content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Cylinder Problem
October 11th 2011, 10:49 PM #1
Newbie
Joined
Oct 2011
Posts
1
Cylinder Problem
I have a maths question that I can't solve. It reads as follows:
"A small cylinder is placed on the top of two identical cylinders, which are touching each other as shown in the diagram. Find the radius o... | 4 | [
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0.125,
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sum prove
If $U_n=\frac{1}{(2n+1)(2n+3)}$, prove that $<br /> U_{n-1}-U_n=\frac{4}{(2n-1)(2n+1)(2n+3)}<br />$ Thanks .
$U_n = \frac{1}{(2n+1)(2n+3)}$ $u_{n-1}$ is the point when considering a value one less than $n$ thus the expression is found (for $n-1$) when we substitute $n=n-1$. $U_{n-1} = \frac{1}{(2(n-1)+1)(2
(... | 4 | [
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Equation Of A Tangent Q
October 6th 2008, 11:15 AM #1
Newbie
Joined
Oct 2008
Posts
4
Equation Of A Tangent Q
ok so here's the Q i am stuck on
1) Find the equations of all tangents to the graph of f(x) = x^2 - 4x + 25 that passes through the origin (0,0)
so from my understanding, the tangent lin... | 4 | [
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-0.0378417968... | 7,702 | 7702 | |
problem of power series
July 4th 2008, 08:26 PM #1
Newbie
Joined
May 2008
Posts
11
problem of power series
1)Prove that
1)1+ 1/2! + 1.3/4! + 1.3.5/6! + ……………………=e^1/2
2) 2) Evaluate the series
1 + 3/1! + 5/2! + 7/3! + …………………………….
Both problems rely on you using the power series $e^x = 1... | 5 | [
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Fatoring polinomials - what am I doing wrong?
March 11th 2011, 06:43 PM
Eloise1995
Fatoring polinomials - what am I doing wrong?
Hi! Here is the problem I was trying to solve, and what I did:
3x^2+7x-6=0
Since 3*(-6)=-18, I need two numbrers, the product of which is -18, and the sum of which is 7. I cho... | 4 | [
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An Explanation of Pascal's Triangle
Date: 27 Feb 1995 22:57:04 -0500
From: Anonymous
Subject: Probability and Pascal's Triangle
My 10th grade daughter is having trouble finding a simple explanation
of Pascal's Triangle and its application. So far we've discovered that,
in lieu of prozac, Pascal turned to math and c... | 4 | [
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Is lim R_i = O(colim Spec R_i) true for finite (co)limits?
up vote 2 down vote favorite
4
$\DeclareMathOperator{\colim}{colim} \DeclareMathOperator{\Spec}{Spec}$
[Edit1] I should point out that the colimits below are in the category of schemes, since the statements are trivially false for colimits in the category of ... | 5 | [
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Global dimension of quantum $\mathbb{P}^{n}$
up vote 3 down vote favorite
2
Let $k$ be a field. Given a (not necessarily commutative) $k$ graded ring $A$, M. Artin and J.J. Zhang introduced a notion of "noncommutative projective scheme" $Proj(A)$ in this paper. It is defined
as a $k$-linear abelian category $$ Tails(A... | 4 | [
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range projection of an unbounded idempotent affiliated to a finite von Neumann algebra
up vote 4 down vote favorite
To be slightly more precise: let $M\subset B(H)$ be a finite von Neumann algebra equipped with a faithful normal trace $\tau$, and let $L^0(M,\tau)$ be the completion of $M$ in the measure topology;
this... | 5 | [
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When to use which?
August 11th 2007, 09:33 PM
wby
When to use which?
if 5 card are dealt from 52 cards, determine the probabilty of getting 3 red cards and 2 black face cards.
The answer is 26C3(6C2)/52C5, but I got 52C5(1/2)^5(6/52)^2, how do you know when to use which?
Thank you!
August 12th 2007, 0... | 4 | [
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tricky integral
February 21st 2011, 02:35 PM #1
Member
Joined
Oct 2010
Posts
76
tricky integral
what do i do here?
S 1/2sin^2(x) dx
the S is meant to be the integrate zigzag thing so its integrate 1/2sin^2(x) dx? i am lost. i calculated the answer to be 1/2tan(x) using software but i don't get ... | 5 | [
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optimzation problem # 10
August 15th 2009, 06:07 PM
skeske1234
optimzation problem # 10
a rectangle is inscribed under the curve y=e^(-x)^2, with its base along the x-axis. Find the rectangle of largest area, subject to the restriction that the base does not exceed 4 units.
Now I want to maximize the area o... | 5 | [
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Secondorder Differential equation
April 26th 2009, 02:01 PM #1
Secondorder Differential equation
Aloha!
I have given an inhomogen DE as:
$<br /> n>=1$
$X_{n+2}-X_{n+1}+\frac{1}{4}X_{n} = n+4$
Trying to find the general $X^h_{n}$ solution to the associated homogen DE and the special solution $X^... | 5 | [
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solve a trigonometric equation
November 10th 2009, 03:38 PM #1
Junior Member
Joined
Sep 2009
Posts
74
solve a trigonometric equation
could I get some assistance solving this equation? I'm afraid I'm just not getting anywhere with it
$secx + cosx = -2$
using identities, I can turn that into
... | 4 | [
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trigonometric
March 1st 2006, 11:56 PM
xavior
trigonometric
To confirm
1. 5 + sin^2 A=sinA + 5
2. cos^4 A-sin^4 A=cos2A
3. cos^2 A (2tan^2 A + sec^2 A)= 2-cos2A
March 2nd 2006, 01:40 AM
ticbol
Quote:
Originally Posted by xavior
To confirm
1. 5 + sin^2 A=sinA + 5
2. cos^4... | 4 | [
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Follow-up: Sampling a discrete distribution
This is a follow-up to my last post, on a puzzle about "Sampling a discrete distribution" (see my comment there for the solution I originally thought of).
As an anonymous commenter (Rex?) points out, a nice elementary solution that has been known for a long time. I admit to... | 4 | [
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Math Help
Evaluate $<br /> <br /> \lim_{x\to0} \frac {(e^x)^2-1-x^2-\frac {x^4}{2}}{cosx-1+\frac {x^2}{2}-\frac {x^4}{4!}}<br />$ Thanks.
Last edited by khatz; August 3rd 2009 at 06:12 PM.
