content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Definition
32.1 Definitions
The discrete Hankel transform acts on a vector of sampled data, where the samples are assumed to have been taken at points related to the zeroes of a Bessel function of fixed order; compare this to
the case of the discrete Fourier transform, where samples are taken at points related to the... | 4 | [
-0.1259765625,
0.037353515625,
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0.022216796875,
0.0301513671875,
0.042724609375,
-0.0223388671875,
0.064453125,
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-0.0595703125,
0.022705078125,
-0.10205078125,
-0.0023040771484375,
0.... | 18,700 | 18700 | |
Existence of inversion
May 18th 2010, 08:37 PM
Pinkk
Existence of inversion
Let $p$ and $q$ be circles with unequal radii. Prove there exists an inversion that maps $p$ onto $q$.
So my idea was this:
Proof:
Choose an axis that passes through both centers of the circles (so that the axis contains t... | 4 | [
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0.058837890625,
... | 18,701 | 18701 | |
show vector satisfies given DE
January 3rd 2007, 08:46 PM #1
Newbie
Joined
Dec 2006
Posts
9
show vector satisfies given DE
Hi,
I am very rusty with my math, and need help understanding how to approach this type of problem.
(problem)
verify that the given vector satisfies the given different... | 5 | [
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-0.02197265625,... | 18,702 | 18702 | |
Nonsingular Einsteinian Cosmology: How Galactic Momentum Prevents Cosmic Singularities
Journal of Gravity
Volume 2013 (2013), Article ID 617142, 3 pages
http://dx.doi.org/10.1155/2013/617142
Research Article
Nonsingular Einsteinian Cosmology: How Galactic Momentum Prevents Cosmic Singularities
6400 N. Sheridan No. 2... | 4 | [
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0.03881835... | 18,703 | 18703 | |
[SOLVED] bijection between [a,b], [a,b) and (a,b)
April 23rd 2010, 08:27 AM #1
Junior Member
Joined
Apr 2010
Posts
33
[SOLVED] bijection between [a,b], [a,b) and (a,b)
This is another exercise from Charles Chapman book, Real Mathematical Analysis, that I haven't been able to solve:
To find a bijecti... | 5 | [
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-0.0341796875... | 18,704 | 18704 | |
NEW SET of good PS(3)
Author Message
TAGS:
NEW SET of good PS(3) [#permalink] 17 Oct 2009, 17:33
5
This post received
... | 5 | [
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0.0274658203125,
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0.03515625,
0.0559082... | 18,705 | 18705 | |
Math Help
lim.....asinx-sin2x/tan^3x is finite,find the value of 'a' and find the limit. x->0
We can rewrite as: $\lim_{x\to 0}\frac{(a-2cos(x))cos^{3}(x)}{sin^{2}(x)}$ Look at $a-2cos(x)$ What if a=2, what is the limit?.
I'm assuming that this is your limit expression ... $\lim_{x \to 0} \frac{a\sin{x} - \sin(2x)}{... | 5 | [
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Limit problem
August 25th 2012, 06:51 AM
DonnieDarko
Limit problem
I need to found a limit, x->0 of (e^x + sinx)^ctgx, but without L'Hospital rule. I know how to get it with L'H, and I see it is 1^inf form, and i need to get it on form 1 + somthing, but how ?
Any ideas?
August 25th 2012, 06:54 AM
Prove It
... | 5 | [
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Review Carbon 14 Dating with This Sample Chemistry Problem
Introduction
In the 1950s W.F. Libby and others (University of Chicago) devised a method of estimating the age of organic material based on the decay rate of carbon-14. Carbon-14 dating can be used on objects
ranging from a few hundred years old to 50,000 year... | 5 | [
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Physics Forums - View Single Post - Earth, Sun, Moon Orbit
Natko
Thanks for the quick reply!
Can you explain this in more understandable terms as I am only in Grade 9 please, especially what you mean by "gradient," "field," and the "1/r3 factor".
The earth as a whole is accelerating toward the moon. This accelerat... | 4 | [
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What am I doing wrong?
November 23rd 2012, 10:42 PM #1
Newbie
Joined
Nov 2012
From
Los Angeels, CA
Posts
14
What am I doing wrong?
What am I doing wrong?
|2x+1|<|x+3| Solve for x.
