content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
the encyclopedic entry of orbit
In physics, an orbit is the gravitationally curved path of one object around a point or another body, for example the gravitational orbit of a planet around a star.
Historically, the apparent motion of the planets were first understood in terms of epicycles, which are the sums of numero... | 4 | [
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0.... | 35,000 | 35000 | |
angle between the vectors ..........
a) Ok, so we have two vectors a = <3, 2, sqrt(3)> b = <3, 1, sqrt(6)> We should begin by determining some kind of formula for this: ||a||*||b||cos(x) = a*b So first we find the magnitude of each of
these vectors, which is: ||a|| = (9 + 4 + 3)^.5 = 4 ||b|| = (9 + 1 + 6)^.5 = 4 We sho... | 4 | [
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Homework Help
Posted by Artmisha on Friday, May 30, 2014 at 2:16pm.
For 3 and 4 find the range, variance, and standard deviation. Round to the nearest tenth.
3. Twelve students were given an arithmetic test and the times (in minutes) to complete it were
10, 9, 12, 11, 8, 15, 9, 7, 8, 6, 12, 10
4. The normal daily t... | 4 | [
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MathGroup Archive: August 2007 [00170]
[Date Index] [Thread Index] [Author Index]
Re: Integration with non-numeric parameters
• To: mathgroup at smc.vnet.net
• Subject: [mg79793] Re: Integration with non-numeric parameters
• From: Pet... | 5 | [
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real roots for polynomials
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is there any necessary and sufficinet condition for a complex polynomial to have a real root?
A complex polynomial ... | 5 | [
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Common Core Standards : CCSS.Math.Content.HSN-CN.A.1
Common Core Standards: Math
Math.CCSS.Math.Content.HSN-CN.A.1
1. Know there is a complex number i such that i^2 = -1, and every complex number as the form a + bi with a and b real.
It's a little-known fact that in Disney World, in the Journey into the Imagination ... | 4 | [
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0... | 35,005 | 35005 | |
math-radical equations
Posted by Jennifer on Sunday, May 4, 2008 at 3:48pm.
Here's one of the questions I have problems with:
cube root of (x+2)=6th root of (9x+10)
A. -1, 6
B. [-13 +/- sqrt(193)]/2
C. 1, -6
D. [13 +/- sqrt(145)]/2
Please explain how to solve this. Should you cube both sides, or raise both to th... | 4 | [
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Lin. Transformation
October 1st 2007, 05:25 PM #1
Member
Joined
Sep 2006
Posts
221
Lin. Transformation
NOTE: [a, b, c, d] <-- form is a vector and BOLD denotes a vector, unless referring to R.
Suppose that T is a linear transformation from R^4 to R^3, defined by:
T(e_1) = [1, 5, 3], T(e_2) = [2... | 5 | [
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Math-Population Word Problem
Posted by Jake on Tuesday, March 26, 2013 at 9:34pm.
The population of rabbits in a national forest is modeled by the formula P=8,600+650 ln(t+1) where "t" is the number of years from the present.
a)How many rabbits are now in the forest
b)Estimate when it will take for the number of rab... | 4 | [
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Homework Help
Posted by Anonymous on Wednesday, February 2, 2011 at 12:32pm.
A ball is shot straight up into the air with initial velocity of 47 ft/sec. Assuming that the air resistance can be ignored, how high does it go?
• Calculus - helper, Wednesday, February 2, 2011 at 2:11pm
A ball is shot straight up in... | 4 | [
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graphs in math
Posted by Pam on Sunday, January 20, 2013 at 2:35am.
C varies inversely as J. If C = 7 when J = 0.7, determine C when J = 12
• graphs in math - Reiny, Sunday, January 20, 2013 at 8:44am
C varies inversely as J ---> C = k(1/J) , where k is a constant
when C=7, J=.7
7 = k(1/.7)
k = 4.9... | 4 | [
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Curves
Next: Surfaces Up: Coordinate Geometry Previous: Conics
To emphasise the obvious, the fundamental difference between lines and curves is that the latter are ``curved''. How do we quantify this ``curvy-curvy''-ness or curvature? We shall give a definition
and examine some properties.
Let C denote the curve... | 4 | [
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Chain rule for exponential functions
February 11th 2010, 12:52 PM
Jools
Chain rule for exponential functions
I have a question I could use a little help with here...
Find the equation of the tangent to the function f(x) = 3^(x^2+1) - x^2 at (1 , 8)
I have used the difference rulwe and the chain rule f... | 5 | [
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Combinatorial Properties and Characterization of Glued Semigroups
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 436417, 8 pages
http://dx.doi.org/10.1155/2014/436417
Research Article
Combinatorial Properties and Characterization of Glued Semigroups
^1Departamento de Matemáticas, Universidad de Cádiz, ... | 4 | [
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trapezoid and circle
December 15th 2006, 07:34 PM
Dragon
trapezoid and circle
An isosceles trapezoid is inscribed in a semi circle as shown below such that the nonshaded regions are congruent the radius of the semi circle is one meter. How many square meters are in the
area of the trapezoid?
