content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A problem from "First course in Probability"-Ross
December 3rd 2008, 11:48 AM #1
Newbie
Joined
Nov 2008
Posts
5
A problem from "First course in Probability"-Ross
Given that X and Y are independent continuous positive random variables, express the density of the random variable Z in terms of the density o... | 5 | [
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0.080078125,
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0.01324462890625,
-0.068359375,
-... | 45,300 | 45300 | |
What is the Varinace of the sample variance of iid normal distributed variables
May 10th 2010, 08:02 AM
pimponi
What is the Varinace of the sample variance of iid normal distributed variables
Hi Guys
I have a sample of N iid normal distributed variables. And I need to calculate the Variance of the Maximumlik... | 5 | [
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... | 45,301 | 45301 | |
Class Field Theory & the Bost-Connes System
In this post I describe the classification of the KMS states of the Bost-Connes system and their relationship to the class field theory of $\mathbb{Q}$, additionally, we show how the rational
subalgebra gives us a presentation of $\mathbb{Q}^\text{cycl}$ without any reference... | 4 | [
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0.001014... | 45,302 | 45302 | |
Chi Square Testing, Would GREATLY Appreciate Review of My Work + Help
November 13th 2012, 03:18 PM #1
Newbie
Joined
Nov 2012
From
wilmington
Posts
1
2. Using the following data, test the question that an equal number of Democrats, Republicans, and Independents voted during the most recent election. Te... | 4 | [
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Free response question help
February 12th 2010, 06:36 AM
wisezeta
Free response question help
I would appreciate some help with this problem, I have some ideas how to approach it but I'm confused on what to do on some parts.
Consider the curve given by y^2= 2+xy
1) show that dy/dx= y/2y-x (im pretty su... | 4 | [
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Converting scalar equation to vector equation
If you're given a scalar equation
2x-y+3z-24=0
And you're asked to find a vector equation, how can you do this?
It is a plane. That's the whole question.
Do you mean write it as a vector?
$[2, -1, 3]^T = 24$
Quote:
There are two ways... | 4 | [
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dy
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1.
soty2013 Group Title
Best Respo... | 5 | [
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Pappus Chain
Pappus Chain
From Math Images
Pappus Chain
Pappus chain consists of all the black circles in the pink region.
Basic Description
A chain of inscribed circles is called a Pappus Chain when its first circle $C_1$ is tangent to the three semicircles forming the Arbelos, and all the subsequent cir... | 4 | [
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Mordell-Weil of an elliptic surface after adjoining a nontorsion section: as small as possible?
up vote 5 down vote favorite
1
Let $k$ be an algebraically closed field of characteristic $0$, let $C_{/k}$ be a nice (smooth, projective, geometrically integral curve), let $K = k(C)$, and let $\overline{K}$ be an algebrai... | 5 | [
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Combinatorics
April 4th 2008, 05:29 AM #1
Senior Member
Joined
Nov 2007
Posts
329
Combinatorics
How many different ten-digit number can be created using only 2s and 0s which is divisible by 4 and doesn't contain two neighbouring 0s?
I know that the last two digits as a number have to be a multiple o... | 4 | [
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Using Differentiation Term by Term Theorem to Study the Partial Differential Problems
Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan
Abstract
This article takes the mathematical software Maple as the auxiliary tool to study the partial differential proble... | 5 | [
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How do I finish this evaluation of reduction formula?
March 5th 2010, 06:31 AM #1
Member
Joined
Oct 2008
Posts
157
How do I finish this evaluation of reduction formula?
I wanted to find a reduction formula for $\int_0^{\pi/4} tan^n x dx$
And I found this as $I_{n} = \frac{1}{n-1} - I_{n-2}$
I f... | 5 | [
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Cliques in the Paley graph and a problem of Sarkozy
up vote 9 down vote favorite
The following question is motivated by pure curiosity; it is not a part of any research project and I do not have any applications. The question comes as an interpolation between two notoriously
difficult open problems.
The first problem... | 4 | [
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Real roots
June 25th 2008, 02:22 PM #1
Newbie
Joined
Feb 2007
Posts
9
Real roots
Hi, I worked out a solution for this problem but I need someone to check it:
Prove that the roots of $(x-a)(x-b) = h^2$ are always real:
$x^2 -bx-ax+ab-h^2 =0$
$A= 1, B= -(a+b), C= ab-h^2$ where $B^2 - 4AC$ = p... | 4 | [
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ns and solving
When an expression is a product or a quotient, we can determine the sign of the expression on an interval by looking at the sign of each factor over the interval.
Examples
For each expression, we determine the values of
x
(the independent variable) which make it positive, negative, zero, or undefined... | 4 | [
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Random Probability
June 14th 2009, 05:27 PM
delishus
Random Probability
Hi, I am not able to figure out the following question. Any help is appreciated.
