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VERY HARD! Reduction Formula Question
February 21st 2009, 08:08 AM #1
Junior Member
Joined
Feb 2008
Posts
64
VERY HARD! Reduction Formula Question
The question is as follows:
Given that $I_{n} = \int_0^\frac{\pi}{2} \sin^n (x) dx$ where $n \epsilon N$ (used capital N to show the sign for natural num... | 5 | [
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0.0556... | 41,200 | 41200 | |
Is there an infinite number of combinatorial designs with $r=\lambda^{2}$
up vote 4 down vote favorite
A quick look at Ed Spence's page reveals two such examples: (7,3,3) and (16,6,3).
If there is a known classification and/or name by which such designs go, I'd love to know about them too.
EDIT: I am specifically in... | 5 | [
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(Good) effective version of Kronecker's theorem?
up vote 9 down vote favorite
3
Thm (Kronecker).- If all conjugates of an algebraic integer lie on the unit circle, then the integer is a root of unity.
Question: Can one provide a good effective version of this? That is: given that we have an algebraic integer alpha of... | 5 | [
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0.00460815... | 41,202 | 41202 | |
Isomorphic rings of functions
up vote 5 down vote favorite
Let $X$ and $Y$ be two topological spaces with $C(X) \cong C(Y)$ (where $C(X)$ is the ring of all continuous real valued functions on $X$). I know that we can not conclude that $X$ and $Y$ are
homeomorphic. But I wonder how independent $X$ and $Y$ could be ? F... | 4 | [
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CHEMTUTOR NUMBERS
NUMBERS AND MATH OPERATIONS
Measured numbers or exact numbers.
Scientific notation.
Significance and rounding.
Dimensional analysis.
Problem solving techniques.
The temperature box.
Overview of pH. (In acid-base sec... | 4 | [
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0.04... | 41,204 | 41204 | |
lec-2_3time_complexity
Program Efficiency
&
Complexity Analysis
Lecture-2
Algorithm Review
An algorithm is a definite procedure for
solving a problem in finite number of steps
Algorithm is a well defined computational
procedure that takes some value (s) as
input... | 5 | [
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0.... | 41,205 | 41205 | |
perpendicular passing through a point
the problem is:
Perpendicuar to y= -5/7x passing through (6/5,0)
I know that to be perp it has to be opp/co so itll be 7/5x but i dont know what to do next at all.
The answer says: y= 7/5x - 6/5
I have no idea how to get there
Re: perpendicular passing thr... | 4 | [
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Family of Functions!!
March 27th 2008, 04:20 PM #1
Member
Joined
Nov 2007
Posts
112
Family of Functions!!
Find a formula for the following function.
A cubic polynomial with a local maximum at x = 7, a local minimum at x = 9, a y-intercept of 4, and an x^3 term whose coefficient is 1.
from the gi... | 4 | [
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Math Forum Discussions
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Topic: Is this well known?
Replies: 7 Last Post: Jul 26, ... | 5 | [
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Generalised linking numbers (where they shouldn't be)
up vote 4 down vote favorite
1
One can define the linking number of disjointly embedded curves $K,L\subset S^{3}$ in a variety of ways, as is discussed in Chapter 5.D of Rolfsen's "Knots and Links". One way is the Gauss Integral
$$\mathrm{lk}(K,L) = \frac{1}{4\pi}\... | 4 | [
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... | 41,209 | 41209 | |
tangents and circles
January 13th 2008, 02:36 AM
Coach
tangents and circles
Dear forum members,
could someone please help me with this?
Find the distance of the point P(the intersection of the tangents) from the centre of the smaller circle.
The radius of the larger circle is 5, and the radius of ... | 4 | [
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Implementing Uniform Trigonometric Spline Curves
Bob is a programmer/analyst for Computer Sciences Corp. and an independent animator. He can be contacted at rkauffma@ slb.isd.csc.com.
Splines let you create smooth curves simply by specifying a few points. The precise shape of the curve is determined by a set of "basis... | 4 | [
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Ring structrures on R^n
up vote 4 down vote favorite
Consider a commutative ring $A= ( \mathbb{R}^n , + , \times) $, where $+$ is the usual one. Assume further that $ \times $ is continuous (with respect to the usual topology). Let $H$ be the set of
non invertible elements of this ring.
For $k \geq 0$, what is th... | 5 | [
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Solving by substitution, elimaination and graphing method
November 11th 2012, 09:49 AM
derek1008
Solving by substitution, elimaination and graphing method
How do I solve the equations x squared - y squared=1
2x squared - y squared= x+3 using substitution, elimination and graphing method?
November 11th 2012,... | 4 | [
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etale cohomology of an abelian variety and its dual
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $A$ an abelian variety over a field $k$ and $A^{*}$ the dual abelian variety.