When you take this limit the way it is, you end up with the indeterminate case $\frac{0}{0}$ So you can now apply L'Hôpital's ru... | 5 | [
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Morphisms between tensor functors
Todd Trimble
Morphisms between tensor functors
MathOverflow User Auguste Hoang Duc asked after a proof of proposition 1.13 in Tannakian Categories by Deligne and Milne, to the effect that given two rigid tensor categories $C$, $D$, the category $
[C, D]$ of tensor functors and morphis... | 4 | [
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constrained optimisation problem
May 14th 2010, 06:46 PM
lin.13579
constrained optimisation problem
(a) Write down the objective function and the constraint equation for aconstrained optimisation problem which is to minimize the total surface area of a rectangular box with the constraint that
its volume is f... | 5 | [
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Need help factoring
November 19th 2009, 06:58 PM #1
Newbie
Joined
Nov 2009
Posts
4
Need help factoring
Hi
I was wondering if anyone could help me with this equation i have, im trying to factor this in my ti92+ calculator and im not seeing the textbook result my book shows. Im told to factor this
... | 4 | [
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under standing metric spaces and cauchy sequences... (analysis/topology)
April 8th 2008, 05:10 PM #1
Member
Joined
Apr 2008
From
Seoul, South Korea
Posts
128
under standing metric spaces and cauchy sequences... (analysis/topology)
hmm so i have this metric defined by x,y in R^k such that d_1(x,y)=max... | 5 | [
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... | 7,720 | 7720 | |
integral test problems
April 9th 2007, 09:38 AM #1
Senior Member
Joined
Jan 2007
Posts
477
integral test problems
these problems use the integral test, I appreciate any help you can offer me with these ones. Thankyou.
heres the equations, there are three of them: http://img127.imageshack.us/img127/9... | 5 | [
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... | 7,721 | 7721 | |
Pareto - a ranking tutorial
Zipf, Power-laws, and Pareto - a ranking tutorial
Lada A. Adamic
... | 4 | [
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Probabilty of choosing 5 defective buses
June 19th 2010, 03:46 PM #1
Probabilty of choosing 5 defective buses
Shortly after being put into service, ssome buses manufactured by a certain company have developed cracks on the underside of the main frame. Suppose a particular city has 25 of these buses, and
crack... | 5 | [
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Math Help
March 15th 2007, 12:16 PM #1
Junior Member
Joined
Feb 2007
Posts
44
climber
The surface of mountain is modeled by the equation h(x,y)=5000 -0.001x^2-0.004y^2. A mountain climber is at the point (500, 300, 4390). In what direction should the climber move in order to
ascend at the greatest r... | 5 | [
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Precise definition of limits
September 3rd 2007, 06:22 AM
fruitcakelover
Precise definition of limits
Does anyone knows how to show:
limit of f(x), x approaches a, equals L
if and only if
limit of f(x), x approaches a from the right = to limit of f(x), x approaches a from the left = L
Using t... | 4 | [
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Finding the nth derivative
February 6th 2011, 09:23 AM
joatmon
Finding the nth derivative
Find the nth derivative of $f(x) = x^n$ by calculating the first few derivatives and observing the pattern that occurs.
So, here's what I've done so far:
$f'(x) = nx^{x-1})$
$f''(x) = n(n-1)x^{n-2}$
$f''(... | 5 | [
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Chi Square Test of Independence with MS Excel - ASP Free
Chi Square Test of Independence with MS Excel
One of the most important aspects of any type of research that includes surveys and scientific experiment is having an “unbiased” form of decision. Only when you arrive at an unbiased decision can
your research be co... | 5 | [
0.037841796875,
0.0184326171875,
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0.061279296875,
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0.07421875,
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0.1015625,
-0.01055... | 7,727 | 7727 | |
quadratic equation by factoring
March 6th 2010, 09:09 PM
likewhoa
quadratic equation by factoring
2xsquared + 19x + 24 = 0
can someone help me with this question I need some kind of direction. Im thinking you have to multiply the 2squared with the 24 and try to come up with 2 numbers that would equal to 19?... | 4 | [
-0.00897216796875,
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0.0201416015625,
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0.0308837... | 7,728 | 7728 | |
Math Help
Is it true that $\sum_{n=1}^{\infty} {a_{n}}^2$ is convergent if $\sum_{n=1}^{\infty} {a_{n}}$ is convergent? Justify your answer. Any hints?
Remember that if $\vert a \vert \leq 1$ then $a^2 \leq \vert a \vert$. Now also remember if the series is convergent what is $\lim_{n \to \infty} \ a_n$? Although now... | 5 | [
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0.05859375,
-0.02429199... | 7,729 | 7729 | |
Scientific Papers - Vi
1913] LAMINAR MOTION OF AN INVISCID FLUID 201
from the second of which we may infer that if q be finite, p+ U must change sign, as we have already seen that it must do when q — 0. In every case then, when k is small, the real part of n must equal ... | 4 | [
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Differential Equations-Separation of variables
February 5th 2008, 05:44 PM
yellowrose
Differential Equations-Separation of variables
I need some help with this problem please:
solve by separation of variables.
dydx=y(1-y^2)
1/(y(1-y^2)dy=dx
How do I get it into y= form after taking the integr... | 4 | [
-0.09228515625,
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-0.0537109... | 7,731 | 7731 | |
[SOLVED] 2 questions
April 21st 2009, 11:08 PM
noob mathematician
[SOLVED] 2 questions
Let X be the number of 1's and Y the number of 2's that occur in n rolls of a fair die. Compute Cov(X,Y).
Do I use $Cov(X, Y)= E[XY] -E[X]E[Y]$?
A fair die is rolled. Let X and Y denote, respectively, the number of r... | 5 | [
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More Linear Algebra: Finding Orthonormal Bases
Many students who take linear algebra courses at university, often forget they were likely exposed already to many of its concepts and principles ...but in a different guise or a different subject.
Take, for instance, the concept of an "orthonormal basis". The term soun... | 5 | [
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Math Forum Discussions
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Topic: Auto composition yields exponential
Replies: 5 Las... | 4 | [
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0.00625610... | 7,734 | 7734 | |
Log Questions
January 27th 2008, 11:26 AM #1
Newbie
Joined
Jan 2008
Posts
18
Log Questions
Hi,
I'm needing help with solving two equations using logarithms:
1) 15000=702.712(1.067)^x
I know by "plugging and chugging" into x, the it's somewhere around 48. However, I'd like to know how to so... | 4 | [
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... | 7,735 | 7735 | |
Difference between Standard Deviations?
September 12th 2011, 11:59 AM
Niles_M
Difference between Standard Deviations?
Hi
In some of my statistics books, they use two versions of the standard deviation for a data set {x} with N measurements. The first version is
$<br /> \sigma^2 = \frac{1}{N}\sum_i{(x_i... | 4 | [
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Non-cohomological proof that the pullback of an ample bundle by a finite morphism is ample
up vote 5 down vote favorite
2
It is a standard fact that for any finite morphism of proper Noetherian $A$-schemes ($A$ being Noetherian), the pullback of an ample line bundle is ample. The usual proof of this fact is via Serre'... | 5 | [
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fractional part and integration
January 6th 2010, 08:27 AM
Shanks
fractional part and integration
Let $\{x\}$ be the positive fractional part of real number $x$, for example, $\{\pi\}=0.1415926...$ .
