content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Physics - friction up a slope
February 18th 2009, 06:30 PM #1
Junior Member
Joined
Dec 2008
Posts
54
Physics - friction up a slope
Problem:
Lindsey's car is driving up a hill when her book bag, which she forgot on the roof, falls off. The bag has a mass of 19kg and slides up the hill 60 meters from i... | 4 | [
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Quantum teleportation
From Wikipedia, the free encyclopedia
Quantum teleportation, or entanglement-assisted teleportation, is a technique used to transfer quantum information from one quantum system to another. It does not transport the system itself, nor
does it allow communication of information at superluminal (fas... | 4 | [
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Introduction
Objective
Introduction to electrochemical technique, Cyclic Voltammery, i.e., to study the ferri-ferrocyanide system by the Cyclic voltammetry.
Introduction
The goal of this experiment is to get familiar with:
* To test the potentiostat using a dummy cell.
* Using a modern electrochemical potentiostat... | 4 | [
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Need help with related rates
December 6th 2006, 08:03 PM
Sky12
Need help with related rates
Im trying to understand related rates here and im getting stuck at this word problem.
It says if V is the volume of a sphere with radius r, and the volume of the sphere decreases as the time passes. express dV/dt in ... | 5 | [
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Randomization Tests
STATISTICAL TESTS THAT DO NOT REQUIRE RANDOM SAMPLING
Randomization Tests
Numerical Examples
Randomization Tests and Nonrandom Samples
The Prevalence of Nonrandom Samples in Experiments
The Irrelevance of Random Samples for the Typical Experiment
Generalizing from Nonrandom Samples
Intelligibility
R... | 4 | [
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Software Design Of Root Locus Computer Science Essay
The virtual strength and transitory operation of a control system of a closed-loop are associated directly to the position of closed –loop roots of the distinctive equation in the s-plane. To obtain
appropriate location of root it often requires necessary changes to... | 4 | [
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Homoclinic/heteroclinic bifurcations: introduction
Posted by: matheuscmss | August 25, 2012
Homoclinic/heteroclinic bifurcations: introduction
About 5 months ago I attended a conference at UNC, Chapel Hill organized by Idris Assani. As I mentioned in this post here, after a kind invitation of Idris, I got the task of... | 4 | [
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Can an empty set be involved in a 1-1 correspondence?
Say A is empty. Could I do A --> B (1-1) or B --> A (1-1)? Thanks.
Every mapping $f:\varnothing\mapsto X$ is injective. To see this merely note that for the condition that there exists $x_1,x_2\in\text{Dom}(f)$ such that $f(x_1)=f(x_2)$ we would have to say $x_1,x_... | 5 | [
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A Quick Question of Inequalities
January 3rd 2012, 02:59 AM #1
Newbie
Joined
Apr 2011
Posts
9
I was a bit confused on something.
It's inequalities.
The question is
Find the set values of x for which:
2x^2 - 7x + 3 > 0
So, I did this.
(2x - 1) (x - 3) > 0
And after quickly ske... | 4 | [
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Complex Zeros in polynomials
July 10th 2009, 09:08 PM #1
I need a little help with this please:
Use the given zero to find the remaining zeros of the polynomial:
h(x) = x^4 - 9x^3 + 21x^2 +21x -130; zero: 3-2i
Now i kno all about the zeros when complex existing with their conjugates, i know all abou... | 5 | [
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NYTimes: It’s My Birthday Too, Yeah
I was explaining to my class the other day that given our class sizes it is better than 50-50 that two students have the same birthday.
But hard to explain.
So I give them this article.