How can ... | 4 | [
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Complemented subspaces of $\ell_p(I)$ for uncountable $I$
up vote 0 down vote favorite
I was looking for an article mimicing result of Pelczynski for $\ell_p$. I have found this one
Rodriguez-Salinas, B. (1994). On the Complemented Subspaces of $c_0(I)$ and $\ell_p(I)$ for $1 < p < \infty$, Atti Sem. Mat. Fis. Univ. ... | 4 | [
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... | 41,215 | 41215 | |
Linear algebra plane span
September 15th 2008, 04:41 PM #1
Member
Joined
Oct 2007
Posts
209
Linear algebra plane span
Let $a_1= \begin{bmatrix} 1 \\ 4 \\ -2 \end{bmatrix}, a_2= \begin{bmatrix} -2 \\ -3 \\ 7 \end{bmatrix}$ and $b= \begin{bmatrix} 4 \\ 1 \\ h \end{bmatrix}$. For what value(s) of h is b in ... | 4 | [
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Fast computation of multiplicative inverse modulo q
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Given a large number $q$ (say, a prime) and a number $a$ between 2 and $q-1$ what is the fastest algorithm known for compu... | 5 | [
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Sum of Quadratic Residues
Date: 07/22/99 at 09:42:27
From: Einar Andresen
Subject: Number Theory / Sum of quadratic residues
Dear Dr. Math,
Maybe this is a bit to advanced - I'll try anyway.
I'm an ex-mathematician trying to refresh my maths on my own. Now I've
read Niven - Zuckerman - Montgomery, _Introduction to... | 4 | [
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0.064... | 41,218 | 41218 | |
Hyperbolic functions
January 7th 2009, 04:58 PM #1
Member
Joined
Nov 2008
Posts
103
Hyperbolic functions
From the definition of sinhx and coshx, in terms of exponentials show that,
sinhx+sinhy=2sinh((x+y)/2).cosh((x-y)/2)
Can anyone help explain how to solve this? Cheers.
$sinh(x) = \frac{... | 4 | [
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More Properties of Continuous Functions
May 5th 2009, 04:02 PM
bearej50
More Properties of Continuous Functions
Suppose f : [a, b] → R is continuous and that f([a, b]) is a subset of Q. Prove that f is constant on [a, b].
May 5th 2009, 04:28 PM
Gamma
You are gonna want to use the fact that a continuous im... | 4 | [
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Lebesgue dimension of closures satisfying the Z-set condition
up vote 4 down vote favorite
Given any subspace $A\subset X$ of a topological space with Lebesgue dimension $\le N$.
Let $\bar{A}$ denote the closure of $A$. Assume, that the pair $(\bar{A},A)$ satisfies the Z-set condition, i.e. there is a homotopy $H:\ba... | 5 | [
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... | 41,221 | 41221 | |
Melting snowball at rate proportional to surface area?
July 14th 2010, 01:47 AM #1
Newbie
Joined
Jul 2010
Posts
10
Melting snowball at rate proportional to surface area?
Half of a snowball melts in an hour, how long will it take for the rest to melt? assuming that it remains spherical and that its volume... | 5 | [
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P norm and essential supremum
August 25th 2007, 03:38 AM
mazaheri
P norm and essential supremum
If ||f ||p= {òx |f|p dm}1/p is p norm of measurable complex function
' f ' , m denoting
the measure on set X ,what is the relationship between lim|| f ||p (p®¥) (if exists)
and || f ||¥ the essential supr... | 5 | [
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Closed form for recurrence function
September 29th 2011, 04:28 PM
adlai
Closed form for recurrence function
I'm trying to figure out how many of the $x^L$ strings from an alphabet of $x$ characters, say $\left\{{a, b, c, d}\right\}$, do NOT contain a particular substring $s$ which itself contains no
overlapp... | 5 | [
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Placement Papers
Pattern
There Were 3 Rounds Conducted By Capgemini
· Written Test
· Group Discussion
· Technical & HR Interview
Part-1
Written Test Was Conducted By Merit Track People
It Consisted Of Sections
· Quantitative Aptitude
· Verbal Reasoning
· Logical Reasoning
Aptitude 2011 Capgemini Placement Pa... | 4 | [
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0.03125,
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0.01104736328125,
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-0.004... | 41,225 | 41225 | |
ecipe
Instead of a truly random number, you wish to randomly select a value from a set in which some values are more likely than others. For example, you may wish to simulate a normal distribution (i.e., a
"bell curve") for a set of data.
We will give a recipe for generating numbers with a normal distribution (aka Gau... | 4 | [
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Solving Quadratics with Imaginary Roots
Date: 05/28/98 at 22:53:07
From: Renier Fernandez
Subject: Algebra
Hi,
I go to home school and I am stuck on this problem:
3x^2 + 2x + 5 = 0
The question is, how do you solve it?
Thank you,
Renier
Date: 06/09/98 at 16:51:04
From: Doctor Peterson
Subject: Re: Algebra
... | 4 | [
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0.026611328125,
0.01324462890625,
0.0... | 41,227 | 41227 | |
Googolplex: Sheets of Paper
Date: 11/18/97 at 00:02:53
From: Eich
Subject: Googolplex
Can you tell me how many sheets of paper it will take to make a
googolplex if you can have 20,000 zeros on each page?
Thanks.