So the correct answer is -4/3<x<2 based on my deductions. But my problem is my solution generates more answers... | 4 | [
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Math Help
September 16th 2011, 07:32 AM #1
Member
Joined
Jan 2011
Posts
156
Volumes
The base of S is a circular disk (most would call this a circle!) with radius r. Parallel cross sections perpendicular to the base are isosceles triangles with height h and unequal side of the
base.
a) Set up the... | 5 | [
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... | 18,711 | 18711 | |
Inverse trigonometric function
arc tan [1/{(x^2)-1}^(1/2)].....mod x >1. I am asked to write it in the simplest form.....how do i proceed?
The answer in the book is itself an inverse trigonometric function....actually the answer is in the order of arc sec......but i don't know the way to proceed.
Hello, tariq_h_tauhe... | 4 | [
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M(t) calculus - can you pls double check?
January 31st 2008, 10:25 PM
paolopiace
M(t) calculus - can you pls double check?
Hello...
Would someone please double check and see if I make mistakes in the calculus of this integral?
Thanks in advance!
$<br /> M_X(t)=\int_0^\infty 2 \lambda x\ e^{-\lambd... | 5 | [
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More max/min (sort of)
October 22nd 2009, 05:49 PM
Open that Hampster!
More max/min (sort of)
We need to find:
-Find the interval where the function is decreasing.
-Find the inflection point.
-Find the interval where the function is concave up/down
$F(x) = ln(4-ln(x))$
$F'(x) = \frac{1}{4-l... | 4 | [
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... | 18,714 | 18714 | |
calculating error via linear approximation
September 10th 2008, 04:22 AM
Craka
calculating error via linear approximation
Trying to understand this. Problem states "The radius of a circular disk is given as 24cm with a maximum error of 0.2cm. An estimate, via linearisation, of the maximum error in the calculated... | 4 | [
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find the limit of the sequence
November 30th 2007, 04:11 PM
bartendorsparky
find the limit of the sequence
find the limit of the sequence: (n!) ^ (1/n) as n -> infinity
i don't even know where to start on this one. i think if i get a nod in the right direction i'd be able to get it, so can anyone here give ... | 5 | [
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Derivative of inverse tangent function
1. The problem statement, all variables and given/known data
Find derivative of tan[itex]^{-1}[/itex]([itex]\frac{3sinx}{4+5cosx}[/itex])
2. Relevant equations
deriviative of tan[itex]^{-1}[/itex]=[itex]\frac{U'}{1+U^{2}}[/itex]
3. The attempt at a solution
I found U'= [ite... | 4 | [
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Introducing division strategically in operads to accommodate formulas like the Baker-Campbell-Hausdorff formula
up vote 12 down vote favorite
5
I am not as familiar with operad terminology as I'd like to be, so I might be missing some well-known term in the area. If so, I'd appreciate any pointers to the correct terms... | 4 | [
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A Data-Driven Noise Reduction Method and Its Application for the Enhancement of Stress Wave Signals
The Scientific World Journal
Volume 2012 (2012), Article ID 353081, 7 pages
http://dx.doi.org/10.1100/2012/353081
Research Article
A Data-Driven Noise Reduction Method and Its Application for the Enhancement of Stress ... | 4 | [
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0.020874... | 18,719 | 18719 | |
Simple question on variance
December 2nd 2008, 12:12 PM #1
Newbie
Joined
Apr 2008
Posts
12
Simple question on variance
Let X and Y be random variables with mean E(x)= u(1) = 1, E(y)=u(2) = 4, and variance, var(x) = 4, var(y) = 6 , and roe, p = 1/2.
Find the mean and the variance of Z = 3x -2y. The an... | 4 | [
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-... | 18,720 | 18720 | |
Math Help
July 19th 2009, 11:11 PM #1
Junior Member
Joined
Jun 2009
Posts
25
Practice
A particle of mass m moves under the influence of a central force whose magnitude is given by f(r) = kr, where k > 0. (The particle is thus repelled by the force center.) At some instant $t_{0}$,
the particle is ob... | 4 | [
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Please help.. this is a 5 part answer... PLEASE HELP
Word Problem Answers (8,113)
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Pre-Algebra Answers (11,115)
Suppose you are out on the town with friends and ... | 4 | [
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Practice Questions for test
March 23rd 2008, 01:48 PM
polymerase
Practice Questions for test
Hey Everyone,
First let me start by saying, I'm not sure if such a book exist.
Does anyone know of any good textbooks/books/reference books for first year (single variable, early transcendentals) Calculus, that... | 4 | [
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0.000293... | 18,723 | 18723 | |
Expected values & Moment-generating function (MGF)
November 30th 2011, 08:47 PM
charmagne
Expected values & Moment-generating function (MGF)
Having a little trouble with this problem. Thank you in advance!
