content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Math Help
Find an exact solution to the equation below so that 0 < x< pi (1+tan(x)) / sin(x) = 0
ah, you mean trigonometric equation? (1+tan(x)) / sin(x) = 0. cross multiplying, 1 + tan x = 0 tan x = -1 x = arctan (-1) x = -45 degrees = pi/4 radians or if u want a family of solutions, x = (pi/4)
(4k - 1), where k is ... | 4 | [
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0.02880859375,
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0.040283203125,
-0.059814453125... | 11,000 | 11000 | |
combinations
June 9th 2009, 05:39 AM
Gul
combinations
1)How many four letter words can be formed from the word proportion?
2)How many committees of 9 people can be chosen from 12, if two certain people must never be in the same committee?
1) p is repeated twice, as is r, and o is repeated three times
... | 4 | [
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0.00811767578125,
0... | 11,001 | 11001 | |
Hilbert's seventh problem, and powers of 2 and 3
I’ve been focusing my blog posts recently on the mathematics around Hilbert’s fifth problem (is every locally Euclidean group a Lie group?), but today, I will be discussing another of Hilbert’s
problems, namely Hilbert’s seventh problem, on the transcendence of powers ${... | 5 | [
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... | 11,002 | 11002 | |
Restricted DCJ-indel model: sorting linear genomes with DCJ and indels
Abstract
Background
The double-cut-and-join (DCJ) is a model that is able to efficiently sort a genome into another, generalizing the typical mutations (inversions, fusions, fissions, translocations) to which genomes
are subject, but allowing the ... | 4 | [
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Equivalence of categories of abelian presheaves reflects isomorphisms of rigid categories?
up vote 3 down vote favorite
Recall that we call a category rigid if it contains no non-identity isomorphisms. Let $\mathbf{rig}$ denote the full 2-subcategory of $\mathbf{Cat}$ spanned by the small rigid categories. It is easy
... | 5 | [
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More Laplace transforms
April 28th 2007, 08:09 AM #1
Newbie
Joined
Sep 2006
Posts
23
More Laplace transforms
This problem looks a lot like the one I posted yesterday, but I am still not sure that I have the hang of how to do these.
Using only the definition fo the Laplace transform, and showing your... | 5 | [
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... | 11,005 | 11005 | |
Econometrics by Simulation
do file
* Often times we are confronted with having data that has many potential levels of interest.
* It is not always clear what the best level of analysis is in that case.
* Imagine that you have district average achievement rates on a statewide exam.
* You also have individual charact... | 5 | [
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-0.04443359375... | 11,006 | 11006 | |
Terminal Value
The terminal value (TV) captures the value of a business beyond the projection period in a DCF analysis, and is the present value of all subsequent cash flows. Depending on the circumstance, the
terminal value can constitute approximately 75% of the value in a 5-year DCF and 50% of the value in a 10-year... | 4 | [
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Im confuse about a limit question
May 8th 2010, 07:18 PM
rowdy3
Im confuse about a limit question
Given that lim x->c f(x)=6 and that lim x->c g(x)= -4, evaluate the following limit. Assume that c is a constant. The x in front of the f is confusing me.
lim [xf(x) + 3 g(x)]^2
x->c
May 8th 2010, 07:34 PM
... | 4 | [
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0... | 11,008 | 11008 | |
Sine approximation Help
11-03-2007
What111
Sine approximation Help
I've been given an assignment to approximate the value of sine of an angle in degrees by using the formula: sin(x) = x −x3/3!+x5/5!−x7/7!+x9/9!· · ·
x is an angle in radians. He wants the program outline to be like so:
1 read in a new v... | 5 | [
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[SciPy-user] error estimate in stats.linregress
josef.pktd@gmai... josef.pktd@gmai...
Mon Feb 23 18:57:13 CST 2009
On Mon, Feb 23, 2009 at 4:45 PM, Bruce Southey <bsouthey@gmail.com> wrote:
> josef.pktd@gmail.com wrote:
>> On Mon, Feb 23, 2009 at 3:01 PM, Bruce Southey <bsouthey@gmail.com> wrote:
>>
>>> Hi,
>>> Yes, ... | 5 | [
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Vitali Covering Lemma
April 14th 2010, 08:10 AM
southprkfan1
Vitali Covering Lemma
The Vitali covering lemma states that given a vitali cover, V, of closed balls of a set A, then given $\epsilon > 0$ there exists a disjoint collection of balls { $V_k$} such that:
1. $m(\coprod V_k) \leq m^*(A) + \epsilon$ N... | 4 | [
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31: Performance
Chapter 31: Performance
This chapter is concerned with performance, that is, the time taken to perform a computation, and how to improve it.
There is one golden rule for achieving good performance in a J program. The rule is to try to apply verbs to as much data as possible at any one time. In other ... | 5 | [
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Boolean Operators
Top
Sub Topics A function in the form f: R^k ⇢ S, where values of ‘R’ are equals 0 or 1 and value of ‘k’ is non negative Integer is known as Boolean function.
Now we will see the Boolean operators.
There are three types of Boolean operators which are given below:
1. A... | 4 | [
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distance-speed problem
May 15th 2008, 03:08 AM #1
Newbie
Joined
May 2008
Posts
12
distance-speed problem
Water in the murray flows at 4km/hr. If a boat takes 3 hours to complete 32km round trip (16 km downstream and 16km back upstream), what is the boat's relative speed to the water?
so far i have fo... | 4 | [
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Effects of vaccination and population structure on influenza epidemic spread in the presence of two circulating strains
Abstract
Background
Human influenza is characterized by seasonal epidemics, caused by rapid viral adaptation to population immunity. Vaccination against influenza must be updated annually, following... | 4 | [
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Why They're Called Direction Cosines
Date: 09/11/2003 at 21:32:05
From: Kristen
Subject: Vector Angles
I would like to know how to find the angles between a 3D vector and
the 3 coordinate axes, given the components of the vector.
