content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Algorithms: x,y values convert to angle.
February 21st 2013, 01:08 AM #1
Newbie
Joined
Feb 2013
From
Drenthe
Posts
2
Hi i am new on the forum. I am making a smartphone application and this
is the first time i’m working with algorithms.
I am looking for algorithms that can convert x and y val... | 4 | [
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The paradox with the first uncountable ordinal
up vote 1 down vote favorite
1
Suppose we have a set $M = (0,1) \subset R$ of reals well-ordered as the first uncountable ordinal.
Let $M(a) = \lbrace x \in M : x < a \rbrace$. For every $a \in M$ set $M(a)$ is countable. That's why every increasing sequence is bounded:
... | 4 | [
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Roemer's Hypothesis
Soon after the invention of the telescope, Galileo discovered the four largest moons of Jupiter. Subsequently many astronomers made careful observations of those moons, and already by the 1660's
detailed tables of their movements had been developed by Borelli (1665) and Cassini (1668). Naturally th... | 4 | [
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QUIZ
22S:8 MIDT-A 2 April 2007 print NAME___________________
1) Find the SD of the following data set: 12 18 18 24 28
a) 4.52 b) 5.68 c) 6.16 d) 7.08 e) 8.60
82 2 2 2 2 4 2 82
m... | 5 | [
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s
• WORKSHEET Flag
• Introduction
This worksheet is about frustums of cones.
Method
20
5
A solid cone has a diameter of 5 cm and a height of 20 cm.
The top half of the cone is cut off half way up to leave a frustum behind.
(i) the radius of the circle at the top of the frustrum (using proportion) is hal... | 4 | [
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Equivalent Circuits: Impedances and Sources
Figure 2
Simple RC Circuit
Let's find the Thévenin and Mayer-Norton equivalent circuits for Figure 2. The open-circuit voltage and short-circuit current techniques still work, except we use impedances and complex amplitudes.
The open-circuit voltage corresponds to the tr... | 5 | [
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0.04345703125,
-... | 41,605 | 41605 | |
Induction question - combinatorics
October 6th 2010, 08:45 PM #1
Junior Member
Joined
Sep 2010
Posts
36
Induction question - combinatorics
Prove for all 'm' >=1:
\sum_{k=0}^m (k*m-choose-k) = m.2^(m-1)
Im guessing this is an induction problem... and may need to use Pascal's formula but I have g... | 5 | [
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0.0380... | 41,606 | 41606 | |
Euclidean Algorithms
Date: 3/13/96 at 8:44:27
From: John Vogler
Subject: Number Theory
Dear Dr. Math,
What is the Euclidean algorithm? What is a "constructible" number?
What can you tell me about Diophantine equations? I know that one
is an equation in several variables which must be solved for integer
solutions... | 5 | [
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Math Help
Show from the definition that the function f(x) = x^3 is uniformly continuous on the interval [−1, 1].
let $x,y \in [-1,1]$ then note that $f(x)-f(y)=x^3-y^3=(x-y)(x^2+2xy+y^2)$ So we need to bound the 2nd factor since we are on the closed interval [-1,1] this biggest it can be is 4 if x=y=1. so set $
\delt... | 4 | [
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Taylor expansion of a q-analog of the negative binomial distribution
up vote 2 down vote favorite
Given $A,B \in \mathbb{Z}_+$ and $ 0 < t, q< 1$, I'd like to compute the coefficients $c_n(q,A,B)$ in the expansion of the product $$\prod_{i=0}^{A-1} \prod_{j=0}^{B-1} \frac{1}{1-t q^{i+j}} = \sum_
{n=0}^{\infty} c_n t^n... | 4 | [
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Examples On Continuous Variables Expected Value
Examples On Continuous Variables Expected Value
We have already looked at Variance and Standard deviation as measures of dispersion under
the section on Averages.
We can also measure the dispersion of Random variables across a g... | 4 | [
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Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
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Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Push Down Lemma
Replies: 10 Last Post: Feb 11, 201... | 4 | [
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Diophantine Equation Solved by Reasoning
Date: 04/05/2006 at 12:12:45
From: Arka
Subject: Solving an equation.
Find all integral solutions of (1/m) + (1/n) - (1/mn^2) = 3/4.
I am completely at a loss. I am sure that m and n cannot be zero.
But after that I'm stuck.
Date: 04/05/2006 at 22:39:08
From: Doctor Vogle... | 5 | [
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... | 41,612 | 41612 | |
This is probably really simple but they didn't word it right :(
September 16th 2007, 03:48 PM #1
Junior Member
Joined
Sep 2007
From
Oregon, West Coast ^_^
Posts
50
Okay I don't get this:
The diagram above shows a flat surface containing a line and a circle with no points in common. Can you visu... | 4 | [
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A Neighborhood of Infinity
<mad thought>I want to combine two things I've previously discussed:
Synthetic Differential Geometry
(SDG) and
Derivatives of Containers
.
SDG is all about working with values, d, such that d²=0. When this is true, we find that for suitable functions f,
f(x+d)=f(x)+d f'(x) (Eq. 1)... | 5 | [
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... | 41,614 | 41614 | |
Finding the value of the angle theta in radians, knowing sec theta and cot theta
March 29th 2010, 05:50 AM #1
Junior Member
Joined
Mar 2010
Posts
31
Finding the value of the angle theta in radians, knowing sec theta and cot theta
Hi,
The question I have is:
Given that $\sec \theta = -2$, $\cot ... | 4 | [
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Barrier penetration, tunneling
Next: Applications of ``tunneling'' Up: Simple Quantum Systems Previous: Applications of the ``particle
In the previous example, the quantum particle could penetrate for some distance through walls which were infinitely thick. What would happen if a quantum particle were to propagate... | 4 | [
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Definitely Integral
May 9th 2008, 12:02 AM #16
While I was playing with $\int_0^\infty \frac{dx}{1+x^4}$, I found out an interesting way to prove $\int_0^\infty \frac{1 - x^2}{1+x^4}\, dx = 0$
With $x \to \frac1{x}$ substitution:
$\int_0^\infty \frac{dx}{1+x^4} = \int_0^\infty \frac{x^2 dx}{1+x^4}$
... | 5 | [
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The 11 Most Beautiful Mathematical Equations
Wed Jan 30, 2013, 01:20 PM
Ichingcarpenter (31,276 posts)
The 11 Most Beautiful Mathematical Equations
Mathematical equations aren't just useful — many are quite beautiful. And many scientists admit they are often fond of particular formulas not just for their functi... | 4 | [
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Tangent help...
