content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Re: linear algebra identities of inverse matricies/transpose
July 18th 2010, 09:48 AM #1
Junior Member
Joined
Jul 2010
Posts
66
Re: linear algebra identities of inverse matricies/transpose
Left Inversion in Rectangular Cases: A subscript(left) = Al
Let Al^(-1) = (A^T * A)^(-1) * A^T
show Al^(-1) ... | 5 | [
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Observers can collect data from a sample in order to make generalizations about a population
Statistical and Mathematical Appendix
This collection of Pages concerning general undergraduate biology curriculum reform has been organized by S... | 5 | [
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0... | 5,501 | 5501 | |
Inequality Proof
September 21st 2008, 04:44 PM #1
Junior Member
Joined
Aug 2008
Posts
33
Inequality Proof
Hi I am working on my homework for Discrete Math and I don't know how to do this proof. It says, "Use proof by cases that |x+y|≤ |x| + |y| for all real numbers x and y." I know what proof by
case... | 4 | [
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Toric Sections: Spiric Sections, Villarceau Circles, Lemniscate of Bernoulli, Cassini Oval, Hippopede, Toric Section
home > paid book/ebook
Toric Sections: Spiric Sections, Villarceau Circles, Lemniscate of Bernoulli, Cassini Oval, Hippopede, Toric Section
Chapters: Spiric Sections, Villarceau Circles, Lemniscate of ... | 4 | [
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Chris Carter on I.R./Marshall McFadden now on Active Roster/Jamie McCoy back on P.S.
11-15-2012, 06:19 PM #11
you don't have confidence that our former 2nd round draft choice Jason Worilds can be that stud OLB to replace Harrison?
From my very amateur and unqualified eye, I haven't seen anything from Worilds ... | 5 | [
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A Framework for Technology-Rich Explorations - Illustration of the Framework 3
Level 3: Function Model
Students employing function model strategies have a stronger understanding of function and curve fitting. Students with a background of the Pythagorean Theorem may set up a function that describes
the total length of... | 4 | [
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Show that Newton's method applied to x^n - c = 0 produces the iterative scheme...
December 7th 2011, 06:14 PM #1
Newbie
Joined
Dec 2011
Posts
5
Show that Newton's method applied to x^n - c = 0 produces the iterative scheme...
Show that Newton's method applied to $x^{n} - c = 0$ (where n and c are positiv... | 5 | [
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Math Problem Answers | Solved Math Questions and Answers | Free Math Answers
Math Problem Answers
Math problem answers are solved here step-by-step to keep the explanation clear to the students. In Math-Only-Math you'll find abundant selection of all types of math questions for all the grades
with the complete step-by... | 4 | [
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Memorandum from Raymond L. Murray to Clifford Beck
Handwritten
... | 4 | [
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Making numbers add up to square numbers
November 18th 2007, 08:35 AM
Markdevs
Making numbers add up to square numbers
Hi everyone,
I'm stuck on this question and it's driving me crazy!!
Basically you have to add numbers in a line of a triangle that will add up to a square number.
e.g. a
b c
... | 4 | [
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IntroductionBending MomentDeflection of a Simply Supported Composite PlateFinite Element AnalysisNumerical Validation and ExamplesExample 1: Three different sizes of actuatorsExample 2: Three different locations of actuatorsConclusionsReferencesFigures and Tables
Sensors Sensors 1424-8220 Molecular Diversity Preservati... | 4 | [
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Few more Algebra problems..
June 19th 2006, 08:34 PM
daniel4616
Few more Algebra problems..
I have a couples problems with certain types of problems. I cant seem how to figure these ones out, any help is appreciated.
1. Find x and express answer in terms of natural logarithms: 2e^3x=6
2. Express 1+ ln ... | 5 | [
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Geometry and Groups
The Dihedral Group: Consider a regular $n$-gon. Then rotating it by a multiple of $2\pi /n$ leaves it unchanged, as does a reflection through any one of its axes of symmetry. Thus if $a$ represents
rotation by $2\pi /n$ and $c$ represents reflection through one of its axes of symmetry, then all the... | 4 | [
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Comparison of the Instantaneous Profile Method and inverse modelling for the prediction of effective soil hydraulic properties.
Introduction
Investigations into water movement in soils require knowledge of the hydraulic conductivity function K([theta]) or K(h) and the soil water retention [theta](h) function, where [... | 4 | [
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polynomial root
November 18th 2006, 09:13 PM #1
Member
Joined
Nov 2006
From
Florida
Posts
228
polynomial root
If we are told that $a+\frac{b}{2}+\frac{c}{3}+\frac{d}{5}=-\frac{e}{6}$, where $a,b,c,d,e \in {R}$.
