content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Adding and Subtracting Rational Expressions
Adding and Subtracting Rational Expressions:
Introduction (page 1 of 3)
Addition and subtraction are the hardest things you'll be doing with rational expressions because, just like with regular fractions, you'll have to convert to common denominators. Everything you
hated ab... | 4 | [
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0.140625,
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The Geometry of Special Relativity
A student learning special relativity for the first time must contend not only with counter-intuitive concepts such as time dilation and length contraction but also with fairly cumbersome equations
such as the Lorentz equations
x’ = γ (x – vt)
t’ = γ (t – (v/c^2)x)
(where γ = 1/√(1... | 4 | [
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-0.... | 5,701 | 5701 | |
Algebra 2 Gravity Word Problems
When you throw something into the air,
it goes up (probably).
As soon as it leaves your hand, gravity starts slowing it down.
At some point it stops going up and starts coming back down.
This equation tells us how high IN FEET the thing is in the air
at some time after it is throw... | 4 | [
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0.125,
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0.047119140625,
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0.03955078125,
-0.11... | 5,702 | 5702 | |
Lotteries
\(\newcommand{\P}{\mathbb{P}}\) \(\newcommand{\E}{\mathbb{E}}\) \(\newcommand{\R}{\mathbb{R}}\) \(\newcommand{\N}{\mathbb{N}}\) \(\newcommand{\bs}{\boldsymbol}\) \(\newcommand{\var}{\text{var}}\) \(\
newcommand{\sd}{\text{sd}}\)
“You realize the odds of winning [the lottery] are the same as being mauled by a... | 5 | [
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-0.05... | 5,703 | 5703 | |
Mandelbrot Math
The Formula
The formula is z[k+1]=z[k]^2+c where the z[k] and c are complex numbers. Written for real numbers this formula yields the two terms
x[k+1]=x[k]^2-y[k]^2+c[x]
... | 4 | [
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Subgroup of order 4
March 20th 2013, 10:57 PM #1
Member
Joined
Jul 2009
Posts
111
Thanks
1
I just wanna know if the following proof is okay for my assignment problem.
Question: Prove that an abelian group with 2 elements of order 2, must have a subgroup of order 4.
Proof: Let a,b belong to G... | 5 | [
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... | 5,705 | 5705 | |
Difficult Trigo Problems
September 9th 2009, 03:33 AM #1
Junior Member
Joined
Aug 2009
Posts
62
Difficult Trigo Problems
Hello people,
Please help me with the following problems. I was unable to solve any of them.
1) If $Cos(a) + Cos(b) + Cos(c) = Sin(a) + Sin(b) + Sin(c) = 0$,
then the valu... | 4 | [
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0.010... | 5,706 | 5706 | |
imaginary numbers help!!!
February 24th 2009, 05:01 PM #1
Newbie
Joined
Feb 2009
Posts
2
imaginary numbers help!!!
i can't seem to answer these because i can't understand it..please help..
Simplify the expression i2000049
a. -1 b. –i c. i d1/i
The simplify ( -i + 2)2..
a. 3 – 4i b 4 -3... | 4 | [
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Mac
By Jörg Langowski, Chemical Engineer, Grenoble, France, MacTutor Editorial Board
After last month's refresher on accessing floating point routines from Forth, this column is now going to show you the main part of the curve fitter program.
Let's state our objective again: We have a series of data points (measureme... | 4 | [
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IntroductionProtocol SpecificationPacket CycleBacklog Counting AlgorithmBacklog ConsistencyNetwork ModelSaturation Network StatusNetwork ModelNetwork SegmentBacklog as the Global Measure of ChannelThe Number of Outgoing TransactionsCPU Processing Power vs. Channel Bit RateCollision DetectionMean Access Delay Evaluation... | 4 | [
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Covent Garden Problem Puzzle - Solution
The Puzzle:
Here is a puzzle known as the Covent Garden Problem, which appeared in London half a century ago, accompanied by the somewhat surprising assertion that it had mystified the best mathematicians of
England:
Mrs. Smith and Mrs. Jones had equal number of apples but Mrs... | 4 | [
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A Decade of the Berkeley Math Circle: The American Experience, Volume I
To combine the quotes from the authors’ Introduction and the Foreword by Robert L. Bryant, Director of the Mathematical Science Research Institute (MSRI),
Math circles are weekly math programs that attract middle and high school students to ma... | 5 | [
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PID Controller
Cuthbert Nyack The control system is represented by the following diagram. G[1](s) is the transfer function of the controller and G[2](s) is the transfer function of the system.
