content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Clark in Montana
Navigation — finding the latitude
Three Forks of the Missouri, July 27, 1805:
. . . beleiving this to be an essential point in the geography if this western part of the Continent I determined to remain at all events untill I had obtained the necessary data for fixing
it's latitu... | 5 | [
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... | 5,800 | 5800 | |
Automorphism of the Dihedral Group D8
December 8th 2011, 12:26 PM
Bernhard
Automorphism of the Dihedral Group D8
Dummit and Foote Section 4.4 Automorphisms, Exercise 3 reads as follows:
==================================================
Prove that under any automomorpism of http://latex.codecogs.com/pn... | 5 | [
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Experiment of the Month
What Holds a Car Up?
Senior Brett Kunkle, who will teach high school physics after his National Guard committment, wanted to study the forces in the sidewalls of a race tire for his senior seminar project. As often
happens, the physics led on a slightly different path. The question of identify... | 5 | [
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... | 5,802 | 5802 | |
IntroductionProblem FormulationMerit Function with a Penalty TermTraditional Merit Function DescriptionMerit Function with a Penalty FunctionPDP-TBD AlgorithmPDP-TBD ProcedurePenalty Term Calculation Using Tracking TechniquesSimulation ResultsScenario-1Scenario-2Scenario-3Scenario-4ConclusionsReferencesFigures and Tabl... | 4 | [
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Estimating
Kim, M. W. and W. M. Liao. 1994. Estimating hidden quality costs with quality loss functions. Accounting Horizons (March): 8-18.
Summary by Kellee Mundy
... | 5 | [
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Sublime Numbers
For any positive integer n let t(n) denote the number of divisors of n, and let s(n) denote the sum of those divisors. The ancient Greeks classified each natural number n as "deficient", "abundant",
or "perfect" according to whether s(n) was less than, greater than, or equal to 2n. Notice that the n... | 5 | [
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-0.... | 5,805 | 5805 | |
Sep. by Var.
September 11th 2007, 07:40 AM #1
Member
Joined
Sep 2006
Posts
221
Sep. by Var.
I have another seperation by variables problem, and the hardest part for me is separating the variables which is probably why we have this lesson.
This one seems complicated..I have to solve this dif eq by us... | 5 | [
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Graph Parabola Lesson Plans & Worksheets | Lesson Planet
Graph Parabola Teacher Resources
Find Graph Parabola educational ideas and activities
Showing 1 - 20 of 84 resources
Students graph parabolas and circles. In this algebra lesson, students create a table of values and graph the coordinate pairs to create a grap... | 4 | [
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inequality
March 8th 2010, 11:53 PM #1
Member
Joined
Nov 2009
Posts
107
inequality
Solve this inequality
$|2x-1|+|x+2|\geq 4x$
so i have to for 3 different cases , $x\geq 1/2$ , $-2\leq x<1/2$ , $x<-2$
For $x<-2$ , $-(2x-1)-(x+2)\geq 4x$
$x\leq -\frac{1}{7}$
For $x\geq \frac{1}{2... | 4 | [
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Integrals using cylindrical shells when rotated on non-axis line
April 7th 2010, 09:27 AM #1
Integrals using cylindrical shells when rotated on non-axis line
I am getting a bit confused here.. the question asks to find the volume of the solid that results from rotating $y^2=8x, x=2$ around the line $x=4$.
My... | 4 | [
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Finding the second derivative of a function
November 13th 2009, 06:34 PM #1
Member
Joined
Oct 2009
Posts
229
Finding the second derivative of a function
$y = (x^3 - 2x)^4$
$y' = 4(x^3 - 2x)^3 (3x^2 - 2)$
$y'' = ?$
I'm having difficulty proceeding from there to get the second derivative. Th... | 5 | [
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Finding Covariance of simple joint DF
September 12th 2012, 12:32 AM #1
Junior Member
Joined
Sep 2012
From
Due North
Posts
26
Finding Covariance of simple joint DF
A joint density function is given by:
f(x, y) = kx 0 < x, y < 1
0 otherwise
Find Cov(X, Y)
******
Those bounds are giv... | 5 | [
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Examples 2.2.2:
Show that all of the following sets are uncountable:
1. The open interval (-1, 1) is uncountable
2. Any open interval (a, b) is uncountable
3. The set of all real numbers R is uncountable
Recall that the set (0, 1) is uncountable, as proved before. Then:
1. Define the function
• f(x) = 2x - 1 ... | 5 | [
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Limits going to negative infinity
November 6th 2012, 03:02 PM #1
Junior Member
Joined
Jul 2012
From
NY
Posts
40
Limits going to negative infinity
$\lim_{x \to -\infty } \frac{\sqrt{2x^2 + 1}}{3x - 5}\\\lim_{x \to -\infty } \frac{(\sqrt{2x^2 + 1}) \cdot \frac{1}{\sqrt{x^2}}}{(3x - 5) \cdot \frac{1}{x}... | 4 | [
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MathGroup Archive: August 2012 [00253]
[Date Index] [Thread Index] [Author Index]
Re: V8 slow like a snail
• To: mathgroup at smc.vnet.net
• Subject: [mg127726] Re: V8 slow like a snail
• From: "Dr. Wolfgang Hintze" <weh at snafu.de>
... | 5 | [
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Percentages-1
Percentages
What is the chance heads will appear on tossing a dice?