Date: 09/12/2003 at 08:36:36
From: Doctor Ian
Subject: Re: Vector Angles
Hi Kristen,
... | 4 | [
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probability of winning dice rolling game
January 10th 2012, 05:00 AM #1
probability of winning dice rolling game
Struggling with a difficult (for me, at least) probability problem. Suppose we play a game where we repeatedly roll a dice. First me, then you, then me, etc.
When I roll three fours in a row, I wi... | 4 | [
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Comparison of On-line Rates
Associated Topics || Dr. Math Home || Search Dr. Math
Comparison of On-line Rates
Dat... | 4 | [
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Spiral Tilings and Integer Sequences
It’s well known that the plane can be tiled by a spiral of geometrically increasing squares as shown below.
This overall shape is sometimes called the “golden rectangle”. Letting S[n] denote the length of the side of the nth square in this spiral, we see by inspection that the edg... | 4 | [
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Stick or Switch?
This lesson plan presents a classic game-show scenario. A student picks one of three doors in the hopes of winning the prize. The host, who knows the door behind which the prize is hidden, opens one
of the two remaining doors. When no prize is revealed, the host asks if the student wishes to "stick or... | 4 | [
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Volume of a cylinder restriced by planes
July 16th 2008, 04:17 PM
crabchef
Volume of a cylinder restriced by planes
Find the area of a cylinder x^2+y^2=9 , the planes y+z=1 and z=1
This is how I set it up: ∫ ∫ ∫ (x^2+y^2) dz dy dx
=> z bounded by 1 < z < 5-y
∫ ∫ ∫ (x^2+y^2) dz dy dx = ∫ ∫ (4-y)(x^... | 5 | [
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PVhydro - PV array model with MPPT
TYPE 70: PHOTOVOLTAIC-cell/module/array
General Description
TYPE 70 models a single solar cell or a PV module or an array consisting of a number of modules. It uses the one-diode model. The cell/module i... | 4 | [
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Langmuir Equation
Alfisol, Item 003: LMMpro, version 1.06
The Langmuir Optimization Program
plus
The Michaelis-Menten Optimization
Program.
HOME The Langmuir FREE FREE Registration Add to Cart
(more softwa... | 4 | [
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Unbounded representations of groups
up vote 8 down vote favorite
1
Let $H$ be a Hilbert space and $G$ be a finitely generated group. Let $\pi:G\rightarrow GL(H)$ be a representation.
A map $c:G\rightarrow H$ is called cocycle if $c(gh)=π(g)c(h)+c(g)$ for all $g,h$ in the group $G$. A cocycle $c$ is proper if the map ... | 5 | [
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Fubini Study Metric and Einstein constant
up vote 4 down vote favorite
2
Hi all,
it is well known that the complex projective space with the fubini study metric is Einstein, but what is the explicit value, i.e. for which $\mu$ does $Ric=\mu g$ hold?
Moreover, I would like to know how to calculate the sectional cuvat... | 5 | [
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0.095703... | 11,025 | 11025 | |
Integral of e^(-3x)*cos(x) dx
May 2nd 2009, 03:46 PM #1
Junior Member
Joined
Jan 2009
Posts
26
Integral of e^(-3x)*cos(x) dx
Problem:
$\int e^{-3x}*cos(x) dx$
Attempt:
$\int uv' = uv - \int u'v$
u = $cos(x)$
du = $sin(x) dx$
v = $\frac{e^{-3x}}{-3}$
dv = $e^{-3x}$
$\in... | 5 | [
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pointed object
Context
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Stable Homotopy theory
Ingredients
Contents
Pointed objects
Idea
In a category $C$ with a terminal object, a pointed object is an object $X$ equipped with a global element $1\to X$, often called its base... | 4 | [
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0.0... | 11,027 | 11027 | |
np.fft.fft off by a factor of 1000 (fitting an powerspectrum)
up vote 1 down vote favorite
I'm trying to make a powerspectrum from an experimental dataset which I am reading in, and then to fit it to an theoretical curve. Now everything is working fine and I'm not getting errors, except
for the fact that my curve keep... | 4 | [
-0.006256103515625,
0.038818359375,
-0.03076171875,
0.07568359375,
-0.02587890625,
-0.04052734375,
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0.07421875,
-0.060302734375,
0.017578125,
0.0013427734375,
-0.0556640625,
0.0010223388671875,
0.0018768310546875,
-0.0220947265625,
0.0458984375,
-0.0224609375,
-... | 11,028 | 11028 | |
Gradings Induced by Coactions?
up vote 0 down vote favorite
A "well-known" fact is that a ${C}_q[U(1)]$-coaction on a vector space $V$ induces a $Z$-grading. I don't see why this is so. Clearly, a ${C}_q[U(1)]$-grading will induce a $Z$-grading. But why does
a ${C}_q[U(1)]$-coaction induce a ${C}_q[U(1)]$-grading? In ... | 4 | [
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0.07763671875,
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0.021240234375,
-0.045166015625,
0.0... | 11,029 | 11029 | |
Mathematics - Factoring Fractional Exponents
02-04-2005 #1
Mathematics - Factoring Fractional Exponents
Me and another classmate are debating the true answer to the following equation. This is a college algebra question.
x^(3/2) + 8x^(1/2) + 16x^(-1/2) = 0
The book says no solution.
My classmate say... | 4 | [
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0.068359375,
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0.0201416015625,
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-0.00958251953125,
... | 11,030 | 11030 | |
Math Help
November 18th 2009, 05:39 AM #1
Senior Member
Joined
Jan 2009
Posts
381
circle
In the figure , AB and CD are chords of a circle with centre O . They intersect at right angle at E . THe perpendiculars from teh centre O meet AB at H and CD at K . Given that EA=27 cm , EB=13
cm , and ED=9cm ,... | 4 | [
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0.057373046875,
... | 11,031 | 11031 | |
Simultaneous equation (?) word problem
November 1st 2010, 04:22 AM
marmarzet
Simultaneous equation (?) word problem
I'm struggling with this...