An insurance company looks at its auto insurance customers and finds that (a) all insure at least one car, (b) 85% insure more than one car, (c) 23% insure... | 4 | [
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Factoring Algorithms for Selected RSA Numbers
Introduction
RSA requires that we select two random prime numbers, p and q, and use them to generate a number n = p*q. n is called a semi-prime number since it has only two factors (aside from the number 1). In
an attempt to learn about factoring by examining different app... | 5 | [
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Integration
Can anyone help me with this problem? Integrate ln[(x^2)+2] dx Can this be done by integration by parts?
I can do the derivation but it is really long. Just go here if you want the answer without the derivation.
Hello, Csou090490! ∫ ln[x² + 2] dx Can this be done by integration by parts? . Yes! . . u .= .... | 5 | [
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Is geodesic plane field a Killing field?
up vote 3 down vote favorite
Let $M$ be a closed orientable Riemannian manifold. Recall that a plane field on a Riemannian manifold is said to be geodesic if any geodesic tangent to the plane field at one point is tangent to it
at every point. Is it true that if $E\subset TM$ a... | 5 | [
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Posts about computational geometry on Lucky's Notes
Point in a polygon
August 4, 2010
An important, yet basic problem in computational geometry is the following task: given a polygon (a sequence of points) and a point, determine if the point is inside, or outside the polygon.
To a human eye, this problem is trivial.... | 5 | [
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Localizing an arbitrary additive category
up vote 9 down vote favorite
10
Under which conditions localizing an additive category by some class S of morphisms yields and additive category? It seems easy to define certain addition on morphisms if we fix their representatives
as zig-zags (i.e. compositions of 'old' morph... | 4 | [
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please help, context free language
December 4th 2010, 07:29 PM #1
Newbie
Joined
Nov 2009
From
Canada, NWT
Posts
20
please help, context free language
In this question, we consider languages over the alphabet {0, 1,#}. If n is a positive integer,
let B(n) be the binary representation of n (with no... | 5 | [
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Math Forum Discussions
Re: Classification of quadrilaterals
Posted: Dec 20, 1994 7:00 PM
I like Professor Conway's classification of n-gons according to
symmetries very much.
I wish it captured the generic trapezoid in its classification, however.
I want to offer another classification scheme which is much less eleg... | 4 | [
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Critical points on a fiber bundle
up vote 6 down vote favorite
2
Consider a (smooth) bundle E→_B_, and a (smooth) function f: E → R on the total space. Then it makes sense to talk about the derivatives of f along the fibers. Let C be the subspace of E consisting
of all points for which all fiber-wise derivatives of f ... | 4 | [
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How to prove that every real number is a zero of some power series with rational coefficients (if true)
up vote 12 down vote favorite
4
How would one approach proving that every real number is a zero of some power series with rational coefficients? I suspect that it is true, but there may exist some zero of a non-anal... | 5 | [
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Find f'(x) using the definition of derivative
October 15th 2012, 04:40 PM
psilver1
Find f'(x) using the definition of derivative
Hey guys/gals, I have a midterm coming up Wends for my Calc class and we were given a practice test and there is a problem on here that I am struggling coming up with the correct answe... | 4 | [
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Category with a "metric" for arrow composition
up vote 22 down vote favorite
8
Consider a category $\mathcal C$ with a "distance" function $d:\mathcal C^2 \to \mathbb{R}_{\geq 0}$ satisfying the "triangle inequality"
$$d(x \to z)\leq d(x \to y) + d(y \to z)$$
for every pair of composable arrows $(x\to z)=(x \to y \t... | 4 | [
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1 Last question Guys
November 20th 2006, 09:26 PM #1
1 Last question Guys
Guys I really appreciate all of your help today, as I am trying very, very hard to learn all of this. Thanks to Soroban I am actually starting to grasp this concept, but I have one last question.
Suppose I had
Cos(2x)=3/5 and I kn... | 4 | [
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... | 45,327 | 45327 | |
1, 7, 23, 55, 109, 191, ___
Date: 10/03/2002 at 10:54:23
From: Luke Wahlstrom
Subject: Number pattern
My family is stumped on this number pattern. We have tried every way
we know to solve it. Could you help us out?
1,7,23,55,109,191,___ (fill in the blank)
Thanks!
Luke
Date: 10/03/2002 at 15:48:15
From: Doctor G... | 4 | [
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0.03076171875,
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-0.0712890625,
-0.0092... | 45,328 | 45328 | |
[SciPy-User] Unexpected covariance matrix from scipy.optimize.curve_fit
[SciPy-User] Unexpected covariance matrix from scipy.optimize.curve_fit
josef.pktd@gmai... josef.pktd@gmai...
Wed Aug 31 20:45:14 CDT 2011
On Wed, Aug 31, 2011 at 12:10 PM, <josef.pktd@gmail.com> wrote:
> On Wed, Aug 31, 2011 at 11:09 AM, Christ... | 5 | [
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Expectation inequality probelems
If E(X) < E(X') and E(Y) < E(Y') Can we prove that E(XY) < E(X'Y') ?