Date: 11/18/97 at 12:11:47
From: Doctor Rob
Subject: Re: Googolplex
Since a googolplex is N = 10^(10^... | 4 | [
-0.07275390625,
0.03125,
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0.0224609375,
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0.021728515625,
0.048828125,
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0.07421875,
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0.023193359375,
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-0.00762939453125,
... | 41,228 | 41228 | |
Embedding of $\ell_p$ into infinite direct sums
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $p\in (1,\infty)$ and let $q$ be conjugate to $p$. Is there a subspace of $\ell_1(\ell_p)$ isomorphic to $\ell_q$? Of co... | 5 | [
-0.09619140625,
-0.055908203125,
0.031494140625,
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-0.015869140625,
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-0.051513671875,
-0.02661132812... | 41,229 | 41229 | |
How to estimate the growth of the probability that $G(n, M)$ contains a $k$-clique
up vote 5 down vote favorite
2
Let $k\geq 3$ be a fixed positive integer. Define
$t_k(M)=\Pr[G(n, M) \text{contains a}\ k-\text{clique}]$, where $G(n, M)$ is the random graph uniformly distributed on all $n$-vertex graphs with $m$-edge... | 4 | [
0.040283203125,
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0.0003871917724609375,
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-0.033935546875,
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-0.06494140625,
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0.016845703125,
0.1494140625,
-0.... | 41,230 | 41230 | |
Recursive formula to a power series
October 23rd 2009, 02:17 PM #1
Junior Member
Joined
Sep 2009
Posts
26
Recursive formula to a power series
sum ((-1)^(k+1)*x^k)/((k+2)!*3^(2*k)) from k =0 to infinity
sum ((-1)\^{}(k+1)*x\^{}k)/((k+2)!*3\^{}(2*k)) from k =0 to infinity is the series (with my attempt... | 4 | [
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... | 41,231 | 41231 | |
Another Kinematics problem
January 19th 2009, 07:48 AM #1
Senior Member
Joined
Jul 2007
Posts
290
Another Kinematics problem
A rocket is launched straight up with constant acceleration. Four seconds after liftoff, a bolt falls off the side of the rocket. The bolt hits the ground 6.60
What is the roc... | 4 | [
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0.004180908203125,
0.056884765625,
-0.07373046875,
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0.0400390625,
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0.07666015625,
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0.061... | 41,232 | 41232 | |
something to do with derivatives?
October 22nd 2007, 08:11 PM #1
something to do with derivatives?
Can someone please help me out with this problem? I don't even know how to approach it. Thankyou
The graph of the tilted ellipse x^2 - x*y + y^2 = 3 is shown above. What are the dimensions and the location of ... | 4 | [
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... | 41,233 | 41233 | |
Displacement
We have the liberty to describe displacement vector as an independent vector ( AB) or in terms of position vectors ( r 1 r 1 and r 2 r 2 ). The choice depends on the problem in hand. The description,
however, is equivalent.
Let us consider that a point object moves from point A (represented by position ve... | 4 | [
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0.019287109375,
-0.0458984375,
0.012329101562... | 41,234 | 41234 | |
Difference between parallel transport and derivative of the exponential map
up vote 2 down vote favorite
2
This is a crosspost from math.stackexchange
Given a Riemannian manifold $M$, let $c(t) = \exp_p(tX)$ be the geodesic emanating from $p \in M$ with initial value $X$. Let $t_0$ be small enough, then we have to wa... | 4 | [
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0.0272216796875,
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0.05712890625... | 41,235 | 41235 | |
How to construct a proof for 0x1 = 0
May 21st 2011, 04:57 PM #1
Junior Member
Joined
Sep 2010
Posts
54
How to construct a proof for 0x1 = 0
i want to construct a proof for 0 x 1 = 0 in first order system.
i know i need to prove first 0x1 = ((0x0)+0) and (((0x0)+0)=(0x0) but how?
can you show me... | 5 | [
-0.036376953125,
0.0380859375,
0.0191650390625,
-0.01904296875,
-0.0159912109375,
0.01275634765625,
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0.0322265625,
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0.041259765625,
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0.06298828125,
0.03564453125,
-0.0498046875,
0.013427734375,
-0.0181884765625,
0.061... | 41,236 | 41236 | |
How to show a certain determinant is non-zero
up vote 15 down vote favorite
2
For any $n$ distinct points $x_1,x_2 , \ldots , x_n$ on the real line show that the matrix $M$ where $M(i,j) = e^{\lambda_j x_i} $ has non-zero determinant where $\lambda_1 \lt \lambda_2 \lt \ldots \
lt \lambda_n \in \mathbb{R}$ are fixed co... | 5 | [
-0.052978515625,
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0.0172119140625,
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0.0556640625,
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-0.0115966796875,
-0.0206298828125,
-0.01409912109375,
0.01226806640625,
0.041259765... | 41,237 | 41237 | |
one-dimensional (sort of) tilings
up vote 7 down vote favorite
5
Consider the following one-dimensional tiling problem. Each "tile" is a sequence of nonnegative integers. A "region" is also such a sequence. I can shift the "tiles", or reverse them. A tiling is a
set of shifted and/or reversed tiles that add up to the ... | 5 | [
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0.04443359375,
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0.053466796875,
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-0.01190185546875,
0.042236328125,
0.023... | 41,238 | 41238 | |
Challenging slope, point problem I need help with.
