content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Simultaneous equation
Hello, BabyMilo! Solve for $x\!:\;\;\frac{x+\sqrt{a^2-x^2}}{x-\sqrt{a^2-x^2}}\:=\:b$ We have: . $x + \sqrt{a^2-x^2} \;=\;bx - b\sqrt{a^2-x^2} \quad\Rightarrow\quad b\sqrt{a^2-x^2} + \sqrt{a^2-x^2} \;
=\;bx - x$ Factor: . $\sqrt{a^2-x^2}(b+1) \;=\;x(b-1)$ Square: . $(a^2-x^2)(b^2+2b + 1) \;=\;x^2(b... | 4 | [
-0.000614166259765625,
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0.03466796875,
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0.052001953125,
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... | 21,300 | 21300 | |
function question
January 6th 2008, 05:02 AM #1
Newbie
Joined
Dec 2007
Posts
9
This is the function:
f(x)=(x^2-Bx+4)/(x-A)
given:
x=2 critical point
y=x+5 is an oblique asymptote
I need to find A and B and decide if x=2 is min or max.
i got to f'(x)= (x^2-2Ax-4+BA)/{(x-A)^2}
... | 5 | [
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0.0634765625,
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Trigonometric differentiation problem
August 29th 2008, 09:45 AM
matthewspj
Trigonometric differentiation problem
1.The base of an isosceles triangle is 20cm and the altitude is increasing at the rate of 1cm/min. At what rate is the base angle increasing when the area is 100cm^2?
August 29th 2008, 10:49 AM
Jhe... | 4 | [
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0.073730468... | 21,302 | 21302 | |
Integration by parts (3x-∏)cos(x/2)
March 29th 2012, 04:33 AM #1
Integration by parts (3x-∏)cos(x/2)
I know this can be done long hand & several ways.
I started from integrating by parts for definite integral (as I will be adding the limits later)
∫ f(x)g'(x) dx = f(x)g(x) - ∫f'(x)g(x) dx
Let f(x) = ... | 5 | [
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0.00970458984375,
0... | 21,303 | 21303 | |
Probability: Sums and Products of Random Variables
1. The problem statement, all variables and given/known data
Suppose that X is uniformly distributed on (0,2), Y is uniformly distributed on (0,3), and X and Y are independent. Determine the distribution functions for the following random variables:
a)X-Y
b)XY
c)X/Y
... | 4 | [
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0.01177978515625,
-0.0534667... | 21,304 | 21304 | |
finding angles
May 2nd 2011, 02:51 PM #1
Newbie
Joined
May 2011
Posts
3
finding angles
I have to show how to siolve these problems in two different ways and am a little rusty on how to solve it ONE way!!!
Thanks
#1: $90/$27 = x/6, so by cross multiplying, 6(90) = 27x. 540 = 27x, dividing both si... | 4 | [
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0.0439453... | 21,305 | 21305 | |
Integration help please
Can anyone help with this? I cant integrate at all
(a)You decide to make a accurate estimation of the height of a bridge by considering air resistance. By doing a little research you discover that, for a stone, the air resistance (R) is
proportional to velocity such that R = 0.009V... | 4 | [
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Recurrence formula in Pell's equation
The equation is (x-sqrt(2)y)(x+sqrt(2)y) = 1. Now, your solution is (3,2), so (3-sqrt(2)2)(3+sqrt(2)2) = 1, and by multiplying we have 1 = (x-sqrt(2)y)(3-sqrt(2)2)(x+sqrt(2)y)(3+sqrt(2)2) = (3x+4y-
(2x+3y)sqrt(2))(3x+4y+(2x+3y)sqrt(2)) = (3x+4y)^2-2(2x+3y)^2. Hence if we denote (3... | 4 | [
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-0.0480957031... | 21,307 | 21307 | |
root integral
February 3rd 2013, 04:51 PM #1
Member
Joined
Aug 2011
Posts
76
Thanks
1
root integral
Hi. In one of my homework problems, I have to find the arclength of
$y = \frac{3}{2}x^\frac{2}{3} + 2, [1, 8]$
If y' = x^(-1/3), then I believe that translates into
$\int{\sqrt{1+x^\frac... | 5 | [
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0.0027008056640625,
-0.0... | 21,308 | 21308 | |
Vector Calculus (area)
June 21st 2011, 04:36 AM #1
Newbie
Joined
Jun 2011
Posts
23
Vector Calculus (area)
Calculate $\iint\limits_S \vec{F} .\vec{n} dS$:
$\vec{F}(x,y,z)$ = (x,y 2x - x - y)
S: $x^{2} + y^{2} - z^{2} = 0$, $\ 1 \leq z \leq 4$ and $x^2 + y^2 = 1$, $\ 0 \leq z \leq 1$
Answer... | 5 | [
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-0.01470947265625,... | 21,309 | 21309 | |
Patente US20020013130 - Method and apparatus for estimating optimum weight of closed loop transmit deversity for mobile communication
BACKGROUND OF THE INVENTION
[0001] 1. Field of the Invention
[0002] The present invention relates to a mobile station in a mobile communication system using a closed loop transmit dive... | 4 | [
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-0.003311157226562... | 21,310 | 21310 | |
Help Me with trigs please
December 10th 2008, 02:39 PM
madfreshx
Help Me with trigs please
I have a test tomrow and i cant do some of the problems on the topic please help. i want to know how to do these before my test tomrow
express sin 320degrees as a sin function of a positive acute angle
find the v... | 4 | [
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College Algebra [HELP]
September 8th 2008, 06:42 PM
magnum
College Algebra [HELP]
Okay so I'm not the smartest tool in the shed. Need someone to come around and do this. (Headbang)
SIMPLIFY BY FACTORING:
http://i110.photobucket.com/albums/n...kproblem96.jpg
I came up with (2x-1)^1/2(x+1)(5-x)
... | 4 | [
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Differentiation Question
S_David
Hi,
I have this derivation, and I am not sure how to derive it:
[tex]\frac{d}{dp(x)}\int_{-\infty}^{\infty}p(x)\,log(p(x))\,dx[/tex]
I mean, what to do with the integral?