Answer: 50%.
It is read as “Fifty per cent” symbolically written as “50%”.
The percent symbol “%” is the fraction: 1/100
i.e., 50% is 50 × (1/100) = 50/100 = ½
Per cent means per hundred.
Cent is centum i.e., 100.
The symbol % den... | 4 | [
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Computing a bivariate regression from the Course SPSS Statistics Essential Training (2011)
Start learning with our library of video tutorials taught by experts. Get started
In this course, author Barton Poulson takes a practical, visual, and non-mathematical approach to the basics of statistical concepts and data anal... | 4 | [
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Find the radius of convergence and the interval of conv...
July 18th 2013, 06:33 PM
hbarnes
Find the radius of convergence and the interval of conv...
convergence, also indicating the type of convergence, either absolutely or conditionally.
Σ [n=2 to n=infinity] [(-1)^n (2x+3)^n]/(nln(n))
I tried to ta... | 5 | [
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MATLAB
Syntax
Description
h = jbtest(x) returns a test decision for the null hypothesis that the data in vector x comes from a normal distribution with an unknown mean and variance, using the Jarque-Bera test. The alternative
hypothesis is that it does not come from such a distribution. The result h is 1 if the test... | 5 | [
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value of x when pi/2 < x < pi
January 21st 2013, 04:21 AM
rcs
value of x when pi/2 < x < pi
find the value of x in the equation 2 sin x - 1 = 0 ,where pi/2 < x < pi
the choices are: pi/ 6, pi/3, 5pi/6, 2pi/3
my answer is 2pi/ 3... because it says pi/2 < x < pi because if i translate this to degrees... | 4 | [
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Network Theory (Part 17)
November 12, 2011
Network Theory (Part 17)
We've seen how Petri nets can be used to describe chemical reactions. Indeed our very first example came from chemistry:
However, chemists rarely use the formalism of Petri nets. They use a different but entirely equivalent formalism, called 'reacti... | 4 | [
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Probability and Statistics
Re: Probability and Statistics
Re: Probability and Statistics
Hi maudish;
I believe the sequence looks like this:
For various n x n boards:
2 x 2 =0,
3 x 3 =4
4 x 4 =8,
5 x 5 =22
6 x 6 =36
7 x 7 = ?,
8 x 8 = 96
All by actual count. If i find a formula for n x n will post it.
Last edited... | 5 | [
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DEMOS with POSITIVE IMPACT NSF
DEMOS with POSITIVE IMPACT
NSF DUE 9952306
A pro... | 4 | [
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Find the Osculating Circle
February 23rd 2010, 01:39 PM #1
Newbie
Joined
Feb 2010
Posts
20
Find the Osculating Circle
Cheers everyone.
I have to find the osculating circle of r(t) = <2cos(t),3sin(t)> at t = $pi$/2.
I find r'(t)=<-2sin(t),3cos(t)> and |r'(t)|=(4sin^2(t)+9cos^2(t))^(1/2). I conve... | 5 | [
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ddition -
January 2010
Repeated Addition - One More Spin
A HAPPY NEW YEAR TO YOU!
If you came here to find the answers to the puzzles I gave in last month's column, you'll find them further down the page.
Talking of the new year, why do mathematicians think that this is an ideal year?
I'll answer that teaser next... | 4 | [
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... | 5,824 | 5824 | |
How to find the solution 8*x/e^x = 2
October 25th 2010, 06:42 PM #1
Newbie
Joined
Mar 2010
Posts
15
How to find the solution 8*x/e^x = 2
With a little bit of algebra I can also write this equation as ln 4*x = x and 4*x = e^x but that doesn't help anything.