No, in general E(XY) < E(X'Y') is not true. First, if the variables are not independent, here is a counter example: X = 0, 1 with equal probability Y = X (not independent of X) X' = 0, 100 with equal
probability Y' = ... | 5 | [
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0.006500244140... | 45,330 | 45330 | |
Word problem
November 17th 2010, 11:12 AM #1
Newbie
Joined
Nov 2010
Posts
6
Word problem
so i missed this lesson and i cant seem to figure out what to do, ill just simplify the word problem....basically.
person 1 complete job in m-5 minutes
person 2 completes the job in m minutes
person 3 co... | 4 | [
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... | 45,331 | 45331 | |
Limits question L' Hopitals Rule
April 16th 2014, 02:47 PM #1
Junior Member
Joined
Mar 2014
From
United Kingdom
Posts
34
Limits question L' Hopitals Rule
lim x--> 0
$(1-cosx)^{3/2}/(x-sinx)$
I did LHop rule like 2 or 3 times and then split it into two terms, I got that both terms go to zer... | 5 | [
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A permutation/ race problem
November 6th 2012, 10:51 AM
zzizi
A permutation/ race problem
Permutation questions please help?
There are 12 children in a race wearing different coloured hats. 4 Red, 4 blue and 4 white hats.
How many possible outcomes of the race are there in which 3 of the first 5 child... | 4 | [
0.029296875,
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Tubular neighbourhood of a smooth curve
up vote 4 down vote favorite
2
In plane for a smooth non self intersecting curve $C$ the tubular neighbourhood can be constructed with non intersecting starigh line segments normal to the curve from points of the curve. If we use
the fact that the $\varepsilon$-tubular neighbour... | 4 | [
0.0021209716796875,
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Find the maximum
No but unfortunately I need a solution without using calculus. Maybe with using some well-known inequalities (AM-GM, Cauchy, etc.) and some tricks...
Although you need to find a solution without using calculus, that doesn’t mean you can’t use calculus to find what the maximum value might be. The probl... | 5 | [
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0.01770... | 45,335 | 45335 | |
can someone please help me with this optimization problem
up vote 0 down vote favorite
Hi all,
I'm a CS major and don't quite understand the mathematics behind a optimization problem coming from a machine learning algorithm. The algorithm is in Section 5 of the paper http://visl.technion.ac.il
/bron/publications/BroB... | 4 | [
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second order problem
May 18th 2011, 08:28 PM #1
Newbie
Joined
Jun 2010
Posts
17
second order problem
I have a dynamic model like below:
xddot = u1;
thetaddot=u2;
yddot=u1 tan (theta) + (xdot tan (theta) - ydot)
I want to convert it into the second order chained form as:
y1ddot = v1;... | 5 | [
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... | 45,337 | 45337 | |
s
Introduction
A normally loaded beam is subject to both bending and shear forces. The standard equations for stress and strain for beams ( flexure formulae ) generally only consider the bending stresses and
strains. The shear stresses and strains are not considered as they are generally small relative to the bending... | 5 | [
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Exponents and the Value of X
February 27th 2007, 03:01 PM
Rimas
Exponents and the Value of X
Let r be the result of doubling both the base and the exponent of a^b, with b not = o. If r equlas the product of a^b and X6b what is the value of x?
February 27th 2007, 04:52 PM
topsquark
Quote:
X6b is supp... | 4 | [
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If $f(x)+f(2x)$ is quasianalytic, is $f(x)$ necessarily quasianalytic?
up vote 3 down vote favorite
Assume that $f\in C^{\infty}$ and that $M_n$ is a sequence such that $$\sum_{n=0}^{\infty}\frac{M_n}{(n+1)M_{n+1}}=\infty$$
and for certain compact neighborhood of the origin $U$ of $\mathbb{R}$, there is a constant $A... | 5 | [
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dy
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Here's the question you clicked on:
kaiteDID Group Title
Use the three steps t... | 4 | [
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... | 45,341 | 45341 | |
smooth projective curve
up vote 2 down vote favorite
1
Given a morphism $\phi : X\rightarrow Y$ of smooth projective varieties and a non-constant map $f : C\rightarrow Y$, where $C$ is amooth projective curve, how to construct a smooth projective curve
$C'$ with non-constant map $g : C'\rightarrow X$ such that $\phi \... | 4 | [
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0.00701... | 45,342 | 45342 | |
Finding the Limit
can someone explain to me how sqrt(x^2 + x^4) became sqrt(1+x^2)?