Consider first the case with a PD ... | 4 | [
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problem involving norm
November 18th 2009, 05:02 PM
dannyboycurtis
problem involving norm
I need a little confirmation on this one, it seemed a bit too easy for me, which makes me think I assumed too much:
Let T be a linear operator on an inner product space V, suppose ||T(x)||=||x|| for all x in V. Prove T ... | 4 | [
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MathGroup Archive: March 2004 [00396]
[Date Index] [Thread Index] [Author Index]
Re: Infrequent Mathematica User
• To: mathgroup at smc.vnet.net
• Subject: [mg47090] Re: Infrequent Mathematica User
• From: Paul Abbott <paul at physics... | 5 | [
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-0.044677734375,... | 5,714 | 5714 | |
Project Euler 45: After 40755, what is the next triangle number that is also pentagonal and hexagonal? | MathBlog
Project Euler 45: After 40755, what is the next triangle number that is also pentagonal and hexagonal?
Written by Kristian on 28 May 2011
Topics: Project Euler
Problem 45 of Project Euler reads
Tria... | 5 | [
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Finding the length of a line
Finding the Length of a Line
Algebra: Lines Help
The easiest way to show you how to do this is by working out an example.
Example: Find the distance between (-2,8) and (-7,-5).
This is not rocket science.
Step 1: Find the distance between the x-coordinates. We do that by subtracting o... | 4 | [
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-0.016... | 5,716 | 5716 | |
Example 2.3.12: Sum of Squares and Cubes
Prove the following statements via induction:
1. The sum of the first n numbers is equal to
2. The sum of the first n square numbers is equal to
3. The sum of the first n cubic numbers is equal to
1.
We actually have already proved this statement in
example 2.3.4
, but ... | 4 | [
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Showing a solution for system of equations
March 30th 2008, 03:59 PM
pakman
Showing a solution for system of equations
I'm stuck on how to begin this problem...
Let (c1, c2) be a solution to the 2x2 system
A11X1 + A12X2 = 0
A21X1 + A22X2 = 0
Show that for any real number alpha (a) the ordered ... | 4 | [
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0.... | 5,718 | 5718 | |
s Inventory Theorem
Pólya’s Inventory Theorem
You may have guessed we can do more, otherwise we would have simply written $x$ instead of each $x_i$ in the cycle index polynomial!
We can now easily solve our original problem, so let’s make it harder. How many 10-bead necklaces can you make out of 2 red beads, 3 green ... | 5 | [
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0.047607421875,... | 5,719 | 5719 | |
Analysis of Spatial Disparities and Driving Factors of Energy Consumption Change in China Based on Spatial Statistics
Open Access This article is
• freely available
• re-usable
Article
Analysis of Spatial Disparities and Driving Factors of Energy Consumption Change in China Based on Spatial Statistics
^2
Schoo... | 4 | [
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... | 5,720 | 5720 | |
Math Help
January 26th 2010, 01:22 PM #1
Member
Joined
Jan 2008
Posts
173
ratio
The cost of 3 dings is the same as the cost of 5 bings, and 8 bings cost five times
as much as 7 lings. What is the ratio of the cost of a ling to the cost of a ding?
Express your answer as a common fraction.
x=... | 4 | [
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-0.01696777343... | 5,721 | 5721 | |
fractions and equations
September 4th 2012, 10:56 AM
akelegna
fractions and equations
4/X+3=2/3
how can i solve this. i want to understand what i'm going to do when it's fractions on both sides.
2X/5=X+4/3
September 4th 2012, 11:52 AM
earboth
Re: fractions and equations
Quote:
Unfortunatel... | 4 | [
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Math Forum Discussions - New Ellipse circumference formula, using agm
Date: Dec 22, 2012 2:17 AM
Author: thomasinventions@yahoo.com
Subject: New Ellipse circumference formula, using agm
And this bypasses the elliptic integral of the first kind:
C = C = 2*pi*(1-e)[(agm(1,(1-e)/(1+e))-e*(1+e)*(d/dx)[agm(1,(1-x)/(1+x))]... | 4 | [
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Examples 1.4.3(b):
Let A be the set N x N and define an equivalence relation r on N x N and addition of the equivalence classes as follows:
1. (a,b) is related to (a’,b’) if a + b’ = a’ + b
2. [(a,b)] + [(a',b')] = [(a + a', b + b')]
3. [(a,b)] * [(a’, b’)] = [(a * b’ + b * a’, a * a’ + b * b’)]
Below are some ex... | 4 | [
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Stats help (combinations/ order prb)
November 5th 2007, 09:25 AM #1
Kradano
Guest
Stats help (combinations/ order prb)
Due in 3 hours….. (1pm mt time)
I have played with these for an hr and i have completed all homework except thiese 2 problems please help.....