Prove that the set $S=\{\{nv\}:n\in Z^+\}$ is dense in [0,1] if $v$ is positive irrational number.
And f... | 4 | [
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3.2 Channel Expansions and Contractions
[Next Section] [Previous Section] [Table of Contents]
Full Equations Utilities (FEQUTL) Model for the Approximation of Hydraulic Characteristics of Open Channels and Control Structures During Unsteady Flow
U.S. GEOLOGICAL SURVEY WATER-RESOURCES INVESTIGATIONS REPORT 97-4037
3.... | 4 | [
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Math Forum Discussions
W^3
Posts: 29
Registered: 4/19/11
Re: Matrices of rank at least k
Posted: Nov 29, 2012 1:15 PM
Let S = {a in R^k : |a| = 1}. Suppose u_1, ..., u_k are linearly
independent in R^m. Then for all a in S, |sum a_ju_j|> 0 (the sum will
always be over j in {1, ..., k}). By continuity and compactness,... | 4 | [
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-... | 7,740 | 7740 | |
Simultaneous non-linear equations.
{5xy(x² + y²) = -160 {x² + 5xy +y² = -12 ???
Last edited by mr fantastic; September 19th 2011 at 07:28 PM. Reason: Re-titled.
What do you have to do? Solve the system? ...
The first thing I noticed is that you recognize two equal parts in both equations, the $5xy$ part and $x^2+y^2... | 4 | [
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0.0070495605... | 7,741 | 7741 | |
Finding the capacity
July 21st 2012, 03:27 PM
donnagirl
Finding the capacity
Two oil tanks,X and Y, have the same capacity. The amount of oil in tank X is 1/2 of its capacity, and the amount of oil in tank Y is 1200 gallons less than its capacity. If there are 7800
gallons of oil in the two tanks combined, w... | 4 | [
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Finding a and b (derivatives)
November 30th 2008, 04:46 AM #1
Newbie
Joined
Nov 2007
Posts
23
Finding a and b (derivatives)
What are the values that a and b can take so that f(x)= ax^2 + bx -sin3x has a local maximum when x=0 ?
Thanks in advance
To have a local max at zero
$f'(0)=0$ and $f... | 5 | [
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-0.062... | 7,743 | 7743 | |
Find eigenvalues and eigenvector
November 26th 2011, 12:37 PM #1
Junior Member
Joined
Apr 2010
Posts
58
Find eigenvalues and eigenvector
I am to find the eigenvalues and corresponding eigenvectors of the following matrix:
[3 -1 -1]
[-12 0 5]
[4 -2 -1]
Here is what I have so far:
det... | 5 | [
-0.05078125,
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-0.119140625,
0.007781982421875,
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Disquisitiones Mathematicae
Posted by: matheuscmss | June 24, 2014
Dynamics of the Weil-Petersson flow: proof of Burns-Masur-Wilkinson ergodicity criterion II
Last time, we showed the first part of Burns-Masur-Wilkinson ergodicity criterion:
Theorem 1 (Burns-Masur-Wilkinson) Let ${N}$ be the quotient ${N=M/\Gamm... | 4 | [
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Trig substitution calc 2
October 1st 2010, 07:15 PM
highc1157
Trig substitution calc 2
Dear MHF experts (btw, you guys rock!! lol),
$\displaystyle \int \frac{x^2}{\sqrt{25-x^2}}\,dx$
(someone else's calculations for this, last step is correct, i took the derivative and it equals the original integral)
... | 5 | [
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0.031494140625,
0.03... | 7,746 | 7746 | |
False identity?
May 2nd 2010, 02:14 PM #1
Junior Member
Joined
Jan 2010
Posts
66
False identity?
Hello, all!
I need to prove the following identity:
$\frac{cos(x-y)}{sin(x-y)} = \frac{1 + tan\hspace{5 pt}x\hspace{5 pt}tan\hspace{5 pt}y}{tan\hspace{5 pt}x + tan\hspace{5 pt}y}$
I am able to ... | 4 | [
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Complex Analysis: Maximal Modulus Principle question
September 12th 2011, 11:17 AM #1
Newbie
Complex Analysis: Maximal Modulus Principle question
Re: Complex Analysis: Maximal Modulus Principle question
I've been thinking of this problem but I just can't complete a proof, here's a possible route (hopefully) tow... | 4 | [
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-0.04370... | 7,748 | 7748 | |
Strategies for the Math Section
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Strategies for the Math Section 1,450 views
So the math section of the PSAT also causes a lot of anxiety with students. So what I’ve done is, I’ve moved over here to the math lab... | 4 | [
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-0.... | 7,749 | 7749 | |
quadrilateral with vertices
Determine the area of the quadrilateral whose vertices are (1,3), (6,5), (9,1) and (3,-3).
Maybe you can use this method: http://www.mathhelpforum.com/math-he...ngle-help.html See post #4.
$\dfrac{1}{3} \text{ : } \dfrac{6}{5} \text{ : } \dfrac{9}{1} \text{ : } \dfrac{3}{-3} \text{ : } \df... | 4 | [
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... | 7,750 | 7750 | |
Need help solving this word problem.. Implicit Differentiation?
October 22nd 2008, 04:10 PM
Manizzle
Need help solving this word problem.. Implicit Differentiation?
I believe this problem needs to be solved using implicit differentiation, but i am not sure how to set the problem up.. any help is greatly apprecia... | 5 | [
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0.00... | 7,751 | 7751 | |
Divergence Theorem limits
May 2nd 2011, 06:26 AM
adam_leeds
Divergence Theorem limits
F = 2xz i + yz j + ${z}^{ 2}$ k over the upper half of the sphere ${x}^{2 } + {y}^{2 } + {z}^{2 } = {a}^{ 2}$
I thought it was dz d\theta z between a and 0 and \theta between \pi and 0 , but im wrong (Crying)
May 2nd 2011... | 5 | [
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0.03198... | 7,752 | 7752 | |
Definition of determinant and connection to linear dependance of columns
July 12th 2011, 10:14 PM #1
Newbie
Joined
Jun 2011
Posts
7
Definition of determinant and connection to linear dependance of columns
Hi,
In my book on linear algebra (first year university) the author starts off explaining the c... | 4 | [
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-0.02746... | 7,753 | 7753 | |
Prove that n^2 - 1
September 14th 2010, 03:09 PM
dblaisewatson
Prove that n^2 - 1
Hey everyone, I have this problem for homework and got started on it when n is odd (easy). But can't figure out how to solve it when n is even:
Let n be an integer greater than or equal to 3. Prove that n^2 -1 is not prime.