You can factor out an x^2 from the expression under the square root: $\sqrt{x^2(1+x^2)}$ and, by the laws of surds, $\sqrt{x^2}\sqrt{1+x^2} = |x|\sqrt{1+x^2}$ The |x| which is now outside the radical
is cancelled with the x in the nume... | 4 | [
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0.0634765625,
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-0.... | 45,343 | 45343 | |
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Topic: Misner, Thorne and Wheeler, Exercise 8.5 (c)
Repli... | 4 | [
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0.0184326171875,
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-0.016845703125,
-0.05419921875,
-0.... | 45,344 | 45344 | |
Quasi-Eigen Systems
In a previous note we discussed the equivalence between eigenvalues and eigenvectors, and briefly considered the mapping between the normalized components of an eigenvector and the ratios of the
components (i.e., eigenvalues) of that same vector. In either of these interpretations, only the ratios ... | 4 | [
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0.0225830078125,
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0.04150390625,
-0.01977539062... | 45,345 | 45345 | |
Modelling Microprocessors
Previous Contents Next
Chapter 9: Modelling Microprocessors
For the main coursework you will have to write a Maude description of a Microprocessor - so in this chapter, we will look at exactly how we go about doing that.
9.1. States and State Evolution
When we modelled simple hardware exam... | 4 | [
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-0.00582... | 45,346 | 45346 | |
What braking strategy is most fuel-efficient?
up vote 13 down vote favorite
4
You notice a stop-light ahead of you and it is currently red. You can't run the red light, so you will have to brake, but braking wastes energy and you want to be as fuel efficient as possible. What
braking strategy maximizes efficiency?
Le... | 5 | [
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ath
subring
subring
Let $(R,+,*)$ a ring. A subring is a subset $S$ of $R$ with the operations $+$ and $*$ of $R$ restricted to $S$ and such that $S$ is a ring by itself.
Notice that the restricted operations inherit the associative and distributive properties of $+$ and $*$, as well as commutativity of $+$. So for ... | 4 | [
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... | 45,348 | 45348 | |
Using De Moivre's Theorem
Using De Moivre's Theorem find all the solutions (z) to he equation: Z^6-1=jroot3 j being the imaginary number
So z^6 = 1 + i*sqrt(3) Can you write the right side in polar/trig form? z^6 = 2[cos(60) + i*sin(60)]
De moivre's theorem; Z^n=r^n[cos(n theta) + i sin (n theta)] The answers that im... | 5 | [
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0.0510... | 45,349 | 45349 | |
Fixing a mistake in "An introduction to invariants and moduli"
up vote 9 down vote favorite
2
On page 13 of the book "An introduction to invariants and moduli" of Mukai http://catdir.loc.gov/catdir/samples/cam033/2002023422.pdf there is a mistake, in the end of the proof of Proposition 1.9.
It seems to me that this pr... | 5 | [
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[SciPy-user] Using SciPy/NumPy optimization
Brandon Nuttall bnuttall@uky....
Wed Feb 28 09:56:04 CST 2007
Folks,
I've gotten further, but still am not there. I have the following code:
import numpy as np
from scipy.optimize import fmin_tnc
class hyp_func:
def __init__(self,*args):
self.x, self.y = ar... | 4 | [
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[Scipy-svn] r5289 - trunk/scipy/stats
scipy-svn@scip... scipy-svn@scip...
Fri Dec 26 16:03:46 CST 2008
Author: josef
Date: 2008-12-26 16:03:43 -0600 (Fri, 26 Dec 2008)
New Revision: 5289
Modified:
trunk/scipy/stats/stats.py
Log:
cleanup docstrings of t-tests and ks-tests
Modified: trunk/scipy/stats/stats.py
====... | 5 | [
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Renormalizing the Mandelbrot Escape
Anyone who has ever scratched the surface of the Mandelbrot set knows that it involves counting to infinity. Counting to infinity is rarely a light undertaking, and doing so often leaves the counter
unsatisfied. For those imaging the Mandelbrot Set, this count is usually avoided by ... | 4 | [
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0.0038909912... | 45,353 | 45353 | |
Integrating 'sec(x)' Using T-Substitution
August 3rd 2008, 10:38 AM #1
Integrating 'sec(x)' Using T-Substitution
Can someone check my working out and point out errors (if any). Also, if correct, can someone show me how to simply it so that it is equivalent to any of the forms:
$\ln \left[ \tan \left(\frac{\p... | 5 | [
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The middle eigenvalues of an undirected graph
up vote 16 down vote favorite
4
Let $ \lambda_1 \ge \lambda_2 \ge \dots \lambda_{2n} $ be the collection of eigenvalues of an adjacency matrix of an undirected graph $G$ on $2n$ vertices. I am looking for any work or references
that would consider the middle eigenvalues $\... | 5 | [
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Comparing Two Proportions
Categorical Data: Comparing Two Proportions
Learning Objectives:
1. Be able to conduct a hypothesis test comparing two proportions
2. Understand what a “pooled estimate” is for conducting these calculations
3. Be able to interpret the results of a hypothesis test comparing two proportions... | 5 | [
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0.0439453125,
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0.07470703125,
0.0615234375,
-0.0093994140625,
-0.0771484375,
0.024658203125,
-0.035888671875,
0.01080322265625,
0.0439453125,
-0.111328125,
-0.051513671875,
-0.0498046875,
0.06494140625,
-0.01068115234375,
0.046875,
0.06982421875,
-0.018... | 45,356 | 45356 | |
Binomial series (range of validity)
June 28th 2011, 04:51 PM #1
Member
Joined
Oct 2006
Posts
185
Thanks
1
Binomial series (range of validity)
Expand (1-x)^(1/2) * (1+2x)^(1/2)
(1-x)^(1/2) * (1+2x)^(1/2)
= 1 + (1/2) x - (9/8)x^2 + (9/16)^3 - (117/128)x^4 + (279/256)x^5 + ...
