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Math Forum: Ask Dr. Math FAQ: Negative Times a Negative
Minus times minus results in a plus,
The reason for this, we needn't discuss.
- Ogden Nash
Why is a negative times a negative a positive?
People have suggested many ways of picturing what is going on when a negative number is ... | 4 | [
-0.0159912109375,
0.05029296875,
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0.007080078125,
0.05126953125,
0.08056640625,
0.057861328125,
0.0732421875,
-0.0120849609375,
0.0693359375,
0.06201171875,
-0.059326171875,
-0.01275634765625,
-0.004241943359375,
-0.0... | 39,000 | 39000 | |
Substitutions and Models, Part 1: Bolzano, Quine, Tarski, and Boolos
Let ‘$\Rightarrow$‘ stand for a (not-yet analyzed) relation of logical consequence. According to the substitutional analysis of quantification, $\Delta \Rightarrow P$ iff every substitution scheme $\
Delta$ is true under is also one $P$ is true under... | 4 | [
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0.10009765625,
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0.03076171875,
0.007598876953125,
-0.0218505859375,
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0.040283203125,
-0.016357421875,
-0.04516601... | 39,001 | 39001 | |
matrix diagonalisation - real and complex matrices - some observations
January 9th 2011, 04:42 AM #1
Senior Member
Joined
Nov 2010
From
Hong Kong
Posts
255
matrix diagonalisation - real and complex matrices - some observations
I am revising Linear Algebra and trying to put together a rule how to deci... | 4 | [
-0.091796875,
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0.08056640625,
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0.06689453125,
-0.05810546875,
-0.099609375,
0.07666015625,
0.0306396484375... | 39,002 | 39002 | |
What Time Does She Get to Work?
Date: 04/30/2002 at 17:25:59
From: David Williams
Subject: Distance vs. time
Lillian drives to work at an average speed of 45 miles per hour. If
she travels 30 miles to work and leaves at 8:00 A.M., what time does
she get to work?
Please help me - I really don't know what I'm doing.
... | 4 | [
0.05908203125,
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0.0302734375,
0.00138... | 39,003 | 39003 | |
Strange integration by substitution
December 7th 2008, 07:47 AM #1
Newbie
Joined
Sep 2008
Posts
6
Strange integration by substitution
Hi there,
I've been given a question to do as homework, it seems pretty weird to me:
Use the substitution x = 4cosθ to evaluate the following definite integral:... | 5 | [
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0.09716796875,
0.10107421875,
... | 39,004 | 39004 | |
Probability-Stock Price
February 27th 2008, 07:27 PM #1
Member
Joined
Dec 2006
Posts
79
Probability-Stock Price
The price of a stock is governed by a log normal distribution with the expected growth rate μ=.12, volatility, σ=.2. The initial price is $75.
I have already calcuated:
E(stock price ... | 4 | [
0.052978515625,
0.010009765625,
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-0.111328125,
0.035888671875,
-0.... | 39,005 | 39005 | |
Can an ellipsoid be moved freely inside another ellipsoid?
up vote 3 down vote favorite
An origin centric ellipsoid is defined by any positive semi-definite $n$ by $n$ matrix $X$, by taking all vectors $v$ such that $v^tXv\leq1$. Call two origin centric ellipsoid equivalent if one can
be obtained from the other by rot... | 5 | [
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-0.07080078125,
0.0517578125,
0.0252685546875,
-0.03857421875,
0.08935546... | 39,006 | 39006 | |
integrals of nonpositive functions
show that if "f" is integrable then f(x) < or equal to 0 on [a,b]
sorry that is what i meant to write. can you show me why that is true?
I am not sure what that implies. In most basic calculus textbooks there is a theorem that states: If $\left( {\forall x \in \left[ {a,b} \right]} ... | 4 | [
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0.1142578125,
0.041015... | 39,007 | 39007 | |
Formulas Regarding Radio Waves
Date: 11/17/2004 at 21:52:42
From: Fred Cain
Subject: High frequency radio antennas
Why does part of the equation to find the resonant frequency have the
notation of 2 times pi times the square root of the L times C, the
answer of which is divided into 1? There are several formulas tha... | 4 | [
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0.040283203125,
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-0.046142578125,
-0.051... | 39,008 | 39008 | |
Points at twice the distance from (-1, 0) that they are from (1, 0) in hyperbolic geometry
up vote 1 down vote favorite
In answer to the question Demystifying complex numbers, Charles Matthews suggests "finding the points at twice the distance from (-1, 0) that they are from (1, 0)." as a motivation for complex
number... | 5 | [
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0.0297... | 39,009 | 39009 | |
\theta''+\lambda\theta=0
Let $\theta(x,\lambda)$ be the solution of
$\theta''+\lambda\theta=0$
$\theta(0)=1$
$\theta'(0)=0$
Use Green's formula to evaluate
$\displaystyle\int_0^L\theta^2(x,\lambda) \ dx$
and by specializing the result evaluate
$\displaystyle\int_0^L\cos^2\left(\frac... | 4 | [
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0.033447265625,
-0.04833984375,
-0.0361328... | 39,010 | 39010 | |
Probablitity Proof: Let R=(1,2,...,n) be a set with n elements ....
