content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
EquivalenceRelations /Equivalence Classes..
April 13th 2010, 03:29 AM
Rozana
EquivalenceRelations /Equivalence Classes..
Let R be a relation defined on IN X IN by (m,n) R(p,q) =>m+q=n+p.
(a)Show that R is an equivalence relation on INXIN.
(b)Write down the equivalence classes for the pairs (1,1) a... | 4 | [
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-0.01953125,
0.017822265625,
0.058837890625,
-0.... | 9,700 | 9700 | |
Predicting NCAA Tournament Winners
Date: 03/27/2000 at 13:30:10
From: Asher Pleasants
Subject: Odds and Probability
Hello! What are the odds of one person winning all 63 games in the
NCAA basketball tournament? I tried using factorial (63 x 62 x ... =)
but the number is too large for me to multiply after I get to 59... | 4 | [
0.0201416015625,
0.016845703125,
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0.... | 9,701 | 9701 | |
Heads and Legs
Date: 07/25/2001 at 13:51:09
From: Joseph Brazell
Subject: Algebra
Joe counts 48 heads and 134 legs among the chickens and dogs on his
farm. How many dogs and how many chickens does he have?
Date: 07/25/2001 at 16:29:37
From: Doctor Greenie
Subject: Re: Algebra
Hi, Joseph -
This is a classic probl... | 4 | [
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Closest 3D rotation matrix in the Frobenius norm sense
up vote 4 down vote favorite
Given a 3 by 3 matrix $M$ I would like to find the rotation matrix $R$ minimizing the Frobenius norm:
$$\|R-M\|_F$$
Is there a closed form solution for $R$, or is it possible to express $R$ as the solution to a linear system? I would... | 5 | [
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0.10009765625,
0... | 9,703 | 9703 | |
Homework Help
Posted by Anonymous on Saturday, April 17, 2010 at 9:53am.
A particle of mass m is released from rest at the top of a spherical dome of radius R.
how far below the starting point will the particle leave the surface of the dome?
how i should solve this?
• physics - drwls, Saturday, April 17, 2010 at ... | 5 | [
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Points on a circle, calculating angle
May 7th 2010, 11:38 AM
Mukilab
Points on a circle, calculating angle
O is the centre of a circle
A, B and C are points on this circle
angle COA is 130 degrees
Find the size of CBA
I have no idea how to approach this question, answer is not necessary, merely... | 4 | [
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-0.... | 9,705 | 9705 | |
how would I do this.....
June 5th 2007, 12:14 PM
kassandra
how would I do this.....
The time it takes for a pendulum to complete the one period is simplified by the formula: T=2 pi square root (L/g) Where g is the constant measuring 9.80655m/s^2 and L is the length of the
pendulum. The length of the pendulum... | 5 | [
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Homework Help
Posted by Piggy on Thursday, May 10, 2012 at 11:12pm.
A regular hexagon has an area of 96sqrt3. What is the length of each side of the hexagon?
• geometry - MathMate, Friday, May 11, 2012 at 8:20am
The area of a polygon of n sides with an apothem of a and side c is
A=nac/2
For a hexagon,... | 4 | [
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Proving Identities Rigorously
Date: 01/23/2002 at 18:35:19
From: Robert Chen
Subject: Proving Identities
This would probably apply to many of the proofs about identities, but
since I was looking at identities, that'll be the topic.
One submission in the Dr. Math archives was asking about
(1-tan A)/sec A + (sec A/ta... | 4 | [
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ADE
A Rapid Introduction to ADE Theory
John McKay
January 1, 2001
The natural numbers are the work of God, everything else is the work of man. -
Kronecker (translated from the German)
I show here how to derive the Dynkin graphs and all the semi-simple Lie algebras from the natural numbers:
Let us start with the se... | 4 | [
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100 Percent of Daily Allowance of Iron
Date: 09/30/2001 at 18:30:48
From: Amy
Subject: Percentage Word Problem
A common foodstuff is found to contain .00125% iron. The serving size
is 87.0 grams. If the recommended daily allowance is 18mg of iron, how
many servings would a person have to eat to get 100% of the daily... | 4 | [
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[SOLVED] Cardinal Exponentiation
April 28th 2010, 04:18 AM #1
[SOLVED] Cardinal Exponentiation
I have a ton of these that I want to do but I need to see how one is done to get a feel on what to do...
Let $\kappa$, $\lambda$ and $\mu$ be three cardinals.
Show that,
$<br /> \kappa^{\lambda + \mu} = \k... | 4 | [
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Use T-Statistic? Or use the Z value?
April 4th 2008, 03:52 PM
darren_a1
Use T-Statistic? Or use the Z value?
1. The local Tupperware dealers earned these commissions last month:
$4377.47 $3183.76 $1970.16 $2270.88 $3860.06
$2508.55 $1569.64 $4205.30 $1663.68 $3960.71
Assuming the population for the... | 5 | [
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Gauss integral
April 29th 2008, 01:51 PM
Demus
Gauss integral
where $ is the integral symbol , how can i get a general solution to
the indefinite integral $ dx / ln(x) .
problem relates to the primes.