Question 1 (complete all 3 parts)
From ... | 4 | [
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Finding a basis for an orthogonal
May 18th 2008, 06:01 PM
pakman
Finding a basis for an orthogonal
Let $S$ be the subspace of $R^{4}$ spanned by $x_1=(1, 0, -2, 1)^{T}$ and $x_2=(0, 1, 3, -2)^{T}$. Find a basis for $S^{\bot}$.
I was thinking about multiplying the vectors by a set of vectors $[x_1,x_2,x_3,x_... | 5 | [
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complex number
Given that $z=x+yi$ and $w=\frac{z+8i}{z-6}$, where z is not 6 . If w is totally imaginary , show that $x^2+y^2+2x-48=0$
Hello again mathaddict.Are you sure you have copied down the question correctly? I think the expression should be $w=\frac{z+8}{z-6}$. You then: Replace $z$ by $x+iy$ in the top and b... | 5 | [
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-0.02258... | 5,727 | 5727 | |
sophie germain prime primitive root
April 23rd 2010, 07:00 PM #1
Junior Member
Joined
Oct 2009
Posts
37
sophie germain prime primitive root
Here p denotes a prime.
Suppose q is a prime such that q=4n+1 where n is an interger.
proof that 2 is a primitive root of p if p is of the form 2q+1.
(so... | 5 | [
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scipy.signal.lfilter_zi
Compute an initial state zi for the lfilter function that corresponds to the steady state of the step response.
A typical use of this function is to set the initial state so that the output of the filter starts at the same value as the first element of the signal to be filtered.
Pa... | 5 | [
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... | 5,729 | 5729 | |
How to Calculate the Base Current
How to Calculate the Base Current, IB, of a Transistor
The base current, IB, of a transistor is a crucial current of a bipolar junction transistor. Without this base current, the transistor can't turn on.
There are several ways to find the base current, IB, of a transistor. And it al... | 4 | [
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Problem Set 1.3
1. Which part of the following statement requires the use of the Parallel Postulate and which does not?
Two lines cut by a transversal are parallel if and only if a pair of corresponding angles is congruent.
Solution:
It may be useful to be explicit about the "parts" o... | 4 | [
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he
Shears and one directional scaling
As a general matter, any 2 by 2 matrix can be used to define a transformation, and every such transformation can be understood geometrically. There are two specific examples that we shall use. The
first has a matrix in one of two forms,
These transformations scale a figure horizo... | 4 | [
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Solving 2 equations with 1 variable
July 10th 2012, 01:37 PM #1
Member
Joined
Sep 2009
Posts
104
Thanks
1
Solving 2 equations with 1 variable
I'm having trouble with this. i know it's simple, but I'm honestly blanking out on how to do this:
2 equations:
X = 12L - 0.75L^2
A = 24L - 2.25L... | 4 | [
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0.0556640625,
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-0.0074768066406... | 5,733 | 5733 | |
July
Tuesday, July 31st, 2007
The relationship of the VIX to the S&P 500 is an interesting one, one that I have studied for the past nine years. Over that time, I have used the relationships to:
● Design investment strategies for insurance companies selling Equity Indexed Annuities.
● Estimate the betas of commo... | 4 | [
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0.... | 5,734 | 5734 | |
The Rate Of Climbing Uphill Explained
I've noticed that some cyclists who have been introduced to the concept of the rate of climbing uphill falsely think that Michele Ferrari pulled this out of his own pocket, as in, he invented it or
something of that nature. Negative. He only went ahead and popularized the idea, put... | 5 | [
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Testing For Prime Numbers
This page describes how to use a formula to test if a number if a Prime number or a Prime Twin.
Prime numbers do not have much application in most real world computing, especially the sort done in Excel. However, prime numbers have been a source of fascination to mathematicians since the
ear... | 4 | [
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Integrate sqrt(1-x^2)
January 9th 2013, 03:16 PM #1
Member
Joined
Sep 2012
From
U.K.