Article below By STEVEN STROGATZ
Me, Myself and Math, a six-part series by Steven Strogatz, l... | 5 | [
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A Statisical problem
Comments
•
OK, here's a go at a possible algorithm, or at least the start of one. Make two lists of subsets, Asub and Bsub. Then for each set in Asub, list all the possible combos with the sets in Bsub in a
new list, subPairs. When you have finished going through Asub, you will have fin... | 4 | [
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Solving for rate (removal of logs)
December 15th 2010, 04:31 AM #1
Newbie
Joined
Dec 2010
Posts
2
Solving for rate (removal of logs)
Hi
I am trying to solve for r in the following:
F=P(1+r)^t
I've got it to: log(t) =log(F/P) / Log(1+r)
can someone please show me the step by step stage... | 4 | [
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Satellite- and Epoch Differenced Precise Point Positioning Based on a Regional Augmentation Network
Open Access This article is
• freely available
• re-usable
Article
Satellite- and Epoch Differenced Precise Point Positioning Based on a Regional Augmentation Network
^2
Department of Surveying and Geo-informati... | 4 | [
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rectangular prism problem
July 29th 2008, 03:44 PM
0110kim
rectangular prism problem
A rectangular prism 6cm by 3cm by 3cm is made up by stacking 1cm by 1cm by 1cm cubes. How many rectangular prism, including cubes, are there whose vertices are vertices of the cube, and whose
edges are parallel to the edges ... | 4 | [
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Equation with 3 unknow
February 24th 2013, 08:27 PM #1
Newbie
Joined
Oct 2012
From
Newyork
Posts
14
hi all
my question is;
A,B and C is one-digit number different from 0 and each other
200A+40B+10A^2+AB+90C=2600
Actually the extended form was
300A+40B=2000
10A^2+AB-10C=300... | 4 | [
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Theories of Failure
Good understanding of theories of failure are imperative in design of civil structures or mechanical equipments. This lecture will give you a conceptual introduction to theories of failure. So sit
back and Enjoy
Summary of above lecture along with industrial application of
Failure Theories
are li... | 4 | [
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[SOLVED] proof by induction
September 9th 2006, 07:14 PM
princess
[SOLVED] proof by induction
proof by induction; you follow the three steps ive got that much but i dont know how to do it when the numbers are squared.
for example...
1squared + 2squared + 3 squared + ........... + nsquared = 1/6 (n+1)(2n+... | 4 | [
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Proposition 97
The square on an apotome of a medial straight line applied to a rational straight line produces as breadth a first apotome.
Let AB be an apotome, and CD rational, and to CD let there be applied CE equal to the square on AB and producing CF as breadth.
I say that CF is a first apotome.
Let BG be the a... | 5 | [
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Simulink
Create Plots
Plot with Symbolic Plotting Functions
MATLAB^® provides many techniques for plotting numerical data. Graphical capabilities of MATLAB include plotting tools, standard plotting functions, graphic manipulation and data exploration tools,
and tools for printing and exporting graphics to standard f... | 5 | [
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numpy.polynomial.legendre.legroots
numpy.polynomial.legendre.legroots¶
Compute the roots of a Legendre series.
Return the roots (a.k.a. “zeros”) of the polynomial
c : 1-D array_like
Parameters :
1-D array of coefficients.
out : ndarray
Returns ... | 5 | [
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Second Order Recurrence relation
February 12th 2008, 11:42 AM #1
Newbie
Joined
Oct 2007
Posts
17
Second Order Recurrence relation
I can usually solve second order ones fine but this one has me stumped!
a(n) = 6a(n-1) - 9a(n-2) a(0) = 1 a(1) = 1
Using t^2 = 6t^(n-1) - 9t^(n-2)
I get t = 3 an... | 5 | [
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Special Set Structures
\(\newcommand{\R}{\mathbb{R}}\) \(\newcommand{\N}{\mathbb{N}}\)
1. 10
10. Special Set Structures
There are several other types of algebraic set structures that are weaker that \( \sigma \)-algebras. These are are not particularly important in themselves, but are important for constructing \( ... | 4 | [
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Probability with combinations
December 5th 2009, 04:22 AM
regdude
Probability with combinations
Hi!
I saw a exercise that I couldn't answer, but it seems so simple...
There is a chance that the book has a wrong answer (it says 5/6 is the answer), but I can't get that kind of an answer.
"There are 10... | 4 | [
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Integral and limit
1 ) Calculate this integral : ( >2) 2 ) Calculate :
What have you tried? Integration by parts and partial fraction decomposition will take care of the integral. $\int \frac{x\ln x}{(x^2-1)^2}dx=-\frac{1}{2}\frac{\ln x}{x^2-1}+\frac{1}{2}\int \frac{1}
{x}\frac{1}{x^2-1}dx$ $\frac{1}{x}\frac{1}{x^2-1}... | 5 | [
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... | 4,324 | 4324 | |
probability
December 16th 2008, 08:20 PM #1
Newbie
Joined
Dec 2008
Posts
12
a basket has 3 oranges 4 apples & 3 MANGOES. IN HOW MANY WAYS 2 FRUITS CAN BE CHOSEN FROM THE BASKET ? HOW MANY OF THEM WILL CONTAIN AN ORANGE.