December 15th 2... | 4 | [
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Latin American applied research
Servicios Personalizados
Articulo
Indicadores
Links relacionados
Bookmark
versión impresa ISSN 0327-0793
Lat. Am. appl. res. v.34 n.4 Bahía Blanca oct./dic. 2004
Minimum gas flow rate in a countercurrent isothermal gas stripper
A. Silva, C. Castillo and J. H. Krasuk^*
Departa... | 5 | [
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Determine the Potential Function
January 14th 2012, 07:26 AM #1
Determine the Potential Function
Folks,
Find the potential function for $F(x,y)=-2xy^3 \vec i -3x^2y^2 \vec j$
IF we take $\phi_x= -2xy^3$ and $\phi_y=-3x^2 y^2$
Integrating the first one wrt x gives
$\phi (x,y)=\int -2xy^3 dx = -... | 5 | [
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Triangle w/semicircle, calculating area, changing variables in length
June 7th 2009, 06:31 PM #1
Triangle w/semicircle, calculating area, changing variables in length
I'm reviewing for finals but this geometry question got me.
The figure above is an isosceles right triangle with a semicircle attached
a... | 4 | [
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pure type system
Context
Type theory
Deduction and Induction
Foundations
The basis of it all
Foundational axioms
• basic constructions:
• strong axioms
Removing axioms
Contents
Idea
A pure type system is an explicitly typed lambda calculus using dependent product as the type of lambda expressions: the ba... | 4 | [
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I need help again also would like to see if someone can double check for me
September 11th 2005, 05:46 PM #1
Newbie
Joined
Aug 2005
Posts
16
I need help again also would like to see if someone can double check for me
These are the ones I could use help with:
Reduce to lowest term:
x^2-y^2
---... | 4 | [
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0.0727539062... | 35,019 | 35019 | |
Infinite series (8)
Consider: $\sum_{k=1}^{2n}{(-1)^k\cdot \tfrac{\log(k)}{k}}=2\sum_{k=1}^{n}{\tfrac{\log(2k )}{2k}}-\sum_{k=1}^{2n}{\tfrac{\log(k)}{k}}$ Note that: $\sum_{k=1}^{n}{\tfrac{\log(2k)}{2k}}=\frac{1}{2}\c
dot \left(\log(2)\cdot \text{H}_n+\sum_{k=1}^{n}{\tfrac{\log(k)}{k}}\righ t)$ So we have: $\sum_{k=1}^... | 5 | [
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Knewton Challenge Discussion – GMAT Data Sufficiency (Rembolse Insurance) -
This is a Data Sufficiency problem from Session 5, Extra Practice HW 3 (Quantitative Strategy). So far, 49.6% of Knewton students have missed it. How would you approach it?
Try it out, then share your answers, questions, and thought processes ... | 4 | [
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Need help! Minimum Problem
October 14th 2009, 10:57 PM
Zippyz
Need help! Minimum Problem
Hi (Hi)
9t^4 + 6t^2 + 2
the problem is asking for the value of t at which the graph is at it's minimum.
what i did was set t^4 to x^2 and t^2 to x. So that means I have 9x^2 + 6x + 2.
Completing the squa... | 5 | [
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-... | 35,022 | 35022 | |
How to find the y-intercept and slope.
December 2nd 2007, 04:50 AM #1
Newbie
Joined
Nov 2007
Posts
4
How to find the y-intercept and slope.
Hi ppl.
If Im given the coordinates below:
x: 32, 48, 64, 80, 96, 112
y: 6, 9, 12, 15, 18, 21
How do I find the slope and the y-intercept of the l... | 4 | [
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Find cot(x)
Function: csc(x)=-2 Quadrant: 4 find cot. Anyone? Last question of the year.
$<br /> \frac{1}{sinx} = -2<br />$ $<br /> -2sinx = 1<br />$ $<br /> sinx = -\frac{1}{2}<br />$ $<br /> sin^{-1}\left(-\frac{1}{2}\right) = -\frac{\pi}{6}<br />$ easy to get $cotx$ from this since
$cosx(-\frac{\pi}{6}) = -\frac{\s... | 4 | [
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... | 35,024 | 35024 | |
Binomial {stats}
The Binomial Distribution
Description
Density, distribution function, quantile function and random generation for the binomial distribution with parameters size and prob.
Usage
dbinom(x, size, prob, log = FALSE)
pbinom(q, size, prob, lower.tail = TRUE, log.p = FALSE)
qbinom(p, size, prob, lower.ta... | 5 | [
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... | 35,025 | 35025 | |
one more identity to prove
$\frac{\sin{2x}}{\cos{x}} + \frac{\cos{2x}}{\sin{x}} = \frac{2\sin{x}\cos{x}}{\cos{x}} + \frac{\cos^2{x} - \sin^2{x}}{\sin{x}}$ $= 2\sin{x} + \frac{\cos^2{x} - \sin^2{x}}{\sin{x}}$ $= \frac{2\sin^2
{x} + \cos^2{x} - \sin^2{x}}{\sin{x}}$ $= \frac{\sin^2{x} + \cos^2{x}}{\sin{x}}$ $= \frac{1}{\s... | 4 | [
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0.075683... | 35,026 | 35026 | |
Factorization
May 13th 2013, 11:04 PM #1
Hi there!
How does one factorize $x^3 + (x^-3) - 2$?
I tried factorizing it by $x^3 - 1 + (x^-3) -1$ and a few other methods
but couldn't really get close to the answer.