June 21st 2010, 06:00 AM #1
Newbie
Joined
Jun 2010
Posts
12
Probablitity Proof: Let R=(1,2,...,n) be a set with n elements ....
Let R=(1,2,...,n) be a set with n elements. Let S be a set of all subsets. There are 2^n such subsets. Pick 2... | 5 | [
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0.059326171875,
-0.07... | 39,011 | 39011 | |
group of invertible elements
November 8th 2012, 02:31 AM #1
Newbie
Joined
Nov 2012
From
London
Posts
7
group of invertible elements
Hello!
Could anybody help me with the following problem?
Let K be a finite field and denote the (multipl.) group of invertible elements of K with K^*. We set G... | 5 | [
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0... | 39,012 | 39012 | |
Embeddings of finite classical groups
up vote 3 down vote favorite
1
Let $q$ denote a prime power and $\text{GL}_n(q)$ and $\text{U}_n(q^2)$ the general linear and unitary group, respectively. Then $\text{U}_n(q^2)$ is naturally a subgroup of $\text{GL}_{n}(q^2)$, so
one kind of groups can be embedded into the other. ... | 4 | [
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0.0301513... | 39,013 | 39013 | |
discrete math
June 19th 2007, 09:13 AM #1
Member
Joined
Jun 2007
Posts
77
discrete math
Let I(x) be the statement "x has an Internet connection" and C(x, y) be the statement " x and y have chatted over the Internet," where the domain for the variables x and y consists of all
students in your class. U... | 4 | [
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0.07470703125,
-0.03125,
-0.03515625,
-0.... | 39,014 | 39014 | |
Using the definition of derivative...
March 17th 2010, 05:09 PM #1
Member
Joined
Dec 2009
Posts
96
Using the definition of derivative...
This is going to be an easy one
but I have to solve the square root of (2x+1) using the definition of limit.
I set the problem up f(x) lim h-> 0 sq root (2x +... | 4 | [
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... | 39,015 | 39015 | |
Five Front Battle
up vote 22 down vote favorite
7
Two generals are fighting a five front battle. Each general has 1 unit of army, which he divides into five separate armies that he sends to the five fronts. If one general sends more army to a front
than the other, then the other army instantly gives up and the front i... | 5 | [
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0.008850... | 39,016 | 39016 | |
Interesting Problem
July 11th 2006, 02:15 AM #1
Junior Member
Joined
Jun 2006
Posts
73
Interesting Problem
The unit square ABCD where A(1,0), B(1,1), C(2,1), D(2,0)
i) A line, l , passing through the origin with gradient m, cuts the sides AB and CD at P and Q respectively
is the answer to this p... | 4 | [
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-0.0... | 39,017 | 39017 | |
Quotients of Abelian Groups
up vote 0 down vote favorite
Let $G$ be an abelian group and let $A$ and $B$ be subgroups of $G$. Furthermore, let $C$ be a subgroup of $A \cap B$. I would like to find another subgroup $A+B \subseteq D \subseteq G$ so that $D/
(A+B) \cong (A \cap B)/C$. In general I'm not sure this is poss... | 5 | [
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0.004150390625,
0.0184326171875,
0.0673828125... | 39,018 | 39018 | |
Generic Arithmetic Operations
Next: Combining Data of Different Up: Systems with Generic Operations Previous: Systems with Generic Operations
Generic Arithmetic Operations
The task of designing generic arithmetic operations is analogous to that of designing the generic complex-number operations. We would like,... | 4 | [
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0.03955078125,
0.017822265625,
0.0026092529296875,
... | 39,019 | 39019 | |
Finding the diameter of the circle
February 5th 2011, 10:19 AM #1
Senior Member
Joined
Apr 2006
Posts
290
Finding the diameter of the circle
Write I have been given this problem which I simply cannot do? Any helpers please...
Here we go:
A, B and L are points on a circle, centre O
AB is a c... | 4 | [
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0.09765625,
-0.0556640625,
0... | 39,020 | 39020 | |
Does the Bertini Theorem imply that there exists $k$ points such that passing through them imposes linearly independent conditions?
up vote 2 down vote favorite
1
Consider the space of all homogeneous degree $d$ polynomials in three variables $[X,Y,Z]$, i.e. $$ f[X,Y,Z] = f_{d00} X^d + f_{d10} X^{d-1}Y + \ldots .$$ Th... | 4 | [
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-0.09228515625,
0.... | 39,021 | 39021 | |
PHYS771 Lecture 10: Quantum Computing
Quantum Computing
Alright, so now we've got this beautiful theory of quantum mechanics, and the possibly-even-more-beautiful theory of computational complexity. Clearly, with two theories this beautiful, you can't
just let them stay single -- you have to set them up, see if they ... | 4 | [
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... | 39,022 | 39022 | |
Counting onto functions
How many onto functions are there from A to B, if |A| = 10 and |B| = 4?