April 29th 2008, 01:58 PM
Mathstud28
Quote:
$\int_a^{b}\frac{1}{\ln(x)}dx$
Let $ln(x)... | 5 | [
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Generating functions and Lagrangian submanifolds
up vote 1 down vote favorite
1
I'm interested in showing the existence of a generating function. Explicitly:
Suppose $\Lambda\subset T^*M\times T^*M$ is a Lagrangian submanifold. Consider the projection $\pi:(x_1,\xi_1,x_2,\xi_2)\mapsto(x_1,\xi_2)$. If $\pi|_\Lambda$ i... | 5 | [
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Transforming Random Variables
November 10th 2008, 05:31 PM #1
Newbie
Joined
Sep 2008
Posts
14
Transforming Random Variables
Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. Show that:
a) U = X1/(X2 + X1) has a beta distribution with alpha = r1... | 5 | [
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Controlling measure zero sets of solutions with Manipulate. A case study
up vote 5 down vote favorite
To address the question we start with the following toy model problem being here just a case study:
Given two circles on a plane (its centers (c1 and c2) and radii (r1 and r2)) as well as a positive number r3, find ... | 5 | [
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Surface Area Of Three Cubes Glued Together
Date: 10/22/2002 at 17:50:49
From: Ben Johns
Subject: Surface Area On Cubes
You have 3 cubes, one with an edge measuring 2, one 6, and one 8.
If you glue them together so you have the smallest possible surface
area, what will that surface area be?
I tried putting blocks tog... | 4 | [
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Homomorphism and group problem
March 31st 2008, 10:17 PM #1
Junior Member
Joined
Mar 2008
Posts
33
Homomorphism and group problem
For each $a e 0$ and $b$ in $GF(7) = \bold{Z}_7$ define a function $\mathit{F}_{a,b}:\bold{Z}_7\rightarrow \bold{Z}_7$ by
$\mathit{F}_{a,b}(x) = ax + b$
The set of a... | 4 | [
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Related Rates Issue: Cannot locate the proper formula
March 11th 2009, 06:25 AM #1
Junior Member
Joined
Mar 2009
From
Somewhere in the south....
Posts
25
Related Rates Issue: Cannot locate the proper formula
On a morning of a day when the sin will pass directly overhead, the shadow of an 80-ft buildi... | 5 | [
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Completing the perfect square and tables of integration
December 21st 2009, 06:45 AM #1
Newbie
Joined
Nov 2009
Posts
18
Completing the perfect square and tables of integration
I had to Complete the perfect square and use the tables of integration to integrate the following:
∫ 1 / (√x^2 – 3x + 6) dx
... | 5 | [
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more probabilities
November 30th 2009, 02:58 PM #1
Member
Joined
Sep 2008
Posts
239
more probabilities
OK I have answered these questions but unsure as to whether or not they are done correctly.
We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely.
... | 4 | [
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(-1(1-x)))^-2 algebra problem
December 2nd 2011, 04:51 AM #1
Member
Joined
Jul 2009
From
London
Posts
109
(-1(1-x)))^-2 algebra problem
I have
$\frac{1}{(x-1)^2}$
And to solve a binomial problem I need the x part in form (1 +/- x) - ie I need a positive 1.
I can get to:
$\frac{1}{(-... | 4 | [
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Expected position of a card in a deck after repeating a procedure
up vote 1 down vote favorite
Suppose you have a deck of 52 playing cards, fully shuffled, one of which is the King of Hearts. You perform this procedure: 1. Put the top three cards of the deck into a second pile. If there aren't
three cards, put the res... | 5 | [
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The Science of Sticky Spheres
COMPUTING SCIENCE
The Science of Sticky Spheres
On the strange attraction of spheres that like to stick together
Take a dozen marbles, all the same size, and squeeze them into a compact, three-dimensional cluster. Now count the number of points where the marbles touch one another. What ... | 4 | [
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basic linear algebra questions
April 17th 2009, 07:32 PM
Hikari Clover
basic linear algebra questions
let ABC be a triangle and let p be the midpoint of side AB
let http://i52.photobucket.com/albums/g37/mmmmms/1-7.jpg and http://i52.photobucket.com/albums/g37/mmmmms/2-6.jpg
express http://i52.photobucke... | 5 | [
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... | 9,725 | 9725 | |
Points on a sphere
up vote 6 down vote favorite
4
Wonder whether you know where the following pearl of Topology first appeared:
Prove that at any instant of time you can find three isothermal points on the surface of the Earth that correspond to the vertices of an equilateral triangle.
According to somebody, all... | 4 | [
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Distance in Respect to Time
March 19th 2009, 12:11 PM #1
Distance in Respect to Time
A Particle moves along the x axis so that at time t its position is given by x(t)=sin( pi t^2)
(A.)Find the Velocity at time t
(B.)Find the acceleration of time t
(C.)For What Value of t does the particle change direc... | 5 | [
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0.15625,
0.0086669921875,
-0.0225830078125,
-0.027587890625,
-0.032470703125,
-0.009033203125,
-0.01458740234375,
0.01068... | 9,727 | 9727 | |
Proper-class sized "ring" with no maximal ideals
up vote 5 down vote favorite
Suppose I have a collection of "elements" together with operations that satisfy the axioms for a commutative ring with identity --- except that these elements form not a set, but a proper class.
Must such a thing contain a maximal ideal (wh... | 4 | [
-0.00885009765625,
0.048583984375,
-0.056884765625,
-0.06640625,
-0.0002288818359375,
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0.01025390625,
0.009033203125,
-0.031005859375,
-0.0272216796875,
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0.07666015625,
0.00927734375,
-0.01953125,
-0.01171875,
0.026611328125,
0.029296875,
0.0146484375,... | 9,728 | 9728 | |
Example of non-closed convex hull in a CAT(0) space
up vote 6 down vote favorite
2
this is related to this question but is simpler, and hopefully is well-known. There are a number of references that say that the convex hull of a collection of points in a CAT(0) space need not be
closed. I was wondering if anyone was a... | 4 | [
0.052734375,
-0.041015625,
0.01507568359375,
-0.00225830078125,
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0.052001953125,
-0.053466796875,
0.10400390625,
-0.01806640625,
-0.040771484375,
-0.05517578125,
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0.0213623046875,
0.006072998046875,
-0.07275390625,
-0.052001953125,
-... | 9,729 | 9729 | |
AC generator theory
Question 1:
If an electric current is passed through this wire, which direction will the wire be pushed (by the interaction of the magnetic fields)?