I'm wondering wether it is possible to find ... | 5 | [
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Differential
Please help solve this question, Im having difficulty with it. Thanks.
$y_1'= 3y_1+ 4y_2$ $y_2'= -2y_1- y_2$ Differentiate the first equation to get $y_1"= 3y_1'+ 4y_2'$. From the second equation, $y_1"= 3y_1'+ 4(-2y_1- y_2)= 2y_1'- 8y_1- 4y_2$. From the first equation
again, $4y_2= y_1'- 3y_1$ so $y_1"= ... | 5 | [
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... | 5,826 | 5826 | |
Algebra help bad
If anyone can help me with this please do:)
Chapter 10 HIGHLIGHTS NOTE:when I type little# it mean the number next to the whole number
STATE WHETHER THE SENTENCE IS TRUE OR FALSE,REPLACE THE WORD IN PARENTHESIS OR NUMBER TO MAKE A SENTENCE TRUE
1. The number 27 is an example of a (PRIME number).
2... | 4 | [
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RE: [SI-LIST] : Decoupling caps selection
From: Hall, Stephen H (stephen.h.hall@intel.com)
Date: Mon Oct 30 2000 - 10:39:03 PST
Here is a way to estimate the minimum allowable capacitance and the maximum
allowable series inductance (path and lead inductance) when choosing
decoupling capacitors to support high frequen... | 4 | [
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Logic for Computer Scientists/Propositional Logic/Analytic Tableaux
Analytic TableauxEdit
In this section we present a calculus, namely analytic tableau, which is an alternative to resolution. Although this calculus was developed independently from resolution, it will turn out that there
are some interesting common fe... | 5 | [
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Dot Product and Normals to Lines and Planes
The equation of a line in the form ax + by = c can be written as a dot product:
(a,b) ^. (x,y) = c, or A ^. X = c,
where A = (a, b) and X = (x,y).
The equation of a line in the form ax + by ... | 5 | [
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Posts about Algebraic Geometry on Secret Blogging Seminar
Posted by Scott Carnahan in Algebraic Geometry, Number theory.
comments closed
There is a rumor circulating here in Japan, to the effect that S. Mochizuki has proved the ABC conjecture. My understanding is that blogs are for spreading such things.
Apparently, ... | 4 | [
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In-equalitiies
March 25th 2012, 03:01 AM #1
Newbie
Joined
Mar 2012
From
China
Posts
17
In-equalitiies
Friends.
Struggling here.
1/t > t
i can get to (t-1)(t+1) / t > 0 but i dont know if thats right. What do i do?
And
e^t >= e^-t+2
help with both would be great
tah
R... | 4 | [
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What’s wrong with LOESS for palaeo data?
July 24, 2012
By ucfagls
Locally weighted scatterplot smoothing (LOWESS) or local regression (LOESS) is widely used to highlight “signal” in variables from stratigraphic sequences. It is a user-friendly way of fitting a
local model that derives its form from the data themselv... | 5 | [
-0.0213623046875,
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Mark Needham
Archive for May, 2012
I wanted to get a blank version of Google Maps without any of the country names on for a visualisation I’m working on but I’d been led to believe that this wasn’t actually possible.
In actual fact we do have control over whether the labels are shown via the ‘styles’ option which we ... | 5 | [
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Trigonometric Identities cosecA
November 6th 2012, 05:36 PM #1
Junior Member
Joined
Apr 2012
From
Mauritius
Posts
45
Thanks
2
(Extract from Cambridge O-Level Additional Mathematics June 2012 exam paper 1, question 3)
Show that
$cotA+\frac{sinA}{1+cosA}\equiv cosecA$
I can't get ri... | 4 | [
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Re: [SI-LIST] : USB differential lines.
Norm Ebsary (n.ebsary@computer.org)
Wed, 30 Sep 1998 13:52:02 -0400
Fred,
My intent was to respond to Laurent's question of
"From what I have read in the SI-LIST archives
>> >Zdifferential = 2 * Zsingle ended in the case where there is no coupling
>> >between the traces : the... | 4 | [
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Final Examination: Artificial Intelligence
Tuesday December 19. Open book and open notes.
Note: As always, it is important to use good test-taking strategy: First work on the problems that you feel confident about, then tackle the ones you are not sure about. In particular, problem 3.D,
though not actually difficult ... | 5 | [
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Cosmology
One of the important features of the General Theory of Relativity is its application at a "Global" level. The analysis of gravity can be applied to the universe as a whole. The universe can be
assumed to be a relatively homogeneous distribution of matter and energy.