Thanks
Re: Factorization
let x^3 = a
The equation becomes a + 1/a -2 = 0
... | 4 | [
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ouchdb
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Remove misleading or incomplete examples
If you then wa... | 4 | [
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... | 35,028 | 35028 | |
addition formula,
April 5th 2009, 01:47 AM #1
Junior Member
Joined
Jan 2009
Posts
57
addition formula,
Hi,
I have a proof for $cos( \theta + \delta) = cos \theta cos\delta - sin \theta sin \delta$
Apparently by writing $(\frac{\pi}{2}-\delta)$ for $\delta$ and using $cos(\frac{\pi}{2}-\delta)=s... | 4 | [
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Integration by trig substitution
June 3rd 2008, 09:07 PM #1
Member
Joined
Jun 2008
Posts
175
Integration by trig substitution
Trying to do the indefinate integral of x^3 * (9-x^2)^1/2 by using the substitution of x = 3 sin u I get 81* integral[ (sin^3 u)(cos u)] but again I appear to be wrong.
$x = ... | 4 | [
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0.00297546386... | 35,030 | 35030 | |
Expected Value for Poisson
August 31st 2011, 01:52 PM #1
Junior Member
Joined
May 2008
Posts
37
Expected Value for Poisson
A little context, here is the problem I am working on:
For a random variable X, let g(X) be given by g(X) = abs(X - m(X)), where m(X) is the median of X. Find g(X) for a Poisson... | 5 | [
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-0... | 35,031 | 35031 | |
Fourier Transform - not sure if I totally understand?
February 5th 2010, 03:09 PM
MeganKnox
Fourier Transform - not sure if I totally understand?
So the question states:
Find the fourier transform of the function f defined by:
f(x) = -e^(ax) x<0
= e^(-ax) x>0
I think I know what I'm doing, but t... | 5 | [
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Integration by trigonometric substitution
September 5th 2010, 09:59 PM #1
Senior Member
Joined
Feb 2008
Posts
297
Integration by trigonometric substitution
Could someone check whether I've got the correct answer for the following integrals?
1. $\displaystyle\int{\dfrac{dx}{x^2\sqrt{x^2+16}}$
I ... | 5 | [
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0.0556640625,
-0.051513671... | 35,033 | 35033 | |
Weird integral on assignment
September 13th 2008, 02:20 PM #1
Junior Member
Joined
Feb 2008
Posts
29
Weird integral on assignment
this integral appeared on an online assignment, but im really having troubles figuring out the domain region D on this. I could simply use the upper and lower limits to sketch... | 4 | [
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... | 35,034 | 35034 | |
help req/d proving an identity please?
December 7th 2009, 12:11 PM #1
Newbie
Joined
Nov 2009
Posts
17
help req/d proving an identity please?
hi there
can anyone get me a little bit further with this question?
prove the identity:
cos 3x = 4cos^3x -3cosx cos 3x can also =cos(2x+x)
so far ... | 4 | [
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0.0380859375,
0.059814453125... | 35,035 | 35035 | |
one derivative and one integration
July 11th 2007, 12:44 PM #1
Junior Member
Joined
Jul 2007
Posts
72
one derivative and one integration
I am having trouble with this derivative:
y = (2x+3/2x-3)^(1/4)
The whole fraction is raised to the 1/4 power..I am not so sure where to start but I need to do ... | 5 | [
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0.04931640625,... | 35,036 | 35036 | |
Homework Help
Posted by toma on Tuesday, December 11, 2012 at 4:18am.
A bacteria culture contains 200 cells initially and grows at a rate proportional to its size. After half an hour the population has increased to 360 cells.
(a) Find the number of bacteria after t hours.
(b) Find the number of bacteria after 4 hour... | 4 | [
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Comaximal Ideas in a Principal Ideal Domain
March 14th 2013, 01:43 AM
Bernhard
Comaximal Ideas in a Principal Ideal Domain
Prove that in a prinicpal ideal domain, two ideals (a) and (b) are comaximal if and only if a greatest common divisor of a and b (in which case (a) and (b) are said to be coprine or realtive... | 4 | [
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maximum error percentage
September 4th 2008, 10:40 PM #1
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May 2008
Posts
77
maximum error percentage
period T of a simple pendulum with small oscillations is calculated:
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L = length of pendulum, with 0.5% max error value
g = acceleration due to gravi... | 5 | [
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exponential function, I can't solve this problem.
October 11th 2009, 06:40 PM #1
Junior Member
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Oct 2009
Posts
29
exponential function, I can't solve this problem.
I've been struggling with this and I even asked 2 friends of mine to help me but they couldn't solve it.
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Homework Help
Posted by Z32 on Thursday, September 17, 2009 at 7:56pm.
I wanted to know how you would know that -4x^2 + 2x +90 / x-5 would be able to factor down to (x-5)(-4x-18)/x-5
By looking at -4x^2 + 2x +90 / x-5 , I would never think that it could be factored down to (x-5)(-4x-18)/x-5
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-0.... | 35,041 | 35041 | |
Double Angle Question W/Picture.
Use the Pythagorean Identity to simplify the double angle identity you've been given so far... \displaystyle \begin{align*} \sin^2{(x)} + \cos^2{(x)} \equiv 1 \end{align*}, so that means \
displaystyle \begin{align*} \cos{(2x)} &\equiv \cos^2{(x)} - \sin^2{(x)} \\ &\equiv 2\cos^2{(x)} -... | 4 | [
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0.0634765625,
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-0.00106811523437... | 35,042 | 35042 | |
Homework Help
Posted by Alex on Saturday, November 6, 2010 at 8:39pm.