Let $f:A\to B$ be onto. Then some element of A has to go to the first element of B, and there are 10 possibilities for that. Some other element has to go to the second element of B, so 9
possibilities there, and so on. So t... | 5 | [
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-... | 39,023 | 39023 | |
Electromagnetic wave equation
June 8th 2007, 09:34 AM
totalnewbie
Electromagnetic wave equation
First of all I have to say that translating specific words from native language to english, is not easy. So I hope that you realize what is going on:
What did I do wrong ?
(Traveling waves from: Wave - Wikip... | 4 | [
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0.09375,
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-0.0859375,
-0.054... | 39,024 | 39024 | |
Quick implicit differentiation question
March 2nd 2011, 04:45 PM #1
Newbie
Joined
Feb 2011
Posts
21
Quick implicit differentiation question
The problem is stated as follows:
---
Show that the equation $zx^2y^3 + (x+y)e^{z-x}-x^2-x-4y=-3$ defines z as a function of x and y near (1,1,1). Also sho... | 5 | [
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0.042724609375,
-0.07568359375,
-0.0468... | 39,025 | 39025 | |
Collapsing of exptime and alternation bounded turing machine
up vote 6 down vote favorite
2
Hello
Let C be a set of function (let say time-computable increasing function to avoid pathological cases). Let's call $\rm{ATIME}(C,j)$ the class of langages decided by a Turing Machine begining in
existantial state, altern... | 5 | [
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0.020263671875,
-0.021606445312... | 39,026 | 39026 | |
Unit Normal Vector to non-parametrized curve
February 25th 2009, 05:29 AM #1
Newbie
Joined
Feb 2009
Posts
2
Unit Normal Vector to non-parametrized curve
I got a curve, that is non parametrized and I need to find principal unit normal vector to that curve at certain point
in my case it is y=e^x at po... | 5 | [
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-0.0... | 39,027 | 39027 | |
Help with integral with upper/lower limts
August 26th 2006, 09:35 AM #1
Junior Member
Joined
Aug 2006
Posts
30
Help with integral with upper/lower limts
Q. Evaluate $\int \frac{6}{x^2}dx$
A. $\int \frac{6}{x^2}dx=-\frac{6}{x}=???$
The evaluation equation has an upper limit of 3 and a lower lim... | 5 | [
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0.0341796875,
0.035888... | 39,028 | 39028 | |
An Erdős-Szekeres-type question
up vote 13 down vote favorite
5
Does there exist an integer $N$ such that every set of $\geq N$ points in $\mathbb R^4$ contains six distinct points which are vertices of two intersecting triangles?
More generally, given dimensions $d_1,\dots,d_k$ such that generic affine subspaces of ... | 5 | [
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0.0294189453125,
-0.... | 39,029 | 39029 | |
Math Forum Discussions
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Topic: control system
Replies: 5 Last Post: Sep 11, 2013 ... | 5 | [
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... | 39,030 | 39030 | |
Math Forum Discussions - Re: determinant calculation of integer matrices
Date: Apr 5, 2013 10:50 AM
Author: Steven Lord
Subject: Re: determinant calculation of integer matrices
"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message
news:kjklfi$il6$1@newscl01ah.mathworks.com...
> Someone asks me off line why d... | 5 | [
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population growth question using a symetric difference quotient
July 28th 2010, 08:05 AM
bemidjibasser
population growth question using a symetric difference quotient
If the symetric difference quotient is given as: (P'(t)= P(t+10)-P(t-10)/20)
Given the info below, how would I compute this equation? I am a l... | 4 | [
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0.03857421... | 39,032 | 39032 | |
Simultaneously computing a complete elliptic integral and its complement
up vote 5 down vote favorite
3
The complete elliptic integral of the first kind
$K(m)=\int_0^{\pi/2}\frac{\mathrm{d}t}{\sqrt{1-m\sin^2t}}$
is easily computed via the arithmetic-geometric mean iteration; to wit,
$K(m)=\frac{\pi}{2M(1,\sqrt{1-m}... | 5 | [
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... | 39,033 | 39033 | |
Find the area of the region bounded by y and the x-axis
Yes. I would write: $A=\int_1^9 u^{\frac{1}{2}}\,du=\frac{2}{3}\left[u^{\frac{3}{2}} \right]_1^9=\frac{2}{3}(27-1)=\frac{52}{3}$ edit: Don't forget the differential in your definite integral and
avoid using a rounded decimal approximation (at least if you have the... | 4 | [
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Numerical solution of differential equations (Euler method)
October 27th 2008, 02:09 PM #1
Newbie
Joined
May 2008
Posts
11
Numerical solution of differential equations (Euler method)
Hello. I'm having problems with solving a pretty straight forward differential equation by using Euler's method.
