content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Max and Min Values
January 5th 2008, 05:24 PM #1
Member
Joined
Jun 2007
Posts
120
Max and Min Values
Without graphing, find the absolute max and min values.
f(x)=3x+2 for XE[-1,1]
I know this is easy but when i take the derrivative i get f'(x)=3. and then i am stuck from there, what would i do ... | 4 | [
0.02978515625,
-0.06787109375,
-0.02587890625,
-0.0712890625,
-0.0224609375,
-0.006256103515625,
0.0301513671875,
0.09912109375,
0.021484375,
-0.00421142578125,
0.06396484375,
-0.134765625,
0.0810546875,
0.035400390625,
-0.00701904296875,
-0.0771484375,
0.0181884765625,
0.000415802... | 9,000 | 9000 | |
Random Sampling a linearly constrained region in n-dimensions...
up vote 5 down vote favorite
3
Hi,
So here is my problem:
Given a nonlinear, discontinous, cost function $f(x_1,x_2,..,x_N)$ along with linear constraints $x_n \ge 0, \forall n$ $x_n \le c_n$ and $\sum_{n=1}^N x_n = 1$ find an optimal (local) solution ... | 5 | [
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0.0086669921875,
0.018798828125,
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0.0224609375,
-0.0106201171875,
-0.03271484375,
-0.020263671875,
0.0859375,
-0.039794921... | 9,001 | 9001 | |
Taylor's polynomial for a 2 variables function
July 15th 2009, 09:15 PM #1
Taylor's polynomial for a 2 variables function
I must say the veracity of the affirmation : The second degree Taylor's polynomial of $f(x,y)=e^{xy}$ around $(0,1)$ is $p(x,y)=1+xy+\frac{y^2}{2}$.
My attempt : I didn't use the $u=xy$ su... | 5 | [
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0.010986328125,
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0.060791015625,
0.021240234375,
0.000698089599609375,
-0.108886718... | 9,002 | 9002 | |
Help with Integral please!
March 19th 2013, 11:32 AM #1
Help with Integral please!
Can someone please show me how to solve this integral? This problem looks easy, but for some reason is not.
PS - This is not Homework, it is for personal practice
Thank you very much.
Re: Help with Integral please!
... | 4 | [
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... | 9,003 | 9003 | |
Approaches
Approaches to Mathematics
Introduction | Levels 1 and 2 Activites – Which is bigger? | Levels 3 and 4 Actiivites – What's my number? |Levels 5 and 6 Activites – Diophantine equations | Show All
Introduction
This material provides teachers with several sample learning activities related to the standards f... | 4 | [
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-0.07470703125,
0.0042114257812... | 9,004 | 9004 | |
Help Inequalities with absolute
8.) /(3-2x) divided by (2+x)/ < 4 / means absolute value
|(3-2x)/(2+x)|<4, means: -4 < (3-2x)/(2+x) < 4 Now its a good idea to sketch (3-2x)/(2+x), (see attachment) Now solving (3-2x)/(2+x) = -4, gives x=-11/2 and so -4 < (3-2x)/(2+x) when x<-11/2, and
alsowhen x>-2 (where the vertical ... | 4 | [
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0.0264892578125,
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0.06298828125,
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0.005279541015625,
0.047119140625,
0.0771484375,
-... | 9,005 | 9005 | |
WebDiarios de Motocicleta
[You can also read this post in PDF.]
In a recent SODA submission, I had to prove a small technical lemma that I considered more or less straightforward. But what exactly is straightforward is in the eye of the beholder, and one of the
referees did not like my (succinct and semicoherent) proo... | 5 | [
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-0.00640869140625,
-0.026123046875,
0.04345703125,
0.038330078125,
-0.003067... | 9,006 | 9006 | |
What does Mellin inversion "really mean"?
up vote 23 down vote favorite
13
Given a function $f: \mathbb{R}^+ \rightarrow \mathbb{C}$ satisfying suitable conditions (exponential decay at infinity, continuous, and bounded variation) is good enough, its Mellin transform is
defined by the function
$$M(f)(s) = \int_0^{\in... | 4 | [
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0.030517578125... | 9,007 | 9007 | |
TRAINS SHORTCUTS FOR QUANTITATIVE APTITUDE
1. When a train passes a stationary point, the distance covered (in the passing) is the length of the train.
Eg 1: What is the time taken by a train of length 360m to cross a pole at a speed of 72 kmph ?
Ans: Time taken by the train to cross the pole = Length of the train /... | 4 | [
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-0.01397705078125,
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0.0269775390625,
-0.039794921... | 9,008 | 9008 | |
Proof of One Step Subgroup Test
Date: 05/13/2002 at 07:00:04
From: Sarah Hill
Subject: algebra subgroup proof
Hi,
I am stuck with how to do the following proof:
Prove that a nonempty subset H of a group G is a subgroup
of G if and only if a*b^(-1) is in H for all a, b in H.
I am pretty sure that I now have to ... | 5 | [
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0.018310546875,
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-0.0223388671875,
0.028076171875,
-0.... | 9,009 | 9009 | |
Derivation of the Power Series of Cosine
Date: 1/22/96 at 15:51:29
From: Anonymous
Subject: Taylor Polynomials
Would you please explain how the power series is derived from
the cosine function and any other function? I am pretty confused
about this and could use some explanation. Thank you.
Date: 6/21/96 at 11:56... | 5 | [
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-0.06591... | 9,010 | 9010 | |
Normal projectors, Hermitian projectors
April 10th 2010, 01:22 PM #1
Member
Joined
Feb 2009
Posts
98
Normal projectors, Hermitian projectors
How do you prove that a projector is normal if and only if it is self adjoint?
