Re: weights from regressor matrix
From Christopher Baum <baum@bc.edu>
To statalist@hsphsun2.harvard.edu
Subject st: Re: weights from regressor matrix
Date Tue, 8 Apr 2003 07:20:10 -0400
On... | 4 | [
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Need Help!! in a hurry
April 2nd 2008, 07:36 PM #1
Member
Joined
Nov 2007
Posts
112
Need Help!! in a hurry
A ruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 110 meters, the radius of the slick is expanding by 0.6 meter/minute and its thickness is 0.03
m... | 4 | [
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... | 3,413 | 3413 | |
Derivative with exponential f(x) in denominator
March 24th 2010, 03:25 PM #1
Newbie
Joined
Mar 2010
Posts
6
Derivative with exponential f(x) in denominator
I am trying to take a derivative of the function below with respect to X. The problem is X is both in the numerator and in the exponential function i... | 5 | [
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Expanding brackets and calculating perimeter
January 5th 2010, 06:54 AM
Mukilab
Expanding brackets and calculating perimeter
6)Simplify $(3g)^3$ I couldn't think of an answer for this apart from maybe changing the 3 at the start as because it's 3gx3gx3g so 27g^3?
7)A square has a semicircle cut out of it. C... | 4 | [
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... | 3,415 | 3415 | |
Einstein's equations and second variation of volume element
Einstein's equations and second variation of volume element
Lubos had an
interesting posting
about how Jacobsen has derived Einstein's equations from thermodynamical considerations as kind of equations of state. This has been actually one the basic ideas o... | 4 | [
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Just need confirmation
March 6th 2011, 04:41 PM #1
Newbie
Joined
Mar 2011
Posts
2
Just need confirmation
Hi, I just registered for this site, and it looks like a pretty neat place.
I just needed a confirmation that I did a couple proofs right. I'm taking Number Theory at my university, and on Tuesday... | 5 | [
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User:Timothee Flutre/Notebook/Postdoc/2011/06/28
From OpenWetWare
┌───────────────────────────────────────────────────────────────────────────────────────┬─────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ Project name ... | 4 | [
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A "Random Walk" Problem
April 25th 2010, 01:35 PM #1
Newbie
Joined
Feb 2010
Posts
17
A "Random Walk" Problem
Peter and Paul bet one dollar each on each game. Each is willing to allow the other unlimited credit.Use a calculator to make a table showing, to four decimal places, for each of p =1/10, 1/3,
... | 4 | [
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Regularized incomplete beta function + continued fraction
January 24th 2013, 04:35 AM #1
Newbie
Joined
Jan 2013
From
Pune
Posts
1
Regularized incomplete beta function + continued fraction
Regularized beta function is the CDF of beta distribution. In ms_xls (msoffice 2010) there is a standard method B... | 4 | [
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arcsin(sin x) = x
For what values of x is arcsin(sin x) = x? This is for a calculus class. I'm kind of confused.
Hello, Mush89! $\text{For what values of }x\text{ is }\,\arcsin(\sin x) \,=\, x\,?$ Interesting question! Since $\arcsin$ always returns the principal value, . . I would say: . $x \in \left[\text{-}\
frac{\... | 4 | [
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Numerical Integration and Improper Integrals
Numerical Integration
Trapezoidal Rule
As we saw before, often we can not evaluate a definite integral because it is too difficult or because we do not have an algebraic expression for... | 5 | [
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Re: Why do less dense things float and more dense things sink?
Date: Tue Jan 30 20:06:58 2007
Posted By: Joel Chapman, Undergraduate, Mechanical Engineering, NC State
Area of science: Physics
ID: 1169513280.Ph Message:
The whole reason that buoyancy works the way it does is because of the
balance of forces. On any o... | 4 | [
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The bankroll management and variance guide
So, how many buyins do I need for ... ?
So, I have been getting 6541 BB/100 (on about 250 hands, got beat by a sick 18-outer, so it could be better), am I better than Rekrul ?
So, I've been crushing NL50 on so many hands (like, you know, 5000), do you think I am ready for NL20... | 5 | [
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curve sketching
if someone could show me all the steps to curve sketch y=3xe^-x that would be greatly appreciated!
My suggestions: -Try to determine the domain and range of the function -Find the $x$- and $y$- intercepts (if any) -Find the derivative and determine where the function is increasing and decreasing
-Find ... | 5 | [
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natural logarithm integrals
Help im stuck with this $\int \frac{3x^5-2x^3+5x^2-2}{x^3+1} dx$ $\int \frac{3x^5}{x^3+1} - \frac{2x^3}{x^3+1}+ \frac{5x^2}{x^3+1}-\frac{2}{x^3+1} dx$ ?
Hello, do long division first: Code: 2x^2 (3x^3 - 2x^3 + 5x^2 - 2) ÷ (x^3+1= 3x^2 - 2 + ------- -(3x^5 + 3x^2) x^3+1 ---------------------... | 5 | [
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help with elimination/substitution important!!! Urgent.