Last edited by Zandra; December 16th 2008 at 08:42 PM.
I assume the fruits d... | 4 | [
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Nature of Roots
July 8th 2006, 02:08 PM #1
Newbie
Joined
Jul 2006
From
Cape Town, RSA
Posts
17
Nature of Roots
Hey sup got stuck with nature of roots, so sad -_-
-> Show that the equation mx^2 + 5x = 5m has real and unequal roots for all real values of m
and
-> Find the values of k for... | 4 | [
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chapter1_maple.html
The Maple notebook is chapter1.mw but you are warned that it may download as a text file.
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Chapter ... | 5 | [
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Post by thread:[pic]: determine if number is divisible by 3
Exact match. Not showing close matches.
PICList Thread
'[pic]: determine if number is divisible by 3'
2001\03\06@120239 by Dwayne Reid
re-send to the list because of missing tag.
Good day to all.
This is a re-visit of something discussed a few years ago - d... | 4 | [
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Thermal-FluidsPedia
Natural convection in rectangular enclosures
From Thermal-FluidsPedia
Heated from the Side
The scale analysis for natural convection in a rectangular enclosure heated from the left side suggested that there are multiple regimes shown in the following table:
┌───────────────────────────┬─────────... | 4 | [
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confidence interval
June 25th 2010, 05:07 PM #1
Junior Member
Joined
Sep 2009
Posts
41
confidence interval
Hi, this is a dumb question but can someone please explain to me when you're meant to use this confidence interval:
$\mu +- t_{\alpha/2, n -1} \sqrt{\frac{\sigma^2}{n}}$
and this one:
... | 4 | [
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need a help to simplify
$a_n(G)=\frac{t_n(G)}{(n-1)!}$ and $h_n(G)=\sum _{k=1}^n {n-1 \choose k-1} t_k(G)h_{n-k}(G).$ Then need to remove $t_k(G)$ and obtain $a_n(G)=\frac{1}{(n-1)!} h_n(G)-\sum _{k=1}^n \frac{1}{(n-k)!}h_
{n-k}(G)a_k(G).$
I think I made a mistake. Your answer is correct. Let me know how did u get it.... | 5 | [
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s, Zero Divisors, Nilpotents
Twisted Rings, Zero Divisors, Nilpotents, Units
Zero Divisors
If R is commutative, and there is no twist, units and nilpotents are well characterized. This page extends some of those theorems to the noncommutative world.
If σ has a nontrivial kernel, then for c in that kernel, xc = 0. In... | 4 | [
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M1 Garand and operating rod bending investigation
GarandOwner
June 5, 2008, 02:48 PM
Like many others I have a love for the M1 Garand, It is pretty much common knowledge (at least among Garand shooters) that the operating rod is sensitive to buckling due to its length. I have always
tried to find what pressure this o... | 5 | [
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IntroductionFinite Formulation for the MicromotorTopological Equation of the Micromotor in Discrete FormConstitutive Equation of the Micromotor in Discrete FormFinal Global Equation of the MicromotorResultsDiscrete Field in Frequency DomainDiscrete Field in Time DomainConclusionsReferencesFigures and Tables
Electromagn... | 4 | [
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permuations
April 20th 2010, 09:26 AM #1
Junior Member
Joined
Apr 2010
Posts
34
permuations
On Sunday you can either go to the cinema or to the the theatre, on
each of Monday, Tuesday and Wednesday you can study either maths,
physics or chemisctry, on each of Thursday, Friday and Saturday you
... | 4 | [
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Slow Motion in One-Dimensional Cahn-Morral Systems :: Institutional Repository
Slow Motion in One-Dimensional Cahn-Morral Systems
In this paper we study one-dimensional Cahn-Morral systems, which are the multicomponent analogues of the Cahn-Hilliard model for phase separation and coarsening in binary mi... | 4 | [
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STEP Maths I, II, III 1993 Solutions
Nor do I, to be honest. Not entirely sure what I was thinking. It does follow that you need the sign of f between the two turning points to be different if you are to have 3 roots (otherwise
there must be another turning point between the 2 turning points). But I think you n... | 5 | [
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[Maxima] Simplifying functions: exp and sqrt
Dieter Kaiser drdieterkaiser at web.de
Sun Jul 19 20:48:34 CDT 2009
I have studied in more detail the simple functions sqrt and exp.
