content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Critical points
December 7th 2011, 10:24 PM #1
Junior Member
Joined
Jan 2009
Posts
74
Critical points
Hello,
Can someone show me how to find the critical points for the function f(x)=x^2*e^(-5x^2)?
I appreciate your help! Thank you!
Re: Critical points
Find f'(x) using the product rule, t... | 5 | [
-0.005950927734375,
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-0.010986328125,
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0.0103759765625,
0.032958984375,
0.034912109375,
0.12451171875,
-0.00958251953125,
0.0732421875,
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0.04150390625,
0.021484375,
-0.0030975341796875,
-0.052246... | 41,300 | 41300 | |
The conditions in the definition of Brownian motion
up vote 9 down vote favorite
4
A (standard, real-valued) Brownian motion $W = \{W(t): t \geq 0\}$ is commonly defined by the following properties: 1) $W(0) = 0$ a.s., 2) the process has independent increments, 3) for all $s,t \geq
0$ with $s<t$, the increment $W(t) –... | 5 | [
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-0.01416015625,
-0.015625,
-0.00433349609375,
0.038330078125,
-0.0... | 41,301 | 41301 | |
Homework Help
Posted by Meranda on Saturday, January 17, 2009 at 4:21pm.
A large birthday cake was baked to celebrate the 6th birthday of Mimi. It was a round cake, made of two layers of vanilla cake; each layer was 18 inches in diameter and 3.5 inches tall. Between the
two layers was a quarter inch of chocolate frost... | 4 | [
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-0.05029296875,
0.05810546875,
-0... | 41,302 | 41302 | |
Morphisms $\mathrm{SL}_n(\mathbb Z) \to \mathrm{SL}_m(\mathbb Z)$
up vote 5 down vote favorite
1
From a result Obtained by O. Schreier and B. L. van der Waerden [Math. Sem. Univ. Hamburg 6, 303- 322 (1928)], one can show that for two fields $\mathbb F$ and $\mathbb G$, and integers $n>m>2$, the
only group homomorphism... | 5 | [
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0.05664062... | 41,303 | 41303 | |
Find Polynomial from properties
July 13th 2010, 01:27 AM #1
Newbie
Joined
Jul 2010
Posts
1
Hello,
I'm preparing for my final exams and I got stuck in a question concerning differentiation:
Let p(x) be a polynomial of degree four whose graph touches the x-axis at the origin and has a horizontal p... | 4 | [
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0.050048828125,
0.0244140625,
0.0478515625,
0.083984375,
-0.078125,
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0.03662109375,
0.0262451171875,
0.04443359375,
-0.059814453125,
-0.06030273437... | 41,304 | 41304 | |
Sum of Rational and Irrational Is Irrational
Standard(s) for Mathematical Practice (MP)
MP 3 Construct viable arguments and critique the reasoning of others.
MP 7 Look for and make use of structure.
MP 8 Look for and express regularity in repeated reasoning.
Grade Level
Grades 8–9
Content Domain
The Real Number Sy... | 4 | [
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0.02587890625,
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0.0220947265625,
-0.04541015625,
-0.0059814453125,
0.0507812... | 41,305 | 41305 | |
Parabola and Line Intersection Points
March 14th 2009, 10:29 PM #1
Junior Member
Joined
Dec 2007
Posts
59
Parabola and Line Intersection Points
Here is the problem:
A graphic designer draws a logo involving a parabola ‘sitting’ in a V shape on a set of axes as shown at right.
Find the equatio... | 4 | [
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0.061279296875,
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0.068359375,
-0.08154296875,
... | 41,306 | 41306 | |
Word problem help, linear function (probably!)
June 21st 2012, 03:30 AM #1
Newbie
Joined
Jun 2012
From
Stockholm
Posts
7
Word problem help, linear function (probably!)
The word problem goes like this:
It takes some people 2 hours to row up a river (6,4 km long) and back again (so total distance ... | 4 | [
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Derivative of a Constant help
February 22nd 2008, 08:37 PM #1
Derivative of a Constant help
Given that f(3) = -5, f '(3) = -2, g(3) = -2, and g'(3) = 3.
Find h'(3) for:
(a) h(x) = 2f(x) - 5g(x)
(b) h(x) = f(x)g(x)
(c) h(x) = f(x)/g(x)
(d) h(x) = g(x)/(2 + f(x))
As far as I know, the ... | 5 | [
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0.0305175... | 41,308 | 41308 | |
Divergence Theorem
October 3rd 2011, 10:08 AM
Markov
Divergence Theorem
Let $S$ the surface $x^2+y^2-(z-6)^2=0$ for $3\le z\le 6.$ Graph $S$ and graphically indicate an orientation for $S$ and compute the whole flux through $S$ of the field $\bold F(x,y,z)=(x(3-z),y
(3-z),(3-z)^2).$
I can apply the dive... | 4 | [
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0.005828857421875,
-0.075195... | 41,309 | 41309 | |
Converging sequence
July 19th 2012, 09:54 AM
Ragnarok
Converging sequence
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.