September 20th 2005, 04:46 PM #1
Newbie
Joined
Sep 2005
Posts
16
help with elimination/substitution important!!! Urgent.
The sum of the digits of a two-digit number is 9. If the number is doubled, then decreased by 36, the answer is the original num... | 4 | [
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0.01397705078125,
0.000949859619140625,
0.033203125,
-0.058837890625,
0.050537... | 3,427 | 3427 | |
Nonlinear System of two ODEs
July 8th 2010, 12:10 PM #1
Member
Joined
Jun 2008
From
Plymouth
Posts
119
Thanks
5
Nonlinear System of two ODEs
Can the system
$m\dfrac{d^2 x}{dt^2}=-k \dfrac{dx}{dt} \sqrt{\left(\dfrac{dx}{dt}\right)^2+\left(\dfrac{d y}{dt}\right)^2}$
$m \dfrac{d^2 y}{dt^2}... | 4 | [
-0.10302734375,
-0.08544921875,
0.042724609375,
0.01953125,
-0.038818359375,
-0.02392578125,
-0.03759765625,
-0.06005859375,
0.021484375,
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0.1201171875,
0.0859375,
0.07373046875,
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0.07958984375,
0.0250244140625,
0.01202392578125,
... | 3,428 | 3428 | |
Magnetic flow
February 4th 2008, 12:10 PM #1
Junior Member
Joined
Sep 2007
Posts
29
Magnetic flow
Hiya need a little help with this please
The Magnetic flow; M, through a rektangular coil with the area A kan be discribled with M=B*Acos(100pi*T) where B is the magnetic flows density. when the coil ro... | 5 | [
-0.04638671875,
0.07177734375,
-0.0712890625,
-0.0279541015625,
-0.03759765625,
0.029296875,
0.0233154296875,
0.0269775390625,
-0.06494140625,
-0.0064697265625,
0.0517578125,
-0.06201171875,
0.09912109375,
-0.0038299560546875,
0.01416015625,
0.130859375,
-0.045166015625,
0.05761718... | 3,429 | 3429 | |
Square root of complex number
November 28th 2011, 09:56 AM #1
Square root of complex number
I'm at a loss how to go about solving equations like the one below, where there are j terms under the square root sign.
I've tried getting the complex conjugate of what's under the square root sign but i'll still ha... | 5 | [
-0.06591796875,
0.031005859375,
0.07666015625,
0.0869140625,
-0.03955078125,
-0.033203125,
-0.00909423828125,
0.07568359375,
-0.017578125,
-0.037109375,
0.0810546875,
-0.004547119140625,
0.03369140625,
0.0263671875,
-0.0001277923583984375,
0.0732421875,
-0.0576171875,
0.04321289062... | 3,430 | 3430 | |
Differentiation: Tangent Lines and Velocity. Use position function s find velocity
November 13th 2012, 07:07 AM
JDS
Differentiation: Tangent Lines and Velocity. Use position function s find velocity
Use the position function s (in meters) to find the velocity at time t= a seconds.
s(t) = 4/t, (a) a=2; (b) a... | 5 | [
-0.01397705078125,
0.039794921875,
0.0079345703125,
-0.09765625,
0.031982421875,
0.0830078125,
-0.03173828125,
0.1015625,
0.019775390625,
0.022705078125,
0.08056640625,
-0.06689453125,
0.0096435546875,
0.00836181640625,
-0.0361328125,
0.07568359375,
0.002716064453125,
0.02380371093... | 3,431 | 3431 | |
Distributional properties of exponential functionals of Lévy processes
Alexey Kuznetsov (York University) Juan Carlos Pardo (CIMAT, A.C.) Mladen Savov (University of Oxford)
Abstract
We study the distribution of the exponential functional $I(\xi,\eta)=\int_0^{\infty} \exp(\xi_{t-}) d \eta_t$, where $\xi$ and $\eta$ ... | 4 | [
-0.12060546875,
-0.014892578125,
0.07275390625,
-0.0269775390625,
0.11328125,
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0.15625,
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0.0908203125,
0.0126953125,
0.015869140625,
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0.0167236328125,
0.0255126953125,
-0.035888671875,
-0.004730224609375,
-0.009399414... | 3,432 | 3432 | |
composite derivative functions
October 7th 2008, 08:27 PM #1
Junior Member
Joined
Sep 2008
Posts
33
Write the composite function in the form f(g(x)). (Identify the inner function u=g(x) and the other function y=f(u).) Then find the derivative dy/dx.