Prove that the polynomial $f(x)=a+bx+cx^2+dx^4+ex^5$ has at least one real zero.
... | 4 | [
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Some really easy math, which I can't do
March 29th 2008, 09:01 AM #1
Member
Joined
Jul 2007
Posts
147
Some really easy math, which I can't do
I was given some information:
An animal population grows by 8% every year, and in addition 40 individual move there at the end of each year. At the beginning ... | 5 | [
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Differentials and Integrating
October 20th 2012, 09:41 PM #1
Member
Joined
Jun 2012
From
Australia
Posts
86
Differentials and Integrating
*EDIT: Whoops, wrong forum. This can be moved if needed. Sorry.
Hello,
I'm really having a bit of trouble here. I'm doing an online course with limited r... | 5 | [
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IntroductionMethods and MaterialsStudy area and remote sensing dataNDVIVariogram and kriging estimationConditional Latin hypercubeSequential Gaussian SimulationResults and DiscussionStatistics and spatial structures of NDVI imagesLatin hypercube sampling for multiple imagesEstimations and conditional simulations with s... | 4 | [
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A Course in Abstract Analysis
I came very close to not reviewing this book. When I was provided a list of books that were available for review, I saw the title of this one, which immediately brought to mind the course in analysis
(mostly about measure theory) that I took as a first-year graduate student; since I though... | 4 | [
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... | 5,518 | 5518 | |
xyy' = yy' + x(y')^2
January 20th 2010, 01:44 PM #1
Newbie
Joined
Mar 2009
Posts
18
xyy' = yy' + x(y')^2
Hi everyone,
I need help trying to solve the following:
$xyy'' = yy' + x(y')^2$
Mathematica says the solution is $y(x) = c_1e^{x^2}$ but I have no idea how to get there.
I just notic... | 5 | [
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Need help in C and Java for a sample problem
You have a block of platinum that can be exchanged in your bank either for cash or for smaller blocks of platinum. If you exchange a block of m grams, you get three blocks of weight m/2, m/3 and m/4
grams each. You don't get any fractional part, as the division process rou... | 5 | [
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Geometry - the learning point
Geometry
1.Triangles and Congruence
Theorems:
1.1 Definition:Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.
1.2 There are five basic condition that can be used to compare the congruency of triangles.The... | 4 | [
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8.3.3 Kruskal's Algorithm
Next: 8.4 Traveling Salesman ProblemUp: 8.3 Minimum-Cost Spanning TreesPrevious: 8.3.2 Prim's Algorithm
8.3.3 Kruskal's Algorithm
REF.
J.B. Kruskal. On the shortest spanning subtree of a graph and the traveling salesman problem. Proceedings of the American Mathematical Socie... | 4 | [
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Design Optimization to Meet Step Response Requirements (Code)
This example shows how to programmatically optimize controller parameters to meet step response requirements using sdo.optimize.
Model Structure
The model sldo_model1 includes the following blocks:
● Controller block, which is a PID controller. This bl... | 5 | [
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A simple system with two different timescales
While struggling with the proof of a result for a model for photosynthesis (which I intend to report on in more detail at a later date) I decided to apply the following principle which I heard about
as an undergraduate and is apparently due to Paul Halmos: if there is a ma... | 5 | [
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Integrate Using Substitution
June 18th 2007, 06:08 AM #1
Newbie
Joined
Jun 2007
Posts
3
Integrate Using Substitution
I got this question in my maths exam today, I think I got it right - but I'm unsure.
$<br /> \int_0^2 \frac{2^x}{(2^x+1)^2} dx<br />$
Use the substitution $u = 2^x$
I got so... | 5 | [
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The
The main objects upon which this package operates are the free vector, the PositionVector, the RootedVector, the VectorField, curves, surfaces, and scalar fields. Lists cannot be used in place of
vectors, and scalar fields are ordinary Maple functions and expressions. Information about vector objects - coordinate ... | 4 | [
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0... | 5,526 | 5526 | |
Z=123456789101112131415...
July 27th 2006, 11:05 PM
Bartimaeus
Z=123456789101112131415...
I was given this question last week and have spent some time on it without any results. :(
The number Z=123456789101112131415... is made using an obvious pattern.
What is the 10 000th digit in this number?
