content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
can i solve conditional probability using n(E)/n(S) approach
Moderator
Registered: 2010-06-20
Posts: 6,092
Re: can i solve conditional probability using n(E)/n(S) approach
Member
Registered: 2013-01-24
Posts: 2
Re: can i solve conditional probability using n(E)/n(S) approach
Thanks a lot but... | 4 | [
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Double Factorial
Date: 02/22/2002 at 03:06:42
From: Linda Mitchell
Subject: Factorial !!
Hi Dr Math.
Please can you tell me what TWO ! marks mean in factorial questions?
For example (1/.2)!! is an expression I have seen, but while I
understand that the first ! would mean 5*4*3*2*1, I have no idea what
the second !... | 4 | [
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0.0096435546875,
-0.03125,
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lebesgue integrability and showing limit as x approaches +/-∞ of F(x) = 0.
February 5th 2011, 07:04 PM
oblixps
lebesgue integrability and showing limit as x approaches +/-∞ of F(x) = 0.
a) let f be L-integrable on R. show that F(x) = integral (from 0 to x) f(t)dt is continuous.
b)show that if F is L-integrab... | 5 | [
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0.032958984375,
-0.054687... | 40,102 | 40102 | |
Sphere Area
November 7th 2011, 06:42 AM
Murchinfus
Sphere Area
Hello,
Problem:
I can't find my mistake when solving the surface area of a sphere.
Description of the sphere:
Given a sphere of radius $R$ centered at the origin. There is a circle at distance $y$ from the origin which has a radius ... | 5 | [
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... | 40,103 | 40103 | |
Reflecting on the Geometric Mean
Discussions of special relativity often refer to the use of clocks and reflected light signals for the evaluation of spacetime intervals. For example, suppose two identical clocks are moving
uniformly with speeds +v and -v along the x axis of a given inertial coordinate system, and th... | 5 | [
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Homework Help
Posted by adela on Sunday, January 2, 2011 at 4:39am.
using the fundamental theorem of calculus what is the derivative of the definite integral from x^3 to sqrt x of (sqrt t) sin t dt
• calculus - MathMate, Sunday, January 2, 2011 at 8:48am
The first fundamental theorem of calculus states that if... | 5 | [
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-0.02734375,
-0.02062988... | 40,105 | 40105 | |
Hodge numbers of a Calabi-Yau 3-fold via deformation theory
up vote 4 down vote favorite
In their paper "Calabi-Yau 3-folds and Moduli of Abelian Surfaces I", Gross and Popescu calculate the hodge numbers of smooth CY 3-folds obtained in the following way (see Remark 4.11 of their
paper): suppose $X$ is a complete int... | 4 | [
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0.063476... | 40,106 | 40106 | |
how to take the root of a very large number?
up vote 1 down vote favorite
given x=4 and y=1296;
we need to solve for z in z^x=y;
we can calculate z=6 in various ways;
Question is how do I find z if y is a very large number greater than 10^100? I obviously can't store that number as int, so how would I go about calcul... | 5 | [
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0.081054... | 40,107 | 40107 | |
Inscribed Quadrilateral
October 17th 2011, 02:40 AM
Honore
Inscribed Quadrilateral
If there are four different circles that are tangent both to the edges of an inscribed quadrilateral and to the circle around that inscribed quadrilateral, how should the inscribed quadrilateral
be chosen so that the sum of th... | 5 | [
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0... | 40,108 | 40108 | |
Archimedes' Parabolic Area Formula
November 2nd 2007, 01:44 PM #1
Member
Joined
Aug 2007
Posts
96
Archimedes' Parabolic Area Formula
The area under a parabolic curve = (2/3)bh. Sketch the graph of the parabolic arch y = h- (4h/b^2)x^2, (-b/2)=< x =< b/2 , assuming that h & b are positive. Then use calcul... | 5 | [
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-0.112304... | 40,109 | 40109 | |
Finding the equation of a circle given the tangent line and a point on that line.
March 15th 2014, 06:37 PM #1
Newbie
Joined
Aug 2013
From
Canada
Posts
6
Thanks
1
I've solved some of them and the rest I don't really understand how to go about.
1. How do I find the equation of the circle if it ... | 4 | [
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... | 40,110 | 40110 | |
Fix point (arithmetic mean)
January 2nd 2010, 04:46 AM #1
Fix point (arithmetic mean)
WE mark:
* For every function f:A-->A we mark fix(f):={a in A|f(a)=a} all sets of fix points of f.
* In S_n we mark all the sets of permutations on {1,2,3,...,n}
* In T_n we mark all functions f:{1,2,3,...,n}-->{1... | 4 | [
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-0.0... | 40,111 | 40111 | |
Intersection of 2 log functions
January 6th 2009, 02:11 PM #1
Member
Joined
Feb 2008
Posts
126
Intersection of 2 log functions
So the log functions given are y=3(5^(2x)) and y=6(4^(3x)) .
