content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
How to Calculate Rate of Return of Stock Portfolio
Finance Homework Julian Vu
p. 65 (3, 4), p. 66-69 (1, 2, 3, 4, 5, 12, 14), p. 107 (2), p. 109 (3,4)
2-3:
Given:
Security A ... | 5 | [
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0.020263671875,
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0.020751953125,
0.04296875,
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0.09228515625,
0.07470703125,
0.064453125,
0.000400543212890625,
0.0106201171875,
0.0400390625,
-0.012939453125,
0.00531005859375,
0.0101318359375,
0.076171875,
0.013732910... | 43,500 | 43500 | |
Geometric series with complex numbers
October 28th 2010, 12:13 PM #1
Junior Member
Joined
Sep 2010
Posts
64
Geometric series with complex numbers
Hi, I have the following exercise and I have no clue how to approach it...I would really appreciate it if anyone could give me a hand since I have never done t... | 4 | [
-0.1181640625,
0.052490234375,
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0.07763671875,
0.015380859375,
-0.03125,
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0.05859375,
0.062255859375,
-0.016357421875,
-0.055908203125,
-0.04345703125,
-0.043212890625,
0.... | 43,501 | 43501 | |
Is the preimage of the closure the closure of the preimage under a quotient map?
up vote 6 down vote favorite
1
Let $f : X \to X/\sim$ be a quotient map from a topological space $X$ to the quotient space $X/\sim$ for $\sim$ some equivalence relation. Let $S \subseteq X/\sim$. Is it true that $f^{-1}(\overline
{S}) = \... | 5 | [
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0.0107421875,
0.0172119140625,
0.03515625,
-0.0186... | 43,502 | 43502 | |
Local and global maxima
Hi Professor!
Just very quickly, what’s the difference between the global maximum/minimum of a function and the local maximum/minimum of a function? I understand that if a function achieves a global maximum at a
point then it automatically achieves a local maximum, but vice versa is not necess... | 4 | [
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0.027587890625,
0.00021076202392578125,
0.0830078125,
-0.065... | 43,503 | 43503 | |
Finding the coordinate for the apex of a tetrahedron
September 10th 2013, 07:15 PM #1
Member
Joined
Sep 2012
From
United States
Posts
97
Thanks
21
Finding the coordinate for the apex of a tetrahedron
Hey all,
When one has all the edge lengths of an irregular tetrahedron as well as the three ... | 4 | [
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-0.01214599609... | 43,504 | 43504 | |
A simple result on homotopy in Riemannian manifolds
This is a simple result on the homotopy of two curves with the same endpoints in a Riemannian manifold ${(M, g)}$, which is raised in today’s Riemannian geometry lesson. Professor sketched the proof
of the result but there’s one point which seems unclear (at least to... | 5 | [
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0.035888671... | 43,505 | 43505 | |
quotient ring
quotient ring
Definition. Let $R$ be a ring and let $I$ be a two-sided ideal of $R$. To define the quotient ring $R/I$, let us first define an equivalence relation in $R$. We say that the elements $a,b\in R$ are
equivalent, written as $a\sim b$, if and only if $a-b\in I$. If $a$ is an element of $R$, we... | 4 | [
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0.004302978515625,
-0.00133514404296875,
0.095703125,
0.0183105... | 43,506 | 43506 | |
Top cohomology of resolution of singularities
up vote 5 down vote favorite
2
Let $X$ be a projective variety over $\mathbb C$ of dimension $n$. Let $\tilde{X} \to X$ be a resolution of singularities. Suppose that $H^n(\tilde{X}, \mathcal O_{\tilde{X}}) = 0$. What can we say
about $H^n(X, \mathcal O_X)$? When is it $0$... | 4 | [
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0.00... | 43,507 | 43507 | |
Continuity problem
December 19th 2012, 04:34 AM #1
Member
Joined
Nov 2011
Posts
86
Hi everyone, this is a problem from a previous exam. I manage to solve half of it, but am struggling with the second half.
f(x) = x^2 + x - 1 for x ≥ 0
f(x) = a cos(x) + b sin(x) for x < 0
Find a and b so that... | 4 | [
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-... | 43,508 | 43508 | |
f(x) and g(x)
April 11th 2013, 04:40 PM #1
f(x) and g(x)
Let $f(x)$ and $g(x)$ be defined by:
$f(x)=x+3$
$g(x)=\left\{\begin{matrix}<br /> 2-x &x< 0 \\x^2-2x-1 <br /> & x\geq 0<br /> \end{matrix}\right.$
(a) Evaluate $(f+g)(-2)$, $(f-g)(-1)$, $(fg)(1)$ and $(f/g)(2)$.
(b) Find all $x$ for which... | 4 | [
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0.02233886... | 43,509 | 43509 | |
Minimal normal subgroups are elementary Abelian
May 27th 2010, 06:34 AM #1
Junior Member
Joined
Mar 2010
Posts
36
Minimal normal subgroups are elementary Abelian
Hey, can anybody help me with this?
If $G$ is a finite group with a minimal non-trivial normal subgroup $M$ such that $M$ is Abelian, then... | 5 | [
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Entropy of Markov processes
up vote 1 down vote favorite
1
Consider a Markov process $X_t$ with generator $L$ and invariant distribution $\pi$, whose distribution at time $t$ is given by $\pi(t,dx)=\phi(t,x) \pi(dx)$ - in other word, $\phi(t,x)$ is the
density of $\pi(t, dx)$ wiht respect to the invariant distribution... | 4 | [
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-0... | 43,511 | 43511 | |
Limits and Continuity Lesson Plans & Worksheets | Lesson Planet
Limits and Continuity Teacher Resources
Find Limits and Continuity educational ideas and activities
Showing 1 - 14 of 14 resources
In this limits and continuity test, learners solve 8 multiple choice questions. They define the words limits and continuit... | 4 | [
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0.0020141601... | 43,512 | 43512 | |
Solving a Diophantine Equation By Use of Number Fields
Date: 03/01/2006 at 03:36:50
From: Krassi
Subject: x^2 = y^7 + 7
Prove that there aren't integer solutions (x,y) to the equation:
x^2 = y^7 + 7. It seems like x must be even and y must be 1(mod 4),
but I'm having trouble getting anywhere.
