content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Quadrature Disambiguation
Tyler C. Folsom
Abstract: Hubel and Wiesel received the Nobel prize for describing how individual cells in the cat brain respond to light. Other researchers have derived mathematical models that describe brain cells
as linear filters. My work investigates how these filters could be used in m... | 5 | [
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0.0... | 32,200 | 32200 | |
How do I take the antiderivative of cos(2x)? β’ /r/cheatatmathhomework
all 5 comments
[β]skaldskaparmal1 point2 points3 points
sorry, this has been archived and can no longer be voted on
[β]JimiZeppelin4[S] 0 points1 point2 points
sorry, this has been archived and can no longer be voted on
[β]bestpatriots0 points1 ... | 4 | [
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0... | 32,201 | 32201 | |
Circumcenter and orthrocenter of a triangle
December 30th 2009, 03:56 PM #1
Newbie
Joined
Dec 2009
Posts
4
Circumcenter and orthrocenter of a triangle
The points are X(70,15), Y(59,95), Z(52,28)
So far, I have slope of XY=-7.273, YZ=9.571, ZX=-0.722
Perp slope of XY= 0.138, YZ=-0.104, ZX=1.385
... | 4 | [
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Hard question
February 9th 2010, 10:33 PM
arze
Hard question
A region of the xy plane is defined by the inequalities
$0\leq y\leq \sin x$, $0\leq x\leq \pi$
Find:
(a) the area of the region
(b) The first moment of area about the x-axis,
(c) the coordinates of the centroid of this area.
... | 5 | [
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Euler problems/51 to 60
From HaskellWiki
Find the smallest prime which, by changing the same part of the number, can form eight different primes.
Solution:
Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits in some order.
Solution:
problem_52 = head [n | n <- [1..],
... | 4 | [
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Pre Calculus 12
Posted by Shreya on Tuesday, January 22, 2013 at 9:18pm.
Im trying to find the inverse of this: y = 2/3x-4
I got to this step
x+4 = 2/3y
I need to divide by 2/3 to get rid of 2/3 beside the y, but i dont know how to divide x+4/2/3 that looks complicated :\
β’ Pre Calculus 12 - Reiny, Tuesday, Janu... | 4 | [
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Area of a Regular Polygon
May 31st 2006, 04:35 PM #1
I was trying to find an equation to find the area of any regular polygon and I came up with this:
$A=\frac{tan(90-\frac{180}{s})d^2s}{4}$
$s$=# of sides
$d$=length of each side
and $90-\frac{180}{s}$ comes out in degrees
I think this equati... | 5 | [
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I need a little help for Simpson's rule.
April 14th 2008, 03:16 PM
arbolis
I need a little help for Simpson's rule.
I must find the simpson's rule by integrating the interpolant polynomial $P_2(x)$ of $f(x)$. The simpson's rule states that $\int_{a}^{b} f(x) dx \approx \int_{a}^{b} P_2(x) dx = \frac{b-a}{6}\
... | 4 | [
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line that is tangent to a curve ata particular point
April 15th 2012, 10:55 AM #1
Junior Member
Joined
Jan 2011
Posts
52
line that is tangent to a curve ata particular point
Find the line that is tangent to the curve with the function y^2=x+3 at point (6,-3)
I know m=dy/dx so implicit derivative is:... | 4 | [
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Observer-Based Robust Control for Hydraulic Velocity Control System
Mathematical Problems in Engineering
VolumeΒ 2013Β (2013), Article IDΒ 689132, 9 pages
http://dx.doi.org/10.1155/2013/689132
Research Article
Observer-Based Robust Control for Hydraulic Velocity Control System
^1School of Mechatronics, Harbin Institute... | 4 | [
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Almost Periodic Solutions for Neutral-Type BAM Neural Networks with Delays on Time Scales
Journal of Applied Mathematics
VolumeΒ 2013Β (2013), Article IDΒ 942309, 13 pages
http://dx.doi.org/10.1155/2013/942309
Research Article
Almost Periodic Solutions for Neutral-Type BAM Neural Networks with Delays on Time Scales
Dep... | 5 | [
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Need some compex analysis help
April 16th 2007, 07:57 PM
spoon737
Need some compex analysis help
I could use some help with this problem:
Suppose that f is analytic on a domain D and has a zero of order m at z(subscript 0) in D. Show that:
1.) f' has a zero of order m - 1 at z(subscript 0), and
2.)... | 5 | [
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system of linear equations question
April 18th 2011, 08:29 PM
fran1942
system of linear equations question
Hello, I have the following set of three linear equations. I am trying to solve for x,y,z using substitution.
x - y - z = 0
-2x + 4y = 0
3y - 2z = 3
My first step is to isolate 'y=z-x'
... | 4 | [
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mathematical model
February 23rd 2009, 11:29 AM #1
Newbie
Joined
Jan 2009
Posts
15
mathematical model
hi,
i have to find a mathematical model of the following sentence, but i am stuck.
$<br /> (\forall x \exists y x<y) \wedge (\forall x eg (x<x)) \wedge (\forall x \forall y \forall z (x<y \wedg... | 5 | [
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show smth has a solution?
April 21st 2010, 07:29 AM
cp05
show smth has a solution?