"Three types of ship are used to transport goods, type P, Q and R. The ships are the same shape and design, but have different sizes. Their cargo capacity depends o... | 4 | [
0.0419921875,
0.01708984375,
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0.052978515625,
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0.11572265625,
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0.0206298828125,
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0.035400390625,
0.064453125,
0.10986328125,
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0.03955078125,
-0.00872802734375,
-0.02526... | 11,032 | 11032 | |
exponential model equations
April 12th 2007, 05:17 PM #1
Junior Member
Joined
Mar 2007
Posts
33
exponential model equations
Before I begin I just want to say anything underlined (e.g. L) is subscript and anyting with ^ infront of it means its a power.
(A) In 1988 number of reported new cases of male... | 4 | [
-0.064453125,
0.031494140625,
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0.0224609375,
0.01025390625,
0.035400390625,
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0.045166015625,
0.0439453125,
0.10009765625,
0.1572265625,
-0.007537841796875,
0.05029296875,
0.051513671875,
0.0283203125,
-0.01458740234375,
-0.06982421875,
-0.05444335937... | 11,033 | 11033 | |
Integrating Powers without much Calculus
up vote 9 down vote favorite
1
I'll jump into the question and then back off into qualifications and context
Using the definition of a definite integral as the limit of Riemann sums, what is the best way (or the very good ways) to establish the results $\int_a^bx^pdx=\frac... | 5 | [
-0.005157470703125,
-0.03515625,
0.02001953125,
-0.0185546875,
-0.009765625,
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0.008544921875,
0.04248046875,
0.01470947265625,
-0.091796875,
0.018310546875,
0.031982421875,
0.06884765625,
-0.0185546875,
-0.058837890625,
-0.01708984375,
0.09423828125,... | 11,034 | 11034 | |
WebDiarios de Motocicleta
A puzzle courtesy of Mohan Paturi:
Given a set S of n numbers, the 3SUM problem asks whether there exist a,b,c ∈ S such that a+b+c=0. It is generally believed that this should take around n^2 time.
But let's assume |S+S| = t ≪ n^2. Show that the problem can be solved in O(t lg^2n) time.
... | 4 | [
-0.0595703125,
0.01470947265625,
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0.09033203125,
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0.0211181640625,
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-0.0390625,
0.03662109375,
-0.04... | 11,035 | 11035 | |
Find the critical points of a multivariable equation
June 27th 2010, 01:12 PM #1
Newbie
Find the critical points of a multivariable equation
I don't even get to $x^2+ y^2= 5$!
The critical points of a multivariable function are where it is not differentiable or where $abla f= 0$.
Here, the function is ... | 4 | [
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0.0224609375,
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Hydraulics and its applications
HYDRAULICS AND
ITS APPLICATIONS
-BY
A. H. GIBSON, M. Sc. Assoc. MEM. INST. C.E.
SENIOR DEMONSTRATOR AND ASSISTANT LECTURER IN ENGINEERING
IN THE UNIVERSITY OF MANCHESTER
NEW YORK
D. VAN NOSTRAND COMPANY
23 MURRAY AND 27 WARREN STREETS
1908
PREFACE.
WERE water a perfectly non-... | 4 | [
-0.08837890625,
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-0.07080078125,
0.04... | 11,037 | 11037 | |
gcd odd and even proof
November 5th 2009, 01:19 PM
sirellwood
gcd odd and even proof
Show that if m does not = n then
gcd((a^2)^n) + 1, ((a^2)^m + 1) = 1, if a is even
and 2, if a is odd.
November 6th 2009, 06:46 AM
Media_Man
Formulation?
Not sure if this question is formulated correctly. I am r... | 5 | [
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0.01397705078125,
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-0.0213623046875,
-0.009033203125,... | 11,038 | 11038 | |
Extension of a string
One end of a light elastic string of natural length `l` , passing through a small smooth ring... - Homework Help - eNotes.com
Extension of a string
One end of a light elastic string of natural length `l` , passing through a small smooth ring of mass `m` , is attached to a point `O` on the ceilin... | 4 | [
0.03662109375,
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0.04931640625,
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0.11181640625,
-0.0169677734375,
-0.00061798... | 11,039 | 11039 | |
I need a better algorithm to solve this
up vote 8 down vote favorite
4
Here is the question (link: http://opc.iarcs.org.in/index.php/problems/FINDPERM) :
A permutation of the numbers 1, ..., N is a rearrangment of these numbers. For example
2 4 5 1 7 6 3 8
is a permutation of 1,2, ..., 8. Of course,
1... | 5 | [
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... | 11,040 | 11040 | |
Roof Structure Question find lengths
I give you a hint. The area of Triangle ABD = area ABC +area BCD Now, call $BD=h$, the height. Then you can find, $CD=\sqrt{4700^2-h^2}$ Thus, area ABD= $(1/2)h(3300 +\sqrt{4700^2-h^2})$ area ABC can
be computed by Heron's Formula area BCD= $(1/2)h\sqrt{4700^2-h^2}$ You have an equa... | 5 | [
0.03662109375,
0.1552734375,
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-0.0712890625,
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-0.036865234375,
0.009033203125,
0.048095703125,
-0.012939453125,
-0.003540039062... | 11,041 | 11041 | |
[racket] Mutable state vs RAM on fire
From: Chris Stephenson (cs at csl.tc)
Date: Thu May 3 01:47:44 EDT 2012
Isn't this just a question of choice of data representation?
Once you drop the explicit powers from the representation and store
least significant coefficient first, then the racket program becomes
extremely... | 4 | [
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0.040283203125,
-... | 11,042 | 11042 | |
Divisibility by 9
Date: 03/22/2002 at 08:18:34
From: Tonya Wagner
Subject: Divisibility by 9
Explain why an integer that is rearranged and then subtracted from
itself is always divisible by nine.
I can show numerous examples and have looked through the math
resources that I have, but I can not seem to come up with ... | 4 | [
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0.017578125,
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-0.0986328125,
-0.059326171875,
0.0434570312... | 11,043 | 11043 | |
Sequence problem
February 25th 2010, 03:22 PM #1
Newbie
Joined
Dec 2009
Posts
9
Sequence problem
Determine the value for n for which
$(2^1)(2^2)(2^3)(2^4)...(2^n)=(2^210)$
I don't know what do here to be honest. Any help would be greatly appreciated, thanks!