Posts
88
Integrate sqrt(1-x^2)
I need to integrate sqrt(1-(x^2))
I know that the reciprical of this integrates to arcsin(x) + k but I don't know how I can relate this.
Any help would be much appreciated
R... | 4 | [
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Commentary on two papers by O.E. Roessler on black holes
Gerhard W. Bruhn, Darmstadt University of Technology
... | 4 | [
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Phi function help
July 27th 2008, 08:40 PM #1
Member
Joined
Jul 2008
Posts
78
Phi function help
The Euler Phi function
Prove that if n is odd, then
Here's my attempt to prove the first part, if n is odd,
Let the prime decomposition of n be
So,
But it seems like this would work ... | 5 | [
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Factoring
September 4th 2007, 03:25 PM #1
Factoring
Basically what I need is an explenation and the steps to solve two different types of factoring problems.
I could care less about the answer, I have it in the back of the sheet anyway.
1. x^3 - 6x^2 + 11x - 6 = 0
2. 4(x^3/2)(y^2/3) + 18(x^1/2)(y^... | 4 | [
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0.05639... | 5,740 | 5740 | |
Items tagged with polynomial
restart;
with(combinat):
symMonomial := proc(test)
h := 0;
for i from 1 to nops(test) do
h[i] := choose(test,i);
od;
c := copy(test);
k := 0;
for k from 1 to nops(test) do
c[k] := 0;
for i from 1 to nops(h[k]) do
ki := 1;
for j from 1 to nops(h[k][i]) do
ki := ki*h[k][i,j];
o... | 4 | [
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0.0... | 5,741 | 5741 | |
Imaginary numbers
March 5th 2010, 11:12 PM #1
Member
Joined
Dec 2009
Posts
224
Imaginary numbers
In the following, I don't understand how the expression on the LHS equals to the one on the RHS:
$Im \left( \frac{(-e^{\pi}-1)(1-i)}{(1+i)(1-i)} \right) =\frac{e^{\pi}+1}{2}$
("Im" means "imaginary"... | 5 | [
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Assessment and Implication of Prognostic Imbalance in Randomized Controlled Trials with a Binary Outcome – A Simulation Study
Abstract
Background
Chance imbalance in baseline prognosis of a randomized controlled trial can lead to over or underestimation of treatment effects, particularly in trials with small sample s... | 4 | [
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Look to System Reliability When Selecting Bearing Protection - Maintenance Technology
Fewer things to fail translate into fewer failures.
Over the last 30 years, bearing protection has emerged as prime territory for increasing overall rotating equipment reliability. With metallurgy, tribology and bearing design having... | 5 | [
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Machined Learnings
I was able to create additional efficiencies in
Vowpal Wabbit's LDA implementation
via
vectorization
. The basic idea is to find loops of repeated expensive operations and arrange via
SIMD
for multiple expensive operations to be performed simultaneously. In particular I'm leveraging the
SSE
i... | 4 | [
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... | 5,745 | 5745 | |
Items tagged with academic
Hi,
according to my previous question
http://www.mapleprimes.com/questions/201435-ODE-With-Constraint
I wrote the following code. at first, the code solve the equation for f and when it slves that, I want to solve Theta in such a way that use the values of f in previous calculation. I use ... | 4 | [
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0.01... | 5,746 | 5746 | |
MaplePrimes
i googled nullspace from ReducedRowEchelonForm
but when calculate it, ReducedRowEchelonForm do not contain the eigenvector in nullspace
how to calculate nullspace by hand?
i find that in maple 12 and maple 15 null space are different , however the common thing is that they are different from eigenvector ... | 4 | [
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Denumerable Partition
May 19th 2009, 04:42 AM
armeros
Denumerable Partition
Suppose $A$ is denumerable. Prove that there is a partiion $P$ of $A$ such that $P$ is denumerable and for every $X \in P, X$ is denumerable.
...