For a distributed mass such as a cloud o... | 4 | [
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Math Help
October 11th 2009, 09:19 AM #1
Newbie
Joined
Oct 2009
Posts
5
Ordinals
Prove that if X is a nonempty set of ordinals, then $\bigcap X$ is an ordinal. Moreover, $\bigcap X$ is the least element of X.
Does anyone have any suggestions?
[Trichotomy of ordinals]
Let $\alpha, \beta, \g... | 5 | [
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Openness in quotient space
March 8th 2009, 03:01 PM #1
Newbie
Joined
Feb 2009
Posts
11
Openness in quotient space
Let X be a topological space. I can prove that the set Homeo(X) of homeomorphisms $f:X \rightarrow X$ becomes a group when endowed with the binary operation of composition.
I can also sh... | 5 | [
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A simple Gibbs sampler
Professor of Stochastic Modelling
School of Mathematics & Statistics
Newcastle University
A simple Gibbs sampler
Let's look at simulating from a bivariate normal with zero mean and unit variance for the marginals, but a correlation of rho between the two components (if... | 5 | [
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Systems of Linear Equations in Two Variables
Home >> Pre-Calculus >> 7. Systems of Equations and Inequalities
>> 7.2. Systems of Linear Equations in Three Variables
7.1. Systems of Linear Equations in Two Variables
In Section P.9 we briefly e... | 4 | [
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# Copyright 2010, 2011, 2012, 2013, 2014 Kevin Ryde # This file is part of Math-PlanePath. # # Math-PlanePath is free software; you can redistribute it and/or modify # it under the terms of the GNU
General Public License as published by the # Free Software Foundation; either version 3, or (at your option) any later # v... | 4 | [
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1. Introduction2. Fuzzy Set Theory2.1. Triangular Fuzzy Number2.2. Linguistic Variable3. Fuzzy-Entropy Weighting Method4. Fuzzy-TOPSIS4.1. Calculate the Aggregate Fuzzy Linguistic Ratings for the Alternatives with Respect to Subjective Criteria4.2. Determine the Weights of all Criteria4.3. Build the Initial Fuzzy Decis... | 5 | [
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Homogeneous Differential Equations.
October 4th 2008, 11:00 AM
Showcase_22
Homogeneous Differential Equations.
$\frac{d^2 x}{dt^2}+4\frac{dx}{dt}+9x=2cos3t$
Is this ordinary, linear differential equation homogeneous? I was thinking about this because 2cos3t can =0 at $\frac {\pi}{2}+n\pi$ so at these points... | 5 | [
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A Novel Scheme for DVL-Aided SINS In-Motion Alignment Using UKF Techniques
Open Access This article is
• freely available
• re-usable
Article
A Novel Scheme for DVL-Aided SINS In-Motion Alignment Using UKF Techniques
^2
School of Surveying and Geospatial Engineering, University of New South Wales, Sydney, NSW ... | 4 | [
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1. Introduction2. The Mathematical Modelling Details2.1. Mass Transfer in Gas Phase2.2. Mass Transfer across Membrane3. Experiment and Model Validation3.1. Numerical Technique3.2. Process Parameters of Interest4. Results and Discussion4.1. Effect of Membrane Length on Process Performance4.2. Effect of Multi-Tube Membra... | 4 | [
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D. J. Bernstein
Fast arithmetic
Multiplication of polynomials over F_2
Minimum number of bit operations
The Gao-Mateer multiplication algorithm
Shuhong Gao and Todd Mateer have introduced a beautiful new multiplication algorithm for binary polynomials, i.e., polynomials over fields of characteristic 2; in particul... | 4 | [
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Recursion Proof
Can anyone help me with this proof? "Show that $f_{n+1}f_{n-1}-f^2_n=(-1)^n$ when $n$ is a positive integer."