EDIT: it's 2 to the power of n ... | 4 | [
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0.0211181640625,
-0.01806640625,
... | 11,044 | 11044 | |
Calculating and Interpreting Z-Scores
Date: 12/13/2005 at 14:04:49
From: Catherine
Subject: Z-Scores
Please help me by providing a step-by-step process for calculating the
z-score, or standard score. My class textbook is too confusing.
There seem to be many ways of calculating z-scores, but no standard
method that ... | 5 | [
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0.08642578125,
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0.002777099609375,
... | 11,045 | 11045 | |
Homework Help
Posted by t on Thursday, March 1, 2012 at 9:16pm.
there were 490 altogether in 2 groups. group A consited of only boys and group b constied of only girls. ther were 2 and a half times as many girls as boys. some girls joined group b and foe every 4
boys in group a 32 more boys jioned the group. the total... | 4 | [
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0.0072021484375,
0.002044677734375,
... | 11,046 | 11046 | |
Tangents to a Curve That Pass through a Fixed Point
Date: 08/08/2008 at 20:39:31
From: Sam
Subject: tangent lines to y=x/(x+1) that pass through the point (1,2)
How many tangent lines to the curve y = x/(x+1) pass through the point
(1,2)? At which points do these tangent lines touch the curve?
I'm not sure how to r... | 4 | [
-0.0625,
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0.07080078125,
-0.0869140625,
-0.... | 11,047 | 11047 | |
differential equations Q2
I get $\frac{2}{3}e^x + Ce^{-2x}$ Looking at the equation we have $\frac{dy}{dx} + 2y = 2e^x$ So the integrating factor is $e^{\int{2\,dx}} = e^{2x}$. Multiplying both sides of the equation by the
integrating factor gives $e^{2x}\frac{dy}{dx} + 2e^{2x}y= 2e^{3x}$ The left hand side is a produc... | 5 | [
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0.06396484375,
-0.047607421875,
-0.07861328125,
0.1083984375,
-0.... | 11,048 | 11048 | |
Maximum of Convex combination of random variables
up vote 1 down vote favorite
Let $X,Y$ be two independent random normal standard distributions. Consider a function $u(x)=\sqrt[ ]{x}$ if $x\geq{}0$ and $u(x)=-2\sqrt[ ]{-x}$ if $x<0$. Define $Z=aX+(1-a)Y$.
Question: How do I find the necessary and sufficient conditio... | 5 | [
0.0179443359375,
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0.016845703125,
0.01483154296875,
0.05859375,
-0.1435546875,
-0.0... | 11,049 | 11049 | |
topological index
Context
Index theory
Integration theory
Analytic integration
Cohomological integration
Variants
Contents
Idea
For a given manifold $X$ of finite dimension there exists an embedding $i : X \to \mathbb{R}^n$ into some Cartesian space. Using the Pontrjagin-Thom collapse map this induces a morphis... | 4 | [
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-0.044189453125,
0.0299072265625,
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0.00628662109375,
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0.0186767578125,
0.00127410888671875,
-0.0279541015625,
-0.017578125,
0... | 11,050 | 11050 | |
Tree Recursion
Another common pattern of computation is called tree recursion. As an example, consider computing the sequence of Fibonacci numbers, in which each number is the sum of the preceding two:
0,1,1,2,3,5,8,13,21,...
In general, the Fibonacci numbers can be defined by the rule
We can immediately translate t... | 5 | [
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-0.0361328125,
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0.02978515625,
0.12451171875,
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0.017333984375,
-0.0751953125,
-0.046630859375,
-0.1279296875,
0.0000369548... | 11,051 | 11051 | |
Prove the addition problem of cos.
Which level are you on? High school or college? --- If college. --- Then, exp (ix)=cos x+i*sin x exp (-ix)=cos x-i*sin x Add, exp(ix)+exp(-ix) =2cos x Thus, cos x=(exp(ix)+exp(-ix))/2=cosh (ix)
Substract, exp(ix)-exp(ix)=2i*sin x Thus, sin x=(exp(ix)+exp(-ix))/2i=-i*sinh (ix) Thus whe... | 5 | [
-0.111328125,
0.08544921875,
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0.0234375,
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0.0093994140625,
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0.042724609375,
0.0712890625,
-0.0654296875,
-0.058837890625,
0.001... | 11,052 | 11052 | |
Forecasting with Single Exponential Smoothing
6. Process or Product Monitoring and Control
6.4. Introduction to Time Series Analysis
6.4.3. What is Exponential Smoothing?
6.4.3.2. Forecasting with Single Exponential Smoothing
Forecasting Formula
Forecasting the next point ... | 5 | [
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-0.072265625,
-0.08544921875,
-0.0498046875,
-0.12890625,
-0.033935546875... | 11,053 | 11053 | |
polynomials with minimal $L_\infty$ norm on multiple disjoint intervals
up vote 7 down vote favorite
1
It is well-known that Chebyshev polynomials are the polynomials of minimal $L_\infty$ norm on [-1,1] with leading coefficient 1. But what if you want the minimal $L_\infty$ polynomial on two disjoint
intervals $[-1,1... | 4 | [
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0.0294189453125,
0.07275390625... | 11,054 | 11054 | |
Problem with the answer provided by wolfram alpha
January 6th 2010, 12:43 AM #1
Banned
Joined
Jan 2010
Posts
21
Problem with the answer provided by wolfram alpha
I am having a problem with evaluating the integral so i put the question in it and i got a answer but i am not sure of his steps
$\int \fr... | 5 | [
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0.033203125,
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0.0244140625,
-0.0155029296875,
-0.1025390625,
0.03955078125,
-0.02587890625,
-0.044677734375,
0.01031494140625,
-0.040283203125,
-0.038818359375,
0.005218505859375,
0.048095703125,
-0.08935546875,
0.053466796875,
-0.00457763671875,
-0.077... | 11,055 | 11055 | |
About generalization of stirling numbers of the second kind
up vote 2 down vote favorite
1
Hello,
The Stirling numbers of the second kind count how many ways can a set of $k$ elements be partitioned into $n$ non-empty classes, with $k=n,n+1,\dots$.