Another thing, how to integrate:
[tex]\int_{-\infty}^{\infty}e^{x^2}\,dx[/tex]
Thanks in advance
Squaring ... | 4 | [
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0.062988281... | 21,313 | 21313 | |
lagrange's trignometric identity
July 5th 2009, 09:39 PM #1
Member
Joined
Aug 2008
Posts
172
lagrange's trignometric identity
use the identity $1+ z+ {z^2} + {z^3}+ {z^4}+...+ {z^n} = \frac{1-{z^ (n+1)} }{1-z} , z eq 0$ to prove lagrange's trignometric identity :
$1+ cos\ominus + cos2\ominus+...+ cos... | 5 | [
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finding sine, cosine, and tangent of theta
April 8th 2011, 11:32 AM #1
Junior Member
Joined
Apr 2010
Posts
53
finding sine, cosine, and tangent of theta
I have a right triangle with x, y, and z is the hypotenuse. It has angles A and B.The given information is that z=17, A=theta, and B=theta. I used the p... | 4 | [
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Patent US20080307022 - Mixed Radix Conversion with a Priori Defined Statistical Artifacts
BACKGROUND OF THE INVENTION
1. Statement of the Technical Field
The inventive arrangements relate to communications systems having ring generators. More particularly, the inventive arrangements relate to a method and system for ... | 4 | [
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The Law of Cosines
April 28th 2005, 09:14 AM
kdstalnaker
The Law of Cosines
I am having problems with this problem. Any help would be greatly appreciated.
Two airplanes leave an airport at the same time. The first flies 150 km/h in a direction of 320 degrees. The second flies 200 km/h in a direction of 200 ... | 4 | [
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Show only one group exists for Groups of prime order
May 29th 2010, 06:30 PM
GeoC
Show only one group exists for Groups of prime order
I'm trying to dust off the cobb webs by studying some basic Group Theory. Can someone provide a proof that a Group of order 5, or any prime for that matter, must be a cyclic Abel... | 5 | [
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... | 21,318 | 21318 | |
About Set Functions
Set functions are pre-defined functions used in select specifications. They operate on the set of values in one column of the result of the SELECT statement, or on the subset in a group if the
statement includes a GROUP BY clause.
The result of a set function is a single value for ... | 4 | [
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Probability question - finding the number of attempts
September 26th 2013, 05:06 PM #1
Junior Member
Joined
Apr 2013
From
Melbourne
Posts
29
Thanks
1
Probability question - finding the number of attempts
Qu:John is shooting at a target. His probabiltiy of hitting the target is 0.6. What is the mi... | 5 | [
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Cosecant: Introduction to the Cosecant Function in Mathematica
Introduction to the Cosecant Function in Mathematica
Overview
The following shows how the cosecant function is realized in Mathematica. Examples of evaluating Mathematica functions applied to various numeric and exact expressions that involve the cosecant... | 4 | [
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... | 21,321 | 21321 | |
BCH error-location polynomial decoder - Patent # 5343481 - PatentGenius
BCH error-location polynomial decoder
5343481 BCH error-location polynomial decoder
Patent ... | 4 | [
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-0.... | 21,322 | 21322 | |
Photon propagator
So I want to calculate the quantum massless photon propagator. To do this, I write
[tex]
A_\mu(x) = \sum\limits_{i=1}^2 \int \frac{d^3p}{(2\pi)^3} \frac{1}{\sqrt{2\omega_p}} \left( \epsilon_\mu^i (p) a_{p,i} e^{-i p \cdot x} + { \epsilon_\mu^i} ^* (p) a_{p,i}^\dagger e^{i p \cdot x} \
right)
[/tex]
wh... | 4 | [
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0... | 21,323 | 21323 | |
An Epidemiological Model of Rift Valley Fever with Spatial Dynamics
Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 138757, 12 pages
http://dx.doi.org/10.1155/2012/138757
Research Article
An Epidemiological Model of Rift Valley Fever with Spatial Dynamics
^1Division of Integrated Bi... | 4 | [
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Doubly Infinite Integral
December 14th 2009, 03:42 PM #1
Newbie
Joined
Mar 2009
Posts
2
Doubly Infinite Integral
Show that for any real numbers $a, b, c$ with $a < b < c$ we have
$PV \int^{\infty}_{-\infty} \frac{1}{(x-a)(x-b)(x-c)}dx =0.$
I know, in general that the Cauchy principal value of ... | 5 | [