May 14th 2008, 11:29 AM #1
Newbie
Joined
May 2008
Posts
5
Hi,
This is my first post and I'm really sort of stumped trying to do my homework here - it's to be in for tomorrow and I was out when it was being explained...
The sum is:
If tanA = -1, find the two values for angle A... | 4 | [
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winding number
winding number
Let us take $\mathbb{C}$ for the plane. We have a continuous mapping $S:[a,b]\to\mathbb{C}$ where $a$ and $b$ are some reals with $a<b$ and $S(a)=S(b)$. Denote by $\theta(t)$ the angle from the
positive real axis to the ray from $z_{0}$ to $S(t)$. As $t$ moves from $a$ to $b$, we expect ... | 4 | [
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-0.1064453125,
-0.0144653320... | 41,620 | 41620 | |
Proof Perfect Numbers
March 29th 2007, 12:47 PM #1
Newbie
Joined
Feb 2007
Posts
23
Proof Perfect Numbers
Prove the following theorem.
Thm: n is an even perfect # iff n = 2^(m-1)*(2m - 1) where m >= 2 and 2^m - 1 is prime.
Ahh, this will be long. Here goes...
Proof (<==)
n = 2^(m - 1)*... | 5 | [
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Solving Equations
Associated Topics || Dr. Math Home || Search Dr. Math
Solving Equations
Date: 9/3/95 at 7:28:20
... | 4 | [
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0.047119140625,
0.0... | 41,622 | 41622 | |
A Linear Algebra Problem
up vote 7 down vote favorite
Given a matrix $A\in \mathbb{R}^{n\times n}$, I am looking for a symmetric matrix $S\in\mathbb{R}^{n\times n}$ such that
$$ S A + A^T S = I $$
$A$ can be assumed to be regular (with positive determinant, if this is of any help).
The difficulty is of course that ... | 4 | [
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11th grade-Calculas
Posted by Anonymous on Sunday, April 5, 2009 at 8:54pm.
The number of hours of daylight D depends upon the latitude and the day t of the year and is given by the equation :
D(t)=12+Asin(((2pi)/(365))(t-80))
where A depends only on the latitude (and not t). for latitude 30 degress, A is about 2.3
... | 5 | [
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Three-digit numbers
May 1998
A three-digit number is such that its second digit is the sum of its first and third digits.
Prove that the number must be divisible by 11.
Comments
Submitted by Anonymous on July 13, 2011.
Let digits are a,b,c
Let b=a+c because second digit is sum of last and first
So number=a*100+b*... | 4 | [
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Pitch, Tuning and Temperament Design
We will see that the tuning for Das Wohltemperirte Clavier achieves all of these goals and that, as Lindley intimates, in so doing a finer division of the Pythagorean comma is needed.
Marpurg, while arguing the case for Equal Temperament, noted that there is only one ideal version... | 4 | [
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-0.00039482116699218... | 41,626 | 41626 | |
IntroductionProblem FormulationFD-MIMO Imaging ProblemSparse Recovery of the Off-Grid Target for FD-MIMO Imaging ProblemSACR-iMAP AlgorithmBasic Idea of the Proposed AlgorithmAlgorithm DescriptionSparse RecoveryOff-Grid Errors CalibrationParameter UpdateNumerical SimulationsVerification of SACR-iMAPNMSE of the Imaging ... | 4 | [
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0.011962890625,
0.05615234375,
0.016357421875,
-0.00714111328125,
-0.061279296875,
-0.0537109375,
... | 41,627 | 41627 | |
Coin Problem - Wolfram Mathematica Puzzle
Source:
The super awesome puzzle blog by
Gowtham Kumar
-
Puzzle Tweeter - Coin Problem
who got it from
Wolfram Mathematica Problem:
Suppose you have an infinite stock of $a bills and $b bills such that g.c.d(a,b)=1. Find the largest amount of money (integer) that cannot... | 5 | [
-0.07275390625,
0.07080078125,
-0.126953125,
-0.07861328125,
-0.07861328125,
-0.033203125,
0.04296875,
0.0159912109375,
-0.0118408203125,
-0.0279541015625,
-0.06689453125,
0.0126953125,
0.10693359375,
0.05078125,
0.013427734375,
0.04345703125,
0.007293701171875,
-0.07763671875,
-... | 41,628 | 41628 | |
calculus problem
July 31st 2006, 11:38 PM
asian5
calculus problem
Hi evry1, this is a problem i encountered and i cant seem to solve it. can you please help me out. I would really appreciate it if you could help me with all the questions, as im really
struggling!!! thanks (sorry about the vertical lines, the... | 5 | [
-0.03369140625,
0.06982421875,
0.06005859375,
-0.0927734375,
-0.0234375,
-0.0279541015625,
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0.040771484375,
-0.12255859375,
0.035888671875,
-0.00162506103515625,
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0.0233154296875,
0.056396484375,
-0.04248046875,
0.06494140625,
-0.0279541015625,
-0.03... | 41,629 | 41629 | |
A characterization of the blow-up
up vote 6 down vote favorite
4
It is well-known that there is a universal characterization of blow-ups. However, this one is not so easy to use. According to Hartshorne-Theorem II.8.24. The blow-up of a nonsingular $X$ along a
nonsingular subvariety $Y$ have three properties: 1. The b... | 5 | [
-0.05224609375,
-0.0115966796875,
0.06689453125,
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0.10205078125,
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0.016845703125,
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0.12890625,
0.0279541015625,
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0.04638671875,
0.0419921875,
0.07763671875,
0.0458984375,
-0.0032806396484375,
-... | 41,630 | 41630 | |
integration problem
$\iint\limits_R \cos [\frac{\pi x^2}{2}]dxdy$=?, where R is a region bounded by y=0, x=1, y=x.
@ Pandevil1990, what you have done is absolutely right...thanks for that. but here the "[ ]" means box-function....so what will be the answer in that case?