1. y=sin(e^x)
2. y=(1-x^2)^10
I know the ... | 5 | [
-0.03759765625,
-0.009033203125,
0.04345703125,
-0.0145263671875,
0.0267333984375,
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-0.015380859375,
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0.03759765625,
0.0927734375,
0.0625,
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0.033935546875,
0.01239013671875,
0.01190185546875,
-0.014892578125,
-0.013244628... | 3,433 | 3433 | |
Math Help
March 3rd 2010, 09:35 AM #1
Member
Joined
May 2009
Posts
129
integate
$\int \frac{x}{x^{1/3}-x}dx$
I set u=x^{1/3} and 3u^{2} du = dx
u^3 = x
$\int \frac{u^3}{u-u^3} * 3u^{2}dx$
$\int \frac{u^3}{u-u^3}* 3u^{2}dx$
$3\int \frac{u^4}{1-u^2}dx$
I make a devision and get... | 5 | [
-0.01287841796875,
-0.0478515625,
0.005035400390625,
0.0018463134765625,
0.004852294921875,
-0.12060546875,
-0.01336669921875,
-0.024169921875,
-0.0023193359375,
-0.054931640625,
0.0026092529296875,
-0.08056640625,
-0.0091552734375,
0.022705078125,
-0.052734375,
-0.053466796875,
0.01... | 3,434 | 3434 | |
Summary: The central limit theorem.
To prove the central limit theorem we make use of the Fourier transform which is one of the most useful
tools in pure and applied analysis and is therefore interesting in its own right.
We say a f : R C is summable if
|f(x)| dx < .
For any such function we define its Fourier transfor... | 4 | [
-0.00799560546875,
-0.015625,
0.037109375,
-0.043212890625,
0.07958984375,
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-0.0556640625,
-0.0167236328125,... | 3,435 | 3435 | |
xsin(y) = cos(x+y) , then find y'
Ive been banging my head on this one for 30 minutes.. xsin(y) = cos(x+y) , then find y'
$\frac{d}{dx} (x \sin y) = \frac{d}{dx} \cos(x+y)$ First, the left side using the product rule: $\frac{d}{dx} (x \sin y) = \frac{d}{dx} (x) \cdot \sin y + x \cdot \frac{d}{dx} (\sin y) = \sin y + x... | 5 | [
-0.09521484375,
-0.039306640625,
-0.033203125,
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0.05322265625,
0.039306640625,
0.000789642333984375,
-0.06298828125,
0.06298... | 3,436 | 3436 | |
D. J. Bernstein
More mathematics
The Zariski-Goldman-Krull theorem (the generalized Nullstellensatz)
Here's one way to state the theorem: If K is a field, R is a subring of K, and gen_R K is finite, then there exists r in R-{0} such that R[1/r] is a field and len_{R[1/r]} K is finite. Here len means
length as a modu... | 4 | [
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0.054443359375,
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0.048095703125,
-0.06103515625,
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-0.03564453125,
0.0854492187... | 3,437 | 3437 | |
[SOLVED] Squarefree and Multiplicative Functions
December 12th 2008, 04:11 PM #1
Member
Joined
Jul 2008
Posts
119
[SOLVED] Squarefree and Multiplicative Functions
Problem:
Let f be the arithmetic function given by f(n) = n if n is square-free and f(n) = 0 if n is not square-free.
(a) Prove that f... | 5 | [
-0.01470947265625,
0.02685546875,
0.00469970703125,
-0.005126953125,
0.007781982421875,
0.087890625,
0.0712890625,
0.02734375,
0.0201416015625,
0.00180816650390625,
0.049560546875,
-0.01953125,
-0.0024871826171875,
-0.00142669677734375,
-0.005462646484375,
-0.031494140625,
-0.0563964... | 3,438 | 3438 | |
Example: Graph of cosine
None
Example: Graph of cosine
Basic interpretation of the graph of the cosine function
Back
Example: Graph of cosine
Discussion and questions for this video
What is exactly happening at1:20 and why is 'y' taken as equal to cosQ?
im learning this myself and this is what i have so far.
... | 4 | [
-0.0693359375,
-0.0556640625,
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-0.032470703125,
0.007720947265625,
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0.025146484375,
0.09521484375,
-0.00433349609375,
0.119140625,
0.005950927734375,
0.04931640625,
0.08251953125,
0.01251220703125,
-0.049560546875,
-0.09326171875,
-0.04... | 3,439 | 3439 | |
Second order non homogeneous DE, annihilator method
February 27th 2010, 04:18 PM
arbolis
Second order non homogeneous DE, annihilator method
I've followed Chris' tutorial, but I didn't get lucky at the end.
I must solve $y''+2y'=xe^{-2x}$. Also, $y(0)=a$ and $y'(0)=b$.