Exer... | 5 | [
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characterization of trees in terms of products of transpositions
up vote 4 down vote favorite
2
Suppose a simple graph has $n$ vertices and $m$ edges. If the vertices are labelled, then each edge then corresponds to a transposition in a natural way. A theorem in Godsil and Royle's Algebraic
Graph Theory, section 3.10,... | 5 | [
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[SOLVED] Find the degree of the angles
September 25th 2008, 10:27 PM
fabxx
[SOLVED] Find the degree of the angles
In the figure below, what is the sum, in terms of n, of the degree measure of the four angles marked with question marks (?)
a) n
b)2n
c) 180-n
d) 360-n
e)360-2n
- - - - -61... | 4 | [
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... | 39,037 | 39037 | |
Spin structures on the Grassmannians
up vote 4 down vote favorite
6
I am trying to understand spin structures and am looking at the specific case of complex projective space (viewed as the quotient $SU(N)/U(N-1)$) and more generally the Grassmannians (viewed as the
quotient $SU(N)/(U(N-k) \times U(k))$. My questions a... | 5 | [
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0.0155029296875,
-0.0291748046875,
-0.0209960... | 39,038 | 39038 | |
The Join of Simplicial Sets ~Finale~
up vote 4 down vote favorite
2
Background
Let $X$ and $S$ be simplicial sets, i.e. presheaves on $\Delta$, the so-called topologist's simplex category, which is the category of finite nonempty ordinals with morphisms given by order
preserving maps.
How can we derive the structure... | 4 | [
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0.0197... | 39,039 | 39039 | |
HW2
CS6140 Machine Learning
HW2
Make sure you check the syllabus for the due date. Please use the notations adopted in class, even if the problem is stated in the book using a different notation.
Make sure to read the notes on Gradient Descent for Regression, and chapter 5 of DHS, up to (including 5.6 Relaxation Pr... | 5 | [
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... | 39,040 | 39040 | |
Topology and holonomy of SU(2)xZ_2
April 29th 2011, 12:54 PM
cduston
Topology and holonomy of SU(2)xZ_2
Hey all,
I am considering (nevermind why...) a gauge theory with symmetry group $G=SU(2)\times\mathbb{Z}_2$, and I want a little help getting all the notions sorted out. I am later going to extend $\
m... | 4 | [
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-0.0390625,
-0.0262451171875,
-0.049316406... | 39,041 | 39041 | |
"Hecke algebra" finitely generated?
up vote 1 down vote favorite
Hi all.
I have some question on Hecke operators and its relations to the Hecke algebra.
(1)
I want to understand why the "Hecke algebra" is finitely generated in some cases. I found a nice result in W.Stein, Modular Forms, a Computational Approach, Th... | 4 | [
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A triple for-loop from our exam...
May 21st 2010, 03:28 AM
jflurrie
A triple for-loop from our exam...
First of all, please move this thread if it is in totally wrong place.
Anyway, I took today in our university an exam in Discrete Mathematics. The question itself was easy and I know the answer too (by cou... | 5 | [
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Top degree local cohomology under action by a non-zerodivisor
up vote 4 down vote favorite
1
Let $R$ be a noetherian commutative ring of dimension $n$, and let $M$ be a faithful finite $R$-module. Let $I$ be a proper ideal of $R$, and let $x\in I$ be a non-zerodivisor on $M$.
When does multiplication by $x$ induce an... | 5 | [
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Problem with vector question
March 6th 2010, 06:29 PM
Paymemoney
Problem with vector question
Hi
Can someone tell me where i have gone wrong in the following question?
Given that v=2i + 2j + k, w = 3i - j + k find a unit vector perpendicular to both v and w.
unit vector = {a x b}/{|a x b|}
| a... | 4 | [
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-0.04174804... | 39,045 | 39045 | |
Hausdorff spaces and convergence
January 4th 2013, 12:57 PM #1
Newbie
Joined
Jan 2013
From
/
Posts
7
Hausdorff spaces and convergence
Hi Everyone,
I'm new here and I'm dealing with some topology questions.
Suppose that (X,T) is a C1 space then the following statements are equivalent:
(1... | 5 | [
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Work integration
February 3rd 2009, 04:20 PM
bottleofboos
Work integration
A force of 13 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work W is done in stretching it from its natural length to 6 in. beyond its natural length?