A random variable Y has a density function f(y) = e^y, y < 0.
1. Find E(e^(3Y/2))
2. Find MFG ... | 5 | [
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Circles in Maths
Top
Sub Analytical Maths is basically the part of Algebra, it generally deals with the points, circles, lines, etc. The other name of analytical Geometry is coordinate geometry. Here we will study
Topics about the circles in maths. To understand the Circle in maths first we must go through its de... | 4 | [
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... | 18,725 | 18725 | |
Probability Problem: Lottery Tickets
June 1st 2010, 03:40 AM #1
Member
Joined
Jan 2009
Posts
98
Hello everyone!
I have been working on (or rather, looking at) this problem for hours on end, and I am still unable to complete it. For a textbook question, it seems quite difficult to me. What is wrong wit... | 4 | [
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-0... | 18,726 | 18726 | |
if X^2=y+5 , y=z-2 , z=2x Is x^3 + y^2 +z divisible by 7 a)
Author Message
TAGS:
if X^2=y+5 , y=z-2 , z=2x Is x^3 + y^2 +z divisible by 7 a) [#permalink] 02 May 2007, 16:37
saurabhmalpani
... | 4 | [
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prove a equality
Here is an outline of a proof. The full argument is quite long. Step 1. If $0<\theta<\pi/2$ then $\sqrt{1+\cos\theta}+\sqrt{1+\sin\theta} = (1+\sqrt2)\bigl(\sqrt{1-\cos\theta}+\sqrt{1-\sin\theta}\
bigr).$ Reason: Let $t = \tan(\theta/2)$. Using the relations $\cos\theta = \tfrac{1-t^2}{1+t^2}$ and $\si... | 5 | [
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Orthogonal transformations
1. The problem statement, all variables and given/known data
Given two sub-spaces of R^n - W_1 and W_2 where dimW_1 = dimW_2 =/= 0.
Prove that there exists an orthogonal transformation T:R^n -> R^n so that
T(W_1) = T(W_2)
2. Relevant equations
3. The attempt at a solution
If dimW_1 = dim... | 4 | [
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0.... | 18,729 | 18729 | |
Integrate this
How would you integrate this [ 1 / (49*e^(-4x) + e^(4x)) ] im stuck.
$\int {\frac{1}{{49e^{ - 4x} + e^{4x} }}dx} = \int {\frac{{e^{4x} }}{{49 + e^{8x} }}dx} = \frac{1}{{49}}\int {\frac{{e^{4x} }}{{1 + \frac{{e^{8x} }}{{49}}}}dx}$ $\frac{1}{{49}}\int {\frac{{e^{4x} }}
{{1 + \left( {\frac{{e^{4x} }}{7}} \... | 5 | [
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Simple Integral Question (I think it's simple)
February 13th 2010, 11:08 AM #1
Super Member
Joined
Nov 2008
Posts
597
Simple Integral Question (I think it's simple)
I am supposed to know this by heart and I do:
http://www.wolframalpha.com/input/?i=integral+(1%2F(x^2+%2B+1))
However, on a specifi... | 5 | [
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Patent US5148090 - Variable reluctance type ac servo motor
TECHNICAL FIELD
The present invention relates to an AC servo motor of the variable reluctance type, more particularly it relates to an AC servo motor of the variable reluctance type which does not generate torque
ripple.
BACKGROUND ART
In general, since a va... | 4 | [
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0.03857... | 18,732 | 18732 | |
integration problem
February 23rd 2008, 03:14 PM #1
Member
Joined
Jan 2008
Posts
154
integration problem
1. $\int_{\bold{R}} xy \ dx \ dy, \ \ \ R = \text{triangle with vertices at} \ (1,0), (2,2) \ \text{and} \ (1,2)$.
Is this equaled to $\int\limits_{1}^{2} \int\limits_{2x-2}^{2} xy \ dy \ dx = -\... | 5 | [
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Positive integer not divisible by 7
January 14th 2011, 06:02 AM #1
Member
Joined
Sep 2009
Posts
145
Positive integer not divisible by 7
Hi,
Is there a simple explanation for this?
