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Topic: x^x as x->0 without L'Hospital
Replies: 0
x^x ... | 4 | [
0.007476806640625,
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0.02783203125,
0.059814453125,
-0.076171875,
-0.04... | 35,900 | 35900 | |
Does every irreducible representation of a compact group occur in tensor products of a faithful representation and its dual?
up vote 7 down vote favorite
2
(Previously posted on math.SE with no answers.)
Let $G$ be a compact Lie group and $V$ a faithful (complex, continuous, finite-dimensional) representation of it. ... | 5 | [
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0.02392578125,
0.08... | 35,901 | 35901 | |
Logarithm Equation
Associated Topics || Dr. Math Home || Search Dr. Math
Logarithm Equation
Date: 01/22/2002 at 1... | 4 | [
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0.048583984375,... | 35,902 | 35902 | |
totally ordered chain in the powerset with big cardinality
up vote 5 down vote favorite
Let $B$ be some set. The problem is to find a set $A\subset\mathcal{P}(B)$ of subsets of $B$ which is totally ordered by inclusion and such that there exists a bijection $A\leftrightarrow \mathcal{P}
(B)$.
This is an easy exercise... | 5 | [
0.00141143798828125,
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0.0311279296875,
0.07470703125,
0.0167236328125,
0.056884765625,
-0.0849609375... | 35,903 | 35903 | |
Canonical form of linear operators- upper triangular equivalence
Show that all upper triangular matrices with diagonal entries $\alpha$ and arbitrary other elements are equivalent if $a_{12},a_{23},...,a_{n-1,n}$ are nonzero
Consider $A=\begin{bmatrix} \alpha & a_{12} & \ldots & a_{1n}\\ 0 &\alpha & \ldots & a_{2n} \\... | 5 | [
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0.01062011... | 35,904 | 35904 | |
Optimization; find my error
October 6th 2009, 08:19 PM #1
Optimization; find my error
an offshore oil well located 5km from the shore. That point is 8km from the oil collection facility. It costs a million dollars per km to build piping in the water and 500,000 dollars per km to
build piping on the shore. Wha... | 5 | [
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0.0224609375,
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0.1591796875,
-0.042724609375,
-0.0018920898437... | 35,905 | 35905 | |
probability
June 17th 2008, 04:18 PM #1
Junior Member
Joined
Mar 2008
Posts
43
probability
Sasha and Pedro meet every Tuesday for a game of backgammon. They find that after winning a game, sasha has a 65% probability of winning the next game. Similarly, Pedro has a 60% probability of
winning after he... | 5 | [
0.0201416015625,
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0.056396484375,
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-0.04... | 35,906 | 35906 | |
integral
November 11th 2006, 09:17 PM
viet
integral
consider the function f(x) whose second derivative is f''(x) = 3x+2sin(x)
if f(0)=4, f'(x)=4. what is f(2) = ?
heres what i did
$f'(x) = \int (3x+2sin(x)$
$= \frac{3x^2}{2} - 2cos(x) + C1$
$f(x) = \int \frac{3x^2}{2} - 2cos(x) + C1$
$=... | 5 | [
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Portfolios, Interviews, and Exponent Rules
Portfolios and Interviews
So, I have less than two days left to obsess over my upcoming first interview. I've been researching the school district to find out as much as possible about it. There isn't much information on the
school website, but I did read through the middle ... | 4 | [
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0.033203125,
-0.0093383789... | 35,908 | 35908 | |
question on log expression
August 20th 2011, 02:33 AM #1
Newbie
Joined
Aug 2011
Posts
7
question on log expression
Dear all experts,
Would you all please kindly enlighten me with the following equation:
3(power of)2x+5 = 28(power of)x+1
after having a few goes at this equation i have beco... | 4 | [
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Celko's Summer SQL Stumpers: Prime numbers
Posted Saturday, July 25, 2009 5:09 PM
Comments posted to this topic are about the item Celko's Summer SQL Stumpers: Prime numbers
SSCommitted Books in Celko Series for Morgan-Kaufmann Publishing
Analytics and O... | 4 | [
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Finding Length
February 12th 2008, 01:05 PM #1
Junior Member
Joined
Feb 2008
Posts
49
Finding Length
What is the length of the plane curve defined by r(t) = <t^2 + 1, t^3 - 2> for t is an element of [0,2]?
Arc length for a parametric curve is given by:
$\int_{a}^{b}\sqrt{(\frac{dx}{dt})^{2}+(\f... | 5 | [
0.031982421875,
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... | 35,911 | 35911 | |
Quadrilateral inscribed in a circle
May 5th 2011, 09:56 PM
gundanium
Quadrilateral inscribed in a circle
Let a quadrilateral ABCD be inscribed in a circle such that AB=5, BC=3, CD=2 and Angle B=60 degrees.
Find length AC
Find length DA
Okay, i found AC but i can't seem to find DA. I know im suppose ... | 4 | [
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... | 35,912 | 35912 | |
Find a convex hull that contains given points?
up vote 3 down vote favorite
Suppose that you have vectors $a_{1},...,a_{m}$ in $\mathbb{R}^n$. Can you take $n$ among them, let $v_{1},...,v_{n}$ such that $a_{1},...,a_{m}$ belong to the convex hull of $(cn)v_{1},-(cn)v_
{1},...,(cn)v_{n},-(cn)v_{n}$ for some constant $... | 5 | [
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0.0169677734... | 35,913 | 35913 | |
irrational number?
Hopefully someone will give you a more elegant soln than mine! Assume that x is rational so the integers N and M exist such that: x=N/M Therefore, x*(1!2!3!.....M!) must be an integer. But $x*(1!2!