Is this an example of an electric
motor
or an electric
generator
?
The wire will be pushed
up
in this
motor
example.
Notes:
A visual aid t... | 5 | [
-0.103515625,
0.08056640625,
-0.0673828125,
-0.015869140625,
0.009033203125,
0.072265625,
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0.022705078125,
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0.06396484375,
-0.026123046875,
-0.042236328125,
0.0164794921875,
-0.027099609375,
-0... | 9,730 | 9730 | |
Remainder Theorem
November 5th 2005, 02:45 AM #1
Newbie
Joined
Nov 2005
Posts
2
Given that f(x) = x^2+px+q , determine the values of the constants p and q so that both
a) f(x) has a turning point when x=-3 and
b) the remainder when f(x) is divided by x+2 is 2.
Given that f(x) = x^2+px+q ,... | 4 | [
-0.07373046875,
0.03271484375,
-0.0111083984375,
-0.00537109375,
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0.09716796875,
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0.0712890625,
0.06298828125,
0.01483154296875,
0.07861328125,
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0.043212890625,
0.06689453125,
0.0294189453125,
-0.02734375,
-0.08056640625,
-0.0732421875,
... | 9,731 | 9731 | |
Statistical learning techniques applied to epidemiology: a simulated case-control comparison study with logistic regression
Abstract
Background
When investigating covariate interactions and group associations with standard regression analyses, the relationship between the response variable and exposure may be difficu... | 4 | [
0.052978515625,
-0.0289306640625,
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0.03955078125,
0.07666015625,
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0.006988525390625,
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0.0625,
-0.002288818359375,
-0.011962890625,
-0.0181884765625,
0.03271484375,
0.01483... | 9,732 | 9732 | |
Conjugates
November 11th 2009, 10:04 PM #1
Newbie
Joined
Oct 2008
Posts
6
Conjugates
How many conjugates does the permutation (123) have in the group S<sub>3</sub> of all permutations on 3 letters? Give brief reasons for your answers.
Answers were provided for this question, but after going carefull... | 5 | [
-0.040771484375,
-0.0615234375,
0.017822265625,
-0.1259765625,
-0.051025390625,
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0.01953125,
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0.0712890625,
0.052490234375,
-0.11669921875,
-0.0771484375,
0.0419921875,
0.0140380859375,
0.00263977050... | 9,733 | 9733 | |
.
4. THE GAUSSIAN DISTRIBUTION
In many of the problems dealt with in this book, the number of trials, n, is very large. A small molecule undergoing diffusion, for example, steps to the right or left millions of times in a
microsecond, not 4 times in a few seconds, as the ball in the apparatus of Fig. A.3. There are t... | 4 | [
0.0380859375,
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0.048095703125,
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0.0147705078125,
-0.054931640625,
0.022216796875,
-0.046875,
-0.0634765625... | 9,734 | 9734 | |
Statistical data treatment
Statistical Treatment Of Data
Two important, though often neglected, parts of an analysis are error analysis and correct results reporting. Results should always be reported along with some estimation of the... | 5 | [
-0.015625,
0.08447265625,
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0.000675201416015625,
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-0.03369140625,
-0.032470703125,
-0.06494140625,
0.08154296875,
0.01019287... | 9,735 | 9735 | |
Ordinary DE Problem:
March 7th 2010, 10:00 AM
Kasper
Ordinary DE Problem:
So I think I have found the solution to the following problem, but it feels like I just barely patched it together, if anyone could take a quick peek and make sure I wasn't making up my own math,
I would be very appreciative!
Quo... | 5 | [
-0.04833984375,
0.0172119140625,
0.11083984375,
-0.01312255859375,
0.015869140625,
0.01519775390625,
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0.04541015625,
0.025634765625,
0.0947265625,
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0.0303955078125,
-0.0233154296875,
0.03515625,
0.01055908203125,
0... | 9,736 | 9736 | |
Fourier Serries - Integration Help
May 26th 2007, 07:28 PM #1
Fourier Serries - Integration Help
Ok, just attempted another Fourier serries for the half range sine extension of x(l-x) over the range 0<x<l. I havent finished the question yet but before i go any futher i would like to get
someone else to have a... | 5 | [
-0.0654296875,
-0.0206298828125,
0.07666015625,
-0.0233154296875,
0.06201171875,
0.05419921875,
-0.023681640625,
0.045654296875,
-0.083984375,
-0.0012664794921875,
-0.004547119140625,
-0.0145263671875,
-0.005157470703125,
-0.005126953125,
0.052001953125,
0.05078125,
0.046875,
-0.08... | 9,737 | 9737 | |
Differntial Equations
February 26th 2006, 12:13 PM
robert123
Differntial Equations
ODE:
x' = -3x^2 - x + 2
X[0] is given.
What values will yield equilibrium. I got those values 2/3 and -1.
Q: Equilibria can either be characterized by stable, indifferent or unstable. What is applicable for the ... | 5 | [
-0.041748046875,
-0.0751953125,
-0.046142578125,
-0.032470703125,
-0.007049560546875,
0.0113525390625,
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0.04443359375,
0.004669189453125,
-0.02880859375,
0.03857421875,
-0.0169677734375,
0.05419921875,
-0.05908203125,
0.01141357421875,
0.03369140625,
0.02490234375,
... | 9,738 | 9738 | |
Polymath1Wiki
Finding primes
From Polymath1Wiki
This is the main wiki page for the Polymath4 project "Finding primes".