$a_n = \left(1 + \frac{1}{n^2}\right)^n$
I was never very good at limits. I know that the limit of $\lef... | 5 | [
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0.0152587890625,
-0.0078125,
-... | 41,310 | 41310 | |
Expected Profit
March 21st 2011, 06:24 PM #1
Newbie
Joined
Nov 2008
Posts
16
Expected Profit
Sorry, I already asked a question today, but it would be awesome if someone could help me with this one, I feel like I'm close:
The annual profit Y(in $100,000) can be expressed as a continuous function of d... | 4 | [
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... | 41,311 | 41311 | |
Predicate logic - Tautology?
March 9th 2009, 02:01 AM #1
Predicate logic - Tautology?
I'm struggling a bit with these formulas, whether they are tautologies or not;
1) $\forall x P(x) \wedge \exists x (P(x) \to Q(x)) \to \forall x Q(x)$
2) $\exists y \forall x R(x,y) \to \forall x \exists yR(x,y)$
... | 5 | [
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spherical
September 5th 2008, 06:26 AM #1
Super Member
Joined
Jun 2008
Posts
829
spherical
Doubts with the response
To determine the equation of the sphere that passes in A and B, and has straight center in s
$A(0,4,3)$$B(1,1,-5)$
(s):
$x=z+2$
$y=z-3$
My solution:
For the st... | 4 | [
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Help in Interval of convergence problems!
June 14th 2008, 08:48 PM #1
Q1) I need help in finding the open interval of convergence for the series..
--- [(k!) (x^k)] / (k^k) ........when k goes from 1 to infinity..Note: do not examine convergence at the endpoint of the interval.
Q2) Find all the values of... | 5 | [
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0.0264892578125,
... | 41,314 | 41314 | |
a set is infinite iff there is a bijection between it and a proper subset
June 3rd 2009, 01:40 PM #1
Newbie
Joined
Jun 2009
Posts
2
a set is infinite iff there is a bijection between it and a proper subset
I've been trying to prove that a set S is infinite if any only if there is a proper subset S' and a... | 5 | [
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Mathematical Induction
December 13th 2010, 07:59 PM
Cthul
Mathematical Induction
http://209.85.48.8/9963/162/upload/p2223772.jpg
My friend needs help and requires this work to be done by today. I hope it won't trouble anyone to elaborate how to do so.
EDIT: Where it says $2^{2}$, it's supposed to be $2^{... | 4 | [
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"inversion" of a convolution
up vote 6 down vote favorite
2
I have the following relation:
$$ \sum_{d|n} (1+1/x)^{d-1} F_{n/d}(x^d)=L_n(x) $$
where the right hand side is (for every $n$) a polynomial in $x$, which I have an expression for, but it's not extremely beautiful. The family of polynomials $F_k(x)$ is unkno... | 4 | [
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Someone please help me with this seemingly geometric series
May 4th 2010, 10:07 AM
s3a
Someone please help me with this seemingly geometric series
Question:
To show that the following
http://www.wolframalpha.com/input/?i=sum+of+(k*(2%2F3)^k)+from+1+to+inf
is convergent conditionally or absolutely.
... | 5 | [
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Inequalities
CHAPTER 3
Functions, Equations, and
Inequalities
Section 3.5 - Inequalities
for values of x in which everything is defined
Example: If -3x < 15 then …
x > -5
If a function f is always either increasing or
decreasing (not both)... | 5 | [
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-0.0296... | 41,319 | 41319 | |
Abstract AST
February 25th, 2010
Countdown Problem is a game from the UK TV described in the following link (PDF). Basically, giving a set of numbers and a single number, you have to use the arithmetic operation to build a
expression of the given numbers (in any subset and order) , that evaluate to the specified numbe... | 4 | [
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... | 41,320 | 41320 | |
Two Questions (MCQ) on Doppler Effect in Sound
You will find the formulae to be remembered in connection with Doppler effect and some useful multiple choice questions (with solution) on Doppler effect at this location on this site.
[If you want all questions on Doppler effect on this site, you may click on the label ‘... | 4 | [
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Volume 4,
Volume 4, Issue 4, April 1963
•
View Description Hide Description
A generalization of axiomatic perturbation theory is described in which propagator structure is introduced into the basic formalism, effectively resulting in a systematic rearrangement of the
perturbation expressions represent... | 4 | [
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0.042480... | 41,322 | 41322 | |
Branch locus along a smooth curve
up vote 4 down vote favorite
Let $f : S \to X$ be a dominant morphism of smooth complex compact surfaces. Let $C \subset S$ be a smooth curve such that $df$, seen as a map from $T_S \to T_X$, is generically of rank $1$ along $C$
and that in a neighborhood of $C$, $df_x$ is an isomorph... | 5 | [
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Gamma-Ray Bursts and the Fireball Model - Tsvi Piran
7.3. Angular Variability and Other Caveats
In a Type-I model, that is a for a shell satisfying R[E] / [E]^2, variability is possible only if the emitting regions are significantly narrower than [E]^-1. The source would emit for a total
duration T[radial]. To estimat... | 4 | [
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-0.009704... | 41,324 | 41324 | |
Integration by parts and recursion formula
September 9th 2012, 09:26 AM #1
Junior Member
Joined
Aug 2012
From
Texas
Posts
48
Integration by parts and recursion formula
I'm supposed to convert the even powers of tangent to secant using a recursion formula, repeatedly if necessary, and then evaluate.