3!.....M!)=(1/1!+1/1!2!+1/1!2!3!+...)*(1!2!3!.....M!)$ Now the first M terms of this are integers. Defi... | 5 | [
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Finding the value of R/S
July 27th 2011, 07:20 AM
IBstudent
Finding the value of R/S
Let A be the total area of 5 circles with radius R. And let B be the total area of 3 circles with radius R. If A=B. What is R/S ?
I know that A = 5(pie)*r^2 = 3(pie)*s^2 = B
So, how can I find the value of r and s?
... | 4 | [
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From chain complex to simplicial abelian group
up vote 3 down vote favorite
In many places, I have seen the slogan that "simplicial abelian group = chain complexes of abelian groups". These same sources usually tell me how to go in one direction. Namely, given a simplicial
abelian group, one gets a chain complex whose... | 4 | [
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0.12597656... | 35,916 | 35916 | |
jordan forms
October 1st 2011, 06:44 AM
Juneu436
jordan forms
Hey, I am having some trouble doing these jordan form questions.
1. What are all the possible Jordan forms for a matrix whose characteristic polynomial is $(\lambda+2)^2(\lambda-5)^3$.
2. same as Q1 but the space of eigenvectors with eigenva... | 5 | [
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Spot the mistake.
$\int \frac{sin(ln(x))cos(ln(x))}{x} dx$ $u = sin(ln(x))$ $du = \frac{cos(ln(x))}{x} dx$ $\int u du$ $\frac{1}{2} u^2 + C$ $\frac{1}{2}sin^2(ln(x)) + C$
There is none. I assume you are surprised because the answer book or whatever says $-\dfrac{1}{2}\cos^2 (\ln x)+\mathcal{C}$ Both answers only diffe... | 5 | [
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Related Rates
A man 6 ft tall is walking toward a building at the rate of 5ft/sec. If there is a light on the ground 50ft from the building, how fast is the man's shadow on the building growing shorter when he is
30 ft from the building? :confused:
^_^Engineer_Adam^_^! i Quote: A man 6 ft tall is walking toward a buil... | 5 | [
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-0.06640625,
0.05810546... | 35,919 | 35919 | |
Positive definite symmetric matrix has maximal elements on diagonal
February 4th 2013, 09:31 AM #1
Newbie
Joined
May 2012
From
United States
Posts
17
Positive definite symmetric matrix has maximal elements on diagonal
Let A be a positive definite symmetric matrix. Prove that for any column (or row) t... | 5 | [
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0.0634765625,
0.015... | 35,920 | 35920 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: compact
Replies: 9 Last Post: May 18, 2013 9:56 PM... | 4 | [
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0.06884765625,
0.0120849609375,
-0.0150146484375,
-0.0191650390625,
-0.0240478515625,
-0.0588378... | 35,921 | 35921 | |
Math Forum Discussions
Re: Uncountable Diagonal Problem
Posted: Dec 30, 2012 4:32 AM
On Dec 30, 2:47 am, William Elliot <ma...@panix.com> wrote:
> A list of length eta, is a function from the ordinals < beta
I would call that a list of length beta, not eta.
> to a set of items. Mega-sequence will be used as a synon... | 4 | [
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0.0164794921875,
0.00093841552734375,
-0.08251953125,
0.03857421875,
0.0223388671... | 35,922 | 35922 | |
Singularity at the upper limit
May 13th 2008, 06:33 AM
donifan
Singularity at the upper limit
Hi,
I need to solve this integral from a physical model
$<br /> \int\limits_{a, 1} \frac{u}{u-1} du$
which is singular at the upper limit. The reason for the singularity is that the function reaches a max... | 5 | [
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0.01239013671875,
-0.0766601562... | 35,923 | 35923 | |
angle between lines
March 10th 2010, 12:37 PM #1
Senior Member
Joined
Oct 2008
Posts
323
angle between lines
find the angle formed by the intersection of each pair of lines
$2x+3y-z+9=0$ and $x+2y+4=0$
so the Cartesian coordiantes must be (2,3,-1) and (1,2,0) respectively
therefore the ang... | 4 | [
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Trigonometric Proofs
Associated Topics || Dr. Math Home || Search Dr. Math
Trigonometric Proofs
Date: 09/13/20... | 4 | [
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0... | 35,925 | 35925 | |
Inventory Management
An inventory is a stock or store of goods. A typical firm has about 30 percent of its current assets and as much as 90 percent of its working capital invested in inventory. Because inventories may
represent a significant portion of total assets, a reduction of inventories can result in a significan... | 5 | [
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-0.031982421875,
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0.08837890625,
-0.023803... | 35,926 | 35926 | |
Vector bundles on abelian varieties
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is there a big vector bundle $E$ on a complex abelian variety $A$ with $H^0(E\otimes P)=0$ for general $P\in Pic^0(A)$?
ag.algebraic-geo... | 5 | [
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0.052001953125,
0.08935546875,
-0.06298828125,
-0.044921875,
... | 35,927 | 35927 | |
Permutations Question
September 14th 2009, 03:33 PM #1
Junior Member
Joined
Sep 2009
Posts
39
Permutations Question
Hi, I'm having trouble with this question. Can anyone explain how to do it?