Let F be the function defined by F(X)=12X to the 2/3 power minus 4X Find the intervals of which F is increasing? Find X & Y coordinates of all relative max. pts? Find X and Y Coordinates of all
relative min pts? Find the intervals of which F is conc... | 4 | [
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Math Help
January 18th 2013, 09:36 PM #1
Junior Member
Joined
Aug 2012
From
us
Posts
66
power set
1. Is the power set P({1, {1,2}}) has an element {{ }, {1,2}} ?
2. Is R^2⊆R^3 false simply because of the different dimensions?
3. What is P(P(R^2))? If I view P(R^2) as any possible set of poin... | 5 | [
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Please help me with something my teacher didn't teach us
How do you do this problem? Which points on the graph of y=4-(x^2) are closest to the points (0,2)?
Welcome to the Math Help Forum! To find the point on $y=4-x^2$ closest to $(0,2)$, we first do as VonNemo said and use the distance formula to obtain a function o... | 4 | [
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0.09716796875,
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Senior Maths Challenge question
November 5th 2009, 02:32 PM
123ohrid
Senior Maths Challenge question
Hello lads. So I did my senior maths challenge today, and there was a question which struck me as being difficult. I even asked my maths teacher and he couldn't solve it as fast as he could. So
who can run me... | 4 | [
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0.04... | 35,046 | 35046 | |
Discrete Model Reference Adaptive Control System for Automatic Profiling Machine
Journal of Control Science and Engineering
Volume 2012 (2012), Article ID 964242, 5 pages
http://dx.doi.org/10.1155/2012/964242
Research Article
Discrete Model Reference Adaptive Control System for Automatic Profiling Machine
College of... | 4 | [
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Math Help
November 13th 2007, 12:24 PM #1
Senior Member
Joined
Jul 2007
Posts
290
Ellipses
I get the general idea of finding the Verticies, Foci, Eccentricity, Major Axes, and the Minon Axes.
However i'm having trouble doing it with this problem
2x^2 + y^2 = 3
Can someone point me in the... | 4 | [
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-0.0240478515625,... | 35,048 | 35048 | |
Homework Help
Posted by Priscilla on Saturday, December 26, 2009 at 9:03am.
A race car can be slowed with a constant acceleration of -11 m/s^2
a. If the car is going 55 m/s, how many meters will it travel before it stops?
b. How many meters will it take to stop a car going twice as fast?
I know you use the equation... | 4 | [
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0.0023345947265625,
0.02478... | 35,049 | 35049 | |
Trigonometric Equations
Thru what method would you solve this problem? cos^2x = sin^2x +1 Linear Method Factoring Quadratic Formula Squaring
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... | 35,050 | 35050 | |
finding minimal point
October 28th 2010, 06:40 PM #1
Junior Member
Joined
Oct 2009
Posts
57
finding minimal point
I'm having trouble with this question...
To find the minimal point, is there an easier way other than plugging in all possible values?
Compute the polar coordinates and the xy-coord... | 5 | [
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Exam Review - Geometric Vectors
June 21st 2008, 05:47 AM #1
Member
Joined
Nov 2007
Posts
232
Exam Review - Geometric Vectors
A light plane is travelling at 175km/h on a heading of N8°E in a 40km/h wind from N80°E. Determine the plane's ground velocity using geometric vectors.
$|r| = \sqrt {175^2 + 4... | 4 | [
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Union and Intersection proof
September 30th 2012, 05:41 PM
fallenstars16
Union and Intersection proof
For a set of Y real numbers define a function C[Y] by;
C[Y](x)= {1 if x ∈Y,
0 if x is not ∈ Y.
Let Y and Z be a set of real numbers, find expressions for C[YUZ] and C[ynz]
YUZ={x∈R|x∈Y or x∈Z}
... | 4 | [
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Find height of liquid inside spherical container as it is being filled
September 14th 2010, 03:13 PM
surfertmex
Find height of liquid inside spherical container as it is being filled
Here is the problem:
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0.0791015625,
0.0250244140625,
-0.052734375,
-0.01348876953125,
-0.034423828125,
0.00640869140625,
0.111328125,
-0.026611328125,
-0.0164794921875,
0.048095703125,
0.0231... | 35,054 | 35054 | |
New View of Statistics: Log Transformations
A New View of Statistics © 2000 Will G Hopkins
Go to: Next · Previous · Contents · Search · Home
Generalizing to a Population:
MODELS: IMPORTANT DETAILS continued Log Transformation for Better Fits
In log transformation you use natural logs of the values of the variabl... | 5 | [
0.035888671875,
-0.0228271484375,
-0.016845703125,
0.027099609375,
0.0576171875,
-0.0859375,
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0.05859375,
0.08447265625,
0.049560546875,
0.056396484375,
0.06005859375,
-0.037841796875,
0.059326171875,
0.08984375,
-0.04443359375,
-0.0233154296875,
0.040283203125,
-0... | 35,055 | 35055 | |
Leaping frog Game
September 23rd 2006, 02:38 AM
Natasha1
Leaping frog Game
I wandered if anyone could give me as much as possible info on the task I need to investigate at:
http://maths.fallibroome.cheshire.sch.uk/leapfrog.swf
I have worked out that frog 3 blue frogs and 3 green frogs it will take me 1... | 4 | [
0.000812530517578125,
-0.00146484375,
0.05029296875,
-0.130859375,
-0.0322265625,
0.054931640625,
0.0380859375,
-0.01251220703125,
-0.04296875,
0.054931640625,
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-0.06689453125,
0.02978515625,
0.0400390625,
-0.0245361328125,
0.045166015625,
-0.08447265625,
0.000762939... | 35,056 | 35056 | |
Solving Quadratic Systems of Equations
May 10th 2008, 01:52 PM
mathgeek777
Solving Quadratic Systems of Equations
I have this system:
$x^2+2y^2-4x+6y-5=0$
$-x+y-4=0$
And I have to find the intersecting points of the two equations by using substitution and only substitution.