... | 4 | [
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-0.012939453125,
0.033935546875,
-0.08935546875,
-0.035888671875,
0.043701171875,
-0.055175... | 7,754 | 7754 | |
Circle problem
March 27th 2008, 10:08 AM
mathlete
Circle problem
find a formula for the following function
the top half of a circle with center (a,b) and radius r
need some help with this one thanks...
March 27th 2008, 10:23 AM
iknowone
Every point $(x,y)$ on the graph of a circle of radius $r$ ... | 4 | [
-0.05810546875,
-0.0081787109375,
-0.05419921875,
0.01141357421875,
0.00665283203125,
0.0101318359375,
-0.03857421875,
0.068359375,
0.06494140625,
0.0038299560546875,
0.045654296875,
0.07666015625,
-0.01312255859375,
0.072265625,
0.10400390625,
0.08837890625,
-0.07861328125,
-0.077... | 7,755 | 7755 | |
Sample session with cdd+
Next: Is it possible to Up: Computing the Delaunay complex Previous: Computing the Delaunay complex   Contents
Sample session with cdd+
Consider a simple two dimensional case:
The first step is to write down the system of linear inequalities in 3.2: for each
For our example, we h... | 5 | [
-0.043212890625,
0.0869140625,
-0.05908203125,
-0.08740234375,
-0.04443359375,
-0.0263671875,
-0.033935546875,
0.046875,
-0.08154296875,
0.0576171875,
-0.0206298828125,
-0.03564453125,
0.038818359375,
-0.0654296875,
-0.015869140625,
-0.0213623046875,
-0.022216796875,
-0.00408935546... | 7,756 | 7756 | |
Gradient of a function, cylindrical, spherical and Cartesian coordinates
March 13th 2010, 02:08 PM #1
Gradient of a function, cylindrical, spherical and Cartesian coordinates
Let $\vec A$ be a constant vector and let $f(\vec r)=\vec A \cdot \vec r$. Calculate the gradient of $f$ in Cartesian, cylindrical and sphe... | 4 | [
-0.039794921875,
-0.0283203125,
-0.06591796875,
-0.039306640625,
0.0211181640625,
0.045166015625,
0.0238037109375,
-0.031982421875,
-0.00482177734375,
0.1416015625,
-0.01416015625,
0.007415771484375,
0.07666015625,
0.04931640625,
0.031494140625,
0.04248046875,
-0.10009765625,
0.044... | 7,757 | 7757 | |
Question in Advanced Algebra
some things to help you narrow down the search: consider first the group of units of Z30 = {1,7,11,13,17,19,23,29}. a group can only have ONE idempotent, its identity. for if a*a = a, then: a-1*(a*a)
= a-1*a (a-1*a)*a = e e*a = e a = e. so 1 is the only idempotent that is also a unit. this ... | 4 | [
-0.06689453125,
0.0927734375,
-0.06298828125,
0.002685546875,
-0.0201416015625,
-0.06103515625,
0.0810546875,
-0.07763671875,
-0.0245361328125,
-0.0712890625,
-0.0205078125,
-0.0732421875,
0.12060546875,
-0.060791015625,
-0.0203857421875,
-0.05615234375,
-0.055908203125,
0.05395507... | 7,758 | 7758 | |
Turning Points
June 14th 2009, 11:21 PM
Joel
Turning Points
Having real trouble putting these together.
Yor help would be appreciated
Let f(x) = x³ + 3bx² + 3cx + d
a) Show that y =f (x) has two distinct turning points if and only if b² > c
b) If b² > c, show that the vertical distance betwe... | 4 | [
-0.0634765625,
-0.0032501220703125,
-0.0262451171875,
-0.05322265625,
-0.07666015625,
0.11328125,
-0.046142578125,
0.037109375,
0.060546875,
0.004425048828125,
0.08056640625,
-0.1201171875,
0.029541015625,
-0.02099609375,
0.0299072265625,
0.06591796875,
-0.07861328125,
-0.015869140... | 7,759 | 7759 | |
solve the differential equation by separation of variables dy/dx = (cos x)e^(y+sinx)
March 29th 2010, 03:54 PM
-DQ-
solve the differential equation by separation of variables dy/dx = (cos x)e^(y+sinx)
dy/dx = (cos x)e^(y+sinx)
i mean i put the y's and x's on the same side but couldn't proceed from it. guida... | 5 | [
-0.1123046875,
-0.0037689208984375,
0.01177978515625,
0.03369140625,
0.0546875,
0.037353515625,
-0.006439208984375,
-0.0888671875,
-0.046875,
0.0284423828125,
0.10498046875,
0.0186767578125,
0.01312255859375,
0.025390625,
0.0908203125,
-0.06982421875,
-0.064453125,
-0.0006256103515... | 7,760 | 7760 | |
Computing the approximate population of a bloom filter
up vote 12 down vote favorite
10
Given a bloom filter of size N-bits and K hash functions, of which M-bits (where M <= N) of the filter are set.
Is it possible to approximate the number of elements inserted into the bloom filter?
Simple Example
I've been mullin... | 5 | [
0.02734375,
0.033203125,
-0.02294921875,
-0.04638671875,
0.0047607421875,
-0.02197265625,
0.03955078125,
-0.0137939453125,
-0.0419921875,
-0.0091552734375,
-0.056884765625,
-0.00732421875,
0.1015625,
-0.0634765625,
-0.05859375,
0.06494140625,
0.045166015625,
0.050537109375,
-0.03... | 7,761 | 7761 | |
Can someone check a proof involving cases, please?
January 9th 2012, 10:25 AM #1
Newbie
Joined
Aug 2011
Posts
18
I seem to think my proof of the following theorem has been made more complicated/lengthy than necessary. Any thoughts will be highly appreciated =)
Prove that for all real numbers a and b,... | 4 | [
-0.03662109375,
0.018310546875,
0.0311279296875,
-0.07177734375,
-0.0026702880859375,
-0.009521484375,
0.049560546875,
0.0247802734375,
-0.037353515625,
-0.0230712890625,
0.013671875,
-0.03564453125,
0.1083984375,
0.06787109375,
0.0751953125,
0.0240478515625,
0.0791015625,
-0.05151... | 7,762 | 7762 | |
multiple integrals
February 4th 2009, 07:18 PM #1
Junior Member
Joined
Feb 2008
Posts
63
multiple integrals
Find the volume enclosed by the following regions:
x^2 + y^2 = 1;
y^2 + z^2 = 1;
z^2 + x^2 = 1:
Google "Steinmetz solid" for information and proofs.