Use induction and the recursion formula: $f_0 = 0, \ f_1 = 1, \ f_{n+1} = f_{n} + f_{n-1} \quad \forall n \geq 1$ Let $P_n$ be the statement that $f_{n+1}f_{n-1}-f^{\ 2}_n=(-1)^n$, for all posi... | 5 | [
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-0.0162353515625... | 5,849 | 5849 | |
Items tagged with erro
I am a problem with solve differential equation, please help me: THANKS
g := (y^2-1)^2; I4 := int(g^4, y = -1 .. 1); I5 := 2*(int(g^3*(diff(g, y, y)), y = -1 .. 1)); I6 := int(g^3*(diff(g, y, y, y, y)), y = -1 .. 1); with(Student[Calculus1]); I10 := ApproximateInt(6/(1-f
(x)*g)^2, y = -1 .. 1, m... | 4 | [
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Simple Harmonic Motion Lesson Plans & Worksheets | Lesson Planet
Simple Harmonic Motion Teacher Resources
Find Simple Harmonic Motion educational ideas and activities
Showing 1 - 20 of 52 resources
Students study harmonic motion and its oscillation. In this simple harmonic motion instructional activity students dem... | 4 | [
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0.0947265625... | 5,851 | 5851 | |
Numerical Differentiation. What is the best method?
up vote 4 down vote favorite
4
What is the best method for 1D numeric differentiation? Something as glorious as Gaussian quadrature for numeric integration.
Maybe differential quadrature is such a method? What is its accuracy?
I'm well aware that it is really easy ... | 4 | [
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MathGroup Archive: April 2010 [00447]
[Date Index] [Thread Index] [Author Index]
Two dimensional Splines
• To: mathgroup at smc.vnet.net
• Subject: [mg109121] Two dimensional Splines
• From: zosi <zosi at to.infn.it>
• Date: Mon, 19... | 4 | [
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polar tangents
August 11th 2009, 12:42 AM
s_ingram
polar tangents
Hi guys,
I am struggling with this polar equation problem:
The polar equation of a circle is $r = 4\cos\theta$ and two points $P(4,0)$ and $Q(2\sqrt{2}, \frac{\pi}{4})$ are found where the circle intersects the line $r = 2\sqrt{2}\sec(\f... | 4 | [
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0.013916... | 5,854 | 5854 | |
Price index
A
price index
(
plural
: “price indices” or “price indexes”) is a normalized
average
(typically a
weighted average
) of
prices
for a given class of
goods
or
services
in a given region, during a given interval of time. It is a
statistic
designed to help to compare how these prices, taken as ... | 4 | [
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-0.07861328125,
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0.048... | 5,855 | 5855 | |
A Robust Static Decoupling Algorithm for 3-Axis Force Sensors Based on Coupling Error Model and ε-SVR
Open Access This article is
• freely available
• re-usable
Article
A Robust Static Decoupling Algorithm for 3-Axis Force Sensors Based on Coupling Error Model and ε-SVR
^1
Jiangsu Key Lab of Remote Measurement... | 4 | [
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0.01275634765... | 5,856 | 5856 | |
MathGroup Archive: July 2010 [00050]
[Date Index] [Thread Index] [Author Index]
Re: Absolute value
• To: mathgroup at smc.vnet.net
• Subject: [mg110696] Re: Absolute value
• From: Andrzej Kozlowski <akozlowski at gmail.com>
• Date: ... | 5 | [
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Set Theory
January 13th 2008, 04:07 AM
SengNee
Set Theory
In a certain city, one-seventh of the population who are left-handed are also short-sighted, and two-ninths who are short-sighted are also left-handed.
One twelfth are neither left-handed nor short-sighted.
Given that the number of people who are ... | 4 | [
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... | 5,858 | 5858 | |
Multinomial logit model of occupational choice: a latent variable approach.
INTRODUCTION
Economists and other social scientists have had a long-standing interest in studying the different aspects of an individual's occupational choice. An important issue in this regard is an econometric
analysis of the determinants o... | 4 | [
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... | 5,859 | 5859 | |
Absolute Value
Absolute Value means ...
... only how far a number is from zero:
"6" is 6 away from zero,
and "−6" is also 6 away from ze... | 4 | [
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Recurrence relation problem
October 28th 2012, 01:36 AM
javax
Recurrence relation problem
Hi All. I usually solve recurrence relations but I'm struggling with this one. I need to find the general term.
$A(n)= c n + A(\lfloor n/2 \rfloor)$ for $n > 2,$$A(n) = 1$ for $n = 2$ where $c$-constant
Thanks
Oc... | 4 | [
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on
If you've ever noticed the lights flicker when a large home appliance kicks on, you have some experience with common impedance coupling. Common impedance coupling (also called conducted coupling) may
occur anytime a source circuit and a victim circuit share part of their respective current paths.
Consider the two ... | 5 | [
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Program to Find the Sum of Fibonacci Series in C | C Program
Here’s a C program to find the sum of Fibonacci series with output and proper explanation. The program uses for loop.