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... | 21,325 | 21325 | |
Improving the Integrity Test Assurance of Multiround Housings Assessments - Pharmaceutical Technology
To simulate the expected bubble-point value of various multiround setups the automated integrity test bubble-point test algorithm was programmed in an Excel (Microsoft) spreadsheet, and the diffusion
profiles of the i... | 4 | [
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-0.0830078125,
-0.003997802734375,
-0.03369... | 21,326 | 21326 | |
change of variable question (changing of signs)
December 27th 2010, 10:33 PM
Volga
change of variable question (changing of signs)
Question (Schaum Advanced Calculus). Test for convergence:
$\int^{-1}_{-{infty}} \frac{\exp{x}}{x}\;{dx}$
My thinking. Substitute y=-x and then deal with a simpler construc... | 5 | [
-0.0927734375,
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0.0234375,
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0.05517578125,
0.04443359375,
-0.00799560546875,
0.08203125,
-0.09423828125,
0.049... | 21,327 | 21327 | |
Patent US7499542 - Device and method for encrypting and decrypting a block of data
PRIORITY STATEMENT
This application claims priority under 35 U.S.C. § 119 of European Patent Application No. 03011696.6, filed on May 23, 2003, in the European Patent Office, the entire contents of which are
incorporated herein by refer... | 4 | [
-0.111328125,
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0.005645751953125,
-0.041015625,
-0.046875,
0.0013885498046875,
0.023559570312... | 21,328 | 21328 | |
Patent US7231329 - Enhanced elliptic grid generation
Publication number US7231329 B1
Publication type Grant
Application number US 10/706,478
Publication date Jun 12, 2007
Filing date Nov 7, 2003
Priority date Nov 7, 2002
Fee status Paid
Publication number 10706478, 706478, US 7231329 B1, US 7231... | 4 | [
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-0.007415771484375,
-0.006866455078125,
-0... | 21,329 | 21329 | |
Integration please help
August 13th 2006, 05:45 AM #1
Newbie
Joined
Aug 2006
Posts
19
Integration please help
I need solution step by step for these integrals
I have Maple but don't have options show me step by step
Could you help
Thanks
1. int(3*t/(4*t^2+4*t-11)^1/2,t)
2. int((x^3-x... | 5 | [
-0.0703125,
-0.01434326171875,
0.038818359375,
-0.01361083984375,
0.034912109375,
-0.07666015625,
-0.038330078125,
-0.0126953125,
-0.035400390625,
-0.05859375,
0.0155029296875,
-0.040771484375,
-0.07861328125,
-0.006622314453125,
-0.03857421875,
-0.049072265625,
0.07080078125,
-0.0... | 21,330 | 21330 | |
Differentiability
February 20th 2011, 12:52 PM #1
Differentiability
Let $f(x) = cos(1/x)$for $xeq0$and $f(0) = 0$. Is the function
$g(x) =\int_0^x f$ differentiable at $0$?
I say no
My reasoning:
$\displaystyle\lim_{x\to{0}} \frac{g(x)-g(0)}{x-0}<br />$
$\displaystyle\lim_{x\to{0}}\frac{\in... | 5 | [
0.002197265625,
-0.026123046875,
-0.01116943359375,
-0.00811767578125,
0.00439453125,
-0.06640625,
0.01287841796875,
0.05078125,
-0.0537109375,
0.016845703125,
-0.0145263671875,
0.0263671875,
-0.01190185546875,
-0.0130615234375,
0.00396728515625,
-0.020263671875,
0.08447265625,
-0.... | 21,331 | 21331 | |
A Viscosity Hybrid Steepest Descent Method for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems of Infinite Family of Strictly Pseudocontractive Mappings and Nonexpansive Semigroup
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 204948, 24 pages
http://dx.doi.org/10.1155/2013... | 5 | [
-0.0198974609375,
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0.0234375,
... | 21,332 | 21332 | |
Subgroups of Alternating Group
There is a theorem that says: Let H be a subgroup of order t in a group G of order 2t. Then: H is normal in G, and moreover G/H={H,K}, where K consists of the t elements of G not in H.
Proof: Let g be an element of G such that g is in H. Then gH (the left coset) consists of exactly t el... | 5 | [
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0.041992187... | 21,333 | 21333 | |
Not HW: Why are light waves in the form of the sine wave, instead of some other wave?
Born2bwire
The curl of the electric field would bring out a -jk factor on the left-hand side cancelling out the imaginary factor on the right-hand side.
Thanks. You are absolutely correct.
Now we have a slight ambiguity.
Faraday... | 4 | [
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-0.09228515625,
-0.02343... | 21,334 | 21334 | |
How To Evaluate This Integral?
February 22nd 2010, 05:28 PM #1
Member
Joined
Apr 2008
Posts
123
How To Evaluate This Integral?