Hop... | 5 | [
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0.03784179... | 5,527 | 5527 | |
Proving Trigonmetric Identity
July 24th 2009, 02:31 AM #1
Super Member
Joined
Nov 2008
Posts
597
Proving Trigonmetric Identity
Can someone please prove the following for me with detailed steps so I can understand?:
cot P + tan P = (cosec P)(sec P)
Any help would be greatly appreciated!
Than... | 4 | [
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0.00170135498046875,
-0.023193359375,
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0.051025390625,
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0.0101318359375,
0.00193023681640625,
0.06640625,... | 5,528 | 5528 | |
Continuity problem
September 28th 2013, 09:13 AM #1
Newbie
Joined
May 2013
From
morroco
Posts
14
Thanks
1
Continuity problem
Hello MHF, please help on this problem; (and by the way, we only did the continuity lesson )
We are given :
$f:[0,1]\rightarrow [0,1]$
$g:[0,1]\rightarrow [0,1]... | 4 | [
0.06005859375,
-0.0238037109375,
0.01202392578125,
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0.0625,
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-0.0166015625,
-0.006591796875,
-0.01171875,
0.0257568359375,
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Natural convection on cylinders and spheres
From Thermal-FluidsPedia
Vertical Cylinder
Natural convection on a vertical cylinder can find its applications in the cooling of nuclear reactors, large-current bus in power plants, as well as in the human body. A vertical cylinder has three
surfaces: the top surface, the ... | 4 | [
-0.0625,
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A New Self-Calibrated Procedure for Impact Detection and Location on Flat Surfaces
Open Access This article is
• freely available
• re-usable
Article
A New Self-Calibrated Procedure for Impact Detection and Location on Flat Surfaces
^1
GITERM. ETS I. Navales, Universidad Politécnica de Madrid, Arco de la Victo... | 4 | [
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elp
The second illustration of the new functionality in the DifferentialGeometry package for Maple 17 also involves the exceptional Lie algebra , but now in the context of infinitesimal holonomy.
Let be an -dimensional Riemannian manifold with metric .
Let be a fixed point.
Then the holonomy group Holof the Riemanni... | 5 | [
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Circuit Theory/Resistive Circuit Analysis
From Wikibooks, the open-content textbooks collection
Resistive Circuit Analysis
There are certain established rules that can be used to examine a circuit that is comprised entirely of resistors and sources. Among these are tools for combining resistors in certain configurati... | 5 | [
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0... | 5,533 | 5533 | |
Math Help
May 13th 2011, 09:39 AM #1
Super Member
Joined
Aug 2009
Posts
639
centre
why is it we say that the centre of SU(N) is isomorphic to Z (mod n) and center of U(N) is isomorphic to U(1) when
both their centres are {aI : lal=1}
are they different or the same
Well it's almost always t... | 4 | [
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ad
LinearFunctionalSystems[MatrixTriangularization] - return the equivalent matrix recurrence system with nonsingular leading or trailing matrix
LinearFunctionalSystems[Rank] - reveal the rank of a recurrence system
Calling Sequence
MatrixTriangularization(mat, m, x, lt)
Rank(mat, m, x, lt, res)
Parameters
... | 4 | [
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-0.056396484375,
-0.12890625,
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-0.05810546875,
0.001983642578125,
-0.038330078125,
... | 5,535 | 5535 | |
an
Math::PlanePath::HilbertCurve -- 2x2 self-similar quadrant traversal
use Math::PlanePath::HilbertCurve;
my $path = Math::PlanePath::HilbertCurve->new;
my ($x, $y) = $path->n_to_xy (123);
This path is an integer version of the curve described by David Hilbert in 1891 for filling a unit square. It traverses a qua... | 4 | [
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0.0296630859375,
-0.03955078125,
0.0201416015625,
-0.1064453125,
-0.0103... | 5,536 | 5536 | |
IntroductionTransient Sensor TheoryGas Diffusion into a Closed Chamber Coated by a Planar MembranePressure Evolution in the Measurement ChamberApproximationsDetermination of a Gas ComponentComputational Simulations and ExperimentsComputational SimulationsExperimentalResults and DiscussionComparison of Exact Solutions a... | 4 | [
0.00628662109375,
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0.00958251953125,
-0.0810546875,
-0.10009765625,
0.0888671875,
-0.00... | 5,537 | 5537 | |
in
The main purpose of astronomical telescope is to make objects from outer space appear as bright, contrasty and large as possible. That defines its three main function: light gathering, resolution and
magnification. These are the measure of its efficiency. All three are related to some extent, but also have their ind... | 4 | [
0.06298828125,
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-0.033447265... | 5,538 | 5538 | |
A New Attack to RSA on Tamperproof Devices
Date: Wed, 23 Oct 1996 09:38:15 --800
From: deng@iss.nus.sg (Robert Deng)
To: cypherpunks@toad.com, mab@research.att.com, shamir@wisdom.weizmann.ac.il, benaloh@microsoft.com, brassard@iro.umontreal.ca, yiqun@rsa.com
Subject: A new attack to RSA on tamperproof devices
Cc: b... | 4 | [
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Series dealing with exponationals
February 17th 2008, 10:05 PM #1
Series dealing with exponationals
I don't see how
1. $\sum_{n=1}^\infty \frac{1}{e^n} + \frac{1}{n(n+1)}$ = $\frac{e}{e-1}$
2. $\sum_{n=1}^\infty e^\frac{1}{n} - e^\frac{1}{n+1}$ = $e-1$
In the first case I know that as $n\rightarrow... | 5 | [
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-0.09814453125,... | 5,540 | 5540 | |
ation
The QDifferenceEquations package provides tools for studying equations of the form:
and their solutions , where are polynomials in the indeterminates and . The indeterminate is considered to be a constant. is the associated q-difference operator of order , where represents the
q-shift operator .