You are given three circul... | 5 | [
-0.01373291015625,
0.10986328125,
0.048095703125,
-0.034912109375,
0.07861328125,
-0.1201171875,
0.00958251953125,
0.09912109375,
-0.00335693359375,
-0.0908203125,
-0.07080078125,
0.0247802734375,
0.006988525390625,
0.0322265625,
-0.060791015625,
-0.0211181640625,
-0.0458984375,
-0... | 7,763 | 7763 | |
Math Forum Discussions
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Math Forum » Discussions » sci.math.* » sci.math.independ... | 4 | [
-0.1396484375,
0.0400390625,
0.0615234375,
0.0181884765625,
0.0888671875,
-0.033447265625,
-0.005462646484375,
0.052978515625,
-0.0458984375,
0.02294921875,
0.007232666015625,
-0.00445556640625,
0.059326171875,
0.0020904541015625,
-0.06787109375,
0.008056640625,
0.026123046875,
-0.... | 7,764 | 7764 | |
Gauss-Jordan Reduction
April 3rd 2011, 05:40 PM
brumby_3
Gauss-Jordan Reduction
Solve the following set of homogeneous equations by Gauss-Jordan reduction of the matrix of coefficients (without the column of zeros from the right-hand side.
5x+5y-5z=0
3x+4y-7z=0
2y-8z=0
-2y-3y+6z=0
I know to... | 4 | [
-0.0439453125,
0.01495361328125,
0.0157470703125,
0.0162353515625,
0.046630859375,
-0.041015625,
0.01007080078125,
-0.059814453125,
-0.0537109375,
0.04296875,
0.016845703125,
-0.0185546875,
0.0277099609375,
0.00170135498046875,
-0.076171875,
0.0023193359375,
-0.0869140625,
-0.01452... | 7,765 | 7765 | |
3cosx+4tanx+secx=0
February 24th 2011, 11:08 AM #1
3cosx+4tanx+secx=0
hello,
i'm trying to work out this problem to solve for Theta...
$3cos\Theta+4tan\Theta+sec\Theta=0$
I decided it would make sense to get all trig functions to be in terms of sec.
So after manipulating the equation i came up... | 4 | [
-0.033935546875,
0.04296875,
0.0146484375,
0.059814453125,
-0.06689453125,
0.045654296875,
-0.029541015625,
-0.0128173828125,
0.09326171875,
-0.06787109375,
0.11376953125,
-0.0693359375,
-0.003021240234375,
0.07568359375,
-0.0128173828125,
-0.007232666015625,
-0.035888671875,
0.061... | 7,766 | 7766 | |
Quadratic Equation Hidden, ax^2+bx+c=0
November 6th 2009, 01:50 AM
learner123
Quadratic Equation Hidden, ax^2+bx+c=0
Hey all,
I need help with this equation. It is a hidden equation which I have tried to solve on my maths booklet.
The steps that must be followed are:
ax^2 + bx + c = 0
I have ... | 4 | [
-0.07177734375,
0.028076171875,
-0.031005859375,
0.064453125,
-0.041748046875,
0.0810546875,
-0.031982421875,
0.047607421875,
-0.00098419189453125,
0.06298828125,
0.047607421875,
-0.07861328125,
-0.02734375,
0.08447265625,
-0.00439453125,
0.0400390625,
-0.09228515625,
-0.0067138671... | 7,767 | 7767 | |
lim (1+1/x)^x as x->infinity
July 19th 2010, 12:42 PM
MechEng
lim (1+1/x)^x as x->infinity
Good afternoon,
I am working on a problem that asks to find the following limit:
$<br /> lim_{x\rightarrow\infty}(1+\frac{1}{x})^x<br />$
This should be equal to e, but I am having some difficulty rememberin... | 5 | [
0.0216064453125,
-0.041259765625,
0.01611328125,
0.00970458984375,
0.08154296875,
-0.10498046875,
0.037841796875,
0.0284423828125,
-0.0174560546875,
0.04296875,
-0.00701904296875,
-0.02685546875,
0.052001953125,
0.032470703125,
0.0198974609375,
0.0220947265625,
0.0040283203125,
-0.... | 7,768 | 7768 | |
Rotation, torques, precession
Rotation, moment of inertia, torques, angular momentum, gyroscopes and precession: this page gives more detail to support the multimedia tutorial Rotation.
This demonstration, also shown in the multimedia tutorial on rotation, illustrates rotational kinetic energy. The brass object init... | 4 | [
-0.146484375,
-0.006134033203125,
-0.015625,
0.01458740234375,
-0.044189453125,
0.015625,
-0.01611328125,
0.037353515625,
0.058837890625,
-0.0030364990234375,
-0.0013275146484375,
0.040771484375,
-0.0015869140625,
-0.060302734375,
-0.04052734375,
0.051513671875,
0.0277099609375,
0.... | 7,769 | 7769 | |
Lagrange's Theorem
Associated Topics || Dr. Math Home || Search Dr. Math
Lagrange's Theorem
Date: 01/24/2002 at 0... | 5 | [
-0.0634765625,
0.040771484375,
0.07958984375,
0.0225830078125,
0.044677734375,
0.01104736328125,
0.07421875,
0.02978515625,
-0.039794921875,
0.02880859375,
-0.0133056640625,
0.12890625,
0.0081787109375,
-0.09912109375,
-0.040771484375,
0.006134033203125,
-0.08154296875,
0.009948730... | 7,770 | 7770 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
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Teacher Exchange
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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: Complex Matrix indexing
Replies: 0
Complex Mat... | 4 | [
-0.0107421875,
0.0123291015625,
-0.07421875,
-0.0291748046875,
0.0098876953125,
-0.0269775390625,
0.0137939453125,
-0.07177734375,
-0.0498046875,
-0.00927734375,
0.0093994140625,
0.0264892578125,
0.058349609375,
-0.01416015625,
-0.037841796875,
0.07861328125,
-0.06298828125,
0.0166... | 7,771 | 7771 | |
Cross and Dot Products
January 29th 2009, 05:31 PM
veronicak5678
Cross and Dot Products
Find the cross product axb and verify it is orthogonal to both a and b
a = <e^2t, 1, e^-t>
b = <e^t, 2, e^-t>
I calculated the cross product to be <-e^-t, e^t - 1, 2e^2t - e^t> and tried dotting it with a and b.... | 5 | [
-0.08447265625,
-0.003173828125,
-0.0257568359375,
-0.11083984375,
-0.01190185546875,
0.0052490234375,
0.0028533935546875,
0.003387451171875,
0.0218505859375,
0.0289306640625,
0.060546875,
-0.061279296875,
0.03564453125,
-0.0169677734375,
0.03857421875,
0.0625,
-0.036865234375,
-0.... | 7,772 | 7772 | |
Stigmatic Optical Systems : Optometry & Vision Science
Astigmatism is a term bandied about in optometry frequently and in the vision sciences generally. In the case of a thin lens, I believe there is little disagreement over the meaning of the word; a
thin lens is astigmatic if it has a nonzero cylinder. But what preci... | 4 | [
-0.000713348388671875,
-0.050048828125,
-0.0771484375,
-0.0164794921875,
-0.00994873046875,
-0.0625,
0.134765625,
0.11279296875,
0.01025390625,
0.03955078125,
0.0224609375,
-0.0458984375,
-0.00005412101745605469,
-0.0244140625,
-0.06396484375,
-0.0625,
0.00885009765625,
0.010070800... | 7,773 | 7773 | |
Lucas Number Proof By Induction
July 26th 2008, 12:48 AM
Kiwi_Dave
Lucas Number Proof By Induction
I am having some trouble proving the relationship
$F_n$$L_n$= $F_{2n}$
where $F_n$, $L_n$ are the Fibronachi and Lucas numbers respectively.