Note that for any partition $P$, it is not necessarily denumerable, and it is not... | 5 | [
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Diagonalizing 2x2 matrices
June 21st 2010, 06:17 PM #1
Junior Member
Joined
Sep 2007
Posts
56
Diagonalizing 2x2 matrices
Diagonalize the following matrix:
$<br /> \begin{bmatrix}<br /> 2 & 3 \\<br /> 4 &1 \\ <br /> \end{bmatrix}<br />$
I don't know if I made an algebraic mistake or if the matri... | 5 | [
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-0.02160644... | 5,749 | 5749 | |
1. Introduction2. Related Work3. Network Model4. The Proposed Algorithm (DPAI)4.1. Detour Path Angular Information Based Localization4.2. Analysis of Algorithm Complexity5. Simulation Results and Performance Analysis5.1. Localization Error When Varying the Number of Anchors5.2. Localization Error When Varying the Senso... | 4 | [
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0.006683349609375... | 5,750 | 5750 | |
2.1.4 Mixed Point
Now you may be tempted to write this down in a first reaction equation as follows
While this is not necessarily wrong, it is at least strange: You create, in a kind of chemical reaction, something from nothing - what keeps you from applying this equation to vacuum, which is
surely not sensible? ... | 4 | [
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Homogeneous equations
February 9th 2010, 10:00 PM
nahduma
Homogeneous equations
If the system of 3 equations
ax+b+z=0
x+by+z=0
x+y+cz=0
has a non-trivial solution, then 1/(1-a) + 1/(1-b) + 1/(1-c) = ?
The choices are 1, 2, 0 or -1
It seems obvious to me that if a=b=c=1, the system redu... | 5 | [
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A Very simple equation
March 6th 2006, 10:31 PM
rabindraadhi
A Very simple equation
Hi, here is a small equation, Please solve for 2 values of x
Equation is: Tan(x) = x
Let's see who will solve for 2 correct values of x
March 7th 2006, 03:56 AM
CaptainBlack
Quote:
Originally Posted by rabin... | 5 | [
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If there exists a non zero term independent of x in the expansion of ..., then n...?
February 13th 2009, 08:36 PM #1
If there exists a non zero term independent of x in the expansion of ..., then n...?
If there exists a non zero term independent of x in the expansion of [ x^2 - ((2)/(x)^3)]^n , then n can't be:
... | 5 | [
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-0.... | 5,754 | 5754 | |
inverse function for arcsin
November 9th 2006, 04:25 PM #1
Junior Member
Joined
Nov 2006
Posts
62
inverse function for arcsin
I have a webworks problem that I am not doing correctly. here it is
f(x)=arcsin(x/7)+10
This is what I did. Y=arcsin(x/7)+10
X=arcsin(y/7)+10
x-10=arcsin(y/7)
... | 4 | [
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-0.0... | 5,755 | 5755 | |
Gergonne triangle (fancy name from da wiki :D)
Moderator
Registered: 2010-06-20
Posts: 6,092
Re: Gergonne triangle (fancy name from da wiki :D)
Member
Registered: 2014-01-10
Posts: 62
Gergonne triangle (fancy name from da wiki :D)
Let the incircle of triangle ABC be tangent to sides
and at ... | 4 | [
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Proving and then solving eqns
June 5th 2009, 12:28 AM
helloying
Proving and then solving eqns
my question asked me to prove that $\cos 3\theta= 4\cos^3\theta - 3\cos\theta$
i proved already and then the next part asked me to substitute $x=6\cos\theta$ to find the roots of the eqn $x^3 - 27x + 8=0$
i do... | 4 | [
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Thermal-FluidsPedia
Similarity solutions
From Thermal-FluidsPedia
The form of the velocity, temperature, and concentration profiles for flow over a flat plate are presented in the figure to the right, and are based on qualitative measurements. These presentations
indicate the possibility that these profiles are geome... | 5 | [
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Design a Crystal Oscillator to Match Your Application
Design a Crystal Oscillator to Match Your Application
By: Theron Jones, Principal Member of the Technical Staff
© Sep 18, 2012, Maxim Integrated Products, Inc.