We are asked to find their point of intersection. To do this, I set each one to equal the other, 3(5^(2x))=6(4^(... | 4 | [
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0.003219... | 40,112 | 40112 | |
Enneper's Minimal Surface
Date: 10/22/2001 at 22:49:59
From: Robert Vermillion
Subject: Enneper Minimal Surface
What is an Enneper Minimal Surface? Everywhere that I've seen talks
about what they look like, but so far I have not located any plans for
generating an EMS. Why is it minimal as opposed to maximum? What
q... | 4 | [
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-0.037353515625... | 40,113 | 40113 | |
Maxwell's Equations
From Conservapedia
Maxwell's Equations, formulated around 1861 by James Clerk Maxwell describe the interrelation between electric and magnetic fields.^[1]They were a synthesis of what was known about electricity and
magnetism, particularly building on the work of Michael Faraday, Charles-Augustin ... | 4 | [
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Slopes of Perpendicular Lines
Date: 09/17/98 at 22:32:59
From: sarah mielke
Subject: Slopes of Perpendicular Lines
Our class has been working on graphing lines. I understand that the
product of the opposite reciprocals of the slopes of perpendicular
lines that are not vertical and horizontal is -1. I see how it work... | 4 | [
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... | 40,115 | 40115 | |
probability and combinatorics
how do i show that the probability of throwing a large straight in yahtzee is 5/162.
Hello, jayne! I assume we are allowed one throw to get the large straight. . . Then I get a different answer . . . Show that the probability of throwing a large straight in Yahtzee is 5/162. The
probabili... | 4 | [
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... | 40,116 | 40116 | |
Math Help
August 3rd 2008, 02:26 AM #1
Maxima/ Minima
The Question:
A curve for for $z>-1$ is given by:
$x=\ln(1+z), \ y=e^{z^2}$.
Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ and $\frac{\mathrm{d}^2y}{\mathrm{d}x^2}$ in terms of $z$ and show that the curve has only one turning point and that this must b... | 5 | [
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Number Theory Representation of Primes
up vote 4 down vote favorite
2
For a primes $p$ sufficiently large, does there always exists positive integers $k,a,b\in\mathbb{N}$ such that $p=(k+1)(ab)+k(a+b)$ or equivalently $p\equiv (ab)\bmod ((a+b)+ab)$?
Please note that from Frobeneius $p=(k+1)X+kY$ is solvable in non-ne... | 5 | [
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-0.00848388671875,
-0... | 40,118 | 40118 | |
Volume of a Sphere
Date: 05/28/99 at 16:36:40
From: Anonymous
Subject: Volume of a sphere
I know that the volume of a sphere is V = (4 Pi/3)r^3, but I don't
know how this was arrived at and what the explanation of the forumla
is. I would like to know how the volume of the sphere is arrived and
why it is V = (4 Pi/3)... | 4 | [
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0.091308593... | 40,119 | 40119 | |
First order exact equations
September 11th 2013, 10:04 AM #1
Member
Joined
Aug 2009
Posts
101
First order exact equations
I have a problem that has eaten hours of my time. Each time I work it I get a different answer, which suggests it's an issue with algebra. Since I'm dysgraphic it's highly likely that... | 4 | [
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-0.02685546875,
-0.0... | 40,120 | 40120 | |
Finding if a line intersects the plane or not
February 7th 2013, 02:48 PM #1
Junior Member
Joined
Jul 2012
From
NOVA
Posts
25
Finding if a line intersects the plane or not
If the line x = 1-4t; y = 3; z = 2t +2 intersects the plane x + 2y +2z = 5?
I already tried plugging in the parametrization o... | 4 | [
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0.018310546875,
-0.061767578125... | 40,121 | 40121 | |
Make x the subject in each of the following...
December 12th 2010, 05:18 PM #1
Senior Member
Joined
Jul 2009
From
Melbourne
Posts
272
Thanks
4
Make x the subject in each of the following...
I got this question but I'm not really sure how one part of the solutions came up
$tx^2+4tx+10=t$
... | 4 | [
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Proving That a Symmetric Group on a Finite Set Is Not Cyclic If the Set Has More Than Two Elements
Date: 01/11/2010 at 17:35:20
From: Tom
Subject: Abstract Algebra (college math)
A group is cyclic if an element, g, of the group generates the entire
group in the sense that if h is any other element of the group, then,... | 5 | [
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Bijective Linear Transformation Proof
November 17th 2009, 06:59 PM
amm345
Bijective Linear Transformation Proof
Let
T : V → W be a linear transformation that is bijective, that is, it is injective1 and surjective2. For each w ∈ W let T−1(w) be the unique v ∈ V such that
T(v) = w. v exists because T is s... | 4 | [
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... | 40,124 | 40124 | |
Proving?
January 24th 2011, 12:43 AM
Kaloda
Proving?
In the figure, Segment AB is a diameter of the smaller of the two concentric circles. Segments AP and BQ are tangent to the smaller circle at A and B, respectively.
PROVE that Segments AB and PQ intersect at the center of the circle.
January 24th 2011, 0... | 4 | [
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... | 40,125 | 40125 | |
dy
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amorfide Group Title
I need someone to exp... | 4 | [
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0.060546875,
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0.0498046875,
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-0.0... | 40,126 | 40126 | |
Homework Help
Posted by Blake on Sunday, December 30, 2012 at 2:13pm.
A boy throws a stone into a lake from a 74 foot high wall. The chart gives the horizontal distance, x (in feet), the rock has traveled from Jesse and the height, y (in feet) of the rock above the
lake.