Using Hooke's Law, f(x)=kx , I set it up li... | 4 | [
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0.03955... | 39,047 | 39047 | |
Decomposing a poset into directed subposets
up vote 3 down vote favorite
Let us say that a poset $P$ is $\mathbf{\kappa}$-directed iff every collection of fewer than $\kappa$-many elements in $P$ has an upper bound in $P$. $P$ has the $\mathbf{\kappa}$ chain condition iff
every antichain in $P$ has size less than $\ka... | 4 | [
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0.00518798828... | 39,048 | 39048 | |
Math Forum Discussions
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Topic: POW Solution, Dec. 13-17
Replies: 0
POW Soluti... | 4 | [
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0.09765625,
-0.0240478515625,
0.0966796875,
-0.007659912109375,
0.0006179809570312... | 39,049 | 39049 | |
Sufficient conditions for gradient descent convergence
up vote 2 down vote favorite
2
I have an unconstrained optimisation problem with convex objective function $f(x)$. Suppose I have access only to some function of the gradient $\hat{\nabla}= g(\nabla f)$, and I take gradient steps
treating $\hat{\nabla}$ as the tru... | 4 | [
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0.00430297851... | 39,050 | 39050 | |
Help with factoring
x^4-6x^2-8x-3 I tried using synthetic division but the graphs of the two were no where close
Hello, xclo0sive! What does synthetic division have to do with graphs? Factor: . $f(x) \:=\:x^4-6x^2-8x-3$ Did you notice that $f(\text{-}1) \:=\:0$ ? . . This means $(x+1)$ is a factor of $f(x).$ $\
text{W... | 4 | [
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... | 39,051 | 39051 | |
fft
REPRESENTATION OF THE LAPLACIAN IN THE
FOURIER DOMAIN
f f 2 2
f 2 2
2
x y
Taking the Fourier transform of this equation, we have:
f exp(2j (ux vy))dx... | 4 | [
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-0.021850585... | 39,052 | 39052 | |
Set manipulation
January 25th 2011, 09:56 AM #1
Set manipulation
Prove that:
$\bigcup Px=x \subset P \bigcup x= P \bigcup P \bigcup x$
where x is a set and $Px$ is the power set of x.
This is the last part of the question, the former parts required me to prove:
$x \subset y \Rightarrow \bigcu... | 4 | [
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0.05078125,
-0.0143432617187... | 39,053 | 39053 | |
Google question: In a country in which people only want boys
up vote 56 down vote favorite
49
Hi all!
Google published recently questions that are asked to candidates on interviews. One of them caused very very hot debates in our company and we're unsure where the truth is. The question is:
In a country in which... | 5 | [
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Weights of restricted modules of some Cartan type Lie algebras
up vote 4 down vote favorite
1
Let $L$ be a simple Lie algebra of Cartan type of absolute toral rank 2 over an algebraically closed field $\mathbb{F}$ of characteristic $p\geq 5$. Denote by $L_{[p]} $ the minimal $p$-envelope of
$L$ and let ${\mathfrak t}... | 5 | [
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0... | 39,055 | 39055 | |
Is there a rigid curve in a product of complex manifolds?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $X=Y\times Z$ be a product of complex manifolds $Y,Z$. Is it true that there exists no rigid curve on $X$? Here I ... | 4 | [
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0.035888671875,
... | 39,056 | 39056 | |
which algebraic integers in a cyclotomic field give you integer absolute value?
up vote 8 down vote favorite
Does anyone know an answer to this question? Question: In an cyclotomic field which algebraic integers have integer absolute value?
Revision 1: -1
I like to add this to the above question, Let's take w to be ... | 4 | [
-0.061767578125,
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0.095703125,
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-0.0055541992187... | 39,057 | 39057 | |
[SOLVED] Implicit Differentiation
October 21st 2008, 09:11 PM #1
Junior Member
Joined
Sep 2008
Posts
28
[SOLVED] Implicit Differentiation
I don't seem to understand how to completely differentiate this equation on both sides (implicit differentiation):
x^3-xy+y^2=4
Am I doing this right:
3... | 4 | [
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0.083984375,
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-0.00225830078125,
0.01263427734375,
0.10546875,
0.04443359375,
-0.068359375,
-0.00... | 39,058 | 39058 | |
Coins in a Square Array
Date: 7/8/96 at 9:6:16
From: Anonymous
Subject: Prove that the butler lied
Dear Dr. Math,
A man says to his butler, "I left some valuable coins on the table
this morning in a square array and now there are only two left." The
butler answers, "Three burglars came in, divided the coins equall... | 4 | [
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0.0400390625,
0.0332031... | 39,059 | 39059 | |
Find the radius
December 30th 2006, 08:51 AM
galactus
Take the origin at a corner of the box with the axes along the edges.
Let r be the radius of a styrofoam sphere and R equal the radius of the bowling ball. The distance from the origin to the center of the bowling ball is equal to the sum of the distance ... | 4 | [
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-0.045166015625,
-0.02368164... | 39,060 | 39060 | |
A calculus question related to quantization dimension
up vote 5 down vote favorite
2
Going through some old papers, I came up with a simple-looking problem I thought about 5 years ago or so.
MO wants motivation ... Associated to a probability measure on a metric space is something called "quantization dimension" ... ... | 5 | [
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0.0235595703125,
-0.0117... | 39,061 | 39061 | |
What is an example of a compact smooth manifold whose K-theory and Cech cohomology are not isomorphic?
up vote 12 down vote favorite
6
On page 283 of Max Karoubi’s book, “K-theory,” he states that for any compact Hausdorff space $X$, the Chern character determines an isomorphism from the group $K^0(X) \otimes Q$ to $H... | 5 | [
-0.0235595703125,
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0.040283203125,
-0.0172119140625,
-0.0810546875,
0.0252... | 39,062 | 39062 | |
solving inhomogenous linear difference equations
March 15th 2011, 11:52 AM
brokenflower66
solving inhomogenous linear difference equations
Solve the following inhomogeneous linear difference equation: Yk+3 + 5Yk+2 - 2Yk+1 - 6Yk = 32k + 6. Use Yk=Ak+b to solve for A and B.