I know a matrix P is a projector if $P=P^{2}$ and P is normal if PP* = P*P and P... | 4 | [
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-0.022705... | 9,011 | 9011 | |
PCMI @ MathForum: Kite Notes
Kite Follow-up Discussion
by Art Mabbott
... | 4 | [
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Rearranging Differential Equation
January 18th 2011, 03:28 PM
Miika89
Rearranging Differential Equation
Hi, I was going over my notes and didnt understand one of the steps made in a calculation, was hoping someone could explain it to me.
Im trying to find an analytic solution for an ODE: dY/dX + X*Y = X
... | 5 | [
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0.0111083984375,
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0.04052734375,
... | 9,013 | 9013 | |
Capacitance formula
June 3rd 2011, 05:15 AM
bainsk8
Capacitance formula
I am new to the forum and my maths is very poor, so please excuse me if this is posted in the wrong section.
I am trying to learn electrics and am reading about capacitance. Below is taken from the section that I am at.
---------
... | 4 | [
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-0... | 9,014 | 9014 | |
Planar Approximation: Latitude and Longitude
Date: 04/18/2003 at 11:01:48
From: Jessica
Subject: When can two points (lat and long) be treated as planar
How can I calculate the distance between two points below which they
can be treated as if they were in a plane rather than on a sphere?
I am trying to calculate the... | 5 | [
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Bessel equation
June 18th 2011, 01:09 PM
Ulysses
Bessel equation
Hi there. I'm working with the Bessel equation, and I have this problem. It says:
a) Given the equation
$\frac{d^2y}{dt^2}+\frac{1}{t}\frac{dy}{dt}+4t^2y(t )=0$
Use the substitution $x=t^2$ to find the general solution
b) Find the ... | 5 | [
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Sizes of kernels of homomorphisms
November 29th 2013, 05:46 PM #1
Junior Member
Joined
Oct 2013
From
Moscow, Russia
Posts
41
Sizes of kernels of homomorphisms
I have a problem that I have been stuck on for two hours. I would like to check if I have made any progress or I am just going in circles.
... | 5 | [
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Translating Parabolas and Completing the Square
Date: 23 May 1995 19:29:57 -0400
From: Eva Jason
Subject: Translating Parabolas from the Origin.
Hi!
The subject in my textbook is "parabolas translated from the origin"
and standard equations. I was zipping right along until I came to
the following question:
State t... | 4 | [
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Mathematical Induction
June 21st 2009, 11:41 PM #1
Mathematical Induction
For qn 20a, can u show me how [1/(sqrrt2 +1)] is equal to (sqrt 2 -1)
by doing workings and nt using decimals.
And pls teach me qn21(i) the hence part.
Thks alot!!!
ok we want to prove that
$\sum_{r=1}^{n} \frac{1}{\... | 5 | [
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0.0098876... | 9,019 | 9019 | |
e to the y problem
June 14th 2014, 04:55 PM #1
Senior Member
Joined
Oct 2012
From
USA
Posts
290
Thanks
1
e to the y problem
Solving for y
$y^{2} - 9 = e^{y}$
Is this the way to go?
$(e^{y})(y^{2}) - (e^{y})(9) = e^{y}(e^{y})$
Make everything e to the something and then ln it a... | 5 | [
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... | 9,020 | 9020 | |
A novel approach to simulate gene-environment interactions in complex diseases
Abstract
Background
Complex diseases are multifactorial traits caused by both genetic and environmental factors. They represent the major part of human diseases and include those with largest prevalence and mortality
(cancer, heart disease... | 4 | [
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Conditional Probabilty question
October 9th 2008, 07:09 AM
Creol
Conditional Probabilty question
okay the problem statement is as follows
A gene can be either type A or type B (ie note type A). A gene can also be either dominant or regressive.
If a gene is type B, then there is a 0.31 probability that it... | 5 | [
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Finding equation of ellipse
March 11th 2007, 01:27 PM
shenton
Finding equation of ellipse
The major axis of ellipse has end points (8,4) and (-4,4). If the ellipse passes through the origin, what is the equation of the ellipse?
My solution:
End points (8,4) and (-4,4)
so 2a = 12, a =6
therefor... | 4 | [
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d C
Practical Biostatistics
How to Calculate Sample Size in Randomized Controlled Trial?
From A ffiliated Mental Health Center, Tongji Medical College of Huazhong University of Science & Technology
Abstract
To design clinical trials, efficiency, ethics, cost effectively, research duration and sample size calculatio... | 5 | [
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... | 9,024 | 9024 | |
Monoid proof
January 25th 2010, 07:43 AM
pikminman
Monoid proof
I'm a little bit stuck on an assignment question.
The question is:
Quote:
Let
c
be a fixed positive integer, and let * denote the binary operation on the set
Z
of integers defined be the formula
$x * y = xy + ... | 5 | [
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0.022094726562... | 9,025 | 9025 | |
ial
Common Tangents
There can be four common tangents to two circles. The tangents can be either direct or transverse.
When the two circles neither intersect nor touch each other, there are four common tangents.
But when they intersect there are two common tangents, both of them being direct.