A students' council executive could consist of a president, vice-president, secretary, treasurer, social con... | 4 | [
-0.03173828125,
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0.0390625,
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0.0400390625,
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0.06982421875,
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0.0537109375,
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0.0145263671875,
... | 35,928 | 35928 | |
Deriving Inverse of Hilbert Matrix
up vote 14 down vote favorite
7
The Hilbert Matrix is the square matrix given by: $$H_{ij}=\frac{1}{i+j-1}$$ Wikipedia states its the inverse is given by: $$(H^{-1})_{ij} = (-1)^{i+j}(i+j-1) {{n+i-1}\choose{n-j}}{{n+j-1}\choose
{n-i}}{{i+j-2}\choose{i-1}}^2 $$ It follows that the ent... | 4 | [
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0.039794921875,
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-0.068359375,
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0.03466796875,
0.0269775390625,
... | 35,929 | 35929 | |
Evaluating Two Definite Integrals
Date: 02/28/98 at 16:52:35
From: Katie
Subject: calculus
Integral from 1 to -1, x^3 + 1/x + 1 dx =
answers: 12, 16, 18, 22, or none!
Date: 04/02/98 at 12:22:20
From: Doctor Sonya
Subject: Re: calculus
1) evaluate the indefinite integral
2) plug in upper and lower limits
3) si... | 5 | [
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-0.021484375,
0.0607910... | 35,930 | 35930 | |
Urgent Question
July 30th 2006, 03:27 PM #1
Newbie
Joined
Jul 2006
Posts
2
Urgent Question
Hi guys,
How do I do arithematic operations with functions like:
2cos(2t-45(degrees)) - 3cos(4t-45) + 5sin(3t+45)
Any help would be greatly appreciated.
Thanks
thebearot
Hi guys,
H... | 5 | [
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0.0712890625,
-0.... | 35,931 | 35931 | |
Shtetl-Optimized
Friday, July 4th, 2014
Foreword: Right now, I have a painfully-large stack of unwritten research papers. Many of these are “paperlets”: cool things I noticed that I want to tell people about, but that would require a lot
more development before they became competitive for any major theoretical comput... | 4 | [
-0.1318359375,
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0.00830078125,
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0.07958984375,
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-0.0137939453125,
0.01300048828125,
0.0380859375,
0.049072265625,
0.070... | 35,932 | 35932 | |
Uniformizing the surcomplex unit circle
up vote 6 down vote favorite
Is the multiplicative Group of surcomplex numbers of modulus 1 isomorphic to the additive Group of the surreal numbers modulo the sub-Group of surreal integers? And, do Norman Alling's surreal
extensions of sine and cosine (defined in section 7.5 of ... | 5 | [
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... | 35,933 | 35933 | |
Need help getting started
1. February 18th 2013, 02:51 PM #1
2. February 18th 2013, 02:59 PM #2
Re: Need help getting started
How about doing this
$\frac{x dx}{(x^2+y^2)^{3/2}} = - \frac{y dy}{(x^2+y^2)^{3/2}}$
multiply both sides by $(x^2+y^2)^{3/2}$
to get
$x dx = - y d... | 4 | [
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Help with an exponent
October 18th 2011, 10:38 AM #1
Newbie
Joined
Oct 2011
Posts
6
Help with an exponent
Im trying to learn algebra because i slacked in highschool so my friend is teaching me but is at school and i cant figure out how to do a problem. my issue is im not sure what to do with the 3/2.
... | 4 | [
0.032958984375,
0.0203857421875,
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0.083984375,
0.10498046875,
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-0.0927734375,
0.046142578125,
-... | 35,935 | 35935 | |
Small limit marathon
Hi !
Let $f(x)=x-a\ln x$ and $g(x)=\sqrt{2ax-x^2}$
$f'(x)= 1-\frac{a}{x}$
$f''(x)=\frac{a}{x^2}$
$g'(x)=\frac{x-a}{\sqrt{2ax-x^2}}$
\begin{aligned}g''(x)&=\frac{\sqrt{2ax-x^2}-(x-a)\cdot \frac{x-a}{\sqrt{2ax-x^2}}}{2ax-x^2}\\ &=\frac{2ax-x^2-x^2+2ax-a^2}{\sqrt{2ax-x^2}(... | 5 | [
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0.039794921875,
-0.0206298828125,
-0.005493164... | 35,936 | 35936 | |
parameterization and path integral
October 8th 2010, 01:26 PM #1
Newbie
Joined
Oct 2010
Posts
6
parameterization and path integral
Hey all, I have a question here and I can't seem to get around solving it.
Show that the circle that is the intersection of the plane x + y + z = 0 and the sphere x^2 +... | 5 | [
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-0.0625,
0.0023040771484375,
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-0.052246... | 35,937 | 35937 | |
Excel Formulas Tip Sheet
• Note: I use bracket symbols [ ] to represent the actual cell borders in the following examples.
• For individual cells, you *usually don't have to enter exact numerical data--just the cell numbers tha... | 4 | [
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0.01904296875,
0.033447265625,
-0.04516601562... | 35,938 | 35938 | |
Problem in obtaining a solution
August 20th 2010, 03:57 AM #1
Junior Member
Joined
Apr 2010
Posts
56
Problem in obtaining a solution
I have a problem in finding the solution of problem. The problem is as follows:
Find the maximum value of yz + xz subject to the two constraints, y + 2z = 1, x + z = 3... | 5 | [
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0.0286865234375,
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0.0546875,
-0.000957489013671875,
0.054931640625,
0.045654296875,
-0.0439... | 35,939 | 35939 | |
Probability of same event happening in a row
June 4th 2008, 09:13 AM #1
Newbie
Joined
Jun 2008
Posts
1
Hi, I've been wrecking my head all day with this and I can't figure it out. I'm guessing that it is obvious but I don't really have much of an education in probability.