My question is: Is there a generalization of these numbers such that... | 4 | [
-0.064453125,
-0.05517578125,
-0.0272216796875,
0.00927734375,
-0.003570556640625,
0.06640625,
0.0128173828125,
0.01348876953125,
0.03564453125,
0.0166015625,
-0.0810546875,
0.044921875,
0.058349609375,
0.031005859375,
0.037109375,
-0.0244140625,
0.02197265625,
0.044677734375,
0.... | 11,056 | 11056 | |
Which Abelian Group sequences arise as the Homology of Embedded CW Complexes?
up vote 6 down vote favorite
3
Background
Let $\mathcal{A} = \lbrace A_0, \ldots, A_M \rbrace$ be an arbitrary sequence of finitely generated Abelian groups. It is well-known that a finite CW complex $X_\mathcal{A}$ may be constructed so
th... | 4 | [
-0.119140625,
-0.04296875,
-0.025146484375,
0.036865234375,
-0.06787109375,
0.044189453125,
-0.0439453125,
-0.0615234375,
0.044921875,
-0.03369140625,
0.1142578125,
-0.036865234375,
0.0196533203125,
0.004547119140625,
0.00927734375,
0.051025390625,
-0.051025390625,
0.06689453125,
... | 11,057 | 11057 | |
Game Theory (Part 20)
Last time we tackled von Neumann’s minimax theorem:
Theorem. For every zero-sum 2-player normal form game,
$\displaystyle{\min_{q'} \max_{p'} \; p' \cdot A q' = \max_{p'} \min_{q'} \; p' \cdot A q'}$
where $p'$ ranges over player A’s mixed s... | 5 | [
-0.0177001953125,
-0.0031585693359375,
0.022216796875,
-0.078125,
-0.04150390625,
0.169921875,
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0.07470703125,
0.01226806640625,
0.0888671875,
-0.029052734375,
0.07080078125,
0.09375,
0.06103515625,
0.029052734375,
0.06787109375,
0.007354736328125,
0.0159912109375,... | 11,058 | 11058 | |
Efficient approximation of a matrix and its inverse
up vote 6 down vote favorite
1
Assume that $ A $ is a real $ n\times n $ matrix whose rows constitute an orthonormal basis of $ \mathbb R^n $.
Informal statement of question: Assume we want to approximate $ A $ by a rational matrix, such that each entry can be writt... | 4 | [
-0.05126953125,
0.007476806640625,
-0.1552734375,
-0.0087890625,
-0.03369140625,
-0.03271484375,
-0.0198974609375,
-0.08251953125,
0.008544921875,
-0.0252685546875,
-0.060546875,
0.07080078125,
0.072265625,
0.034912109375,
0.0072021484375,
0.0240478515625,
0.058349609375,
0.0771484... | 11,059 | 11059 | |
Demystify Integrated-Phase-Deviation Results In Phase-Noise Measurements
Even though such results are often provided automatically, designers will have better understanding and potential for optimization if they understand how the root mean square (RMS) phase deviation is
calculated from the ratio of power of the singl... | 4 | [
-0.078125,
0.0341796875,
-0.0203857421875,
0.078125,
-0.030517578125,
-0.06201171875,
0.00128936767578125,
0.05224609375,
0.0257568359375,
-0.0712890625,
-0.07470703125,
0.007110595703125,
0.09326171875,
-0.078125,
0.000873565673828125,
-0.05615234375,
0.0517578125,
0.06201171875,
... | 11,060 | 11060 | |
Braingle: 'Tying the Knot' Brain Teaser
Tying the Knot
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.
Puzzle ID: #33450
Fun:
Difficulty:
Category: Probability
Submitted By: medster99
Tweet
There are 6 strings clustered together. One end of each string... | 4 | [
0.016357421875,
-0.020263671875,
0.009033203125,
-0.09423828125,
-0.051025390625,
-0.0228271484375,
-0.0042724609375,
0.06494140625,
0.006378173828125,
-0.017822265625,
0.01068115234375,
0.044189453125,
-0.029296875,
-0.025634765625,
-0.0947265625,
0.1328125,
-0.06396484375,
-0.058... | 11,061 | 11061 | |
Analytic functions with algebraic Taylor coefficients at some point.
up vote 6 down vote favorite
1
This question just came to my mind when reading the question
When may Function (meromorphic) be expanded as power series with coefficients of integers
Suppose $f$ is an analytic function on some open subset $U \subset... | 5 | [
-0.0135498046875,
-0.0012664794921875,
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0.125,
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0.05322265625,
-0.03515625,
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0.0078125,
0.01495361328125,
-0.12255859375,
0.0301513671875,
-0.083984375,
0... | 11,062 | 11062 | |
Sampling a discrete distribution
The following cute question came up at lunch today (all credit goes to Aaron Archer).
Informal challenge: You are given a discrete distribution with n possible outputs (and you know the probability p[i] of each output), and you want to sample from the distribution. You can use a
primi... | 4 | [
-0.0830078125,
0.03271484375,
-0.038818359375,
0.047607421875,
0.015625,
-0.1279296875,
0.06884765625,
-0.0196533203125,
-0.01300048828125,
-0.00421142578125,
-0.1005859375,
-0.023193359375,
0.07275390625,
-0.0400390625,
-0.0225830078125,
0.00372314453125,
0.043212890625,
0.0080566... | 11,063 | 11063 | |
Math Forum Discussions
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Math Forum » Discussions » Policy and News » geometry.ann... | 4 | [
-0.087890625,
0.0279541015625,
-0.01092529296875,
0.05419921875,
-0.01507568359375,
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0.040283203125,
0.06787109375,
0.05712890625,
0.048583984375,
-0.01434326171875,
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0.056396484375,
-0.0262451171875,
0.0213623046875,
-0.126953125,
0.06542... | 11,064 | 11064 | |
Integer programming: converting to binary
April 11th 2009, 02:44 PM
pakman
Integer programming: converting to binary
Maximize 2X1 + 5X2
subject to X1 + X2 <= 15
-X1 + X2 <= 2
X1 - X2 >= 2
X1 + X2 >= 2
X1, X2 >= 0 and integer
I am supposed to convert the model to binary. I'm thinking of u... | 5 | [
0.04345703125,
0.036865234375,
-0.0185546875,
-0.1318359375,
0.05322265625,
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-0.0035247802734375,
-0.126953125,
0.0458984375,
-0.03564453125,
-0.039306640625,
0.06640625,
-0.0079345703125,
0.00078582763671875,
0.07861328125,
0.0245361328125,
-0.00439... | 11,065 | 11065 | |
My Problem
12-31-2003 #1
My Problem
I have one problem that I can't solve. I am thinking about it for a week.