November 13th 2013, 04:23 PM #1
Newbie
Joined
Nov 2013
From
Math world
Posts
5
Challenging slope, point problem I need help with.
So just registered, and was hoping you guys and girls could help me this problem. I have never encountered one like it.
... | 4 | [
-0.07177734375,
0.026611328125,
0.0155029296875,
-0.0172119140625,
0.031982421875,
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0.05712890625,
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0.031005859375,
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0.038818359375,
0.0194091796875,
0.1884765625,
-0.0810546875,
-0.02685546875,
... | 41,239 | 41239 | |
Volume 15,
Volume 15, Issue 4, April 1972
•
View Description Hide Description
A numerical method is given for determining the transient flow past a sphere which is impulsively started from rest with constant velocity in a viscous fluid. One of the features of the method is
that the calculation of the ... | 4 | [
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0.0654296875,
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0.0260009765625,
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0.058837890625,
0.051513671875,
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0.01373291015625,
-0.0966796875,
-0.05517578125,
-0.09033203125,
-0.0236816... | 41,240 | 41240 | |
Integer Arithmetic
Consider the two basic arithmetic operations (addition and negation, from which subtraction can be derived easily) and how they would be performed on signed integers using the four representations.
... | 4 | [
0.018798828125,
0.04443359375,
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0.017822265625,
0.023803710937... | 41,241 | 41241 | |
Find the remainder
November 22nd 2009, 01:16 PM #1
Member
Joined
Nov 2009
Posts
79
Find the remainder when dividing 37^(217) by 11.
I already know that the answer to this is 7, I just am not sure why. I'd really appreciate it if someone could show me the steps please. Thanks!
37 = 4 (mod 11)
... | 5 | [
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0.041015625,
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0.0279541015625,
-... | 41,242 | 41242 | |
Integration
I did this exercise but the book answer was =x-e^-x+c. And mine was = -x-e^-x+c. Thanks for ur help.
There is virtualy nothing to show: ] $\int \frac{e^x+1}{e^x}dx$ divide through by the $e^x$ in the denominator to get: $\int \frac{e^x+1}{e^x}dx=\int 1 + \frac{1}{e^x}dx=\int (1+e^{-x}) dx$
Distribute the i... | 5 | [
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-0.037109375,
0.023681640... | 41,243 | 41243 | |
working backwards - cubics
December 16th 2006, 08:13 PM #1
Member
Joined
Sep 2006
Posts
99
working backwards - cubics
Write an equation that has the following roots: 2, -1, 5
Answer key: x^3 - 6x^2 + 3x + 10 = 0
For quadratic equations, I use the sum and product of roots, this is a cubic equati... | 5 | [
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0.061767578125,
0.046875,
0.02880859375,
0.06640625,
-0.006500244140625,
0.024... | 41,244 | 41244 | |
how a continous can be added/subtracted with/by a discrete!?
July 9th 2008, 08:42 AM #1
Newbie
Joined
Jul 2008
Posts
10
hello world! this is my first post to this forum.
please answer to the following seemingly classical probability question, it's urgent for me:
suppose X is a Poisson(1) random ... | 5 | [
-0.003143310546875,
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0.07421875,
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0.002655029296875,
0.0380859375,
-0.... | 41,245 | 41245 | |
Fourier-analytic proof of Sperner
From Polymath1Wiki
Fourier analysis
We identify [2]^n with the power set 2^[n] of [n]. Given any function $f: 2^{[n]} \to {\Bbb R}$, we define the Fourier transform $\hat f: 2^{[n]} \to {\Bbb R}$ by the formula
$\hat f(A) := {\Bbb E}_{X \in 2^{[n]}} (-1)^{|A \cap X|} f(X)$;
we... | 4 | [
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-0.072265625,
-0.06591... | 41,246 | 41246 | |
Defining Properties Arithmetically (part 1): Gödel and Primitive Recursion
When I left off, we'd seen how to take statements written in the logic of the Principia Mathematica, and convert them into numerical form. What we need to see now is how to get meta-mathematical.
We want to be able to write second-order logica... | 4 | [
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0.07568359375,
... | 41,247 | 41247 | |
Given is "model". How many theories may it be a model?
up vote 2 down vote favorite
4
Usually we have axiomatic theory and the we look for model for it - this is book picture. Of course in real math usual one has a "model" that is given structure and looks for proper axiomatizing of
it. SO it is interesting question:
... | 4 | [
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0.00213623046875,
... | 41,248 | 41248 | |
z-Transform Examples
Example 1
Consider the zz-transform given by H(z)=zH(z)=z, as illustrated below.
The corresponding DTFT has magnitude and phase given below.
What could the system HH be doing? It is a perfect all-pass, linear-phase system. But what does this mean?