The main aim of the project is to resolve the following conjecture:
(Strong) conjecture. There exists deterministic algorithm which, when given an integer k, is guaranteed to find a prime of a... | 4 | [
-0.07958984375,
-0.0036163330078125,
-0.02587890625,
-0.0125732421875,
0.0286865234375,
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0.076171875,
0.0291748046875,
-0.09716796875,
0.0361328125,
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0.038818359375,
0.0184326171875,
0.030029296875,
-0.01409912109375,
-0.0400390625,
0.00180816650390625... | 9,739 | 9739 | |
EFGH x 4 = HGFE - Math Central
Hi Robin.
Most of the time in these questions, each letter represents a different digit (for example, if E is 2, then F, G, and H cannot be 2). This wasn't stated in the question, so we'll try to solve it
without making this assumption.
Begin:
You know that anything times four must be ... | 4 | [
0.031005859375,
0.052490234375,
0.0133056640625,
-0.05615234375,
0.021728515625,
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-0.00051116943359375,
-0.05615234375,
0.030029296875,
-0.09228515625,
0.027... | 9,740 | 9740 | |
derivative question (ln)
May 1st 2011, 08:26 PM #1
Member
Joined
Nov 2010
Posts
93
derivative question (ln)
Hello, I have the equation below which I want to find the derivative of:
y=ln(x^2+1)
I understand that I have to proceed to:
1/x^2+1 x (2x) (using chain rule)
I understand that, ... | 4 | [
-0.0194091796875,
0.010009765625,
0.107421875,
-0.005279541015625,
0.061279296875,
-0.07275390625,
0.0198974609375,
-0.01300048828125,
0.0181884765625,
-0.049072265625,
0.12353515625,
-0.001800537109375,
0.00439453125,
0.068359375,
-0.06982421875,
0.03271484375,
-0.061767578125,
-0... | 9,741 | 9741 | |
Information Acquisition in Auctions
Information Acquisition in Auctions
by Nicola Persico
Citation
Title:
Information Acquisition in Auctions
Updated: November 14th, 2012
Abstract:
NOTES AND COMMENTS
INFORMATION ACQUISITION IN AUCTIONS
1. INTRODUCTION
OURAIM IN THIS PAPER is to study the incentives to acquir... | 4 | [
-0.07470703125,
0.060302734375,
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0.024658203125,
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0.01434326171875,
0.07177734375,
0.09326171875,
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0.021484375,
0.0947265625,
-0.006927490234375,
0.01324462890625,
0.0322265625,
0.01348876953125,
-0.0... | 9,742 | 9742 | |
Confusing homework questions HELP!!
May 28th 2008, 10:19 PM #1
Newbie
Joined
May 2008
Posts
4
1)Farmer John has 1200 feet of fencing and wishes to use it to fence a rectan-gular plot divided into two subplots as in the gure below. What are the dimensions of the plot with maximum area?
2)
... | 4 | [
0.02392578125,
0.01446533203125,
0.036865234375,
-0.1044921875,
0.049560546875,
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0.00104522705078125,
0.107421875,
-0.0908203125,
0.03857421875,
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0.07568359375,
-0.083984375,
0.0556640625,
0.005157470703125,
-0.0625,
... | 9,743 | 9743 | |
Math Forum Discussions
Re: A bug in Reduce package 'algint'?
Posted: Jan 22, 2013 2:08 PM
On 22.01.2013 18:42, clicliclic@freenet.de wrote:
>
> acer schrieb:
>>
>> Le lundi 21 janvier 2013 16:16:30 UTC-5, Axel Vogt a écrit :
>>> On 21.01.2013 19:55, clicliclic wrote:
>>>>
>>>> Wanting to refresh my knowledge of the ca... | 5 | [
-0.06396484375,
-0.017822265625,
0.040283203125,
-0.02294921875,
-0.017578125,
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-0.01556396484375,
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0.0888671875,
-0.0198974609375,
-0.037... | 9,744 | 9744 | |
Circles within a Circle
Date: 10/12/2000 at 21:50:07
From: Brian Tinker
Subject: Geometric problem.
You have three circles: One has a diameter of 3 inches, another has a
diameter of 2, and the third has a diameter of 1. The two smaller ones
are put inside the larger one in a way so that the combined diameters
of the... | 5 | [
0.0238037109375,
0.03369140625,
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-0.00787353515625,
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0.004241943359375,
0.047607421875,
-0.00994873046875,
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0.08642578125,
0.00445556640625,
-0.0242919921875,
-0.03149414062... | 9,745 | 9745 | |
Don't know where to start...
February 13th 2009, 06:01 PM #1
Junior Member
Joined
Feb 2009
Posts
38
Don't know where to start...
This is what I need to do but don't know where to start, please give me some pointers. It has to do with expected value of nonnegative random variable.
Let $X\in {0,1,2,..... | 5 | [
0.034912109375,
0.059326171875,
0.0517578125,
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0.022216796875,
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0.0439453125,
0.054931640625,
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-0.039306640625,
0.061279296875,
-0.040771484375,
-0.0771484375,
-0.0242919921875,
0.03076171875,
-0.038085937... | 9,746 | 9746 | |
Asset Pricing: (Revised)
More About This Textbook
Overview
"An excellent survey of asset pricing theory and applications from the modern viewpoint of stochastic discount factors and their associated geometry. This book was already a classic among finance
scholars and on Ph.D. syllabi when it circulated in the form of... | 4 | [
-0.04052734375,
0.0186767578125,
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-0.017578125,
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-0.06689453125,
0.0225830078125,
-0.04736328125,
-0.03271484375,
0.0388... | 9,747 | 9747 | |
Lecture 17: Voronoi Diagrams and Delauney Triangulations.