Last edited by Sambit; October 20th 2010 at 10:... | 5 | [
0.06689453125,
0.08837890625,
0.01483154296875,
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0.001220703125,
0.02197265625,
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0.036865234375,
-0.11083984... | 41,631 | 41631 | |
solving f(f(x))=g(x)
up vote 59 down vote favorite
33
This question is of course inspired by the question How to solve f(f(x))=cosx and Joel David Hamkins' answer, which somehow gives a formal trick for solving equations of the form $f(f(x))=g(x)$ on a
bounded interval. [EDIT: actually he can do rather better than thi... | 5 | [
-0.12890625,
-0.0086669921875,
0.0194091796875,
0.04150390625,
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0.01953125,
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-0.018798828125,
0.041259765625,
-0.01025390625,
0.007110595703125,
-0.051025390625,
0.06787109375,
0.05908203125,
-0.0654296875,
0.0203857421875,
0.021362... | 41,632 | 41632 | |
Exponent problem!!
$2^{-n} \left ( 2^n - 2^{1 + n} \right )$ First, note that multiplication is distributive over addition, so this is: $2^{-n} \left ( 2^n - 2^{1 + n} \right ) = 2^{-n} \cdot 2^n - 2^{-n} \cdot 2^{1 +
n}$ Now use the property that $a^x \cdot a^y = a^{x + y}$ So: $= 2^{-n + n} - 2^{-n + 1 + n} = 2^0 - 2... | 4 | [
-0.01519775390625,
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0.034423828125,
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0.031494140625,
-0.072265625,
0.0... | 41,633 | 41633 | |
Integer solutions of x^n + y^n = z^{n-1}
up vote 3 down vote favorite
1
This is related to another question
I am interested in the non-trivial integer solutions of $$ x^n + y^n = z^{n-1} $$
for $n \ge 4$. A solution is trivial if $xyz=0$ or $x = \pm y$. There are infinitely many rational solutions to $x^n + y^n = (x... | 5 | [
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0.056640625,
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0.0439453125,
-0.0303955078125,
... | 41,634 | 41634 | |
Product of 2 projection matrices
October 5th 2009, 03:16 PM #1
Newbie
Joined
Jan 2009
Posts
12
Product of 2 projection matrices
So, I'm working on a proof where if I had product of projection matrices Pi and Pj equal zero, the proof works. The problem statement is kind of long, so I won't write it out..
... | 4 | [
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0.11328125,
-0.051025390625,
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-0.003997802734375,
0.037109... | 41,635 | 41635 | |
Continuity
April 26th 2011, 06:02 AM
wolf12
Continuity
f(x) = { x ; x<= 0
x^2 ; 0 < x < =1
2/x ; 1 < x <= 2
x-1 ; x>2
My problem is whether f(x) is continuous at x = 0 or not. Because left hand limit = f(0) when x approaches to 0 but the right hand limit $eq$ f(0) when x approaches to 0. is it c... | 4 | [
0.0101318359375,
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0.07861328125,
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0.038818359375,
-0.0498046875,
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Finding a Missing Angle
Date: 01/23/2002 at 21:11:07
From: Mel
Subject: Area of a triangle
I am home schooling and am stuck on an assignment about geometry, and
trigonometry. Here's one question:
I have a triangle with sides:
AB = 3.6 cm
BC = 6.5 cm
CA = 5.5 cm
and angle CAB is 90 degrees.
The question is: Using ... | 4 | [
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0.0810546875,
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0.035400390625,
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0.021240234375,
0.07421875,
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0.058593... | 41,637 | 41637 | |
Exponentiation
Consider the problem of computing the exponential of a given number. We would like a procedure that takes as arguments a base b and a positive integer exponent n and computes b^n. One way to do this
is via the recursive definition
which translates readily into the procedure
(define (expt b n)
(if (=... | 4 | [
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0.06640625,
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0.0693359375,
... | 41,638 | 41638 | |
length of line
April 19th 2010, 07:42 PM #1
Member
Joined
Oct 2009
Posts
195
Thanks
1
length of line
Calculate the length of the line segment determined by the path:
x(t) = (a1t + b1, a2t + b2)
as t varies from t0 to t1.
It should be really easy, I'm just not quite sure what is what in... | 4 | [
-0.038818359375,
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-0.01031494140625,
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0.1357421875,
-0.0673828125,
-0.0... | 41,639 | 41639 | |
Homework Help
Posted by John on Monday, December 5, 2011 at 2:18pm.
Two trains depart at the same time from the same station and travel in opposite directions. One train travels 25 mph faster than the other train. After 2 hours the trains are 162 miles apart. Find
the speed of each train.
• math - MathMate, Monday,... | 4 | [
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0.0048217773437... | 41,640 | 41640 | |
sum of an infinite series
July 28th 2009, 05:58 PM #1
Junior Member
Joined
Jul 2009
Posts
42
sum of an infinite series
Find the exact sum of
$\sum_{i = 0}^{\inf} \frac{4+6^n}{8^n}$
because its an infinite series i know i have to use the formula
$\frac{a}{1-x}$
but im not sure about the ... | 5 | [
-0.0223388671875,
-0.022216796875,
0.00001990795135498047,
0.0751953125,
-0.024658203125,
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0.06201171875,
0.0791015625,
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-0.021728515625,
-0.1005859375,
0.043701171875,
-0.017333984375,
-0... | 41,641 | 41641 | |
How to sum binomials
Could somebody please point out to me how to prove
I am not able to produce it with the usual tricks for manipulating binomials.
This arises in the following problem: In dimension D=2n, this shows that Fierzing works, that is that the product of two chiral Weyl spinors can be reexpressed as a li... | 5 | [
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0.0155029296875,
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0.007171630859375,
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0.154296875,
-0.0167236328125,
0... | 41,642 | 41642 | |
Existence of weak limits
up vote 3 down vote favorite
4
Background: Three months ago, I asked this question, which is a bit related to the following (if the answer to it was Yes, then answer to this one would be Yes too, but since that was a No, it still
may be that this one has a positive answer).