Integral of (e^(1/x))/(x^2) dx from 0 to 1. (1 is above curly S, 0 is below curly S)
My work:
= [-e^(1/x)] from 0 to 1.
= [-e^(1/1)] - [-e^(1/0)] (This is where I ge... | 5 | [
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0.0296630859375,
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-0.00537109375,
0.076171875,
-0.03... | 21,335 | 21335 | |
Proving an identity.
October 16th 2010, 04:47 PM #1
Junior Member
Joined
Jan 2010
Posts
66
Proving an identity.
I keep coming to a dead end when working this one.
$csc x + cot x = \frac{1}{csc x - cot x}$
Thanks!
Work with the right hand side. Substitute csc x = 1/sin x and cot x = cos x/... | 4 | [
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0.0588378906... | 21,336 | 21336 | |
Patent US20030018283 - Feedback estimation of joint forces and joint moments
CROSS-REFERENCE TO RELATED APPLICATIONS
[0001] This application is related to U.S. provisional patent application serial no. 60/301,891, filed on Jun. 29, 2001, entitled “A recursive, nonlinear feedback approach to estimate joint forces
and j... | 4 | [
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0.... | 21,337 | 21337 | |
Impossible equation?
April 12th 2009, 11:37 AM #1
Junior Member
Joined
Apr 2009
From
Montréal
Posts
45
Impossible equation?
I've been working on it for a few days, and I can't seem to find a possible answer. My maths teacher told me it was not impossible (and she's not the joking kind).
$x^2 + y... | 4 | [
-0.030517578125,
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0.08544921875,
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0.076171875,
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0.05810546875,
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0.08935546875,
0.0245361328125,
-0.0400390... | 21,338 | 21338 | |
Combinations #1
December 9th 2009, 09:57 AM #1
Senior Member
Joined
Feb 2008
Posts
383
Combinations #1
A class contains 10 boys and 15 girls. 8 can go to a local castle, 7 can go to the theatre and the remainning 10 will go to the museum.
In how many ways can the class be divided for their activity ... | 4 | [
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0.04443359375,
0.0007... | 21,339 | 21339 | |
Combining normal random variable question
August 10th 2010, 05:57 AM #1
Newbie
Joined
Jul 2010
Posts
4
Combining normal random variable question
I am stuck on this question...
I know for part a) that E(X-Y) = -1 and Var(X-Y) = 5, but I'm not sure where to go from here...
Is X-Y still a normal r... | 5 | [
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-0.11083984375,
-... | 21,340 | 21340 | |
Summing numbers 0 to 100
March 22nd 2009, 12:38 PM #1
Newbie
Joined
Mar 2009
Posts
2
Summing numbers 0 to 100
Suppose you have a list of numbers from zero to one hundred. How quickly can you add them all up without using a calculator?
You can use Gauss method
$S=1 + 2 + 3 + \cdots + 98 + 99 + 10... | 4 | [
0.00927734375,
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0.01586914... | 21,341 | 21341 | |
On the Slowly Decreasing Sequences of Fuzzy Numbers
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 891986, 7 pages
http://dx.doi.org/10.1155/2013/891986
Research Article
On the Slowly Decreasing Sequences of Fuzzy Numbers
^1Department of Mathematics, Faculty of Arts and Sciences, Celal Bayar University... | 5 | [
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0.030... | 21,342 | 21342 | |
Show if a,b,a1,b1 are hyperreal with a≈a1, b≈b1, and a,b are finite, then ab≈a1b1
May 25th 2011, 01:13 AM
SunRiseAir
Show if a,b,a1,b1 are hyperreal with a≈a1, b≈b1, and a,b are finite, then ab≈a1b1
More non-standard analysis (infinitesimal calculus). The problem is from the free online book "Elementary Calculus... | 5 | [
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0.05078125,
-0.043945312... | 21,343 | 21343 | |
Operations with negative sign
While working on an integration problem I found that I will arrive at two different solutions depending on how I approach it.
I'm finding the arc length of y=ln(1-x^2) on the interval [0,0.5]
The formula for finding the arc length is ∫sqrt[1+[f'(x)]^2]dx
So f'(x) = -2x / ( 1-x^2 )
Here... | 5 | [
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-0.06689453125,
-0.... | 21,344 | 21344 | |
First order linear - substitution - why take the +ve square root?
January 29th 2010, 08:56 AM #1
Member
Joined
Nov 2008
Posts
114
First order linear - substitution - why take the +ve square root?
Hi guys,
So the equation looks like this,
$\frac{dy}{dx} + \left(\frac{1}{2}\tan x \right)y = -(2\s... | 5 | [
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0.0303955078125,
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0.072265625,
0.00643920898437... | 21,345 | 21345 | |
Effect of mass and springs on the damping of mass spring system
The critical damping ratio of a system is often used to compare system damping to that which would result in a critically damped case (i.e. quickest settling time, no overshoot). This is given by:
[tex]\zeta = \frac{c}{2 \sqrt{k m}}[/tex]
where stiffness... | 4 | [
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... | 21,346 | 21346 | |
The story of e
Wednesday, 28 February 2007
Subject:
Overview
What do we mean by exponential growth? How quickly does your bank balance grow? How quickly does a cup of tea cool, or radium decay? What shape is a washing line and what is the link with Gresham
College?