I solved the bottom... | 4 | [
0.0172119140625,
-0.033935546875,
-0.0269775390625,
0.0245361328125,
0.061767578125,
0.044189453125,
-0.046875,
-0.0341796875,
-0.000164031982421875,
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0.09521484375,
0.000020265579223632812,
0.0164794921875,
0.01446533203125,
-0.01708984375,
0.087890625,
0.009643554687... | 35,057 | 35057 | |
Limits of Exponential Functions
Everyone has their limit; logs and exponents are no different.
Let's look at the exponential function y = 4x. No matter what value of x you throw into it, though, you can never get y to be negative or zero. (How optimistic of it.) Try a few:
4^2, 4^3, 4^4 = 16, 64, 256
4^0 = 1
4^-2 =... | 4 | [
0.027099609375,
0.0177001953125,
-0.0751953125,
0.0238037109375,
-0.0169677734375,
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0.051025390625,
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-0.009033203125,
0.09423828125,
0.040771484375,
0.0625,
-0.09423828125,
0.0116577... | 35,058 | 35058 | |
Homework Help
If the average speed of an orbiting space shuttle is 19600 mi/h, determine the time required for it to circle the Earth. Make sure you consider the fact that the shuttle is orbiting about 200 mi
above the Earth's surface, and assume that the Earth's radius is 3963 miles
• physics - tchrwill, Thursday, ... | 5 | [
0.0283203125,
0.0257568359375,
0.006866455078125,
-0.062255859375,
-0.09033203125,
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0.091796875,
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0.068359375,
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0.037841796875,
-0.0263671875,
0.006622314453125,
0.013671875,
0.0230712890625,
-0.0026... | 35,059 | 35059 | |
Exponential distribution
March 21st 2008, 08:16 AM #1
Member
Joined
Jan 2008
Posts
154
Exponential distribution
Suppose that $\theta \sim \text{Exp}(\lambda)$. An estimator for $\theta$ is $\bar{X}$. Suppose that we know that $\frac{2n \bar{X}}{\theta} \sim \chi^{2}_{2n}$. Construct a $100(1-\alpha) \%$
... | 5 | [
-0.052001953125,
-0.09521484375,
0.0289306640625,
-0.035888671875,
-0.0198974609375,
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0.07861328125,
0.017578125,
0.0172119140625,
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0.0186767578125,
-0.00921630859375,
0.018310546875,
0.034912109375,
0.048828125,
-0.... | 35,060 | 35060 | |
Show the following sets are rings
October 3rd 2011, 02:46 PM
ehpoc
Show the following sets are rings
I am asked to show that the following sets are rings. And determine if they commutative.
A set that is a ring...... if you didn't know is (I am sure you did though)...
Quote:
1. Closure under addi... | 5 | [
-0.06494140625,
0.01806640625,
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0.046630859375,
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0.10791015625,
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0.016845703125,
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0.0294189453125,
-0.0849609375,
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0.0185546875,
-0.004730224609375,
... | 35,061 | 35061 | |
\varphi'''-\lambda\varphi=0
February 17th 2011, 04:10 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
\varphi'''-\lambda\varphi=0
$\varphi'''-\lambda\varphi=0$
$\varphi_1(0)=1, \ \varphi_2(0)=0, \ \varphi_3(0)=0$
$\varphi_1'(0)=0, \ \varphi_2'(0)=1, \ \varphi_3'(0... | 5 | [
-0.07470703125,
0.0206298828125,
-0.0302734375,
0.050537109375,
-0.046142578125,
0.01385498046875,
0.00604248046875,
-0.01336669921875,
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-0.0179443359375,
0.1328125,
-0.078125,
-0.0299072265625,
-0.0299072265625,
0.009033203125,
0.0284423828125,
-0.08251953125,
-0.00860... | 35,062 | 35062 | |
basic equations
November 8th 2007, 08:08 AM #1
Newbie
Joined
Oct 2007
Posts
21
basic equations
solve for x,y, and z
31x+12y-24z=105
18x+24y+z=77
12x+6y+4z=5
ive tried doing this several ways, but i get different answers every time. all i am able to really do is get rid of y by multiplying... | 4 | [
-0.04296875,
0.001983642578125,
-0.048095703125,
0.0291748046875,
-0.000568389892578125,
0.0174560546875,
0.01397705078125,
-0.0245361328125,
-0.0947265625,
0.036865234375,
0.0162353515625,
0.004852294921875,
0.07275390625,
-0.01019287109375,
-0.0186767578125,
0.025390625,
-0.1225585... | 35,063 | 35063 | |
Math Help
July 16th 2009, 03:35 PM #1
Newbie
Joined
Aug 2008
From
Butler, NJ
Posts
18
Investment
An investment advisor is planning the retirement of a customer. The customer has $10,000 dollars to invest and needs the investment to increase to $30,000 within 20 years...so 20 years or less.