... | 5 | [
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0.08544921875... | 41,325 | 41325 | |
puzzles plz solve
February 28th 2006, 01:14 AM
bharathlece
puzzles plz solve
Q1.Tanveer and Kunal went down a descending escalator. the escalator was going down at a constant speed. Kunal walked down the steps and had cover 50 steps to reach the bottom. Tanveer on the
other hand, ran down the steps of the es... | 4 | [
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-0.0578613... | 41,326 | 41326 | |
In relation to exponential and logarithmic functions, create a function that has the following key features (show... - Homework Help - eNotes.com
In relation to exponential and logarithmic functions, create a function that has the following key features (show all work in forming function to model features):
* Increasi... | 4 | [
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0.0517578125,
0.080078125,
0.07763671875,
0.048095703125,
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-0.083... | 41,327 | 41327 | |
Clique weight-optimal matchings on n-partite graphs.
up vote 7 down vote favorite
1
I am trying to analyze the results of a physical experiment consisting of $n$ "runs" of measurements, each of which generates a set of $k$ points in Euclidean space. The following problem came up
when trying to quantify the difference ... | 4 | [
-0.046142578125,
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... | 41,328 | 41328 | |
Irreducible components of reduced complete intersection
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $Z$ be an irreducible and reduced scheme. Does there exist a reduced complete intersection $Y$ such that $Z$ is ... | 5 | [
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0.054687... | 41,329 | 41329 | |
Math Forum: Ask Dr. Math FAQ: Fast Food Combinations
For a basic review of concepts, see Permutations and Combinations.
Fast Food Combinations: How many possible combinations can be made from a special menu of eight items?
Several contributors noticed ... | 4 | [
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mathschallenge.net
Two Squares
Problem
Given that $n$ is a positive integer and $2n+1$ and $3n+1$ are perfect squares, prove that $n$ is divisible by 40.
Solution
Clearly $2n+1$ is odd, so let $2n+1 = (2k + 1)^2 = 4k^2+4k+1 \implies n = 2k(k+1)$
As exactly one of $k$ or $k+1$ is even, we deduce that $n$ is divisib... | 5 | [
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0.055664062... | 41,331 | 41331 | |
Multi-variable limit proof using delta and epsilon
February 23rd 2010, 08:11 PM
dyllusionist
Multi-variable limit proof using delta and epsilon
Hi,
I am trying to create a proof that the limit as (x,y) approaches (1,0) of x + 2y is equal to 1. I have researched online and read my textbook over and over agai... | 5 | [
0.01312255859375,
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0.005157470703125,
-0.... | 41,332 | 41332 | |
Equation of locus of two tangents
October 13th 2009, 10:47 PM #1
Senior Member
Joined
Jul 2009
From
Singapore
Posts
338
Equation of locus of two tangents
If the normal at $P(ap^2,2ap)$ to the parabola $y^2=4ax$ meets the curve again at $Q(aq^2,2aq)$ prove that $p^2+pq+2=0$. Prove that the equation of... | 4 | [
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0.076... | 41,333 | 41333 | |
Inequality Involving Triangle Area and Sides
Date: 05/11/2003 at 21:14:26
From: Bobby
Subject: Area of triangles
Prove that for any triangle with sides a, b, and c and area A,
a^2+b^2+c^2 greater or equal to (=>) 4sqrt(3)A
I have found for an equilateral triangle that the inequality is equal
to 4sqrt(3)A.
I want ... | 5 | [
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0.004364... | 41,334 | 41334 | |
new to calculus--test monday--limits
January 31st 2009, 09:49 AM #1
Newbie
Joined
Jan 2009
Posts
18
new to calculus--test monday--limits
the limit as x approaches infinity of the square root of (4x^2 + 1)/8x + 7 equals....
This is what I have before I get lost...
1) I multiply by the conjugate ... | 4 | [
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-0.0... | 41,335 | 41335 | |
Area of triangle with side lengths 8, 10, 12
January 25th 2006, 08:52 PM #1
Newbie
Joined
Jan 2006
Posts
4
Area of triangle with side lengths 8, 10, 12
How do you find the area of a triangle with side lengths of 8, 10, and 12? Reply within 24 hours after midnight tomorrow, I will go to bed so don't bothe... | 4 | [
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0.0054... | 41,336 | 41336 | |
Patent US5949916 - Modified automatic regressive filter and filtering method therefor
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an automatic regressive (AR) filter and a filtering method thereof, and particularly, to an AR filter which functions as an adaptive filter in a ... | 4 | [
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0.039794921875... | 41,337 | 41337 | |
How To Do Trigonometry For This...?
January 10th 2009, 05:31 PM
AlphaRock
How To Do Trigonometry For This...?
I know how to do cos(5pi/6) and any question like it.