Date: 03/01/2006 at ... | 5 | [
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0.07861328125,
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0.00201416015625,
-0.07421875,
-0.02380... | 43,513 | 43513 | |
The "binary" product preserves pushouts?
up vote 4 down vote favorite
3
In the category Set of sets and functions, consider the functor F(X) = X * X where * is the product (its action on arrows is just F(f) = f * f). Does this functor preserve pushouts? Or at least
pushouts of pairs of epimorpisms?
ct.category-theor... | 5 | [
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E.W.Dijkstra Archive: When messages may crawl.
(EWD 708)
When messages may crawl.
The last session of the Tuesday Afternoon Club was devoted to the question when what has been proved to be correct when viewed as "a telex system", can also be implemented as "a mail system". The
original motivation was the following.
... | 4 | [
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0.06591796875,
-0.02819... | 43,515 | 43515 | |
Math Teacher Mambo
Yesterday at the start of geometry class I had the homework answers projected from the document camera, and was silently reviewing in my mind what we would be doing that day while my students checked
their answers. I was ready to perfunctorily ask if they had any questions before we moved on to "the ... | 4 | [
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Topic: changing variable in an equation
Replies: 4 Last P... | 5 | [
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... | 43,517 | 43517 | |
Factoring
How would I factor $64x^4-768x^3 + 3392x^2 -6529x +4625 = 0$ to $(4x^2-25x +37)(16x^2-92x+125) = 0$
ok, so, are you asking us to finish factoring? or how to get where its at in factoring the problem? $<br /> <br /> (4x^2-25x +37)(16x^2-92x+125) = 0<br />$ you can just use the quadratic formula to
finish it: ... | 4 | [
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0.0223388671875,
-0.00836181640625,
0.11962890625,
0.01806640625,
-0.01458... | 43,518 | 43518 | |
Ultralimit versus partial limit
up vote 7 down vote favorite
Let $\omega$ be a nonprincipal ultrafilter on $\mathbb N$.
A standard construction gives an $\omega$-limit, say $x_\omega$, for any bounded sequence $(x_n)$ of real numbers. Namely, there is unique real value $x_\omega$ such that
$$\{\,n\in\mathbb N\mid |x_... | 5 | [
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0.029052734375,
0.00732421875,... | 43,519 | 43519 | |
The following fig show the distribution of digits ....Test the hypothesis
December 4th 2009, 09:09 PM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
The following fig show the distribution of digits ....Test the hypothesis
Question:
The following figures show the distribution of digits in num... | 4 | [
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0.0088500976562... | 43,520 | 43520 | |
Monday Math: Pythagorean TriplesMonday Math: Pythagorean Triples
It just so happens that I am teaching elementary number theory this term. So how about the triumphant return of Monday Math!
For those playing the home game, the course textbook is A Friendly Introduction to Number Theory (Third Ed.) by Joseph Silverman.... | 4 | [
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0.0625,
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-0.059326171875,
0.01953125,
-0.0... | 43,521 | 43521 | |
trigonometric equation
what is the integral of 1/(cos2y+1) ? regarding A) i put v=cosy $-v'=cosx(2v-sin^2x)$
from this substitution i got $-u'=2u^2 -u(sin x)^2$ by rearanging i got u'/u +2u=(sin x)^2 what to do now?
You did the substitution incorrectly. u = sin(y). sin(x) remains as is.
i got u'+2ucosx=-(sin x)^2 $(... | 5 | [
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-... | 43,522 | 43522 | |
Use discriminant to find the domain for which the angle is acute
July 30th 2013, 07:27 PM #1
Newbie
Joined
Apr 2013
From
Australia
Posts
19
Use discriminant to find the domain for which the angle is acute
I have the following equation -
and am required to use it for the problem - "Use the ... | 4 | [
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-0.... | 43,523 | 43523 | |
Applications for p-Sylow subgroups theorem
up vote 16 down vote favorite
11
I have searched for such a question and didn't find it. I recently had a presentation in which I introduced $p$-Sylow subgroups and proved Sylow's theorems. I will have another one soon, concerning
applications of Sylow's theorem.
My question... | 5 | [
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0.0480957... | 43,524 | 43524 | |
Polynomial
In mathematics, a polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and
non-negative integer exponents. An example of a polynomial of a single indeterminate (or variable), x, is x^2 − 4x + 7, w... | 4 | [
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0.080078125,
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0.045654296875,
-0.072265625,
0.0581054... | 43,525 | 43525 | |
more basic trig
prove the following trig identity: (1+sin theta/ cos theta) + (cos theta/ 1+sin theta) = 2/cos theta Thank you!
Multiply the top & bottom of your second fraction by $1-sin(\theta)$. Your denominator will then be $1-sin^2(\theta)$, which equals $cos^2(\theta)$. Does that help you get started?
$\frac{1 ... | 4 | [
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0.03369140625,
0.08496... | 43,526 | 43526 | |
Integration by Parts Problem
September 13th 2009, 09:48 AM #1
Member
Joined
Sep 2008
Posts
79
Integration by Parts Problem
According to the directions, I should be using u-substitution and integration by parts to find the indefinite integral of:
x ln(1 + x) dx
This is the only problem that I am... | 5 | [
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-0.0247802734375,
-0.043701171875,
-0.0078125,
0.0185546875,... | 43,527 | 43527 | |
Is this correct?
February 13th 2010, 08:36 AM #1
Member
Joined
Dec 2009
Posts
180
Is this correct?