(a... | 4 | [
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Math Help
? ----- $\sqrt{5+\sqrt{21}}=\sqrt{2+\sqrt{3}}+\sqrt{4-\sqrt{7}}$ $5+\sqrt{21}=(\sqrt{2+\sqrt{3}}+\sqrt{4-\sqrt{7}})^2$ $5+\sqrt{21}=2+\sqrt{3} + 4-\sqrt{7} + 2\sqrt{8 - 2\sqrt{7} + 4\sqrt{3} -\sqrt
{21}}$ $2\sqrt{8 - 2\sqrt{7} + 4\sqrt{3} -\sqrt{21}} = \sqrt{21} - \sqrt{3} + \sqrt{7} - 1$ $8 - 2\sqrt{7} + 4\... | 5 | [
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0.0022735595703125,
0.0284423828125,
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-0.02001953125,
-0.090820... | 9,027 | 9027 | |
User:Timothee Flutre/Notebook/Postdoc/2011/11/10
From OpenWetWare
(Difference between revisions)
(→Entry title: first version) (→Bayesian model of univariate linear regression for QTL detection: add conditional
← Previous diff ... | 4 | [
-0.1337890625,
0.036376953125,
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0.04296875,
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0.04736328125,
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0.000545501708984375,... | 9,028 | 9028 | |
Biased Dice
Date: 02/18/99 at 08:18:10
From: sharron
Subject: Probability of biased dice
My question is:
If one die is biased so as to make 1, 2, 3, 4, and 5 three times more
likely than 6, and the other die is biased so 1 is three times as
likely as for the other die, how would you begin to work out the
possible o... | 4 | [
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... | 9,029 | 9029 | |
[SOLVED] Triangulation
February 19th 2009, 06:37 PM #1
Newbie
Joined
Jan 2009
From
Maryland
Posts
4
[SOLVED] Triangulation
S1 is located at (100,200). It's distance to the epicenter is 100 √ 10 miles
S2 is located at (400,500). It's distance to the epicenter is 200 miles
S3 is located at (700... | 4 | [
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0.0302734375,
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-0.041992187... | 9,030 | 9030 | |
Using MapReduce to compute PageRank
In this post I explain how to compute PageRank using the MapReduce approach to parallelization. This gives us a way of computing PageRank that can in principle be automatically parallelized, and so
potentially scaled up to very large link graphs, i.e., to very large collections of w... | 4 | [
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0.05761... | 9,031 | 9031 | |
regular and exact completions
Context
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Regular and exact completions
Idea
The forgetful 2-functors
have left adjoints, and in fact are (2-)monadic. Their left adjoints are called (free) regular or exact completions.
In the third... | 4 | [
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0.0... | 9,032 | 9032 | |
An integral with a parameter
October 4th 2009, 03:02 AM
NonCommAlg
An integral with a parameter
Let $n \in \mathbb{N}$ and $\frac{n(n+1)}{2} < t \in \mathbb{R}.$ Evaluate $I_n =<br /> \int_0^{\infty} \frac{\sin (x) \sin (2x) \ \cdots \ \sin(nx) \sin (tx)}{x^{n+1}} \ dx.$
October 10th 2009, 06:27 AM
pankaj
... | 5 | [
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-0.00... | 9,033 | 9033 | |
Design A Low-Voltage UWB CMOS Mixer
Based on a standard silicon CMOS process, this linear double-balanced mixer can operate from 1.5 to 11.5 GHz while requiring a mere +0.75-VDC supply voltage.
What is in this article?:
• Manipulating The Threshold Signal
This silicon CMOS mixer achieves wideband coverage from ... | 4 | [
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0.038818359... | 9,034 | 9034 | |
Prove the value of the infinite series.
June 19th 2008, 04:08 PM
mathwizard
Prove the value of the infinite series.
Prove that
$<br /> 1 + \frac{3}{4} + \frac{3*5}{4*8} + \frac{3*5*7}{4*8*12} + \frac{3*5*7*9}{4*8*12*16} + ... = \sqrt{8}$
Also find the sigma (summation) representation of the series.
... | 5 | [
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-0.12890625,
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0.0262451171875,
0.014099... | 9,035 | 9035 | |
Newton-Raphson Algorithm
Newton-Raphson Method
The Newton-Raphson method helps us locate an approximate real root of the given equation and improves its accuracy by a flow process.
Numerical Methods: Numerical Methods provide various techniques to find an approximate solution to a difficult problem using various oper... | 5 | [
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0... | 9,036 | 9036 | |
[R] row echelon form - Scott Hyde - org.r-project.r-help - MarkMail
Subject: [R] row echelon form
From: Scott Hyde (hyd...@byuh.edu)
Date: Aug 31, 2007 8:56:39 pm
List: org.r-project.r-help
Hi everyone,
I am looking to use R as a MATLAB replacement for linear algebra. I've done a fairly good job... | 4 | [
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-0.0... | 9,037 | 9037 | |
The CPU time requirement X
December 14th 2009, 01:59 AM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
The CPU time requirement X
Question : The CPU time requirement X of a typical job can be modelled by the following distribution
$P(X \le t)$ = $\alpha (1 - e_1^{\lambda_1 t})$ + $(1 - \alph... | 4 | [
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0.033935546875,
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0.0303955078125,... | 9,038 | 9038 | |
A classification of rational surfaces with effective $K$
up vote 3 down vote favorite
2
I would like to know if there can be some kind of classification of normal rational surfaces with Gorenstein singularities, such that their canonical divisor is effective.
Additional question. Are there such surfaces at all?