Oh, and how should I have written this in Laytex?
Septemb... | 5 | [
-0.03076171875,
-0.01153564453125,
0.0181884765625,
-0.001373291015625,
0.0908203125,
0.016845703125,
-0.045654296875,
0.0869140625,
0.0198974609375,
0.04296875,
-0.008544921875,
-0.032470703125,
-0.07177734375,
-0.00982666015625,
-0.01275634765625,
-0.046875,
-0.10498046875,
-0.00... | 7,774 | 7774 | |
Policy:
Policy:
Copyright(c), 1990, 1995 Fred Cohen - All Rights Reserved
If we consider a network as an information system, we can clearly use the same policy criteria for a network as a system. Networks introduce significant technical issues that are not considered to be
as important in information systems because... | 4 | [
-0.0625,
0.0390625,
0.036865234375,
-0.06982421875,
0.0279541015625,
-0.008056640625,
0.0289306640625,
0.014892578125,
0.03857421875,
0.07080078125,
-0.039306640625,
0.0732421875,
0.1416015625,
-0.032958984375,
-0.03076171875,
-0.0284423828125,
0.06494140625,
-0.0869140625,
-0.03... | 7,775 | 7775 | |
Unit square integral
Compute the following double integrals taken on an unit square: $\int_0^1\int_0^1\sqrt{x^2+y^2}\,dx\,dy$ $\int_0^1\int_0^1\frac{dx\,dy}{\sqrt{1+x^2+y^2}}$ $\int_0^1\int_0^1\frac{dx\,dy}{1-xy}$ $\
int_0^1\int_0^1\frac{dx\,dy}{(2-xy)\ln(xy)}$ $\int_0^1\int_0^1\frac{1-x}{\{-\ln(xy)\}^{5/2}}\,dx\,dy$
... | 5 | [
0.026123046875,
-0.10009765625,
0.0361328125,
-0.0810546875,
0.045654296875,
-0.109375,
-0.06884765625,
0.0264892578125,
-0.07568359375,
-0.007293701171875,
-0.02587890625,
0.06591796875,
0.006134033203125,
0.053955078125,
-0.00274658203125,
0.0673828125,
-0.14453125,
-0.0317382812... | 7,776 | 7776 | |
[SOLVED] Prove the identity, Stuck?
August 7th 2009, 06:38 AM #1
Newbie
Joined
Aug 2009
From
Cape Town
Posts
2
Hi, I tried doing this equation over and over, but I can't seem to get it! I've had sleepless nights for the past week...lol. So, please help me and put me out of my misery, I beg you...
... | 4 | [
-0.10693359375,
0.05126953125,
0.0341796875,
0.0673828125,
-0.005035400390625,
0.01190185546875,
0.0113525390625,
-0.07177734375,
0.038818359375,
0.08203125,
-0.01300048828125,
-0.1259765625,
-0.030517578125,
0.057861328125,
0.0191650390625,
-0.037109375,
-0.0135498046875,
0.049072... | 7,777 | 7777 | |
Connected Hausdorff spaces and graphs
March 11th 2010, 04:29 PM
Drexel28
Connected Hausdorff spaces and graphs
I came up with the following question, and would appreciate if I could get some validation/invalidation.
If $X$ is connected Hausdorff and $\varphi:X\mapsto Y$ continuous then is $\Gamma_\varphi\su... | 5 | [
-0.00360107421875,
-0.04541015625,
0.021240234375,
-0.0517578125,
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0.06884765625,
0.1552734375,
0.04736328125,
-0.052490234375,
-0.01397705078125,
0.09765625,
0.03515625,
-0.007354736328125,
0.08349609375,
0.0712890625,
0.0693359375,
0.04833984375,
-0.03466796875,... | 7,778 | 7778 | |
Algorithm for finding the volume of a convex polytope
up vote 14 down vote favorite
11
It's easy to find the area of a convex polygon by division into triangles, but what is the optimal way of finding the volume of higher-dimensional convex bodies? I tried a few methods for dividing
them into simplices, but gave it up... | 5 | [
0.00555419921875,
0.0045166015625,
0.029541015625,
-0.05810546875,
-0.087890625,
-0.1611328125,
0.000957489013671875,
-0.027099609375,
-0.035888671875,
0.029541015625,
-0.1181640625,
-0.0380859375,
-0.0169677734375,
0.037841796875,
0.000530242919921875,
-0.0400390625,
0.103515625,
... | 7,779 | 7779 | |
Finding the Velocity Vector and Speed after t seconds
September 27th 2009, 09:15 AM #1
Member
Joined
Sep 2009
Posts
79
Finding the Velocity Vector and Speed after t seconds
This is to do with mechanics, which as far as I know is pre-calc, not pre-algebra.
Question: A particle has an initial velocity... | 5 | [
-0.02783203125,
0.017822265625,
0.0673828125,
-0.0179443359375,
0.0037994384765625,
-0.0213623046875,
-0.03662109375,
0.007232666015625,
-0.07861328125,
0.0966796875,
0.058837890625,
0.0252685546875,
-0.057373046875,
0.01507568359375,
-0.07763671875,
0.01953125,
0.050537109375,
0.0... | 7,780 | 7780 | |
Closed-form solution of a recurrence relation.
July 4th 2011, 01:43 AM #1
Junior Member
Joined
Jan 2010
Posts
52
Thanks
17
Closed-form solution of a recurrence relation.