Are these answers I came up with acctually solutions or more just idéas that doesn´t acctually show anything and by "coincidence" happend to have the same numbers as the actual solutions?
Question is:
... | 5 | [
-0.07470703125,
-0.0087890625,
0.052490234375,
0.0361328125,
-0.03466796875,
0.061767578125,
0.0439453125,
-0.0081787109375,
0.06005859375,
-0.04345703125,
0.04345703125,
-0.0223388671875,
-0.018798828125,
0.06396484375,
-0.103515625,
0.0235595703125,
0.052490234375,
-0.05883789062... | 43,528 | 43528 | |
Sunday FunctionSunday Function
We’ve spent more than a few Sunday Function features discussing the properties of the prime numbers. They’re just so important and interesting in number theory that they’re an irresistible target.
Let’s set some scenery before getting to the actual function this week.
There are an infini... | 4 | [
-0.0157470703125,
-0.0030059814453125,
-0.0103759765625,
-0.00531005859375,
0.07958984375,
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0.018798828125,
0.060546875,
0.03173828125,
0.013427734375,
-0.0478515625,
0.0576171875,
0.005218505859375,
0.0026092529296875,
0.043212890625,
-0.15625,
-0.05224609375,
-0.0... | 43,529 | 43529 | |
Intersection of parametric curve in 2d plane, and winplot q's
April 16th 2010, 09:26 AM #1
Banned
Joined
Apr 2010
From
Bend Oregon
Posts
17
Intersection of parametric curve in 2d plane, and winplot q's
The attachment is a set of equations that define a parametric curve in the xy plane. My instruction... | 5 | [
-0.037353515625,
-0.055908203125,
-0.041015625,
-0.0120849609375,
-0.0203857421875,
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0.01708984375,
0.09033203125,
-0.0218505859375,
0.00244140625,
0.0262451171875,
0.01190185546875,
0.02978515625,
0.01287841796875,
-0.08056640625,
0.09423828125,
-0.06689453125,
-0.... | 43,530 | 43530 | |
Proving that a generic variety with ample canonical bundle has no automorphisms
up vote 8 down vote favorite
1
Let $X$ be a smooth projective connected variety over the complex numbers with ample canonical bundle. If $X$ is generic and $\dim X \leq1$, the automorphism group of $X$ is trivial, see for instance
Why is ... | 5 | [
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0.08251953125,
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0.02392578125,
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0.107421875,
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0.10009765625,
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0.03369140625,
-0.0233154296875,
-0.027099609375,
-0.021484375,
-0.04687... | 43,531 | 43531 | |
Linear and nonlinear field transformations and their application in the variational approach to nonperturbative quantum field theory
Abstract: The present work concerns nonperturbative variational studies of the effective potential beyond the Gaussian effective potential (GEP) approximation. In the Hamiltonian formalis... | 4 | [
-0.0185546875,
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0.004852294921875,
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0.0... | 43,532 | 43532 | |
Relation between the de Rham and Hodge Laplacians on the Exterior Algebra
up vote 3 down vote favorite
6
For a Kahler manifold $M$ we have two well-known Laplacians: the de Rham Laplacian $\Delta_{\text{d}} = ($d$ + $d$^\ast)^2$, and the Dolbeault Laplacian $\Delta_{\overline{\partial}} = (\overline{\
partial} + \over... | 4 | [
-0.10546875,
-0.01904296875,
0.0830078125,
-0.0194091796875,
-0.0771484375,
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0.08642578125,
0.0021209716796875,
-0.052001953125,
0.084960... | 43,533 | 43533 | |
Logika kombinasi.pdf
EE207: Digital Systems I,
Semester I 2003/2004
CHAPTER 3 -ii:
Combinational Logic Design –
Design Procedure, Encoders/Decoders
(Sections 3.4 – 3.6)
Overview
n Design Procedure
n Code Converters
n Binary ... | 5 | [
0.032958984375,
0.046630859375,
-0.0517578125,
-0.064453125,
-0.076171875,
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-0.03955078125,
0.046630859375,
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-0.044921875,
-0.047119140625,
0.09765625,
-0.09521484375,
0.03955078... | 43,534 | 43534 | |
How to simplify this?
July 10th 2014, 10:39 AM #1
Newbie
Joined
Jul 2014
From
BUFF
Posts
4
How to simplify this?
Hi there, havn't done math in a while and I switched back to an advanced course so im a little behind.
The question asks me to simplify $\frac{(3x^{4}y^{5}z^{7})^{5}}{(-3x^{3}yz^{4})^... | 4 | [
-0.0019073486328125,
-0.00872802734375,
-0.044921875,
0.061767578125,
-0.0135498046875,
-0.057861328125,
0.004974365234375,
-0.053955078125,
-0.044921875,
0.0140380859375,
0.015869140625,
0.023193359375,
0.01300048828125,
0.10791015625,
-0.0159912109375,
0.0830078125,
-0.025634765625... | 43,535 | 43535 | |
Posts from July 2011 on The Science of Doom
Statistics and Climate – Part Three – Autocorrelation
Posted in Statistics on July 31, 2011 | 65 Comments »
In the first two parts we looked at some basic statistical concepts, especially the idea of sampling from a distribution, and investigated how this question is answer... | 4 | [
-0.01312255859375,
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0.0140380859375,
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0.03076171875,
0.09033203125,
0.0693359375,
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-0.076171875,
0.0208740234375,
-0.030517578125,
-0.047119140625,
-0.0164794921875,
-0.053466796875,
-0.04858398437... | 43,536 | 43536 | |
prove that E=union of E_i is compact
If $E_1$..., $E_n$ are compact, prove that E= $\cup$ i=1 to n $E_i$ is compact.
It's pretty quick from the finite-open-cover definition of compactness, too; any open cover of the union is also an open cover for each compact set, and finite*n=finite.