What I want to know is if the... | 5 | [
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-0.042724609375,
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0.0908203125,
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0.004913330078125,
-0.00970458984375,
0.07568359375,
-0.018798828125,
-0.084472656... | 35,940 | 35940 | |
Abelianization of Lie groups
up vote 4 down vote favorite
3
If G is a group, its abelianization is the abelian group A and the map G → A such that any map G → B with B abelian factors through A. Abelianization is a functor, and in general a very lossy
operation. The map G → A is always a surjection/quotient, because w... | 4 | [
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0.0299072265625,
-0.004547119140625,
... | 35,941 | 35941 | |
Linear Spaces
October 8th 2009, 08:01 PM #1
Member
Joined
Oct 2008
Posts
124
Linear Spaces
1) If v is any vector in R^n, what are the possible dimensions of the space of all n x n matrices A such that Av = 0?
2) Find a basis of each of the following linear spaces, and thus determine their dimensions... | 5 | [
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0.031494140625,
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0.087890625,
0.0238037109375,
0.07470703125,
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0.051513671875,
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0.01531982421875,
-0.0732421875,
0.048828125,
-0.07763671875,
-0.03... | 35,942 | 35942 | |
I don't understand behavior of this integral, help!
up vote 4 down vote favorite
2
In an answer to a question I needed the following integral: $$ f(z):=\int\limits_0^\infty t\coth(zt)e^{-t^2}dt; $$ it represented deviation from modularity of some other function. However I noticed
that this only works in one area and f... | 5 | [
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-0.041015625,
-0.0... | 35,943 | 35943 | |
Job Selection Maths Questions
January 8th 2011, 09:52 AM #1
Newbie
Joined
Jan 2011
Posts
2
Job Selection Maths Questions
Hi,
As part of a job selection process I have to do a maths test, I have seen a sample of 4 questions, but I have no idea how to answer these, or what area of maths these are real... | 4 | [
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0.0118408203125,
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-0.09375,
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0.01239013671875,
-0.06396484375,
0.033935546875,
-0.0010223388671875,
-0.01416015625,
0.0537109375,
-0.02734375,
0.0224609375,
0.0439453125,
-0.03125,
-0.08984375,
... | 35,944 | 35944 | |
Does this "jumping-ahead" ordinal function exist?
up vote 7 down vote favorite
2
While working on a project in operator algebras with a collaborator (and fellow MO user), we are able to successfully complete a transfinite induction assuming that the following has an affirmative
answer.
Question: Let $\delta$ be a... | 5 | [
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0.06396484375,
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0.0247802734375,
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0.04248046875,
0.0150146484375,
0.07958984375,
0.053466796875,
-0.0303955078125,
0.06884765625,
0.025... | 35,945 | 35945 | |
Vector Questions
May 24th 2009, 12:57 PM #1
Newbie
Joined
May 2009
Posts
6
Vector Questions
a = 3i + 2j b=-9i + t. Determine t
Angle between vector a and b is 60
Given the vectors u = (-3,0,1) v= (-1,-2,2) determine
unit vector in the direction of v
v x u
Find the value of the di... | 4 | [
-0.06982421875,
0.037353515625,
-0.06640625,
-0.08642578125,
-0.01007080078125,
0.045654296875,
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0.045654296875,
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0.0010986328125,
0.10009765625,
-0.056884765625,
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0.011962890625,
-0.0291748046875,
-0.0159912109375,
-0.08349609375,
-0.079... | 35,946 | 35946 | |
Solving nonlinear systems without using systems
August 28th 2012, 05:25 PM #1
Solving nonlinear systems without using systems
x+y=1
xy=1
x^3+y^3=z
wolfram gives me x=-1^(1/3), y=1-(-1^(1/3)), and z=-2, and another set.
Not only can't I solve this problem without crutching with wolfram, there is su... | 5 | [
-0.095703125,
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0.0284423828125,
-0.06103515625,
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0.0004711151123046875,
0.03759765625,
0.00286865234375,
0.09716796875,
0.0458984375,
0.0277099609375,
0.0576171875,
-0.048828125,
-0.089... | 35,947 | 35947 | |
Counting Possible Combinations of Weights
Date: 10/07/2004 at 20:09:18
From: Sean
Subject: Number of possible combinations of weights
Dear Dr. Math -
If you have a set of weights, in sizes 50g, 25g, 15g, and 5g, how
would you go about determining how many possible combinations of
weights you could make to equal 85g?... | 4 | [
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0.09228515625,
0.010986328125,
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0.00054168701171875,
0.0201416015625,
0.0020599365234375,
-0.0164794921875,
0.07568359375,
-0.0476... | 35,948 | 35948 | |
Algebraic word problem
September 22nd 2008, 06:37 AM #1
Algebraic word problem
Okay so I know forums are generally really good at flaming and spamming people who post things in the wrong forum or break code etc but I'm kinda in a hurry so I'm sorry in advance if I posted
this in the wrong place. All I need is... | 4 | [
0.04931640625,
0.0211181640625,
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-0.0390625,
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0.048828125,
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0.01324462890625,
-0.08544921875,
0.09765625,
0.06494140625,
0.00665283203125,
0.09716796875,
0.09765625,
0.03662109375,
0.05908203125,
-0.0302734375,
-0.039794921875,
-0... | 35,949 | 35949 | |
Sets question (Proving)
June 15th 2011, 03:23 AM #1
Junior Member
Joined
Feb 2011
Posts
56
Sets question (Proving)
Prove that
(A U B)∩(B U C)∩(C U A) = (A ∩ B)U(A ∩ C)U(B ∩ C)
I am so clueless on solving this... can anyone help me?
Re: Sets question (Proving)
Try drawing a Venn Diagram.