I think, this can be the code, which will help to get the most simple
and consistent implementation:
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;... | 5 | [
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Menelaus
for these points to be collinear on a line e is
(DA/DC)(EB/EA)(FC/FB) = 1.
Here we take into account the orientation of the segments, so that ratios of lengths of segments,like (FB/FA) are negative
for points F between A and B and positive for locations of F outside the segment AB.
A proof can be given by p... | 4 | [
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Continued Fraction Output
Instead of convergents, suppose we wish to output the result of a homographic function as a continued fraction, so that it may be fed to another continued fraction computation. To achieve this, we
perform a division with remainder when two successive convergents floor to the same value before... | 5 | [
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Roots of equation?
May 25th 2009, 10:05 AM #1
Roots of equation?
If $x_1,x_2,x_3,\mbox{...},x_n$ are the roots of the equation $x^n + p_1x^{n - 1} + p_2x^{n - 2} + ... + p_{n - 1}x + p_n = 0$, where coefficient $p_1,p_2,p_3,\mbox{...},p_n$ are real, show that
$(1 + x_1^2)(1 + x_2^2)(1 + x_3^2)\mbox{...}(1 + ... | 5 | [
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MATLAB
Hello, friends:
Who can help me with the following issue??
I have a set of (x, y) data. I am going to find the coefficent (a, b) of Y = a*Log(x) +b. I did the following steps:
1. convert x data to Log data.
2. use polyfit to find a, b of Y = a*Log(x)
3. I use polyfit to find a and b.
By using poly(xfit, yif... | 4 | [
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Maple 11 Questions and Posts
Hello! I wrote a program in Maple but it doesn't work. It crashes with the following error: "Error, (in r_nach_1[3]) too many levels of recursion". I am a newbie in Maple and don't know how to solve
this problem. A part of my program that causes the error is given below. Many thanks!
res... | 4 | [
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Design of Circular Water Pipes using Hazen Williams Equation
┌────────────────────────────────────┬────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│Design of Circular Pressurized Water│Calculation uses Haze... | 4 | [
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0.0... | 4,344 | 4344 | |
MathGroup Archive: September 2005 [00177]
[Date Index] [Thread Index] [Author Index]
Re: true limit of mathematica ? Help me !!!
• To: mathgroup at smc.vnet.net
• Subject: [mg60249] Re: true limit of mathematica ? Help me !!!
• From: ... | 5 | [
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simultaneous equations
May 25th 2008, 08:39 PM #1
Newbie
Joined
May 2008
Posts
2
simultaneous equations
Can someone please help me with these two.
1." A total of 12,000 is invested in two funds paying 9% and 11% simple interest. If the yearly interest is $1,180, how much of the 12,000 is invested a... | 4 | [
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0.048583984375,
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-0.0483... | 4,346 | 4346 | |
to
Oct
31
I’m never going to understand the idea that start-ups are for young people. It is like the ads you see where people want a 25-year-old with 15 years of experience, you know,
“Expert in C++, systems administration, Linux, Windows, SAS, R, Hadoop, Ruby, Python and Java. Must have 5-plus years experience in d... | 5 | [
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0.0263671875,
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-0.0598144... | 4,347 | 4347 | |
Gauge Integral
Abstract. This page gives an introduction to the gauge integral (also known as the Henstock, Kurzweil, or generalized Riemann integral), and compares it with the Riemann and Lebesgue integrals.
Browser requirements. This web page uses gif images (underlines, and ^superscripts and [sub]scripts, so it req... | 4 | [
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0.00701904296875,
0.047... | 4,348 | 4348 | |
Arrangements
April 28th 2010, 02:07 AM
yutiwu
Arrangements
A photographer is taking a photograph of 10 people. He has to arrange them, all of different heights, in two rows of five, one behind the other. Each person at the back must be taller than the
person directly in front of them. Along the rows the heig... | 4 | [
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0.0546875,
-0.... | 4,349 | 4349 | |
n-dimensional "cross product" reference request
up vote 4 down vote favorite
2
I have written a paper which involves a "cross product" in $\mathbb{R}^n$ and I would like to have a reference to point to.