1. show that max{(x+y)^2 + y^2: x^2 + y^2=1} has a solution
i think i have to use continuity of f from R^2 -> R and connectedness of R and Intermediate 'Value Thm but dont know how :(
2. same kind of problem: show (x-1)^2... | 4 | [
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2nd PDE for Exam
September 13th 2010, 06:43 AM
woody198403
2nd PDE for Exam
Hi again,
$x^2u_x - y^2u_y = 0$ subject to $u(1,y) = F(y)$
Solution
$x = 1, y = s, u(s) = F(s)$
$\frac{dx}{dt} = x^2$
$\frac{dx}{x^2} = dt$
$\frac{-1}{x} = t +c$. Sub in $x = 1$ we have $- 1 = 0 + c$ so
... | 5 | [
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The Kirchhoff Index of Hypercubes and Related Complex Networks
Discrete Dynamics in Nature and Society
VolumeΒ 2013Β (2013), Article IDΒ 543189, 7 pages
http://dx.doi.org/10.1155/2013/543189
Research Article
The Kirchhoff Index of Hypercubes and Related Complex Networks
^1Department of Mathematics, Southeast University... | 5 | [
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... | 32,216 | 32216 | |
Urgent: Review problem for Final: Path Independence and Potential Functions
December 17th 2008, 08:30 PM #1
This isn't homework but it's on our review for our final and I can't figure out the second part to save my life.
Question: Let $F(x,y) = (2x + y^{2} + 3x^{2}y)i + (2xy + x^{3} + 3y^{2})j$. Show that the... | 4 | [
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Unbounded sequence?
October 4th 2008, 02:50 AM
bkarpuz
Unbounded sequence?
I have a solution for the following problem but I really wonder what kind of ways will be provided for this.
Problem. Let
$a(m,n)=<br /> \begin{cases}<br /> 67/256,&\mathrm{mod}(m,4)=0\text{ and }\mathrm{mod}(n,2)=0\\ %\delta<br ... | 5 | [
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A Python Implementation of The Log-Polar Transform, Redux
One of my
first posts to this blog
presented a Python implementation of the
log-polar transform
. Back then I was just beginning to learn
NumPy
, and didn't know many of its more useful tricks; in particular, I had no domain of
fancy indexing
, and did n... | 4 | [
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square of a function is not integrable
Is there a function f: R->R is integrable but f^2 is not? why?
Re: square of a function is not integrable
Theorem: If $f$ is an integrable function in $[a,b]$ then $f^2$ is an integrable function in $[a,b]$.
P.S. In response to the to reply #3.
It depends on ho... | 5 | [
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Eigenvalue Question
April 18th 2007, 07:23 AM #1
Junior Member
Joined
Dec 2006
Posts
48
Eigenvalue Question
Prove that a linear operator T on a finite dimensional vector space is invertible if and only if zero is not an eigenvalue of T
??
i'm a bit rusty in linear algebra (even though i took it... | 5 | [
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Asymptotic Almost Periodic Functions with Range in a Topological Vector Space
Journal of Function Spaces and Applications
VolumeΒ 2013Β (2013), Article IDΒ 965746, 7 pages
http://dx.doi.org/10.1155/2013/965746
Research Article
Asymptotic Almost Periodic Functions with Range in a Topological Vector Space
Department of M... | 4 | [
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variation of parameters
November 24th 2009, 01:27 PM #1
Member
Joined
Nov 2008
Posts
75
variation of parameters
y''+2y'+y=(e^-x)/(x^4) Solve using variation of parameters.
r^2 +2r +1
r=-1,-1 So, yc(x)= (C1)e^-x+(C2)e^-x(x)
y1=e^-x and y2=(e^-x)(x)
W = le^-x e^-x(x)l
l-e^-x e^-x + ... | 5 | [
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factoring x^4+5x^2+4
January 7th 2011, 08:39 PM
frankinaround
factoring x^4+5x^2+4
Hi, I needed to factor x^4+5x^2+4. I understand the answer is (x-2)(x-1)(x+1)(x+2)
Can anyone tell me how to go about answering this though? How do I figure it out?
January 7th 2011, 08:43 PM
dwsmith
let w^2=x^4
Janua... | 4 | [
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Beginners Number Theory Problem
April 7th 2009, 06:07 AM #1
Banned
Joined
Apr 2009
Posts
96
Beginners Number Theory Problem
I just started reading about number theory and here was the first problem verbatim.
$SUM[j=0,n] {j} = n(n+1)/2$
Remarks and Hints: A statement which is proved by inductio... | 4 | [
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Difficult Single Sample Hypotheses Test
March 23rd 2011, 05:08 PM
Champ83
Difficult Single Sample Hypotheses Test
It is believed that 1.333% of all the TV's manufactured by a company are defective. Suppose that a random sample of 800 new TV's manufactured by this company has 16 defectives.
Test, at 5% signi... | 4 | [
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-0.01385498046875,
0.021728515625,
-0.032470703125,
-0.0400390625,
0.0703125,
-0.072265625,
-0.02... | 32,226 | 32226 | |
Intuition for inclusion exclusion
October 9th 2011, 04:23 AM #1
Member
Joined
Jul 2011
Posts
196
Intuition for inclusion exclusion
I have been doing inclusion exclusion questions and while, for the most part, I can see what I am doing in each step and which subsets I am adding/removing, the following typ... | 4 | [
-0.0177001953125,
0.005157470703125,
0.08984375,
-0.00014209747314453125,
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-0.0264892578125,
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0.0390625,
-0.06787109375,
-0.00836181640625,
0.0419921875,
-0.0244140625,
-0.... | 32,227 | 32227 | |
Newton
Three Newton's Laws
Newton's three laws -- what do they mean?
Newton's laws provide a prescription for calculating the path of a body moving under the influence of external forces. In this knol, we explain the... | 4 | [
-0.040283203125,
-0.0576171875,
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-0.072265625,
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-0.0507812... | 32,228 | 32228 | |
finite and infinite sets...denumerable
Given Q is denumerable, such that R is not denumerable. Show now that R\Q is not denumerable.
Find injective map from the union of two countable sets to the naturals.