Suppose h[n]=δ[n-n0]h[n]=δ[n-n0]. Then
H(z)=∑n... | 5 | [
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0.055908203125,
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-0.0023651123046875,
-0.0859375,
-0.036865234375,
-0.0... | 41,249 | 41249 | |
Primitive sequences (true or false questions).
April 13th 2009, 03:33 PM #1
Member
Joined
Jun 2008
Posts
148
Primitive sequences (true or false questions).
Let us call a sequence (a_n) primitive if it has the property that gcd(a_i,a_n) = 1, for all 'i' less than n.
Question: State whether the follow... | 5 | [
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0.0042724609375,
0.01416015625,
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0.10400390625,
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0.0791015625,
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-0.0225830078125,
-0.027587890625,
-0.0302734375,
-0.0... | 41,250 | 41250 | |
Matrix to the Power 10
February 8th 2010, 12:25 PM #1
Junior Member
Joined
Oct 2009
Posts
36
Matrix to the Power 10
I have to calulate A^10.
I have been given A =
(1 2
2 1)
and B =
(1 1
1 -1)
I have calculated that B^-1AB =
(3 0
0 1)
and I don't really understa... | 4 | [
-0.07763671875,
0.022216796875,
-0.059326171875,
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0.10009765625,
-0.0218505859375,
0.0142211914... | 41,251 | 41251 | |
Global max/min.
March 28th 2008, 12:05 PM #1
Member
Joined
Nov 2007
Posts
112
Global max/min.
im having trouble with these two, finding the global max/min, i just dont understand how to do it...
g(t) = t/(t^2+5)
Determine the global extrema of g(t) on the interval 1 ≤ t ≤ 8.
g(t) has a glo... | 5 | [
-0.087890625,
-0.00616455078125,
0.0810546875,
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0.0693359375,
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0.06494140625,
-0.06591796875,
0.0225830078125,
0.0087890625,
-0.0123291... | 41,252 | 41252 | |
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Topic: about the Kronecker-Weber theorem
Replies: 6 Last ... | 4 | [
-0.07373046875,
-0.028076171875,
-0.01904296875,
0.0439453125,
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0.007598876953125,
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0.00927734375,
-0.09375,
0.03125,
0.027587890625,
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0.01165771484375,
0.07568359375,
0.08154296875,
-0.138671875,
0.0081787109375,
-0.1... | 41,253 | 41253 | |
Goodness of Fit Test
August 8th 2008, 01:43 PM #1
Newbie
Joined
Jul 2008
Posts
5
Goodness of Fit Test
One year sales volume of four similar 20-oz. beverages on a college campus is shown. The expected frequency for each beverage is 21, found by 84/4. Using the chi square test for uniform
distributions... | 4 | [
0.07177734375,
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0.053955078125,
0.03125,
0.05126953125,
-0.08154296875,
0.005859375,
-0.1025390625... | 41,254 | 41254 | |
DE Based Job Scheduling in Grid Environments
Ch.Srinivasa Rao^1, , Dr.B.Raveendra Babu^2
^1R.V.R. & J.C. College of Engineering, Guntur, A.P., India
^2VNR Vignana Jyothi Institute of Engineering & Technology, Hyderabad, A.P., India
Abstract
Grid Computing is a computing framework developed to meet the growing comp... | 4 | [
-0.1748046875,
-0.0107421875,
-0.0556640625,
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0.0218505859375,
-0.056396484375,
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0.033203125,
-0.037353515... | 41,255 | 41255 | |
[Discrete math]Help with a relation involving modular arithmatic and set operations
December 9th 2010, 04:14 PM #1
Newbie
Joined
Sep 2009
Posts
15
[Discrete math]Help with a relation involving modular arithmatic and set operations
1. The problem statement, all variables and given/known data
Let R1 a... | 4 | [
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0.0301513671875,
-0.044677734... | 41,256 | 41256 | |
V
R.G.P.V. Bhopal (MP)
B.E. (1st/ 2nd Semester) EXAM JUNE-2010
ENGINEERING GRAPHICS [ BE-105 ]
Time: 3Hrs Max Marks: 100 Min Marks: 35
Note :Answer all questions.Total six questions are to be attempted.There is internal choice within each question.Assume suitable data wherever necessary.
Q.1. Answer any TEN questi... | 4 | [
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0.... | 41,257 | 41257 | |
Proof Involving Orbits
October 6th 2009, 07:16 PM #1
Junior Member
Joined
Sep 2008
From
Indiana
Posts
26
Proof Involving Orbits
I'm given: Let A be a set and let $\sigma \in S_A$. For a fixed $a \in A$, the set
$O_{a,\sigma} =${ $\sigma^n (a)|n \in Z$}
is the orbit of a under $\sigma$.
I... | 5 | [
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0.06298828125,
0.0140380859375... | 41,258 | 41258 | |
Electrostatics is the study of electromagnetic phenomena that occur when there are no moving charges—icharges—i.e., after a static equilibrium has been established. Charges reach their equilibrium
positions rapidly because the electric force is extremely strong. The mathematical methods of electrostatics make it possib... | 5 | [
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How to Solve Imaginary Numbers?