Abstract: Quartz crystals are mechanical resonators with piezoelectric properties. The piezoelectric pr... | 4 | [
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GNU Octave - An Introduction
This is the first of a series of articles in which I will introduce GNU Octave and demonstrate some of its many features. GNU Octave is a high-level language for numerical computations. I use it
every day in my PhD research which involves manipulating large vectors and matrices. It is very... | 5 | [
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limits of horizontal asymptotes
How do you figure out the: lim X-> OO (x-3)^8 (2-X)^3/ (X-5)^5 (4-X)
You could divide all of the terms in the expression by the highest term in the denominator. The highest term in the denominator would be $x^6$, and the highest term in the numerator would be $x^{11}
$. This way you can... | 5 | [
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GLSL Core Tutorial - Directional Lights per Vertex I
GLSL Core Tutorial – Directional Lights per Vertex I
Prev: Lighting Next: Dir Lights per Vertex II
To compute the intensity of the reflected light, assuming a Lambertian diffuse reflection model, we compute the cosine between the vector pointing towards the ligh... | 4 | [
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Diffie-Hellman key exchange
From CryptoDox, The Online Encyclopedia on Cryptography and Information Security
Diffie-Hellman (D-H) key exchange is a cryptographic protocol that allows two parties that have no prior knowledge of each other to jointly establish a shared secret key over an insecure
communications cha... | 4 | [
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Weise
Principle of Minimax and Rise Phyllotaxis
(Mechanistic Phyllotaxis Model)
... | 4 | [
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trigo identities
July 16th 2007, 04:21 AM #1
Newbie
Joined
Jun 2007
From
Boston
Posts
10
trigo identities
solve the eqns for 0<=x<=180
1. sin3x+sinx=0
(i don't get my friend's working):
2 sin2xcosx=0
2(2sinxcosx)(cosx)=0
(4sinxcosx)(cosx)=0
4 sinx=0
sinx=0
x= 0, 180
... | 4 | [
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Numerical Analysis
Preface xi
Chapter 1. Numerical Algorithms 1
1.1 Finding roots 2
1.2 Analyzing Heron's algorithm 5
1.3 Where to start 6
1.4 An unstable algorithm 8
1.5 General roots: effects of floating-point 9
1.6 Exercises 11
1.7 Solutions 13
Chapter 2. Nonlinear Equations 15
2.1 Fixed-point iteration 16
2.2 Part... | 5 | [
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Calculus 1 Questions
July 29th 2006, 11:25 AM #1
Newbie
Joined
Jul 2006
Posts
5
Calculus 1 Questions
1. Let a and b be differentiable.
x^2 x<1
ax+b x> or =1
2. Prove lim as x approaches 3
x^2+x=8
3. A square plot is made at points A,B,C, and D (clockwise). The sides of the squar... | 5 | [
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Maximum CPU temperature determination using newtons' Law of cooling! Please help and give detailed information!!
This is for my maths assignment someone please help!!! I'm not experienced in this so any assistance will be appreciated and rewarded. Thanks in advance.
PROBLEM:
Home Comforts Ltd is a company which make... | 4 | [
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The Fleet Type Submarine - Chapter 19
19
COMPENSATION
... | 5 | [
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Improvement of the Stokesian Dynamics method for systems with finite number of particles
Ichiki, Kengo (2002) Improvement of the Stokesian Dynamics method for systems with finite number of particles. Journal of Fluid Mechanics, 452 . pp. 231-262. ISSN 0022-1120
PDF
Restricted to UT campus only: Request a copy
1... | 4 | [
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Learn How to Solve Exponential Decay Functions
Solutions from this worksheet/article.
Exponential functions tell the stories of explosive change. The two types of exponential functions are exponential growth and exponential decay. Four variables - percent change, time, the amount at
the beginning of the time period, ... | 4 | [
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Complex Numbers - Modulus
December 16th 2007, 04:03 AM
haku
Complex Numbers - Modulus
My question is: Find the modulus of ((15i)^4)/((-5-10i)^6)
For this would the top line just be 15^4 = 50625.
The bottom line: root 125 then to the power 6.
Please help. Thanks
December 16th 2007, 04:29 AM
bobak... | 4 | [
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simple substitution problem
December 8th 2009, 02:19 PM #1
MHF Contributor
simple substitution problem
my link works kust press it
maybe you have a popup blocker
i used this property
$\frac{\partial}{\partial t}[ X(x)T(t) ] = X(x)[\frac{\partial}{\partial t}T(t)]$ because X(x) won't vary with t
... | 5 | [
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Chaos theory: bifurcation diagram
March 9th 2010, 01:13 PM #1
Junior Member
Joined
Oct 2008
Posts
54
Chaos theory: bifurcation diagram
Hi, I have this problem.
I need to sketch a bifurcation diagram for the fixed points of the family $\mu \rightarrow f_\mu$ where $f_\mu= \mu x^2(1-x)$.