Problem: Given that $\mathbb{Q}\cong\mathbb{N}$ and $\mathbb{R}$ is not, prove that $\mathbb{R}-\ma... | 5 | [
0.0673828125,
0.0240478515625,
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0.0... | 32,229 | 32229 | |
If xy < 4, is x < 2 ? (1) y > 1 (2) y > x
Author Message
TAGS:
If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] 18 Mar 2012, 03:40
... | 4 | [
0.095703125,
0.035400390625,
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... | 32,230 | 32230 | |
Splitting Field of a Polynomial over a Finite Field
April 1st 2011, 02:53 PM
slevvio
Splitting Field of a Polynomial over a Finite Field
Hello everyone, I was wondering if I could get some help with this.
Find the splitting field of the polynomial $f = x^3 + 2x +1 \in \mathbb{Z}_3 [x]$
Well I know that... | 5 | [
-0.056884765625,
-0.00946044921875,
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college algebra
Factor out a $6x$. \begin{aligned} 6x^2 + 42x & = 0 \\ 6x(x + 7) & = 0 \end{aligned} Now note that if two numbers multiplied together equals to 0, then either one or both of the numbers are 0. So
let's set both factors (6x and the x + 7) equal to 0 to see what we get. $6x = 0 \qquad x + 7 = 0$ Can you c... | 4 | [
0.025390625,
0.062255859375,
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0.00885009765625,
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0.09228515625,
... | 32,232 | 32232 | |
Matrice - Ax=b A^-1b =x
March 9th 2010, 05:26 PM #1
Member
Joined
Feb 2009
Posts
91
Matrice - Ax=b A^-1b =x
Hi
I am hoping I am in the right spot - it is a linear algebra class but 1st year so take pity on me.....
A is 1 1 1 1
2 3 4 4
3 4 4 4
4 5 4 5
B is 4
5
6
3
... | 5 | [
-0.0252685546875,
-0.0205078125,
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-0.048583984375,
... | 32,233 | 32233 | |
Difficult anti differentiation question
March 6th 2013, 10:28 PM #1
Newbie
Joined
Feb 2013
From
Australia
Posts
9
I have a curve, x^3 - 14x^2 + 59x -70 , and I need to run this line through it, mx - 70 , to make the area above the curve enclosed by the line equal to HALF of the area below the line enc... | 5 | [
-0.024169921875,
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-0.0088500976... | 32,234 | 32234 | |
Brazilian Archives of Biology and Technology
Serviços Personalizados
Artigo
Indicadores
Links relacionados
Compartilhar
versΓ£oΒ impressaΒ ISSN 1516-8913
Braz. arch. biol. technol.Β v.48Β n.speΒ CuritibaΒ jun.Β 2005
http://dx.doi.org/10.1590/S1516-89132005000400003Β
... | 4 | [
-0.0146484375,
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0.02880859375... | 32,235 | 32235 | |
Circles within a square
April 27th 2010, 06:31 AM
BG5965
Circles within a square
http://i301.photobucket.com/albums/n...5965/MASBc.png
This is part c) of a problem using circles within squares - the first 2 parts included information necessary for part c), which included the length of the rope if the total ... | 4 | [
0.035400390625,
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0.03... | 32,236 | 32236 | |
Complex variables : f(z) = zIm(z^2)?
December 6th 2012, 07:00 PM #1
Junior Member
Joined
Oct 2012
From
malaysia
Posts
32
Complex variables : f(z) = zIm(z^2)?
Complex variables: f(z) = z Im(z^2)?
If f(z) = z Im(z^2), determine the points in the complex plane such that f is differentiable.
Re: Co... | 4 | [
-0.03466796875,
0.053466796875,
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-0.040771484375,
-0.069... | 32,237 | 32237 | |
Finding integers? Point of tangency?
August 22nd 2008, 12:44 PM
realintegerz
Finding integers? Point of tangency?
Intro to Calc HELP!?????? Finding integrs?
1)Find an integer, x, greater than 4 where the sum of x consecutive integers is divisible by x
2) Show that the equation above gives the correct... | 5 | [
-0.034423828125,
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0.046875,
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0.002716064453125,
-0.023193359375,
0.... | 32,238 | 32238 | |
Trigonometry Problem
August 21st 2013, 01:14 PM #1
Junior Member
Joined
Jun 2013
From
Ireland
Posts
43
Trigonometry Problem
Hi, I would appreciate any help with the problem below.
A river flows due east and a tower [cd] stands on its left-hand bank. From a point a upstream and on the same bank o... | 4 | [
-0.0035247802734375,
0.1357421875,
-0.0308837890625,
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0.0390625,
0.05859375,
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0.02355957031... | 32,239 | 32239 | |
N: P(N=n)=(3/5)[(2/5)^n], find E(N)
November 15th 2012, 03:32 PM #1
Junior Member
Joined
Jul 2008
Posts
38
N: P(N=n)=(3/5)[(2/5)^n], find E(N)
Suppose the number of children N of a random family satifies P(N=n)=(3/5)[(2/5)^n] where n=0,1,2,... Compute E(N).
I went through the math and I come up with... | 5 | [
-0.037353515625,
-0.0016021728515625,
0.068359375,
0.0052490234375,
-0.0205078125,
-0.040771484375,
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-0.005767822265625,
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-0.031005859375,
-0.0167236328125,
-0.064453125,
0.0234375,
0.00567626953125,
-0.0... | 32,240 | 32240 | |
Finding the differential of the function
Alright I hope you guys don't mind, I just have another question to ask you, but it should go by fast because I know the steps in solving it anyways.