Suppose you have a recurrence relation like:
${x_{n + 2}} - 3{x_{n + 1}} + 2{x_n} = n{\rm$(1)
With ${x_0} = {x_1} = 1$
... | 5 | [
-0.1953125,
0.0286865234375,
-0.01165771484375,
0.00051116943359375,
-0.044677734375,
-0.0286865234375,
-0.02001953125,
-0.00872802734375,
0.03466796875,
0.01385498046875,
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-0.056640625,
-0.00396728515625,
-0.10693359375,
-0.0228271484375,
-0.01092529296875,
-0.0539550... | 7,781 | 7781 | |
power series: interval of convergence
October 5th 2010, 12:03 AM #1
Member
Joined
Oct 2010
Posts
127
power series: interval of convergence
A function (f) is defined by f(x) = 1 + 2x + x^2 + 2x^3 + x^4 + ...
that is, its coefficients are c2n = 1 and c2n+1 = 2 for all n > or = to 0. Find the interval o... | 4 | [
0.01031494140625,
-0.037109375,
-0.018310546875,
0.125,
0.05908203125,
0.0086669921875,
-0.00946044921875,
0.06689453125,
0.0057373046875,
-0.0299072265625,
-0.00482177734375,
-0.050048828125,
0.0458984375,
-0.008544921875,
-0.0830078125,
-0.0252685546875,
0.023681640625,
-0.134765... | 7,782 | 7782 | |
Cyclically 130
March 19th 2013, 01:58 AM
geniusgarvil
Cyclically 130
Consider all quadruples of real numbers (x1,x2,x3,x4), such that x1≤x2≤x3≤x4 and each of the four numbers plus the product of the other three equals 130. If S is the sum of all possible values of
x4, what is S,
rounded to the nearest i... | 4 | [
-0.043212890625,
0.10302734375,
-0.1015625,
-0.16796875,
-0.06396484375,
0.072265625,
0.06884765625,
-0.00439453125,
-0.052978515625,
0.020751953125,
-0.03369140625,
-0.031982421875,
0.1181640625,
-0.041259765625,
-0.042236328125,
-0.036865234375,
0.052001953125,
-0.043212890625,
... | 7,783 | 7783 | |
Help with this D.E please
April 2nd 2009, 06:49 PM #1
Newbie
Joined
Dec 2008
Posts
3
Help with this D.E please
1/v dv=-ke^(s/h) ds
Where k is a constant
Im trying to get v as a function of s by sep. of variables and am fairly confused by the algebra. Any help would be appreciated.
What is ... | 5 | [
-0.0311279296875,
0.04638671875,
0.042724609375,
-0.02490234375,
0.0172119140625,
0.0224609375,
-0.0289306640625,
-0.02099609375,
-0.03369140625,
0.07373046875,
0.06396484375,
-0.046875,
0.0113525390625,
0.0291748046875,
-0.0205078125,
-0.027099609375,
0.041015625,
0.061767578125,
... | 7,784 | 7784 | |
collection of subsets
November 28th 2008, 08:55 AM #1
Junior Member
Joined
Sep 2008
Posts
42
collection of subsets
Let B be the collection of subsets of R of the form [a,b) for a<b, nulset, and the whole set R.
Show that if A and C are elements of B then A intersect B is in B.
and
Show that ... | 4 | [
0.036865234375,
0.044921875,
0.00372314453125,
-0.0230712890625,
0.007720947265625,
0.05908203125,
0.07568359375,
-0.0206298828125,
-0.03076171875,
-0.03662109375,
-0.12255859375,
-0.0830078125,
0.09130859375,
0.00421142578125,
-0.026123046875,
0.06103515625,
0.08203125,
-0.0179443... | 7,785 | 7785 | |
When p is a prime prove that p | {p \choose k}
June 15th 2011, 08:24 AM #1
Junior Member
Joined
Jun 2010
Posts
59
When p is a prime prove that p | {p \choose k}
If p is a prime where $1 \le k < p$, then prove that
$p | {p \choose k}$
This is a standard problem (I googled it and I find other hom... | 5 | [
0.004302978515625,
0.044189453125,
0.0166015625,
-0.033203125,
0.044921875,
0.06396484375,
0.08447265625,
0.060791015625,
0.005401611328125,
0.062255859375,
-0.056640625,
0.07177734375,
-0.005828857421875,
0.01495361328125,
0.025390625,
0.08056640625,
-0.004180908203125,
-0.0196533... | 7,786 | 7786 | |
Solving differential equations with conditions
November 12th 2012, 03:45 AM #1
Newbie
Joined
Nov 2012
From
Canada
Posts
17
Solving differential equations with conditions
y’+ 2xy = 0; y= ce^(-x^2); y=0.5 when x = 0
I have to verify given function is a solution to differential equation. And Find C... | 4 | [
-0.06640625,
-0.004241943359375,
0.08935546875,
0.050048828125,
0.055419921875,
-0.004119873046875,
-0.03076171875,
0.0291748046875,
-0.0267333984375,
0.003143310546875,
0.150390625,
-0.11669921875,
-0.0262451171875,
0.048828125,
-0.0205078125,
0.01220703125,
-0.044677734375,
-0.04... | 7,787 | 7787 | |
proving convergence
October 8th 2007, 07:46 AM #1
Newbie
Joined
Sep 2007
Posts
22
proving convergence
Let
A be a bounded subset of R with infinitely many elements. If
s
= supA is NOT an element of A, prove that there exists a strictly
increasing sequence (xn), xn inA such that limi... | 4 | [
-0.07373046875,
-0.02685546875,
-0.010009765625,
-0.0069580078125,
0.021484375,
0.044189453125,
0.03466796875,
-0.01239013671875,
-0.007659912109375,
-0.0634765625,
-0.009521484375,
0.06005859375,
0.04736328125,
-0.0078125,
0.038330078125,
-0.0230712890625,
0.06884765625,
0.0217285... | 7,788 | 7788 | |
Show that this ratio of factorials is always an integer
up vote 28 down vote favorite
13
show the formula always gives an integer
$$\frac{(2m)!(2n)!}{m!n!(m+n)!}$$
I don't remember where I read this problem, but it said this can be proved using a simple counting argument (like observing that $\frac{(3m)!}{m!m!m!}$ i... | 4 | [
-0.00103759765625,
-0.11376953125,
-0.0216064453125,
-0.00982666015625,
0.0291748046875,
0.043701171875,
0.03173828125,
0.01507568359375,
-0.08349609375,
-0.0106201171875,
0.0126953125,
-0.01055908203125,
0.0244140625,
-0.0296630859375,
-0.0296630859375,
0.054931640625,
0.0458984375,... | 7,789 | 7789 | |
Factorial division problem
February 21st 2010, 11:44 AM #1
Junior Member
Joined
May 2009
From
Tokyo, Japan
Posts
46
Factorial division problem
As a last part of a solution of a second year algebra problem, I have to prove the identity:
a!b! | (a+b)!