Extra lecture materials
Transcript of the lecture... | 4 | [
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-0.... | 21,347 | 21347 | |
PDE - a few general questions
January 28th 2008, 09:08 PM
angels_symphony
PDE - a few general questions
Hi, I just had a few questions on PDE's just to make sure I'm doing thigs right.
Question 1
Given a function f(x,y) is the integration with respect to one variable (say x) of zero c + g(y) where c is ... | 5 | [
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0.0341796875,
0.0791015625,
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0.0203857421875,
0.00665283203125,
-0.05126953125,
-0.067382... | 21,348 | 21348 | |
Electric Field due to a Charged Cylinder
Doc Al
No. A "hollow disk" is a ring.
Oh...ok that makes sense now.
Doc Al
Start with the field from a ring of charge. Imagine the hollow cylinder as a stack of such rings and integrate.
Ok, so just to see if I am doing this right,
[tex]
{{dE}_{net}} = {{dE}_{P1_{z}}}... | 4 | [
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0.0118408203125,
0.06396484375,
-0.007171630859375,
-0.04150390625,
-0.11474609375,
0.044677734375,
... | 21,349 | 21349 | |
finding an epsilon
September 27th 2007, 07:43 PM #1
Junior Member
Joined
Sep 2007
Posts
38
finding an epsilon
I was wondering if someone could show me how to do this.
I need to find an N(epsilon) for the following sequences such that for all n>=N(epsilon) the absolute value of the nth element is les... | 5 | [
-0.025146484375,
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0.030517578125,
0.0205078125,
0.01275634765625,
-0.01275634765625,
0.03271484375,
0.... | 21,350 | 21350 | |
Patent US20050114029 - Determining water saturation for oil bearing thin-bedded formation having anisotropic resistivity
RELATED APPLICATION
The present patent application claims priority to U.S. Provisional Patent Application No. 60/503,112, filed Sep. 15, 2003, incorporated by reference herein in its entirety.
FIEL... | 4 | [
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-0.03076171875,
0.01806640625,
0.07275390... | 21,351 | 21351 | |
Combinations - basics
July 13th 2008, 02:48 PM #1
Junior Member
Joined
Jun 2008
Posts
27
Combinations - basics
Hello!
So I am just starting out with combinations and I'm a little confused and could very much use some advice. I'm working on a problem, and I keep running in circles, so let me start fr... | 4 | [
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-0.0260009765625,
0.033447265625,
-0.055908203125,... | 21,352 | 21352 | |
Area of Trapezoid
November 21st 2009, 11:51 PM #1
Junior Member
Joined
Jul 2009
Posts
35
The plane area shown in the figure consists of an isosceles trapezoid(non-parallel sides equal) and a segment of a circle. If the non-parallel sides are tangent to the segment at points A and B,
find the area of t... | 4 | [
0.00836181640625,
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0.030029296875,
-0.01025390625,
0.032958984375,
0.08544921875,
-0.119140625,
0.017456054... | 21,353 | 21353 | |
linear approximation
September 23rd 2008, 08:48 PM
thecount
linear approximation
Using the linear approximation to f(x) = cos x at the point x = 1 to estimate
the value of cos(1.03) works well because cos x looks like a line when you zoom
in on it.
true/false
September 23rd 2008, 10:08 PM
Chop Sue... | 5 | [
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0.0228271484375,
0.0296630859375,
0.028076171875,
-0.00799560546875,
-0.0198974609375,
0.05517578125,
0.03515625,
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0.091796875,
-0.00567626953125,
0.07275390625,
-0.060791015625,
0.003997802734375,
-0.0810546875,
0.01318359375,
-0.02819... | 21,354 | 21354 | |
Integration problem
March 3rd 2007, 10:43 AM #1
Member
Joined
Oct 2006
Posts
84
Integration problem
i have to integrate e^(2x) * cos(3x) dx by parts.
so far, I have u = e^(2x), u' = 2e^(2x), v' = cos(3x), and v = 1/3 sin (3x)
This means that the integral of e^(2x) * cos(3x) dx is:
e^(2x) *... | 5 | [
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Patent US5841679 - Vector computation device and vector computation method
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a vector computation device and a vector computation method to search data close to the input vector data from plural vector data as a search target.
2. De... | 4 | [
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0.0698242... | 21,356 | 21356 | |
Z-module homomorphism
November 27th 2009, 09:01 AM
james123
Z-module homomorphism
Quote:
Let $M=\{(a_i): a_i \in \mathbb{Z}, i\geq 1\}$ (M a $\mathbb{Z}$-module); let N be the Z-submodule of M generated by $\{e_n: n\geq 1\}$ (where $e_n = (0,0,\ldots,0, 1 \text{(nth place)}, 0, \
ldots)$). Let $g:M\to\m... | 5 | [
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0.015625,
0.125,
0.0108642578125,
0.049560546875,
0.052734375,... | 21,357 | 21357 | |
Retraction in surface of genus g
1. The problem statement, all variables and given/known data
In the surface Mg of genus g, let C be a circle that separates Mh' and Mk' obtained from the closed surfaces Mh and Mk by deleting an open disk from each. Show that Mh' does not retract onto its
boundary circle C, and hence Mg... | 4 | [
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0... | 21,358 | 21358 | |
Linear Approximation Application
September 4th 2007, 09:44 PM #1
Newbie
Joined
Aug 2007
Posts
7
Linear Approximation Application
I'm having some trouble applying linear approximation and changes, so I'm stuck on this question.