... | 4 | [
0.0025787353515625,
0.021240234375,
0.00872802734375,
-0.0238037109375,
-0.021728515625,
0.00122833251953125,
0.1337890625,
-0.10546875,
-0.03857421875,
0.02294921875,
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0.064453125,
0.0048828125,
-0.004119873046875,
0.0084228515625,
-0.031982421875,
-... | 35,950 | 35950 | |
Statistics Questions
June 28th 2009, 12:45 PM #1
Newbie
Joined
Jun 2009
Posts
1
Statistics Questions
A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 7 ounces and a standard deviation of 1.4 opunces. The mager is gloing to randomly
sele... | 5 | [
0.053466796875,
0.038818359375,
0.021728515625,
0.0712890625,
-0.01025390625,
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0.09130859375,
0.042724609375,
0.013671875,
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-0.04052734375,
-0.03173828125,
-0.1083984375,
0.062255859375,
-0.022338... | 35,951 | 35951 | |
Integral
April 29th 2009, 04:31 PM
treetheta
Integral
If $x\sin (\pi x) = \int\limits_1^{{x^2}} {f(t)dt}$ where f is a continuous function find f(4) and f'(4)
use Fundamental therom of Calculus
so I know that I'm going to let
$u = x^2$
and then differentiate both sides but how do i defferentia... | 5 | [
0.0303955078125,
0.032470703125,
0.00994873046875,
0.029052734375,
-0.05029296875,
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0.01806640625,
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0.0162353515625,
0.037353515625,
-0.02587890625,
-0.0264892578125,
0.0185546875,
-0.043701171875,
-0.054931640625,
-0.01116943359375,
0.044... | 35,952 | 35952 | |
hypoerbolic identities
July 7th 2012, 08:32 PM #1
Junior Member
Joined
Jul 2012
From
Manchester
Posts
30
starting from the definition of sinhx, show that when x is real the real value of sinh^-1x is given by sin^-1(x)=ln((x+root(x^2+1))
Re: hypoerbolic identities
\displaystyle \begin{align*} y &... | 4 | [
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0.00732421875,
0.0546875,
-0.0050048828125,
-0.006134033203125,
-0.082031... | 35,953 | 35953 | |
Math Help
December 5th 2006, 03:19 PM #1
Newbie
Joined
Oct 2006
Posts
7
The graph of y=X^2 is reflected in the axis, then strethced vertically by a factor of 2, and then translated 3 untis to the left and 1 unit down. What is the equation of this parabola? write the
answer in standard form and genera... | 4 | [
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0.00830078125,
0.0172119140625,
0.06201171875,
-0.0205078125,
-0... | 35,954 | 35954 | |
Need some help with solving equations
November 18th 2007, 10:55 AM
finalfantasy
Need some help with solving equations
I am having a lot of trouble with these questions.
6. 5(sin 6t - 4cos 4t) = 0
-----------------------------------------------------
10. a) 3sin^2x - 8sinx - 3 = 0
This one I k... | 4 | [
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-0.042724609375,
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0.0211181640625,
0.0220947265625,
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0.11474609375,
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0.06982421875,
0.10498046875,
-0.005157470703125,
-0.03271484375,
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0.0... | 35,955 | 35955 | |
Matrices/Determinant problem
April 16th 2007, 08:14 PM
buckaroobill
Matrices/Determinant problem
Okay, so I had to row reduce the matrix below to upper-triangular form in order to find the determinant.
[0, 0, 2, 0, 0]
[2, 0, 58, 96, -1]
[2, 1, 58, 96, -1]
[0, 0, 2, -1, 0]
[1, 0, 58, 96, 2]
... | 4 | [
-0.029296875,
-0.007293701171875,
-0.08984375,
-0.07958984375,
0.02685546875,
-0.046142578125,
-0.0439453125,
0.0164794921875,
-0.1103515625,
-0.046875,
0.0849609375,
0.01287841796875,
-0.0478515625,
-0.0322265625,
-0.0341796875,
-0.028076171875,
-0.045654296875,
-0.051025390625,
... | 35,956 | 35956 | |
branch cut problem
I'll try (i) for $\alpha=1/2$: You can let $z=1+se^{i\phi}$ and $z=re^{i\theta}$ then $\sqrt{\frac{re^{i\theta}}{se^{i\phi}}}=\left(\frac {r}{s}\right)^{1/2}e^{i/2(\theta-\phi+2k\pi)}$ then $\arg f=\
frac{\theta-\phi}{2}+2k\pi$. Now consider (i) at various points around the circle $1/2 e^{it}$. At 1/... | 4 | [
-0.0223388671875,
0.019775390625,
-0.01904296875,
0.013916015625,
0.04248046875,
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0.0242919921875,
0.04833984375,
0.03759765625,
0.0025634765625,
0.029052734375,
-0.005126953125,
-0.0203857421875,
-0.0194091796875,
-0.01708984375,
-0.06884765625,
-0.039306640625,
-0.00... | 35,957 | 35957 | |
Patterns in the Perpetual Calendar
Date: 03/17/2000 at 03:09:16
From: Ella
Subject: Patterns in the perpetual calendar
I'm trying to find an answer to my question:
Why do some years (like 1717, 1923, 1934, 1945, 1951, 9162, 1973 etc)
that have the same calendar, have this calendar repeated every 6, then
11, then 11... | 4 | [
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0.021484375,
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0.041015625,
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0.04736328125,
-0.060791015625,
-0.138671875,
... | 35,958 | 35958 | |
Integration by Parts
April 2nd 2010, 04:24 PM #1
Junior Member
Joined
Nov 2009
Posts
54
Integration by Parts
Hi How do I do integrate:
(sinx)^n * (cosx)^2 when it is a definite integral between x = pi/2 and x = 0
This is NOT a candidate for "integration by parts". I would be inclined to use the... | 5 | [
-0.041259765625,
0.059326171875,
0.07666015625,
0.038818359375,
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0.01513671875,
-0.037353515625,
0.06787109375,
... | 35,959 | 35959 | |
Calc 1 area of plane curve
December 7th 2008, 10:40 AM #1
Member
Joined
Oct 2008
Posts
76
Calc 1 area of plane curve
Consider the parametric equation:
x = 3(cos(theta) + (theta)sin(theta))
y = 3(sin(theta) - (theta)cos(theta))
what is the length of the curve for theta = 0 to theta = 3/2(pi)... | 5 | [
0.0012054443359375,
-0.034912109375,
-0.0234375,
-0.03955078125,
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0.06298828125,
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... | 35,960 | 35960 | |
need help with a/(1-r) form
$f(x)=\frac{4}{4+x^2}$, c=0
$f(x)=\frac{4}{4(1+(\frac{x^2}{4}))} = \frac{1}{1+\frac{x^2}{4}} = \frac{1}{1-(\frac{-x^2}{4}))}$
$\sum^ \infty_ {n=0} (\frac{-x^2}{4})^n = \frac{-1}{4}\sum^ \infty_ {n=0} (x^2)^n$
If I did this right, where do I go from here?? Thank you.