I co... | 5 | [
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... | 9,039 | 9039 | |
Math Forum Discussions
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Topic: convex function through finite points with minimal... | 5 | [
0.01324462890625,
0.047607421875,
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0.03466796875,
-0.13... | 9,040 | 9040 | |
4.3 Lyapunov Exponent
Measuring Chaos
The Chaos Hypertextbook
© 1995-2007 by Glenn Elert
All Rights Reserved -- Fair Use Encouraged
prev | index | next
Standard map orbits rendered with Std Map
4.3 Lyapunov Exponent
Descriptions of the sort given in the last paragraph are unnatural and clumsy. It would be nice to ... | 4 | [
-0.00150299072265625,
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-0.0400390625,
0.0169677734375,
0.009765625,... | 9,041 | 9041 | |
Fourier transformation
May 9th 2007, 06:49 AM #1
Member
Joined
Jul 2005
Posts
187
Fourier transformation
Find the Fourier transformation of f(x)=(1-|x|)(H(x+1)-H(x-1)) where H(x) is the funcion of the Heaviside.
I can't even guess where to start.
H(x+1) = 0 for x<-1 otherwise it is 1.
H(x-1)... | 5 | [
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-0.029296875,
-0.08740234375,
-0.02856445... | 9,042 | 9042 | |
Question about rotation and reference
March 10th 2011, 06:33 AM #1
Newbie
Joined
Mar 2011
Posts
2
Question about rotation and reference
Hi.
Let's suppose to have a car with a reference system called Body-NED with its origin in the center of gravity of the car, Xb-axis (called North) pointing towards... | 5 | [
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-0.0218505... | 9,043 | 9043 | |
Find the value of k:
Find the values of $k$ for which the equation $\sin^2 x-|k-2|\sin x=\cos^2 x+|k-2|-1$ is true
$sin^2x - \mid k-2 \mid sinx = cos^2 x + \mid k-2 \mid -1$ $sin^2 x - \mid k-2 \mid sinx = -sin^2x + \mid k-2 \mid$ $2sin^2x = (\mid k-2 \mid) (sinx +1 )$ $\frac{2sin^2x }{sinx +1 } = \mid k-2 \mid$
$k-2 ... | 4 | [
0.0020904541015625,
0.06201171875,
-0.0250244140625,
0.03173828125,
0.039794921875,
0.03564453125,
0.031494140625,
-0.0166015625,
-0.03955078125,
0.0269775390625,
0.05517578125,
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0.03564453125,
0.044189453125,
-0.047119140625,
-0.06591796875,
0.051513671875,
0.008605... | 9,044 | 9044 | |
Need help on factor theorem.
February 9th 2010, 03:56 PM #1
Newbie
Joined
Feb 2010
Posts
2
I am supposed to use the Factor Theorem to either factor the polynomial completely or to prove that it has no linear factors with integer coefficients.
I think I haven't completely understood the whole concept y... | 4 | [
0.01318359375,
0.01470947265625,
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0.09814453125,
0.09765625,
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0.00567626953125,
-0.00946044921875,
0.04028... | 9,045 | 9045 | |
Sylow-p groups [Abstract]
December 21st 2009, 01:21 AM #1
Member
Joined
Dec 2009
Posts
171
Sylow-p groups [Abstract]
This question is about sylow-p groups of Sp.
I've proved these parts of the question:
A. Each sylow p-sbgrp is from order p and there are (p-2)! p-sylow sbgrps of Sp.
B. (p-1)... | 4 | [
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0.0303955078125,
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-... | 9,046 | 9046 | |
orthogonal complement
August 9th 2010, 01:30 AM
wilday86
orthogonal complement
Let W = span $\[\left \{ \begin{bmatrix}<br /> 1\\ <br /> 2\\ <br /> -1<br /> \end{bmatrix}, \begin{bmatrix}<br /> -1\\ <br /> 3\\ <br /> 2<br /> \end{bmatrix} \right \}\]<br />$
Find a basis for the $\[W^{\perp }\]<br />$
I... | 5 | [
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-0.07958984375,
0.07470703125,
-0.0505371... | 9,047 | 9047 | |
Homework Help
Posted by Tom on Saturday, January 20, 2007 at 10:51am.
given (e^x)sin3x = Im((e^x)(e^i3x)) Integrate (e^x)sin3x.dx
You can just take the imaginary part of the integral of ((e^x)(e^i3x))= e^([3i +1)x] which is IM(3i +1)e^(3ix + x)
= IM (3i +1)e^x*e^(3ix)
= IM {(3i +1)*e^x* [ cos (3x) + i sin (3x)]
= ... | 5 | [
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0.1088867... | 9,048 | 9048 | |
Arithmetic sequence, geometric sequence, & geometric series
January 23rd 2007, 05:44 AM
fw_mathis
Arithmetic sequence, geometric sequence, & geometric series
Can someone please put me on the right track to solving these problems? If you can provide an example for at least one of each, I would greatly appreciate ... | 4 | [
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-0.05224609375,
-0.02258300... | 9,049 | 9049 | |
trigonometry problem
July 2nd 2008, 07:59 PM #1
Newbie
Joined
Jul 2008
Posts
1
trigonometry problem
I need help doing some trigonometry problems, one of which is y = -sin(6x - pie). I need to find the domain range, x & y intercepts, and I don’t know how to graph it. Can someone help me soon?
First o... | 4 | [
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What is the difference between Selections and Arrangements/Permutaions?
November 5th 2009, 08:47 PM #1
Probability Application help
Hi,
I'm revising for my Maths exam on Tuesday and I really need help with this question:
Three letters are chosen at random from the word "HEART" and arranged in a row. Fin... | 4 | [
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ANother model
March 4th 2008, 10:00 AM #1
Newbie
Joined
Mar 2008
Posts
11
ANother model
Hi people I dont know if anyone can help, but I'm working on some models and I'm having a bit of difficulty with this one..