I have t... | 5 | [
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Approximate Construction of Regular Polygons: Two Renaissance Artists - Albrecht Durer
Albrecht Dürer (1471-1528), considered the father of modern German painting, was also a great mathematical amateur. He wrote a book titled Unterweysung der Messung..., which deals with all sorts of
geometrical problems. In this book ... | 4 | [
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Price modelling - Simultaneous Linear Equations.
August 25th 2010, 12:00 AM #1
Member
Joined
Sep 2009
Posts
87
Price modelling - Simultaneous Linear Equations.
I decided to put my new algebra skills into practice recently. But it didn't work!
I obtained a price list the other day for some products w... | 4 | [
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Intracellular Demography and the Dynamics of Salmonella enterica Infections
Abstract
An understanding of within-host dynamics of pathogen interactions with eukaryotic cells can shape the development of effective preventive measures and drug regimes. Such investigations have been
hampered by the difficulty of identifyi... | 4 | [
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Multivariate normal random vectors with fixed mean and covariance matrix - File Exchange - MATLAB Central
Description
MVNRND2 Random vectors from the multivariate normal distribution.
R = MVNRND2(MU,SIGMA,NUM) returns a NUM-by-D matrix R of multivariate normal random vectors whose mean and covariance matrix match the... | 5 | [
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Worksheet on Line-Segment Joining the Points|Different Types of Questions|Answer
Worksheet on Line-Segment Joining the Points
In math worksheet on line-segment joining the points, we will solve different types of questions.
Recall the formula for the distance between two given points:
(x[1], y[1]) and (x[2], y[... | 4 | [
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Mean, Median, Mode
Math Practice Online > free > lessons > Florida > 6th grade > Mean, Median, Mode
If your child needs math practice, click here.
These sample problems below for Mean, Median, Mode were generated by the MathScore.com engine.
Sample Problems For Mean, Median, Mode
Complexity=1, Mode=simple
Find ... | 4 | [
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-0.043212890625,
-0.02124... | 5,780 | 5780 | |
Need derivative of y = cos (x^sqrt(x))
August 3rd 2009, 04:22 PM #1
Newbie
Joined
Aug 2009
Posts
11
Need derivative of y = cos (x^sqrt(x))
I'm trying do it using log differentiation but I'm not really sure how to use log rules to bring down the sqrt (x) . Can I do ln y = sqrt(x) ln cos x ? It seems like ... | 5 | [
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-0.012268066406... | 5,781 | 5781 | |
Unsure of how to solve this right triangle
January 22nd 2013, 10:55 AM #2
January 22nd 2013, 10:52 AM #1
Newbie
Unsure of how to solve this right triangle
Re: Unsure of how to solve this right triangle
Re: Unsure of how to solve this right triangle
yeah, but what do with 3x+6x+9=29?I am not sure how to solve t... | 4 | [
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1. Introduction2. Experimental Section2.1. In Vitro Experiment2.1.1. Sublethal Repair Halftime Study2.1.2. Doubling Time Study2.2. Linear-Quadratic Model2.3. BED, EUD and TCP Models2.4. The Fitting Method3. Results3.1. Repair Halftime Tr and Doubling Time Td of HNC3.2. Ratio of α/β for HNC3.3. Potential Doubling Time T... | 4 | [
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Descartes' Rule of Signs Help
January 17th 2008, 09:20 AM
badandy328
Descartes' Rule of Signs Help
I need help figuring out this problem:
Use Descartes' Rule of Signs to analyze the number of positive and negative real roots and the number of non-real roots of the function:
http://hosted.webwork.rochest... | 4 | [
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Equation Factoring Calculator
Simplifying
y^2 + -10y + 21 = 0
Reorder the terms:
21 + -10y + y^2 = 0
Solving
21 + -10y + y^2 = 0
Solving for variable 'y'.
Factor a trinomial.
(3 + -1y)(7 + -1y) = 0
Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve:
Simplifying
3 + -1y = 0
Solving
3 + -1y... | 4 | [
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Capacitance
Electromagnetism
Electricity · Magnetism
Magnetostatics
· Ampère’s law · Electric current · Magnetic field · Magnetic flux · Biot–Savart law · Magnetic dipole moment · Gauss’s law for magnetism ·
... | 4 | [
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Electron in a Box
March 7th 2008, 04:48 PM
DiscreteW
Electron in a Box
Given an electron is contained in a box which has length $20nm$ (from $x=0$ to $x=20nm$):
1.) Write what $\hat{H}$ is for the electron.