... | 4 | [
0.04833984375,
0.072265625,
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0.07568359375,
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-0.00390625,
-0.020263671875,
... | 35,064 | 35064 | |
Math: Number Theory - Percents
Author Message
TAGS:
Math: Number Theory - Percents [#permalink] 22 Mar 2010, 14:24
25
... | 4 | [
0.006591796875,
0.00183868408203125,
-0.00469970703125,
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0.01470947265625,
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0.095703125,
0.0888671875,
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0.05029296875,
0.028564453125,
0.0498046875,
0.06689453125,
0.04638671875,
-0.0126953125,
0.038330078125,
-0.0361328125,
-0.02... | 35,065 | 35065 | |
Help me for nonlinear hyperbolic first order system of pde
June 19th 2008, 04:56 AM #1
Newbie
Joined
Jun 2008
Posts
1
Help me for nonlinear hyperbolic first order system of pde
Hi,
i have a problem with the solving of nonlinear hyperbolic first oder system of pde. This look like following
Can... | 4 | [
-0.06103515625,
0.005279541015625,
0.0036163330078125,
-0.08349609375,
-0.037841796875,
-0.01080322265625,
-0.037109375,
-0.0732421875,
0.007354736328125,
-0.0308837890625,
0.11962890625,
-0.07470703125,
-0.0036163330078125,
-0.0123291015625,
0.046142578125,
0.061767578125,
-0.039306... | 35,066 | 35066 | |
Fibonacci
ICS 161: Design and Analysis of Algorithms
Lecture notes for January 9, 1996
Introduction to analysis of algorithms
An algorithm is just the outline or idea behind a program. We express algorithms in pseudo-code: something resembling C or Pascal, but with some statements in English rather than within the
p... | 5 | [
-0.1279296875,
0.11328125,
-0.0693359375,
-0.057861328125,
-0.029296875,
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-0.012451171875,
0.0625,
-0.0238037109375,
0.053955078125,
-0.1259765625,
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0.0230712890625,
-0.02001953125,
-0.1181640625,
-0.03662109375,
-0.08203125,
0.019287109375,
0.0825195... | 35,067 | 35067 | |
How To integrate this?
March 1st 2009, 07:52 PM #1
Newbie
Joined
Jan 2009
Posts
20
How To integrate this?
$<br /> \int (x^2)/(\sqrt(9+x^2)) dx<br />$
** Thats the best I can make this equation look...
Anyways I have been trying to get this thing for hours, I clearly do not know what I'm doing. ... | 5 | [
-0.01483154296875,
-0.01214599609375,
0.0703125,
-0.00848388671875,
0.015869140625,
0.005035400390625,
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0.005157470703125,
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0.08544921875,
0.000820159912109375,
-0.015380859375,
0.046142578125,
-0.001251220703125,
-0.040771484375,
... | 35,068 | 35068 | |
Homework Help
Posted by kc on Sunday, July 24, 2011 at 8:47pm.
find the exact solutions in the interval [0,2pi), sin4x=-2sin2x
• pre cal 2 - Reiny, Sunday, July 24, 2011 at 11:00pm
sin4x=-2sin2x
2 sin2xcos2x = -2sin2x, ......... since sin2A = 2sinAcosA
cos2x = -1
2x = 180°, 360°, 540°, 720° which i... | 4 | [
-0.07080078125,
0.053466796875,
0.034912109375,
0.057373046875,
-0.016845703125,
0.016845703125,
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0.076171875,
0.0206298828125,
-0.0150146484375,
0.1025390625,
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0.0250244140625,
0.01611328125,
0.037353515625,
-0.046142578125,
0.00518798828125,
-0.0834960... | 35,069 | 35069 | |
Last maths question in the Oxford Physics Aptitude Test
November 10th 2008, 08:33 AM #1
Junior Member
Joined
Mar 2008
Posts
31
Last maths question in the Oxford Physics Aptitude Test
On the Oxford Physics Aptitude Test, this was the last question in the maths section.
I got
$<br /> \frac{9\... | 5 | [
-0.056640625,
-0.050537109375,
0.01953125,
0.033203125,
-0.08056640625,
0.0177001953125,
-0.03369140625,
0.0693359375,
0.019287109375,
0.036376953125,
0.048095703125,
-0.039306640625,
0.00799560546875,
0.0306396484375,
-0.0081787109375,
-0.0289306640625,
-0.05859375,
-0.033203125,
... | 35,070 | 35070 | |
anyone can help me in probability!!!
November 25th 2007, 01:33 PM #1
Newbie
Joined
Nov 2007
Posts
2
Hi every body i have small problem in probabiltity
the problem is
A university have 5 English sections ,if we distribute another 4 students to these sections
1_ Find the probability that 2 o... | 4 | [
0.0654296875,
-0.045166015625,
0.046142578125,
-0.04248046875,
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0.0069580078125,
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0.01312255859375,
0.07373046875,
0.076171875,
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0.0654296875,
0.07763671875,
-0.0019683837890625,
0.08837890625,
-0.044677734375,
-0.0373535156... | 35,071 | 35071 | |
Is this right? Finding function f(x) given tangent slope and f''(x)
May 14th 2008, 10:41 PM #1
Member
Joined
May 2008
Posts
77
Is this right? Finding function f(x) given tangent slope and f''(x)
Now I think I have the correct answer, but am not 100% sure. Is it correct, and if not, where did I screw up? ... | 4 | [
-0.095703125,
-0.0306396484375,
-0.0177001953125,
-0.04736328125,
0.01361083984375,
0.09619140625,
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0.07666015625,
0.01422119140625,
0.033203125,
0.0595703125,
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-0.00078582763671875,
-0.017333984375,
-0.00933837890625,
0.025390625,
-0.12353515625,
0.017... | 35,072 | 35072 | |
Hooke's law with spring
bearhug
When a 4.00 kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.50 cm. (a)If the object is replaced with one of mass 1.50 kg, how far will the spring
stretch?
b) How much work must an external agent do (i.e. a force coming from the 'envi... | 4 | [
0.0255126953125,
0.07177734375,
0.03173828125,
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0.052490234375,
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0.07763671875,
0.054443359375,
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0.029052734375,
0.02392578125,
0.0098876953125,
0.0810546875,
0.0029296875,
0.0546875,
-0.106... | 35,073 | 35073 | |
arithmetic progression
Posted by Anonymous on Sunday, October 16, 2011 at 5:08pm.
given that the first term of an Ap is 7 and its 10th term is twice the second term calculate the 19th term.