So far I have followed my notes and... | 4 | [
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0.09912109375,
-0.0191650390625,
... | 39,063 | 39063 | |
Adding large sets by countable conditions preserving the GCH
up vote 5 down vote favorite
3
Let $\kappa$ be an inaccessible cardinal. Is there any forcing notion $P$ with the following properties:
1-$P$ preserves GCH and the strong inaccessibility of $\kappa$,
2-$P$ adds a subset of $\kappa$ of size $\kappa$,
3-$P$... | 5 | [
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0.00171661376953125,
-0.0150146484375,
-0.... | 39,064 | 39064 | |
Are rational varieties simply connected?
up vote 15 down vote favorite
7
Is it true that every smooth rational variety X is simply connected? How is the proof? Would it be still true if X has mild (for example orbifold) singularities?
ag.algebraic-geometry at.algebraic-topology
add a comment |
5 Answers
acti... | 5 | [
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0.030517578125,
0.022216796875,
-0.02197265625,
-0.032470703125,
-0.091308593... | 39,065 | 39065 | |
help with statistic problem
November 17th 2010, 10:16 AM
uga75
help with statistic problem
Hi, I'm confused with this problem, wanted to know if im on the right track. Any help will be appreciated . thank you
what is P(high calorie and high fiber)? For this I got (53 and 22)/ 84 = 0.89 = 89%
what is P(... | 4 | [
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0.052001953125,
-0.04223... | 39,066 | 39066 | |
Minimum of Milnor number for the curve singularities of fixed multiplicity
up vote 8 down vote favorite
3
An element $F\in \mathbb{C}[[x,y]]$ defines a germ of plane curve. We assume $F(0,0)=0$. The multiplicity $mult$ of the germ is defined to be a minimal number $i$ such that $F\in m^i$ where $m=(x,y)$
is the maxim... | 5 | [
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0.01458740234375,
0.034912109375,
0.007293701171875,
0.0255126953125,
-0.03881835... | 39,067 | 39067 | |
Turn or go straight? Quick!
This is a classic problem. You are in a car heading straight towards a wall. Should you try to stop or should you try to turn to avoid the wall? Bonus question: what if the wall is not really wide so
you don’t have to turn 90 degrees?
Assumption: Let me assume that I can use the normal mod... | 5 | [
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0.091796875,
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0.028076171875,
0.00402... | 39,068 | 39068 | |
difficulty with calculation of probability of retrigger in slot game
November 26th 2008, 08:56 AM #1
Newbie
Joined
Nov 2008
Posts
2
difficulty with calculation of probability of retrigger in slot game
I would like help figuring out how to calculate the probabilities for the free spins on this slot game.
... | 4 | [
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-0.0234375,
-0.... | 39,069 | 39069 | |
Another identity, brain still not working
October 28th 2006, 06:44 PM #1
Another identity, brain still not working
Ok, I know it seems like I am spunging, but there are thirty of these on this assignement, only stumped on two -- so far. The identity is:
(sin(x) + sin(3x))/(cos(x) + cos(3x) = tan(2x)
The... | 5 | [
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0.02685546875,
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0.0064697265625,
-0.03515625,
... | 39,070 | 39070 | |
Intercepting vectors
September 19th 2008, 11:27 AM
ally79
Intercepting vectors
Rower A is stationary at the point A adjacent to the river bank when he spots an object floating down the river. He estimates that the object is 50m away and heading south at a speed of 3m/s (the
same speed as the current) see dia... | 5 | [
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0.068359375,
-0.078125,
0.063476562... | 39,071 | 39071 | |
In how many ways can we generate a given bipartite multigraph via the bipartite configuration model?
up vote 2 down vote favorite
Suppose I have two multisets, $A=\{a_1,a_2,\ldots,a_n\}$ and $B=\{b_1,b_2,\ldots,b_n\}$. We can construct a (random) bipartite multigraph with the vertex bipartition $\text{set}(A) \cup \te... | 5 | [
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-0.009887695... | 39,072 | 39072 | |
Compound Interest Q Help!
June 10th 2008, 01:06 AM
Kujah
Compound Interest Q Help!
Can you guys help me with this question? I';m so confused on how I should approach it:
Tom’s father paid $500 into an account on the day Tom was born. ?After that, he paid $500 into the account on Tom’s bday until Tom’s 18th b... | 5 | [
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0.024658... | 39,073 | 39073 | |
Finding the probability
May 17th 2009, 01:44 AM #1
Banned
Joined
May 2009
Posts
27
Finding the probability
An Infinit sequence of independent trails is to be performed. Each trail results in a success with probability 'p' and failure '1-p' . What is the probability that
1) at least 1 success occurs ... | 5 | [
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0.07373046875,
-0.03662109375,
-0.0... | 39,074 | 39074 | |
How to define the action of $U(G)$ in this situation?
up vote 0 down vote favorite
1
The usual action of $fg$ on $u⊗v$ , where $f,g$ are elements in the Universal Enveloping Algebra $U(G)$ of a Lie algebra $G$ and $u,v$ are elements of a representation $V$ of $G$, is given by $fg
(u⊗v)=fgu⊗v+fu⊗gv+gu⊗fv+u⊗fgv$, using ... | 5 | [
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-0.1005859375,
0.033447265625,
-0.004791259765625,
0.006988525390625,
0.00607299804687... | 39,075 | 39075 | |
Discount Pricing
January 9th 2007, 03:17 PM
symmetry
Discount Pricing
A car dealer, at a year-end clearance, reduces the list price of last year's models by 15 percent. If a certain four-door model has a discount price of 8000 dollars, find its list price.