How many subsets with more than two elements can take out from a set with 100 elements??
I know the answer is 2( power 100) - 5051
I don't know why substract 5051 ???
For 2 power 100 i... | 4 | [
0.00567626953125,
0.078125,
0.06689453125,
0.028564453125,
0.053955078125,
-0.06201171875,
0.07666015625,
0.047607421875,
-0.053466796875,
0.04736328125,
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-0.007537841796875,
0.09716796875,
-0.027587890625,
-0.07128906... | 11,066 | 11066 | |
Two integration questions
Last edited by mr fantastic; October 23rd 2009 at 07:36 PM. Reason: Changed post title.
$I = \int_0^\pi \frac{x\sin(x)}{1+\cos^2(x)} ~dx$ Sub $x = \pi - t$ $I = \pi \int_0^{\pi} \frac{\sin(x)}{1+\cos^2(x)}~dx - I$ $2I = \pi \cdot [ -\arctan(\cos(x)) ]_0^{\pi} = \pi^2/2$ $I = \frac{\pi^
2}{4}$... | 5 | [
-0.064453125,
0.06201171875,
0.0810546875,
0.007720947265625,
0.05224609375,
-0.059326171875,
0.049072265625,
0.087890625,
-0.06884765625,
-0.004547119140625,
-0.0029296875,
-0.04736328125,
0.016357421875,
0.0296630859375,
-0.07666015625,
-0.020751953125,
0.1044921875,
-0.024902343... | 11,067 | 11067 | |
An asymmetric approach to preserve common intervals while sorting by reversals
Abstract
Background
The reversal distance and optimal sequences of reversals to transform a genome into another are useful tools to analyse evolutionary scenarios. However, the number of sequences is huge and some
additional criteria shoul... | 4 | [
-0.13671875,
0.03125,
0.0240478515625,
-0.095703125,
-0.025634765625,
-0.0098876953125,
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-0.037353515625,
-0.06396484375,
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0.0380859375,
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-0.01226806640625,
-0.08935546875,
0.016845703125,
-0.0255126953125,
0.00515747070... | 11,068 | 11068 | |
Multi-equilibrium property of metabolic networks: SSI module
Abstract
Background
Revealing the multi-equilibrium property of a metabolic network is a fundamental and important topic in systems biology. Due to the complexity of the metabolic network, it is generally a difficult
task to study the problem as a whole fro... | 4 | [
-0.058837890625,
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-0.11279296875,
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0.0303955078125,
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-0.0517578125,
0.045166015625,
0.06787109375,
-0.10888671875,
-0.029052734375,
0.02392578125,
0.00128173828125,
-0.004852294921875,
0.0037841796875,
-0.049072265625,
-0.0150146484375... | 11,069 | 11069 | |
Simplifying log. expressions.
July 7th 2008, 07:12 PM
mankvill
Simplifying log. expressions.
Help. :( In a hurry.
$ln(15x^3)/y^5$
I dunno how to do the math tags exactly, but the fraction is 15x^3 over y^5
July 7th 2008, 07:27 PM
kalagota
Quote:
did you mean $\ln \left(\frac{15x^3}{y^5}\ri... | 4 | [
-0.029052734375,
0.021240234375,
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0.004058837890625,
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0.0537109375,
0.0166015625,
0.05615234375,
-0.00506591796875,
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0.1220703125,
0.07568359375,
0.1328125,
-0.12451171875,
0.056884765625,
... | 11,070 | 11070 | |
Classifying Spaces Made Easy
Generalized Cohomology Theories and Eilenberg-Mac Lane Spaces
So: what's a "generalized cohomology theory"?
This is a gadget that eats a topological space X and spits out a sequence of abelian groups h^n(X). To be a generalized cohomology theory, this gadget must satisfy a bunch of axioms... | 4 | [
-0.041748046875,
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0.01434326171875,
-0.003631591796875,
-0.01007080078125,
0.0296630859375,
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0.035888671875,
-0.03369140625,
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0.0106201171875,
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-0.0625,
-0.0274658203125,
0.015869... | 11,071 | 11071 | |
Talagrand's Bernoulli Conjecture, resolved.
Talagrand’s Bernoulli Conjecture, resolved.
Apparently, Bednorz and Latała have solved Talagrand’s $5,000 Bernoulli Conjecture. The conjecture concerns the supremum of a Bernoulli process.
Consider a finite subset ${T \subseteq \ell^2}$ and define the value
... | 4 | [
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0.0208740234375,
0.056396484375,
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0.03173828125,
0.01043701171875,
-0.0269775390625,
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0.10693359375,
0.08447265625,
-0.036865234375,
-0.02587890625,
0.001373291015625,
0.046630859375,
-0.04345703... | 11,072 | 11072 | |
Tartaglia's Riddle, Redux
Date: 09/22/2012 at 10:23:59
From: Siobhan
Subject: Logic Question
Logically, if half of 4 were 3, then what would one-third of 50 equate to?
One-third of 50 is not a whole number. Do you have to find a common
denominator? Do you start by saying that half of 8 would be 6?
Date: 09/24/201... | 4 | [
0.009521484375,
0.07177734375,
0.0458984375,
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0.0849609375,
0.02197265625,
0.0712890625,
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0.01513671875,
0.053466796875,
-0.008544921875,
-0.126953125,
-0.027832031... | 11,073 | 11073 | |
de
AP Chemistry by Satellite Lectureguide
Student Edition
... | 5 | [
0.04638671875,
-0.039794921875,
-0.004058837890625,
-0.054931640625,
-0.04248046875,
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0.1064453125,
-0.01348876953125,
0.072265625,
0.1171875,
-0.048095703125,
0.005340576171875,
-0.0301513671875,
-0.03857421875,
0.033935546875,
0.01953125,
0.0128... | 11,074 | 11074 | |
Homework Help
Posted by Sonia on Wednesday, July 21, 2010 at 7:07pm.