• arithmetic progression - Reiny, Sunday, October 16, 2011 at 5:19pm
a = 7
a+9d = 2(a+d)
9d +a = 2a+ 2d
7d = ... | 4 | [
-0.076171875,
-0.0390625,
0.10009765625,
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0.01312255859375,
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-0.0458984375,
-0.0927734375,
0.0238037... | 35,074 | 35074 | |
Legendre Symbol and Quadratic Reciprocity
January 24th 2010, 09:29 AM #1
Newbie
Joined
Feb 2009
Posts
7
Legendre Symbol and Quadratic Reciprocity
The question asks to define a Legendre symbol and use the Law of Quadratic Reciprocity to determine whether 135 is a quadratic residue modulo 283.
I alrea... | 5 | [
-0.00927734375,
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-0.01373291015625,
0.02099609375,
0.0... | 35,075 | 35075 | |
MathGroup Archive: January 2004 [00348]
[Date Index] [Thread Index] [Author Index]
Re: StruveH runtime error
• To: mathgroup at smc.vnet.net
• Subject: [mg45680] Re: StruveH runtime error
• From: vb at cybertester.com (Vladimir Bondar... | 5 | [
-0.04931640625,
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0.0250244140625,
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0.01483154296875,
-0.06298828125... | 35,076 | 35076 | |
amplitude of guitar string
October 7th 2009, 05:00 PM #1
Newbie
Joined
Sep 2009
Posts
4
amplitude of guitar string
Hey everyone, i need a hand with a question i have for an assignment...
a guitar string is vibrating in its fundamental mode, with a node at both ends. Given the length (0.390m). The ma... | 4 | [
0.010986328125,
0.0167236328125,
0.013427734375,
-0.09375,
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0.0361328125,
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... | 35,077 | 35077 | |
On Einstein's explanation of the invariance of c
1.
Here's what Motor Daddy's equations look like for the 3-D problem from two pages back:
t(x) = 1.201 seconds
v(x) = (ct - l) / t
v(x) = (1.201 - 1.000) / 1.201 = 0.167c
t(y) = 1.336 seconds
v(y) = (ct - l) / t
... | 4 | [
-0.0712890625,
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0.057373046875,
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0.01708984375,
0.0191650390625,... | 35,078 | 35078 | |
cardinality
December 8th 2009, 03:43 PM #1
Newbie
Joined
Dec 2009
Posts
2
Show that the sets [2,4] u [6,10] and (-2,2) have the same cardinality.(using the Schroeder-Berstein Theorem) so I have to define f: [2,4] u [6,10] --> (-2,2) by f(x)= any f(x) I get that
works... when you inverse it so that I d... | 4 | [
0.0301513671875,
0.005889892578125,
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0.038818359375,
-0.0766601562... | 35,079 | 35079 | |
SKM Systems Analysis, Inc. - Power System Software and Arc Flash Hazard Analysis and Design Solutions
Off-nominal Transformer Tap Settings
A transformer with turns ratio a interconnecting two nodes i, k can be represented by an ideal transformer in series with the nominal transformer leakage admittance as shown in Fi... | 4 | [
-0.10986328125,
0.07275390625,
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0.083984375,
0.015869140625,
0.005126953125,
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0.038818359375,
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0.047119140625,
-0.0159912109375,
-0.07763671875,
-0.009... | 35,080 | 35080 | |
[SOLVED] easy complex number questions
October 22nd 2009, 10:17 PM #1
Member
Joined
Dec 2008
From
Australia
Posts
161
hi, could someone check the answers of these for me? btw, the book says that they are all wrong. i dont understand why.
1. If z = 2 + i, evaluate:
a) 3z = 6 + 3i
b) $(z-1... | 5 | [
-0.11181640625,
0.05859375,
0.0098876953125,
0.09912109375,
0.00335693359375,
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0.05712890625,
0.0030975341796875,
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0.04541015625,
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0.053466796875,
0.043212890625,
-0.052734375,
-0.0306396484375,
-0.045654296875,
-0.03344... | 35,081 | 35081 | |
Proof about relations
March 16th 2013, 03:05 PM #17
Newbie
March 16th 2013, 03:01 PM #16
Newbie
Re: Proof about relations
??
Re: Proof about relations
I don't understand this example. Which are the elements of R?
The best I could come up with was an example:
A={1.2.3.4,5} R = <
R[A]=(1,2),(1,3),(1,4),(... | 4 | [
-0.00927734375,
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cyclic group
September 6th 2009, 07:11 PM
MathBird
cyclic group
Need some help on the following 2 related problems:
Show that any finitely generated subgroup of the additive group of rationals (Q,+,0) is cyclic.
Prove that this group is not isomorphic to the direct product of two copies of it.