the range of... | 4 | [
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-0... | 45,357 | 45357 | |
limit as x approaches -infinity?
October 6th 2009, 07:54 PM
katekate
limit as x approaches -infinity?
What is the limit as x approaches -inf of sqrt(x^2+5x+1) -x
I've tried to do this using the conjugate and I got -5 but my answer sheer tells me thats not it...but I don't know how to get the right answer
O... | 5 | [
-0.07568359375,
0.0137939453125,
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0.03515625,
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0.0186767578125,
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-... | 45,358 | 45358 | |
norm convergence law question
April 12th 2012, 10:13 AM
transgalactic
norm convergence law question
i noticed in this problem
that the norm gives us a series which is diverging.
then they proove that its a couchy series so its converging
why?????(i thought that if the sum of te norm is dievrgant t... | 5 | [
-0.0205078125,
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0.068359375,
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-... | 45,359 | 45359 | |
Problems with Industrial & Health Applications
The authors of this sourcebook have attempted to collect problems from the area industries that we surveyed. Every attempt was made to use realistic numerical values, and most of the problems do
reflect the types of mathematics encountered on the job.
A few of the proble... | 4 | [
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Scientific Notation: Adding and Subtracting Exponents
Associated Topics || Dr. Math Home || Search Dr. Math
Scientific Notation: Adding and Subtracting Exponents
... | 4 | [
0.010498046875,
0.042236328125,
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0.0625,
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... | 45,361 | 45361 | |
Two problems dealing with linear approximation and inflection points
January 2nd 2008, 03:21 PM #1
Newbie
Joined
Aug 2007
Posts
9
Two problems dealing with linear approximation and inflection points
Okay here are two problems that have my friends and I stumped as we can't figure out a correct answer.
... | 5 | [
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-0.... | 45,362 | 45362 | |
Wave equation
From Conservapedia
The wave equation is among the most well known, elegant, and important equations in all of mathematical physics. A great many physical problems, usually relating to wave motion or vibration, turn
into the wave equation when analyzed mathematically. Some of these applications will be d... | 4 | [
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-0.067382... | 45,363 | 45363 | |
Easy Derivative Problem that I don't Understand
February 14th 2010, 08:03 PM #1
Member
Joined
Feb 2010
From
NYC
Posts
98
Easy Derivative Problem that I don't Understand
I'm not sure how to attack this. I've used online Derivative Calculators and they only help me to go from point A to B quickly. The ... | 5 | [
-0.06591796875,
0.0302734375,
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Examples where it's useful to know that a mathematical object belongs to some family of objects
up vote 45 down vote favorite
25
For an expository piece I'm writing, it would be useful to have good examples of the following phenomenon:
(1) ${\cal X}$ is a parameterized family of somethings. (Varieties, schemes, manif... | 5 | [
-0.0712890625,
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0.0004730224609375,
0.0269775390625,
0.03955078125,
0.000286102294921875,
-0.0117797... | 45,365 | 45365 | |
Hilbert Modular Newforms
up vote 6 down vote favorite
3
Fix positive integers $k, N$ and let $\omega$ be a Dirichlet character mod $N$.
Let $f\in S_k(N,\phi)$ be a normalized newform (i.e. of weight $k$, level $N$ and character $\phi$) with fourier expansion $\sum_{n\geq 1} a(n)q^n$. In her paper 'Newforms and Functi... | 4 | [
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0.018798828125,
-0.010498046875,
-0.0285644531... | 45,366 | 45366 | |
trigonometric
March 16th 2009, 08:57 PM
n7167113
trigonometric
(Angry)(Headbang)
I have 2 questions:
1. find for z ; where z^3=sqrt[imaginary]
2. Simplify: sin x/(1-cos x)
can somebody help me with these 2 questions showing working out?
Please & Thank You
March 16th 2009, 09:28 PM
Soroba... | 5 | [
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-0.0025... | 45,367 | 45367 | |
Fun With Fundamentals: Problem 197
Free load
Problem 197 — One and one don’t always make two, as this month’s problem by Jim Irlander of St. Louis shows.