So I consider the homogeneous equat... | 5 | [
-0.07421875,
-0.0113525390625,
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0.04833984375,
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-0.046630859375,
0.02197265625,
0.0211181640625,
-0.006927490234375,
-0.060058593... | 3,440 | 3440 | |
Fractions in multi-step equations
April 29th 2011, 09:33 AM #1
Newbie
Joined
Apr 2011
Posts
14
Fractions in multi-step equations
Having a bit of trouble wrapping my head around the following, as I am studying on my own, after years away from school. Got the basic concept down, but was hoping someone coul... | 4 | [
-0.04638671875,
0.015625,
0.0191650390625,
0.005279541015625,
-0.025390625,
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0.041259765625,
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0.013427734375,
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0.052734375,
-0.0216064453125,
0.07958984375,
-0.044677734375,
0.0825195312... | 3,441 | 3441 | |
Probably Overthinking It
Way back in February I analyzed data from the National Survey of Family Growth (NSFG) and answered the question "
Are first babies more likely to be late?
" Now I am getting back to that data to look at the related question, "Are first babies more likely to be
light
?"
In
Think Stats
(Ch... | 4 | [
0.01043701171875,
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0.1044921875,
0.02978515625,
0.041259765625,
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0.03369140625,
0.029541015625,
0.0830078125,
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0.076171875,
0.058837890625,
0.035888671875,
0.0380859375,
-0.0302734375,
-0.035... | 3,442 | 3442 | |
Proportions Math used by Pharmacy Technicians
PROPORTIONS MATH
Proportions math is very commonly used by pharmacy technicians. It is mandatory to learn this process to prepare for the PTCB or ExCPT. A majority of the calculations you'll do use proportions math.
You must know 3 factors
and be looking for the fourth (u... | 4 | [
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0.04833984375,
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0.0478515625,
0.1435546875,
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0.0361328125,
0.0306396484375,
-0.047607421875,
0.11083984375,
0.08642578125,
-0.017822265625,
-0.02294921875,
-0.0220947265625,
0.0830... | 3,443 | 3443 | |
National Ambient Air Quality Standards
Environmental Services Program
National Ambient Air Quality Standards
In the past, measured ambient values were compared directly to the standard to determine if a violation of the standard had occurred. The new regulations require that statistical smoothing and
averaging proced... | 4 | [
-0.01007080078125,
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0.083984375,
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-0.0272216796875,
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0.04150390625,
-0.008544921875,
0.0283203125,
0.037841796875,
0.001632... | 3,444 | 3444 | |
Intergration problem
a) Intergrate (4x+5)/(x^2 +2x + 2) b) Intergrate x^2 inversetan x thanks =)
Ad a) consider $\frac{4x+5}{x^2+2x+2}=2\cdot \frac{2x+2}{x^2+2x+2}+\frac{1}{(x+1)^2+1}$. Both terms on the left hand side are easy to integrate (by substitution). Ad b) I suggest using partial
integration (integrate $x^2$,... | 5 | [
-0.0038909912109375,
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0.1162109375,
0.0198974609375,
0.059326171875,
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0.0458984375,
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-0.017578125,
-0.00125885009765625,
-0.07568359375,
-0.035888671875,
0.048828125,... | 3,445 | 3445 | |
Understanding the Equation
August 8th 2010, 11:58 AM #1
Member
Joined
Jun 2010
Posts
205
Thanks
1
Understanding the Equation
I'm asked to show that $\frac{\pi}{4} = \displaystyle \sum^{\infty}_{n = 1} \frac{sin(2n+1)x}{2n+1}$ for $0 < x < \pi$, but if that were true then the function should be indepe... | 5 | [
-0.1337890625,
-0.0517578125,
0.0673828125,
0.1220703125,
0.07861328125,
0.0498046875,
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0.0262451171875,
0.038330078125,
-0.006256103515625,
-0.002655029296875,
-0.04931640625,
-0.000659942626953125,
0.04638671875,
-0.076171875,
-0.07421875,
0.002593994140625,
-0.0... | 3,446 | 3446 | |
more integrals
February 26th 2009, 05:54 PM
scottie.mcdonald
more integrals
still having problems with integrals. i'm stumped on how to get the four substitutions. here's the problem
evaluate the integral.
$<br /> \int_1^2 \frac{(lnx)^2dx}{x^3}<br />$
just getting $f\prime(x), f(x), g\prime(x) and... | 5 | [
0.002899169921875,
-0.02392578125,
0.0654296875,
-0.058349609375,
0.03662109375,
-0.025634765625,
-0.0703125,
-0.053955078125,
-0.00738525390625,
-0.0224609375,
0.0458984375,
0.017333984375,
-0.0201416015625,
-0.068359375,
0.0101318359375,
0.029541015625,
-0.004150390625,
-0.018310... | 3,447 | 3447 | |
Differential Equations and Initial Value Problems
Graphs solution functions
y
(
x
) to the differential equation
y
'=
f
(
x
,
y
), with initial value given by
y
(
x[0]
)=
y[0]
.