Top
The number which contain iota (i) values are known as imaginary Numbers. In mathematics representation of Imaginary Number is given by symbol 'i'. Let's discuss how to solve imaginary numbers.
Some steps to solve the imaginary numbers are given below:
Step 1: To solve imaginary numb... | 4 | [
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0.0634765625,
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interest formulas
April 22nd 2008, 08:33 AM #1
Newbie
Joined
Apr 2008
Posts
21
interest formulas
I was looking for a strategy for a problem I was working on
A car may be purchased with a 3k downpayment now and 60 month payments of 280. If the interest rate is 12% compounded monthly, what is the pric... | 4 | [
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0.0625,
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0.037841796875,
-0... | 41,261 | 41261 | |
Working with Fractional Powers
May 23rd 2008, 10:20 AM #1
Working with Fractional Powers
Not sure how to solve the last part of this problem. The original equation reads:
$\sqrt{xy^3} (\sqrt{x^5y} - \sqrt{xy^7})$
So then you raise the powers to get some nicer exponents to work which looks like this
... | 4 | [
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0.09130859375,
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-0.0908203125,
0.002273559570312... | 41,262 | 41262 | |
Second order diff. equation. Series solution
Hi there. I have to solve: $y''+xy'-2y=e^x$
I thought I should use a series solution, but I'm not sure if what I'm doing is ok. So, I've considered
$y(x)=\sum_0^{\infty}a_n x^n$
$y'(x)=\sum_1^{\infty}n a_n x^{n-1}$
$y''(x)=\sum_2^{\infty}n(n-1) a_n x^{... | 5 | [
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... | 41,263 | 41263 | |
Volume of Revolution
June 8th 2009, 07:11 AM #1
Junior Member
Joined
Jan 2009
Posts
43
Volume of Revolution
Find the volume of revolution when the area between $y=x^2 + 1$ and $y=x+3$ is rotated about the x-axis.
$(x+3)^2 = x^2 + 6x + 9$
$(x^2+1)^2 = x^4 +2x^2 + 1$
So subtract those and I g... | 5 | [
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... | 41,264 | 41264 | |
Population Problems
May 3rd 2009, 10:27 AM #1
Newbie
Joined
Mar 2009
Posts
7
1.) A recent study of 100 individuals revealed that in the US the mean amount of money spent on gifts for Mother’s Day for a given individual is $38. The population standard deviation is not
known but is estimated to be $12.
... | 5 | [
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Irreducibility of Polynomials - Irresducibilty in R/I{x] and Irreducibility in R{x}
May 19th 2013, 12:51 AM #1
Irreducibility of Polynomials - Irresducibilty in R/I{x] and Irreducibility in R{x}
I am reading Dummit and Foote on Irreducibility in Polynomial Rings. In particular I am studying Proposition 12 in Sect... | 4 | [
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0.0361328... | 41,266 | 41266 | |
Sum and Product of roots ><
April 6th 2008, 05:25 AM #1
Junior Member
Joined
Feb 2008
From
Singapore
Posts
44
Sum and Product of roots ><
Ive got a problem and my maths test is 2mw! gaaaaaa
The roots of the equation X^2 + (P-10)X = 10P are a and a + 4 . Find the possible values of P
a is a... | 4 | [
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showing this is a multiple of 9
May 2nd 2011, 05:14 AM
poirot
showing this is a multiple of 9
show (n-1)^3+n^3+(n+1)^3 is a multiple of 9
I expanded and have got 3n^3+6n so I need to show this is divisible by 9
3n^3+6n=9((1/3)n^3+(2/3)n)) but I can not gurantee the thing in the bracket is an integer
M... | 4 | [
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Does martingale convergence hold for arbitrary time?
up vote 3 down vote favorite
Let $\{\mathcal B_i:i\in I\}$ be a family of $\sigma$-algebras (over the same set $\Omega$) which are totally ordered by inclusion, in the sense that for any $i,j\in I$ either $\mathcal B_i\subset\
mathcal B_j$ or $\mathcal B_j\subset\ma... | 4 | [
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Kolej Matrikulasi Labuan Laman Rasmi
SF017
MATRICULATION DIVISION
MINISTRY OF EDUCATION MALAYSIA
TUTORIAL 7
TOPIC 7: ROTATION... | 4 | [
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Simple Rankine Cycle - Processes with h-s Diagram « Mechteacher.com
Simple Rankine cycle is an ideal vapour cycle. It plays a major role in steam power plants. This cycle is mainly based on the conversion of input heat energy into output power, using turbine. The
working fluid at the inlet repeatedly undergoes change o... | 4 | [
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... | 41,271 | 41271 | |
Dualizing the definition of a free group
up vote 2 down vote favorite
2
In most basic abstract algebra courses, the free group is directly constructed, a process that I find rather unwieldy. An alternate method of characterizing the free group is by means of its
universal property: for any function $f:S\to G$, an arbi... | 4 | [
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0.052490234375... | 41,272 | 41272 | |
How to prove that $e^{zw}$ can not be written as a rational expression in functions in $z$ and in $w$?
up vote 16 down vote favorite
6
Let $K$ be the field of fractions of $\mathbb{C}[[z]]\otimes_{\mathbb{C}}\mathbb{C}[[w]]\subset \mathbb{C}[[z, w]].$ Given a formal power series in $t, f\in \mathbb{C}[[t]],$ is there ... | 5 | [
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-0... | 41,273 | 41273 | |
Roots of a Quadraitc Equation
July 3rd 2013, 10:01 AM #1
Junior Member
Joined
Jun 2013
From
Ireland
Posts
43
Roots of a Quadraitc Equation
Hi,
I would appreciate any help with the following question.