Let ${\bf e_1}, \dots, {\bf e_n}$ be the standard basis for $\mathbb{R}^n$ and let ${\bf w_1} = (w_{11},\dots,w_{1n... | 4 | [
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0.1015625,
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0... | 4,350 | 4350 | |
Items tagged with variables
The purpose is to display the projection of a 3D plane, defined by the points of P. "res" contains the points projected on a 2D plane and all variables beginning with "vlak" contain the points from
res that should be connected to form a plane. The command polygonplot connects the points. Eve... | 4 | [
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-0.03515625,
-0.... | 4,351 | 4351 | |
Composite factorial plus one
Sunday, March 3, 2013
How many positive integers \(n\) are there such that \(n! + 1\) is composite?
Please email your solutions to puzzles@cotpi.com.
3 comments
By Wilson's theorem, \((p - 1)! quiv -1 \pmod p\) for any prime \(p\). If \(n = p - 1\), then we get \(n! + 1 quiv 0 \pmod p\)... | 5 | [
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Financial maths, could you help me out and give me a website with the formulas
July 2nd 2008, 09:34 AM #1
Junior Member
Joined
Nov 2007
Posts
29
Financial maths, could you help me out and give me a website with the formulas
Mr Outov Luk recently emigrated to the UK, bringing with him a painting valued at... | 5 | [
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0.007995605... | 4,353 | 4353 | |
Perimeter and Area of Square |Formula |Worked-out examples on Perimeter and Area
Perimeter and Area of Square
The formula of perimeter and area of square are explained step-by-step with solved examples.
If 'a' denotes the side of the square, then, length of each side of a square is 'a' units
Perimeter of square ... | 4 | [
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Visualizing Lie Subalgebras using Root and Weight Diagrams
1. Introduction
Lie algebras are classified using Dynkin diagrams, which encode the geometric structure of root and weight diagrams associated with an algebra. This paper begins with an introduction to Lie algebras,
roots, and Dynkin diagrams. We then show how... | 4 | [
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Proposition 31
To draw a straight line through a given point parallel to a given straight line.
Let A be the given point, and BC the given straight line.
It is required to draw a straight line through the point A parallel to the straight line BC.
Take a point D at random on BC. Join AD. Construct the angle DAE equa... | 4 | [
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Differentiation Problem
Moderator
Registered: 2005-06-22
Posts: 4,900
Re: Differentiation Problem
Re: Differentiation Problem
dy/dx is tangent slope, so you can find some time when 1+x-2y is zero while 2x-2-y not.
A turning point also satisfies a condition that defferientials have opposite signs between... | 5 | [
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gauss | Lottery Post
There’s a popular story that Gauss, mathematician extraordinaire, had a lazy teacher. The so-called educator wanted to keep the kids busy so he could take a nap; he asked the class to add the numbers
1 to 100.
Gauss approached with his answer: 5050. So soon? The teacher suspected a cheat, but no. ... | 4 | [
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T
13
ROOTS OF POLYNOMIALS
OF DEGREE GREATER THAN 2
The factor theorem
The fundamental theorem of algebra
A strategy for finding roots
The integer root theorem
Conjugate pairs
Proof of the factor theorem
Proof of the integer root theorem
IN THIS TOPIC we will see how to find the roots of a polynomial of degre... | 4 | [
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0.0292968... | 4,359 | 4359 | |
GMAT Prep in Real Life: Probability and the World Cup -
Kyle Hausmann is a Content Developer at Knewton.
If the background sound of your dreams over the last month has been the endless blowing of vuvuzelas, then you either have a really annoying neighbor or you are caught up in World Cup fever. At
Knewton, we thought... | 4 | [
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Torsional Rigidity of Minimal Submanifolds
Publication: Research - peer-review › Journal article – Annual report year: 2006
Standard
Harvard
APA
CBE
MLA
Vancouver
Author
Bibtex
@article{3144e544fa734bff83124d035b0963c3,
title = "Torsional Rigidity of Minimal Submanifolds",
keywords = "Isoperimetric inequalit... | 4 | [
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Famous Theorems of Mathematics/Law of large numbers
Given X1, X2, ... an infinite sequence of i.i.d. random variables with finite expected value E(X1) = E(X2) = ... = µ < ∞, we are interested in the convergence of the sample average
$\overline{X}_n=\tfrac1n(X_1+\cdots+X_n).$
The weak lawEdit
Theorem: $\overline{X}_n... | 5 | [
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-... | 4,362 | 4362 | |
Linear Regression In PHP
10 Oct 2011
I've had a couple of emails recently about the excellent Stanford Machine Learning and AI online classes, so I thought I'd put up the odd post or two on some of the techniques they cover, and what
they might look like in PHP.