For example, th... | 4 | [
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-0.06396484375,
-0... | 5,541 | 5541 | |
MathGroup Archive: June 1995 [00068]
[Date Index] [Thread Index] [Author Index]
Re: Question about interpolation and ListPlot3D
• To: mathgroup at christensen.cybernetics.net
• Subject: [mg1498] Re: [mg1460] Question about interpolation... | 5 | [
-0.1064453125,
-0.01519775390625,
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-0.079589... | 5,542 | 5542 | |
User:Timothee Flutre/Notebook/Postdoc/2012/08/16
From OpenWetWare
(Difference between revisions)
m (→Variational Bayes approach for the mixture of Normals: add missing term) (→Variational Bayes approach for the mixture of Normals: add part of updates for q_z)
← Previous diff ... | 4 | [
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Greatly Improved Small Inductance Measurement Using Quartz Crystal Parasitic Capacitance Compensation
Open Access This article is
• freely available
• re-usable
Article
Greatly Improved Small Inductance Measurement Using Quartz Crystal Parasitic Capacitance Compensation
Faculty of Electrical Engineering and Com... | 4 | [
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Example 7.2.12(b): Integrating Rational Functions
We want to again use partial fraction decomposition, so we need to factor the polynomial
p(x) = 1 - x^4
. Clearly:
1 - x^4 = (1 - x^2) (1 + x^2) = (1 + x) (1 - x) (1 + x^2)
By the partial fraction decomposition theorem we therefore know that:
We can again comb... | 5 | [
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Order Of Integration Switch
November 6th 2011, 11:46 AM
spruancejr
Order Of Integration Switch
I've been given the double integral $\int_{x= 0}^{1}\int_{y=x}^{3x}xy dydx$ and instructed to change the order of integration and solve. After solving the given integrals I found they equaled 1.
I reasoned that th... | 4 | [
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-... | 5,546 | 5546 | |
Can You Really Derive Conic Formulae from a Cone? - Why Do Menaechmus' Constructions Work?
Reconsider the mean proportionals x and y of a and 2a: a:x = x:y = y:2a. With the help of modern analytic geometry, we see that this is equivalent to solving simultaneously two of x^2 = ay, y^2 = 2ax
, and xy = 2a^2. You should n... | 4 | [
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-0.06494140625,
0.0... | 5,547 | 5547 | |
Work the Shell - Calculating the Distance between Two Latitude/Longitude Points
Finding your way at the command line.
Last month, I closed this column with a script that can return latitude/longitude values for two addresses, with the intent ultimately being to have the script calculate the distance between those
two... | 4 | [
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0.013427... | 5,548 | 5548 | |
Pieter's Blog
Welcome to Pieter Kat's official LionAid blog. Here you can follow Pieter's opinions, thoughts, insights and ideas on saving lions.
Wednesday 27th April 2011
Click here to read Part One of this important blog!
To calculate the number of adult male lions entering a population annually I used this formu... | 4 | [
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0.0301513671875,
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Motor Speed: Simulink Modeling
DC Motor Speed: Simulink Modeling
Contents
Physical setup
A common actuator in control systems is the DC motor. It directly provides rotary motion and, coupled with wheels or drums and cables, can provide translational motion. The electric circuit of the
armature and the free-body dia... | 4 | [
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Difficult brain teaser - mix of algebra, number theory and maybe s.o.