Given that the roots of the equation x² + ax + (a + 2) = 0 differ by two, find the possible ... | 4 | [
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0.06640625,
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-... | 41,274 | 41274 | |
Ratio of Circle Radii that Share tangent lines
October 4th 2010, 05:10 PM
arcanine
Ratio of Circle Radii that Share tangent lines
I don't know how to explain the arrangement, so I've attached an image. Forgive my notation, I'm not used to writing math problems.
The points that are black are known. The point... | 4 | [
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0.014404296875,
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-0.0480957031... | 41,275 | 41275 | |
Numerical examples for doubly reinforced sections
Posts Tagged Numerical examples for doubly reinforced sections
Posted by Benzu JK in Building Construction on September 9, 2012
Numerical example for determining stresses in steel and concrete
In our article series for “Design of Doubly reinforced sections”, we cover... | 5 | [
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Valuation
Aswath Damodaran
Aswath Damodaran 186
First Principles
Invest in projects that yield a return greater than the minimum
acceptable hurdle rate.
... | 5 | [
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Questions Involving Z-Score, Can you please check my answer?
April 21st 2013, 01:33 PM
tdotodot
Questions Involving Z-Score, Can you please check my answer?
1. The lifespan of a certain brand of light bulbs in a photographic machine is normally distributed with a mean of 210 hours and a standard deviation on 50 ... | 4 | [
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0.031982421875,
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Inconsistent and Dependent Systems
Date: 12/07/97 at 22:03:12
From: Adam Shoup
Subject: Systems of equations
Write a second linear equation for y = 2x + 4 that would create an
inconsistent system. Also write a second linear equation that would
create a dependent system.
I have definitions of both, but I don't know ... | 4 | [
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-... | 41,279 | 41279 | |
GRAPH MINING
Graph Mining and Graph Kernels
GRAPH MINING
Karsten Borgwardt and Xifeng Yan
Interdepartmental Bioinformatics Group
Max Planck Institute for Biological Cybernetics
Max Planck Institu... | 4 | [
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0.06884765625,
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0.00732... | 41,280 | 41280 | |
compounding interest
August 25th 2010, 02:30 PM
donnagirl
compounding interest
Mike deposits x dollars in a bank to open an account that earns 10% interest compounded annually. All interest earned is immediately deposited into the account. Exactly two years later Donna
deposits x dollars in the same bank to ... | 4 | [
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... | 41,281 | 41281 | |
Home, Home on the Range
The first week of school I gave this problem and never came back to it:
Find the range of $f(x)=2^{x^2-4x+1}$.
The answer is $\left[\frac{1}{8},\infty \right)$. Here’s why:
First consider the range of the quadratic in the exponent, $h(x)=x^2-4x+1$. It’s a parabola that opens up with its ver... | 4 | [
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... | 41,282 | 41282 | |
Performance Predictors
Explaining the Performance Predictors
The calculator/performance predictor takes a distance and corresponding time as input, and uses them to compute several pieces of information and predict comparable performances for other events.
First, the Purdy points are reported, demonstrating what the... | 4 | [
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0.053955078125,
0.04... | 41,283 | 41283 | |
linear approximation
March 10th 2010, 04:11 PM #1
linear approximation
verify the given linear approximation at a=0, then determine the values of x for which the linear approximation is accurate to within 0.1
$\sqrt{1+x}\approx1+\frac{1}{2}x$
which assuming means
$\sqrt{1+x}-0.1<1+\frac{1}{2}x<\sqrt... | 5 | [
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0.03662109375,
-0.05664062... | 41,284 | 41284 | |
Math Help
December 27th 2008, 03:22 PM #16
Member
Joined
Oct 2008
From
Melbourne
Posts
166
I didn't. Sorry.