What is Fibonacci Series? By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the ... | 4 | [
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Celsius to Fahrenheit revisited - integer averaging considered harmful - Arduino Forum
Just to share some insights I got this morning about converting Celsius to Fahrenheit. As this conversion is used in many applications it might be worth just that extra attention (especially as it
stands model for any measurements).... | 4 | [
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Variation of Parameters
This method is interesting whenever the previous method does not apply (when g(x) is not of the desired form). The general idea is similar to what we did for second order linear equations except
that, in that case, we were dealing with a small system and here we may be dealing with a bigger one ... | 5 | [
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0.011... | 5,865 | 5865 | |
Logic and Proof Equality and Congruence for All! True or False
Quizzes
1. What property of equality would you use to solve for x in the equation 5x = 15? -> Symmetry
2. Which is an example of the symmetric property of equality? -> If A = B and B = C, then A = C
3. Which of these is not a property of equality (and t... | 4 | [
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Triangle line lengths problem
September 15th 2011, 10:46 PM #1
Newbie
Joined
Sep 2011
Posts
17
Triangle line lengths problem
Please can anyone advise on the steps required to determine the lengths of the lines
qs
pr
tr
ts
in the attached diagram
Thanks
Luke
Re: Triangle l... | 4 | [
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locus of tangents
March 7th 2012, 02:40 AM
ayushdadhwal
locus of tangents
RHS show that the tangents at the extremities of any focal chord of a parabola $y^2=4ax$ intersect at right angles at directrix.
My work:
Consider ends of focal chord as P( $at_1^2,2at_1$)and Q( $at_2^2,2at_2$) .
now point of i... | 4 | [
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... | 5,868 | 5868 | |
Testing series for convergence or divergence
April 27th 2010, 08:09 PM #1
Newbie
Joined
Apr 2010
From
Home of country music
Posts
22
Testing series for convergence or divergence
$\sum _{n=1}^{\infty }{\frac {n!}{{e}^{{n}^{2}}}}$
I tried the ratio test, from my figuring, I got that it diverges. H... | 5 | [
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Linear Equations and Inequalities
Introduction:
When we come across real situations like " If the incomes of two persons is in the ratio 3 : 6 and their expenditures are in the ratio 2 : 5, find their income if both of them save
400 dollars.". It is very difficult to slove this by trial and ... | 4 | [
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IntroductionMethodologyExampleDiscussionConclusionsAbbreviations:TableReferences:
101238455 International Journal of Environmental Research and Public Health 1661-7827 1660-4601 Molecular Diversity Preservation International (MDPI) ijerph-05-00394 Articles A Method to Compute
Multiplicity Corrected Confidence Intervals... | 5 | [
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Need help to calculate for height for a cylinder.
March 9th 2010, 06:28 PM #1
Member
Joined
Jan 2009
From
Ontario Canada
Posts
219
Need help to calculate for height for a cylinder.
Need help with home work.
What length of 71 cm in diameter(inside) pipe is required to make a water storage tank wit... | 4 | [
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How Polynomials Behave
A polynomial looks like this:
Continuous and Smooth
There are two main things about the graphs of Polynomials:
The graphs of polynomials are continuous, which is a special term with an exact definition in ... | 4 | [
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-0.0605468... | 5,873 | 5873 | |
Math Help
January 9th 2010, 06:07 AM #1
Member
Joined
Apr 2009
From
california
Posts
121
ratio of area
Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square with two smaller right triangles. The
a... | 4 | [
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GLSL Tutorial
[Previous: Multitexturing] [Next: Normalization Issues]
The GLSL Tutorial is now available in the new layout. Check it out here.
GLSL Tutorial
... | 4 | [
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Feature Column from the AMS
The Mathematics of Rainbows
If you look carefully on the inside of the principal violet arc you will frequently see several pale violet arcs, interspersed with some paler greenish bands. Where do they come from?...