Distance, x: (14) (24) (41) (55)
Height, y: (... | 4 | [
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0.0264892578125,
0.038330078125,
-0.027587890625,
0.08203125,
-0.036865234375,
0.00054168701171875,
0.036865234375,
-0.03515625,
0.0208740234375,
0.07080078125,
-0.0091552734375,
0.08837890625,
-0.064453125,
0.024169921875,... | 40,127 | 40127 | |
LongTailedPair gain -> how to calculate? - Page 2 - diyAudio
Re: LongTailedPair gain -> how to calculate?
Quote:
Originally posted by Danko
How can I calculate the voltage-gain of this stage?
Thanks in advance!
I dug up these "rule of thumb" quick and dirty calculations from my archives. I think they were posted... | 5 | [
-0.041748046875,
0.0947265625,
-0.06494140625,
-0.03466796875,
-0.0703125,
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0.04833984375,
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0.046630859375,
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0.046142578125,
-0.06640625,
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0.003814697265625,
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0.00... | 40,128 | 40128 | |
questions need answers
November 1st 2007, 02:36 PM #1
Junior Member
Joined
Oct 2007
From
Egypt
Posts
35
20. if (A∩B∩C)≠0 and P(C|A∩B)=P(C|B) , show that : P(A|B∩C)=P(A|B)
--------------------------------------------------------------------------
21 . suppose that A,B and c are independent ev... | 5 | [
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0.0272216796875,
0.0274658203125,
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0.15625,
0.003509521484375,
0.00946044921875,
0.05224609375,
0.03466796875,
-0.08349609375,
0.002655029296875,
0.037353515625,
-0.037841796875,
0.022705078125,
-0.087890625,
-0.03100585... | 40,129 | 40129 | |
Homework Help
Posted by Anonymous on Sunday, June 8, 2014 at 7:32pm.
The perimeter of a rectangle is 540ft. Let x represent the width of the rectangle. Write a quadratic function for the area of rectangle in terms of its width. Find the vertex of the graph of the
quadratic function and interpret its meaning in the con... | 4 | [
0.015869140625,
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0.09521484375,
0.0179443359375,
-... | 40,130 | 40130 | |
Find distances from angles
March 7th 2008, 01:38 PM #1
Newbie
Joined
Mar 2008
Posts
10
Find distances from angles
Hi,
I have come across a problem I cannot seem to solve by myself, so I was hoping anyone on here could help me with this.
I'm sure it's pretty easy to do what I want, I just can't t... | 5 | [
-0.043701171875,
0.0162353515625,
-0.060546875,
-0.0294189453125,
0.055419921875,
-0.01446533203125,
0.0167236328125,
0.087890625,
0.034423828125,
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0.06884765625,
0.00173187255859375,
-0.00193023681640625,
0.08056640625,
0.01324462890625,
0.015380859375,
-0.04370117187... | 40,131 | 40131 | |
simple question
May 12th 2010, 04:53 AM
llyold
simple question
hai there, is anyone can show the step-by-step how to solve this equation.please2..
y''+25y = 10 sin pt whre p is positive value
y(0) = 0
y'(0) = 5
tq
May 12th 2010, 05:04 AM
llyold
the answer should be p = 5
and y(t) =... | 5 | [
-0.080078125,
0.0458984375,
0.09521484375,
-0.007659912109375,
0.06005859375,
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0.0673828125,
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0.0255126953... | 40,132 | 40132 | |
[SOLVED] Tricky volume problem
August 10th 2008, 05:37 PM #1
[SOLVED] Tricky volume problem
What volume is left of a cone with the radius $2a$ and the height $h$, when you cut out a cylinder with the radius $a$ from the cone (so that the surface of the cylinder is touching the axis of
symmetry of the cone.
... | 5 | [
0.007354736328125,
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0.04736328125,
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0.000957489013671875,
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0.0537109375,
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0.0625,
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0.0634765625,
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-0.018798828125,
0.017089843... | 40,133 | 40133 | |
separable differential equation xy'+y=y^2 when y(1)=-1
March 18th 2009, 03:32 AM #1
Member
Joined
Jun 2008
Posts
175
separable differential equation xy'+y=y^2 when y(1)=-1
The question is to find the solution for
$xy'+y=Y^2$ for when y(1)=-1
here is my working
$<br /> \begin{array}{l}<br />... | 5 | [
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0.020751953125,
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0.035400390625,
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0.0123291015625,
-0.0208740234375,
-0.116... | 40,134 | 40134 | |
Hyperbolicity on Riemann Surfaces
up vote 7 down vote favorite
5
For Riemann surfaces there are at least to possible notions of hyperbolicity. The classical one given by the Uniformization Theorem, or equivalently the type problem, which essentially says that a
simply connected Riemann surfaces is conformally equivale... | 4 | [
-0.0027923583984375,
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0.02001953125,
0.11181640625,
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-0.009521484375,
-0.08496... | 40,135 | 40135 | |
Scanning Fabry Perot Imager cavity
Submitted for Photon „04 Special Issue
High Spatial Spectral Resolution VIS-NIR Scanning Fabry Perot
Imager for Geostationary spaceborne applications
Viviana Vladutescu, Mustapha Abdulfattah, Fred Moshary, Barry Gr... | 4 | [
0.034423828125,
-0.0029296875,
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0.08203125,
-0.01068115234375,
-0.07... | 40,136 | 40136 | |
More Gauss-Jordan help please?
July 15th 2008, 12:19 PM #1
Newbie
Joined
May 2008
Posts
12
More Gauss-Jordan help please?