Are you given that these are su... | 5 | [
0.06103515625,
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-0.029052734375,
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-0.0673828125,
0.0031585693359375,
-0.0281982421875,
0.04638671875,
-0.005523681640625,
-0.0390625,
-0.0264892578125,
0.01159... | 43,537 | 43537 | |
supremum
March 4th 2007, 09:04 AM
luckyc1423
supremum
For each of these sets for their, supremum and infimum (if they exist), maximum and minimum (if they exist), interior (explain your reasoning), boundary (explain your reasoning), set of
accumilation points (explain your reasoning), closure
and classif... | 4 | [
-0.0191650390625,
0.0159912109375,
-0.0074462890625,
-0.0032196044921875,
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0.0283203125,
0.052978515625,
-0.02783203125,
-0.0263671875,
-0.030029296875,
0.07763671875,
-0.040771484375,
-0.0228271484375,
0.005126953125,
0.0380859375,
-0.... | 43,538 | 43538 | |
Greatest Common Divisors
Next: Example: Testing for Primality Up: Procedures and the Processes Previous: Exponentiation
Greatest Common Divisors
The greatest common divisor (GCD) of two integers a and b is defined to be the largest integer that divides both a and b with no remainder. For example, the GCD of 16... | 4 | [
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0.06689453125,
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0.06640625,
-0.0546875,
0.0162353515625,
-0.0252685546875,
0.045654296875,
0.0439453125,
0.08154296875,
0.027587890625,
-0.00531005859375,
-0.047119140625,
0.06787109375,
-... | 43,539 | 43539 | |
Adjunction between Pro and Ind Completions
up vote 5 down vote favorite
1
Hi,
Let $\mathcal{C}$ be a small category with finite limits and finite colimits.
The Ind-completion $Ind(\mathcal{C})$ is a locally finitely presentable category which is the free cocompletion of $\mathcal{C}$ under directed colimits. That is... | 4 | [
-0.01806640625,
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0.0022735595703125,
0.06982421875,
0.053466796875,
0.01422119140625,
0.04492187... | 43,540 | 43540 | |
Derivative of Areas of Shapes related to their perimter
March 14th 2013, 04:06 PM #1
Newbie
Joined
Mar 2013
From
United States
Posts
2
Derivative of Areas of Shapes related to their perimter
I'm stumped with a question my boss posed to me today. He explained how since the area of a circle is Pi * r^2... | 5 | [
0.107421875,
-0.0244140625,
0.03173828125,
0.047607421875,
-0.0040283203125,
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0.0341796875,
0.11376953125,
0.0233154296875,
0.031982421875,
0.03759765625,
0.06201171875,
0.06494140625,
0.061279296875,
-0.0269775390625,
-0.006744384765625,
0.059570312... | 43,541 | 43541 | |
Complex Analysis (Residual Theorem).
December 4th 2008, 06:31 PM
illusion419
Complex Analysis (Residual Theorem).
Solve http://www.cramster.com/Answer-Board...6250001362.gif
This is what I did... I'm not sure if I'm in the right direction about this problem.
I am french so excuse me if my translation i... | 5 | [
-0.059326171875,
0.034423828125,
0.040283203125,
-0.0216064453125,
0.08935546875,
-0.006744384765625,
0.0302734375,
0.039794921875,
0.06005859375,
0.080078125,
0.07177734375,
0.0257568359375,
-0.0133056640625,
0.0269775390625,
-0.08935546875,
-0.06298828125,
-0.061767578125,
-0.050... | 43,542 | 43542 | |
Rectangles
April 24th 2007, 03:46 PM
doomdesire34
Rectangles
Can someone help me with these, please :confused:
1. The length of a rectangle is 6cm less than twice its width. Find the dimensions of a rectangle if its area is 108cm^2 (squared)?
2. Find the dimensions of a rectangle whose perimeter is 46m... | 4 | [
0.06689453125,
0.053466796875,
0.045654296875,
0.0546875,
-0.01348876953125,
0.01214599609375,
0.004638671875,
0.0732421875,
-0.00604248046875,
-0.0294189453125,
-0.0179443359375,
0.02587890625,
0.0196533203125,
-0.0242919921875,
-0.034423828125,
0.00830078125,
-0.0576171875,
0.056... | 43,543 | 43543 | |
Finding a Series Given the Sum
Date: 09/27/1999 at 00:32:19
From: Mike
Subject: Subrange Sums
Dear Dr. Math,
This is probably a fairly simple question, for which I can't find a
formula. Given an input (integer) number, let's call it x, I must find
all subrange sums that equal the integer x.
I am given that in the ... | 4 | [
-0.0240478515625,
0.042236328125,
0.07275390625,
-0.09130859375,
0.000640869140625,
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0.05078125,
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0.004730224609375,
0.0137939453125,
-0.025634765625,
-0.01312255859375,
-0.003295898... | 43,544 | 43544 | |
Extending braidings to tensor powers
up vote 5 down vote favorite
3
Given a braiding $\Psi: X \otimes Y \to Y \otimes X$ for two objects $X,Y$ in a monoidal category, it seems reasonable to assume that $\Psi$ extends uniquely to a braiding $X^k \otimes Y^l \to Y^l \
otimes X^k$, for all $k,l \in {\mathbb N}$. The proo... | 5 | [
-0.05419921875,
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0.000743865966796875,
-0.03857421875,
-0.095703125,
0.07666015625,
0.0625,
-0.07958984375,
-0.0390625,
-0.026123046875,
0.026611328125,
0.056884765625,
-0.10595703125,
0.05419921875,
0.031982421875,
0.26171875,
0.0021820068359375,
0.029052734375,
-... | 43,545 | 43545 | |
Correlation in graph coloring
up vote 1 down vote favorite
Let $G$ be a (simple) graph.