The diameter of a tree = 10 in.
Circumference increases by 2 in
A... | 5 | [
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A question which my friend gave me
November 1st 2009, 03:12 AM #1
Newbie
Joined
Nov 2009
Posts
1
A question which my friend gave me
6 men and 3 women stand in a Straight line
How many diff ways can they stand such that no two women stand next to each other?
The men can arrange themselves in $6!$... | 4 | [
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Hypothesis testing and the power of the test
I am having trouble understanding the concept of the power of the test. Here is a sample question with solution:
A company wants to test if average weekly demand is more than 2000 lbs. Test is to be carried out at 5% level of significance, and an estimate of the population ... | 5 | [
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-0.069... | 21,361 | 21361 | |
User:Michiexile/MATH198/Lecture 1
From HaskellWiki
1 Welcome, administrativia
I'm Mikael Vejdemo-Johansson. I can be reached in my office 383-BB, especially during my office hours; or by email to mik@math.stanford.edu.
I encourage, strongly, student interactions.
2 Introduction
2.1 Why this course?
An introducti... | 4 | [
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0.00744... | 21,362 | 21362 | |
need help on sequences topic
December 25th 2012, 02:52 AM #1
Member
Joined
Nov 2012
From
hyderabad
Posts
96
need help on sequences topic
Find and simplify an expression for the sum of the natural numbers from (n + 1) to 2n inclusive.
i tried to solve it but couldnt i came to 0.5*(3n+1)(n-1) ...th... | 4 | [
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-0.003662109375,
-0.0142... | 21,363 | 21363 | |
Holomorphic automorphism
June 2nd 2006, 12:16 AM
naty
Holomorphic automorphism
I need to prove, that f is holomorphic automorphism C*=C\{0}, when
it's formation is
fa(z)=az
or
fa(z)=a/z
for some non-zero complex number a.
Can anybody help me?
Thank you...
June 3rd 2006, 06:21 PM
T... | 5 | [
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-0.061035... | 21,364 | 21364 | |
airline probability
October 23rd 2007, 09:26 AM
dclift
airline probability
airline passengers arrive randomly and independently at the passenger screening facility at an airport. The mean arrival rate is 10 passengers per minute. What is the probability of no arrivals
in a 15 second period.
October 23rd 200... | 5 | [
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A Vibration Method for Discovering Density Varied Clusters
ISRN Artificial Intelligence
Volume 2012 (2012), Article ID 723516, 8 pages
http://dx.doi.org/10.5402/2012/723516
Research Article
A Vibration Method for Discovering Density Varied Clusters
Department of Computer Engineering, Islamic University of Gaza, Pale... | 4 | [
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Im having trouble with these
What specific type of answer is your teacher looking for? I'm assuming that you are looking for numerical answers. Until I know for sure, I can give you a little bit of guidance, that, hopefully, is
not too obvious. I would break down the problem into steps. First, we have your given proble... | 5 | [
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0.012... | 21,367 | 21367 | |
Unifying Gravity and EM
Hello:
Clifford algebra = Geometric Algebra.
David Hestenes has promoted GA as a label over Clifford algebra because Clifford was one guy who worked on some aspects of this approach, while Geometric Algebra suggests what the math does. I only
figured that out at the end of the 8th Internationa... | 4 | [
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0.033203... | 21,368 | 21368 | |
Integral Domain
May 21st 2011, 09:41 PM #1
Junior Member
Joined
May 2009
Posts
54
Integral Domain
I have a doubt. I know C ( [0,1] , R ) ie, continuous functions from [0,1] to the real numbers is not a integral domain. But C ( R , R ), ie, continuous functions the real numbers to the real
numbers is ... | 5 | [
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... | 21,369 | 21369 | |
Rolles Theorem
March 31st 2011, 01:53 PM
worc3247
Rolles Theorem
Let $f(x)=(x^2-1)^n$. Using Rolle's theorem, prove that $f^{(n)}(x)$ is a polynomial of degree n, with distinct roots, all of which lie in the interval (-1,1).
Can anyone help to get me started with this question?
March 31st 2011, 06:59 PM
ka... | 5 | [
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-... | 21,370 | 21370 | |
Differentiate 80*[sqrt (500^2+x^2)] + 50*(800-x)
May 17th 2009, 03:42 PM #1
Junior Member
Joined
May 2009
Posts
29
Differentiate 80*[sqrt (500^2+x^2)] + 50*(800-x)
Differentiate 80*[sqrt (500^2+x^2)] + 50*(800-x).