How to use || Examples || Other Notes
How... | 4 | [
-0.0177001953125,
-0.07763671875,
-0.04443359375,
-0.0142822265625,
-0.022705078125,
-0.0084228515625,
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0.07177734375,
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0.053955078125,
0.01446533203125,
0.0172119140625,
0.0810546875,
0.035400390625,
0.1025390625,
-0.0810546875,
-0.0922... | 3,448 | 3448 | |
Math Help
November 9th 2005, 07:36 PM #1
Newbie
Joined
Nov 2005
Posts
4
Hi,
I am new to college and I am an oldie and never had the stuff I am learning now. I was wandering if someone can help me with this problem.
I need to do this,
solve: 2(x-1)-3 = -3x +2
I most definately appreciate... | 4 | [
-0.107421875,
-0.0157470703125,
0.05615234375,
-0.0194091796875,
0.01263427734375,
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0.052978515625,
0.05615234375,
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0.043701171875,
0.060302734375,
-0.04638671875,
-0.0322265625,
... | 3,449 | 3449 | |
second order differential equation
April 26th 2010, 05:32 AM #1
Junior Member
Joined
Jan 2010
Posts
49
show that y1(x) = e^(2+i)x and y2(x) = e^(2-i)x, i=sqrt(-1) are two linearly independent functions
hence obtain a second order linear differential equation with constant coefficients each that y1(x)... | 4 | [
-0.060546875,
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0.0247802734375,
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0.0301513671875,
-0.002288818359375,
-0.01470947265625,
-0.034912109375,
... | 3,450 | 3450 | |
minkowski inequality
January 2nd 2010, 03:00 PM
Archi
minkowski inequality
Let $(X,F,\mu)=([0,a],\beta, \Lambda)$ be the usual Lebesgue measurable space.
Using Holder inequality, prove Minkowski inequality for any $f \in L^2(X),g \in L^2(X)$, that is $||f+g||_2 \leq ||f||_2 +||g||_2$
i am stuck and dont... | 4 | [
0.00689697265625,
0.0245361328125,
0.07421875,
-0.03369140625,
0.055908203125,
0.07373046875,
0.01708984375,
0.0693359375,
-0.0361328125,
0.0225830078125,
0.009033203125,
0.007354736328125,
0.00958251953125,
-0.030029296875,
-0.044677734375,
0.01416015625,
-0.005462646484375,
0.009... | 3,451 | 3451 | |
Analysis
January 20th 2009, 02:44 PM
Zero266
Analysis
Def: A polynomial f(x) with coefficients in Q (the rationals) is called a "numerical polynomial" if for all integers n, f(n) is an integer also.
I have to use induction to prove that for k > 0
that the function f(x) := (1/k!)*x*(x-1)...(x-k+1) is a ... | 4 | [
-0.06787109375,
0.035888671875,
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0.007354736328125,
0.006256103515625,
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0.0888671875,
0.033935546875,
-0.048828125,
0.01104736328125,
-0.048583984375,
-0.034... | 3,452 | 3452 | |
Proving equilaterial triangle using centroid and circumcenter
December 10th 2009, 06:49 AM
ReneePatt
Proving equilaterial triangle using centroid and circumcenter
I am asked to: Prove that a triangle is equilaterial if and only if its centroid and circumcenter coincide.
I know that:
(a) centroid of a t... | 4 | [
-0.068359375,
0.01483154296875,
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0.05322265625,
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0.0269775390625,
0.0269775390625,
-0.002410888671875,
-0.00506... | 3,453 | 3453 | |
Please check proof of identity.
December 27th 2011, 05:07 PM #1
Please check proof of identity.
Hello
This is the last identity, in this exercise.
$\dfrac{\cot^2\theta(\sec\theta\ 1)}{1 + \sin\theta} \equiv \dfrac{\sec^2\theat(1 - \sin\theta)}{1 + \sec\theta}$
I seem to have proved it, but I woul... | 4 | [
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0.00628662109375,
0.0235595703125,
0.06396484375,
... | 3,454 | 3454 | |
Engine Building Formulas- 2 Stroke Engines - ATV's - Quads
┌─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ ... | 4 | [
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Doubts about derivatives
July 9th 2007, 02:32 PM #1
Newbie
Joined
Jul 2007
Posts
2
Doubts about derivatives
I started to learn calculus following a book but I don’t understand the explanation of a derivative example. Here is the excerpt of the book:
Then the Pythagorean theorem tells us that
h(... | 4 | [
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Theorem 2.2.5: Cardinality of Power Sets
The cardinality of the power set P(S) is always bigger than the cardinality of S for an set S.