Question: does exi... | 5 | [
-0.06884765625,
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0.038330078125,
0.0341796875,
0.00335693359375,
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0.02783203125,
0.0888671875,
-0.05126953125,
0.00958251953125,
... | 41,643 | 41643 | |
Complex Contour Integral
April 22nd 2010, 07:30 AM
Negativ
Complex Contour Integral
I'm attempting to do a complex contour integral as follows:
Integral along C given as the circle |z|=3 in the CCW (positive) direction. Evaluate integral along C of z^-1 + z^-3 dz directly by parameterization of C.
I pa... | 5 | [
-0.05224609375,
-0.033203125,
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0.052978515625,
-0.01611328125,
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0.043212890625,
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0.00872802734375,
0.0281982421875,
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0.06201171875,
0.0252685546875,
-0.013916015625,
-0.007110595703125,
-0.0258789... | 41,644 | 41644 | |
Gas Pressure_2_
Gas Pressure
• Gases exert pressure on any surface they
come in contact with.
• Pressure is related to the number of
collisions the gas molecules have with wall
of a container per unit of area per unit of
time.
• Pressure = Force / Area
... | 4 | [
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-0.029296875,
0.0068359375,
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0.0419921875,
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0.0771484375,
0.01434326171875,
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-0.014404296875,
-0.087890625,
0.06396484375,
-0.07373046875,
... | 41,645 | 41645 | |
Tutorial introduction to Fortran 90
A simple program
The study of physics usually begins with mechanics, so it makes sense to start our study of computational physics in the same place. The intent of this tutorial is to allow you to get some familiarity with the programming proce... | 5 | [
-0.095703125,
0.042724609375,
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0.0966796875,
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0.05419921875,
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-0.04150390625,
0.029541015625,
-0.062255859375,
-0.028564453125,
0.0... | 41,646 | 41646 | |
Notes on the HP-48G
Contents
Introduction
The Hewlett-Packard HP-48G is an excellent full-featured scientific calculator, a good companion for an engineer or scientist. The central facilities of any good scientific calculator are RPN entry,
mathematical operations including trigonometric and exponential functions, a... | 4 | [
-0.109375,
0.056640625,
-0.022216796875,
0.0113525390625,
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0.03564453125,
-0.0213623046875,
-0.050537109375,
-0.050537109375,
-0.0144653... | 41,647 | 41647 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Number "e" and Straightlinecurves; derivative & in... | 4 | [
-0.061767578125,
-0.000507354736328125,
-0.012451171875,
-0.01190185546875,
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0.056640625,
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0.05859375,
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0.0223388671875,
0.00022411346435546875,
-0.06... | 41,648 | 41648 | |
[SOLVED] Help me find this differential
May 27th 2009, 07:09 PM #1
Member
Joined
Apr 2009
Posts
108
This is the question-
part a) let g(x,y)= root (x^2-y^2)
find the differential dg of g
[ my answer is dg= x(dx)/root(x^2-y^2) - y(dy)/root(x^2-y^2)
where dx is the small change and dy is... | 4 | [
-0.0137939453125,
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0.08984375,
0.0235595703125,
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-0.004058837890625,
-0.0341796875,
0.0172119140625,
-0.038330078125,
0.022949... | 41,649 | 41649 | |
Why is -ln8 equal ln1/8?
January 11th 2010, 12:56 PM #1
Why is -ln8 equal ln1/8?
I solved this problem and couldn't get the last step but apparently it went like this. First e^-x=8
Then ln(8)=-x
So x=-ln(8)
Apparently the answer is then x=ln(1/8)
I just don't know why the negative ln8 is equal t... | 4 | [
-0.04345703125,
-0.007476806640625,
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-0.048095703125,
0.053466796875,
-0.0654296875,
-0.0810546875,
-0.1... | 41,650 | 41650 | |
Can injective resolutions be 'enlarged' (or shrunk) to admit only injective maps from extensions?
up vote 0 down vote favorite
3
Let $M$ and $N$ be $R$-modules for some ring $R$. There is a standard result involving the computation of $\text{Ext}^n(M,N)$, using projective resolutions, which says that you can always ch... | 5 | [
-0.0284423828125,
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-0.02490234375,
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0.0830078125,
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-0.03173828125,
0.0296630859375,
0.06982421875,
0.05810546875,
0.01019287109375,
0.... | 41,651 | 41651 | |
Primordial Alchemy: From The Big Bang To The Present Universe -
G. Steigman
1.2. Dynamics
Everything discussed so far has been "geometrical", relying only on the form of the Robertson-Walker metric. To make further progress in understanding the evolution of the universe, it is necessary
to determine the time dependenc... | 4 | [
-0.018310546875,
0.0084228515625,
0.00250244140625,
0.054443359375,
0.0245361328125,
0.0458984375,
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0.10791015625,
0.0008697509765625,
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-0.055908203125,
-0.016357421875,
-0.... | 41,652 | 41652 | |
[SOLVED] Find scalar ||kv||=4
March 6th 2010, 03:51 AM #1
Member
Joined
Oct 2009
Posts
175
[SOLVED] Find scalar ||kv||=4
v = (-1,2,5)
find scalar k such that ||kv||n = 4
First, what does ||k|| mean? Isn't that the distance between the norm of a vector? or the distance between two points?
I... | 4 | [
0.078125,
0.052734375,
-0.05859375,
-0.06494140625,
0.001800537109375,
0.03564453125,
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0.005157470703125,
0.042236328125,
-0.0008697509765625,
... | 41,653 | 41653 | |
Another integral, general power formula.
May 8th 2013, 03:31 PM
togo
Another integral, general power formula.
Hi thanks for the help lately its been good. I don't post these unless a day goes by without a solution.
28-1-20
Integrate:
(int) 2 sqrt(1- e^(-x)) (e^-x) dx
therefore,
u = 1 - e^... | 5 | [
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0.0301513671875,
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-0.000583648681640625,
0.0220947265625,
-0.002197265625,
-0.0537109375,
0.0213623046875... | 41,654 | 41654 | |
coordinates of the vertices of the square
September 9th 2012, 01:50 AM #1
coordinates of the vertices of the square
A square is inscribed in the ellipse whose equation is (x^2/ 16) + (y^2/9) = 1. find the coordinates of the vertices of the square and the perimeter and the area of the square.