This is under the "Mean Value Theorem" section, and asks:
Verify that the function satisfies the hypotheses of the Mean Value T... | 4 | [
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0.0081787109375,
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0.001129150390625,
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0.06201171875,
0.0184326171875,
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0.07568359375,
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0.059814453125,
0.0306396484375,
-0.050537109375,
-0.00848388671875,
-0.0184326171875,
-0.023... | 32,241 | 32241 | |
Indoor Pedestrian Positioning Tracking Algorithm with Sparse Anchor Nodes
International Journal of Distributed Sensor Networks
VolumeΒ 2013Β (2013), Article IDΒ 247306, 7 pages
http://dx.doi.org/10.1155/2013/247306
Research Article
Indoor Pedestrian Positioning Tracking Algorithm with Sparse Anchor Nodes
School of Comp... | 4 | [
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-0.0128173828125,
0.050048828125,
0.039062... | 32,242 | 32242 | |
The Art of Computer Programming: Introduction to Algorithms
This chapter is from the book
In this chapter from Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd Edition, Donald E. Knuth discusses the history and definition of the algorithm, notational conventions used in
the book, and features of a... | 4 | [
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-0.051025390625,
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-0.052978515625,
-0.020263671... | 32,243 | 32243 | |
Confused with Simple Vector Spaces
March 20th 2009, 05:53 AM
anewguy
Confused with Simple Vector Spaces
Hi,
I have the vectors:
u = [1 2 1] w = [-1 0 1] q = [2 0 -2] r = [0 2 2]
and I have the vector space:
S = { au + bw | a, b β R }
I know how to answer questions which ask if a vector b... | 5 | [
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-0.0016021728515625,
-0.05029296875,
0.0751953125,
-0.01123046875,
-0.0595703125,
-0.004486083984375,
-0.0703125,
-0.08984375,... | 32,244 | 32244 | |
Efficiency: prime test vs prime generator
P: 62
I've been on fall break, so haven't had a chance to answer - sorry.
To answer an earlier question more accurately, I have posted this before but I'm not sure it was here. The physics/math forum I referred to was on sciforums.com, not here.
I believe, based only on the ex... | 4 | [
-0.0400390625,
0.0322265625,
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0.0654296875,
-0.01348876953125,
0.01953125,
-0.014404296875,
0.00830078125,
0.035888671875,
0.011962890625,
0.04296875,
-0.052490234375,
0.003662109375,
-0.05224609375,
-0.01141357... | 32,245 | 32245 | |
algebra problem
June 2nd 2009, 10:06 PM
the undertaker
algebra problem
$\frac{1}{\sqrt{n}}-\frac{1}{\sqrt{n+1}}<font color=$
" alt="\frac{1}{\sqrt{n}}-\frac{1}{\sqrt{n+1}}
" />
is there a quick way to find out wha the sum of the series would be
if u reolace the n with 1, then 2, then 3 up to....... | 4 | [
-0.05322265625,
0.01263427734375,
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0.035888671875,
0.046875,
-0.036865234375,
-0.07666015625,
0.0034942626953125,
0.04296875,
0.046875,
-0.1298828125,
-0.0380859375,
0.04931640625,
-0.0771484375,
0.0490... | 32,246 | 32246 | |
Easy to understand Dynamic Programming β Edit distance | Java Code Geeks
Easy to understand Dynamic Programming β Edit distance
Following the topic of the last post, I will discuss another problem that can be solved efficiently using dynamic programming. Unlike the Fibonacci sequence that we saw on the introduction po... | 5 | [
-0.041259765625,
0.07470703125,
-0.0673828125,
-0.06298828125,
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0.08447265625,
0.019287109375,
-0.00091552734375,
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0.0040283203125,
0.059326171875,
-0.0130615234375,
-0.057861328125,
0.0322265625,
0.00433349609375,
0.01... | 32,247 | 32247 | |
Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method
Abstract and Applied Analysis
VolumeΒ 2013Β (2013), Article IDΒ 717540, 9 pages
http://dx.doi.org/10.1155/2013/717540
Research Article
Solution of Fractional Partial Differential Equations in Fluid Mechanics by... | 5 | [
-0.06787109375,
0.004241943359375,
0.10400390625,
0.00014495849609375,
-0.0140380859375,
0.0147705078125,
-0.083984375,
0.032958984375,
0.0172119140625,
-0.0299072265625,
0.04248046875,
0.03515625,
-0.0308837890625,
0.0703125,
-0.0615234375,
-0.0087890625,
-0.048095703125,
0.010314... | 32,248 | 32248 | |
Prove that this integral function is continuous.
November 14th 2009, 11:39 AM
tttcomrader
Prove that this integral function is continuous.
If $f \in L^1(m)$ and $F(x) = \int _{- \infty}^{x}f(t)dt$, then F is continuous on $\mathbb {R}$
Proof so far.
Let $x_0 \in X$,
I need to show that $\forall \ep... | 5 | [
-0.0162353515625,
-0.03173828125,
0.04052734375,
-0.01483154296875,
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0.0286865234375,
0.0791015625,
0.099609375,
0.004974365234375,... | 32,249 | 32249 | |
[Help Me!] Linear motion equations with drag resistance
September 25th 2009, 09:20 AM #1
Junior Member
Joined
Dec 2008
From
London
Posts
45
[Help Me!] Linear motion equations with drag resistance
I've been taught about the normal linear motion equations now i've been set this task
1. Identify t... | 5 | [
0.0106201171875,
-0.005157470703125,
0.08935546875,
0.00787353515625,
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0.037841796875,
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0.0130615234375,
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-0.022216796875,
0.033203125,
-0.06591796875,
-0.00775146484375,
-0.00946044921875,
0.0546... | 32,250 | 32250 | |
Homework Help
Posted by Jason on Friday, March 9, 2007 at 4:02pm.