Determine a relationship between the constants
a and b if the system below is to have infinitely many solutions.
x
+ 2y + z = 1 + b
−
x − 2y + z = a ... | 4 | [
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0.03759765625,
-0.024169921875,
-0.09... | 40,137 | 40137 | |
Matrix Theory
Date: 06/06/2001 at 10:55:32
From: Andre
Subject: Linear Algebra (matrices theory)
I would like to know how to calculate the Jordan canonical form of
the next matrix, with columns:
[(1 -4 -2 -3 -8),(0 1 -1 -1 -2),(-1 -3 0 -3 -7),(1 2 1 4 5),
(0 1 1 1 4)].
I've already done it in 3 by 3 matrices, b... | 5 | [
0.0038299560546875,
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0.0277099609375,
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-0.064453125,
0.047119140625,
-0.0698242... | 40,138 | 40138 | |
Summing the Integers from 1 to n
Date: 08/31/2005 at 08:04:58
From: Anitha
Subject: Adding up numbers
How do you add numbers 1 - n using a formula?
I know there exists a formula. Is it factorial or permutation,
combination or arithmetic progression?
For example, say I want to add up the numbers from 1-13. What is... | 4 | [
-0.045654296875,
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0.01336669921875,
-0.03857421875... | 40,139 | 40139 | |
Divide and Conquer_ Integer Multiplication
Divide and Conquer: Integer Multiplication
The standard integer multiplication routine of two n-digit
numbers involves n multiplications of an n-digit number by a
single digit, plus the addition of n numbers, which have at most
2... | 5 | [
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-0.014892578125,
0.1196... | 40,140 | 40140 | |
The chemical potential
This module is registered in the "advanced" part, despite the fact that the chemical potential belongs to basic thermodynamics. The reason is that people with a mostly physical background (like me)
may often have learned exciting things like Bose-Einstein condensations and the Liouville theorem... | 4 | [
-0.078125,
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-0.0062255859375,
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-0.000152587890625,
0.04443359375,
... | 40,141 | 40141 | |
logs past paper question
January 8th 2012, 09:46 AM #1
Junior Member
Joined
Dec 2011
Posts
28
logs past paper question
log2 x = log 4x +6
this is a question my teacher gave us, the she gave this the first equation on starting the question which is below
log2x = log2x +6 / log24
how did my t... | 4 | [
0.0257568359375,
0.011474609375,
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0.008544921875,
-0.023681640625,
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0.061767578125,
0.042236328125,
0.09814453125,
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-0.006317138671875,
0.015869140625,
0.005767822265625,
0.021728515625,
0.11328125,
-0.1435546875,
0.... | 40,142 | 40142 | |
Solving trigonometric equations?
March 1st 2011, 03:22 PM #1
Senior Member
Joined
Dec 2010
From
CPT
Posts
302
Solving trigonometric equations?
Can anyone help me solve these two problems
sin2x-1=0
2sinx cox-1=0 Then I am not sure how to proceed
sinxtanx-sinx=0
sinx (sinx/cosx)- sin... | 4 | [
-0.00726318359375,
0.0078125,
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0.053466796875,
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0.01318359375,
0.0... | 40,143 | 40143 | |
Proof
What is this Tutorial About?
The tutorial Compound Indication dealt with the realization of assents through speech and covered the various aspects of sentences. The tutorial Indicated Assent then dealt with the statements that
sentences represent and covered aspects such as contradiction and inverse. This tuto... | 4 | [
-0.032958984375,
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-0.02001953125,
... | 40,144 | 40144 | |
Graphing a Absolute Value Equation
June 14th 2011, 03:59 PM #1
Newbie
Joined
Jun 2011
Posts
2
Graphing a Absolute Value Equation
I would like to know where my math went wrong with the following equation:
$y = 2|x-3| + 1$
So, to graph, I assumed on finding the x-intercept and y-intercept.
Set... | 4 | [
-0.047119140625,
-0.107421875,
-0.035400390625,
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0.0260009765625,
0.00933837890625,
0.03515625,
0.01275634765625,
-0.138671875,... | 40,145 | 40145 | |
Self Similar Sloth Canon Number Sequences
From Tune Smithy
See also: Tune Smithy Melodies for other sequences in the OEIS
The Danish composer Per Nørgård uses an endless self similar (fractal like) strict sloth canon structure in some of his compositions such as his Symphony number 2. He first discovered his sequenc... | 4 | [
-0.06396484375,
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0.0012359619140625,
0.020263671875,
-0.09716796875,
-0.05810546875,
-0.04345703125,
-0.01055908203125... | 40,146 | 40146 | |
Double line integrals
July 5th 2010, 01:32 PM #1
Newbie
Joined
May 2010
Posts
5
Double line integrals
Hey, I'm trying to solve the following double line integral:
$<br /> \int_{L_1}\int_{L_2} f(\textbf{x},\textbf{y})dsdl,<br />$
where $ds$ and $dl$ denote the line elements and the vector-valued... | 4 | [
-0.0264892578125,
-0.07373046875,
-0.0181884765625,
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-0.033935546875,
-0.0299072265625,
0.154296875,
-0.01153564453125,
... | 40,147 | 40147 | |
Tree Recursion
Next: Orders of Growth Up: Procedures and the Processes Previous: Linear Recursion and Iteration
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 tw... | 5 | [
-0.0888671875,
-0.004791259765625,
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0.0107421875,
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-0.039794921875,
-0.1279296875,
-0.015991... | 40,148 | 40148 | |
Chances of Winning a Raffle
Date: 15 Feb 1995 20:50:06 -0500
From: Anonymous
Subject: Re: probability problem
Dear Dr. Math:
I have a problem with probability that I can't seem to solve. In
fact, I don't know how to approach it.