$<br /> \dot S(t) \equiv \frac{{dS}}<br /> {{dt}} = - \alpha SI<br />$
where is alp... | 5 | [
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... | 9,052 | 9052 | |
Trig problem using bearings
May 16th 2007, 04:50 PM
jbrosrulez
Trig problem using bearings
Suppose that you are Torpedo Officer aboard the U.S.S. Skipjack. Your submarine is conducting torpedo practice off the coast of Florida. The target is 7200 m from you on a bearing of 276 degrees
and is steaming on a co... | 4 | [
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Solving Systems of Equations by Elimination Help
October 6th 2012, 05:14 PM #1
Newbie
Joined
Oct 2012
From
Maryland
Posts
3
Solving Systems of Equations by Elimination Help
Hey, I understand the concept for this, but for some reason I can't seem to get the answers right. I don't know what I'm doing w... | 4 | [
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-... | 9,054 | 9054 | |
vector angle
May 10th 2009, 09:58 AM
djmccabie
vector angle
two forces $F_1$N and $F_2$ N are given by
$F_1 = 24i + 32j - 42k$
$F_2 = -3i - 72j - 30k$
a) calculate, correct to the nearest degree, the angle between the directions of $F_1$ and $F_2$
so using the dot product formula $F_1 \cdot ... | 4 | [
-0.05029296875,
0.055419921875,
-0.0625,
-0.0308837890625,
-0.02978515625,
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0.103515625,
0.0027313232421875,
0.0064697265625,
0.040771484375,
-0.05224609375,
0.003997802734375,
-0.0025177001953125,
-0.023681640625,
-0.060791015625,
-0.051513671875,
... | 9,055 | 9055 | |
Metric Space
September 24th 2011, 05:53 PM
dwsmith
Metric Space
The topologies on $\mathbb{R}^n$ induced by the euclidean metric d and the square metric rho are the same as the product topology on $\mathbb{R}^n$.
Euclidean metric
$d(x,y)=\sqrt{(x_1-y_1)^2+\cdots +(x_n-y_n)^2}$
Square metric
$\r... | 4 | [
-0.01220703125,
-0.042724609375,
-0.00096893310546875,
-0.08642578125,
-0.0223388671875,
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0.005340576171875,
0.0162353515625,
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0.0556640625,
0.0185546875,
0.004852294921875,
-0.036865234375,
0.005950927734375,
0.070800... | 9,056 | 9056 | |
Sphere surface area
April 9th 2010, 05:25 AM
floater
Sphere surface area
I was wondering if someone could help explain the following to me.
http://i39.tinypic.com/t9a2ax.jpg
$dw = sin(\theta) d\theta d\phi$
If only angles are given, how can you compute the surface area? And is it just trigonometry... | 5 | [
-0.044189453125,
0.0230712890625,
0.013916015625,
-0.0076904296875,
0.042724609375,
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0.0322265625,
0.0595703125,
0.036376953125,
0.029052734375,
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0.06298828125,
0.007476806640625,
-0.0419921875,
-0.0419921875,
0.04345... | 9,057 | 9057 | |
f(x) continuous at c
December 4th 2012, 03:08 PM #1
Newbie
Joined
Nov 2012
From
Connecticut
Posts
5
f(x) continuous at c
Please Help!!
Prove that if c is irrational f(x) is continuous at c.
I would appreciate any type of hints or just where to start.
Re: f(x) continuous at c
think it ... | 4 | [
0.00616455078125,
0.04931640625,
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0.068359375,
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0.0947265625,
-0.032958984375,
-0.0186767578125,
0.016357421875,
-0.0... | 9,058 | 9058 | |
Trig substitution
April 5th 2009, 09:38 AM
ur5pointos2slo
Trig substitution
$<br /> <br /> \int\frac{dx}{4+x^2}\<br /> <br />$
I am supposed to use trig substitution here. I used a tangent sub but then everything seems to cancel itself out. Which sub would I need to use here?
April 5th 2009, 09:45 AM
gala... | 5 | [
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0.0036468505859375,
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0.078125,
0.04248046875,
... | 9,059 | 9059 | |
Circular Functions Application #2
October 29th 2010, 03:14 AM #1
Junior Member
Joined
Oct 2010
Posts
63
Circular Functions Application #2
scientists studying a population of a particular species of moth determine that the size of the population, N (in thousands), at time t weeks after the commencement of... | 4 | [
-0.04541015625,
0.07177734375,
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0.1201171875,
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0.031982421875,
0.024658203125,
-0.0205078125,
-0.0439453125,
-0.0308837890625,
-0.08007812... | 9,060 | 9060 | |
Circle Problem
May 10th 2009, 10:39 AM
nathan02079
Circle Problem
I am COMPLETELY stumped with this question. Can someone help me get started on a couple of steps? Hints? Thank you so much.
Streelights A, B, C, D, and E are placed 50 m apart on the main road. The light from a streetlight is effective up to ... | 4 | [
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0.049072265625,
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0.0458984375,
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0.0... | 9,061 | 9061 | |
A particular kind of Cauchy Principal Value integral
up vote 0 down vote favorite
I am sorry to bother the community with such a narrow question, it may perhaps be a little specific. As I study Random Matrix Theory, I often have to solve integrals of the form
$$\mathcal{P} \int_a^b dy \frac{\sqrt{P(y)}}{x-y}$$
Where... | 4 | [
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0.057861328125,
0.0654296875,
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0.02722167... | 9,062 | 9062 | |
Introduction to Functional Programming with Anonymous Functions, Part 3
Tucker McClure is an Application Engineer with The MathWorks. He spends his time helping our customers accelerate their work with the right tools and problem-solving techniques. Today, he'll be
discussing how "functional programming" can help creat... | 5 | [
-0.08837890625,
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0.055419921875,
0.0074462890625,
-0.026123046875,
-0.0205078125,
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-0.032958984375,
-0.019775390625,
0.0615234375,
0.046630859375,
-0.064941406... | 9,063 | 9063 | |
Continued Fraction for Tan(x)
Date: 11/03/2000 at 09:56:45
From: Joseph
Subject: "Continued Fraction" for the Tangent Function
Dear Dr. Math,
I was reading about pi on a math site. I saw something that blew my
mind! They said that the first argument that pi has to be irrational
was based on this formula (I've copie... | 5 | [
-0.10205078125,
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0.0137939453125,
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0.0537109375,
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0.0693359375,
-0.0361328125,
-0.055419921875,
0.0146484375,
-0.0444... | 9,064 | 9064 | |
Line integral over a circle, how to do it?