Bill Casselman
University of British Columbia, Vancouver, Canada
cass at ma... | 4 | [
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tra
Harmonic Wavelet For Wavelet transform
22 Jun 2012
Computes the Harmonic wavelet and outputs in the form similar to other wavelets
[out1,out3]=harmonic(LB,UB,N,option)
function [out1,out3]=harmonic(LB,UB,N,option)
%[out1,out3]=harmonic(LB... | 4 | [
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... | 5,877 | 5877 | |
Equation of the tangent to a perpendicular lin
June 17th 2012, 12:56 PM #1
Newbie
Joined
Jun 2012
From
Birmingham
Posts
4
Equation of the tangent to a perpendicular lin
Can someone help me to solve this : Find the equation of the tangent to the curve x^2 -2xy + 2y^2 -7x + 6y + 6 = 0 which is perpendi... | 4 | [
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-0.02294921... | 5,878 | 5878 | |
Prove Z[sqrt(d)] is not a UFD when d=1 mod 4
February 22nd 2010, 03:35 AM #1
Junior Member
Joined
Oct 2009
Posts
36
Prove Z[sqrt(d)] is not a UFD when d=1 mod 4
Let $d \equiv 1 \pmod{4}$ be a square-free integer with $d eq 1$. By considering the factorisation of $d-1$, show that the ring $\mathbb{Z}[\sqr... | 5 | [
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0.035644531... | 5,879 | 5879 | |
Standardizing the measurement of parasite clearance in falciparum malaria: the parasite clearance estimator
Abstract
Background
A significant reduction in parasite clearance rates following artesunate treatment of falciparum malaria, and increased failure rates following artemisinin combination treatments (ACT), sign... | 4 | [
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o
Three or Four in a Row
Euler also considered the possibility of only four points in a line. For example, we might replace \( (4,4) \) with some point \( A \) not on the line \( y=x \). Let's suppose that \( A \) is \(
(1,2) \), for example, and substitute those values into the factored equation from the previous se... | 4 | [
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-0.027221679687... | 5,881 | 5881 | |
Andy's Math/CS page
Monday, September 25, 2006
Thursday, September 21, 2006
Invitation to Inanity
Tired of work, but too lazy to get up? Try this little game:
Take a thin pen with a cap. Uncap it and place pen and cap in the palm of your hand. Now, shut your eyes and recap the pen, without the aid of your other han... | 4 | [
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-0.07275390625,
-0.0419921875,... | 5,882 | 5882 | |
Elementary Decay Process (Kouznetsov)
From Wikisource
^[1]^[2] with corrected misprints and deduction recovered.
Introduction[edit]
The simplest quantum-mechanical model of the interaction of an atom with the electromagnetic field field, which still allows the spontaneous decay, was suggested a century ago ^[3] and ... | 4 | [
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-0.046630859... | 5,883 | 5883 | |
Lies, damn lies and YouTube
There’s been an incredible YouTube video doing the rounds. It shows Nottingham physicist Tony Padilla “proving” that the infinite sum 1 + 2 + 3 + 4 + … results in -1/12. Your Maths Masters were
convinced it was the silliest thing they’d seen all year.
Then came the New York Times article. W... | 4 | [
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-0.044189453125,
0.015136... | 5,884 | 5884 | |
Quantifier Translations
Symbolic Logic
Quantifier Translations
Remember the Aristotelian forms, how to recognize them in English, and what ... | 4 | [
0.078125,
-0.000743865966796875,
0.058349609375,
-0.0712890625,
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0.0986328125,
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0.04052734375,
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0.054443359375,
0.1064453125,
0.06884765625,
-0.05517578125,
0.058105468... | 5,885 | 5885 | |
Positive integers in a binomial relation
Determine all ${m, n}\in\mathbb{N}$ such that $\displaystyle \binom{n+1}{m+1} = \binom{n+1}{m} = \frac{5}{3} \binom{n+1}{m-1}$.
Last edited by Demandeur; September 5th 2010 at 08:39 PM.
We can first get rid of the trivial cases where all are 0; ie, m-1 > n+1. Then I believe th... | 4 | [
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0.059814453125,
0.0... | 5,886 | 5886 | |
Joachim Behar
ECG and Wiener filter
Last updated
: 09/02/2012
1) Introduction
    In this tutorial you will learn about non-causal frequency-domain Wiener filtering for its application to ECG. The Wiener filter is
optimal in the minimum mean square error (MMSE) sense
for
stationary signals
. It can be a... | 4 | [
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0.0751953125,
... | 5,887 | 5887 | |
Is it just me, or evaluating integrals is not the easist thing to do? Please help!
December 4th 2012, 02:25 AM #1
Junior Member
Joined
Oct 2012
From
United States
Posts
44
This is my first time evaluating integrals on my own and, unfortunately, I just can't seem to get it. As easy as they may seem, in... | 5 | [
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0.0... | 5,888 | 5888 | |
Inverse functions.