September... | 5 | [
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[SOLVED] population proportion
August 30th 2009, 12:22 AM #1
Member
Joined
Oct 2008
Posts
206
[SOLVED] population proportion
2 populations are independently surveyed using s.r.s of size n, and 2 proportions, p1 and p2, are estimated. It is expected that both population proportions are close to 0.5. What ... | 5 | [
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0.0201416015625,
0.... | 35,084 | 35084 | |
objective and eyepiece lens
Posted by katherine on Friday, May 22, 2009 at 3:31am.
What is the approximate magnification of a compound microscope with objective and eyepiece focal lengths of 0.3 cm and 3.6 cm, respectively, and a separation between lenses of 20 cm?
The answer is 460.
I tried finding the magnificatio... | 4 | [
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The Computational Life
I regret to inform that I will no longer be updating this blog. However, if you're interested in any further writing I might do on evolution, programming, and the like, I encourage you to follow me
on Twitter. I'll post updates there.
Follow @elirm
Disclaimer: All characters depicted in the foll... | 4 | [
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Solving quadratics (mod p)
March 29th 2007, 04:06 PM #1
Newbie
Joined
Mar 2007
Posts
5
Solving quadratics (mod p)
I have a question. I am interested in finding the solution to congruences of the form:
x^2 + ax + b = 0 (mod p) with p a large prime. I am interested in an algoirthm for finding solution... | 5 | [
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Predictive Tracking in Vision-based Hand Pose Estimation Using Unscented Kalman Filter and Multi-viewpoint Cameras
1. Introduction
One of the major challenges in human-robot interaction is how to enable the use of unrestricted hand motion as a tool for communication. The direct use of hand as an input tool enables the... | 4 | [
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Polynomial rings - zero divisors in R and r[x]
Show that if R has no zero divisors then R[x] also has no zero divisors.
Thinking about this problem ... Let $f(x) = a_n x^n + ... + a_1 x + a_0$ and $g(x) - b_n x^n + ... + b_1 x + b_0$ Then $f(x)g(x) = c_{m+n} x^{m+n) + c_{m+n- 1} x^{m+n-1) + ... c_1 x + c_0$ where $c_k... | 4 | [
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Homework Help
Posted by Jules on Saturday, April 23, 2011 at 2:42pm.
Could someone answer this question so I understand it. Thanks
Given the supply function:
p = S(x) = 5(e^0.02x-1)
Find the average price (in dollars) over the interval [31,36].
Only the 0.02 is ^ in the e in the question.
• economics - bobpursl... | 5 | [
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Revista de la Unión Matemática Argentina
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versión On-line ISSN 1669-9637
Rev. Unión Mat. Argent. v.47 n.1 Bahía Blanca ene./jun. 2006
Dolbeault cohomology and deformations of nilmanifolds
Sergio Console
Abstract: In these notes I revie... | 4 | [
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Proof Help!!
March 24th 2008, 10:01 PM #1
Super Member
Joined
Feb 2008
Posts
535
Proof Help!!
Prove that:
"The summation" from k=2 to n of (k choose 2) = (n+1 choose 3). Let n be a natural number.
Please Help. thanks!
Hello, jzellt!
It helps if we know a few summation formulas:
.... | 4 | [
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Gauge theories
From Scholarpedia
Gerard ′t Hooft (2008), Scholarpedia, 3(12):7443. doi:10.4249/scholarpedia.7443 revision #141891 [link to/cite this article]
Gauge theories refers to a quite general class of quantum field theories used for the description of elementary particles and their interactions. The theorie... | 4 | [
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Solve for x: 0<|x|-4x<5 = ?
Author Message
TAGS:
Solve for x: 0<|x|-4x<5 = ? [#permalink] 15 Aug 2009, 23:44
4
This post was
... | 4 | [
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multiple roots
Let f(x) be an irreducible polynomial over Q of degree n>1. Prove f(x) has no multiple roots.
I think OP wants to prove that any extension of Q is separable? If a is a repeated root, then you can show that a is a root of both f(x) and f'(x), where f' is the derivative of a polynomial, defined
not by lim... | 4 | [
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trignometric identities
November 23rd 2011, 07:34 PM #1
Member
Joined
Feb 2010
From
in the 4th dimension....
Posts
122
Thanks
9
trignometric identities
prove that:
1. $\frac{\sin A + \sin 2A}{\cos A - \cos 2A} =\cot (A/2)$
2. $\frac{1+\cos A}{\sin A} = \cot (A/2)$
please help...
Re:... | 4 | [
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Basic but frustrating maximisation problem
August 8th 2011, 04:08 AM #1
Newbie
Joined
Aug 2011
Posts
23
Basic but frustrating maximisation problem
Please help me with this basic problem that I cannot solve;
Consider the following equation
U=(H-h) * (I^(1-e))/1-e
and the following identity
... | 5 | [
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Simple Equation
June 29th 2010, 07:35 PM #1
Newbie
Joined
May 2010
Posts
22
Thanks
1
Simple Equation
I was wondering if someone could show me the way to write this one up.
The sum of a number and it's reciprocal is 2 1/6 . What is the number? (sounds like fraction)
I got this far......
... | 4 | [
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sketch on complex plane
January 15th 2009, 05:59 PM #1
Junior Member
Joined
Oct 2008
Posts
39
sketch on complex plane
sketch abs(3z-2+5i)<3
i replace z with rcis(theta)
then do you move the other terms the the other side of the inequality and use them as asymptotes?
so it would become a ci... | 5 | [
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