August 16th 2012, 06:57 AM
annegret
Difficult brain teaser - mix of algebra, number theory and maybe s.o.
Hi there,
I put up an very interesting question from a mathematical magazine, but I was not able to solve it:
There are n bottle... | 5 | [
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OEM 3W Laser Diode Temperature Control
PID Basics
The PID circuit is often utilized as a control loop feedback controller and is very commonly used for many forms of servo circuits. The letters making up the acronym PID correspond to Proportional
(P), Integral (I), and Derivative (D), which represents the three contro... | 4 | [
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... | 5,552 | 5552 | |
Derivative question
May 28th 2010, 05:25 AM #1
Junior Member
Joined
Sep 2009
Posts
34
Derivative question
Hi,
I'm having a little trouble with finding the derivative of this one. The fraction with the square root is giving me the trouble, I'm not sure if I should be using the quotient rule or the ch... | 4 | [
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0.0388... | 5,553 | 5553 | |
Application of the Operational Transconductance Amplifier (OTA)
the Technology Interface
Application of the Operational Transconductance Amplifier (OTA) to Voltage-controlled Amplifiers and Active Filters
... | 4 | [
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0.0101... | 5,554 | 5554 | |
Design Yaw Damper for Jet Transport
Overview of this Case Study
This case study demonstrates the tools for classical control design by stepping through the design of a yaw damper for a 747^® jet transport aircraft.
Creating the Jet Model
The jet model during cruise flight at MACH = 0.8 and H = 40,000 ft. is
A=[-.0... | 4 | [
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0.0206298828125,
... | 5,555 | 5555 | |
Real-Time Particle Mass Spectrometry Based on Resonant Micro Strings
Open Access This article is
• freely available
• re-usable
Communication
Real-Time Particle Mass Spectrometry Based on Resonant Micro Strings
Received: 10 July 2010; in revised form: 30 July 2010 / Accepted: 15 August 2010 /
Published: 27 Augu... | 4 | [
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... | 5,556 | 5556 | |
inear
1st: Arrange the equations so they look like:
2nd: Type in the values of constants and coefficients A, B, C, D, E, and F.
Enter negatives without a space -- enter "- 2" as "-2."
┌─────────────────────────────────┐
│For a "Quick Answer," press each:│
└─────────────────────────────────┘
3rd: Replac... | 4 | [
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Value Creation in an LBO
Efficient Capital Structure
The primary way in which value is created in an LBO is through the use of borrowing to finance the acquisition. A financial sponsor utilizes leverage to realize higher returns on the equity it
invests. A key driver behind the outsized returns generated in a successf... | 5 | [
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0.04638671... | 5,558 | 5558 | |
Center (h,k) and the radius r of each circle.
February 11th 2008, 07:27 PM #1
Newbie
Joined
Feb 2008
Posts
6
OK, I tried doing part of this problem but now I am stuck.
1a. Find the center (h,k) and the radius r of each circle.
$x^2+y^2+4x+2y-20=0$
$x^2+y^2+4x+2y-20=0$
$(x^2+4x)+(y^2+2y... | 4 | [
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0.006317138... | 5,559 | 5559 | |
Convergence of Infinite Products
There is a simple convergence test for infinite products that I think deserves to be better known.
Theorem. Let $a_n$ be a sequence of positive numbers. Then the infinite product
$\displaystyle\prod_{n=1}^{... | 5 | [
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0.024... | 5,560 | 5560 | |
Computer Algorithms: Topological Sort Revisited
Introduction
We already know what’s topological sort of a directed acyclic graph. So why do we need a revision of this algorithm? First of all I never mentioned its complexity, thus to understand why we do need a
revision let’s get again on the algorithm.
We have a dir... | 4 | [
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-0.0... | 5,561 | 5561 | |
Teaching the Fundamental Theorem of Calculus: A Historical Reflection - Standard Applications of the Integral
The usual applications of the integral, viewed as an additive function over the subintervals of \([a,b]\), are easy to obtain. The justification for the additive property can be accomplished through
the use of ... | 5 | [
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0.013122558... | 5,562 | 5562 | |
Calculus I Packet nearly complete!!! Just need help with these questions.
February 14th 2008, 12:51 PM #1
Junior Member
Joined
Dec 2006
From
On Earth.
Posts
38
Calculus I Packet nearly complete!!! Just need help with these questions.