There is a concert and tickets are to be raffled off. There are
3500... | 5 | [
0.0194091796875,
0.02099609375,
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-0.029541015625,
0.0027313232421875,
0.040771484375,
-0.12353515... | 40,149 | 40149 | |
Plz help confused
May 11th 2007, 01:51 PM
JayJay1206
Plz help confused
My some one plz help I confused in this problem I thnk I did it wrong.
If so where did I go wrong.
A triangular prism has a height of 12 m. What is the surface area of the prism if its bases are right triangles w/ legs 3 meters and 4... | 4 | [
0.00714111328125,
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-0.036865234375,
... | 40,150 | 40150 | |
Is the complete lattice of inflators on a frame a frame?
up vote 2 down vote favorite
Yup, it may sound like an inocent question to many of you; but a very good friend of mine is completely baffled in his research about lattices of inflators on a frame. He asked me very kindly to post
this on his behalf and here it is... | 5 | [
-0.030029296875,
-0.01141357421875,
-0.0260009765625,
-0.04736328125,
0.052978515625,
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0.08349609375,
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0.041259765625,
0.0201416015625,
-0.0234375,
0.029541015625,
-0.0073852... | 40,151 | 40151 | |
Trig please Help!
June 17th 2009, 11:14 PM #1
Senior Member
Joined
Apr 2009
Posts
253
Trig please Help!
Convert each degree measure to radians. Give answers to the nearest hundredth of a radian.
1. 112 degrees
2. 252.5 degrees
3. 210 degrees 35'
Convert each radian measure to degrees. Gi... | 4 | [
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-0.011474609375,
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-0.0244140625,
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0.06787109375,
-0.07080078125,
-0.0020904541015625,
0.02734375,
... | 40,152 | 40152 | |
Probability and Pascal's Triangle
Date: 06/04/98 at 22:27:07
From: Teresa Ramirez
Subject: Probability (Pascal's Triangle)
How do I find the probability of getting 3 heads and 2 tails using
Pascal's Triangle?
Date: 06/05/98 at 00:03:14
From: Doctor Pat
Subject: Re: Probability (Pascal's Triangle)
Teresa,
Pascal'... | 4 | [
0.00142669677734375,
0.048828125,
-0.00274658203125,
-0.020263671875,
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0.01043701171875,
0.0703125,
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-0.0257568359375,
0.08251953125,
-0.000537872314453125,
-0.058837890625,
-0.0029144... | 40,153 | 40153 | |
Area of Intersection of Two Circles
Date: 12/1/95 at 20:44:45
From: Anonymous
Subject: Area of intersection of circles
My teenage son asked me for the formula for the area of
intersection of two arbitrary circles,
center (x0,y0), radius r0
center (x1,y1), radius r1
I do not know the answer. Can you help me?
Than... | 4 | [
0.078125,
0.02392578125,
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0.0654296875,
-0.0478515625,
-0.031982421... | 40,154 | 40154 | |
Need algebra help.
July 24th 2005, 11:12 AM
Cyberman
Need algebra help.
{ 3/4x + 2/3y = 7
{ 3/5x - 1/2y = 18
I'm suppose to find out what x and y are.
the answer from the book is:
(20,-12)
I think my problem here is trying to take the fractions and turn them into regular numbers. Maybe t... | 4 | [
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0.04736328125,
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0.01361083984375,
0.0673828125,
-0.006134033203125,
0.045166015625,
-0.0490722... | 40,155 | 40155 | |
A few quick questions!
January 20th 2009, 02:42 PM
Sculthorp
A few quick questions!
Hey! A few questions here:
1) Find the equation of the tangent line to the parabola y=6-5x+3x^2 at the point where x=1. I got y=x+3... but the book says y=x+2.
2) Fine the equation of both tangent lines to the curve y=x... | 4 | [
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0.057373046875,
-0.1513671875,
-0.05810546875... | 40,156 | 40156 | |
Math Forum Discussions
Re: Bilinear forms and reflexivity
Posted: Dec 26, 2011 11:30 PM
In article <MPG.29631200b93dc448989a07@news.cc.tut.fi>, Kaba
<kaba@nowhere.com> wrote:
> Paul Sperry wrote:
> > > Since B is non-degenerate, u * u != 0, forall u != 0. Thus
> > >
> > > forall u != 0, v: u * v = v * u.