Re: coordinates of t... | 4 | [
0.0537109375,
0.09130859375,
0.031005859375,
-0.052978515625,
0.0169677734375,
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0.05859375,
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0.05517578125,
0.02197265625,
0.0546875,
0.044189453125,
0.037841796... | 41,655 | 41655 | |
differencials approximation
March 22nd 2007, 11:46 AM
UMStudent
differencials approximation
I have a test tomorrow in my calc class and have a few problems I'm having trouble with after going through the chapter review problems. So any help and explaination would be great, thanks.
1) Find the linearization ... | 5 | [
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0.0240478515625,
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-0... | 41,656 | 41656 | |
Probability of shelf life (in hours)
January 23rd 2009, 11:28 PM #1
Member
Joined
May 2008
Posts
103
Probability of shelf life (in hours)
The shelf life (in hours) of a certain perishable packaged food is a random variable whose probability density function is given by
f(x)=20,000/((x+100)^3) for x>... | 4 | [
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Physics 12, Coulomb's Law
Coulomb's Law
The torsion balance was invented by the Englishman John Mitchell in
the mid 1700's.
A torsion balance is a precision instrument which allows for the
measurement of a very small force. A wire is used to hang a lever
arm. The wire is uniform in diameter and composition.
An objec... | 5 | [
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0.1259765625,
-0.07... | 41,658 | 41658 | |
Network Calculus
Mabia Daniel Cavalcante · Home Page
Network Calculus (NC)
Introduction
Network Calculus (NC) appeared in the 90’s as a deterministic tool for the performance analysis of packet networks in a worst case scenario.
Communication networks can carry traffic from a wide variety of applications such as on... | 4 | [
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the dollar bill problem
April 24th 2014, 12:26 PM #1
Newbie
Joined
Jan 2011
Posts
7
the dollar bill problem
[Caveat: I'm not a mathematician and I can't write formulae in Tex, so please bear with my non-professional approach and editing].
A few days ago I was watching a TV programme about maths-based... | 5 | [
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Is the Lie algebra-valued curvature two-form on a principal bundle P the curvature of a vector bundle over P?
up vote 3 down vote favorite
6
I am an analyst struggling through some geometry used in physics.
Some background: For some Lie group $G$, let $P$ be a principal $G$-bundle over the smooth manifold $M$. Let $\... | 4 | [
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-0.02429199218... | 41,661 | 41661 | |
Fitting Lines to Data
5.10: Fitting Lines to Data
Difficulty Level: Basic Created by: CK-12
Practice Fitting Lines to Data
Suppose that each day an ice cream truck recorded the high temperature outside and the number of ice cream treats sold. They then entered the data points into a graphing calculator. Do you think... | 4 | [
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-... | 41,662 | 41662 | |
Recursion
Two statements are often made about recursion:
• A. Recursion works by starting with a computation over a large example and computing the solution in terms of the same computation over 1 or more smaller examples.
• B. Any iteration can be implemented as recursion. In fact, in ML, you have no choice, and... | 5 | [
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0.02... | 41,663 | 41663 | |
Quandaries & Queries at Math Central
97 items are filed under this topic.
1,990 cubic yards in 2013-07-16
gallons
You have 1,990 cubic yards of concrete to pour. If the average swimming pool holds 25,000 gallons, how many pools can Be poured with the 1,990 cubic yards of concrete.
... | 4 | [
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0.07666015625,
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0.09375,
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2
Quantum Gravity Seminar
Week 2, Track 2
Toby Bartels
October 9, 2000
"Whew!" thought the track 1 student "I thought I'd never get through that problem. But it wasn't as hard as I thought!". Then she and the other track 1 students (including Oz) left.
"All right," said the Wizard "remember where we were last time... | 4 | [
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0.017822265625,
0.027099609375,
0.03857421875,
-0.06591796875,
0.0... | 41,665 | 41665 | |
Questions related to vector spaces and rank of a matrix
July 29th 2010, 08:33 AM
Ginsburg
Questions related to vector spaces and rank of a matrix
Hello, I'm new here (Hi)
I collected some tough questions regarded vector spaces and rank of a matrix that I couldn't answer, and ask your help, please.
1. let... | 5 | [
-0.033935546875,
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0.02734375,
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0.03662109375,
-0.011474609375,
-0... | 41,666 | 41666 | |
Diophantine Equation
February 19th 2007, 09:28 PM #1
Member
Joined
Sep 2006
Posts
221
Diophantine Equation
Solve: 100y + x - 68 = 2*(100x + y)
I know the answer is x = 10; y = 21, but I did that from trial and error. Can you show me step by step how to solve this. I believe you use Euclidean Algorit... | 5 | [
-0.09228515625,
0.0400390625,
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0.020263671875,
0.003265380859375,
0.0576171875,
0.0279541015625,
0.061279296875,
-0.046630859375,
0.0233154296... | 41,667 | 41667 | |
Accumulating Interest
Date: 07/10/2003 at 18:25:25
From: Joey
Subject: Accumulating interest
I'm taking a course on problem-solving, in which we were given the
following problem to solve:
Michael has $355.00 left over each month after paying all his monthly
bills. Instead of spending his leftover money each month, M... | 5 | [
0.07373046875,
0.0498046875,
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-0.031005859375,
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0.0302734375,
... | 41,668 | 41668 | |
compute kth central moments in one pass
Continuing on the same topic as my previous post, its nice to be able to gather all the kth order moments in a single pass.
Last time I mentioned the boost/accumulators example, but you will have noticed two issues if you use that. Firstly, moment<k> tag will give you the kth s... | 4 | [
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0.03076171875,
-0.038330078125,
0... | 41,669 | 41669 | |
help with variation of parameters question
April 14th 2011, 11:09 PM
linalg123
help with variation of parameters question
Question: solve: 2x^2y'' + 5xy' + y = x^2 - x
My attempt so far: y'' + (5y'/2x) + (y/x^2) = 1/2 - 1/(2x)
yh: λ^2 + (5/2)λ +1 = 0
(2λ+1)(λ+2) = 0
λ = -1/2, -2
yh= c1e^(-... | 5 | [
-0.0537109375,
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0.09375,
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-0.0211181640625,
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0.06103515625,
-0.02099609375,
-0.100097... | 41,670 | 41670 | |
Vitali Covering Theorem for Arbitrary Subsets of Doubling Metric Spaces
up vote 1 down vote favorite
Hello,
I've been wondering today around the following exercise in J.Heinonen's "Lectures on Analysis on Metric Spaces" (see below for terminology): prove that the statement of Vitali Covering Theorem for
bounded subse... | 5 | [
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0.031494140625,
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0.0023956298828... | 41,671 | 41671 | |
Indicies and Substitution
please help if you take y=x^1/3, find the values of x, if x^1/3 - 2x^-1/3= 1
$x^{1/3} - 2x^{-1/3}= 1$ $x^{1/3} - \frac{2}{x^{1/3}}= 1$ $x^{2/3} - x^{1/3} - 2= 0$ This is a quadratic $x^{1/3} = \frac{1 \pm \sqrt{1 - 4 \cdot 1 \cdot -2}}{2 \cdot 1}$ $x^{1/3} = \frac{1 \pm 3}{2}
$ $x = (\frac{1 ... | 4 | [
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0.059814453125,
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0.05810546875,
-0.022216796875,
-0.03540... | 41,672 | 41672 | |
Calculus is killing me!