Hey everyone! I've been working on this huge packet filled wit... | 5 | [
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-0.01904296... | 5,563 | 5563 | |
Basic Statistics and Data Analysis
An estimator $\hat{\theta}$ is sufficient if it make so much use of the information in the sample that no other estimator could extract from the sample, additional information about the population
parameter being estimated.
The sample mean $\overline{X}$ utilizes all the values inclu... | 4 | [
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0.0478515625,
... | 5,564 | 5564 | |
eigenvector q and cayley-hamilton
October 12th 2011, 03:31 PM #1
Newbie
eigenvector q and cayley-hamilton
Re: eigenvector q and cayley-hamilton
Let's go one at a time. For the second question, part a) you know that $p_A(A)=0$ but $p_A(x)=x^n+\cdots+\det(A)$ so this says $A^n+\cdots+\det(A)I=0$. How can you use ... | 5 | [
-0.08203125,
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0.049560546875,
-0.041259765625,
-0... | 5,565 | 5565 | |
How to Calculate the Emitter Current, I
How to Calculate the Emitter Current, Ie, of a Transistor
The emitter current, Ie, of a transistor is the amplified output current of a bipolar junction transistor.
There are several ways to find the emitter current, Ie, of a transistor. And it all depends on what information i... | 4 | [
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Definition of Limits
September 18th 2007, 04:48 PM #1
Newbie
Joined
Sep 2007
Posts
3
Definition of Limits
So i know the definition (the epsilon, delta one)... i know how to use, but when i'm given an exercise which i have to factorice (sp?) like for example (x^2 - 9) which turns to |(x+3)(x-3)| then
... | 4 | [
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-... | 5,567 | 5567 | |
Limits of Curves
June 26th 2009, 02:38 PM #1
Junior Member
Joined
May 2009
Posts
42
Limits of Curves
Find all values of 'alpha' for which the limit exists. For these values, evaluate the limit.
See the limit below...
Thanks
use the identity $2 \cos^2 \left(\frac{\pi}{4} - \frac{|x|^{\alpha... | 5 | [
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-0.... | 5,568 | 5568 | |
Dot Product
These are vectors:
They can be multiplied using the "Dot Product" (also see Cross Product).
Calculating
You can calculate the Dot Product of two vectors this way:
a · b = |a| × |b| × cos(θ)
Note: |a| means the magnitude (length) of vector a
(multiply the length of a times the length of b, then ... | 4 | [
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... | 5,569 | 5569 | |
chain rule problem, with 2 constants!
December 11th 2012, 04:40 AM
ameerulislam
chain rule problem, with 2 constants!
$\frac{d}{dw}{[a\cos^{2}\pi w +b\sin^{2}\pi w ]}$ (a,b constants)
How do I go about this?
The constant "a" or "b" independent from cos/sin here?..
Is this is correct?
$\frac{d... | 5 | [
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-0.... | 5,570 | 5570 | |
Applications of Pascal's Triangle
application of pascal triangle
====================
(x-1)^2 = x^2 +2*x+1 (1 2 1)
(x-1)^4 = x^4 +4*x^3+6*x^2+4*x + 1 (1 4 6 4 1)
Pascal's Triangle
One of the most interesting Number Patterns ... | 4 | [
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-... | 5,571 | 5571 | |
Page:LorentzGravitation1916.djvu/61
From Wikisource
This page has been
proofread
, but needs to be
validated
.
$\mathfrak{t}_{1}^{'4}=\mathfrak{t}_{2}^{'4}=\mathfrak{t}_{3}^{'4}=0;\ \mathfrak{t}_{4}^{'1}=\mathfrak{t}_{4}^{'2}=\mathfrak{t}_{4}^{'3}=0$
which means that in the system $\left(x_{1},x_{2},x_{3},x_{4}... | 4 | [
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0.012451171875... | 5,572 | 5572 | |
th
┌──────┬──────────────────────────────────────────────┬─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┬──┬──┐
│ Week │ Date │ Suggested reading of course material. ... | 4 | [
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Statistics/Testing Data/t-tests
From Wikibooks, open books for an open world
The t- test is the most powerful parametric test for calculating the significance of a small sample mean.