In the last lecture, we covered Fortune's algorithm for creating a
voronoi diagram. The following applet given a demonstration of this
algorithm at work:
voronoi sweep line
The dual of the Voronoi Diagram is called the Delaunay
Triangulation. In today's cl... | 4 | [
-0.02734375,
0.022216796875,
-0.01611328125,
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-0.0439453125,
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0.0390625,
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-0.019775390625,
0.0238037109375,
0.0172119140625,
-0.0264892578125,
-0.03... | 9,748 | 9748 | |
Diameter of a metric on orbits under affine bijections of $n-$dimensional convex compact sets
up vote 4 down vote favorite
1
Given two $n-$dimensional convex compact sets $A,B$, we define $d(A,B)$ as $\log({\mathrm{Vol}}(\alpha_2(A)))-\log(\mathrm{Vol}(\alpha_1(A)))$ where $\alpha_1,\alpha_2$ are two affine bijections... | 4 | [
-0.01025390625,
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0.08056640625,
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-0.00933837890625,
-0.001220703125,
-0.02392578125,
0.0262451171875,
-0.00... | 9,749 | 9749 | |
problem of increasing function
October 19th 2010, 09:57 PM #1
Find the range of the values for $c$ for which $f(x) = x^3 - 3x^2 + 3cx + 1$ is strictly increasing.
Find f'(x). For f(x) to be strictly increasing, f'(x) > 0 for all x.
yes i know that. but writing $f'(x) > 0$ leads to:-
$3x^2 - 6x + 3c >... | 4 | [
-0.0361328125,
-0.05712890625,
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-0.078125,
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0.056396484375,
0.000926971435546875,
0.09375,
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0.018310546875,
0.01495361328125,
0.0206298828125,
-0.0054931640625,
-0.00201416015625,
-0.00765... | 9,750 | 9750 | |
trig derivatives
February 5th 2009, 01:39 PM #1
Member
Joined
Oct 2008
Posts
109
trig derivatives
Find the derivative and simplify in each case:
$f(x) = arctan (x - \sqrt{1+x^2})$
$f(x) = e^{tan^{-1}(x^2)}$
$f(t) = \frac{sin^{-1}(t)}{sin^{-1}(2t)}$
Thanks to all that helps : )
I ... | 5 | [
-0.0203857421875,
0.046142578125,
0.12353515625,
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0.0216064453125,
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0.06787109375,
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0.0087890625,
-0.05712890625,
0.032958984375,
0.002716064453125,
-0.01440429... | 9,751 | 9751 | |
Find a geometric mean (sorry guys, not sure how to describe.)
January 13th 2013, 06:10 PM #1
Newbie
Joined
Jan 2012
Posts
11
Find a geometric mean (sorry guys, not sure how to describe.)
Hey, sorry I can't describe further in the title. I have no clue where to go with this haha.
4. Find one geometri... | 4 | [
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0.032470703125,
0.07861328125,
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0.052978515625,
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0.07763671875,
0.03271484375,
-0.019775390625,
0.0145263671875,
-0.016967773437... | 9,752 | 9752 | |
perform the integration
April 19th 2009, 03:06 PM
venikUSA
perform the integration
Can someone show me the solution to this problem? I have the exam tomorrow :(
the integral of e^-3x/12+e^-3x
the answer is: -1/3ln|12+e^-3x|+c
Thank you!!!!
April 19th 2009, 03:22 PM
derfleurer
So integrate (... | 5 | [
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0.02099609375,
0.034423828125,
-0.0830078125,
0.07177734375,
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0.00970458984375,
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-0.0260009765625,
-0.0238037109375,
-0.09130859375,
-0.064453125,
0.00753... | 9,753 | 9753 | |
maths, variations checking!
Posted by hayley on Tuesday, December 18, 2007 at 5:57am.
question: given that y is inversely proportional to (x-1),
A) express y in terms of x and a constant k
b) give that y=5 when x=3, find x when y=25
answer: A)y=-k(x-1)
y=-kx+k
B)y=5, x=3, k(constant)=3x5
k=15
25=-15x+15
10=-15... | 4 | [
-0.0830078125,
0.000225067138671875,
0.039794921875,
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-0.0037994384765625,
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0.08984375,
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-0.03759765625,
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0.0235595703125,
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0.017822265625,
0.0634765625,
0.010009765625,
0.052... | 9,754 | 9754 | |
History Of The Theory Of Numbers - I
CHAP, vi] PERIODIC DECIMAL FRACTIONS. 165
Next, if D = 10&—1, we have a like rule to be applied only to the km—1. If D = 10&=fc 3, I/(3D) has a denominator 10Z=t 1, and the length of its period, found as above, is shown to be not less than... | 4 | [
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0.08544921875,
0.10107421875,
0.021728515625,
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0.032470703125,
-0.01446533203125,
-0.0791015625,
-0.09326171875,
0.03320312... | 9,755 | 9755 | |
Unfair coin
September 20th 2012, 05:25 PM
jthomp18
Unfair coin
I am trying to determine a probability. One side of my coin (heads) is "two and one-half times" heavier than the other side (which is tails).