April 8th 2008, 06:23 PM #1
Newbie
Joined
Apr 2008
Posts
5
Calculus is killing me!
Three sides of a rectangular playing field are to be fenced with 400 m of fencing. Find the dimensions so that the area of the field will be a maximum.
Can any one solve this question?
OK here... | 5 | [
0.06494140625,
0.0673828125,
0.01312255859375,
-0.10302734375,
0.0224609375,
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0.09375,
0.016845703125,
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-0.05810546875,
-0.00909423828125,
-0.1... | 41,673 | 41673 | |
Converting horizontal speed to vertical speed
July 27th 2006, 06:06 AM
pashah
Converting horizontal speed to vertical speed
Hello I am having some difficulty solving this problem. Any help would be greatly appreciated.
For 1989 and 1990 Dave Johnson had the highest decathlon score in the
world. When Joh... | 4 | [
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0.011474609375,
0.07910... | 41,674 | 41674 | |
Factoring an odd polynomial
February 2nd 2010, 10:39 PM
Katzenjammer
Factoring an odd polynomial
I'm in a Systems & Signals class and I need to find the stability of a system.
I know that if the roots to the characteristic equation of the system are equal or less than 1, the system is stable. My problem is ... | 4 | [
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0.087890625,
-0.02734375,
-0.0088500... | 41,675 | 41675 | |
help on some math questions???anyone?
July 11th 2008, 10:49 AM #1
Newbie
Joined
Jul 2008
Posts
15
I have some math questions:
Reform the indicated operation. write in lowest terms.
#8. 2 2/5 times 1 6/7?
#10. 2 2/5 divide 6?
#12. 1 1/6+4 3/5?
#14. 50 1/4-32 2/3?
#20. what is the le... | 4 | [
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0.08056640625,
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0.009765625,
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0.014892578125,
-0.0869140625,
0.064453125,
-0.0169677734375,
0.... | 41,676 | 41676 | |
If \Omega_X/Y is locally free of rank dim(X)-dim(Y), is X->Y smooth?
up vote 6 down vote favorite
2
Suppose I have a morphism f:X→Y such that the relative sheaf of differentials Ω[X/Y] is locally free. Does it follow that f is smooth?
The answer is no, but for a silly reason. You could have some non-reducedness (Spec... | 4 | [
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0.0966796875,
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0.054443359375,
0.043701171875,
0.0093994140625,
-0.0026397705078125,
0.... | 41,677 | 41677 | |
Question about the constant that occures after differentiation/integration
December 9th 2009, 10:26 AM #1
Newbie
Joined
Dec 2009
Posts
7
Question about the constant that occures after differentiation/integration
Hi!
I have a question about something I find a bit peculiar. The textbook of my math-cou... | 5 | [
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0.0038299560546875,
0.06982421875,
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-0.06982421875,
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0.06689453125,
-0.0294189453125,
-0.07958984375,
-0.00173187255859375,
0... | 41,678 | 41678 | |
M
Annu. Rev. Astron. Astrophys. 1984. 22: 471-506
Copyright © 1984 by . All rights reserved
2. INFERENCES INSENSITIVE TO DETAILED MODEL
Before focusing on specific properties of black holes, it is interesting to consider some general features of compact ultraluminous sources. Certain order-of-magnitude quantit... | 4 | [
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0.130859375,
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0.053466796875,
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-0.056640625,
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-0.06396484375,
0.09521484375,
-0.029174804... | 41,679 | 41679 | |
Completing the square
Confused how you get from step 1 to step 2 I don't understand how you get the -7 from x^2-2x
This looks like you picked up the algebra in the middle of a problem. Could you please state the original problem? Thanks!
Solve x2 = 2x + 7 (a similar equation to the earlier example) First rearrange to... | 4 | [
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0.06640625,
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-0.07421875,
-0.013671875,
-... | 41,680 | 41680 | |
Orthogonal Complements and conjugate of inner product
December 1st 2011, 05:55 PM #1
Junior Member
Joined
Nov 2011
Posts
45
Orthogonal Complements and conjugate of inner product
Let V be R
3
with the inner product
<v, w> = 3v1w1 + 2v2w2 + v3w3
where v = (v1, v2, v3) and w = (w1, w2, w3).
... | 4 | [
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0.009765625,
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-0.00193023681640625,
0.0177001953125,
-0.0168... | 41,681 | 41681 | |
Advanced cubic interpolation problem
October 31st 2008, 12:27 AM #1
Newbie
Joined
Oct 2008
Posts
7
Hi everyone.