June 21st 2011, 07:12 AM #1
Newbie
Joined
May 2011
Posts
18
Line integral over a circle, how to do it?
Suppose I want to evaluate the moment of inertia of a circle (or ring or hoop) The moment of inertia is simply this integral $I=\int \rho^{2}dm$, where $\rho$ ... | 5 | [
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0.00775146484375,
0.01531982421875,
0.0810546875,
0.012939453125,
0.0380... | 9,065 | 9065 | |
Retrieval of algebra structure from spectral sequence
up vote 7 down vote favorite
4
Suppose we have a spectral sequence of algebras and know that it degenerates at some $E_r$, take for example the cohomology Leray Serre spectral sequence associated to some fibration $F\
hookrightarrow E\rightarrow B$. Suppose we are ... | 5 | [
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0.036865234375,
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-0.00970458984375,
0.07666015625,
-0.0361328125,
-0.0260009765625,
0.020874023437... | 9,066 | 9066 | |
Difficult maximisation problem
April 6th 2013, 04:37 AM
frustrated
Difficult maximisation problem
We need to find the value of X that maximizes U,
U= [(w*X)^(1-a)-1]/(1-a)*[(s*(1-X))^(1-b)-1]/(1-b)
where 0<X<1 w>1 s>1
For special cases of a=1, we have as the first term Ln(wX); for b=1 we have Ln(s... | 5 | [
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0.03173828125,
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0.0400390625,
0.134765625,
0.048095703125,
-0.0223388671875,
0.08447265625,
0.019775390625,
-0.0673828125,
... | 9,067 | 9067 | |
Fermats criteria - Correct?
September 15th 2008, 06:26 AM #1
Fermats criteria - Correct?
Fermats kriterium:
If $f$ takes in $x_0$ a (local) extremvalue and can be differentiated in $x_0$, then $f'(x_0) \ = 0$
Fermat showed this in the 17th century.
THEOREM: $f: R \longrightarrow \ R$ , $x_0 \ \in \... | 4 | [
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0.006439208984375,
0.076171875,
0.033447265625,
0.013671875,
-0.0262451171875,
... | 9,068 | 9068 | |
Quadratic in form
July 16th 2011, 10:32 AM #1
Junior Member
Joined
Jul 2011
Posts
61
Quadratic in form
$x^{4}+1x^{2}-42=0$
$Let A=x^{2}$
$A^2+A-42=0$
$\left ( A+7 \right )\left ( A-6 \right )=0$
$x^{2}=-7$$x^{2}=6$
$x=\pm \sqrt{-7} x=\pm \sqrt{6}$
I need help I don't think I... | 4 | [
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-0.0211181640625,
-0.0... | 9,069 | 9069 | |
Math Help
August 23rd 2012, 02:11 PM #1
Junior Member
Joined
Jul 2012
From
auckland
Posts
46
related rates
oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the water. If the radius of the circle increases at the rate of 3 meters per min, how fast is the... | 5 | [
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0.0712890625,
0.0419921875,
-0.0167236328125,
-0.01409912109375,
-0.0173... | 9,070 | 9070 | |
dimensional
Context
$\infty$-Chern-Simons theory
Ingredients
Definition
Examples
Quantum field theory
Physics
Contents
Idea
There are two kinds of higher dimensional generalizations of ordinary 3-dimensional Chern-Simons theory that are often called “higher dimensional Chern-Simons theory” in the literature. ... | 4 | [
-0.0830078125,
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-0.0400390625,
0.06982421... | 9,071 | 9071 | |
Base 2 Subtraction and Clock Arithmetic
Date: 01/26/2001 at 23:24:53
From: Jeff Bell
Subject: How Does Base 2 Subtraction Work?
I am a volunteer math teacher for a group of 4th and 5th graders in
our local school. We are studying base 2 numbers, and how computers
use them.
We know that computers use the "2's comple... | 4 | [
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0.0084228515625,
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0.10693359375,
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-0.020263671875,
-0.0164794921875,
0.0015869140625,
-0.1025390625,
0.... | 9,072 | 9072 | |
Derivative of invert tan?
March 28th 2006, 02:19 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Derivative of invert tan?
I read from the rules that the derivative of (tan^-1)x is (1/x^2+1), but I cannot figure out why and I can't find any explantations on the web.
Anyone have any ideas?