Can anyone tell me what a probability would be for that? I am needing to do a simulation where I have t... | 4 | [
-0.025634765625,
0.060791015625,
0.0157470703125,
-0.029541015625,
0.007293701171875,
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0.0849609375,
-0.0252685546875,
0.023681640625,
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-0.00579833984375,
0.0206298828125,
0.0595703125,
-0.04052734375,
0.0296630859375,
... | 9,756 | 9756 | |
Math Forum Discussions
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Topic: Mapping Distribute, losing constant factor
Replies... | 5 | [
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-0.0341796875,
0.04736328125,
0.01495361328125,
0.031494140625,
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0.040283203125,
0.0615234375,
0.0196533203125,
0.035888671875,
-0.06787109375,
0.014... | 9,757 | 9757 | |
Modeling a Mass-Spring System
May 31st 2011, 11:26 AM #1
Junior Member
Joined
May 2011
Posts
54
Modeling a Mass-Spring System
A particle of mass
m is suspended from a ceiling by a spring of natural length l and
stiffness k. Assume that there is no damping
If the mass is displaced f... | 4 | [
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0.04052734375,
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0.0076904296875,
0.0380859375,
0.0986328125,
... | 9,758 | 9758 | |
How many five digit integers (10,000-99,999) are divisible by 5?
When I did it I got 2000*10-2000=18000. But I was marked wrong but cant see where I went wrong.
The minimum is $10000$ and the maxumum is $99995$ so the total number is : $\frac{99995-10000}{5} + 1$ $= 18000$
Maybe it was not the final answer that was ... | 4 | [
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0.09375,
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0.007171630859375,
0.040283203125,
-0.01672363281... | 9,759 | 9759 | |
Proving Trig. Identity
July 21st 2010, 06:05 AM #1
Newbie
Joined
Jun 2010
Posts
11
Proving Trig. Identity
The original problem is $(1-cos(x))/(1+cos(x))=(csc(x)-cot(x))^2$
I start by solving from the right side. First I expand the binomial and then I take reciprocal of both csc and cot. At that poin... | 4 | [
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0.119140625,
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0.056640625,
0.029541015625,
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0.005035400390625,
0.02490234375,
-0.0186767578125,
0.08251953125,
-0.0024414062... | 9,760 | 9760 | |
Statistics in Seattle
I have been doing some background reading on group sequential trials for an upcoming project. One of the papers I came across in terms of the required numerical methods is "Repeated Significance
Tests on Accumulating Data" (Armitage, et al, 1969). In this paper, the scenario is considered of obser... | 5 | [
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-0.051025390625,
-0.0206298828125,
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0.03955078125,
... | 9,761 | 9761 | |
CONVERTING MILES AND KILOMETRES
CONVERTING MILES AND KILOMETRES
Here's a mnemonic device for recalling how to easily convert miles to k... | 4 | [
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0.01214599609375,
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-0.10546875,
0.0957... | 9,762 | 9762 | |
2 Area between 2 curves problems
October 23rd 2008, 07:12 PM #1
Newbie
Joined
Oct 2008
Posts
2
2 Area between 2 curves problems
There are two problems that no matter what I attempt to do, can not acquire the right answer for on my current assignment
The total area enclosed by the graphs of y=12x^2 –... | 5 | [
0.0400390625,
-0.056884765625,
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0.046142578125,
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0.03955078125,
0.02734375,
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0.05517578125,
-0.0498046875,
-0.0834... | 9,763 | 9763 | |
Physics 11, Snell's Law Experiment
Physics Experiment 6 - Snell's Law
Purpose:
In this experiment you will measure the refraction of light as it passes from one medium
to another, and you will determine the index of refraction of a given liquid.
Equipment :
A semicircular petri dish, a paper protractor, a light box... | 4 | [
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0.00598144531... | 9,764 | 9764 | |
3 examples
I cannot solve these 3 examples. If you know it, please help me. http://content.imagesocket.com/images/_jj95c.JPG
To simplify calculations, for (1), begin by factorising 35 to write it as a multiple of the single-digit terms, 5 and 7, may be simpler ways though. For (2), 9 is a power of 3, 4 is a power of 2... | 5 | [
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0.0673... | 9,765 | 9765 | |
Algebra Equation
April 7th 2006, 05:52 PM
Rocher
Algebra Equation
I NEED HELP FAST!! I HAVE A TEST TOMMOROW AND I HAVE A FULL PAGE OF HOMEWORK NOT DONE!! IF I DONT PASS THIS TEST THEN IM DEAD FOREVER!!!
OKAY
Its like this, 8x-11=3x+27
Please tell me the answer, and how you got the answer. I still ... | 4 | [
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0.06005859375,
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0.025390625,
-0... | 9,766 | 9766 | |
Angles in cyclic quadrilateral in semi-circle
September 26th 2011, 12:08 PM
I-Think
Angles in cyclic quadrilateral in semi-circle
Given a cyclic quadrilateral ABCD in a semi-circle, (let AD be the diameter),let AB=BC=1. Draw the line DB.
Prove that angle ADB= angle BDC
This was taken as obvious in a sol... | 4 | [
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0.01232910... | 9,767 | 9767 | |
Math Help
December 5th 2009, 07:11 AM #1
Member
Joined
Sep 2009
Posts
106
The figure above shows a portion of the graph of the function f. If f(x+5) = f(x) for all values of x, then f(x) = 0 for how many different values of x between 0 and 12?
http://img187.imageshack.us/img187/4666/dsc00054i.jpg
... | 4 | [
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Golden Ratio and the Sine of 18
Date: 04/17/2001 at 12:42:32
From: David Zaya
Subject: Golden Ratio and the sine of 18
I recently found that the 2*sin(18) + 1 is equal to the golden ratio.
I was wondering if there was any significance to this.
Date: 04/17/2001 at 14:13:24
From: Doctor Jaffee
Subject: Re: Golden Ra... | 4 | [
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-0.051513671875... | 9,769 | 9769 | |
Calc 1 HW help needed.