a factorial times b factorial divides a+b... | 5 | [
-0.03662109375,
-0.0634765625,
-0.022216796875,
-0.048095703125,
-0.0263671875,
0.12158203125,
0.11865234375,
-0.045166015625,
-0.014892578125,
0.041259765625,
-0.02294921875,
-0.032958984375,
0.048583984375,
0.00823974609375,
0.041015625,
0.1201171875,
-0.006103515625,
0.010375976... | 7,790 | 7790 | |
Treatise On Analysis Vol-Ii
9 MEASURABLE FUNCTIONS 147
12. (a) Let (//)o 5=^/1 be a sequence of real numbers, and let m be an integer fS/z. Let
Lm be the set of indices / with the following property : there exists an integer p such
that 0 fg;? <; w and tt + tl+1 -\ ----- h fi+P-i ^ 0. Show that Y tt *> 0. (Obs... | 4 | [
-0.06982421875,
0.050048828125,
0.05908203125,
-0.01434326171875,
0.10107421875,
0.09716796875,
0.203125,
0.0322265625,
-0.04736328125,
-0.0439453125,
-0.0289306640625,
-0.0177001953125,
0.036865234375,
0.0167236328125,
-0.08642578125,
-0.04296875,
-0.004180908203125,
-0.0510253906... | 7,791 | 7791 | |
analyzing a function
January 5th 2008, 05:41 AM #1
Newbie
Joined
Dec 2007
Posts
9
hi!
this is the given function:
f(x) = |x+5|+ (|x^2+5x+6|/x)
i divided it up into sections:
f(x) = (x+5)+ (x^2+5x+6)/(x)) when -5<x<-3 x>-2
f(x)= -(x+5)+ (-(x^2+5x+6)/(x)) when x<-5 -3<x<-2
i wa... | 4 | [
-0.05224609375,
0.02197265625,
0.0022735595703125,
-0.07763671875,
0.07568359375,
0.035888671875,
-0.0224609375,
0.020263671875,
-0.0164794921875,
-0.03662109375,
0.10009765625,
-0.035888671875,
0.05224609375,
-0.01068115234375,
-0.0289306640625,
0.042724609375,
0.038330078125,
-0.... | 7,792 | 7792 | |
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Topic: Abs and variables
Replies: 3 Last Post: Jun 28, 19... | 5 | [
-0.06982421875,
-0.0069580078125,
-0.06298828125,
0.08154296875,
-0.099609375,
0.005218505859375,
0.049560546875,
0.0023193359375,
-0.0322265625,
0.0240478515625,
0.1025390625,
-0.052734375,
0.07373046875,
0.08056640625,
0.07666015625,
0.01239013671875,
0.046630859375,
0.0141601562... | 7,793 | 7793 | |
Finding two linearly independent solutions (power series)
April 24th 2013, 03:57 PM
LinearOperator
Finding two linearly independent solutions (power series)
for (x^2+2)y'' +3x-y = 0 about the ordinary point x = 0
my guess was y = sum c_nx^n
I think that I did my sum correctly but if someone can double ... | 4 | [
-0.08544921875,
-0.01458740234375,
0.0029144287109375,
0.0274658203125,
0.0306396484375,
0.054443359375,
-0.018310546875,
-0.029541015625,
0.0157470703125,
-0.031982421875,
0.06689453125,
-0.091796875,
-0.031005859375,
-0.080078125,
-0.04150390625,
-0.004241943359375,
-0.050537109375... | 7,794 | 7794 | |
Optimization Problem
February 3rd 2009, 03:04 PM #1
Newbie
Joined
Dec 2008
Posts
19
Optimization Problem
Hi, I had a problem that I just had no idea how to do. I was told it was an optimization but I am still confused. The problem states :
Let S denote the set of points with the coordinates (x,y) suc... | 5 | [
-0.0019989013671875,
0.09423828125,
-0.043212890625,
-0.1435546875,
0.032470703125,
0.047119140625,
0.0186767578125,
0.0380859375,
-0.047119140625,
0.01287841796875,
0.0224609375,
0.06982421875,
0.09326171875,
0.07275390625,
0.0074462890625,
0.05126953125,
0.1044921875,
-0.02526855... | 7,795 | 7795 | |
kinematics question
October 13th 2006, 03:20 PM
scorpion007
kinematics question
A balloon is rising vertically at a constant speed of 21 m/s. A stone is dropped from the balloon when it is h metres above the ground. The stone strikes the ground 10 seconds later. Assuming
that air resistance is negligeble, wh... | 4 | [
-0.01080322265625,
0.08154296875,
0.01239013671875,
0.047119140625,
0.021728515625,
0.03857421875,
-0.045654296875,
0.06640625,
-0.044677734375,
-0.043212890625,
0.09130859375,
-0.0296630859375,
-0.021240234375,
0.03173828125,
-0.049560546875,
0.01312255859375,
0.0308837890625,
0.0... | 7,796 | 7796 | |
[SOLVED] quadratic residues congruence problem
November 19th 2009, 02:23 PM #1
Senior Member
Joined
Feb 2008
Posts
410
[SOLVED] quadratic residues congruence problem
list all solutions of...the ten congruences $x^2\equiv a\mod 11^2$ where $a=1,3,4,5,9$.
We know that each congruence has two solutions... | 4 | [
-0.0361328125,
0.006927490234375,
0.050048828125,
-0.06103515625,
0.064453125,
-0.00872802734375,
0.0341796875,
0.05712890625,
-0.01220703125,
-0.036865234375,
0.04541015625,
0.0849609375,
0.041015625,
0.053955078125,
-0.0537109375,
-0.08203125,
0.02685546875,
0.0157470703125,
0.... | 7,797 | 7797 | |
Generating Function of Catalan Numbers
Date: 04/04/2000 at 04:57:41
From: Chris
Subject: Combinatorics - generating functions
I don't know if you can be any help, but I was given a problem to
solve, which the professor has said is a little beyond where we are
but he wanted to know if anyone could answer it. I have w... | 5 | [
-0.0625,
0.0045166015625,
0.0888671875,
0.046142578125,
-0.06591796875,
0.0223388671875,
0.0035400390625,
-0.0159912109375,
-0.0228271484375,
-0.05126953125,
-0.0179443359375,
-0.061279296875,
-0.0001697540283203125,
-0.09375,
-0.072265625,
0.0595703125,
0.01434326171875,
-0.094726... | 7,798 | 7798 | |
Filling Cylindrical Holes
Date: 05/18/99 at 13:30:44
From: Daymon Raue
Subject: volume of cylinder
Dear Dr. Math,
I'm filling holes with cement. There are 42 holes they have a 9"
diameter and are 4' deep. We want to figure out how much cement it
will take in yards. If you please figure this out and tell me the
answ... | 4 | [
0.0205078125,
0.018310546875,
0.018310546875,
0.0111083984375,
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-0.05078125,
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0.09375,
0.00811767578125,
-0.0224609375,
-0.0927734375,
-0.027099609375,
0.0712890625,
0.07177734375,
0.0023956298828125,
0.07275390625,
-0.037353515625,
0.042236328125,
-0.11... | 7,799 | 7799 |