Proof:
The proof will be similar to proof about the uncountablility of the open interval (0,1): we will attempt to list all sets of
P(S)
next to all elements of
S
, and then exh... | 5 | [
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: Algorithms: Binary Search
Java Notes: Algorithms: Binary Search
Divide in half
A fast way to search a sorted array is to use a binary search. The idea is to look at the element in the middle. If the key is equal to that, the search is finished. If the key is less than the
middle element, do a binary search on the f... | 4 | [
0.0201416015625,
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0.003... | 3,458 | 3458 | |
Brouwer fixed-point theorem and invariant measure density
November 7th 2012, 09:29 PM
fareastmovement
Brouwer fixed-point theorem and invariant measure density
1.How to prove Brouwer fixed-point theorem in two dimensions? Assuming f is one-to-one mapping, S is a square and f(S) is contained in S, then there is a... | 4 | [
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A basketball hoop question
August 10th 2008, 09:30 AM
chopet
A basketball hoop question
A game requires you to shoot basketballs with the balls landing in either of the 3 baskets labelled A,B and C. Your ball lands in A with the probability of 1/2, and you get paid $1. It lands in B
with the probability of 1... | 5 | [
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Math Help
August 19th 2012, 09:30 AM #1
Newbie
Joined
Aug 2012
From
Brasilia
Posts
5
Unit
Hi!
I can not solve this exercise.I need help
Let A be any commutative ring with identity 1 $eq{}$ 0 .Let R be the set of all group homomorphism of the additive group A to itself with addition defined ... | 5 | [
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Closed Expression for Series
August 31st 2011, 08:41 AM #1
Member
Joined
Aug 2008
Posts
225
Closed Expression for Series
By E I mean sum from k=1 to n
Find a closed expression for
1+ E [1 / 2^(k-1)]
I used the formula for geo series and have the sum = 1 - 1/2^n. Is this correct? How do I m... | 4 | [
0.0125732421875,
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0.01507568359375,
-0.01... | 3,462 | 3462 | |
Optimization Problem
September 18th 2011, 05:23 AM
tq1088
Optimization Problem
I am really stuck with this question:
A rectangle is drawn inside a semicircle of base radius 10cm.
a) Show that the area of the rectangle is 200 sin x cos x cm^2
b) Calculate the maximum value of this area
There i... | 5 | [
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running power vs speed in Péronnet and Thibault
Yesterday I was reading Péronnet and Thibault, Mathematical analysis of running performance and world running records, Modeling Methodology Forum 1989. This article describes a power-duration model
applied to running world records. But running world records are recorded i... | 4 | [
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Bayesian Calculator
How to use the Calculator
1. To use this program for first time, work through the following example.
Suppose that 5% of people of your age and heredity have cancer.
Suppose that a blood test has been developed that correctly gives a positive test result in 80% of people with cancer, and gi... | 5 | [
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Historical Activities for Calculus - Module 1: Curve Drawing Then and Now
Curve Drawing Then and Now
It was Rene Descartes (1596-1650) who dramatically changed the mathematical landscape with his book Discours de la méthode pour bien conduire sa raison et chercher la vérité dans les sciences (A
Discourse on the Method... | 4 | [
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0.05664062... | 3,466 | 3466 | |
Proper velocity and frame-invariant acceleration in
Since last reset, you are visitor number
Introduction
Efforts to connect classical and relativistic concepts will be with us as long as classical kinematics is taught to in... | 4 | [
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Use mathematical induction to prove the truth assertions for all n≥1
April 6th 2013, 06:32 AM #1
Newbie
Joined
Jan 2013
From
United States
Posts
16
Use mathematical induction to prove the truth assertions for all n≥1
I need to prove: n^3 + 5n is divisible by 6.
n=1
1^3+5(1)=6 which is divisi... | 5 | [
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-0.039794921875,
-0.017089843... | 3,468 | 3468 | |
Algebra help
Quote:
That wont work cause I don't know how long a is.
Quote:
How would you solve for radius a with only knowing radius b and the length of x?
at this website
Tangent circles, Common external tangent line, Geometric Mean. Elearning.
http://www.gogeometry.com/problem/p3...n... | 4 | [
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-0.08447265... | 3,469 | 3469 | |
trigo>angle
sinA+3cosA=2 Angle between 0* to 360* Can use this method Rsin(A+a) to find , or?? THX FOR WHO HELPING
$\sin A + 3\cos A = 2 \hfill \\$ $\Rightarrow 3\cos A = 2 - \sin A \hfill \\$ $\Rightarrow 3\sqrt {1 - \sin ^2 A} = 2 - \sin A{\text{ (because }}\cos^2 A = 1 - \sin ^2 A) \hfill \\$ ${\text{squaring
both ... | 4 | [
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0.030... | 3,470 | 3470 | |
Homework Help
Posted by Meg on Friday, July 8, 2011 at 10:06am.
The foot of a 30-foot ladder is being pulled away from a vertical wall at a rate of 1 foot per minute. When the top of the ladder is 6 feet from the ground, at what rate is the top of the ladder
moving down the wall?