I have the following problem:
Our task is to find the local minima of the polynomial f(x)=ax^3+bx^2+cx+d, which is made by interpolation from these values:
Suppose we have x1, x2, ... | 4 | [
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0.08056640625,
0.00067138671875,
0.00830078125,
0.0966796875,
-0.0478515625,
0.03039... | 41,682 | 41682 | |
Example: Testing for Primality
Next: Formulating Abstractions with Higher-Order Up: Procedures and the Processes Previous: Greatest Common Divisors
Example: Testing for Primality
This section describes two methods for checking the primality of an integer n, one with order of growth
Searching for divisors
Sin... | 4 | [
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0.033203125,
-0.037841796875,
-0.039306640625,
0.064453125,
-0.1357421875,
-0.0130615234375,
0.07568359375,
-0.0458984375,
0.0174560546875,
-0.048583984375,
0.05224609375,
0.0250244140625,
0.059814453125,
-0.036865234375,
-0.09228515625,
-0.037841796875,
0.0578613281... | 41,683 | 41683 | |
Ordering resisters for the most stable circuit
November 8th 2010, 07:24 AM #1
Ordering resisters for the most stable circuit
i have to connect 50 resistors in a series circuit. each resistor has a different value of resistance. i must arrange them in a certain way so that my electrical circuit will be most stabil... | 4 | [
-0.028564453125,
0.06494140625,
0.02880859375,
-0.005462646484375,
-0.012939453125,
0.01068115234375,
-0.07177734375,
0.04150390625,
0.0128173828125,
0.02783203125,
-0.09130859375,
-0.0849609375,
0.1044921875,
0.087890625,
0.037109375,
0.10009765625,
-0.0595703125,
0.042724609375,
... | 41,684 | 41684 | |
Operating on Negative Numbers
Date: 10/21/96 at 19:35:47
From: Jake
Subject: Integers
Hi Dr. Math,
I have lots of problems with multiplying and dividing integers.
Do you have any tricks for me? I can add and subtract integers, but
multiplication and division are really hard for me. The negative and
positive numbers... | 4 | [
-0.05322265625,
0.0732421875,
0.0252685546875,
-0.035400390625,
-0.02197265625,
-0.0272216796875,
-0.017578125,
0.046630859375,
-0.058349609375,
-0.05126953125,
0.050537109375,
-0.036376953125,
0.042236328125,
0.0712890625,
-0.052001953125,
-0.008056640625,
-0.021240234375,
0.06396... | 41,685 | 41685 | |
Creating a Payoff Matrix
Date: 06/04/2003 at 20:44:04
From: Elena
Subject: Game theory problem: how to create a payoff matrix
Shoe Town and Fancy Foot are both vying for more share of the market.
If Shoe Town does no advertising, it will not lose any share of the
market as long as Fancy Foot does nothing. Shoe Town ... | 4 | [
0.0076904296875,
0.004547119140625,
-0.07763671875,
-0.023193359375,
0.03125,
0.005615234375,
0.003662109375,
-0.03662109375,
-0.07568359375,
0.07763671875,
0.03564453125,
0.0556640625,
-0.02392578125,
0.048095703125,
0.0296630859375,
0.06640625,
-0.009765625,
0.000530242919921875,... | 41,686 | 41686 | |
Position Vector of Reflection of a Point
August 10th 2009, 12:18 AM #1
Newbie
Joined
Aug 2009
Posts
2
Hello, I am currently having trouble understanding how to find the reflection point of a point with the coordiantes of that point and the vector equation of the line. I have tried finding the
maginitu... | 4 | [
-0.08544921875,
-0.0225830078125,
0.040283203125,
-0.111328125,
0.0019683837890625,
0.0145263671875,
0.0556640625,
0.024658203125,
-0.01904296875,
0.01708984375,
0.0162353515625,
0.0035247802734375,
-0.0164794921875,
-0.07421875,
-0.0986328125,
-0.015625,
-0.08447265625,
-0.0668945... | 41,687 | 41687 | |
Table of Integrals/Trigonometic Substitution and Partial Fraction Decomposition
February 17th 2010, 05:51 PM #1
Junior Member
Joined
Jan 2010
Posts
28
Table of Integrals/Trigonometic Substitution and Partial Fraction Decomposition
Hey guys, I have a few problems that I'm having trouble with. If anyone co... | 5 | [
0.01409912109375,
0.0211181640625,
0.08642578125,
-0.05615234375,
0.06787109375,
-0.034912109375,
-0.0595703125,
0.0556640625,
-0.09326171875,
0.07177734375,
-0.016357421875,
-0.04736328125,
-0.0157470703125,
0.01123046875,
-0.04736328125,
0.0216064453125,
-0.08154296875,
-0.001083... | 41,688 | 41688 | |
Some Radical Ideal proofs
March 21st 2011, 05:38 PM #1
Newbie
Joined
Nov 2010
Posts
5
Some Radical Ideal proofs
If I is an Ideal for communitive ring R, prove Rad(I) is and Ideal of R and that I is an ideal of Rad(I)
For the first, I looked at for r ∈ R, a ∈ Rad(I). Therefore a^n ∈ I for some posit... | 5 | [
-0.056396484375,
0.020263671875,
-0.05322265625,
0.0269775390625,
-0.0028076171875,
-0.06982421875,
0.11083984375,
0.00225830078125,
0.025390625,
-0.03564453125,
-0.09912109375,
0.00946044921875,
0.1044921875,
-0.026611328125,
0.03662109375,
0.08740234375,
0.009033203125,
0.0488281... | 41,689 | 41689 | |
an
Math::PlanePath::ZOrderCurve -- alternate digits to X and Y
use Math::PlanePath::ZOrderCurve;
my $path = Math::PlanePath::ZOrderCurve->new;
my ($x, $y) = $path->n_to_xy (123);
# or another radix digits ...
my $path3 = Math::PlanePath::ZOrderCurve->new (radix => 3);
This path puts points in a self-similar Z ... | 4 | [
-0.1142578125,
-0.029052734375,
-0.0791015625,
-0.0595703125,
-0.007415771484375,
-0.03466796875,
0.0400390625,
-0.0296630859375,
-0.00008344650268554688,
-0.056884765625,
0.042236328125,
0.042724609375,
-0.006561279296875,
0.0213623046875,
-0.043212890625,
-0.01318359375,
-0.0363769... | 41,690 | 41690 | |
Probability Function
October 23rd 2008, 03:16 AM #1
Newbie
Joined
Oct 2008
Posts
22
Probability Function
Struggling here with this question would really appreciate and be very thankful for any help. It seems really general to me and clearly don't have a knack for this, and just need to understand
how... | 5 | [
-0.01904296875,
0.00067138671875,
0.0032806396484375,
-0.04296875,
0.043701171875,
-0.0206298828125,
0.10791015625,
0.04345703125,
0.0123291015625,
-0.08984375,
-0.0224609375,
0.006805419921875,
-0.02734375,
0.04638671875,
0.08984375,
0.040771484375,
-0.01123046875,
0.008544921875,... | 41,691 | 41691 | |
Examples where Kolmogorov's zero-one law gives probability 0 or 1 but hard to determine which?