July 12th 2010, 02:41 PM #1
Newbie
Joined
Jul 2010
Posts
3
I face another problem childish but still a problem
Find the inverse functions of
a) x ---> 2x+3
b)x---> 3x-4
c) x---> 2(x+5)
d) x----> 1 (x-1)
Last edited by mr fantastic; July 13th 2010 at 05:19 AM. ... | 4 | [
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-0.040039062... | 5,889 | 5889 | |
How can you prove this?
January 6th 2010, 08:19 AM #1
Junior Member
Joined
Jan 2009
Posts
44
How can you prove this?
$\sum_{n=1}^{{\color{red}\infty}}r^n$
I'm assuming this is the correct way to write;
$r+r^2+r^3+r^4 . . . r^n$ where the n goes on for infinity.
So how can you prove;
... | 5 | [
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... | 5,890 | 5890 | |
IntroductionSensor Location Criteria for Fault DetectionDetectability and IdentifiabilityDefinition 1Definition 2Theorem 1ProofDefinition 3Reliability with Respect to Sensor False Alarms and Missed AlarmsReachability Information Derived from DiagraphsAlgorithmsCase StudyConclusionsReferences and NotesNomenclatureFigure... | 4 | [
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0.015625,
0.00068... | 5,891 | 5891 | |
partial derivatives: Find an equation for the plane
November 7th 2010, 04:49 AM #1
Junior Member
Joined
Oct 2009
Posts
72
partial derivatives: Find an equation for the plane
Find an equation for the plane tangent to the graph of z = 6 cos(xy) at the point (2, π/6, 3).
i went on to find
partial d... | 5 | [
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-0.1572265625,
-0.038330078... | 5,892 | 5892 | |
Quadrilateral form a Parallelogram |Geometrical Properties|Cartesian Co-ordinate
Quadrilateral form a Parallelogram
Statement of the Theorem: Prove that the lines joining the middle points of the adjacent sides of a quadrilateral form a parallelogram.
Proof: Let ABCD be a quadrilateral and length of its side AB i... | 4 | [
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0.02233886... | 5,893 | 5893 | |
[SOLVED] Hard Orthogonal Complement Proof
April 1st 2010, 08:49 AM #1
Junior Member
Joined
Feb 2010
Posts
45
[SOLVED] Hard Orthogonal Complement Proof
At least, I think it is hard. I don't know how to start this at all.
Let $V$ be a vector space equipped with a positive definite inner product. Let $... | 4 | [
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0.0067443847656... | 5,894 | 5894 | |
Where have I gone wrong here? (Area enclosed by polar coords)
May 29th 2009, 04:37 AM #1
Member
Joined
Nov 2008
Posts
114
Where have I gone wrong here? (Area enclosed by polar coords)
Hi guys,
I'm asked to show that the area enclosed by the curve
$r=2(1-\sin\theta)\sqrt{\cos\theta}$
where
... | 5 | [
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solve dot(x,y)<=z for x
"Oriole " <oriole_ni@hotmail.com> wrote in message <gl29b9$6tb$1@fred.mathworks.com>...
> Hello, Happy new year.
>
> I would appreciate your advice...
>
> Problem: solve dot(x,y)<=z for x, list all solutions
>
> Input (knowns): z: a positive real number (scalar)
> y: a n-d vector of positive nu... | 5 | [
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-... | 5,896 | 5896 | |
Permutation Puzzles
Consider five women, Anne, Betsy, Corrine, Donna, and Emily, who live
(not necessarily respectively) in the cities Anaheim, Baltimore,
Cleveland, Denver, and Enumclaw. Each woman has exactly one son, and
their names are Andy, Bob, Chuck, Dave, and Edward (again, not
necessarily in that order). Th... | 5 | [
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0.02... | 5,897 | 5897 | |
Finding Perpendicular Bisector
November 11th 2006, 10:27 AM
adam182
Finding Perpendicular Bisector
Question: Find the perpendicular bisector of the line segment with endpoints (5,2) and (-3,6).
I don't remember the procedure to do this.
November 11th 2006, 10:50 AM
topsquark
Quote:
There is mor... | 4 | [
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... | 5,898 | 5898 | |
Need help solving a cubic function for a, b, c, and d
August 25th 2008, 09:32 PM #1
Newbie
Joined
Aug 2008
Posts
3
Need help solving a cubic function for a, b, c, and d
I need to solve for a, b, c, and d for a cubic equation with points (2,24), (-2,0), (0,0), and (3,0). I plugged them into the equation g... | 4 | [
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0.0065612... | 5,899 | 5899 |