The second lecture of the ML class jumps into a simple... | 5 | [
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Identify Low-Order Transfer Functions (Process Models) Using System Identification Tool
Introduction
Objectives
Estimate and validate simple, continuous-time transfer functions from single-input/single-output (SISO) data to find the one that best describes the system dynamics.
After completing this tutorial, you wi... | 4 | [
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0.0240478515625,... | 4,364 | 4364 | |
Math Challenged
2012-May-01, 06:57 PM #664
2012-May-01, 09:47 AM #663
2012-May-01, 04:14 AM #662
2012-May-01, 03:59 AM #661
Good. I was afraid you might except it instead
Can define the integrand to be anything you like at theta=0, R=1, and the Lebesgue integral remains well defined.
That looks like it.... | 4 | [
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-0.06... | 4,365 | 4365 | |
3 homework question
October 25th 2008, 11:22 AM #1
Newbie
Joined
Oct 2008
Posts
11
3 homework question
1) Use long division to find the remainder when x^4-3x^2+5x-1 is divided by x^2-3
2) Solve the rational equation
x(2x+1) = 10 - 5
x - 2____ x-2_ 2
3) The line x = 3 is the axis of sym... | 4 | [
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-0.083007... | 4,366 | 4366 | |
How can a be irrational if it's exponent is an integer?
August 29th 2013, 12:17 PM #16
Junior Member
Joined
Apr 2013
From
USA
Posts
68
Thanks
1
Re: How can a be irrational if it's exponent is an integer?
So basically because the number is irrational, then that number times itself any amount of ti... | 4 | [
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0.0380859375,
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0.11865234375,
0.0595703125,
0.0269775390625,
-0.0546875,
0.06640625,
-0.... | 4,367 | 4367 | |
Quick Review 2-3
Unit 2 - Objective 3 - Division of Polynomials
You may need to review Unit 1 - Objective 4 - Rules of Exponents again. Remember (a^m) / (a^n) = a^m - n.
Example... | 4 | [
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-0.051513671875,
0.0571289062... | 4,368 | 4368 | |
Arithmetic and Pre Algebra Lesson Plans & Worksheets | Lesson Planet
Arithmetic and Pre-Algebra Teacher Resources
Find Arithmetic and Pre Algebra educational ideas and activities
Showing 1 - 20 of 1,791 resources
In this arithmetic and geometric progressions learning exercise, students solve and complete 8 different... | 4 | [
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... | 4,369 | 4369 | |
Clifford algebra
From Wikipedia, the free encyclopedia
In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions. The theory of Clifford
algebras is intimately connected with the theory of quadratic forms an... | 4 | [
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0.08203... | 4,370 | 4370 | |
s
┏┯━━━━━━━━━━━━━━━━┯┓
┃│ I'M SPECIAL, │┃
┃│ YOU'RE SPECIAL │┃
┗┷━━━━━━━━━━━━━━━━┷┛
We begin this page of special numbers with one of my all-time favorites: 153. The reason I like it so much, I guess, is that it was the first one I learned about many years ago from a number category
called narcissistic. Its unique q... | 4 | [
-0.01080322265625,
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0.042236328125,
0.00... | 4,371 | 4371 | |
simple trig identities
Using the identity $tan (A+B)=\frac{tan A+tan B}{1-tan Atan B}$, we get: $tan (90^0+X)=\frac{tan 90^0+tan X}{1-tan 90^0 tan X}$ = $\frac{1+\frac{tan x}{tan 90^o}}{\frac{1}{tan 90^0}-tan X}$ (Dividing
throughout by $tan 90^o$) = $\frac{1+0}{0-tan X}$ = $\frac{1}{-tan x}$ = $-cot X$
Last edited by... | 4 | [
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nal
ABSTRACT 1
An Optimum In-place Merge Algorithm
... | 4 | [
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Math Forum Discussions
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Topic: Plane (Old) Geometry
Replies: 2 Last Post: Jul 6, ... | 5 | [
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-0.00131988525390625,
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-0.103515625,
... | 4,374 | 4374 | |
Birth Process/Poisson Process
March 13th 2010, 09:00 AM #1
Member
Joined
Feb 2008
Posts
184
Birth Process/Poisson Process
An Island is initially uninhabitated. Creatures arrive as a poisson process of rate a per month. Once there each creature produces offspring as a poisson process of rate b per month. ... | 5 | [
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0.01171875,
0.087890625,
0.021728515625,
-0.0274658203125,
-0.13378906... | 4,375 | 4375 | |
Function SQRT, ISQRT
Syntax:
sqrt number => root
isqrt natural => natural-root
Arguments and Values:
number, root---a number.
natural, natural-root---a non-negative integer.