up vote 19 down vote favorite
4
Inspired by this question, I was curious about a comment in this article:
In many situations, it can be easy to apply Kolmogorov's zero-one law to show that some event has probability 0 o... | 4 | [
-0.00225830078125,
-0.031982421875,
-0.030029296875,
0.050048828125,
0.028076171875,
-0.0230712890625,
0.0341796875,
0.0035400390625,
0.08837890625,
0.04541015625,
-0.004119873046875,
-0.05859375,
0.0771484375,
-0.0024871826171875,
-0.033935546875,
-0.03125,
0.0208740234375,
-0.099... | 41,692 | 41692 | |
Remainder Problem
September 30th 2010, 10:05 AM #1
Member
Joined
Nov 2008
Posts
152
Remainder Problem
What is the remainder when 40! is divided by 1763?
I know this would be much easier if 1763 was prime, but it's not. So I don't see how Fermat's Little Theorem or Wilson's Theorem are applicable.
... | 5 | [
0.028564453125,
-0.0146484375,
0.03564453125,
-0.0830078125,
-0.046630859375,
0.0400390625,
0.06591796875,
0.032958984375,
-0.07666015625,
0.058349609375,
-0.01275634765625,
0.032958984375,
-0.0037384033203125,
0.01007080078125,
0.0086669921875,
0.040283203125,
0.0012969970703125,
... | 41,693 | 41693 | |
Calculating an APR
Date: 10/01/2002 at 22:57:08
From: Yoshi Menna
Subject: Calculating the APR
Compound interest seems like a black art to me...
A company made a loan for 12 months. The total amount was $790.60 and
they charged $94.83 interest. How can I calculate the APR?
I have tried to reverse: (1+r)^2*P-(1+r)R-... | 5 | [
0.049072265625,
0.1083984375,
-0.02734375,
0.022216796875,
-0.0308837890625,
-0.0966796875,
-0.0240478515625,
0.08203125,
0.00176239013671875,
0.05712890625,
0.017822265625,
0.0103759765625,
-0.0037841796875,
0.06640625,
-0.01165771484375,
-0.0123291015625,
-0.07568359375,
0.025756... | 41,694 | 41694 | |
Hyperbolic Functions
October 25th 2009, 08:47 PM
xxlvh
Hyperbolic Functions
Consider $f(x) = asinhx + bcoshx$ where a and b are real numbers.
For what values of a and b does f have an extremum at x = 0?
For what values of a and b does f have an extremum at x = c?
I started out by differentiating:
... | 4 | [
-0.000782012939453125,
0.032470703125,
-0.0091552734375,
-0.030029296875,
-0.03369140625,
0.033935546875,
0.023193359375,
0.0201416015625,
-0.01611328125,
-0.017578125,
0.0791015625,
-0.09521484375,
0.06298828125,
0.0086669921875,
0.0166015625,
0.057861328125,
-0.028076171875,
-0.1... | 41,695 | 41695 | |
Please help with the Algebra in finding the dervitives of these two parametric eqns
October 3rd 2012, 04:23 PM #1
Junior Member
Joined
Aug 2012
From
Maryland
Posts
45
Please help with the Algebra in finding the dervitives of these two parametric eqns
5) x = e^√t y= t - ln(tē) Correct Answer : 2√t(1-(... | 5 | [
-0.08642578125,
0.01129150390625,
0.05517578125,
-0.01171875,
0.057861328125,
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0.00003409385681152344,
0.0986328125,
-0.0185546875,
0.0220947265625,
0.109375,
-0.0859375,
-0.01318359375,
0.0654296875,
0.0517578125,
0.029296875,
-0.05517578125,
-0.05126953125,
-0.0... | 41,696 | 41696 | |
A silly technical question on Albert algebras
up vote 3 down vote favorite
1
Apologies in advance for this spectacularly uninteresting question, but it has just come up in my work. (Okay, not in a truly important way, but I am trying to gauge the scope of a certain
construction.)
Let $K$ be a field and $A$ be a divis... | 5 | [
-0.0201416015625,
-0.0615234375,
-0.0947265625,
0.025390625,
-0.09033203125,
-0.0341796875,
0.00762939453125,
-0.091796875,
-0.01123046875,
-0.078125,
0.01312255859375,
0.0230712890625,
-0.0167236328125,
0.00433349609375,
0.031982421875,
0.1240234375,
0.01031494140625,
0.0888671875... | 41,697 | 41697 | |
Topologic or geometric mean of the structure constants of a semi simple lie algebra
up vote 2 down vote favorite
1
Let $G$ be a semi simple Lie group (or real reductive), $\mathfrak{g}$ its lie algebra and $B$ its killing form. We can defined the 3-form $k$ by $$k(X,Y,Z)=B([X,Y],Z).$$ with $X,Y,Z\in \mathfrak{g}
$. In... | 4 | [
-0.1083984375,
-0.010498046875,
0.01422119140625,
-0.018798828125,
-0.10693359375,
-0.007568359375,
0.053955078125,
-0.0250244140625,
0.003570556640625,
0.0294189453125,
-0.006683349609375,
-0.018798828125,
-0.0576171875,
-0.07958984375,
0.033203125,
0.05078125,
-0.09521484375,
0.0... | 41,698 | 41698 | |
Is there a Sudoku matroid?
up vote 8 down vote favorite
2
This question is inspired from this one, where it is asked what is the minimum number of checks needed to verify that a Sudoku solution is correct. Let
$$ E=\{r_1, \dots, r_9\} \cup \{c_1, \dots, c_9\} \cup \{b_1, \dots, b_9\}, $$ where $r_i, c_i$, and $b_i$ a... | 5 | [
-0.000659942626953125,
0.004791259765625,
-0.0439453125,
-0.10107421875,
0.009033203125,
0.053466796875,
0.059814453125,
0.0654296875,
-0.0177001953125,
0.01373291015625,
-0.1103515625,
-0.01123046875,
0.04345703125,
-0.0086669921875,
-0.05224609375,
-0.0166015625,
0.04248046875,
0... | 41,699 | 41699 |