But I don't know how to do sin, cos, tan, csc, cot, sec, of angles like 0 (0pi/12), 90 (3pi/12), 180 (6pi/12), 270 (9pi/12), 360 (12pi/12), 450 ... | 4 | [
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-... | 41,338 | 41338 | |
Circle Geometry
October 7th 2008, 12:52 AM
xwrathbringerx
Circle Geometry 2
Points A,B and C lie on a circle. The length of the chord AB is a constant k. Let angle ACB = a degrees and angle ABC = b degrees.
i) Why is a degrees always constant?
ii) How does the sum of the lengths of the chords AC and BC... | 4 | [
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0.02319335... | 41,339 | 41339 | |
MATLAB
2-D Cross-Correlation
The 2-D cross-correlation of an M-by-N matrix X and a P-by-Q matrix H is a matrix C of size M+P–1 by N+Q–1 given by
where the bar over H denotes complex conjugation.
The output matrix, C(k,l), has negative and positive row and column indices. A negative row index corresponds to an upwar... | 5 | [
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-0.03442382812... | 41,340 | 41340 | |
hw2
Differential Equation Answer
1—3
dy
4. t 1
... | 5 | [
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0.036865234375,
-0.1650390625,... | 41,341 | 41341 | |
BEATCALC
Squaring Numbers
Multiplying Numbers
Dividing Numbers
Adding Numbers
Subtracting Numbers
Finding Percents
Calculation
Pr... | 4 | [
0.01287841796875,
0.0284423828125,
0.00628662109375,
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0.063... | 41,342 | 41342 | |
For those that never learned well the epsilon-delta proofs
May 3rd 2014, 02:42 PM
nycmath
Re: For those that never learned well the epsilon-delta proofs
I know that direct and indirect geometric proofs using the statement vs reason chart are not taught in most high schools across the USA. They cover the basics o... | 5 | [
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... | 41,343 | 41343 | |
4 ?'s Help Me Please!!!
Quote: Originally Posted by Lane 1. Find the 3 cofactors of the second row of: $<br /> A=\left [ \begin{array}{ccc}<br /> {-7}& {-5}&{6}\\<br /> {9}& {4}&{-3}\\<br /> {8}&{-1}&{2}<br /> \end{array} \
right]<br />$ The cofactor $C_{i,j}$ is $(-1)^{i+j}$ times the determinant of the matrix obtaine... | 5 | [
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0.020751953125,
-0.0336914062... | 41,344 | 41344 | |
Countably Compact Sets
August 27th 2013, 01:26 PM
Aryth
Countably Compact Sets
I'm working on this problem, and I'm not sure how to solve it.
Let $(X,\Omega)$ be a topological space and let $A \subseteq X$ be countably compact. Prove that every subset of $A$ that is closed relative to $\Omega$ is also count... | 5 | [
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-0.044677734375,
-0.07373046875... | 41,345 | 41345 | |
Find a fraction between 97/36 and 96/35 with smallest denominator
February 23rd 2013, 08:13 AM #1
Junior Member
Joined
Jul 2012
From
Earth
Posts
56
Find a fraction between 97/36 and 96/35 with smallest denominator
Find a fraction between 97/36 and 96/35 which has the smallest denominator. Since 97/36... | 4 | [
0.0341796875,
0.058837890625,
0.0283203125,
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0.007415771484375,
0.0096435546875,
... | 41,346 | 41346 | |
Linear Transformation (Rank and Nullity)
April 8th 2011, 01:54 PM #1
Newbie
Joined
May 2010
Posts
15
Hello,
I need some help in this problem....
A = [1 -2 -1, 1 -3 0, 3 -8 -1] and let linear transformation T: R^3--> R^3 be defined by T(x) = Ax, where x = [ x1 x2 x3].
a) Determine rank(T) an... | 4 | [
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-0.0255126953125,
-0.01507568... | 41,347 | 41347 | |
Obstructions to Einstein metrics in high dimensions
up vote 11 down vote favorite
4
It is well known that there exists three and four manifolds that do not admit an Einstein metric, but I wonder if this question is still open for manifolds of dimension higher than four. That is,
does anyone know of a compact n-manifol... | 4 | [
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0.05078... | 41,348 | 41348 | |
Hodge Structures
Back to blogging for a bit, though likely infrequently. Doing a new series that might count as AG from the beginning, so I’ll put it up there once I’ve got a couple done. We’re going to start doing
some Hodge Theory.
We start with a finite rank lattice $H_\mathbb{Z}$, and we’re going to be working w... | 4 | [
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0.03857421875,
... | 41,349 | 41349 | |
equivalence classes
December 11th 2008, 06:37 AM #1
Member
Joined
Sep 2008
Posts
76
equivalence classes
Let D be the relation on Z defined as follows:
for all m,n in Z m D n <==> 3|(m^2 - n^2)
1.prove that D is an equivalence relation and
2.describe the distinct equivalence classes of D.
... | 5 | [
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0.1015625,
-0.02026367... | 41,350 | 41350 | |
What is "automorphism group of an error-correcting code" ?
up vote 0 down vote favorite
1
Here in Wikipedia is written: "The automorphism group of the binary Golay code is the Mathieu group M23."
What is "automorphism group of code" ?