Here's a chalenging one that i can't do at all.
A deck of cards has 6 yellow, 6 green, and 5 black cards. You pick four cards from the deck. Cards are not returned after they are picked.
What's the probability of picking-
first not green, second not ... | 4 | [
0.0177001953125,
0.078125,
-0.031982421875,
-0.014892578125,
0.061767578125,
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0.017578125,
-0.031982421875,
0.08837890625,
-0.00604248046875,
-0.04028... | 32,251 | 32251 | |
Set Theory : Help Needed Plz
March 13th 2008, 07:43 AM
KOXKOXKOX
Set Theory : Help Needed Plz
How Can I Prove That :
1 - A Is a Subset Or Equal To P(A)
2- P(A/\B) = P(A) /\ P(B)
WHRE A AND B ARE SETS
/\ IS INTERSECTION
Thanks FOR THE HELP IN ADVANCE
March 13th 2008, 08:14 AM
Plato
Yo... | 4 | [
-0.053466796875,
0.0208740234375,
0.072265625,
-0.01129150390625,
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0.0196533203125,
-0.04052734375,
0.04638671875,
0.047119140625,
-0.0138549804687... | 32,252 | 32252 | |
Problem 40
November 10th 2007, 07:12 PM
ThePerfectHacker
Problem 40
1)This problem is for the younger kids give them a chance, please. Let $A,B$ be randomly chosen from $\{ 1,2,...,2007 \}$ (they can be the same). What is the probability that it is possible to
find two real numbers that have their product eq... | 5 | [
-0.034912109375,
0.041748046875,
0.0247802734375,
-0.031982421875,
-0.033203125,
0.0159912109375,
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0.025634765625,
-0.048828125,
-0.00592041015625,
-0.09716796875,
0.041015625,
0.06640625,
0.0072021484375,
-0.0751953125,
0.0283203125,
0.0027923583984375,
-0.05249023437... | 32,253 | 32253 | |
Homework Help
Posted by Tashanna on Saturday, August 11, 2007 at 4:07pm.
How many different 5- member committees can be formed from 9 students?
A.24 B.126 C.15,120 D.362880
9!/(5!*4!)
1*2*3*4*5*6*7*8*9/[(1*2*3*4*5)(1*2*3*4)]
= 6*7*8*9/(1*2*3*4)
=126
Related Questions
math - No results were found for the search ... | 4 | [
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0.0025634765625,
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-0.04296875,
-0.03466796875,
-0.0380859375,
... | 32,254 | 32254 | |
Solving a trigonometric equation.
November 12th 2010, 01:09 PM #1
Junior Member
Joined
Jan 2010
Posts
66
Solving a trigonometric equation.
I was asked to solve the following equation:
$2sin(x) + csc(x) = 3$
I solved it by changing the csc(x) to $\frac{1}{sin(x)}$ and then by multiplying through... | 4 | [
-0.1474609375,
-0.0078125,
-0.0272216796875,
0.08740234375,
-0.0291748046875,
0.037353515625,
-0.036865234375,
-0.0281982421875,
0.064453125,
-0.01458740234375,
0.054443359375,
-0.09326171875,
0.01519775390625,
0.056396484375,
0.021728515625,
-0.057861328125,
-0.0107421875,
0.03613... | 32,255 | 32255 | |
Homework Help
Posted by Aayush on Wednesday, August 5, 2009 at 12:24pm.
a)in how many different ways can 8 exam papers be arranged in a line so that the best and worst papers are not together?
b)in how many ways can 9 balls be divided equally among 3 students?
c)There are 10 true-false questions. By how many ways ca... | 5 | [
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0.0234375,
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0.050537109375,
-0.05322265625,
-0.00970458984375,
-0.111328125,
-0.0257568359375,
... | 32,256 | 32256 | |
interpretation of the equation of a plane
January 26th 2013, 04:14 PM #1
Junior Member
Joined
Dec 2012
From
china
Posts
30
interpretation of the equation of a plane
Recently, I found an equation r(s,t)= r0 + sv + tw ,
which is a plane with a point and two vectors lying on it.
I don't know why... | 4 | [
-0.103515625,
-0.00775146484375,
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-0.05224609375,
-0.088... | 32,257 | 32257 | |
Logarithms...again
October 28th 2007, 10:34 AM #1
Member
Joined
Oct 2007
Posts
77
Logarithms...again
log(base 2) (x+4) + log(base 2) (x+8)=5
Here's my work:
log(2) (x+4)(x+8)=10
x^2+12x+22=0
(x+11) (x+2)
-11,-2-->Answers
But my teacher said you don't use negative numbers, so wh... | 4 | [
-0.01043701171875,
0.049560546875,
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0.00592041015625,
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0.091796875,
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0.072265625,
-0.10595703125,
0.07470703125... | 32,258 | 32258 | |
Normal distribution question
April 14th 2010, 09:06 PM
downthesun01
Normal distribution question
The tensile strength of a certain metal component is normally distributed with a mean of 10,000 kilograms per square centimeter and a standard deviation of 100 kilograms per square centimeter.
Measurements are re... | 5 | [
0.00250244140625,
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... | 32,259 | 32259 | |
Integration help required~~
September 16th 2012, 03:28 AM #16
Newbie
Joined
Sep 2012
From
Australia
Posts
12
Re: Integration help required~~
So when I integrated them, I got
ln (u) -6ln(1+6u)-6ln(1/1+6u)
is this right? if it's right do i just subsitute the u back to the original value?