I've started by
80*[sqrt (500^2+x^2)] + 50*(800-x)
=80* (250000 + x^2)^(1/2)... | 5 | [
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0.07861328125... | 21,371 | 21371 | |
Lebesgue measure and Hausdorff dimension
December 2nd 2011, 10:05 AM #1
Junior Member
Joined
Sep 2011
Posts
31
Lebesgue measure and Hausdorff dimension
Let $E\subset\mathbb{R}^{n}$ be a set that is not measurable with respect to the n-dimensional Lebesgue measure. Show that $E$ has Hausdorff dimension n.... | 4 | [
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Volumes are Awesome
February 1st 2009, 07:09 AM
zhupolongjoe
Volumes are Awesome
http://www.math.rutgers.edu/~greenfi...dfstuff/w2.pdf
Problem 2:
Basically I know how to calculate the work for the cylinder. Since they have the same volume, we know the volume of the cones, but since they are the same de... | 5 | [
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0.0... | 21,373 | 21373 | |
What would be the running time of the following program? Recent test question: • /r/learnprogramming
all 6 comments
[–]lightcloud52 points3 points4 points
sorry, this has been archived and can no longer be voted on
Here's an attempt at a more rigorous analysis.
The outer for loop will run exactly n times. The inner... | 5 | [
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Triangle Inequalities
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ Triangle Inequalities ┃
┃ Topic Index | Geometry Index | Regents Exam Prep Center┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━... | 4 | [
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Patent US4926184 - Angle measurement device for amplitude monopulse receivers
This is a continuation of co-pending application Ser. No. 931,734 filed on Nov. 17, 1986, now abandoned.
FIELD OF THE INVENTION
The present invention relates to an azimuthal-angle measurement device, to be used in an amplitude comparison mo... | 4 | [
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... | 21,376 | 21376 | |
Velocity of boat
February 21st 2009, 12:37 PM #1
Banned
Joined
Jan 2009
Posts
58
Velocity of boat
A straight river is 20 m wide. The velocity of the river at (x, y) is $v=[-(3x(20-x))/(100)]j m/min, 0<=x<=20$
A boat leaves the shore at (0, 0) and travels through the water with a constant velocity. I... | 4 | [
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0.00665283203125,... | 21,377 | 21377 | |
Bilinear Forms
January 11th 2010, 08:47 AM #1
Member
Joined
Jul 2009
Posts
168
Bilinear Forms
f:VxV -> F
we call f a withered form if there's a vector $ve 0$ for which f(v,u)=0 for all u in V.
Could f be not-withered, while there still is a $ve 0$ for which f(u,v)=0 for all u in V?
(BTW : $... | 5 | [
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-... | 21,378 | 21378 | |
Simplify involving indices
October 2nd 2009, 07:17 AM #1
Junior Member
Joined
Aug 2009
From
Derbyshire, central UK
Posts
28
Simplify involving indices
Hi. I don't know the answer to this one, could someone check my reasoning and working please?
Simplify $\frac{2a^-2}{a^\frac{-3}{2}}$
Workin... | 4 | [
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Solve For T?
August 29th 2011, 12:42 AM
ain
Solve For T?
Dear all,
Someone have an idea how to solve my equation below?
I want to get T1 T2 T3 and T4.
The main equation:
T1=u(1)*m1/(cos(theta)*cos(psi))
T2=u(2)*Ix + Iz*psidot*thetadot - Iy*thetadot*psidot
T3=[u(3)*Iy - Iz*psidot*phidot ... | 4 | [
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0.0002593994140625,
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0.12890625,
-0.10693359375,... | 21,380 | 21380 | |
Global-in-Time Asymptotic Solutions to Kolmogorov-Feller-Type Parabolic Pseudodifferential Equations with Small Parameter—Forward- and Backward-in-Time Motion
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 941878, 10 pages
http://dx.doi.org/10.1155/2013/941878
Research Article
Global-in-Time Asymptotic ... | 5 | [
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find area of polar graph
February 1st 2010, 03:53 PM #1
Junior Member
Joined
Jan 2009
Posts
71
find area of polar graph
the area shared by the circle r=2 and the cardiod r=2(1-cos(x))
so it looks like the limits of integration are from -pi/2 to pi/2.
squaring both gets 4 and 4-8cos(x)+4cos(x)^2... | 5 | [
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... | 21,382 | 21382 | |
Logarithm
March 31st 2008, 12:26 PM #1
Member
Joined
Nov 2007
Posts
149
Logarithm
How would you find the values of $x$ for these logarithms:
a. $log_x \frac {1}{5} = -\frac {1}{4}$
b. $log_x 81 = \frac {3}{4}$
I put both of them in exponential form:
a. $x^\frac {-1}{4} = \frac {1}{5}$
... | 4 | [
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compounded interest rate
October 4th 2009, 01:42 PM #1
Junior Member
Joined
Sep 2009
Posts
66
compounded interest rate
A sum of 1600 dollars is deposited in an account with an interest rate of r percent per year, compunded daily. At the end of 7 years, the balance in the account is given by
A=1600 (1... | 4 | [
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Write th folowing in Logarithmic Form
I am really stuck with this problem, any help would be greatly appreciated d^5/f^2=h^0.25(c/e-g)^3 Thanks, JP
Hello, JP! The instructions are rather vague. I assume we are to take logs ... then "expand" the expression. $\frac{d^5}{f^2} \:=\:h^{\frac{1}{4}}\left(\frac{c}{e-g}\right... | 5 | [
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Iterated Kernels and Images
February 21st 2011, 07:03 AM #1
Iterated Kernels and Images
Yo !