Also, how much can be saved by purchasing last year... | 4 | [
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0.03320... | 39,076 | 39076 | |
Cubic equation from 4 coordinates
January 24th 2006, 01:36 AM #1
Junior Member
Joined
Jan 2006
Posts
38
There's this question in my textbook that I can't seem to answer:
A cubic function of the form y=ax^3+bx^2+cx+d passes through the points (0,1) (1,3) (-1,-1), (2,11). Find the values of a,b,c, and ... | 4 | [
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0.0218505859375,
0.010009765625,
0.0145263671875,
-0.042724609375,
-0.027587... | 39,077 | 39077 | |
trig sub
dont you mean that: $<br /> <br />$ $\int\sin\theta\sqrt{1-\sin^2\theta}\,d\theta<br />$ because $<br /> e^x = sin\theta$
ooh my bad, you did some cancelling there i see haha
I got the answer to be: $<br /> sin^{-1} (e^x) - \frac{e^x \sqrt{1-e^{2x}}}{2} + C$ Is this correct?
Close... When you integrate $\tf... | 5 | [
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0.003936767578125,
-0.058837890625,
0.0242919921875,
0.0517578125,
-0.0... | 39,078 | 39078 | |
Checking consistency of a system of linear equations and inequalities
up vote 3 down vote favorite
2
I have a lot of systems of equations and inequalities of the following form:
$$ a_{1,1}x+a_{1,2}y+a_{1,3}z+a_{1,4}w = 2 $$ $$ \ldots $$ $$ 0 < x < 2 $$ $$ 0 < y < 2 $$ $$ 0 < z < 2 $$ $$ 0 < w < 2 $$
There are always... | 4 | [
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0.0133056640625,
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0.00494384765625,
0.00421142578125,
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0.03125,
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0.0174560546875,
-0.048828125,
0.07275390625,
0.0301513671875,
0.00872802734375,... | 39,079 | 39079 | |
Cylindrical shells revolved about the line y=1
September 7th 2008, 04:50 AM #1
Junior Member
Joined
Aug 2008
Posts
35
Use cylindrical shells to find the volume of the solid that is generate when the region that enclosed by $y=x^3$, $y=1$, $x=0$ is revolved about the line $y=1$
As it said "cylindrical... | 4 | [
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0.00848388671875,
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0.035888671875,
0.05224609375,
-0.006134033203125,
... | 39,080 | 39080 | |
Complex number equation
Hello can you please help me to solve this equation. $z^3+8=0$
An alternative... \displaystyle \begin{align*} z^3 + 8 &= 0 \\ z^3 &= -8 \\ z^3 &= 8e^{i\pi} \\ z &= \left(8e^{i\pi}\right)^{\frac{1}{3}} \\ z &= 2e^{\frac{i\pi}{3}} \end{align*} Since this is a
cubic, there are three solutions, all... | 5 | [
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0.09814453125,
-0.044921875,
-0.061767578125,
0.00860595703125,
-0... | 39,081 | 39081 | |
Supersymmetry: transformations of superspace
In a November 2011 article, I discussed
the Grassmann anticommuting numbers
that satisfy
\[ \theta_1 \theta_2 = -\theta_2 \theta_1 \] My goal was to convince you that this new kind of abstract numbers is, in some sense, equally natural if it is employed as the basic numbe... | 4 | [
-0.138671875,
-0.0947265625,
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0.005035400390625,
0.0224609375,
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0.033203125,
-0.01904296875,
0.0289306640625,
-0.00787353515625,
0.01672363281... | 39,082 | 39082 | |
Angle with geometric vectors
February 24th 2011, 12:14 PM #1
Member
Joined
Sep 2009
Posts
162
Angle with geometric vectors
How do I get the bearing from a geometric vector? For example, the question below I have no idea how to get it.
16. A plane flies on a heading of 120^o at a constant speed of 55... | 5 | [
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does it defines inner product..
October 1st 2009, 02:37 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
does it defines inner product..