“Thank heavens!” shouted Lucius Bluff, as the rental truck pulled into the driveway. The Lee Key Hydraulic Company was in severe danger of not meeting its special “... | 5 | [
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... | 45,368 | 45368 | |
Galaxy Spiral Arms
Concept developed by November 1997
Simple Newtonian gravitation is sufficient to explain the entire behavior of Galaxy Spiral Arms. The well-known Keplerian central force effect certainly dominates, but a Spiral Arm also
has internal mutual gravitation, which has surprisingly strong local effects!
... | 4 | [
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0.032958984375,
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-0.0252685546875,
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0.02600097... | 45,369 | 45369 | |
Airplane Engines
September 25th 2009, 01:31 PM
sadmath
Airplane Engines
"An airplane needs at least half of its engines working to stay airborne. If an engine independently functions with probability p, for what values of p is an airplane with three engines safer
than one with five engines?"
Ok, so I'm ... | 5 | [
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0.1259765625,
-0.0302734375,
-0.04443359... | 45,370 | 45370 | |
Linear Programming Problem-Maximizing Tents Produced
Date: 10/6/95 at 19:10:9
From: Christina Ching
Subject: Maximizing tent profits
Hi. I really need help. Actually, I need you to see if this
problem is correct. The problem is:
A manufacturer of a lightweight mountain tent makes a standard
model and an expedition... | 5 | [
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0.08544921875,
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0.07666015625,
-0.0380859375,
-... | 45,371 | 45371 | |
Intergral problem solving
December 11th 2009, 11:44 AM
mathcalculushelp
Intergral problem solving
Can somebody help me integrate
r(t)=t/1+t^2
I use the substitution method
t(1+t^2)^-1
let 1+t^2=u
2tdt=du
dt=du/2t
hence putting in ques
r(t)=∫t/u^-1 du/2t
=1/2∫u^-1 du
=... | 4 | [
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-0.1103515625,
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-0.033935546875,
... | 45,372 | 45372 | |
A little Physics help from a newbie...
June 21st 2007, 12:28 PM
John 5
A little Physics help from a newbie...
I am stuck on the following problems:
1.) One student, using unit analysis, says that the equation V=√2ax is dimensionally correct. Another says it isn't. With whom do you agree, and why?
2.) A... | 4 | [
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... | 45,373 | 45373 | |
inverse of sine?
12-13-2011 #1
inverse of sine?
Hey guys, I just have a quick question. Is there a true inverse of sine? now I know that an inverse of sine wouldn't be a function, but what if we restricted it. then wouldn't you be able to make
a kind-of inverse function?
Ok I i'm just going to come out a... | 4 | [
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0.0625,
0.0263671875,
0.037109375,
-0.0308837890625,
-0.0150146484... | 45,374 | 45374 | |
find the volume of the solid obtained by rotating the region bounded by..........
November 10th 2012, 11:20 PM
iFuuZe
find the volume of the solid obtained by rotating the region bounded by..........
find the volume of the solid obtained by rotating the region bounded by: y=x^3, y=8, x=0 about the y-axis
I ... | 5 | [
0.0211181640625,
0.060791015625,
-0.012451171875,
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0.12890625,
-0.028076171875,
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0.04052734375,
0.01904296875,
-0.0255126953125,
-0.0029144287109375,
-0.0327148... | 45,375 | 45375 | |
Derivatives Help ~ Help Appreciated
February 13th 2013, 02:30 PM
michellederz
Derivatives Using Product and Chain Rule ~ Help Please?
I can't seem to figure out the following derivative:
Find D[x]y
y = (3x-3)^2(2-x^5)^3
Here is the work I have done so far..
Let u = 3x-3
Let y = u^2
= (... | 5 | [
0.0091552734375,
-0.046142578125,
-0.01043701171875,
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0.0245361328125,
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0.0810546875,
-0.03564453125,
... | 45,376 | 45376 | |
Math Forum Discussions
fom
Posts: 1,968
Registered: 12/4/12
Re: the range of values for "Pi".
Posted: Feb 4, 2014 3:24 AM
On 2/3/2014 8:37 AM, quasi wrote:
> quasi wrote:
>> Niels Diepeveen wrote:
>>> quasi wrote [edited]:
>>>>
>>>> Conjecture:
>>>>
>>>> Fix a norm on R^2.
>>>>
>>>> Let S = {v in R^2 : |v| = 1} where... | 4 | [
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-0.10791015625,
0.07568359375,
-0.0578... | 45,377 | 45377 | |
Prove Identities with Induction method
September 14th 2010, 07:37 AM #1
Newbie
Joined
Sep 2010
Posts
1
Prove Identities with Induction method
Using the Induction method, prove for n-1
1 + 3 + 9 + 27+ . . . 3n-1= (3n-1)/2
1*20 + 2*21 + 3*22 + . . . + n*2n-1 = (n-1)2n + 1
You copied the sums... | 4 | [
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0.046630859375,
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0.0038604736328125,
-0.054443359375,
-0.0771484375,
-0.05810546875,
0... | 45,378 | 45378 | |
Homework Help
Posted by Edwin on Sunday, March 14, 2010 at 5:29am.