I've a problem about kernel and endomorphism. And i'm a little bit worried 'cause i'm blocked when i've just answered the first question. But let's see...
Ok, so we have $E$ a $\mathbb{K}$-vector space and $f$ an... | 5 | [
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Another beginners calculus problem
October 28th 2010, 05:41 AM
jayshizwiz
Another beginners calculus problem
Find an $M>0$ so that every $x>M$ fulfills $\frac{6x^2-7\sin x}{3x+1} > 1000$
I've been brainstorming ideas, but it's a bit frustrating since I can't simplify the equation like I usually do.
Her... | 4 | [
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How to factor equations with an exponent of 3
If by "factor" you mean "factor into terms with integer coefficients", the "rational root theorem" is useful: if x= m/n is a rational root of the polynomial ax^n+ bx^n-1+ ...+ cx+ d= 0 (where all
coefficients are integers) then the numerator m is a factor of the constant te... | 4 | [
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Maximal ideals of C[x,y]
February 9th 2009, 09:45 PM #1
Newbie
Joined
Dec 2008
Posts
23
Maximal ideals of C[x,y]
Why maximal ideals in a ring of two-variable polynomials with complex coefficients are those generated by x - c, and y - d, for some complex c and d?
Thanks
this is a special case o... | 5 | [
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Inner product/Projections
April 30th 2010, 06:17 PM #1
Inner product/Projections
Use the inner product
in
projection of
Which is wrong.
The projection of f onto L is given by f(x)-{g(x) dot f(x)/||g(x)||^2}*g(x)
The inner product of g(x) and f(x) is
(3 (-3)^2+6 (-3)+3) (2 (-3... | 5 | [
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Hyperbolic functions
November 2nd 2010, 11:57 AM #1
Newbie
Joined
Aug 2010
Posts
23
Hyperbolic functions
I am really not understanding these. For example i have
cosh6x+sinh6x
i know that cosh is 1/2(e^x + e^-x) and sinh is 1/2(e^x - e^-x)
so... what now?
1/2(e^x + e^-x)6x+1/2(e^x - e^... | 4 | [
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Can work done be infinite?
CompuChip
What Dale said :-)
To give a numerical example, suppose that I push a block at a constant force of F = 10 N. Initially the block is at rest, and after 2 seconds I stop pushing. The total work on the block is ##W = (10~
\mathrm N) \cdot (2~\mathrm s) = 20~\mathrm J##. After this ... | 4 | [
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Computing Covariance Matrices with PDL
on Jul 08, 2007 at 20:45 UTC ( #625532=snippet: print w/ replies, xml ) Need Help??
... | 4 | [
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Patent US7231305 - Flow rate determination
RELATED APPLICATIONS
This Application claims priority of U.S. Provisional Patent Application No. 60/493,134 filed Aug. 7, 2003 the contents of which are hereby incorporated by reference herein in its entirety.
FIELD OF THE INVENTION
The present invention relates generally t... | 4 | [
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Near Optimum Power Control and Precoding under Fairness Constraints in Network MIMO Systems
International Journal of Digital Multimedia Broadcasting
Volume 2010 (2010), Article ID 251719, 17 pages
http://dx.doi.org/10.1155/2010/251719
Research Article
Near Optimum Power Control and Precoding under Fairness Constraint... | 4 | [
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Double and Single slit equations revised..
Hi, I had already posted a thread on this topic, but since it was getting really messy, I decided to start a fresh thread. Please reply to this thread.
Please check my solutions:
Calculate the angle that will form between the centre maximum and the third-order dark fringe if ... | 4 | [
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theorem 28.1 of Ostrowski's "Solutions of equations and systems of equations"
July 21st 2011, 09:28 AM #1
Newbie
Joined
Jul 2011
Posts
1
theorem 28.1 of Ostrowski's "Solutions of equations and systems of equations"
Hi,
I have been strugling with a proof which I can't seem to understand.
It conce... | 4 | [
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Annual Yield of bond
October 2nd 2008, 04:56 PM #1
Newbie
Joined
Sep 2008
Posts
9
Annual Yield of bond
A US government bond matures in 10 years. Its quoted price is now 97.8, which means the buyer will pay $97.80 per $100 of the bond's face value. The bond pays 5% interest on its face value each
year... | 5 | [
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Change of variable dif equation problem
cyclovenom
[tex] v^3 + 10v = m \frac{dv}{dt} [/tex]
If you think about this physically for a sec
you'll see you need a minus sign.
dv/dt really aught to be getting smaller
not bigger.
mv' = -(v^3 + 10v)
this is seperable as above.
[tex] -\frac{dv}{v^3 + 10v} = m dt [/tex]... | 5 | [
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