Given $k \ge \chi(G)$, define $Cor(G,k,u,v)$ to be the proportion among all $k$-colorings of $G$ for which the vertices $u$ and $v$ have the same color.
Questions:
Question 1. Given a graph $G$ and a positive integer $k \ge \ch... | 5 | [
0.00152587890625,
0.040771484375,
-0.000522613525390625,
-0.053466796875,
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0.06640625,
0.0595703125,
0.032470703125,
0.056396484375,
0.056640625,
-... | 43,546 | 43546 | |
Test functions as a taylor series with integral remainder
May 11th 2011, 10:52 AM
measureman
Test functions as a taylor series with integral remainder
Hi All,
Given a test function $\phi$ (C^infinity function with compact support), I have shown that we can write $\phi = \sum_{j = 0}^{m - 1} \frac{x^j}{j!}\p... | 4 | [
-0.01318359375,
-0.0279541015625,
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-0.0228271484375,
-0.0654296875,
-0.04736328125,
0.0091552734375,
-0.00088... | 43,547 | 43547 | |
KVR Forum: Tutorial: BLEPs (using PolyBLEPs but extensible) (Topic in the 'DSP and Plug-in Development' forum)
KVRAF
4078 posts since 11 Feb, 2006, from Helsinki, Finland
Everyone loves BLEPs, and I've been meaning to write an example / tutorial on this stuff for a while now.. but the problem is that you need ... | 4 | [
-0.05859375,
-0.0230712890625,
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-0.0986328125,
0.00054168701171875,
0.03369140625,
0.0830078125,
0.... | 43,548 | 43548 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: calculus of variations (Euler-Lagrange) problem
Re... | 5 | [
-0.0673828125,
0.041748046875,
0.1005859375,
0.041015625,
0.056884765625,
0.0211181640625,
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0.10107421875,
-0.0230712890625,
0.015625,
0.060302734375,
0.03271484375,
0.0634765625,
0.01214599609375,
0.006500244140625,
0.0145263671875,
-0.08154296875,
-0.0859375,
-0.0... | 43,549 | 43549 | |
ultrafilter characterisation of huge cardinals
up vote 3 down vote favorite
A cardinal $\kappa$ is huge iff there is $\lambda>\kappa$ and a $\kappa$-complete normal ultrafilter on $P_{\leq \kappa}(\lambda)$, or, equivalently, on the set of families of subsets of $\lambda$ of
order-type $\kappa$. [1] I want to know whe... | 5 | [
0.0927734375,
-0.01007080078125,
-0.01019287109375,
-0.05126953125,
0.1279296875,
0.0289306640625,
0.06201171875,
-0.019775390625,
-0.01104736328125,
-0.048095703125,
-0.0169677734375,
0.00958251953125,
0.0203857421875,
0.041259765625,
0.015869140625,
0.014404296875,
0.05712890625,
... | 43,550 | 43550 | |
Oil Spill Estimation
I was going to just leave the oil spill in the gulf topic alone. Not because it isn’t important, obviously it is. Rather, I wasn’t going to do anything because I didn’t really have anything to add to
the topic. After a couple of readers requested it, I think I do have something to add. How exactly ... | 4 | [
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-0.03955078125,
0.08544921875,
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0.037109375,
-0.00946044921875,
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0.0185546875,
0.00186920166015625,
-0.0615234375,
-0.083984375,
-0.0634765625,
-0.01953125,
-0.01611328125,
-0.09814453125,
0.032958984375,
0.047607421875,
-0.018310546875,
... | 43,551 | 43551 | |
Posts from January 2012 on Sebastian Pokutta's Blog
Archive for January 2012
Next week I am planning to give a talk on our recent paper which is joint work with Samuel Fiorini, Serge Massar, Hans Raj Tiwary, and Ronald de Wolf where we consider linear and semidefinite
extended formulations and we prove that any linear... | 4 | [
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0.0341796875,
-0.08984375,
0.07666015625,
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0.09130859375,
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0.051513671875,
-0.000164031982421875,
0.0849609375,
0.072265625,
-0.039062... | 43,552 | 43552 | |
Numbers, Numbers
Amicable number, perfect numbers, deficient numbers, abundant numbers, studying numbers was done by many including Ibn Sina better known for work in medicine.
+ Click to read the full article
- Click to close
umber theory interested the Greeks and they studied special kinds of whole numbers (even, o... | 4 | [
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0.08251953125,
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0.055419921875,
-0.000484466552734375,
-0.0291748046875,
-0.06689453125,
-0.07421875,
0.029... | 43,553 | 43553 | |
Limit of the quotient of two sequences
Let $a_n,b_n$ be two sequences verifying that $a_n=\int_{\frac1{n+1}}^{\frac1n}\arcsin(nx)\,dx$ and $b_n=\int_{\frac1{n+1}}^{\frac1n}\arctan(nx)\,dx.$ Compute $\frac{a_n}{b_n}$ as $n\longrightarrow\
infty.$ Note: you can't use the MVT.
Last edited by mr fantastic; September 18th ... | 5 | [
-0.10400390625,
-0.11279296875,
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0.056884765625,
-0.099609375,
0.00921630859375,
0.07177734375,
-0.046875,
... | 43,554 | 43554 | |
Building a virtual gyro
Originally posted by Michael E Stanley of Freescale Semiconductor in The Embedded Beat on Mar 12, 2013
In Orientation Representations Part 1 and Part 2, we explore some of the mathematical ways to represent the orientation of an object. Now we’re going to apply that knowledge to build a virtua... | 4 | [
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0.005615234375,
0.003082275390625,
0.038085... | 43,555 | 43555 | |
characteristic functions and sets
July 22nd 2007, 09:14 PM #1
Junior Member
Joined
Jul 2007
Posts
27
Let X be a set and let A be one of its subsets. The characteristic function of A is the function Q_A: X--> {0,1} defined by
Q_A (x)= {1 if x is in A,
{0 if x is not in A.