The positive integer $n$ is not divisible by $7$. The remainder when $n^2$ is divided by 7 and the remainder when ... | 4 | [
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limit at infinity of sum of arithmetic sequence
January 12th 2007, 06:24 AM
ling_c_0202
limit at infinity of sum of arithmetic sequence
First,
a = (1 + 2 + 3 + ... + n) / (n^2)
When I try to find the limit of a when n tends to infinity,
I have tried two ways:
1. I converted a to
2 - [(1 / ... | 4 | [
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I collected questions from different papers and I tried to solve them by myself and
February 25th 2010, 04:18 AM #1
Senior Member
Joined
Oct 2009
Posts
290
I collected questions from different papers and I tried to solve them by myself and
Hi
I collected questions from different papers and I tried ... | 5 | [
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Kummer
Citizendium - building a quality free general knowledge encyclopedia. Click here to join and contribute—free
Many thanks December donors; special to Darren Duncan. January donations open; need minimum total $100. Let's exceed that.
Donate here. By donating you gift yo... | 4 | [
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Really hard word problem
October 4th 2009, 04:53 PM #1
Banned
Joined
Sep 2009
Posts
16
Really hard word problem
In a financial arrangement, you are promised $900 the first day and each day after that you will receive 75% of the previous day's amount. When one day's amount drops below $1, you stop getting... | 4 | [
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... | 18,738 | 18738 | |
Patente US4956863 - Cryptographic method and apparatus for public key exchange with authentication
BACKGROUND OF THE INVENTION
This invention relates generally to cryptographic systems and, more particularly, to cryptographic systems in which an exchange of information on an unsecured communications channel is used to... | 4 | [
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0.001564025878... | 18,739 | 18739 | |
search results
Expand all Collapse all Results 1 - 13 of 13
1. CMB 2013 (vol 57 pp. 364)
How Lipschitz Functions Characterize the Underlying Metric Spaces
Let $X, Y$ be metric spaces and $E, F$ be Banach spaces. Suppose that both $X,Y$ are realcompact, or both $E,F$ are realcompact. The zero set of a vector-... | 4 | [
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-0.... | 18,740 | 18740 | |
Finding a vector from the sides of a triangle
November 13th 2009, 09:18 AM #1
Newbie
Joined
Nov 2009
Posts
5
Finding a vector from the sides of a triangle
In a triangle ABC the point M is located on the side BC such that the ratio of
the lengths of the segments BM and MC is L,
i.e., lBMl: lMCl= ... | 4 | [
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-0.... | 18,741 | 18741 | |
Patent US7134066 - Generalized parity stripe data storage array
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to storage systems. In particular, the present invention relates to a system and a method that utilizes a modified parity check matrix for increasing the number of
storag... | 4 | [
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How to find absolute extrema.
November 12th 2012, 08:39 AM #1
Member
Joined
Oct 2011
Posts
153
How to find absolute extrema.
Well I have a problem like:
f(x) = 3x^2^/3 - 2x, Interval: [-1, 1]
So this is what I did first:
Found the derivative: 2x^-1/3-2
0 = 2x^-1/3-2
x = 1
OR
f... | 4 | [
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0.006927490234375,... | 18,743 | 18743 | |
Euler Through Time: A New Look at Old Themes
Preface vii
Chapter 1. Leonhard Euler (1707-1783) 1
1.1. Introduction 1
1.2. Early life 5
1.3. The first stay in St. Petersburg: 1727-1741 8
1.4. The Berlin years: 1741-1766 11
1.5. The second St. Petersburg stay and the last years: 1766-1783 12
1.6. Opera Omnia 13
1... | 4 | [
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0.00... | 18,744 | 18744 | |
Help with solution to partial differential equation
vela
You assume a solution of the form [itex]\psi(r,\phi)=R(r)\Phi(\phi)[/itex] and plug it into the equation. It'll separate into chunks that depend only on one variable, allowing you to write down two
differential equations, one for each function.
Thanks vela. H... | 4 | [
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... | 18,745 | 18745 | |
Patent US7428337 - Automatic design of morphological algorithms for machine vision
CROSS REFERENCE TO RELATED APPLICATIONS
This application claims the benefit of U.S. Provisional Application Ser. No. 60/346,995, filed on Jan. 9, 2002, which is incorporated by reference herein in its entirety.
FIELD OF THE INVENTION
... | 4 | [
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Differentiable question
April 21st 2010, 05:46 PM
shuxue
Differentiable question
Suppose that f,g,h, are real valued func on(a,b) and x0 belongs to (a,b). assume that f and h are differentiable at x0 and f(x0)=h(x0). f(x)<=g(x)<=h(x) for all x in (a,b). show that g is also
differentiable and f'=g'=h' at x0.