A sail boat on lake Huron leaves Southampton and sails 20degrees west of north of 20km. At the same time, a fishing boat leaves Southampton and sails 30degrees west of south for 15 km. At this point,
hot far apart are the boats, to the nearest metre?... | 4 | [
0.005523681640625,
0.08203125,
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-0.033935546875,
0.034423828125,
0.01263427734375,
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0.07373046875,
-0.0751953125,
0.021484375,
0.06689453125,
-0.061279296875,
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0.0419921875,
-0.031982421875,
0.0419921875,
-0.054443359375,
-0.0051879882... | 11,075 | 11075 | |
Find eq. to ellipse
November 3rd 2006, 10:17 AM #1
Member
Joined
Nov 2005
Posts
172
Find eq. to ellipse
Find the equation of the line that is tangent to the ellipse
b^2x^2 + a^2y^2 = a^2b^2 in the first quadrant and forms with the coodiante axes the triangle with smallest possible area (a and b are p... | 5 | [
0.0087890625,
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0.0277099609375,
0.0245361328125,
-0.0052490234375,
0.05517578125,
-0.0093994140625,
0.109375,
-0.00750732421875,
0.017578125,
0.007171630859375,
0.0419921875,
0.1806640625,
-0.049072265625,
-0.09033203... | 11,076 | 11076 | |
Math is Hard (I need help)
July 22, 2012 3:49 PM Subscribe
Math is hard. Please help me with a slope-related problem.
I have a project that is 103 inches high on one end, and 119 inches high on the other end. It is 394 inches long.
Given this information, I need an on-line calculator that can tell me the height of... | 4 | [
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0.16796875,
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0.0849609375,
-0.02392578125,
0.1015625,
-0.06103515625,
0.056396484375,
... | 11,077 | 11077 | |
Planes in space
August 8th 2009, 09:27 AM
adkinsjr
Planes in space
I need to find the plane $A$ that contains the line $r_A(t)=<3+2t , t , 8-t>$ and is parallel to the plane $B, 2x+4y+8z=17$
I know that the normal vectors $n_A=<a,b,c>,n_B=<2,4,8>$ should have a dot product equal to one. also know that the p... | 4 | [
-0.05712890625,
-0.0008544921875,
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0.06494140625,
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0.0986328125,
-0.0123291015625,
-0.0294189453125,
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-0.007354736328125,
-0.06396484375,
0.009521484375,
-0.054443359375,
... | 11,078 | 11078 | |
Perl 6
p1-moritz
Download the raw code.
use v6;
# after http://en.wikipedia.org/wiki/Matrix_chain_multiplication#A_Dynamic_Programming_Algorithm
sub matrix-mult-chaining(@dimensions) {
# @cp has a dual function: the upper triangle of the diagonal matrix
# stores the cost (c) for mulplying matrices $i and $... | 4 | [
-0.0247802734375,
0.042724609375,
-0.0791015625,
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-0.0177001953125,
-0.0026397705078125,
-0.00020694732666015625,
0.015869140625,
0.001007080078125,
0.0439453125,
0.056640625,
-0.036865234375,
-0.0537109375,
0.134765625,
0.000598... | 11,079 | 11079 | |
History of post edits
You could experiment a little. Take two masses and draw them traveling at some random velocity (this implies direction too). Have a toggle button that either skips the gravitational force
calculations or turns it on. When the button is toggled off all objects should continue in a straight ... | 5 | [
0.0164794921875,
-0.0634765625,
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0.0194091796875,
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0.000812530517578125,
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-0.009033203125,
-0.0380859375,
0.0517578125,
-0.00543212890625,
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0.06494140625,
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-0.00927734375,
-0.0302734375,
... | 11,080 | 11080 | |
A counterexample to a strong polynomial Freiman-Ruzsa conjecture
One of my favourite open problems in additive combinatorics is the polynomial Freiman-Ruzsa conjecture, which Ben Green guest blogged about here some time ago. It has many equivalent formulations
(which is always a healthy sign when considering a conject... | 4 | [
-0.0093994140625,
0.038818359375,
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0.0224609375,
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-0.037841796875,
0.047119140625,
-0.000423431396484375,
0.0361328125,
0.... | 11,081 | 11081 | |
Parshall
Parshall flumes
Contents
Parshall flumes are a particular form of venturi flume developed by the late Dr. Ralph Parshall . They are intended to be installed in open channels in order to determine the flow of water The narrow
throat produces a differential head which under the proper conditions is propor... | 4 | [
-0.0111083984375,
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0.048095703125,
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0.00732421875,
0.07568359375,
0.0247802734375,
-0.0206298828125,
-0.059326171875,
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0.00494384765625,
-0.04150390625,
-0.06103515625,
-0.09033203125,
-... | 11,082 | 11082 | |
Math Help
September 17th 2010, 06:30 PM #1
Member
Joined
Sep 2009
Posts
83
Time series
I have a book series of time and says in part:
An example of time series would be:
$Y_t = 0.8Y_{t -1} + \epsilon_t,$$t = 1, 2 ...$
Then they say, this series can also be expressed as:
$Y_t = \displ... | 4 | [
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0.049560546875,
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0.1396484375,
0.004425048828125,
0.0000011995434761047363,
0.0118408203125,
0.01324462890625,
0.038818359375,
-0.05322265625,
-0.0123291015625,
-0.0439453... | 11,083 | 11083 | |
Prove Sum nci = 2^n ...
Date: 05/30/98 at 15:49:00
From: Andy
Subject: Pascal's triangle
I would like to know how to prove sum nCi = 2^n with 0 <= i <= n.
I tried the definition of nCi = n!/[i!*(n-i)!] but nothing.