• Math Calculus - Reiny, Friday, Ju... | 5 | [
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Help please- Probability question
December 18th 2009, 04:34 AM #1
Newbie
Joined
Dec 2009
Posts
1
Help please- Probability question
I am trying to help my cousin and I am unable to get the answer that is given by the book:
Question is:
A survey is carried out on a group of 100 students, 60 of wh... | 4 | [
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-0.08... | 3,472 | 3472 | |
Please help me with these indices need urgent help :(
Attachment 26882 someone please do me with these indices eqautions showing working out aswell please!!
Re: Please help me with these indices need urgent help :(
When multiplying exponents with the same base, we add them together, so $2^4 * 2^2 <br />$ is the same... | 4 | [
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Differentiation problem (from GRE math subject test)
September 9th 2010, 03:09 PM #1
Newbie
Joined
Apr 2010
From
San Francisco
Posts
13
Differentiation problem (from GRE math subject test)
Hi everyone,
I, for the life of me, can't seem to figure this one out. It's from the GRE math subject test.... | 5 | [
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-0.002105712890625,
-0.0213... | 3,474 | 3474 | |
mathschallenge.net
Frequently Asked Questions
Can you prove the Pythagorean Theorem?
The famous Pythagorean Theorem deals with problem of diagonal measure. It was known to the Egyptians and the Chinese (circa 1500 BCE), over one-thousand years before the Greeks, but the Pythagoreans
were able to prove it to be true. ... | 4 | [
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0.0815... | 3,475 | 3475 | |
Systems of Differential Equations
Graphs solution functions
x(t)
and
y(t)
to the system of differential equations
x
'=
f
(
x
,
y
) and
y
'=
g
(
x
,
y
), with initial values given by
x
(
t[0]
)=
x[0]
and
y
(
t[0]
)=
y[0]
.
... | 4 | [
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Differential Equation Substitution
January 28th 2011, 06:46 AM
StaryNight
Differential Equation Substitution
I'm trying to solve the problem (x+y+1)^2 dy/dx + (x+y+1)^2 + x^3 = 0. I've tried the substituting for x+y+1, x+y and (x+y+1)^2 but all to no avail. Could somebody please give a suggestion? This
probl... | 5 | [
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linear maps
March 9th 2008, 06:16 AM
Deadstar
linear maps
Let T be the linear map on $P_2$ defined by
$T(p)(t) = (1+t)p^{'}(t)$
Determine the matrix of T with respect to the basis $(1, t, t^2)$ of $P_2$.
What are the eigenvalues of T? Is T diagonalisable?
March 9th 2008, 09:23 AM
Plato
I will ... | 5 | [
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Euclidean Division
Truncated, Floored, and Euclidean Division
Haskell provides two kinds of integral division: quotRem and divMod. It’s common for beginners to ask what the difference is and when you might prefer one over the other. If you came here just trying
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0.056396484375,... | 3,479 | 3479 | |
Numeric Entry GRE Sample Questions
Numeric Entry GRE Sample Questions 1
GRE Numeric Entry Sample Questions
GRE Numeric Entry Sample Questions 1 | GRE Numeric Entry Sample Questions 2 | GRE Numeric Entry Sample Questions 3 | GRE Num... | 4 | [
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plz help with asymptotes and limits
October 24th 2006, 08:57 PM
gracy
plz help with asymptotes and limits
Explain what each of the following mathematical statement mean in regard to the graph of f(x).
(1)f(2)=0
(2)lim x->0 f(x)=-infinity
(3) lim x->3+ f(x) = - infinity
(4)lim x->3- f(x)=infinity
... | 4 | [
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Statistics 101
Have you ever stood around a cocktail party discussing statistics? I didn't think so. But we hear about them all the time, especially when we're absorbing clinical trial results -- or election year
polls. Understanding the basics of statistics is not that hard to do, despite how it seemed in school!
The... | 4 | [
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0.00537... | 3,482 | 3482 | |
Finite Element Analysis Notes ME2353 FEA Notes for Mechanical 6th Sem
Finite Element Analysis Notes ME2353 FEA Notes for Mech 6th Sem
Tags : Anna University, MECH, Notes, VTU, VTU Notes, Lecture Notes, ME2353 anna university Notes, Mech 6th Sem Notes, Mech 6th Semester, MECH notes, VTU Finite Element Analysis Notes.
... | 4 | [
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Weird rate problem.
March 19th 2009, 04:49 AM #1
Newbie
Joined
Mar 2009
Posts
5
Weird rate problem.
A hemispherical bowl has a radius of 3.7m. Water is added to the bowl at the rate of $pi/3$$m^3/min$. When the depth of water in the bowl is $h$ m, and volume of water is given by $V= (1/6)pi*h^2
(9-2h... | 4 | [
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Re-aranging letters
March 27th 2010, 08:07 PM #1
Junior Member
Joined
Jan 2010
Posts
43
I've been stuck with the last two problems of this question using the fundemental counting principle.