... | 4 | [
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... | 18,747 | 18747 | |
Algebra, Problems For Fun (28)
July 2nd 2009, 10:29 AM #1
MHF Contributor
Joined
May 2008
Posts
2,295
Thanks
7
Algebra, Problems For Fun (28)
Definition: Let $V$ be a vector space. A linear transformation $T: V \longrightarrow V$ is left (right) invertible if $ST=\text{id}_V$ ( $TS=\text{id}_V$), for... | 5 | [
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0.0... | 18,748 | 18748 | |
Beta Distribution Proof
January 28th 2009, 10:17 AM #1
Newbie
Joined
Jan 2009
Posts
5
The probability p of an event is supposed to have a prior distribution
Beta(a,B) so that its prior density is
f(p) = [B(α, β)]^-1 p^(α-1) (1-p)^(β-1)
Show that for any constant d,
E[p(1-p)(p-d)2] is mi... | 4 | [
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Patent US20030026339 - Method of encoding a sequence of frames
[0001] The present invention generally relates to video compression and, more specifically, to a method for encoding a sequence of frames by means of a three-dimensional (3D) subband decomposition
involving a spatial and temporal filtering step applied to t... | 4 | [
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0.... | 18,750 | 18750 | |
Vector calculus question
March 13th 2013, 11:29 AM #1
Junior Member
Joined
Oct 2011
Posts
37
Vector calculus question
Hi - I'm totally stuck with this question: how to interpret it and tackle it. Any advice woiuld be greatly received!! We've not covered anything like this in classes...
Let
$A =... | 5 | [
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Physics Forums - Complex Power Series Radius of Convergence Proof
Complex Power Series Radius of Convergence Proof
1. The problem statement, all variables and given/known data
If f(z) = [itex]\sum[/itex] a[n](z-z[0])^n has radius of convergence R > 0 and if f(z) = 0 for all z, |z - z[0]| < r ≤ R, show that a[0] = ... | 4 | [
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KE-1/2mv^2
P: 8 hi I am new and new to physics i am have alot of trouble with this problem
mass =1.3kg
41.5J
how do i get the velocity
so far i have it wrote like this
41.5J=1/2(1.3kg)(v)^2
... | 4 | [
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Tidal Elongation
Next: Roche Radius Up: Gravitational Potential Theory Previous: McCullough's Formula
Consider two point masses, 41. We know, from Section 6.3, that
and
where
Let us transform to a non-inertial frame of reference which rotates, about an axis perpendicular to the orbital plane and passing through s... | 4 | [
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Trig Problems in 3D
November 7th 2010, 05:54 PM
SOHCAHTOA
Trig Problems in 3D
I'm currently learning this in math...but I have no clue on how to start the question! This is a 3D trigonometry question so I know it's best to always draw a diagram first. Problem is, I don't
how where to begin (Crying)
The ... | 4 | [
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-0.011352... | 18,755 | 18755 | |
Related Rates
May 19th 2011, 12:59 AM
Jon123
Related Rates
Hello!
I have a question in regards below, and have answered the question but do not understand number line 5, could you please explain the reason for this.
A water tank has the shape of an inverted circular cone with base radius 3m and height ... | 5 | [
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Power and chain rule
grollio
Find the derivative of y = [x + (x + (sin(x)^2))^5]^3
I know that power and chain rule combined uses the equation
n[g(x)]^n-1 * g'(x)
I don't even really know where to start with so many layers in the equation. I can only find examples with only one power. with my attempt I got
3(5x+... | 4 | [
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"Cans of Paint" Word Problem
October 13th 2009, 09:32 PM #1
Junior Member
Joined
Oct 2009
Posts
38
"Cans of Paint" Word Problem
Hey guys, this problem has been giving me a headache for the last hour, and its the last problem I need to do before my homework is due in an hour and a half! Help!
I have ... | 4 | [
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-0.0296... | 18,758 | 18758 | |
Dual of a Polyhedron
For every polyhedron there is another polyhedron that is intimately connected to it, that is uniquely defined by it. This related polyhedron is called the Dual Polyhedron.
Let me jump ahead here and tell you ... | 4 | [
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0.... | 18,759 | 18759 | |
inequality
May 31st 2010, 02:49 PM #1
Banned
Joined
Jul 2009
Posts
107
inequality
Challenge problem:
Given:
1) $x^2-2ax+b=0$ with $beq 0$
2) $|x_{2}|< |x_{1}|$,where $x_{1},x_{2}$ are the roots of the above equation
Prove:
$2(2a^2-b)-|b|< x_{1}^2<2(2a^2-b)$
Moderator appro... | 4 | [
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-0... | 18,760 | 18760 | |
Math Help
April 29th 2009, 08:13 AM #1
Newbie
Joined
Apr 2009
Posts
14
Modules
Let p be any odd prime number and set A = {0, 1, 2, . . . , p − 1}. Show there are exactly
two solutions x belongs to 2 A which satisfy (x^2) ≡ 1 (mod p).