2.) Find $\hat{H}$ 's eigenfunctions and eigenvalues. Then, determine what the general solution ... | 5 | [
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1. Introduction2. Environment and System Model3. The HCTNav Algorithm3.1. Obstacle Detection3.2. Choosing the Next Turning-Point3.3. Surrounding Current Obstacle3.4. Building the Final Path4. Experimental Section4.1. Test-Bench4.1.1. Algorithms Implementation4.2. Simulation Results4.2.1. Dynamic Memory Usage4.2.2. Scal... | 4 | [
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m
Member Search
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Discuss this article
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Math Help
July 5th 2007, 05:00 PM #1
Member
Joined
Nov 2005
Posts
172
series tests
Select the FIRST correct reason on the list why the given series converges.
a) Geometric series.
b) Comparison with a convergent p series.
c) Integral test.
d) Ratio test.
e) Alternating series test.
... | 5 | [
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... | 5,790 | 5790 | |
M Theory Lesson 131
M Theory Lesson 131
Speaking of the
j invariant
, recall that
$J(q) = j(q) - 744$
where $744 = 248 \times 3$, so in terms of the
modular forms
$\theta_0$ and $\theta_1$,
$J(q) = -3 [9 \frac{(\theta_{0}^{4} + 8 \theta_{0} \theta_{1}^{3})^{3}}{(\theta_{1}^{4} - \theta_{0}^{3} \theta_{1})^{3}}... | 4 | [
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0.08447265625,
-0.... | 5,791 | 5791 | |
Estimating the Mu Slip Curve via Extended Kalman Filtering
Automated braking system design relies on knowledge of how tire friction varies with the depth of the skid. This knowledge is captured empirically in the tire mu slip curve. An extended Kalman filter
is designed to fit test data to the mu slip curve. An animati... | 4 | [
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0... | 5,792 | 5792 | |
Absolute value inequality (and a square root, sadly)
February 26th 2013, 01:29 PM #1
Newbie
Joined
Feb 2013
From
Amsterdam
Posts
4
Hi guys,
Given: $\sqrt{|1-x|} \geq x$
Expanding absolute value: $x > 1 \wedge {\color{Red} \sqrt{x-1} \geq x} \vee x \leq 1 \wedge \sqrt{1-x} \geq x$
Note: th... | 4 | [
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-0.098632... | 5,793 | 5793 | |
Simultaneous Equations
October 28th 2006, 09:20 AM #1
Newbie
Joined
Oct 2006
Posts
17
Simultaneous Equations
How would I do...
4p-3q=6
3p-2q=5
2x=3y-2
3y=1+4x
and
4c + 3t =515
3c + 5t = 565
Thanks a lot. Still havent got my head around Simultaneous Equations
You... | 4 | [
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Subtleties about divergence
Picture of divergence as expansion
We have shown that the divergence measures expansion or compression of a vector field. We immersed a sphere into a vector field that had positive divergence everywhere, as shown below. No matter
where one moves the sphere (using the sliders), more fluid fl... | 4 | [
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Regression
Regression Using Excel's Solver
1 Introduction
Most math majors have some exposure to regression in their studies. Usually, this exposure is limited to linear regression, polynomial regression and perhaps exponential regression using least
squares. With the advent of new technology, I think it is time to c... | 5 | [
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Binomial Distribution Lesson Plans & Worksheets | Lesson Planet
Binomial Distribution Teacher Resources
Find Binomial Distribution educational ideas and activities
Showing 1 - 20 of 40 resources
Students explore the concept of binomial distribution. In this binomial distribution lesson, students perform binomial dis... | 4 | [
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find the radius of this circle
November 13th 2005, 06:28 AM
Natasha
find the radius of this circle
A, B, C, D are points on a circle of centre O and TA is the tangent to the circle at A.
TA = 7.1 cm
AD = 4.5 cm
Basically if we were to draw this circle we would first draw (Clockwise) the point D on ... | 4 | [
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Multivariable Calculus
┏━━━━━━┯━━━━━━━━━━┯━━━━━━━━━━┯━━━━━━━━┯━━━━━━━━━━┯━━━━━━━━━━┯━━━━━━━┯━━━━━━━━┯━━━━━┯━━━━━━━━━┯━━━━━┯━━━━━━━┓
┃ News │ Syllabus │ Sections │ Checks │ Calendar │ Homework │ Exams │ Addons │ Lab │ Project │ Fa... | 5 | [
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