April 22nd 2007, 07:38 PM
lmao
Calc 1 HW help needed.
1. The linear approximation at x=0 sqrt(5+7x) A+Bx
where A=_____
and B=_____
---------------------------------------------------------------------
2. The linear approximation at x=0 to sin(9x) is A+Bx where A is : and w... | 5 | [
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-0... | 9,770 | 9770 | |
L'Hospital's Rule
lim -> infinite (3x+4)/(ln(4+4e^x)) lim -> 0 (2/x^4)-(5/x^2) lim -> infinite (1+(10/x))^(x/4)
Come on...you don't need L'hopitals for any of these. Just think about this As x gets incredibely huge $4+4e^x\to{4e^x}$ So $\ln(4+4e^x)\to\ln(4)+x$ So $\frac{3x+4}{\ln(4+4e^x)}\to\frac{3x+4}{\ln(4)
+x}\t o{... | 5 | [
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Tiling the square with rectangles of small diagonals
up vote 11 down vote favorite
1
For a given integer $k\ge3$, tile the unit square with $k$ rectangles so that the longest of the rectangles' diagonals be as short as possible. Call such a tiling optimal. The solutions are obvious
in the easy cases when $k$ is the sq... | 5 | [
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0.0825... | 9,772 | 9772 | |
Solving differential equation
March 25th 2009, 01:49 AM
LooNiE
Solving differential equation
The equation I have is:
(x+1)dy/dx - y = x^2 - 1
I basically need to rearrange it to find the integrating factor, then I need to solve it to find the general solution. Also how do I solve the particular solutio... | 5 | [
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-0.00921630859375,
-0.03344726... | 9,773 | 9773 | |
lim n->infinity for cos function
September 22nd 2009, 06:36 AM #1
Junior Member
Joined
Sep 2009
Posts
29
lim n->infinity for cos function
lim n-> infinity (cos(4*x/(n^.5)))^n
I can plug this into mathematica and get e^-(8*x^2) but I don't know how that answer was obtained...
Note that $\lim_{n\... | 5 | [
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0.007934570... | 9,774 | 9774 | |
problems in complex analysis
May 27th 2010, 08:15 AM #1
Member
Joined
Sep 2009
Posts
161
problems in complex analysis
Hi All,
I need the solution of this question:
Let G ≠C be simply connected domainin C. Let f:G→G be holomorphic and fixes two Points. Show that f(z) = z for all z in G.(Where c i... | 5 | [
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-0.06884765... | 9,775 | 9775 | |
Find individual ages of the ten persons?
August 6th 2008, 04:33 AM #1
Find individual ages of the ten persons?
In a group of 10 persons, each person is asked to write the sum of ages of all the other 9 persons. If all the ten sums form a 9-elements set{82,83,84,85,87,89,90,91,92}, then find the individual
age... | 4 | [
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-0.08251953125,
0.0383300781... | 9,776 | 9776 | |
The Direct3D Transformation Pipeline
This article provides a technical explanation for Direct3D application developers on how to set the parameters of the Direct3D Transformation Pipeline by the direct manipulation of Direct3D matrices.
Overview
Direct3D uses three transformations to change your 3D model coordinates... | 4 | [
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... | 9,777 | 9777 | |
Normal approximation
November 25th 2008, 07:23 PM
someone21
Normal approximation
Two questions
1.From past data, it is known that 70 percent of brand A computer users plan to buy a newer model of brand A computer in future. Suppose 25 brand A computer users are asked for their future brand
preference. Us... | 5 | [
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-0... | 9,778 | 9778 | |
Help with Hyphothesis Testing Problems
May 9th 2010, 05:56 PM #1
Newbie
Joined
May 2010
Posts
1
Help with Hyphothesis Testing Problems
So yeah, i've come across a few questions that I have no idea how to do, wasn't covered in class and the book doesn't help, or I simply don't understand them. No one else... | 4 | [
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-0.0286865234375,
-0.046630859375,... | 9,779 | 9779 | |
Math problem, help needed.
August 13th 2006, 08:46 AM #1
Junior Member
Joined
Aug 2006
Posts
36
Math problem, help needed.
Hi guys, another problem. If anybody could guide me through the solution that would be great!
See screen shot on following link....
CLICK HERE
c00ky
Hi guys, anoth... | 5 | [
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-0.03125,
0.0... | 9,780 | 9780 | |
Tangent-chord theorem
April 9th 2010, 09:48 PM #1
Newbie
Joined
Apr 2010
Posts
6
Tangent-chord theorem
The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.
Can anyone prove this?
I've been trying to do it for the whole afternoon, help would be much ap... | 4 | [
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0.05517578125,
-0.0208740234375,
... | 9,781 | 9781 | |
Contour Integral
December 6th 2009, 04:16 PM
nmatthies1
Contour Integral
For $\varepsilon >0$ let $\gamma_{\varepsilon}$ be the piece of circular arc of radius $\varepsilon$ parameterised by $\gamma_{\varepsilon}(t)=\varepsilon e^{it}$ for $t \in [\alpha , \beta] \
subseteq [0,2\pi]$. Show, for continuous $f... | 4 | [
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0.03271484375,
0.0361328125,
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0.034423828125,
-0.0291748046875,
-0.01287841796875,
-0.023193359375,
-0.03... | 9,782 | 9782 | |
Lagrange Multipliers
June 5th 2013, 02:42 PM #1
Member
Joined
Aug 2011
Posts
117
Lagrange Multipliers
The teacher gave us some problems on the board for us to jot down. He said it would prepare us with the final.