A one sample t-test has the following null hypothesis:
$H_0: \quad \mu=c$
where the Greek letter $\mu$ (mu) represents the population... | 5 | [
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0.03... | 5,574 | 5574 | |
Impact of antenna correlation on the performance of partial relay selection
Abstract
Antenna correlation is generally viewed as an obstacle to realize the desired performance of a wireless system. In this article, we investigate the performance of partial relay selection in the
presence of antenna correlation. We cons... | 4 | [
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Math Magic - Horizontal And Vertical Asymptotes And Discontinuities
Horizontal And Vertical Asymptotes And Discontinuities:
A. An asymptote is a line that the graph of a function approaches but never reaches. There are two main types of asymptotes: Horizontal and Vertical. (Note: There are others but number sense only... | 4 | [
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Simplivariate Models: Ideas and First Examples
Abstract
One of the new expanding areas in functional genomics is metabolomics: measuring the metabolome of an organism. Data being generated in metabolomics studies are very diverse in nature depending on
the design underlying the experiment. Traditionally, variation in ... | 4 | [
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-0.0319... | 5,577 | 5577 | |
Proof involving Lipschitz continuity with constant L
March 30th 2010, 10:21 PM #1
Junior Member
Joined
Dec 2009
Posts
30
Problem:
Prove that if the function f:[a,b]-->R is Lipschitz continuous with constant L then for every partition P of [a,b]
U(f,P)-L(f,P) <= ||P||*L*(b-a)
Okay so from L... | 5 | [
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-0.0... | 5,578 | 5578 | |
MATLAB
Hi All,
I want to calculate the parameter of modified gamma distribution with the maximum likelihood method (MLM). The equation of modified gamma distribution is:
f(D)=[(Lamda^(mu + 1))/gamma(mu +1)]*(D^mu)*exp(-Lambda*D) (1)
and the equation of lambda from MLE derivation is
Lambda = (mu + 1)/mean(D); (2)
... | 4 | [
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Factoring completely
Heidi
Guest
Factoring completely
#1. 3Y^3 - Y^2 -21Y +7
(3Y^3-Y^2) -(21Y +7)
y^2(3Y -1) -7(3Y -1)
Answer = (Y^2 -7)(3-1)^2
#2. T^3 -T^2- 16T +16
(T^3-T^2)-(16T-16)
T^2 (T-1) - 16(T-1)
T^2-16 (T+1)^2
(T-4)^2(T-1)^2
I hope you can understand what I mean...is my son on the right track with #!.... | 4 | [
0.00194549560546875,
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-0.01220703125,
0.158203125,
0.06982421875,
0.06396484375,
-0.010253... | 5,580 | 5580 | |
generate random points in any shaped polygon?
"Roger Stafford" <ellieandrogerxyzzy@mindspring.com.invalid> wrote in message <hv7ol1$k3n$1@fred.mathworks.com>...
> "Edwin " <onest30@gmail.com> wrote in message <hv7gk8$289$1@fred.mathworks.com>...
> > hello everybody,
> > anyone there knows of a way of generating random ... | 4 | [
-0.04833984375,
0.005615234375,
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0.00592041015625,
0.046630859375,
-0.01190185546875,
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-0.07373046875,
0.01422119140625,
-0.026611328125,
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0.007415771484375,
0.052001953125,
-0.0390625,
0.03515625,
-0.01300048828125,
-0.01416015625,
-0.00... | 5,581 | 5581 | |
SUM of N / 2^N
October 24th 2007, 12:32 PM #1
Newbie
Joined
Oct 2007
Posts
5
SUM of N / 2^N
Hello:
I wonder how do you prove that the SUM of N / 2^N (N=1 to infinity) is N / (N-1)^2.
Thanks!
Ops I am sorry. I wrote the question wrong.
It should be SUM (N / K^N) (N = 1 to infinity, K is... | 5 | [
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0.0625,
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0.06640625,
-0.06591796875,
0.0395... | 5,582 | 5582 | |
Wolfram Demonstrations Project
Proofs Using a Quadrature Method of Archimedes
Archimedes divided a segment of a parabola into increasingly many diminishing triangles. Having deduced the area of each triangle and observing that the areas formed a geometric sequence, he found
the area by summing the geometric series [1]... | 4 | [
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please help me i'll pay you what i can,need answers.
i understand but was hoping somebody might help me out.lol
i really feel bad for her and really want to help her but i don't have the math that i need that's under this.lol
hopefully she can get it without my help but i'd like it if i can still pull it off some how ... | 4 | [
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0.03564453125,
... | 5,584 | 5584 | |
Sparse linear algebra (
Find the least-squares solution to a large, sparse, linear system of equations.
The function solves Ax = b or min ||b - Ax||^2 or ``min ||Ax - b||^2 + d^2 ||x||^2.
The matrix A may be square or rectangular (over-determined or under-determined), and may have any rank.