| 5 | [
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0.0185546875,
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Poisson equation with special Neumann BC
up vote 1 down vote favorite
1
Hi
Consider Poisson equation with Neumann boundary condition but the right hand side of boundary condition is in term of the unknown function $u$. How we can solve it?
$\Delta u(x) = f(x)\quad in~ \Omega$
$\frac{\partial u(x)}{\partial n }=g(u... | 5 | [
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0.01495361328125,
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-0.027587890625,
-0.079... | 35,962 | 35962 | |
Homework Help
Posted by Tricia on Sunday, April 15, 2012 at 7:43am.
A student has a mean score of 88 on five tests taken. What score must she obtain on her next test to have a mean (average) score of 80 on all six tests?
• math - Bosnian, Sunday, April 15, 2012 at 7:53am
Mean score of tests :
( x1 + x2 + ... | 4 | [
0.0185546875,
0.0791015625,
0.0216064453125,
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0.0303955078125,
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0.017822265625,
-0.0815429687... | 35,963 | 35963 | |
Mechanics - Trick question?
May 29th 2010, 12:46 PM #1
Junior Member
Joined
Oct 2009
Posts
31
Mechanics - Trick question?
Hey all i was doing this mechanics 1 question but two parts of it dont make sense to me so i was wondering if i was doing the question correct.
Find velocity of the particle, $... | 5 | [
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0.0439453125... | 35,964 | 35964 | |
Proof relating to Rolle's and MVT
December 13th 2008, 04:57 PM
lakesfan210
Proof relating to Rolle's and MVT
Hello all,
I am being asked to prove that if f(0)=g(0) and f'>g', then f(x)>g(x). It makes perfect intuitive sense, but I am having difficulties in proving it rigorously. Any suggestions anyone could... | 5 | [
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0.078125,
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0.020751953125,
0.018310546875,
0.... | 35,965 | 35965 | |
empty set and functions
September 14th 2011, 01:24 AM #1
Member
Joined
Oct 2010
From
Mumbai, India
Posts
203
empty set and functions
Hi
I was solving some problem about the set of functions and a doubt came to me (is it correct english ?). Consider function
$f: A\longrightarrow B$
Cons... | 4 | [
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0.01507568359375,
-0.047... | 35,966 | 35966 | |
Some more Differential Equations
February 8th 2008, 01:51 PM
brd_7
Some more Differential Equations
The question states to find the solution of the following -
$\frac{d^2y}{dx^2} - 6\frac{dy}{dx} + 10y = 20 - e^2x$
I found the root, it was 3+- i
Im not too sure what to do after this, any help woul... | 5 | [
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0.0294189453125,
0.064453125,
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-0.07373046875,
0.060058593... | 35,967 | 35967 | |
Minimum value
July 21st 2009, 05:37 PM #1
Senior Member
Joined
Jan 2009
Posts
290
Minimum value
I'm amazed I'm stuck on this question.
I need to find the value of t at which it becomes the minimum value.
$|\vec b|^2-2t\vec ab+t^2|\vec a|^2$
I thought you complete the square to find the min... | 4 | [
0.00830078125,
0.00830078125,
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0.078125,
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0.1025390625,
0.031494140625,
-0.1123046875,
0.006... | 35,968 | 35968 | |
Extra credit word problem
October 26th 2006, 06:01 PM #1
Newbie
Joined
Oct 2006
Posts
4
Extra credit word problem
I need some help with this bonus problem. Any help would be appreciated.
A train rolls down a track at 60mph. It has wheels with radius = 15 in. The wheels contain a flange designed to h... | 4 | [
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0.043701171875,
... | 35,969 | 35969 | |
derivative of logs and a related rates problem.
June 6th 2013, 10:38 PM #1
Newbie
Joined
Mar 2013
From
USA
Posts
22
derivative of logs and a related rates problem.
I'm struggling a bit with log derivatives.
Problem #1.
y= $\sqrt[4]{\ln(3x)}$
I get :
y' = $\frac{1}{4(\ln(3x))^{3/4}... | 5 | [
0.056640625,
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0.08154296875,
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0.06103515625,
0.0537109375,
0.03515625,
-0.05419921875,
0.0032806396484375,
-0.... | 35,970 | 35970 | |
an equation in fractions
up vote 3 down vote favorite
I have an equation of the form $\sum_{i=1}^{m}{\frac{1}{a_{i}-x}}=\sum_{j=1}^{n}{\frac{1}{b_{j}-x}}$ and would like to express $x$ as a an approximate explicit function of the $a_{i},b_{j},m,n$. Have
you encountered such a problem?
na.numerical-analysis rational-f... | 5 | [
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-0.03515625,
0.10498046875,
0.0771484375,
0.0057373046875,
0... | 35,971 | 35971 | |
"Never-returning billiard balls"
October 21st 2010, 12:15 AM #1
Newbie
Joined
Oct 2010
Posts
13
"Never-returning billiard balls"
Here's a problem I'm strugling with dealing with bouncing billiard balls.