PS
Are there other nice examples of relation between groups and codes ? E.g. if ... | 4 | [
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CPSC-121 Indirect proofs_ random stuff_ and number representation
CPSC-121: Indirect proofs, random
stuff, and number representation
Week 5 Tutorial outline
Matt Hoffman
1 Proof by contradiction
For a proof by contradi... | 4 | [
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0.0162353515625,
... | 41,352 | 41352 | |
Commutative Property of Multiplication with Decimals
2.12: Commutative Property of Multiplication with Decimals
Created by: CK-12
Practice Commutative Property of Multiplication with Decimals...
Have you ever been on a long car trip?
One day during their visit, Marc and Kara went on a ride out to the Berkshires wit... | 4 | [
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0.1206... | 41,353 | 41353 | |
Math Help
Note that $120=8\cdot 3\cdot 5$ and $9n^5-5n^3-4n=(n-1)n(n+1)(4+9n^2)$. It suffices to show that $8, 3, \text{ and } 5$ divide $(n-1)n(n+1)(4+9n^2)$ for any $n$. Can you take it from here?
$9n^5 - 5n^3 - 4n = 9(n^5 - 5n^3 + 4n) - 5n^3 + 45n^3 - 4n - 36n$ $= 9n(n^2-4)(n^2-1) + 40n^3 - 40n$ $= 9(n-2)(n-1)(n)(... | 4 | [
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0.006256103515625,
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0.... | 41,354 | 41354 | |
Character varieties of finitely generated groups
up vote 8 down vote favorite
1
Consider the following situation: $\Gamma_0\leq\Gamma$ are both finitely generated groups and $\Gamma_0$ has finite index in $\Gamma$. The restriction gives a well defined map between the character
varieties of these groups: $$\mathrm{Res}... | 5 | [
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0.044677734375,
-0.... | 41,355 | 41355 | |
graph lmitations - removable points of discontinuity
February 17th 2014, 12:28 PM #1
Newbie
Joined
Feb 2014
From
canada
Posts
3
graph lmitations - removable points of discontinuity
question about limitations on the following graph picture?
-Does f have a limit as x -> -1, 0, 1, 2 ? If so, what is... | 4 | [
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0.03637695312... | 41,356 | 41356 | |
L'Hospital's questions
April 9th 2013, 07:31 PM #1
Newbie
Joined
Sep 2012
From
Maryland
Posts
15
L'Hospital's questions
I've done a bunch of practice for my quiz tomorrow. However, I can't seem to find the answers to one of the worksheets so i can check my answers.
1. lim x->0 1-cox/x^2. My answ... | 5 | [
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The expansion is accelerating due to negative enough pressure
...no strings attached...
In recent years, I got used to the fact that Sean Carroll is confused about some very basic physics – the postulates of quantum mechanics as well as thermodynamics (and the very basic insight due to
Boltzmann and others that its la... | 4 | [
0.017822265625,
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Derivative Question
May 11th 2008, 11:33 AM
tribar
Derivative Question
A line passes through the point (-root3, -pi/6) and is tangent to the graph y=sinx at a point for which x is an element of [0. pi/2] detirmine the slope of the tangent.
root is a square root,
I really dont know where to go with this... | 5 | [
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0.... | 41,359 | 41359 | |
Planes in space
August 8th 2009, 09:27 AM #1
Super Member
Joined
Jun 2009
From
United States
Posts
676
Thanks
19
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,... | 4 | [
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Electrical Drives of Machine Tools presentation
Important: Use custom search function to get better results from our thousands of pages
Use " " for compulsory search eg:"electronics seminar" , use -" " for filter something eg: "electronics seminar" -"/tag/" (used for exclude resu... | 4 | [
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... | 41,361 | 41361 | |
Essential Math Weblog
William Brennan points out that on page 84, the equation
$(\mathbf{u}\bullet\mathbf{v})\mathbf{w} = \mathbf{u}(\mathbf{v}\otimes\mathbf{w})$
is not correct. There are two ways to rewrite this. In one the intended order is correct, but is missing the transpose operator to indicate that it’s a row... | 4 | [
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Abelian subgroups proof
April 22nd 2014, 07:42 PM
Educated
Abelian subgroups proof
Quote:
If A is an abelian group with $A \unlhd G$ and B is any subgroup of G, prove that $A \cap B \unlhd AB$
So I'm guessing AB is just defined as $AB : = \{ ab \, \, | \, \, a \in A, b \in B \}$
I started off with... | 5 | [
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... | 41,363 | 41363 | |
Abstract Algebra: Lagrange's Theorem 2
March 16th 2008, 09:59 AM #1
Abstract Algebra: Lagrange's Theorem 2
Hail Mathematicians,
My last question for the day... I think. Check my solution please.