1. Unsymm... | 4 | [
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Generators: The General Case
We now consider the problem of finding generators for $\mathbb{Z}_n^*$ for any $n$. Previously, we only studied generators for prime $n$. To generalize, we follow the most obvious strategy: first
consider prime powers, then use the Chinese Remainder Theorem to generalize.
Powers of Two
F... | 5 | [
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Taylor's polynomial for a 2 variables function
July 15th 2009, 09:15 PM
arbolis
Taylor's polynomial for a 2 variables function
I must say the veracity of the affirmation : The second degree Taylor's polynomial of $f(x,y)=e^{xy}$ around $(0,1)$ is $p(x,y)=1+xy+\frac{y^2}{2}$.
My attempt : I didn't use the $u=... | 5 | [
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Implicit differentiation
November 14th 2009, 05:55 PM
Archduke01
Implicit differentiation
Finding dy/dx for $y^2 = 5x^3$. Find equation of the tangent line to the graph at the given point. (1, sqrt 5)
Here's what I did;
$2yy' = 15x^2$
$y' = 15x^2 / 2y$
Where did I go wrong? Or, if it's right by... | 5 | [
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Exact Trig
This page is about the trigonometric functions of sine, cosine and tangent, what they are and how to find the exact values of many angles.
Exact Trigonometric Function Values
What angles have an exact expression for their sines, cosines and tangents? You might know that cos(60°)=1/2 and sin(60°)=√3/2 as w... | 5 | [
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Stability Properties of Underdominance in Finite Subdivided Populations
Abstract
In isolated populations underdominance leads to bistable evolutionary dynamics: below a certain mutant allele frequency the wildtype succeeds. Above this point, the potentially underdominant mutant
allele fixes. In subdivided populations ... | 4 | [
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roups
GROUPS
Excerpted from Beachy/Blair, Abstract Algebra, 2nd Ed., © 1996
Sections 3.7 and 3.8
Forward | Back | Table of Contents | About this document
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final value
March 16th 2010, 05:10 AM #1
Newbie
Joined
Mar 2010
Posts
5
final value
find final value of y(t)
d4/dt4 y(t) + 4 d3/dt3 y(t) + 3 d2/dt2 y(t) + 5 d/dt y(t) + y(t) = r(t)
y(t) output
r(t) input
thanks
The roots of the polynomial $s^{4} + 4\cdot s^{3} + 3\cdot s^{2} + 5\c... | 4 | [
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STEP maths I, II, III 1991 solutions
Here's another solution to the first bit of the vector / matrix question. It splits into two parts. The first part is actually pretty useful in general situations, and worth knowing IMHO. The 2nd
bit is just pretty.
Suppose OA intersects with BC. Then we can find with ... | 5 | [
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Digital Adjustment of DC-DC Converter Output Voltage in Portable Applications
Digital Adjustment of DC-DC Converter Output Voltage in Portable Applications
© Aug 06, 2002, Maxim Integrated Products, Inc.
Abstract: This tutorial discusses methods for digitally adjusting the output voltage of a DC-DC converter. The di... | 4 | [
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Example of Measurement
<< Previous Section Table of Contents The Polar Planimeter Page Numbers Next Section >>
CHAPTER IV.
Measurement of... | 4 | [
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sum of cosines
January 14th 2009, 02:23 AM #1
Member
Joined
Dec 2008
Posts
86
sum of cosines
I have the function: y(t) = (cos(300πt) + sin(500πt))^3
I need too expand the expression of y to get a sum of cosines with positive frequencies. Using
trigonometric identities find the frequencies of... | 5 | [
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Rethinking Pythagoras - 4a. Stretching the Truth (Poincaré Disc Model)
We define distances and circles in hyperbolic space analogously to how we did on the sphere, and assume that the reader is familiar with the Poincaré Disc Model of hyperbolic geometry, in particular,
its (distance-inducing) differential \(ds=2(dx^2+... | 4 | [
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Roots
Roots of Unity
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┯━━━━━━━━━━━━━━━━━━┓
┃ The square roots of unity │ 1 and −1 ┃
┠─────────────────────────────┼──────────────────┨
┃ The cube roots of unity │ 1 and ┃
┠─────────────────────────────┼──────────────────┨
┃ The quartic roots of unity │ 1, −1, i a... | 5 | [
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Factorising an equation
can someone show me how to go about factorising this please? (a.c^3)-(a.b^3)+(b.a^3)-(b.c^3)-(c.a^3)-(c.b^3) cheers
There are probably a million different ways to go about factoring pieces of it. I'm not sure there you can find any sort of complete factorization of it (a factorization that brea... | 4 | [
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