A ball is placed in a position P inside a rectangular billiard of size a x b (a < b).
Here we... | 4 | [
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0.03857421875,
-0.0859375,
... | 35,972 | 35972 | |
Another Circle
June 2nd 2007, 03:23 PM #1
Member
Joined
May 2007
Posts
150
Another Circle
Circle with radius of 10 in
Chord AB is 14 in
Find measure of minor arc AB and then actual length of minor arc AB
i'm a bit rusty on my circle theorems, so there may be an easier way to do this--but thi... | 4 | [
-0.004730224609375,
0.0546875,
-0.0289306640625,
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0.0218505859375,
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0.1044921875,
0.0185546875,
0.01904296875,
0.0166015625,
0.07... | 35,973 | 35973 | |
Iwasawa Decomposition & Polar Decomposition related how ?
up vote 7 down vote favorite
4
In an earlier post (Use Lie Sub-Groups of GL(3, R) for elastic deformation ? here), I mentioned polar decompositions as in F = RU where R in SO(3) & U in symmetric positive-semidefinite matrices. In
response, I received the follow... | 4 | [
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-0.0458984375,
0.00665283203... | 35,974 | 35974 | |
What are the generalizations of the 27 lines on a cubic surface?
up vote 13 down vote favorite
2
The following doubtlessly naive heuristic suggests to me that there might be some generalizations. I don't know whether, at one extreme, the story is classical, or at the other extreme, the heuristic
just fails.
Consider ... | 4 | [
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... | 35,975 | 35975 | |
Are all group monomorphisms regular, constructively?
up vote 5 down vote favorite
1
By "constructive" I mean something that would go through in CZF for example.
[added Oct 6] A sketch of a standard proof (such as referenced in comment below), which is almost constructive: Let H be a subgroup of G, and consider the (s... | 4 | [
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0.018310546875,
... | 35,976 | 35976 | |
Automorphisms of a specific type of weighted projective space
up vote 5 down vote favorite
2
A question very close to this one was already asked: Automorphisms of a weighted projective space
But the answer given does not satisfy my needs. So avoiding having two questions that are identical, I am interested in a speci... | 5 | [
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0.002044677734375,
0.0169677734375,
-0.01361083... | 35,977 | 35977 | |
Posts by
Total # Posts: 200
math
at a college function a total of 180 tickets were sold. the tickets were priced at $5,10,15 and the money collected that day was $1,900. the sum of the numbers of $5,and $15 tickets sold was twice
the number of $10 tickets sold. find the number of each type of ticket sold for ...
Pro... | 5 | [
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0.1005859375,
0.005706787109375,
-0.078125,
-0.07080078125,
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0.08984375,
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0.031982421875,
0.00897216796875,
-0.0390625,
0.07275390625,
0.034423828125,
-0.0810546875,
0.00494384765625,
-0.02685546875,
-0.03369140625... | 35,978 | 35978 | |
Energy Transformation
Date: 02/13/2003 at 09:25:48
From: Angela
Subject: Energy Transformation
Can you explain the formula for energy transformation on a roller
coaster?
I am mathematically challenged and can't help my 12-yr-old with his
homework. We found a formula on the Internet, but I can't help him
explain it.
... | 4 | [
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0.0302734375,
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0.03955078125,
-0.006927490234375,
0.05615234375,
0.08837890625,
0.1416015625,... | 35,979 | 35979 | |
Homework Help
Posted by Sharon on Friday, July 30, 2010 at 8:18pm.
A rectangular counter top is 16 inches longer than it is wide. If the area of the counter top is 420 square inches, find the length and the width.
• Algebra - Reiny, Friday, July 30, 2010 at 9:37pm
width --- x
length --- x+16
solve
... | 4 | [
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0.0830078125,
-0.006866455078125,
0.0859375,
0.01043701171875,
0.006317... | 35,980 | 35980 | |
Greens Theorem Help
November 20th 2006, 05:33 PM #1
Greens Theorem Help
The word document below should explain the problem
Please help, so far your explinations have been better than the professors.
The semester is almost over.
Last edited by Ranger SVO; November 20th 2006 at 05:56 PM. Reason: Bette... | 4 | [
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-0.0771484375,
0.030517578125... | 35,981 | 35981 | |
How to solve this equation
I need step by step help on solving this equation: 4x^2 - 15x = 3
$\displaystyle 4x^2 - 15x = 3$ $\displaystyle 4x^2 - 15x -3= 0$ by the quadartic formula $\displaystyle ax^2 + bx +c= 0 \implies x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$ $\displaystyle 4x^2 - 15x -3= 0 \
implies x = \frac{-(-15)\pm... | 4 | [
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0.158203125,
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Partial Orders
September 6th 2010, 09:01 AM #1
Senior Member
Joined
Apr 2009
Posts
306
Partial Orders
Hi there, I have a question relating to partial orders, I can prove only part of the question but can't seem to finish it off, any help would be greatly appreciated!
Let T denote the set of real-val... | 4 | [
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0.06591796875,
-0.... | 35,983 | 35983 | |
A bit of an exponential pickle.