Problem:
The exponent of a group $G$ is the smallest positive integer $n$ such that $a^n = e$ for each ... | 5 | [
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Basic Question
March 1st 2008, 10:48 PM #1
Basic Question
I need to know if I'm doing this problem accordingly
A drawer contains n=5 different and distinguishable pairs of socks (total of 10). If a person randomly selects four socks what is the probability that there is no matching pair in the sample?
s... | 4 | [
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quadratics
October 14th 2006, 05:51 PM #1
Junior Member
Joined
Sep 2006
Posts
38
quadratics
if someone could please show me the steps to finding this, i would really appreciate it. thanx
1) A quadratic relation is given by y=ax^2+b
if the two points P(1,5) and Q(2,11) are on the graph of the rel... | 4 | [
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Classical Mechanics
March 4th 2013, 12:33 AM #1
Classical Mechanics
I'm starting on classical mechanics in university (second year) and I skipped first year physics. I do have quite a good mathematical knowledge but I'm not getting this question:
Verify by direct substitution that the function $\phi(t) = A ... | 4 | [
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diyAudio - Equation relating t/s parameters to sensitivity vs frequency
diyAudio
(
http://www.diyaudio.com/forums/
)
-
Multi-Way
(
http://www.diyaudio.com/forums/multi-way/
)
thadman 16th November 2008 09:15 PM
Equation relating t/s parameters to sensitivity vs frequency
What is the equation relating t/... | 4 | [
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Matrices & char. polynomials.
April 6th 2010, 04:18 AM
Also sprach Zarathustra
Matrices & char. polynomials.
Where I could find a nice proof of following theorem:
A is matrix n x n over field F , similar to upper triangular matrix if and only if her characteristic polynomial can be factored into an expressi... | 4 | [
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an
Math::PlanePath::Diagonals -- points in diagonal stripes
use Math::PlanePath::Diagonals;
my $path = Math::PlanePath::Diagonals->new;
my ($x, $y) = $path->n_to_xy (123);
This path follows successive diagonals going from the Y axis down to the X axis.
6 | 22
5 | 16 23
4 | 11 17 24
... | 4 | [
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conjugacy classes
November 5th 2009, 07:16 AM #1
Junior Member
Joined
Oct 2009
Posts
58
conjugacy classes
Prove that the conjugacy classes in $A_5$ have sizes 1,12 ,12, 15 and 20..
so to prove the conjugacy class of size 1, its trivial, its just the identity.
to prove the conjugacy class of s... | 5 | [
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Simultaneous Equations
May 4th 2007, 06:46 AM #1
Simultaneous Equations
2xy + y = 10 (1)
x + y = 4 (2)
I got as far as:
(2) y = 4 - x
substitute into (1)
2x(4-x) + (4-x) = 10
2x(4-x) + (4-x) -10 = 0
Question: how to know when/ why to make it equal 0?
Also, I multiply out and... | 4 | [
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Topic: two-sample nonparametric test on quantiles
Replies... | 4 | [
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... | 41,373 | 41373 | |
Prove that I is radical if and only if R/I has no nilpotent elements.
March 26th 2011, 09:22 AM #1
Junior Member
Joined
Sep 2010
Posts
42
Prove that I is radical if and only if R/I has no nilpotent elements.
Prove that $I$ is radical if and only if $R/I$ has no nilpotent elements.
First: Should the ... | 5 | [
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Free Resolution of this determinantal variety.
up vote 2 down vote favorite
I am looking for a free resolution of the ideal generated by $2\times 2$-minors of a $3\times 3$ -matrix. More precisely let $M$ be a matrix (sorry but I cannot write a matrix for some TeX technical
reason) $$ M=\begin{bmatrix} x_{1}& x_{2}& ... | 5 | [
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Vertical circular motion - Mechanics 2
June 13th 2014, 10:28 AM #1
Newbie
Joined
Jun 2014
From
england
Posts
3
Vertical circular motion - Mechanics 2
Small bead mass denoted by m, suspended from fixed point O by a light inextensible string length a. Then set into motion with the string taut at B wher... | 4 | [
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If a category is "monadic", is it necessarily so in a unique manner?
up vote 2 down vote favorite
2
Just a minor curiosity that's flitted across my mind, but that's (part of) what this site's for, right?:
Is it possible for Hom(a, -) and Hom(b, -) to both be monadic functors from C to Set, for non-isomorphic objects ... | 5 | [
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... | 41,377 | 41377 | |
How to estimate of $\prod_{k=a}^N \frac{1}{e^{k\kappa}-1}$ for large $N$?
up vote 4 down vote favorite
1
I have to estimate the expression $\prod_{k=a}^N \frac{1}{e^{k\kappa}-1}$ for $\kappa$ very small $\kappa \sim 10^{-19}$ and $N$ very large $N\sim 10^{26}$ and $a$ arbitrary $a=1, \ldots, N$. I do
not really need a... | 5 | [
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Hands-On Geometry
Hands-On Geometry:
Using Manipulatives in Math 10
... | 4 | [
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Darboux Sums
May 14th 2011, 03:36 PM #1
Junior Member
Joined
Oct 2010
Posts
27
Darboux Sums
So we were doing Darboux sums in Analysis, and this was a given sample question and answer, but I don't really understand where part of this solution comes from:
"Suppose f is increasing on [0,1]. Show that f... | 4 | [
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... | 41,380 | 41380 | |
Volume 13,
Volume 13, Issue 3, March 1972
•
View Description Hide Description
A class of nonlinear space‐time transformations is exhibited, which forms a nonlinear realization of the Poincaré group. The transformations leave the expression I = x ^2+f(x ^μ/x ^0) invariant;
f is an arbitrary function of... | 4 | [
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sports probability
January 17th 2010, 01:38 AM
thereddevils
sports probability
In a sports quiz , each participant is required to answer a question , 2 of which are on badminton and 3 on soccer . THe questions are kept in separate envelopes . These envelopes are numbered 1
to 5 . The four participants are A,... | 4 | [
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are p-limits scales dense in the infinite musical scale of all rational frequencies?