Determine the number of distiguishable four letter arrangements that can be formed from the word Germany if:
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dividing polynomials
What I need to do here? 8^6*3^20+2^18*9^10 6^19 Hope you can help me Thanks
If this is a simple problem for everybody, then there are no difficult problems. It is simple for those who know how to solve it. I can solve it in 3 lines only, but can you follow the solution? [8^6
*3^20 +2^18 *9^10] / 6... | 4 | [
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Set Proofs
March 5th 2008, 05:31 PM #1
Junior Member
Joined
Feb 2008
Posts
37
Set Proofs
Prove the following
1. A U B = B Intersection A iff A = B
=> If A U B = B intersect A then A = B
Pf: Let x be in A
<= If A = B then A U B = B intersection of A
Pf: Let
2. A is a subset of B ... | 4 | [
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probability help please
March 26th 2008, 08:17 PM #1
Newbie
Joined
Mar 2008
Posts
20
How many 13 digit numbers are palindromes and have at least one place where a digit is doubled. A palindrome is the same read forwards or backwards, like bob, racecar, or 57975.
For example:
1234456544321
910... | 4 | [
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Homework Help
Posted by Melissa on Friday, November 2, 2012 at 1:02am.
Jared can paddle his canoe 1 mile upstream in 1 hour, but it takes only a half hour to paddle back the same distance. Find the speed of water. (Hint: d=rt and the rate or canoe speed, depending on
which way he is going.)
• Math - Steve, Friday, ... | 4 | [
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Severe Discrepancy Determination by Formula
Kate obtains an IQ score of 90 and an achievement score of 74. Is this 16-point difference large enough to be considered a ‘significant difference’ between ability and achievement? Below is a table... | 5 | [
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Integration
Hi just wondered how to integrate this ∫(x+2)/(x²+1) im making (x+2)ln(x²+1) doesn't look right lol
Separate into two integrals: $\int \frac{x}{x^{2}+1}\,\,dx + \int \frac{2}{x^{2}+1}\,\,dx$ $\frac{ln(x^{2}+1)}{2} + C_{1} + 2tan^{-1}(x) + C_{2}$ $\frac{ln(x^{2}+1)}{2} + 2tan^{-1}(x) + C$
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Help with this equation please: cb^n + kb^m = 0
June 9th 2007, 08:08 AM #1
Newbie
Joined
Jun 2007
Posts
6
Help with this equation please: cb^n + kb^m = 0
Hey, I dont know whether you can do this or not, cant remember
cb^n + kb^m = 0
where c, k, n, m are constants
Any help would be much ap... | 4 | [
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Week 2 Lab by Viyroz
Week 2 Complete Lab
1. Solve the exponential equation by expressing each side as a power of the same base and then equating exponents. 6 x = 216 x = 3 2. Solve the exponential equation. Express the solution in terms of
natural logarithms. Then use a calculator to obtain a decimal approximation for ... | 4 | [
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0... | 3,493 | 3493 | |
cross sections
December 20th 2009, 05:44 PM #1
Newbie
Joined
Nov 2009
Posts
18
cross sections
Question is
Let f(x, y) = 100 + 10x + 25y – x^2 – 5y^2.
a. Describe the cross section of the surface Z = f(x, y) produced by cutting it with the planes Y = 0, y = 1, y = 2, and y = 3.
b. Describe the... | 4 | [
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liner inequalities
October 10th 2006, 11:51 PM #1
Newbie
Joined
Sep 2006
Posts
9
liner inequalities
could some one show me the easiest way to graph liner inequalities like this
Also what if the problem has two inequalities for one question
problem 2x + 5y > -10
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l
Glossary
A
Addition Rule
Adequacy of a Linear Model
Alternative Hypothesis or H[a]
ANOVA
Assumptions of the Linear Regression Model
B
Bar Chart
Between-Groups Variation
Biased Sample
Binomial Distribution
Binomial Random Variable
Binomial Setting
Bivariate Data
Boxplot (or Box-and-Whisker Plot)
C
Categorical Va... | 4 | [
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Design, Analysis and Generalization of Polynomial Predictive Filters
Koppinen, Konsta
Publication type: Doctoral dissertation
Issue date: 2003-10-02
ISBN: 952-15-1077-3
ISBN (PDF): 952-15-1424-8
ISSN: 1459-2045
Language: en
Belongs to: Tampereen teknillinen yliopisto. Julkaisu - Tampere University of Technology... | 4 | [
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Introduction to Robotics #10: Extended Kalman Filter
The location of a robot is subject to uncertainty due to wheel-slip and encoder noise. We learned in the past how the variance in position can be derived from the variance of the robot’s drive train
using the error propagation law and the forward kinematics of the ro... | 4 | [
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s
Doing Statistics with Excel 5.0 for Windows
An Introductory Course Supplement
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