Last edited by smithhall; April 29th 2009 at 01:40 PM.
Arith... | 5 | [
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Physics Forums - View Single Post - Units problem in Keplerian equation
In a book on Celestial Mechanics by J. Tatum, I find this for a circular orbit:
"if we suppose that a planet of mass m is in a circular orbit of radius a around a Sun of mass M, M being supposed to be so much larger than m that the Sun can be reg... | 5 | [
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Solving Algebraic Fractions
October 16th 2010, 02:39 PM #1
Newbie
Joined
Oct 2010
Posts
2
Solving Algebraic Fractions
I'm having to solve some algebraic fractions, which is like normal algebra, but with fractions involved basically. I've got this:
$<br /> \frac{1}{x+1}+\frac{1}{x-1}=4<br />$
An... | 4 | [
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-0.053466... | 18,763 | 18763 | |
Relations between similar limits?
May 20th 2009, 03:16 PM #1
Junior Member
Joined
Nov 2008
Posts
68
Relations between similar limits?
Sorry about the vague title. I've made apost similar to this... Here it goes:
Give an epsilon - N proof that:
if a[n] -> a then a[n]^2 -> a^2
and the same f... | 5 | [
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-0.0366... | 18,764 | 18764 | |
GMAT Algebra
• GMAT Prep (USA)
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•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
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□... | 4 | [
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Brevet US7219034 - System and methods for display of time-series data distribution
CROSS-REFERENCE TO RELATED CASES
This application claims priority to and the benefit of, and incorporates herein by reference, in its entirety, provisional U.S. patent application Ser. No. 60/322,021, filed Sep. 13, 2001. This
applicati... | 4 | [
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Gravity and vector component
I was thinking about gravity, and it seems strange that point masses really work, one question, since I am not that great with relativity is: does GR take density into account? For instance in
Newtonian gravity, the distance from the planet's surface doesn't make a difference, it seems in t... | 5 | [
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Find the area of the region enclosed
Find the area of the region enclosed between can anyone help with this one.
$<br /> dA = f(x) - g(x) <=> A = \int {f(x) - g(x)}\$ where f(x) is the top-function So, figure out what function is above the other and get the anti derivative, then put in your limits
so the anti derivat... | 5 | [
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0.... | 18,768 | 18768 | |
Physics Forums - View Single Post - Christoffel symbols
Marin
Hi all!
I read about tensor analysis and came about following expressions, where also a questions arose which I cannot explain to me. Perhaps you could help me:
I: Consider the following expressions:
[tex]d\vec v=dc^k e^{(k)}[/tex]
[tex]d\vec v=dc^k e... | 4 | [
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0.095... | 18,769 | 18769 | |
Indefinite Integrals
August 4th 2010, 08:07 PM
john-1
Indefinite Integrals
Can someone show me the steps to finding the integral of (x+1)/(x^2+2x) [ln(x^2+2x)] dx
I'm not sure where to begin because I don't have any integration rules with the lnx
August 4th 2010, 08:12 PM
pickslides
August 4th 2010, 08:14... | 5 | [
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2 colourable tree
October 12th 2010, 03:27 AM
usagi_killer
2 colourable tree
Prove that all trees are 2-colourable, from this are all trees there planar or not? Justify your answer.
I am just stuck on how to start this question, how do I prove all trees are 2-colourable...
Many thanks!
October 12th 20... | 5 | [
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Physics Forums - View Single Post - MATLAB question regarding demographic stochasticity
chuy52506
A population follows this equation:
x(n+1)= 0 if x(n)≤2 and p(n+1) = A*x(n)-B if P(n)>2
Where A=Normal(1.1,0.2) and B=Normal(100,20)
Let the initial population x(0)=1000
So far i created this mfile:
xlist = [];
x0=100... | 4 | [
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directional derivative
July 6th 2008, 07:51 PM #1
Junior Member
Joined
Apr 2008
Posts
30
directional derivative
Find the directional derivative of f x, y = 3 x^2 y at the point (1,2) in the direction of v= 3 i+4 j .
after i find the unit vector i am lost...can anyone help???
The directional der... | 5 | [
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Finding the integer solutions to an equation
February 12th 2011, 06:23 AM #1
Newbie
Joined
Nov 2008
Posts
12
Finding the integer solutions to an equation
Problem :
A teacher has just completed writing the final examination for his course in mathematics. This examination has 12 questions, whose total ... | 5 | [
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Trignometric equation help.