C[0,2]\\
f:[0,2]->c\\
$<f,g>=f(0)\overline{g(0)}+f(1)\overline{g(1)}+f(2) \overline{g(2)}$
i dont know how to solve the complement.
i tried to prove t... | 4 | [
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Why does the Riemann zeta function have non-trivial zeros?
up vote 72 down vote favorite
33
This is a very basic question of course, and exposes my serious ignorance of analytic number theory, but what I am looking for is a good intuitive explanation rather than a formal proof (though a
sufficiently short formal proof... | 4 | [
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Conditional Probability
Associated Topics || Dr. Math Home || Search Dr. Math
Conditional Probability
Date: 05/25... | 4 | [
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Even least squares approximation
up vote 0 down vote favorite
Let's consider $\theta_n$ a class of approximations with the following properties:
- all functions $\phi \in \theta_n$ are defined on a symmetric interval [-a, a];
- if $\phi(t)\in\theta_n$, then $\phi(-t)\in\theta_n$;
Consider $d\lambda t=\omega(t) \; dt$,... | 5 | [
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Math Help
October 5th 2008, 09:23 PM #1
Junior Member
Joined
Sep 2008
Posts
27
Perimeter
How would I solve this?
"The perimeter of a rectangle is 40 cm. If the length were doubled and the width halved, the perimeter would be increased by 16cm. Find the dimensions of the original rectangle."
Le... | 4 | [
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-... | 39,088 | 39088 | |
Vector orthogonality, orthonormal basis and subspace
September 25th 2011, 09:47 AM #1
Vector orthogonality, orthonormal basis and subspace
If a vector $v$ is orthogonal to orthonormal basis of a vector space $W$ then why is that $v$ is orthogonal to every vector in $W$?
Is there any theory for this? Is this ... | 5 | [
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... | 39,089 | 39089 | |
Math Forum Discussions
Gary
Posts: 73
Registered: 9/6/07
Re: SVD for PCA: The right most rotation matrix
Posted: Jan 4, 2013 4:19 PM
On Monday, 29 October 2012 02:28:37 UTC+2, Paul wrote:
> My apologies if this appears twice. The posting of this message seems
>
> to have been held up.
>
>
>
> I am trying to understan... | 4 | [
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Chapter 8 Rotational Equilibrium and Dynamics
Chapter 8
Rotational
Equilibrium and
Dynamics
8-1 Torque
Torque (t)
A quantity that measures
the ability of a force to
rotate an object around
some axis.
t Greek letter ‘tau’
Net Torque
produces rotation.
Just like ... | 5 | [
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0.02... | 39,091 | 39091 | |
pre calculus problem
May 15th 2007, 10:05 PM
Amy
pre calculus problem
Anna decides to approximate the arc length of a sector of a circle of radius 12 units and central angle 3pi/4. She inscribes N identical isosceles triangles in the sector and attempts to sum N
line segments of length AB.
a) Show that ... | 5 | [
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... | 39,092 | 39092 | |
Expressing in partial fractions
July 7th 2007, 11:11 AM #1
Newbie
Joined
Mar 2007
Posts
11
$(9x^2) / [(x -1)^2 * (x + 2)]$
It's part of a set of partial fractions I have to do.. I can't seem to solve this?
Meh I did that and then tried substituting values for $x$ but it didn't seem to work
... | 4 | [
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0.058837890625,... | 39,093 | 39093 | |
Paradoxes Resolved, Origins Illuminated - Requiem for Relativity
Author Topic
Joe Keller
Posted - 15 Jul 2008 : 18:18:19
USA quote:Originally posted by nemesis
956 Posts
... | 4 | [
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Weighing Bales of Hay
Date: 12/10/97 at 19:34:17
From: Anthony D Mays
Subject: POW(Problem of the Week)
Dear Dr. Math,
Here's the problem.
You have five bales of hay. For some reason, instead of being weighed
individually, they have been weighed in all possible combinations of
two: bales 1 and 2, bales 1 and 3, ba... | 4 | [
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-0.068359375,... | 39,095 | 39095 | |
A very annoying Inequality
November 9th 2008, 10:58 AM
davidmccormick
A very annoying Inequality
Can anyone help me with this question:
Show that if f is continuous on the closed interval [0,1] then,
[IMG]file:///C:/DOCUME%7E1/OWNER%7E1.UNC/LOCALS%7E1/Temp/moz-screenshot.jpg[/IMG][IMG]file:///C:/DOCUME... | 5 | [
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-0.01544189453125,
-0.0573730468... | 39,096 | 39096 | |
E.W.Dijkstra Archive: Some beautiful arguments using mathematical induction (EWD697)
Some beautiful arguments using mathematical induction
The purpose of this article is to exemplify the possibly great role in our reasoning played by mathematical induction. Mathematical induction is of special significance for computi... | 5 | [
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0.02... | 39,097 | 39097 | |
Rocket Position and Velocity
Date: 04/12/2001 at 08:52:30
From: Asha K.R.
Subject: Trapezoidal as well as Simpson's rules
A rocket is launched from the ground. Its acceleration, measured every
5 seconds, is tabulated below. Find the velocity and position of the
rocket at t = 40 seconds. Use trapezoidal as well as Si... | 5 | [
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Amazing examples in complex Algebraic Geometry
up vote 3 down vote favorite
2
Good example teaches sometimes more than couple of theorems. I wonder what are your favourite examples in complex algebraic geometry, the ones that were astonishing for you, the simpler (at least
available for people without PhD in AG) the b... | 4 | [
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