Ok I've subbed the e^(x) into the function, and I find that it equals zero. so, can the '2' part be e^(x)? Or is there a proper method to do this? I don't see any examples or theory in my ... | 5 | [
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Ideal spanned by matrix units isomorphic to compact operators
up vote 2 down vote favorite
2
Hello,
Assume we have $(n+1)$ isometries $S_1,...,S_{n+1}$ in the separable Hilbert space $H$ with the properties that $\sum_{i=1}^{n+1}S_iS_i^*=I, S_i^*S_j=0$ (i.e. $S_i$ are the generators of the Cuntz
algebra $O_{n+1}$). I... | 4 | [
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0.00787353515625,
0.0732... | 41,286 | 41286 | |
Algebra
It's been a long time since I did anything like this, but I'll give it a try. I'm confident in the basic approach of the proof, but I feel like there might be something missing between the first and
second step... Let $(x_0,y_0)$ be a limit point of gr(f). $\rightarrow y_0=\lim_{x\rightarrow x_0} f(x)$ $\righta... | 4 | [
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0.052734375,
0.068359375,
0.01177978515625... | 41,287 | 41287 | |
A Sequential Limit
February 15th 2011, 01:20 PM #1
Newbie
Joined
May 2010
Posts
16
A Sequential Limit
Hi all, I was wondering if someone could help me show
$\lim_{n\rightarrow\infty}{2n \choose n}\left(\frac{1}{4}\right)^n=0$
I was able to do some algebra to show that this limit is
$\lim_{... | 5 | [
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-... | 41,288 | 41288 | |
[SOLVED] Limit Problem
May 26th 2008, 12:16 AM #1
Junior Member
Joined
May 2008
Posts
26
[SOLVED] Limit Problem
Hi I was wondering if someone could help me with this limit problem:
Find the lim x->a-, lim x->a+ and lim x->a
for the f(x)=(x^2-16)/(squareroot(x^2-8x+16)) a=4
I've tried to sim... | 4 | [
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-0.... | 41,289 | 41289 | |
Is the componentwise square-root of a positive-definite matrix also pos.-def.?
up vote 4 down vote favorite
Let $A=(a_{ij}) \in \mathbb{R}^{n \times n}$ be a matrix with $a_{ij} = a_{ji} \geq 0$ and $B=(b_{ij})$ with $b_{ij} = \sqrt{a_{ij}}$.
Is $B$ positive-definite whenever $A$ is?
In other words:
$\sum_{1 \leq i... | 5 | [
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Dirichlet Series Question
up vote 1 down vote favorite
Consider $a_n$ a real valued sequence and define $D_{1,1,1}(s)=\sum_{n=1}^\infty \frac{a_n}{n^s}$ which converges in some half plane $\Re s =c.$ Define $D_{r,h,k}(s) = \sum_{n=1}^\infty \frac{e^{2\pi
i \frac{hrn}{k}} a_n}{n^s}.$
Question: Suppose $D_{1,1,1}(s)$ h... | 5 | [
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0.04565... | 41,291 | 41291 | |
Number of Onto Function between two sets?
October 2nd 2010, 02:02 PM #1
Newbie
Joined
Oct 2010
Posts
3
Number of Onto Function between two sets?
I am a beginner here and have recently started learning Discrete math. I dont know how to solve the following question.
Please help.
Q. Let A ={0,1,2,... | 4 | [
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-0... | 41,292 | 41292 | |
Viterbi with finite survivor state memory
In the post on Viterbi decoder and soft input Viterbi decoder, we discussed a convolutional encoding scheme with rate 1/2, constraint length $K=3$ and having generator polynomial $K=3$ and having
generator polynomial $\left[ 7, 5\right]_8$. If the number of uncoded bits is $N$... | 4 | [
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0.043212890625,
-0.005615234375,
0.03... | 41,293 | 41293 | |
ARM VFP Vector Programming, Part 2: Examples
In Part 1, I explained the design philosophy of vector calculations using the ARM Vector Floating Point system. This article will demonstrate the actual practice of using vectors in the ARM VFP.
Enabling and disabling vector banks
The Floating-Point System Configuration R... | 4 | [
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0.0825195312... | 41,294 | 41294 | |
Unit step function
May 18th 2007, 01:19 AM #1
Newbie
Joined
Apr 2007
Posts
9
Unit step function
Q1)f(t) = { 10e^-t 0<t<1 }
-10^e-t t>1
Express the function in terms of the Heaviside unit step function and hence obtain its Laplace transform.
Q2) f(t) = 2 [u(t) –u(t – 4)]+ t u(t – 4)
= 2... | 5 | [
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Powers of Primes Dividing Factorials
It's often useful to know the highest power of a given prime p that
divides n! for a given positive integer n. This enables us to
determine the powers of primes dividing multinomial coefficients,
and so on. It turns out that there is a nice formula, apparently
first discussed by ... | 4 | [
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... | 41,296 | 41296 | |
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Topic: crosscorr(x,y) --- strange value!
Replies: 2 Last ... | 5 | [
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Dirichlet series expansion of an analytic function
up vote 7 down vote favorite
3
Let $F(s)=\sum_{n\geq 1}\frac{a_n}{n^s}$ be a Dirichlet series with (finite) abscissa of absolute convergence $\sigma_a$. It can be shown that $\forall \sigma >\sigma_a:$ $$\lim_{T\to\infty}\frac{1}
{2T}\int_{-T}^{T}F(\sigma+ it)n^{it}\m... | 4 | [
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0.0529785156... | 41,298 | 41298 | |
I.C. Engine Cycles
Thermodynamic Analysis
AIR STANDARD CYCLES
1. OTTO CYCLE
OTTO CYCLE
Efficiency is given by 1
1 1
r
Efficiency increases with increase in
compression r... | 5 | [
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