Thanks,
Andy
Date: 06/19/98 at 15:26:55
From: Doctor Santu
Subject: Re: Pascal's triangle
Than... | 5 | [
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What are the possible symplectic structures on a given Lie groupoid?
up vote 2 down vote favorite
1
Recall the definition of a symplectic groupoid. Roughly this is a Lie groupoid such that the object manifold is Poisson, and the arrow manifold is symplectic such that the symplectic form is
compatible with the groupoid... | 4 | [
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0.0747070312... | 11,085 | 11085 | |
ical
How to do it
Goldbach's conjecture
This unproven suspicion of mathematics suggests that every even number larger than 2 can be expressed as the sum of two prime numbers (4 = 3 + 1, 6 = 5 + 1, 8 = 7 + 1 = 5 + 3 etc.).
Your mission, should you accept it (yes, the reference was intended), is to explore the pattern... | 4 | [
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0.007415771484375,
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-0.041748046875,
-0.053466796875,
-0.027221... | 11,086 | 11086 | |
Growth of Coefficients of cusp forms
up vote 5 down vote favorite
2
Hi I am curious about the growth of coefficients of cusp forms. I am aware of Ramanujan-Petersson conjecture/theorem in general terms but I was hoping for a more detailed description of precise
statements on the growth of all the cusp form coefficien... | 4 | [
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-0.0128173828125,
-0.09130859375,
-0... | 11,087 | 11087 | |
GHCN processing algorithm
As
Zeke says
, it seems to be a custom now for bloggers to post codes to grid GHCN data and calculate trends. Here's my offering. It's influenced by Jeff Id's
program
, and particularly by Romanm's
Least Squares
. In fact, it's an extension of Roman's offset method to the whole global se... | 4 | [
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-0.035888671875,
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0.0084228515625,
... | 11,088 | 11088 | |
A question about vector fields
up vote 4 down vote favorite
2
This is a question related to A question about a one-form on Riemannian manifold
Let M be a Riemannian Manifold, how to construct two vector fields that they didn't have common zeros and perpendicular to each other with the same length only on isolated poi... | 5 | [
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0.04467... | 11,089 | 11089 | |
BREAKTHROUGH in algorithms: Improved algorithm for Metric TSP!!!!!!!!
BREAKTHROUGH in Algorithms: Improved Algorithm for Metric TSP,
(Guest Blog by Mohammad Hajiaghayi)
We all recently heard about the breakthrough complexity result by Ryan Williams on non-uniform circuit lower bounds. Here is a breakthrough from algo... | 4 | [
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0.06... | 11,090 | 11090 | |
Atiyah-MacDonald, exercise 2.11
up vote 12 down vote favorite
17
Let A be a commutative ring with 1 not equal to 0. (The ring A is not necessarily a domain, and is not necessarily noetherian.) Assume we have an injective map of free A-modules A^m -> A^n. Must we
have m <= n?
I believe the answer is yes. For instance,... | 5 | [
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0.0202636718... | 11,091 | 11091 | |
Patent US4118784 - Differential DFT digital filtering device
This invention relates to digital filtering techniques and, more particularly, to the devices with which it is possible to minimize the number of operations necessary to carry out a digital filtering
operation.
Filtering a signal x(t) by a filter having an i... | 4 | [
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... | 11,092 | 11092 | |
HELP!!!Word Problem
April 14th 2009, 06:25 PM #1
Newbie
Joined
Mar 2009
Posts
14
HELP!!!Word Problem
If your allowance was a penny doubled every day, how many days would it take for you to have over $1000? On which day would you have over $10000? How much money would you have on the 15th day?
y = (1... | 4 | [
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-0.0... | 11,093 | 11093 | |
Trig Identity Simplification
August 22nd 2010, 03:40 PM #1
Newbie
Joined
Aug 2010
Posts
21
Trig Identity Simplification
Hey guys,
How would I go about solving
$\frac{cos(2x)}{1-sin(2x)}=\frac{1+tan(x)}{1-tan(x)}$
I have already tried cross-multiplying, but that didn't work out too well
... | 4 | [
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0.043945... | 11,094 | 11094 | |
Explain how solve indices equation `2^((2x-1)/(x-1))+2^((3x-2)/(x-1))=24` ? is a special technique ? - Homework Help - eNotes.com
Explain how solve indices equation `2^((2x-1)/(x-1))+2^((3x-2)/(x-1))=24` ?
is a special technique ?
You should come up with the following substitution such that:
`y = 1/(x-1) => x-1 = 1... | 4 | [
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0.052978515625,
-0.12109375,
-0.01367... | 11,095 | 11095 | |
Necessity of hypercovers for sheaf condition for simplicial sheaves
up vote 11 down vote favorite
7
I'm trying to understand where the definition of simplicial sheaf on a space/site comes from.
For a presheaf $F$ of sets on a topological space $X$, the sheaf condition can be viewed as saying that $F$ is a 'local obje... | 4 | [
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-0.0213623046875,
0.0241... | 11,096 | 11096 | |
Clarification on gcd proofs
September 9th 2008, 12:01 PM #1
Clarification on gcd proofs
Hey guys,
So we all (hopefully $d$, is the gcd of two integers, $a$ and $b$, then in general, we must show:
(a) $d \mid a$ and $d \mid b$, and,
(b) If there exists $c$, such that $c \mid a$ and $c \mid b$, then ... | 4 | [
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0.046875,
0.004302978515625,
0.06... | 11,097 | 11097 | |
Sub-representations of the affine group
up vote 1 down vote favorite
1
Let $F=\mathrm{GF}\left(p^k\right)$ be any finite field. Let $G$ be the group of all affine permutations on $F$ (i.e. permutations of form $x\mapsto ax+b$). Then the set of all functions from $F$ to
$\bar{F}$ is a linear representation of $G$, wher... | 5 | [
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0.016235351... | 11,098 | 11098 | |
Course on stacks and action functionals
Notes for talks given at the 8th meeting of the Polish Category theory seminar and at the 4th Odense winter school on geometry and theoretical physics 2011.
under construction
Abstract These are lecture notes that are meant to expose and explain in parallel
1. some differ... | 4 | [
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-... | 11,099 | 11099 |