> >
> > For ... | 4 | [
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Resolution of a free lie algebra as a module over its universal enveloping algebra.
up vote 1 down vote favorite
Let $L=L(V)$ be a free Lie algebra on a vector space $V$ and $A=T(V)$ the tensor algebra. Make $L$ into a module over $A$ consistent with the formula $a\cdot \alpha=[a,\alpha]$ for $a\in V$ and $\
alpha\in ... | 4 | [
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0.025390625,
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-0.08544921875,
0.08056640625,
-0.... | 40,158 | 40158 | |
Centroid - Center of Gravity
Date: 03/25/2002 at 13:52:54
From: Jack Grahl
Subject: Unique centre of gravity of a triangle
Dear Dr(s). Math,
I would like you to help me understand a result I have been puzzling
over:
In a problem involving triangles (actually a problem involving cutting
an irregular shape into two)... | 5 | [
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0.003936767578125,
-0.04345703125,
-0.04... | 40,159 | 40159 | |
Trig Functions
December 1st 2007, 06:09 PM #1
Member
Joined
Aug 2007
Posts
182
Trig Functions
I was wondering if someone could please take a look at my numbers 12 and 21...I need to simplify them so that the right and left sides are equal...but I am stuck on these final two
problems...could anyone pl... | 4 | [
-0.06298828125,
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... | 40,160 | 40160 | |
A non-trivial property of all groups
up vote 23 down vote favorite
13
This question appeared in my answer to this question, but it seems to be interesting in itself. Let $G$ be an infinite finitely generated group, $\epsilon\gt 0$. Is there a finite subset $S\subset G$
such that every subset of $S$ with at least $\eps... | 5 | [
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0.01708984375,
... | 40,161 | 40161 | |
Math Help
June 12th 2007, 01:22 AM #1
Junior Member
Joined
Apr 2007
Posts
32
hard!
can u help me solve this question
If xcos θ + y sinθ = a cos 2θ and;
xsinθ - ycos θ = 2a sin 2θ
prove that (x+y)2/3 + (x-y)2/3 = 2a2/3
Hello, calculus_jy!
This is The Problem from Hell . . . (coming... | 5 | [
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Which polynomials arise as formulas for a conjugate
up vote 9 down vote favorite
4
For any integer $r \geq 2$, et $V_r$ be the set of polynomials $Q \in {\mathbb Q}[X]$ of degree $r-1$ such that there is an algebraic number $\alpha$ of degree $r$ , such that $Q(\alpha)$ is a
conjugate of $\alpha$. It is not hard to se... | 5 | [
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-0.03076171875,
0.00254... | 40,163 | 40163 | |
Radius of convergence and interval of convergence
May 30th 2013, 06:39 PM #1
Radius of convergence and interval of convergence
(a) Write down the Maclaurin series for $\dfrac{1}{1-x}$. What it it's radius of convergence?
(b) Write down the Maclaurin series for $\dfrac{1}{1+x}$
(c) Use (b) to find the ... | 5 | [
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-0.0712890625,
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0.0186767578125,... | 40,164 | 40164 | |
Weighted area of a Voronoi cell
up vote 10 down vote favorite
1
Let $X = \{ x_1,\dots,x_n\} $ denote a set of $n$ points in the unit square $S = [0,1]\times[0,1]$, and let $w = \{w_1,\dots,w_n\}$ denote a set of weights corresponding to the $n$ points in $X$.
Define the "power diagram" of $X$ in $S$ to be a partition ... | 5 | [
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-0.009826660156... | 40,165 | 40165 | |
prove Digital line is not hemeomorphic
Prove that the digital line in not homeomorphic to Z with the finite complement topology
If two topological spaces are homeomorphic to each other, they share the same topological invariants, such as connectedness, compactness, Hausdorffness, and homotopy groups. That means if one... | 4 | [
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-0.041015625... | 40,166 | 40166 | |
Pullback-stability of internally projective objects
up vote 10 down vote favorite
1
An object $X$ of a category $C$ is said to be projective if the hom-functor $C(X,-)$ preserves epimorphisms (or, in general, some restricted class of epimorphisms such as the regular or effective
ones). The axiom of choice is equivalen... | 5 | [
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0.0028686... | 40,167 | 40167 | |
Factoring Polynomials
Date: 11/14/96 at 17:37:34
From: John Cairns
Subject: Factoring Polynomials
I am a freshman in high school in an Algebra II course. I don't have
a specific problem that I need help with. Instead, I need help with
the concept of factoring. I keep trying to think of some logical way
to deduce ... | 4 | [
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0.02331... | 40,168 | 40168 | |
Computer package for representation theory of the symmetric group
up vote 18 down vote favorite
8
Is there a computer algebra package in which I can compute the following for representations of a specific symmetric group (e.g. $S_7$):
(1) $V \otimes W$
(2) $S_\lambda V$, where $S_\lambda$ is a Schur functor, or even... | 5 | [
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0.0751953125,
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0.0546875,
0.007659912109375,
0.0268554... | 40,169 | 40169 | |
Math Help
August 13th 2009, 03:20 AM #1
Senior Member
Joined
Jan 2009
Posts
381
trigo(2)
Find for all 0<=x<=90 , the least and most value of
$\frac{1+cosx}{1+2sinx+2cosx}$
Am i supposed to do it like this :
For most value :
$\frac{1+1}{1+2(1)+2(1)}=\frac{2}{5}$
and just substitu... | 4 | [
-0.07470703125,
0.0908203125,
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0.080078125,
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0.0908203125,
-0.004913330078125,
-0.06298828125,
0.02978515625,
-0.019... | 40,170 | 40170 | |
Structural Analysis Equations
Chapter 8 Structural Analysis Equations
Lawrence A. Soltis
Contents
Bending 8–1 Torsion 8–4
Deformation Equations 8–1 Axial Load 8–1
Combined Bending and Axial Load 8–3 Stress Equations 8–4 Axial Load 8–4 Bending 8–4
quations for deformation and ... | 5 | [
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0.0274658203125,
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0.020263671875,
-0.10205078125,
0.0595703... | 40,171 | 40171 | |
The Polyhedron Formula and the Birth of Topology
This file is also available in Adobe Acrobat PDF format
INTRODUCTION
Philosophy is written in this grand book—I mean the universe—which stands continually open to our gaze, but it cannot be und... | 4 | [
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-0.... | 40,172 | 40172 | |
LAst one i Promise.....:D
April 25th 2007, 04:28 PM
MathNeedy18
LAst one i Promise.....:D
:o http://webwork1.math.utah.edu/math10...3-prob6-p6.gif
I can't figure out the formula for this graph. So far i have this:
2sin(3x+2)
I can find the amplitude just fine, i think i can find period, but please ... | 4 | [
-0.10302734375,
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0.0186767578125,
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0.0224609375,
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0.05126953125,
0.060302734375,
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0.01129150390625,
0.08544921875,
0.0120849609375,
-0.05908203125,
-0.0164794... | 40,173 | 40173 | |
exponential object
Context
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Monoidal categories
With symmetry
With duals for objects
With duals for morphisms
With traces
Closed structure
Special sorts of products
Semisimplicity
Morphisms
Examples
Theorems
In higher cat... | 4 | [
-0.0238037109375,
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0.0230712890625,
0.024... | 40,174 | 40174 | |
Can someone help me fast?