February 4th 2008, 02:18 AM #1
Newbie
Joined
Feb 2008
Posts
4
Trignometric equation help.
Solve each equation on the interval 0<= θ < 2n
1) sinē θ - cosē θ = 1 + cos θ
2) cos (2θ) + 6 sinē θ = 4
Thanks in advance guys.
1) Replace $\sin^2 \theta$ with $1 - ... | 4 | [
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Linear Dependence
You need to show that it is possible to construct at least one of the elements from a linear combination of the other three. For example, let's try to construct -5 = a(5sin^2(x)) + b(cos^2(x)) + c
(tan(x)) where a, b, and c are constants. Note that sin^2(x) + cos^2(x) = 1 is a constant, so let c = 0 a... | 4 | [
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-0.02258300781... | 18,776 | 18776 | |
Einstein's Zurich Notebook
A Peek into Einstein's Zurich Notebook
John D. Norton
Center for Philosophy of Science
Department of History and Philosophy of Science
University of Pittsburgh
This page at www.pitt.edu/~jdnorton/Goodies
For more images and much more commentary on the Zurich Notebook, look here.
Setting th... | 4 | [
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-... | 18,777 | 18777 | |
Calculating flux without using divergence theorem
June 13th 2011, 07:40 AM
imagemania
Calculating flux without using divergence theorem
Ok i have done majority of the working for this, but get a bit stuck on a conventional basis. Though i may of gone wrong.
Quote:
Evaluate the flux $\iint_{s} \vec{F}.d... | 5 | [
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0.0319824... | 18,778 | 18778 | |
Greatset Common Divisor (GCD) Questions
February 3rd 2013, 05:30 PM #1
Newbie
Joined
Jan 2013
From
Taiwan
Posts
17
Greatset Common Divisor (GCD) Questions
Q1) Are the GCD, Greatest Common Factor (GCF) and Highest Common Factor (HCF) all referring to the same thing?
I'm using the GCD to simplify ... | 4 | [
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... | 18,779 | 18779 | |
Getting A Grip On Clutch And Brake Selection
FRANK J. FLEMMING
President
Ogura Industrial Corp.
Somerset, N.J.
Tell a junior engineer to pick an electro-magnetic friction clutch for a new application and all you may get is a look of confusion. But choosing the right clutch is easier than most people think.
And the sam... | 4 | [
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-0.0123291... | 18,780 | 18780 | |
increasing annuities
November 13th 2009, 10:51 PM #1
Newbie
Joined
Oct 2009
Posts
6
increasing annuities
rent on a property is payable continously for 5yrs.The rent in first yr is 3000 and thereafter annual rent increases 500 per annum.Calculate present value at start of five yr period using an
annua... | 5 | [
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-0.05419921875,... | 18,781 | 18781 | |
Patent US4924422 - In a computing system
FIELD OF THE INVENTION
The present invention relates to the field of digital computer operations. More specifically, the present invention relates to the prediction of a condition code reflecting the result of an executing
arithmetic operation.
BACKGROUND OF THE INVENTION
The... | 4 | [
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Physics Forums - Simple question regarding anyons
ReyChiquito Jun4-04 07:59 PM
Simple question regarding anyons
I have a simple question regarding the flux-tube model for anyons. It may sound complicated but it isnt. So here we go.
Considering the interaction term [tex]L_{s}=\frac{\hbar\theta}{\pi}\dot{\phi}[/t... | 4 | [
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Definate Integrals
March 4th 2008, 08:37 PM
Truthbetold
Definate Integrals
The inequality $sec x \geq 1 + \frac{x^2}{2}$ holds on (pi/x, -pi/2). Use it to find a lower bound for the value of $\int \sec x dx$on the interval [0,1].
(I need LaTex help with putting the numbers up on the integral)
I have no... | 5 | [
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Square roots of complex numbers
In fact, it is easy to show that any non-zero complex number has precisely n distinct nth roots:
Let [itex]z= re^{i\theta}[/itex] with r> 0. Then the nth roots of z are given by [itex]r^{1/n}e^{i(\theta+ 2k\pi)/n}[/itex] where [itex]r^{1/n}[/itex] is the positive real nth root of the p... | 4 | [
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Percent Error (Simple Problem?)
October 22nd 2008, 10:56 AM
jackbunny
Percent Error (Simple Problem?)
Hi, I'm new here, but I was looking for some help with a Calc problem and here I am. Odd thing about this problem is we worked it out in class, but when checking the answer it seems wrong. I
talked to my cal... | 5 | [
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he
The GLIBC random number generator
Written Jan 4, 2007.