a) show that if A an... | 5 | [
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-0.0228271484375,
-0.09375,
-... | 43,556 | 43556 | |
Math Help
April 3rd 2010, 10:29 AM #1
Junior Member
Joined
Aug 2009
Posts
62
Function
Hi people,
f is a coninuous function on [a, b], and differentiable on ]a, b[ such as: $f(1) eq f(0)$ and $(\forall x \in ]0;1[): f'(x) eq 0$
I must show that $(\exists ! \ \alpha \in ]0;1[): 2f(\alpha)-f(0)-f... | 4 | [
0.046875,
-0.034912109375,
0.032470703125,
0.010498046875,
-0.01531982421875,
0.0654296875,
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0.0576171875,
-0.00189971923828125,
-0.0303955078125,
-0.0223388671875,
-0.05517578125,
0.0106201171875,
0.025146484375,
0.0011444091796875,
-0.036376953125,
-0.08447265625,
-... | 43,557 | 43557 | |
Turning Forces. Principle of Moments
This is a quote I like very much:
“Great minds have purposes, others have wishes.”
Washington Irving
Now let’s have a purpose, learning :) Every time we open a door, turn on a tap or tighten up a nut with a spanner, we exert a turning force. Two factors are involved h... | 4 | [
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... | 43,558 | 43558 | |
Binary Classification - A Comparison of "Titanic" Proportions Between Logistic Regression, Random Forests, and Conditional Trees
Binary Classification – A Comparison of “Titanic” Proportions Between Logistic Regression, Random Forests, and Conditional Trees
Now that I’m on my winter break, I’ve been taking a little bi... | 5 | [
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Derivative of a tensor
August 22nd 2013, 11:56 PM
Kiwi_Dave
Derivative of a tensor
How do I go about evaluating:
$abla \cdot (T_{ij} \tau^i \hat x_j)$
if it helps I have $\tau = [y, -x, 0]'$ and T is symetric
I'll give it a go:
$abla \cdot (T_{ij} \tau^i \hat x_j)=\partial_j T_{ij} \tau ^i=\p... | 5 | [
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0.06591... | 43,560 | 43560 | |
Cyclotron Frequency: The Lorentz Force Density ... | Chegg.com
please show all work
Image text transcribed for accessibility: Cyclotron Frequency: The Lorentz force density is = p + x and has units [N/m3]. When the charge and current consist of a single charged particle, such as an
electron, the charge density and cu... | 4 | [
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0.05419921875,
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... | 43,561 | 43561 | |
Indicator function confusion
November 6th 2011, 07:40 AM #1
Newbie
Joined
Jul 2010
Posts
22
Indicator function confusion
Hi,
I'm currently reading a book on probability theory (Resnick, "A Probability Path") and in a section on basic set and measure theory, the indicator function is defined as follo... | 4 | [
-0.09912109375,
0.00537109375,
0.07421875,
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0.03369140625,
0.09375,
-0.037353515625,
-0.095703125,
-0.052978515625,
0.045166015625,
0.0052490234375,
-0.0228271484375,
0.0274658203125,
0.0257568359375,
-0.09814453125,
-0.01... | 43,562 | 43562 | |
Understanding the determinant of the action of Frobenius on the character group of the toric part of the reduction of the Jacobian of a curve.
up vote 1 down vote favorite
I am trying to understand a certain sentence in a paper that I am reading. Let me start with some notation/background. (For a motivation of why thi... | 4 | [
0.004364013671875,
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0.024169921875,
0.08544921875,
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0.04443359375,
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-0.0233154296875,
-0.0390625,
0.04541015625,
-0.04345703125,
-0.02... | 43,563 | 43563 | |
Interval Estimation
Interval Estimation
Point Estimate: A single number used to
estimate a population value.
Interval Estimate: A range within which a
population value probably lies.
Interval Estimator (Confidence Interval):
A formula that tells us how to use sample
... | 5 | [
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0.07275390625,
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-0.130859375,
0.042236328125,
-0.034423828125,
0.033203125,
-0.087890625,
0.054... | 43,564 | 43564 | |
Karatsuba multiplication
Multiplying two \(n\)-bit integers with the naïve algorithm takes \(O(n^2)\) time. But it can be done faster – with the Karatsuba algorithm it takes \(O(n^{\log_3 2}) \approx O(n^{1.58})\) time,
which gives a significant speed-up for large numbers.
The Karatsuba multiplication algorithm for i... | 4 | [
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0.1... | 43,565 | 43565 | |
Ordinary Differential Equations
ORDINARY DIFFERENTIAL EQUATIONS
ENGR 351
Numerical Methods for Engineers
Southern Illinois University Carbondale
College of Engineering
Dr. L.R. Chevalier
Dr. B.A. DeVantier
Ordinary Differential
Equations… where to use them
The dissolut... | 5 | [
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0.0... | 43,566 | 43566 | |
Well-posedness of delay parabolic difference equations
Abstract
The well-posedness of difference schemes of the initial value problem for delay differential equations with unbounded operators acting on delay terms in an arbitrary Banach space is studied. Theorems
on the well-posedness of these difference schemes in fr... | 4 | [
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-0.0103149... | 43,567 | 43567 | |
Math Help
February 4th 2007, 05:52 PM #1
Junior Member
Joined
Jul 2006
Posts
73
Functions
Let the function f : [3,1) -> R be defined by f(z) = (z −3)^2 +5, and
g : R -> R be defined by g(x) = 7 e^x.
(a) Find ran f.
(b) Find g(ran f).
(c) Let B := ran f and C := g(ran f). Write explicitly... | 4 | [
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0.0291748046875,
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0.0211181640625,
0.012939453125,
0.00144195556640625,
-0.08251953125... | 43,568 | 43568 | |
.