April 27th 2005, 04:17 AM
island_chic
Can someone help me fast?
I need help answering these problems. If anyone can help me it would be greatly appreciated! Thank you!
Solve the Equation
1.x^2/3+5X^1/3+4+0
A.plus or minus 3i and plus or minus square root of 3
B. 3, squa... | 4 | [
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0.0247802734375,
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-0.042236328125,
... | 40,175 | 40175 | |
Ordinary Differential Equations - tough IVP
September 23rd 2008, 11:57 AM #1
Newbie
Joined
Sep 2008
Posts
9
Hi, I am supposed to solve the following initial value problem but am stuck with an ugly integral:
y' =
I have worked it out as follows:
dy/dt =
dy/(y-y
But how do you... | 5 | [
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0.05859375,
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0.02294921875,
-0.034423828125,
-0.031005859375... | 40,176 | 40176 | |
EXAMPLE-INDUCTION-SCHEME-WITH-ACCUMULATORS
induction scheme with accumulators
Major Section: INTRODUCTION-TO-THE-THEOREM-PROVER
See logic-knowledge-taken-for-granted-inductive-proof for an explanation of what we mean by the induction suggested by a recursive function or a term.
To prove (p x a) for all x and all a... | 4 | [
-0.04931640625,
0.0189208984375,
0.06103515625,
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0.00738525390625,
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0.03515625,
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0.0859375,
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0.08203125,
-0.0242919921875,
0.018310546875,
0.049072265625,
-0.01483154296875,
0.09912109375... | 40,177 | 40177 | |
challenge set for solving trig equations
September 3rd 2010, 04:45 AM #1
Member
challenge set for solving trig equations
a) Cross multiply, expand, move everything to one side, factorise and solve.
b) Multiply both sides by $\tan{x}$ to get $\tan^2{x} = 1$. Solve.
Hello, aeroflix!
$(3)\;\;\cot^{\... | 5 | [
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-0.0164794921875,
-0.01409912109375... | 40,178 | 40178 | |
Help with Laurent Series
July 5th 2010, 11:46 AM #1
Newbie
Joined
Jul 2010
Posts
6
Help with Laurent Series
I'm trying to construct Laurent series around $z = 0$ and $z= \infty$ for $f(z) = 1/{z-2}$ with $z_{0} = 2$ the only pole of this function.
I have $f(z) = \sum_{n=-\infty}^{\infty}a_{n}(z-c)^n... | 4 | [
-0.11474609375,
-0.0306396484375,
0.0115966796875,
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0.083984375,
-0.0260009765625,
0.0260009765625,
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-0.015869140625,
-0.0791015625,
-0.0203857421875,
0.039794921875,
-0... | 40,179 | 40179 | |
help with Word Problems?
I have tried really hard to get started on these, but I am completely lost...could anyone please help me get started? http://i103.photobucket.com/albums/m...titled2222.jpg
Hello, to #37: Plug in the given values: $A(60)=500 \cdot e^{-0,013 \cdot 60} \approx 229.2$ Plug in the given values and ... | 5 | [
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0.0223388671875,
... | 40,180 | 40180 | |
There are n horses. At a time only k horse can run in the single race. How many minimum races are required to find the top m fastest horses?
up vote 23 down vote favorite
5
There are n horses. At a time only k horse can run in the single race. How many minimum races are required to find the top m fastest horses? Pleas... | 5 | [
-0.0001811981201171875,
0.046142578125,
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0.10498046875,
-0.... | 40,181 | 40181 | |
Why does the harmonic series diverge?
My Precalculus students have been asking me this question. I don’t really have a great answer, except that it’s true. Granted it’s not very intuitive. But nothing about infinite series is intuitive.