... | 5 | [
-0.034912109375,
-0.0152587890625,
0.125,
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-0.080078125,
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0.0106201171875,
0.026123046875,
-0.0434570... | 9,073 | 9073 | |
Proving the Diagonals of a Rectangle Congruent
Associated Topics || Dr. Math Home || Search Dr. Math
Proving the Diagonals of a Rectangle Congruent
... | 4 | [
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0.03... | 9,074 | 9074 | |
Find the missing factor
March 15th 2010, 12:56 PM #1
Junior Member
Joined
Mar 2010
Posts
35
Find the missing factor
Hi there,
I am trying to find the missing factor here:
$x^n - k^n = (x - k)(?)$
I have tried various things. First I tried to do it by construction, giving:
$x^n - k^n =... | 4 | [
-0.01025390625,
0.10791015625,
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-0.08935546875,
0.0703125,
-0.050537109375,
0.0169677734375,
0.11572265625,
-0.035888671875,
0.01696... | 9,075 | 9075 | |
[SOLVED] real analysis - absolute value
September 13th 2009, 06:20 PM #1
Newbie
Joined
Apr 2009
Posts
7
[SOLVED] real analysis - absolute value
If x, y, and are elements of R and x <=z, show that x <= y <= z if and only if |x - y| + |y - z| = |x - z|.
Re: [SOLVED] real analysis - absolute value
$\t... | 4 | [
-0.0654296875,
0.053955078125,
0.00970458984375,
-0.034912109375,
0.01220703125,
-0.0211181640625,
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0.08203125,
-0.10546875,
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0.095703125,
0.03173828125,
0.0184326171875,
0.03466796875,
0.07958984375,
-0.033203125,
0... | 9,076 | 9076 | |
Logarithmic Functions....help =)
January 25th 2009, 11:19 PM #1
Newbie
Joined
Jun 2008
Posts
11
Logarithmic Functions....help =)
Hey guys, having a little trouple with functions. Heres the problems:
1) 4^x+2-4^x=15
2)7^x^2=10
3) 2^x=3^x
and i have no idea how to post other q's with my... | 4 | [
0.0257568359375,
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-0.0059814453125,
0.0294189453125,
0.005828857421875,
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0.061279296875,
0.052978515625,
-0.01806640625,
-0.01397705078125,
0.052734375,
-0.10302734375,
0.0322265625,
0.07568359375,
-0.01531982421875,
0.052001953125,
-0.0419921875,
0.... | 9,077 | 9077 | |
More Functional Limits
June 5th 2008, 08:24 AM #1
Member
Joined
Mar 2008
Posts
99
More Functional Limits
(1) Let $g: A \rightarrow \mathbb{R}$ and assume that $f$ is a bounded function on $A \subseteq \mathbb{R}$ (i.e., there exists $M > 0$ satisfying $|f(x)| \leq M$ for all $x \in A$). Show that if
... | 5 | [
-0.05322265625,
-0.0250244140625,
0.028076171875,
0.0225830078125,
0.0034332275390625,
0.12890625,
0.080078125,
0.01116943359375,
-0.0390625,
0.01611328125,
0.015869140625,
-0.01251220703125,
0.032470703125,
0.0142822265625,
0.0771484375,
0.018310546875,
0.0966796875,
0.02319335937... | 9,078 | 9078 | |
Product of Upper Triangular Matrices
Date: 09/23/2003 at 18:40:42
From: Francis
Subject: Matrices
Show that the product of two upper triangular matrices is an upper
triangular matrix.
Date: 09/24/2003 at 02:34:24
From: Doctor Jacques
Subject: Re: Matrices
Hi Francis,
A matrix A = a[i,j] is upper triangular if all... | 4 | [
-0.09423828125,
0.068359375,
-0.083984375,
-0.05908203125,
-0.10888671875,
0.041015625,
0.03125,
-0.064453125,
-0.0189208984375,
-0.0174560546875,
-0.048095703125,
-0.05126953125,
0.00872802734375,
-0.0294189453125,
-0.00038909912109375,
0.08251953125,
0.0308837890625,
0.0264892578... | 9,079 | 9079 | |
Correlation and regression in contingency tables. A measure of association or correlation in nominal data (contingency tables), using determinants
Colignatus, Thomas (2007): Correlation and regression in contingency tables. A measure of association or correlation in nominal data (contingency tables), using determinants... | 4 | [
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-0.048095703125,
0.05419921875,
0.061279296875,
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0.0908203125,
-0.07763671875,
0.007110595703125,
0.034423828125,
0.0... | 9,080 | 9080 | |
locus - ellipse
June 4th 2008, 01:31 AM
afeasfaerw23231233
locus - ellipse
p143 q9 c
I have problem in (c). I get the answer 2x+y = 0 but the book says it is 2x+3y = 0
question:
consider an ellipse E: $\frac {x^2}9 + \frac {y^2}4 = 1$
and a line L : $2x-3x+6=0$
and D: $y=mx+c$ is a line para... | 4 | [
-0.02294921875,
0.0216064453125,
-0.01806640625,
-0.0625,
0.021728515625,
0.08154296875,
-0.042724609375,
0.1376953125,
0.0419921875,
-0.01055908203125,
0.12109375,
-0.049072265625,
-0.026611328125,
-0.025146484375,
0.01068115234375,
0.115234375,
-0.07421875,
-0.034912109375,
-0.... | 9,081 | 9081 | |
When are complex polynomial maps almost surjective?
up vote 9 down vote favorite
2
Consider a complex polynomial map $f: \mathbb{C}^n \rightarrow \mathbb{C}^n$. For $n = 1$, the fundamental theorem of algebra says that, for any $y \in \mathbb{C}$ there exists $x \in \mathbb{C}$
such that $y = f(x)$. Thus for $n = 1$, ... | 5 | [
-0.03857421875,
0.0157470703125,
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... | 9,082 | 9082 | |
November 2
I was thinking about the
Travelling Salesman
problem this morning. I came up with an algorithm that permits a few nice optimizations. My guess is that Knuth probably already came up with this algorithm, formally analyzed it, and then came up
with 15 others that were much better. Nonetheless, I figured I'd... | 4 | [
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0.078125... | 9,083 | 9083 | |
Root Locus: Example 3
Transfer function
Xfer Function Info
For the open loop transfer function, G(s)H(s):
We have n=2 poles at s = 2, -1. We have m=1 finite zero at s = -3. So there exists q=1 zero as s goes to infinity (q = n-m = 2-1 = 1).