3. GAS INFALL AND COOLING IN DARK MATTER HALOS
The Jeans length [J] was originally defined (Jeans 1928) in Newtonian gravity as the critical wavelength that separates oscillatory and exponentially-growing density perturbations in an infinite,
uniform, and stationary distribution of gas. On scales [J], the sound cro... | 4 | [
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0.126953125,
0.02624... | 43,569 | 43569 | |
Subspaces & spans
December 3rd 2009, 11:28 AM
SirOJ
Subspaces & spans
Determine (giving reasons for your answer) whether or
not the following subsets of
R3 are subspaces of R3:
(i) {(x, y, z) | xy = 0}
(ii) {(x, y, z) | x = 3z}
for (i) I got no, the set is not a subset of R3
fo... | 5 | [
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-0.06591796875... | 43,570 | 43570 | |
Completing the Square - ChiliMath
In a regular algebra class, completing the square is usually used to either find the vertex form of a quadratic function (parabola) or solve a quadratic equation.
In this lesson, I will go over a few examples that would illustrate the usefulness of completing the square in the... | 4 | [
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Internal hom of sheaves
up vote 2 down vote favorite
4
Consider [S:a topos, i.e.:S] the category $Shv$ of sheaves on a Grothendieck site $T$ with values in abelian groups. The category $Shv$ is symmetric monoidal with $\otimes$, the tensor product in
every degree. It has also an internal hom (meaning that it is closed... | 4 | [
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0.04638671875,
-0.051269... | 43,572 | 43572 | |
Tangents and Normals - Mathematics
Tangents and Normals
Before attempting this revision your must have knowledge of what tangents are. How to find gradients of tangents and be able to form general formulas for tangents. This is just an expansion from
Gradient of a Tangent to a curve
and without any knowledge of tang... | 4 | [
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0.09716796875,
-0.037353515625,
0.... | 43,573 | 43573 | |
x Factorial and the Gamma Function
Date: 05/29/98 at 18:41:32
From: Ms. Curtis Basham's Math Class
Subject: y=x!
Our class was running a warm-up where the teacher forgot the function
cards, and we were making up our own functions when Nick Gilbertson
stumped the class. We were giving him values for x and he gave us
... | 4 | [
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0.021728515625,
0.109375,
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0.041259765625,
0.07080078125,
0.0233154296875,
0.01318359375,
-0.0159912109375,
-0.0515136... | 43,574 | 43574 | |
You have ten U.S. coins that add up exactly to $1.00
September 4th 2009, 08:29 PM #1
Junior Member
Joined
Mar 2009
From
Berkeley, California
Posts
26
Hi, my name is Andy. I am currently taking linear algebra. My teacher assigned us a problem but I've come to an impasse.
(4 points) You have ten U,... | 4 | [
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0.049560546875,
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0.0084228515625,
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0.06884765625,
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0.028076171875,
-0.0654296875,
-0.0051... | 43,575 | 43575 | |
Control-Affine Systems
15.4.1 Control-Affine Systems
Nonholonomic system theory is restricted to a special class of nonlinear systems. The techniques of Section 15.4 utilize ideas from linear algebra. The main concepts will be formulated in terms of
linear combinations of vector fields on a smooth manifold . Therefo... | 4 | [
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-0.1064453125,
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0.0634765625,
-0.02490234375,
-0.0051574707... | 43,576 | 43576 | |
Formula for the Area of a Circle
Date: 12/17/98 at 23:37:57
From: Kismet
Subject: How do you get the area of a circle?
I haven't figured any of it out, but I want to know how to do it.
Please help.
Date: 12/18/98 at 12:03:44
From: Doctor Peterson
Subject: Re: How do you get the area of a circle?
Hi, Kismet. I'm n... | 4 | [
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0.05078125,
-... | 43,577 | 43577 | |
Pre-calculating large tables of values
October 22, 2013
By Deciphering life: One bit at a time :: R
Pre-calculating large tables of values
I'm currently working on a project where we want to know, based on a euclidian distance measure, what is the probability that the value is a match to the another value. i.e. giv... | 5 | [
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0.0025482177734375,
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0.099609375,
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0.025634765625,
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0.0213623046875,
0.00634765625,
-0.043212890625,
0.03173828125,
-0.034... | 43,578 | 43578 | |
MythBusters: Bringing on the physics bullet drop
If you didn’t catch the latest MythBusters (yeah! new episodes), they did something straight from the physics textbooks. Just about every text has this example of shooting a bullet horizontally and
dropping a bullet from the same height. The idea is that they should hit ... | 4 | [
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-0.0123291015625,
0.1123... | 43,579 | 43579 | |
Explicit formula for an LMI solution
up vote 3 down vote favorite
1
Suppose we have a linear matrix inequality (aka LMI aka spectahedron aka linear matrix pencil):
$$A_{0}+x_{1}A_{1}+x_{2}A_{2}+\ldots+x_{m}A_{m} \succeq 0.$$
(The notation $X \succeq Y$ means that $X-Y$ is positive semidefinite).
If the LMI is feasi... | 4 | [
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0.060546875,
-0.019653320312... | 43,580 | 43580 | |
Sample probability question from an actuarial test
August 27th 2009, 04:58 PM #1
Newbie
Joined
Aug 2009
Posts
17
Sample probability question from an actuarial test
Please help me understand this question.
************************************************** *******
A survey of a group’s viewing ha... | 4 | [
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0.052490234375,
-0.031982421875,
0.00439453125,
-0.08935546875... | 43,581 | 43581 | |
Useless Snippet #1: Transform Vec3f by Matrix4x4f
Goal: Multiply a batch of Vector3f’s with the same 4×4 matrix.
Restrictions:
1. ‘src’ and ‘dst’ arrays shouldn’t point to the same memory location.