up vote 1 down vote favorite
In the wiki section on prime limit tuning, one reads:
p-Limit Tuning. Given a prime number p, the subset of $Q^+$ consisting of those rational numbers x whose prime factorization has the form $ x=p_1^{\a... | 5 | [
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-0.056396484375,
-0.00238037109375,... | 41,383 | 41383 | |
Trigonometric Equation Help
January 5th 2010, 03:26 PM #1
Newbie
Joined
Jan 2010
Posts
8
Trigonometric Equation Help
For Negative Pi Less Than or Equal to Theta which is less than or equal to Pi
find all solutions
2(sin^2 x - cos^2 x ) = 8sinx-5
x is theta, and it is not in the exponent.
... | 4 | [
-0.01531982421875,
0.032470703125,
0.06298828125,
0.0286865234375,
-0.055419921875,
0.00616455078125,
-0.0390625,
0.056884765625,
0.058837890625,
-0.017822265625,
0.06591796875,
0.0294189453125,
0.057373046875,
0.07666015625,
0.032470703125,
0.007080078125,
0.0703125,
-0.0427246093... | 41,384 | 41384 | |
I have no idea what this is called or how to solve
May 1st 2010, 11:12 AM #1
Newbie
Joined
Apr 2010
Posts
9
I have no idea what this is called or how to solve
Please help
Using the given function, find f(x+h) - f(x) / h
A.) f(x) = 3x-7
B.) F(X)=X^2 +3X -2
I would show work, but I hav... | 4 | [
-0.0303955078125,
0.053466796875,
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-0.04833984375,
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-0.022216796875,
0.0004329681396484375,
0.0361328125,
0.078125,
-0.140625,
-0.02294921875,
0.04052734375,
0.051025390625,
0.11279296875,
-0.0732421875,
0.09423828125,
... | 41,385 | 41385 | |
Solids of revolution - volume between two curves
February 23rd 2010, 08:59 PM #1
Newbie
Joined
Feb 2010
Posts
2
Solids of revolution - volume between two curves
The problem asks to find the volume of the region bounded between y=x^2 and y=2-x, with the region being rotated around the vertical line x=3.
... | 5 | [
0.0257568359375,
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0.03173828125,
-0.06982421875,
-0.04736328125,
-0.12890625,
-0.08154296875,
0.01361083984375,
-0.03125,
-0.024658203125,
-0.043212890625,
0.06884765625,
0.0277099609375,
0.06884765625,
0.01171875,
-0.0306396484375,
-0.00555419921875,
-0.050537109375,
... | 41,386 | 41386 | |
Volume of a Pyramid
Date: 08/30/98 at 07:45:10
From: Terence Tham
Subject: Volume of pyramids
How come the volume of a pyramid is equal to 1/3 the volume of a prism
of the same base area and height? Can you explain it to me?
Thanks.
Date: 08/31/98 at 12:03:31
From: Doctor Peterson
Subject: Re: Volume of pyramids
... | 5 | [
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0.00927734375,
... | 41,387 | 41387 | |
quick Calc Equation question
December 29th 2008, 05:03 PM #1
quick Calc Equation question
Hello,
I am stuck with this one question, I do not even know how to begin. Any help would be greatly appreciated.
Determine $a$, $b$, $c$ and $d$ so that the graph of $ax^3+bx^2+cx+d$ has a point of inflection at th... | 4 | [
0.01116943359375,
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0.0019683837890625,
0.072265625,
0.0380859375,
0.0986328125,
0.059326171875,
0.01721... | 41,388 | 41388 | |
combinatorial inequality
August 26th 2010, 12:07 PM #1
Junior Member
Joined
Jun 2007
Posts
63
combinatorial inequality
Hi. I am trying to prove the following:
1 + C(2n, 1) + C(2n, 2) + ... + C(2n, k) <= (2n)^k for n >= k > 1.
I would appreciate any suggestions you all may have.
Thanks.
... | 5 | [
-0.0025177001953125,
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0.08984375,
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0.06396484375,
0.038818359375,
0... | 41,389 | 41389 | |
Correlation between two chi-squared random variables
June 26th 2013, 07:11 AM #1
Newbie
Joined
May 2013
From
Canada
Posts
11
Thanks
2
Correlation between two chi-squared random variables
Hi Folks!
Let X1 have a chi-squared distribution with 1 degree-of-freedom.
Let Xn have a chi-squared ... | 5 | [
-0.05859375,
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-0.046630859375,
-0.046630859375,
-0.0042724609375,
0.061279296875,
0.064453125,
0.0908203125,
0.04931640625,
-0.0003719329833984375,
0.04833984375,
-0.0260009765625,
-0.04... | 41,390 | 41390 | |
Complex numbers
June 1st 2013, 02:57 AM
Yeah01
Complex numbers
Hi guys. I need some help with I guess a relatively simple question. Could someone please show me with workings the following ?