$x^2+e^{-x}=8$ Is there an analytic solution? If not, why so? $e^xx^2+1=8e^x\Rightarrow{e}^x=\frac{-1}{x^2-8}$ ? All this tells me is that $|x|>\sqrt8$
Last edited by VonNemo19; July 29th 2009 at 09:02 PM.
I didn't check your calculations but from the last equation you know that $-\sqr... | 5 | [
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word problems
March 20th 2009, 11:42 PM #1
Member
Joined
Jan 2009
From
earth
Posts
167
how to do this? i'm confused..
If A, B, and C work together in a job, it will take 1 1/3 hours. If only A and B work, it will take 1 5/7 hours. But if B and C work, it would take 2 2/5 hours. How long would it ... | 4 | [
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Integrating Factor
April 18th 2009, 01:13 PM
Macleef
Integrating Factor
I don't get the step in the red box.
But.. here's what I have:
$<br /> I = e^{ \int \frac{x}{x^2 + 5} \, dx}$
$I = e^{\int x \frac{1}{x^2 + 5} \, dx}$
$I = e^{\frac{1}{2}x^2 + ln(x^2 + 5)}$
$I = e^{\frac{1}{2}x^2}e^{l... | 4 | [
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wave equation
January 3rd 2009, 02:20 AM #1
Member
Joined
Jan 2009
Posts
83
wave equation
I have already shown T(x,t) = (A/sqrt(t))*exp((-x^2)/(4kt))
is a solution of the wave equation
I now need to show int (T(x,t)) dx between infinity and neg infinity is a constant function of T
obviouls... | 5 | [
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How can I see that the slice of a presheaf category is equivalent to the presheaf category of the category of elements?
up vote 3 down vote favorite
1
Let $\mathcal{C}$ be a small category and $P$ a presheaf on $\mathcal{C}$. Then there is an equivalence $$\widehat{\mathcal{C}} / P \cong \widehat{\int_{\mathcal{C}}} P... | 4 | [
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Patent US20030050568 - Ventilator patient synchronization
[0001] This application claims the priority filing date of U.S. provisional patent application serial No. 60/292,983 filed on May 23, 2001.
FIELD OF THE INVENTION
[0002] This invention relates to methods for synchronizing ventilators with patient respiration. ... | 4 | [
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0.11... | 35,989 | 35989 | |
Definite Integrals
Date: 05/04/97 at 19:22:30
From: Joseph Padlo
Subject: Integrals
What is the difference between "the area under the curve from a to b"
and "the definite integral from a to b"?
jp
Date: 05/05/97 at 08:44:45
From: Doctor Jerry
Subject: Re: Integrals
Hi Joseph,
This is a really good question!
T... | 5 | [
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Homework Help
Posted by Jake on Friday, January 21, 2011 at 3:18pm.
Find the value of the constant t such that the triangle formed by A (2,2) ,B (4,-5) ,C (6,t) is right angled at B(4,-5).
• Math - MathMate, Friday, January 21, 2011 at 9:54pm
Line passing through two given points P1(x1,y1) and P2(x2,y2)
L:... | 4 | [
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... | 35,991 | 35991 | |
Probabilty of two permutations having common elements?
up vote 3 down vote favorite
1
What is the probability of two permutations on set X of size m (i.e. |X|=m) having at least n points of intersection? By this I mean that if two permutations, which I'll call g(x) and h(x), map a
member x to g(x) for the first permut... | 5 | [
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Summing Activity Leads to a Mean of e
Date: 04/01/2005 at 11:08:24
From: Steve
Subject: I keep getting e as the result of a class activity, why?
I asked my students to keep adding random integers from 1 to 100 until
the sum exceeded 100. We then found the average number of terms
added. The answer seems to be e. Wh... | 5 | [
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Derivative of velocity then critical points question (Optimization problem)
November 21st 2009, 10:23 AM #1
Super Member
Joined
Nov 2008
Posts
597
Derivative of velocity then critical points question (Optimization problem)
Question:
(1 pt) A University of Rochester student decided to depart from Eart... | 4 | [
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-0.... | 35,994 | 35994 | |
Chapter 16: Wave Motion
We start Ch. 16 in the middle of the Monday, April 23 lecture.
We see ocean waves, hear sound waves, see light waves, and receive radio waves.
In this chapter we learn about mechanical waves that are the vibrations of materials. The best examples are musical instruments. Stringed instruments ... | 4 | [
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Trade Discount help
February 2nd 2009, 01:12 PM #1
Member
Joined
Nov 2008
From
windsor ont cAN
Posts
87
Trade Discount help
The List price is Not Given but the Net Price is $93.03 and the discount rate ( multiple discounts ) 25% 10 % and 8 1/3 % . I am having trouble with on calculating the discount ... | 4 | [
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0.06... | 35,996 | 35996 | |
Integration of 3rd degree trig functions?
March 29th 2012, 09:44 PM #1
Newbie
Joined
Sep 2011
Posts
5
Integration of 3rd degree trig functions?
I just got back from my diff eq exam.
One of the problems was y'+y*(tan(x)) = 8*sin(x^3)
At a first glance, it looks like a simple first order linear d... | 5 | [
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Need help with tangent lines and derivatives
October 20th 2011, 08:43 PM
newslang
Need help with tangent lines and derivatives
Hey,
I'm struggling with this one problem from my text book.
"Find the equations of the tangent lines to the parabola y=(x^2)+x that pass through the point (2, -3)."
I know... | 4 | [
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The Bayesian Approach to Frequentist Sampling theory
2014 March 21
So I've been thinking a lot recently about the issue of sampling from a finite population and doing Bayesian analysis. Pretty clearly, when we have a finite population of items in the world, and we
use a random number generator to select a subset of t... | 4 | [
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