Two spheres S1 and S2 of the same metal and having the same type of surface, have radii 20cm and 10cm respectively. Compare their rates of fall of temperature as they cool (a) when S1 is at 50 degree
centigrade, S2 is at 40 degree centigrade, the surro... | 4 | [
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-0.062255859375,
0.0002803802490234375,
0.0649414... | 45,379 | 45379 | |
congruence modulo twenty four
March 22nd 2010, 01:49 AM #1
Member
Joined
Nov 2009
Posts
169
congruence modulo twenty four
1. if ab ≡ −1 (mod 24), then a + b ≡ 0 (mod 24).
2. If n ≡ −1 (mod 24), then it is not a perfect square, and the number of divisors is even.
3. If n ≡ −1 (mod 24), then 24 div... | 5 | [
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0.040771484375,
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0.07177734375,
-0.0654296875,
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-0.0634765625,
-0.036376953125,
-0.054931640625,
-0.0021514892578125,
0.001983642578... | 45,380 | 45380 | |
Boundedness of nonlinear continuous functionals
up vote 8 down vote favorite
3
Let $K$ be the closed unit ball of $C[0,1]$, and let $f$ in $C(K,\mathbb{\, R})$. Is it true that there exists an infinite dimensional reflexive subspace $E$ of $C[0,1]$ s.t. $f(K\cap E)$ is bounded
?
If the answer is affirmative, this wou... | 5 | [
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0.0034332275390625,
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0.06005859375,
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-0.048095703125,
-0.0478515625,
0.01336669921875,... | 45,381 | 45381 | |
Math Forum - Ask Dr. Math Archives: High School Imaginary/Complex Numbers
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HIGH SCHOOL
About Math
Analysis
Algebr... | 4 | [
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-0.0181884765625,
-0.0439453125,
0.0108642578125,
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0.07275390625,
0.03759765625,
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0.036865234375,
0.00946044921875,
0.099609375,
-0.0205078125,
-0.0184326171875,
-0.038818359375,
0.037841796875,
... | 45,382 | 45382 | |
Series and Sequences help
April 9th 2010, 03:47 PM
Simon777
Series and Sequences help
My book already tells me the answer to a problem and does it step by step, but I have a question b/w a step.
The original question is here:
Sigma from 1 to infinity of 3^(2k)*5^(1-k)
After that, the book says to ... | 4 | [
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0.028564453125,
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-0.01092529296875,
-0.0859375,
0.046386... | 45,383 | 45383 | |
Optimization problem
December 14th 2008, 09:40 AM
VkL
Optimization problem
You need to manufacture a cylindrical pot, without a top,
with a volume of 1 ft3. The cylindrical part of the pot is to be made of aluminum, the bottom of copper. Copper is five times as expensive as aluminum. What dimensions would mi... | 5 | [
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0.072265625,
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0.00579833984375,
0.0598144... | 45,384 | 45384 | |
Complex Numbers
Using the Theorem: exp^i(theta) = cos(theta) + i*sin(theta) Show that: log(-abs(x)) = log(abs(x)) + i*pi
Hello, superdael! Using the theorem: . e^{iθ} .= .cosθ + i·sinθ show that: .ln(-|x|). = .ln(|x| + i·π In the theorem, let θ = π . . and we have: .e^{i·π} .= .cos(π) + i·sin(π) .= .-1 Hence: .ln(-1) ... | 5 | [
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-0.0927734375,
-0.0283... | 45,385 | 45385 | |
Permutation Combination
Permutation Combination - Practice Questions
A collection of questions that typically appear from the topic of Permutation and Combination.
1. Question 1: A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selection... | 4 | [
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0.007568359375,
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0.032470703125,
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0.0693359375,
-0.0712890625,
0.022216796875,
-0... | 45,386 | 45386 | |
L'Hopital's Rule
Could someone help me use L'Hopital's Rule to find the following limit? lim (as x approaches 0) (1+(3/x))^x Thank you.
You need to get an indeterminate form such as 0/0 or inf/inf to apply l'Hôpital. $\left( {1 + \frac{3}{x}} \right)^x = e^{\ln \left( {1 + \frac{3}{x}} \right)^x } = e^{x\ln \left( {1 ... | 5 | [
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0.020263671875,
-0.034423828125,
0.... | 45,387 | 45387 | |
differentiating negative powers of e
October 17th 2012, 11:06 AM #1
Member
differentiating negative powers of e
Re: differentiating negative powers of e
Just in case a picture helps...