The GNU C library's random() function provides pseudo-random numbers via a linear additive feedback method. A description of the exact algorithm used is hard to find, so I hav... | 4 | [
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Proposition 14
If with any straight line, and at a point on it, two straight lines not lying on the same side make the sum of the adjacent angles equal to two right angles, then the two straight lines are in a
straight line with one another.
With any straight line AB, and at the point B on it, let the two straight li... | 4 | [
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ln Limit
Quote:
Is there any other way...? I really unfamilar with the series (Mercator, taylor etc.) stuff.
Re: Limit
First, you can use the properties of logarithms to take $\ln (\sqrt{1+3x+x^5}) = \tfrac{1}{2}\ln (1+3x+x^5)$. Then, you can use the fact that for small x ( $|x| \ll 1$), $\ln (1+x) \appr... | 5 | [
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[SOLVED] rate problem
October 11th 2007, 01:23 PM
jst706
[SOLVED] rate problem
A spherical balloon is being inflated at a constant rate of 25cm/sec. At what rate in cm/sec is the radius of the balloon changing when the radius is 2cm?
I have the volume which is 4/3*(pi)*8.
I thought the answer would be ... | 4 | [
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Word problem
July 27th 2009, 12:49 PM
Vicky1997
Word problem
A dart board is designed to have two scoring areas, as shown. If an unlimited number of darts is allowed, what is the largest finite score that cannot be attained?
I couldn't draw the two circles so I'll explain. If the dart landed on the outer ci... | 5 | [
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Limits
April 3rd 2006, 06:37 PM
becky
Limits
Just need a couple of problems double checked for me.
lim (x^2+4x-5)/x^2-1
x->1
I am saying that this limit does not exist because of the 0 numberator.
In this one, I have forgotten the rules for square roots.
lim [(sq rt 2x-1) -3]/x-5
x->5... | 5 | [
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Finding the radius of a cylinder
May 14th 2011, 09:24 AM #1
Junior Member
Joined
May 2011
Posts
34
Finding the radius of a cylinder
Hello,
I am a very new member that had not made a new account because I was banned or anything ;-)
Can anyone please show me how to answer the following question: (... | 4 | [
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p.d.f.s and c.d.f.s of functions
February 7th 2009, 05:07 AM #1
Member
Joined
Jan 2009
Posts
83
p.d.f.s and c.d.f.s of functions
Let X be a continuous random variable taking values in (a, b) with cumulative distribution function F, strictly increasing
on (a, b). Show that Y = F(X) has a uniform distr... | 5 | [
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Effective Potential for Ultracold Atoms at the Zero Crossing of a Feshbach Resonance
Journal of Atomic, Molecular, and Optical Physics
Volume 2012 (2012), Article ID 241051, 9 pages
http://dx.doi.org/10.1155/2012/241051
Research Article
Effective Potential for Ultracold Atoms at the Zero Crossing of a Feshbach Resona... | 4 | [
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Complex numbers
January 14th 2007, 04:22 PM
mike1
Complex numbers
Any help on these two would be appreciated:
1) Express the complex number -2[sqrt)2+2[sqrt]2i in the trigonometric form r(cos[theta]+isin[theta]) or rcis(theta).
2) Express the complex number 12|cos(pi/3)+isin(pi/3)| in the form a+bi wit... | 4 | [
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Logarithm bases
The two bases for logarithms in common use are a) 10 and b) the transcendental number e = 2.71828----
a) For ordinary computations, logarithms to the base 10 are most common. This is the common or Briggsian system first devised by Henry Briggs (1560-1631) with the assistance of Napier.
b) Logarithms t... | 4 | [
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Set theory problem.
September 20th 2012, 03:59 PM #1
Junior Member
Joined
Sep 2009
Posts
62
Set theory problem.
Hi,
so here is my problem:
Given $F_{1},...,F_{n}, n \ge 2$ subspaces of $X$ and if $F=F_{1} \Delta F_{2} \Delta ... \Delta F_n$,( where $A \Delta B:= (A-B)\cup (B-A)=(A \cup B) \cap (A... | 4 | [
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topology continuity
February 23rd 2009, 10:18 PM #1
Newbie
Joined
Feb 2009
Posts
3
topology continuity
Let F: X x Y -> Z. We say that F is continuous in each variable separately if for each y0 in Y, the map h: X-> Z defined by h(X)= F( x x y0) is continuous, and for each x0 in X, the map k: Y-> Z
def... | 5 | [
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