Re: ... | 5 | [
-0.08203125,
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0.03173828125,
-0.03173828125,
0.03710937... | 32,260 | 32260 | |
I need help with quadratic word problem
November 30th 2009, 08:44 AM #1
Newbie
Joined
Oct 2009
Posts
13
I need help with quadratic word problem
The path that a hit baseball takes is given by the formula h=-.0032d^2+d+3 where h = height of the baseball (in feet) and d= distance from home plate (in feet)
... | 4 | [
0.036376953125,
0.08935546875,
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0.10986328125,
-0.02294921875,
0.1044921875,
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0.056640625,
0.0264892578125,
0.0791015625,
-0.00445556640625,
0.00921630859375,
... | 32,261 | 32261 | |
question regarding total derivates
January 9th 2009, 10:16 PM #1
Junior Member
Joined
Oct 2007
Posts
43
question regarding total derivates
Suppose I have variables x, y and z given parametrically as functions of two variables u and v.
How can I get the total derivative of z with respect to the varia... | 4 | [
0.0263671875,
0.000762939453125,
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0.015380859375,
-0.07958984375,
0.0544433... | 32,262 | 32262 | |
Measurable Functions
April 17th 2010, 08:52 AM #1
Member
Joined
Feb 2010
Posts
147
Measurable Functions
Let f:[0,1] --> (0, $\infty$) be a (Lebesgue) integrable function
and define g to be: $g(x) = \sqrt{f(x)}$. Show that g is integrable.
Answer:
If g is a measurable function, I can easily ... | 4 | [
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-0.0252685546875,
0.10009765625,
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0.0634765625,
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0.07421875,
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... | 32,263 | 32263 | |
circle problem please help
September 30th 2009, 12:04 AM #1
Junior Member
Joined
Jul 2009
Posts
68
AB and CD are two chords of a circle intersecting each other at P such that AP = CP. show that AB = CD
(1) $AP=CP$..........................................Given
(2) $AP \cdot PB = CP \cdot PD$....... | 4 | [
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0.0216064453125,
-0.023681640625,
0.056396484375,
-0.058349609375,
-0.01104736... | 32,264 | 32264 | |
Posts by
Total # Posts: 53
English
Does the word rains in the following question need and apostrophe? The rains soft touch is healing.
chem
The normal boiling point of water is 100.0 C. Do you expect the boiling point of water to be greater than, less than, or equal to 100.0 C on top of Mt. Whitney, CA where the atm... | 5 | [
-0.07470703125,
-0.04638671875,
0.09765625,
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0.0179443359375,
-0.0390625,
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0.0751953125,
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-0.0654296875,
-0.050048828125,
-0.06738281... | 32,265 | 32265 | |
complex numbers question
February 26th 2010, 11:24 PM #1
Newbie
Joined
Feb 2010
Posts
4
complex numbers question
hi guys, this is my first post.
wondered is you could help me with these two questions, its the methods i need more than the answers
1) the complex numbers z and w satisfy the simult... | 5 | [
-0.10791015625,
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-0.051513671875,
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-0.051513671875,
0.03125,
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0.0625,
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0.000492095947265625,
0.007720947265625,
-0.0791015625,
-0.0859375,
... | 32,266 | 32266 | |
Best Estimate from mean and mean squared deviation
January 6th 2013, 08:21 AM #1
Newbie
Joined
Jul 2010
From
UK
Posts
24
Best Estimate from mean and mean squared deviation
Hi,
I don't have a clue to the correct way of attempting this question:
Eight measurements of the volume of a block of i... | 4 | [
0.02880859375,
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0.006622314453125,
-0.06396484375,
-0.056884765625,
0.05517578125,
0.07958984375,... | 32,267 | 32267 | |
Solving Integral
1. February 27th 2010, 02:18 PM #1
2. February 27th 2010, 02:22 PM #2
Note that $\frac{d}{dx} \ln x = \frac{1}{x}$.
The Fundamental Theorem of Calculus states that if F'(x) is the derivative of F(x), then $\int _a ^b F'(x) \cdot dx = F(b) - F(a)$.
In your question, this ... | 5 | [
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0.004760742... | 32,268 | 32268 | |
Limit of a sequence.
October 18th 2008, 11:55 AM
Showcase_22
Limit of a sequence.
I wasn't sure which section this belonged to so I decided to post it here.
Quote:
Use a method to approximate $\sqrt 2$ using a sequence of rational numbers. Do the same for $\sqrt 3.$
I started it like this:
$... | 5 | [
-0.09033203125,
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0.0289306640625,
-0.01965332031... | 32,269 | 32269 | |
solving equations in English
December 22nd 2006, 08:36 PM #1
Member
Joined
Sep 2006
Posts
99
solving equations in English
Systems of equations can be easily solved through the matrix. But when English is used, the difficulty of the problem is compounded. I am stumped by this question, I cannot figure out... | 4 | [
0.0869140625,
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0.011413574... | 32,270 | 32270 | |
Calc test tomorrow.. need help studying
November 18th 2007, 03:18 PM #1
Newbie
Joined
Oct 2007
Posts
8
Calc test tomorrow.. need help studying
I have a calc test tomorrow, and as I was studying, there were some problems I couldn't figure out. Can anyone help me with these, please..?
1) Find the equa... | 5 | [
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-0.09375,
-0.017578125,... | 32,271 | 32271 | |
Just another lambdabananacamel,
A couple of weeks back, I got an email from Antti-Juhani who'd just processed
my request to have this blog added to planet Haskell. He pointed out
that I seemed to have gone awfully quiet⦠Basically, not had a lot of
tuits recently, but now I'm working through SOE a bit more seriously,
h... | 5 | [
-0.061767578125,
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0.0035552978515625,
-0.0206298828125,
-0.0830078125,
0.017333984375,
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0.01019287109375,
0.005401611328125,
0.0625,
-0.0146484375,
0.0081787109375,
... | 32,272 | 32272 | |
Homework Help
Posted by angie on Saturday, June 13, 2009 at 12:50am.
y^2-6y=-7
x^2=8x-41
(4x-1)(2x+6)=3x
45-t^2=0
(3x-6)^2=33
β’ math - drwls, Saturday, June 13, 2009 at 6:47am
They want you to solve for the unknown variable. You need to rewrite the equation in quadratic form
ax^2 + bx + c = 0, first of... | 4 | [
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... | 32,273 | 32273 | |
More related rates.