Description:
sqrt and isqrt compute square roots.
sqrt returns the principal square root of number. If the number is not a compl... | 4 | [
-0.011962890625,
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-0.057861328125,
-0.04760742187... | 4,376 | 4376 | |
Congruence equation
September 28th 2008, 04:55 PM #1
Member
Joined
Nov 2007
Posts
108
Congruence equation
Hope someone can help me with this problem.
Suppose a, b, m are integers with (a,m)=1. Prove that the solution to the congruence equation $ax \equiv b mod m$
is $x \equiv ba^{\phi(m)-1}$ , $\... | 4 | [
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... | 4,377 | 4377 | |
Magnetic Sail as a Star-Brake
Robert Zubrin and Dana Andrews invented the concept of the Magnetic Sail, or Mag-Sail, which is basically a large superconducting ring which generates a large magnetic field, which mimics a planet’s
magnetosphere and interacts with the Sun’s plasma-wind. Within a solar system a Mag-Sail p... | 4 | [
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-0.001556... | 4,378 | 4378 | |
Triangular Pyramid
Right-Triangular Pyramid Volume Calculator
Right-Triangular Pyramid Volume
Volume of a Pyramid with Right-Triangular Base
Result:
0.5
base (b) units
... | 4 | [
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0.07568359375,
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0.02819... | 4,379 | 4379 | |
Volume of solids, cross sections, and fluid force
January 30th 2011, 03:01 PM #1
Member
Joined
Aug 2009
Posts
101
Volume of solids, cross sections, and fluid force
Alright, so I have my test review in my hand. This semester's instructor doesn't use coursecompass and the demo class we get is useless. He a... | 5 | [
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Maths Difficulty.....Please Help Somebody :)
(Original post by Bhaal85)
dy/dx = 6x+8 right.
set to equal 0 = 6x+8=0
rearrange to make x subject you get: x=-8/6
sub that into orignal equation 3x^2+8x+16 = 10r2r3. (ten and two thirds)
yes, but by completing the square we have divided by the 3... | 4 | [
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-0... | 4,381 | 4381 | |
Linear
Approximating Solutions of Linear Ordinary Differential Equations with Periodic Coefficients by Exact Picard Iterates
5. Application to Linearized Systems of Driven Pendula
Consider a system of
It is a fact of everyday experience that the upside-down equilibrium position in which all rods are fixed at the ve... | 4 | [
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Polar equation
February 14th 2007, 03:17 PM
mike1
Polar equation
I need help with this one:
Find an equation in x and y for the conic section with polar equation r=
1
___
1+cos[theta]
possible answers:
y[squared]=1-2x
x[squared]-x+y[squared]=1
x[squared]+y[squared]=1
x[squar... | 4 | [
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... | 4,383 | 4383 | |
Taking a closer look at LHC - PHYSICS AT LHC
The so-called “Beam Lifetime” (ζ) is the time interval after which the intensity of the beam has reached 1/e of its initial value (e is Euler’s number).
We are going to estimate this value by considering any of the more important situations wich can cause decreasing of the ... | 5 | [
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Determine optimal product mix with Solver
Applies to
Microsoft Office Excel 2003
Microsoft Excel 2000 and 2002
Microsoft Excel Data Analysis and Business Modeling by Wayne L. Winston.
This classroom-style book was developed from a series of presentations by Wayne Winston, a well known statistician and busin... | 5 | [
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How many six-digit positive integers are there, which is evenly divisible by 4 or 9?
February 2nd 2010, 09:35 AM #1
Newbie
Joined
Feb 2010
From
Trondheim
Posts
8
How many six-digit positive integers are there, which is evenly divisible by 4 or 9?