Problem:
Optimize the function $f(x,y,z)=8x-4z$ subject to the constraint $x^2 + 1... | 5 | [
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roots of complex number
November 15th 2011, 05:05 PM #1
Newbie
Joined
Nov 2011
Posts
8
roots of complex number
In the set of complex numbers, do we have
[w=z^1/2] equivalent to [w^2=z].
If so, why (as we do not have the equivalence in the set of real numbers)
I am looking for an answer as ... | 5 | [
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-0.06... | 9,784 | 9784 | |
trigonometry
July 31st 2009, 11:17 PM #1
Junior Member
Joined
Jul 2009
Posts
35
trigonometry
it is given that y=sin^-1,that is, y=arc sinx. by expressing x as a function of y, determine dx/dy and hence determine dy/dx as a function of x only
Note that $y=\arcsin x\implies\sin y =x$
Now, differe... | 5 | [
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... | 9,785 | 9785 | |
Math Help
August 21st 2007, 02:02 AM #1
vectors!!
hello!!
i'm having a little trouble converting between vector forms!!
so how would you convert the vector V = (3,40 degrees) into cartesian form
and convert v = 2i + 5j into polar form...
thanks!!
Hello, sir nerdalot!
How would you con... | 4 | [
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Counting Regions Formed by Straight Lines
Associated Topics || Dr. Math Home || Search Dr. Math
Counting Regions Formed by Straight Lines
... | 4 | [
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Using the rank-nullity theorem in a proof
The first is pretty straight forward. In general, to prove " $A\subset B$" you show: "if y is a member of A then y is a member or B". Here you want to prove: $Im(S+ T)\subset Im(S)+ Im(T)$ If y is in
Im(S+ T) then y= (S+ T)x for some x in V. But "(S+ T)x" is defined as Sx+ Tx s... | 4 | [
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Lindenbaum algebras and models
up vote 0 down vote favorite
Sorry for this question out of the blue (especially if its answer should be trivial, obvious, or folklore):
(When and how) can we construct models of a consistent first order theory $T$ from its Lindenbaum algebra?
More specifically: Is there an algebra... | 4 | [
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0.0... | 9,789 | 9789 | |
A nice problem that I am unable to solve
up vote 0 down vote favorite
I have a nice problem which is related to algebra and polynomials or even operator theory. I would be very grateful if any of you could solve it. Here is the problem: Consider the function $f_0(x) =x
(1-x)$ and for $n \geq 0$ define $$f_{n+1}(x) =\f... | 5 | [
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calc 1 sin(x^3) integral
November 22nd 2008, 02:35 PM #1
Member
Joined
Oct 2008
Posts
76
calc 1 sin(x^3) integral
I've searched online for an answer to this, but the answers I've found are full of (gamma?) notation that I don't understand and haven't yet been taught. I didn't think it should be that
... | 4 | [
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Hard Logic Problem of True or False questions
November 17th 2012, 07:39 PM
blehbleh
Hard Logic Problem of True or False questions
A contest consists of 30 true or false questions. You know nothing about the subject matter.
Whenever you answer the contest problem you are told of the number of questions you an... | 5 | [
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EXACT BINOMIAL CONFIDENCE LIMITS
Dataplot Vol 1 Auxiliary Chapter
EXACT BINOMIAL CONFIDENCE LIMITS
Name:
EXACT BINOMIAL CONFIDENCE LIMITS (LET)
Type:
Purpose:
Compute the exact binomial confidence limits for a binomial proportion.
Description:
The binomial proportion is defined as the number of su... | 5 | [
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"Writing a Radical Quotient in Lowest Terms"
February 5th 2007, 12:24 PM #1
"Writing a Radical Quotient in Lowest Terms"
Could someone please help me write this radical quotient in lowest terms? My textbook didn't give me an example for one like this. I'm confused.
$\frac{12-\sqrt{40}}{4}$
All it wants ... | 4 | [
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Solving an integral by parts or by substitution?
February 22nd 2013, 02:36 AM #1
Newbie
Joined
Feb 2013
From
Reading
Posts
7
Solving an integral by parts or by substitution?
Hi all,
I'm wondering is it bettetr to solve the integral v/((1 + v^2)^1/2) dv using integration by parts, making v'=((1+v... | 5 | [
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When are the eigenspaces of the Laplacian on a compact homogeneous space irreducible representations?
up vote 20 down vote favorite
10
I was writing up some notes on harmonic analysis and I thought of a question that I felt I should know the answer to but didn't, and I hope someone here can help me. Suppose I have a c... | 4 | [
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0.... | 9,796 | 9796 | |
Poisson as Binomial
January 3rd 2009, 01:06 AM #1
Member
Joined
Jan 2009
Posts
83
Poisson as Binomial
A textbook has n pages. The number of mistakes on a page is a poisson random variable with parameter a, and is independent of the number of mistakes on all other pages.
Question 1: What is the expec... | 5 | [
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proof - binomial fraction simplifies to a constant
November 6th 2012, 02:44 PM
indymogul
proof - binomial fraction simplifies to a constant
Hi, just starting chapter review of Algebra 1. The first question is:
Show that the following simplifies to a constant when x =/= 1/2:
x - 1 3 - 7x
------- + -... | 4 | [
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Partial derivative
In this case, $y$ can be treated as a constant. $\frac{\partial}{\partial x}\left(\frac{1}{7} \frac{\sin(6xy)}{x^4y}\right)$ Using product rule, we can set $u= \sin(6xy)\rightarrow u' = 6y\cos(6xy)$
and $v=\frac{1}{7yx^4}\rightarrow v'=\frac{-4}{7y}\left(\frac{1}{x^5}\right)$. Product rule: $\frac{\m... | 5 | [
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