We can rewrite the open loop transfer function as G(s)H(s)=N(s)/D(s) where ... | 4 | [
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-0.03173828125... | 9,084 | 9084 | |
Rates of Change word problems
October 18th 2009, 01:33 AM
funnytim
Rates of Change word problems
Hey everyone!
I'm having some problems getting started on some Calculus problems here. (I know, complete answers aren't supposed to be given out, but I don't even know how to approach the problem [Yes, I've
... | 4 | [
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0.... | 9,085 | 9085 | |
logistics and integral calculas
November 3rd 2007, 07:35 PM #1
Newbie
Joined
Oct 2007
Posts
9
Can somebody please help me with this homework question. I haven’t got much of an idea on what to do!
Infection rate of a disease has a constant of 0.004, this may be represented mathematically by -
dN/... | 4 | [
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[SOLVED] Evaluating Definite Integral (if exists)
April 7th 2010, 02:43 PM #1
Member
Joined
Feb 2009
Posts
118
[SOLVED] Evaluating Definite Integral (if exists)
Hi,
I'm I on the right track with this problem? Thanks in advance!
1. The problem statement, all variables and given/known data
Eva... | 5 | [
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0.026123046875,
-0.0241699... | 9,087 | 9087 | |
Parabola Problem
July 23rd 2007, 08:37 AM #1
Parabola Problem
A parabola has x-axis values of -3 and 5. And it symmetry axis is: x = 1
The a value is negative, but i cannot say what its exact value is.
It says to prove that $f(x) = -x^2 + 2x + 15$
Here's what i did:
$f(x) = a(x + 3)(x - 5)$
... | 4 | [
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0.0537109375,
0.01318359375,
0.026611328125,
0.048095703125,
-0.10693359375,... | 9,088 | 9088 | |
Complementar
Draft Writeup of April 3, 1998
COMPLEMENTARITY PROBLEMS
A variety of physical and economic phenomena are most naturally modeled by saying that certain pairs of inequality constraints must be complementary, in the sense that at least one must hold with
equality. These conditions may in principle be accomp... | 4 | [
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0.01... | 9,089 | 9089 | |
Physics Archive | January 23, 2010 | Chegg.com
Physics Archive: Questions from January 23, 2010
• Anonymous asked
1 answer
• Anonymous asked
C. The lengths of the sides of ther... Show more
The magnitude of each of the charges in the figure is
8.00 ^-12
C. The lengths of the sides ... | 5 | [
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-0.06201171875,... | 9,090 | 9090 | |
Inconstructible Regular Polygon
Date: 02/22/2002 at 22:18:21
From: Roger Yeh
Subject: Unconstructible regular polygon
Hello Dr. Math,
I've been trying to find a proof that a regular polygon with n sides
is inconstructible if n is not a Fermat prime number. I know that
Wantzel (1836) wrote that proof, but have no lu... | 4 | [
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How to solve d^2y/dx^2 = k^2y
November 7th 2011, 05:01 PM #1
Newbie
Joined
Nov 2011
Posts
3
How to solve d^2y/dx^2 = k^2y
How do you solve
d^2y/dx^2 = k^2 y
for boundary conditions:
y = y0 when x =0
y = 0 when x = infinity
Any help would be much appreciated.
Re: How to solve d^2y... | 4 | [
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Algorithm of the Week: Minimum Spanning Tree
Introduction
Here’s a classical task on graphs. We have a group of cities and we must wire them to provide them all with electricity. Out of all possible connections we can make, which one is using minimum amount
of wire.
To wire N cities, it’s clear that, you need to use... | 4 | [
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The divisor bound in number fields
up vote 19 down vote favorite
1
The divisor bound asserts that for a large (rational) integer $n \in {\bf Z}$, the number of divisors of $n$ is at most $n^{o(1)}$ as $n \to \infty$. It is not difficult to prove this bound using the
fundamental theorem of arithmetic and some elementar... | 5 | [
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distance-speed problem
May 15th 2008, 03:08 AM
zp3929
distance-speed problem
Water in the murray flows at 4km/hr. If a boat takes 3 hours to complete 32km round trip (16 km downstream and 16km back upstream), what is the boat's relative speed to the water?
so far i have found that when going upstream, the eq... | 4 | [
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Quadratic Equation
Associated Topics || Dr. Math Home || Search Dr. Math
Quadratic Equation
Date: 04/08/97 at 18:... | 4 | [
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fiber integration
Context
Integration theory
Analytic integration
Cohomological integration
Variants
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
Contents
Idea
Fiber integration or push-forward is a process that sends generalized cohomology classes on a bundle $E \to B$... | 4 | [
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Solving a baffler.
http://www.mathisfunforum.com/viewtopic … 17470&p=49
Post 1209
This one gave me great joy to solve because although there are several people here who can and did solve it, no one could where it was posed?! (Update: Someone else has submitted a solution there
too. Wunderbar!) A triumph for experime... | 5 | [
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Dynamic Geometry Module Lesson 1: What Is Dynamic Geometry?
Introduction
The term "dynamic" in mathematics refers to the ideas of motion and change. Dynamic Geometry is a new term coined in response to the new software packages such as Sketchpad and Cabri. These products
act as a sort of electronic ruler and compass.... | 4 | [
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