(If you let A be the amount of six-digit positive ... | 4 | [
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IntroductionThe Experimental System StructureSystem IdentificationFunctional Approximation TechniqueController Design and Stability AnalysisFunctional Approximation Based Adaptive Sliding-Mode ControllerModel-Based Sliding-Mode Controller DesignExperimental ResultsCase A: The Circular Trajectory TrackingCase B: The Win... | 4 | [
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-0.0029... | 4,387 | 4387 | |
Business Statistics: Tchebysheff's Theorem
November 17th 2009, 06:21 AM #1
Member
Joined
May 2009
Posts
93
This is a three part question and I'm stuck on the third part, if someone could please help.
Consider the following set of sample data:
78 121 143 88 110 107 62 122 130 95 78 139 89 125
... | 4 | [
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Integration by parts
August 13th 2012, 03:36 PM #1
Junior Member
Joined
Nov 2011
Posts
31
Thanks
1
Integration by parts
Hello!
I am trying to solve the following indefinite integral by using integration by parts (as is recommended by the textbook): $\int{(e^x\sin{x})dx}$.
However, I am stuc... | 5 | [
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Interpolation - Monomial Basis (Vandermonde matrix)
Given ${n+1}$ distinct real numbers ${x_j}$, and ${n+1}$ real numbers ${y_j}$, we wish to find a polynomial ${p_n}$ (where ${n}$ is the degree), such that ${p_n(x_j)=y_j, \;j=0,\dots,n}$. The
polynomial must be of at most degree ${n}$ since we have ${n+1}$ constraints... | 4 | [
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Rama Math Help
These pages are to help people having problems with the alien number machines in the Sierra game Rama.
This page does not have the answers to the problems, it is to help you solve them. If you are using windows ... | 4 | [
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Inverse of z
January 29th 2008, 04:28 PM #1
Member
Joined
Sep 2006
Posts
221
Inverse of z
Using $z^{-1} = \frac{z*}{|z|^2}$, geometrically show how you would construct $z^{-1}$.
NOTE z* means the conjugate of z.
I have no idea. I know how to show it algebraically, since we'd have:
$\frac{1... | 4 | [
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The Fundamental Counting Principle
January 10th 2013, 10:42 PM
alejandro
The Fundamental Counting Principle
The Fundamental Counting Princip le
1) In how many different ways can the letters of the word GREAT be rearranged if the new arrangement must begin with a T and repetitions are not allowed?
Is ... | 4 | [
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Quartic Equation with reals
If x and y are reals, and x+y=1 and (x^2+y^2)(x^3+y^3)=12, then what is the value of x^2 + y^2 ?
$x^3+y^3=(x+y)(x^2-xy+y^2)=x^2-xy+y^2$ $(x^2+y^2)(x^3+y^3)=(x^2+y^2)(x^2-xy+y^2)=12$ Notice that if we square x+y=1 on both sides we get $x^2+y^2+2xy=1$ Now we have $1+2xy=1$, $2xy=0$. Therefore... | 4 | [
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Algebra Lessons Index
If you have little or no algebra background, you may read the lessons in the order listed below. If you have some algebra background, you can usually skip to any topic that you need to learn or
review.
Algebra Basics
Equation Basics
The equation and its relationship with a balance.
Sample Prob... | 4 | [
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0... | 4,395 | 4395 | |
Please help Trig FUnctions!!!!!
Bring everything to one side, convert it all to either sin and cos or tan and cot to simplify. Give it a shot, if it doesn't work out we'll help further :)
Quote: Originally Posted by cheerleader4life4u I understand this is as, $\tan x-\frac{\sin x\cos x}{\sin^2x}$ First you can cancel ... | 4 | [
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Nothing But a Number
Spatial Logics allow one to reason about the behaviour and structure of concurrent programs. SLMC is a spatiallogic model checker for pi-calculus processes. As a little exercise I used it for
reasoning about Church numerals and processes that operate on them.
Numbers as Processes
In his original ... | 5 | [
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How to Safely Convert From One Unit to Another
We can convert from km/h (kilometers per hour) to m/s (meters per second) like this:
A kilometer has 1,000 meters, and an hour has 3,600 seconds, so a kilometer per hour is:
• 1000 / 3600 = 0.... | 4 | [
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trigonometric identities
September 14th 2008, 09:43 AM
robasc
trigonometric identities
I am trying to learn how to transform identities of one side of the equation to the other side. is this correct?
I am using 0 for theta
theta = 0
question:
tan 0 + cot 0
-------------- = csc^2 0
... | 4 | [
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