2. All pointers should be 16-byte aligned (see below for details on array sizes).
3. Treat Vector3f’s as positions (w ... | 4 | [
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0.01953125,
-0.12207031... | 43,582 | 43582 | |
Leslie matrix
October 5th 2010, 11:21 AM #1
Senior Member
Joined
Sep 2009
Posts
300
Leslie matrix
Hi, I am a little confused with this please help...
leslie matrix A =
( 1.2 2.5 )
( 0.8 0.8 )
population vector =
( 240 )
(124 )
I need to find the population in year 2 and 3??
... | 5 | [
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0.0625,
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0.028076171875,
-0.041015625,
-0.014709472656... | 43,583 | 43583 | |
Representation of $*$-automorphism on finite dimensional matrix algebras
up vote 5 down vote favorite
1
Let $\phi$ define a $*$-automorphism from the matrix algebras $M_n(\mathbb{C})$ to $M_n(\mathbb{C})$ such that $\phi(I) = I$. Is it true that any such map $\phi$ can be represented as $\phi(x) = U x
U^{\dagger}$ (wh... | 5 | [
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Resistor Power Rating and the Power of Resistors
Resistor Power Rating
Resistor Power Rating
When an electrical current passes through a resistor due to the presence of a voltage across it, electrical energy is lost by the resistor in the form of heat and the greater this current flow the
hotter the resistor will get... | 4 | [
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Maximum of a series of integrals of Hermite functions
up vote 1 down vote favorite
Given the function $$f(A) := \sum_{n=1}^{\infty}\left( \int_A \varphi_0\varphi_n \right)^2,$$ where $A$ is any measurable subset of $\mathbb{R}$, and $\varphi_n$ is the $n$th Hermite function, I want
to know for which sets $f$ attains i... | 5 | [
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calc2. find the arc length of a function
I assume you know the arc-lenght formula for this case. Show your work please, or may be an attempt.
y'= (-2e^x)/(e^2x - 1) (y'^2)= [4e^(2x)]/[(e^2x - 1)^2] sqroot of [1+ (y'^2)]= (e^2x +1) / (e^2x -1) then i got stuck. i have no idea how to take the integral of (e^2x +1) / (e^... | 4 | [
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A Conditional expectation
A Conditional expectation
A.1 Review of conditional densities, expectations
We start with the continuous case. This is sections 6.6 and 6.8 in the book. Let X, Y be
continuous random variables. We defined the conditional density of X given Y to be... | 5 | [
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Vacuum tube modeling software - beta testers wanted - diyAudio
Yes, original 5-parameter Koren model
Code:
Ip = K * [Vp * log(1.0 + exp(Kp + Kp*mu*Vg/sqrt(1000.0*Kv + Vp*Vp)))/Kp]^gamma
sometimes runs into trouble because of the square root term. Actually, most improvement to fits in Koren model comes from the Kp pa... | 4 | [
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416
416. Rotations of a dumbbell equipped with ‘the leier constraint’
A. V. Rodnikov
Bauman Moscow State Technical University, Russia
e-mail: avrodnikov@yandex.ru
(Received: 23 September; accepted: 02 December)
Abstract. We consider a special space tethered system consisting ... | 4 | [
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The parallelogram and triangle of forces
Resultant force
When two or more forces are acting together at a point it is always possible to find a single force which will have exactly the same effect as these forces.
This single force is called the resultant force.
Where a number of forces are all acting in the same str... | 4 | [
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Math Help and Algebra Help : math videos
Video Snippets on Math Topics
(Algebra & Pre-Algebra)
... | 4 | [
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Show a polynomial satisfies Eisenstein's criterion
February 17th 2011, 11:00 AM
page929
Show a polynomial satisfies Eisenstein's criterion
Show that if the positive integer n is not a square, then for some p and some integer k, the polynomial (x^2 - [n/p^(2k)]) satisfies Eisenstein's criterion. Conclude that
... | 5 | [
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Optimal Power Flow by Particle Swarm Optimization for Reactive Loss Minimization IJSTR
International Journal of Scientific & Technology Research Volume 1,Issue 1,Feb 2012 ISSN 2277–8616
Optimal Power Flow by Particle Swa... | 4 | [
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Related rates: urgent
January 6th 2007, 03:45 PM #1
Newbie
Joined
Jan 2007
Posts
2
2) The combined electrical resistance R of R1 and R2, connected in parallel, is
1/R= 1/R1 + 1/R2
where R, R1 and R2 are measured in ohms. R1 and R2 are increasing at rates of 1 and 1.5 ohms per second, respectively.... | 5 | [
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Factoring with cubes
August 25th 2009, 01:26 PM #1
Member
Joined
May 2009
Posts
129
Factoring with cubes
DBA in orginal post
Hi,
- I stuck with factoring of the following:
x^3-2x^2-4x+12
I thought I could use grouping like
(x^3-2x^2)- (4x-12)=
x^2(x-2) - 4(x-3)
+
sorr... | 4 | [
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finding hypothesis
May 1st 2011, 08:07 AM #1
Junior Member
Joined
Feb 2009
Posts
37
finding hypothesis
I had to miss my last 2 calc classes and now i'm completely lost on my homework. I posted two problems, the first i don't even know how to begin to start (i'm really confused as to find the
hypothes... | 4 | [
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How to find point of interesection between sin x and sin 0.5x?
October 15th 2011, 12:57 PM #1
Newbie
Joined
Dec 2010
Posts
18
I'm having trouble manually working out points of intersection between trig graphs. I can do them when its between a cos graph and a sin graph using cos^2(x) + sin^2(x) = 1 but I c... | 4 | [
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[SOLVED] Integration
It's because the first integral contains an odd function and is therefore zero as $\int_{-\infty}^{\infty} f(x) dx=0$ if f(x) is odd. The second integral contains an even function so $\int_{-\infty}^
{\infty} f(x) dx=2 \int_{0}^{\infty}f(x) dx$ if f(x) is even. also it should be noted that $f(x) = ... | 4 | [
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