If the modulus of z+(1/z)=2. What is z?
June 1st 2013, 03:12 AM
chiro
Re: Complex numbers
Hey Yeah01.
Hin... | 5 | [
-0.05029296875,
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-0.03955078125,
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0.00811767578125,
-0.06298828125,
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-0.039306640625,
0.11962890625,
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0.027099609375,
0.138671875,
-0.00811767578125,
-0.00179290771484375,
-0.0510253906... | 41,391 | 41391 | |
.
8. THE DARK ENERGY
It is rather frustrating that the only component of the universe which we understand theoretically is the radiation! While understanding the baryonic and dark matter components [in particular the
values of [B] and [DM]] is by no means trivial, the issue of dark energy is lot more perplexing, ther... | 4 | [
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0.0211181640625,
-0.001129150390625,
-0.04736328125,
-0.005126953125,
-0.09765625,
-0.023681640625,
0.0164794921875,
0.0155029296875,
-0.014404296875,
0.107421875,
-0.0083007... | 41,392 | 41392 | |
mathschallenge.net
Irrationality Of Pi
Problem
Using "school level" mathematics prove that $\pi \approx 3.1415926535...$ is irrational.
Solution
This problem is extremely difficult and "five stars" would have perhaps been a more appropriate difficulty rating. So for that reason the solution should be used as a lear... | 5 | [
-0.05126953125,
0.0240478515625,
-0.01129150390625,
0.07861328125,
-0.103515625,
0.043701171875,
0.025146484375,
-0.016357421875,
0.056640625,
-0.004180908203125,
-0.0255126953125,
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0.08154296875,
0.060302734375,
0.0093994140625,
-0.0478515625,
0.00140380859375,
0.... | 41,393 | 41393 | |
help:( with standard deviation
June 2nd 2007, 01:28 PM #1
Newbie
Joined
Oct 2006
Posts
7
A manufacture of metal washer turn out washer with a mean of 4.5 g and a standard deviation of 0.047g, what is the probability that a randomly selected washer wall have a mass lees than 4.58g?
Last edited by bran... | 4 | [
0.01373291015625,
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0.046875,
-0.01708984375,
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-0.0186767578125,
0.050048828125,
-0.0732421875,
0.0087890625,
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0.00201416015625,
0.00335693359375,
0.02490234375,
-0.0341796875,
-0... | 41,394 | 41394 | |
Retail Math Formulas
Retail Math Formulas: Talking The Talk Of Retail Business!
by: James Hallman - The Hallman Company
There is dispute among segments of the retail industry as to the retail math terminology and calculations used in the business. There is definitely a need for a "common language" for the industry as... | 4 | [
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0.09130859375,
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0.03076171875,
0.1357421875,
0.06494140625,
0.0247802734375,
0.05517578125,
-0.0... | 41,395 | 41395 | |
Analytical Geometry
Date: 04/11/2002 at 09:49:01
From: R. Kesavan
Subject: Analytical Geometry
Dear Sir,
When two straight lines meet each other perpendicularly, the product
of their slopes is -1. However, x and y axes meet at 90 degrees, but
the product of their slopes is not -1
because slope of x axis = 0
... | 4 | [
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-0.095703125,
-0.0185546875,
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0.036865234375,
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0.10498046875,
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-0.0017852783203125,
-0.06884765625,
-0.07421... | 41,396 | 41396 | |
A finite diagram in an abelian category which may not be locally small
up vote 3 down vote favorite
1
This question was posted in StackExchange, but there has been no answer so far.
This question is motivated by this. I will use the notations of my answer to this.
We say a category $\mathcal C$ is locally small if H... | 4 | [
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0.0458984375,
0.1025390625,
0.0966796875,
0.044921875,
0.05029296875,
... | 41,397 | 41397 | |
Random variables
March 16th 2006, 04:16 PM #1
Junior Member
Joined
Feb 2006
From
New Zealand
Posts
26
Random variables
1.
X is a random variable which can take the following values: (This is a table, c/2 means c over 2)
x.............0....1.....2...3....4
P(X=x)....c/2...c....2c..c...2/c
... | 4 | [
0.07080078125,
0.048583984375,
0.021240234375,
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0.0054931640625,
0.12451171875,
0.017578125,
0.0294189453125,
0.07763671875,
0.038818359375,
-0.07666015625,
0.01611328125,
0.083984375,
0.00457763671875,
-0.0311279296875,
0.01263427734375,
-0.057128... | 41,398 | 41398 | |
Solution of a PDE and its uniqueness
up vote 1 down vote favorite
Hallo,
consider $f: U \times I \rightarrow \mathbb{R}$, where $U \subset \mathbb{R}^{n}$ and $0 \in I \subset \mathbb{R}$ be two open sets. I am looking for the solution $f$ of the following PDE $\sum_{i=0}
^{n} (\frac{\partial^{2}f}{\partial t^{2}})^{... | 4 | [
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0.00830078125,
0.03515625,
-0.053466796875,
-0.... | 41,399 | 41399 |