Posted by Tracy on Friday, November 3, 2006 at 4:02pm.
Heyy, its me again. So last night I asked a related rate question, and I think I still don't get it. I tried it a few differnt ways and I think I'm just missing something...I don't think a speed of a
rocket can be 0.018km/hr:S. So heres what ha... | 5 | [
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0.029541015625,
... | 32,274 | 32274 | |
A
In [rodrikapurIJCAR03], an abstract framework for automatically generating loop invariants of imperative programs was proposed. This framework was then instantiated for the language of conjunctions
of polynomial equations for expressing loop invariants. This paper presents an algebraic foundation of the approach. It ... | 4 | [
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0.102... | 32,275 | 32275 | |
limits problem
June 30th 2008, 06:32 PM #1
Newbie
Joined
Jun 2008
Posts
10
Halllo
I need to proove (in a formal way) in a formal way that when n=>infinity, lim (n^n)/((n!)^2)=0
if someone can hekp i would relly appriciate it...
Omri
let $a_n=\frac{n^n}{(n!)^2}.$ then: $\frac{a_{n+1}}{a... | 5 | [
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0.0419921875,
0.016357... | 32,276 | 32276 | |
Two Logarithmic Function Problems
March 15th 2008, 10:51 AM #1
Newbie
Joined
Jan 2008
Posts
18
Two Logarithmic Function Problems
I'm having trouble solving these two problems:
1.) $log_2(x+7) + log_2(x) = 3$
2.) $e^x + 2 = 8e^{-x}$
Your assistance is much appreciated.
Ignore the solut... | 4 | [
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0.015625,
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-0... | 32,277 | 32277 | |
Generalized Kolmogorov Complexity for EOMs and GTMs
Next: Expressiveness of EOMs and Up: Complexity of Constructive Descriptions Previous: Complexity of Constructive Descriptions
Definition 3.2
(Generalized tex2html_wrap_inline$K_T$) Given any TM T, define
Compare Schnorr's ``process complexity'' for MTMs [#!S... | 4 | [
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-0.020263671875,
0.046630859375,
-0.... | 32,278 | 32278 | |
Red Solution
If a deck has n cards, r red and b black, the best strategy wins with a probability of r/n. Thus, you can say "red" on the first card, the last card, or any other card you wish. Proof by induction on
n. The statement is clearly true for one-card decks. Suppose it is true for n-card decks, and add a red car... | 5 | [
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0.0191650390625,
0.05224... | 32,279 | 32279 | |
Application of Distributive Property
What is the Distributive Property?
The distributive property (aka distributive law) is a property of real numbers which says that the product of a number say a and the sum (or difference) of two numbers say b and c, is equal to the
sum (or difference) of the product of a and b and ... | 4 | [
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0.0712... | 32,280 | 32280 | |
Number conversions
$9E2B.D05_{16}$ to binary $1011010111001.01101_{2}$ to decimal $5386.94_{10}$ to hexadecimal Thanks.
Hello, Dean! $9E2B.D05_{16}$ to binary Since 16 is a power of 2, there is a special trick we can use. Convert each hexidecimal digit into its (four-digit) binary equivalent. . . For example: . $9 =
1... | 4 | [
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0.051513671875,
-0.050048828125,
0.0673828125,
-0.132... | 32,281 | 32281 | |
help me!!! (partial derivative)
August 5th 2008, 08:17 PM #1
Newbie
Joined
Apr 2008
Posts
5
help me!!! (partial derivative)
1. Take the derivatives of the following functions with respect to x (β/βx):
2. Calculate the partial derivative with respect to x (β/βx) and y (β/βy ):
3. Let g = f (x, y... | 5 | [
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0.09228515625,
-0.1279296875,
0.01409... | 32,282 | 32282 | |
areas under a normal curve
Hi; I need to know the formula for calculating area's under a curve of normal distributions without tables. Thanks.
The area under the standard normal curve, from x= a to x= b, is, as I suspect you knew, $\frac{1}{\sqrt{2\pi}}\int_a^b e^{\frac{-x^2}{2}}dx$. If you are asking for a way to fin... | 4 | [
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0.017333984375,
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0.037841796875,
0.044... | 32,283 | 32283 | |
Hopf Bifurcation Analysis for the Modified Rayleigh Price Model with Time Delay
Abstract and Applied Analysis
VolumeΒ 2013Β (2013), Article IDΒ 290497, 6 pages
http://dx.doi.org/10.1155/2013/290497
Research Article
Hopf Bifurcation Analysis for the Modified Rayleigh Price Model with Time Delay
School of Science, Tianji... | 5 | [
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-0.0390625... | 32,284 | 32284 | |
Extrema if you can
April 14th 2008, 05:30 AM #1
Newbie
Joined
Apr 2008
Posts
12
Extrema if you can
Hey i've found this one incredibly tough i don't know if it's just me(probably) but i think its hard and can't seem to get anywhere
Suppose f(x,y)= A(x2 + Bx + y2 +Cy). What values A, B, C give f(x,y) ... | 5 | [
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0.08203125,
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... | 32,285 | 32285 | |
solving this equation problem
December 3rd 2005, 12:31 PM
rpatel
solving this equation problem
so far i have solved the answer to part a).
but i can't seem to solve the equation for part b) though. to solve this qudractic do i have to use the qaudractic formula?
any help is appreichated thank you.