For those not in my class or not familiar with the harmonic series, the question i... | 5 | [
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0.0771484375,
-0.087890... | 40,182 | 40182 | |
On statements provably independent of ZF + V=L
up vote 3 down vote favorite
Are there any known statements that are provably independent of $ZF + V=L$? A similar question was asked here but focusing on "interesting" statements and all examples of statements given in that
thread are not provably indepedent of $ZF + V=L... | 4 | [
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0.01501464... | 40,183 | 40183 | |
right triangle trig
August 1st 2010, 04:32 PM #1
Junior Member
Joined
Aug 2010
Posts
49
right triangle trig
ok so in this problem..
i am told to solve for all sides and angles in the right triangle
so the bottom side of the triangle is 6.2 in length
and all the other sides are unknown
in ... | 4 | [
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Testing if a property belongs to all members of a set without trying each one
December 31st 2009, 02:32 PM #1
Newbie
Joined
Aug 2009
Posts
19
Testing if a property belongs to all members of a set without trying each one
Assume the following assertions:
$a$, $b$ and $c$ are positive integers.
$b... | 4 | [
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Domain, Asymptotes, Intercepts of a Function
Date: 04/01/2003 at 22:33:31
From: Tom
Subject: Calculus
Hi,
Consider the function: f(x)=x(x-12)(x+17)(x-8) divided by (x+4)
1) What is the domain of this function?
What asymptotes does your function have?
What are the x and y intercepts of your function?
2) Write ... | 4 | [
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-0.0... | 40,186 | 40186 | |
What is known about the intersection pairing on H^{mid}?
up vote 5 down vote favorite
When we restrict to the torsion-free part of the cohomology of a manifold, the intersection pairing is nondegenerate. In dimension 2n, this gives a bilinear form on the free part of H^n (symmetric if
n is even, skew-symmetric of n is... | 4 | [
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Using a Bounded Prime Sieve Algorithm to Generate Infinite Prime Number Lists
Generators and Streams
Arguably, one of the most elegant ways of representing a recursively enumerable set such as the set of prime numbers in a computer program is as an enumeration, or, as some might call it, a
generator. A generator, simp... | 4 | [
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showing the identity in multiplication mod n only exists with gcd =1
November 9th 2009, 06:11 PM
ChrisBickle
showing the identity in multiplication mod n only exists with gcd =1
Ok so we defined multiplication mod n and the question is, Let a element of Zn there exists b element Zn such that a * b = 1 iff gcd(a,... | 5 | [
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Graph sketching, continuity, differentiation - Is this right?
September 14th 2008, 12:46 PM #1
Newbie
Joined
Sep 2008
Posts
12
Graph sketching, continuity, differentiation - Is this right?
(I would appreciate either an explanation as to how to solve the problems, or the correct answer so I could figure o... | 4 | [
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Is there a notation for the symmetric / antisymmetric subspaces of a tensor power that distinguishes them from the symmetric / exterior power?
up vote 5 down vote favorite
4
Let $V$ be a finite-dimensional vector space over a field $k$, say of characteristic $0$. The symmetric group $S_n$ acts on the tensor power $V^{... | 4 | [
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... | 40,191 | 40191 | |
Connectedness principle in algebraic geometry
up vote 3 down vote favorite
4
What is the most general version of the connectedness principle in algebraic geometry? In particular, I'm interested in cases where there is no field available (eg, $Y$ below is the spectrum of
something like $\mathbb{Z}_p$), or if it is then... | 4 | [
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Transformation raised to power
December 22nd 2011, 05:28 PM #1
Junior Member
Joined
Jun 2011
Posts
45
Transformation raised to power
This problem comes from our Final Review. It states:
Suppose V is a vector space over a field F, and T: V-->V is a linear map. Suppose also that, for a vector v in V, ... | 5 | [
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0.0... | 40,193 | 40193 | |
Rate time distance
October 14th 2012, 10:15 AM #1
Newbie
Joined
Oct 2012
From
Illinois
Posts
3
Rate time distance
An elevator went from the bottom to the top of a 240 m tower, remained there for 12 seconds, and returned to the bottom in an elapsed time of 2 minutes. If the elevator traveled 1 m/s fas... | 4 | [
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0.058349609375... | 40,194 | 40194 | |
Does equality of Hodge star and symplectic star imply Kähler structure?
up vote 3 down vote favorite
5
Question
The question asked is:
On a manifold $M$ equipped with a Riemann metric $g$ and a symplectic structure $\omega$, with $\ast$ the Hodge star and $\ast_s$ the symplectic star, does $\ast=\ast_s$ iff $(M,... | 5 | [
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Volume of Rectangular Prisms
10.10: Volume of Rectangular Prisms
Created by: CK-12
Practice Volume of Rectangular Prisms
Have you ever had a job with many tasks?
One of the tasks that Candice and Trevor have is to fill boxes with packing peanuts when wrapping something that is fragile. The boxes can hold a good amo... | 4 | [
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Laurent series
April 2nd 2009, 10:29 PM
krindik
Laurent series
Hi i'm new to this forum. I have a question with Laurent series.
Found below in an Eng Math text
z^2 * exp(1/z)
= z^2 * (expansion of exp(z), replacing z with 1/z )
However, as I understand eventhough exp(z) is entire (analytic
... | 4 | [
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B-Splines
Module
for
Cubic spline construction using the B-spline function.
Under special circumstances a basis set of spli... | 4 | [
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-0.01928710937... | 40,198 | 40198 | |
.
1. ELEMENTARY MECHANICS
This lecture applies elementary mechanics to an expanding universe. Attention is given to puzzles such as the role of boundary conditions and conservation laws.
1.1. Newtonian dynamics in cosmology
For a finite, self-gravitating set of mass points with positions r[i](t) in an otherwise emp... | 4 | [
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