... where (key in spoiler) ...
Spoiler:
__________________________________________________ __________
... | 5 | [
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0.023315... | 45,388 | 45388 | |
An operation * has 2 possible identity element:which one's the real identity element?
August 24th 2012, 02:32 PM
x3bnm
An operation * has 2 possible identity element:which one's the real identity element?
The rule to find identity element is laid out on Pinter's Abstract Algebra book like this on page 24:
... | 5 | [
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-0.03173828125,
-0.0103149... | 45,389 | 45389 | |
Mechanical Engineering Archive | October 05, 2007 | Chegg.com
Mechanical Engineering Archive: Questions from October 05, 2007
• Anonymous asked
0 answers
• Anonymous asked
0 answers
• Anonymous asked
0 answers
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Anonymous a... | 4 | [
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0.019775390625,
0.0047607421875,
-0.... | 45,390 | 45390 | |
Vector Proof
Date: 01/17/99 at 00:42:34
From: Olivia
Subject: Vector proofs
I've been having some difficulty with solving vector proofs. I kind of
know how to do them but don't know the proper way to write the
solution. I was wondering if you could please give me some tips or
help me out with the questions. It would... | 5 | [
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0.015625,
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... | 45,391 | 45391 | |
How to Compute the coordinate ring of flag variety?
up vote 9 down vote favorite
13
Let $G$ be algebraic group over $\mathbb(C)$(semisimple), $B$ be Borel subgroup. consider flag variety $G/B$. It is known that $G/B$ is projective variety. So one consider the homogeneous coordinate
ring $ \mathbb{C}[G/B]$, it is known... | 4 | [
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... | 45,392 | 45392 | |
series with factorial
Hello, buttonbear! Without the Ratio Test, I'm not sure of the proof. $\sum_{n=1}^{\infty}\frac{n!}{n^n}$ . Determine whether the series converges or diverges The Ratio Test provides some interesting
maniputations . . . $R \;=\;\frac{a_{n+1}}{a_n} \;=\;\frac{(n+1)!}{(n+1)^{n+1}}\cdot\frac{n^n}{n!}... | 5 | [
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-0.0... | 45,393 | 45393 | |
Slice knots and exotic $\mathbb R^4$
up vote 7 down vote favorite
4
In the http://arxiv.org/abs/math/0606464v1 I read
"If you want to prove existence of exotic smooth structure on $\mathbb R^4$ you can do this if you are in possession of a knot which is topologically slice but not smoothly slice (slice means zero
s... | 4 | [
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Piecewise constant functions with zero average
up vote 9 down vote favorite
5
Consider $0=t_0\leq t_1\leq...\leq t_n=1$, $f_0,...,f_{n-1}\in\mathbb{Z}$ and $F:[0,1]\to\mathbb{R}$ be such that
1) $F\equiv f_i$ on the interval $(t_i,t_{t+1})$, for all $i=0,...,n-1$,
2) $\displaystyle \int_0^1 F(t) dt=\sum_{i=0}^{n-1}(... | 5 | [
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-0.0233154296875,
-0.05590820... | 45,395 | 45395 | |
Decoupling lemma for the Lambda(p) problem
up vote 1 down vote favorite
I'm attempting to work through Bourgain's paper "Bounded orthogonal systems and the $\Lambda(p)$-set problem". There is a step in the proof of the decoupling lemma that I am stuck on, and thought
someone might be able to quickly clarify it. If som... | 5 | [
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-0.064453125,
-0.0145... | 45,396 | 45396 | |
Polynomial with real coefficients
May 19th 2008, 05:01 PM #1
Newbie
Joined
Jan 2008
Posts
2
Polynomial with real coefficients
I have a problem that I am not understanding for homework:
Find a polynomial with real coefficients, degree of 3, zeros of 2,1,-i, and satisfies the condition that f(0)=4
... | 4 | [
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0.02197265625,
0.01141357421875,
0.0162353515625,
-0.0185546875,
-0.044677734375... | 45,397 | 45397 | |
Find the value of p (with graph)
September 25th 2008, 10:15 PM #1
Member
Joined
Sep 2008
Posts
222
Find the value of p (with graph)
In the figure below, ABCD is a rectangle. Points A and C lie on the graph of $y=px^3$, where p is a constant. If the area of ABCD is 4, what is the value of p?
Sorry fo... | 4 | [
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Puzzle 111. Spoof odd Perfect numbers
Problems & Puzzles: Puzzles
Puzzle 111. Spoof odd Perfect numbers
It's almost believed that there is not any odd perfect number. But what about "almost" or "quasi" or "spoof" odd perfect numbers?
Descartes found one odd Spoof Perfect Number: 3^2.7^2.11^2.13^2.22021, that is odd ... | 5 | [
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0.01068115234375,
-0.0625,
0.... | 45,399 | 45399 |