... | 4 | [
-0.0186767578125,
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-0.0390625,
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0.032470703125,
0.042724609375,
-0.0275... | 32,286 | 32286 | |
Looking for alternate approach
September 25th 2012, 05:07 PM
SlipEternal
Looking for alternate approach
Greetings,
I have a problem similar to the following:
Suppose at some call center, there are a lot of people available to take calls. They are grouped according to their average success rate. There a... | 4 | [
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0.0693359375,
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0.0198974609375,
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0.0810546875,
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Power Increasing Sequences and Their Some New Applications
Abstract and Applied Analysis
VolumeΒ 2012Β (2012), Article IDΒ 436094, 6 pages
http://dx.doi.org/10.1155/2012/436094
Research Article
Power Increasing Sequences and Their Some New Applications
P.O. Box 121, Bahçelievler, 06502 Ankara, Turkey
Received 10 Augus... | 5 | [
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0.04052734375... | 32,288 | 32288 | |
Polynomial L^2 approximations
May 13th 2010, 08:48 PM
ktcyper03
Polynomial L^2 approximations
Here is a study problem for my final exam tomorrow (its in 9 hours... help!):
Find the quadratic or lower-order polynomial that is the best approximation to cos(pie X) (using the L^2 norm) on the interval [-1, 1].
... | 4 | [
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... | 32,289 | 32289 | |
the encyclopedic entry of SKI calculus
SKI combinator calculus is a computational system that is a reduced, untyped version of Lambda calculus.
All operations in Lambda calculus are expressed in SKI as binary trees whose leaves are one of the three symbols S, K, and I (called combinators). In fact, the symbol I is add... | 5 | [
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-0... | 32,290 | 32290 | |
Jordan blocks
May 10th 2011, 06:49 PM #1
Jordan blocks
Dear MHF members,
my problem reads as follows. I have some ideas about some parts of the problem but I would like to share it completely because I find the problem nice.
Problem. Consider the system $\mathbf{X}^{\prime}=\mathbf{A}\mathbf{X}$, where $... | 5 | [
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-0.06201171... | 32,291 | 32291 | |
Question of change of variables in definite integral.
July 25th 2013, 07:53 AM #1
Junior Member
Joined
Jul 2013
From
Arizona
Posts
44
Thanks
2
Question of change of variables in definite integral.
I want to proof:
$\int_{-\pi}^0 e^{jz\cos \theta}\cos(m\theta) d\theta=\int_0^{\pi} e^{jz\cos \t... | 5 | [
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0.00872802734375,
0.035400390625,
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0.03271484375,
0.07958984... | 32,292 | 32292 | |
Estimating the reproductive number in the presence of spatial heterogeneity of transmission patterns
Abstract
Background
Estimates of parameters for disease transmission in large-scale infectious disease outbreaks are often obtained to represent large groups of people, providing an average over a potentially very
div... | 4 | [
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... | 32,293 | 32293 | |
Math Help
December 17th 2009, 06:43 AM #1
Fourier-serie
Calculate :
$\begin{array}{l}<br /> P = \frac{\pi }{8}\left( {\frac{{\sin (x)}}{{1^3 }} + \frac{{\sin (3x)}}{{3^3 }} + \frac{{\sin (5x)}}{{5^3 }} + .......} \right) \\ <br /> Q = \frac{\pi }{6} - \left( {\
frac{{\cos (2x)}}{{1^2 }} + \frac{{\cos (4x... | 4 | [
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-0.0103759765625,
-0.06201171875,
-0.033447265625,
-... | 32,294 | 32294 | |
Math Help
November 24th 2013, 04:45 AM #1
Member
Joined
Nov 2013
From
Australia
Posts
187
Thanks
38
mod 7
find the smallest positive integer b which satisfies 3^56=b(mod7)
I am very new to modular arithmetic and I stubbled upon this question.
Wouldn't 'b' have a specific solution.
A... | 4 | [
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-0.0947265625,
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... | 32,295 | 32295 | |
A Direct Marketing In-flight Forecasting System
Shannon Terry & Ben Ogorek
Nationwide Insurance
Contact us: terrys@nationwide.com, ogorekb@nationwide.com
Summary
R's powerful built-in functions and ease of web-based deployment led to its role in the In-flight Forecasting System, a browser-based utility designed to f... | 5 | [
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0.0179443359375,
-0... | 32,296 | 32296 | |
the encyclopedic entry of bragg ref lection
In
physics
,
Bragg's law
is the result of experiments into the
diffraction
of
X-rays
or
neutrons
off
crystal
surfaces at certain angles, derived by physicist
Sir William Lawrence Bragg
in 1912 and first presented on
1912-11-11
to the
Cambridge Philosophical S... | 4 | [
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-0.0688... | 32,297 | 32297 | |
Finding the median of a data set
June 12th 2011, 08:13 PM
dannyc
Finding the median of a data set
A data set has 15 elements. The 15 elements in a second data set are obtained by multiplying each element in the first data set by 10. The 15 elements in a third data set are obtained by
decreasing each element ... | 4 | [
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0.0089721679... | 32,298 | 32298 | |
Homework Help
Posted by Shannon on Sunday, April 3, 2011 at 3:56pm.
A company wants to bid on an order of 20,000 square based boxes which hold 5 cubic feet. The cardboard cost is $.15 per square foot. The boxes must be reinforced with an extra layer of cheaper
cardboard on the bottom ($.12 per square foot). The box is... | 4 | [
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