content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
slope of tangent
September 19th 2008, 03:21 PM #1
Member
Joined
May 2008
Posts
138
slope of tangent
$y=x-x^5$
find the slope of the tangent line to the curve at point (1,0)
slope =
$<br /> \frac{f(x)-f(a)}{x-a}<br />$
I'm a little confused on what 'a' equals, but going off my notes im... | 4 | [
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-0.10839843... | 44,000 | 44000 | |
Proof verification
March 2nd 2011, 04:15 PM #1
Junior Member
Joined
Feb 2011
Posts
66
Proof verification
I was recently presented with this problem:
$\mbox{Let ABCD be a parallelogram, where the diagonal BD is equal to the side AB. Show that}$
$\displaystyle{\frac{\mid{AD}\mid}{\mid{AC}\mid} < ... | 4 | [
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0.... | 44,001 | 44001 | |
The Zen of Gradient Descent
Ben Recht spoke about optimization a few days ago at the Simons Institute. His talk was a highly entertaining tour de force through about a semester of convex optimization. You should go watch it.
It’s easy to spend a semester of convex optimization on various guises of Gradient Descent alo... | 4 | [
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0.10351... | 44,002 | 44002 | |
AGN Emission Lines - H. Netzer
4.4. Radiative Transfer
The photoionization calculations described above are relatively straight forward, provided the internally produced radiation can freely escape the cloud. This is the case in most galactic nebulae,
and possibly also in AGN NLR clouds, but not in the BLR, where the ... | 4 | [
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Is "GOD" just another Equation? : Science & Technology - Page 2
Posts: 3137
Joined: Tue Sep 01, 2009 12:10 pm
Location: Neutral Zone
God doesn't fit into any equation because God can be 'all', 'nothing', consciousness, love, energy ... we will never know, never be able to measure this.
What does fit into ... | 4 | [
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Bohmian mechanics, a ludicrous caricature of Nature
Some people can't get used to the fact that classical physics in the most general sense – a class of theories that identify Nature with the objectively well-defined values of certain (classical)
degrees of freedom that are observable in principle and that evolve accor... | 4 | [
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The Magnetized Universe - M. Giovannini
5.2. Gauge fields in FRW Universes
In a FRW metric of the type (5.1) the evolution equations of the gauge fields are invariant under Weyl rescaling of the four-dimensional metric. This property is often named conformal invariance.
Consider, for simplicity, the evolution equation... | 4 | [
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... | 44,006 | 44006 | |
not commutative symmetric vs strong symmetric spaces
up vote 1 down vote favorite
Let M be a von Neumann algebra with semi-finite normal faithful trace $\tau$, $S(M)$ is space of all measurable operators introduced by I.Segal. For the self-adjoint measurable operator $X\eta M$
consider spectral function $\chi_{[s,\inf... | 4 | [
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Question about rotation and reference
March 10th 2011, 06:33 AM
fenestren
Question about rotation and reference
Hi.
Let's suppose to have a car with a reference system called Body-NED with its origin in the center of gravity of the car, Xb-axis (called North) pointing towards the front of the car, Yb-axis
... | 5 | [
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Solutions of $\zeta(s) = 1$, $\zeta(\zeta(s)) = 1$ near a line and a circle, respectively?
up vote 1 down vote favorite
Are solutions of $\zeta(s) = 1$ very near a line $\Re(s) = 54$ and solutions of $\zeta(\zeta(s)) = 1$ either on or very near a circle with center $\approx .00936$ tangent to $\Re(s) = 1$, known to
ex... | 4 | [
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Controlling mutagenesis
I've made some more progress on the problem of how to score USSs in simulated DNA fragments, and written it up in our work-in-progress document of how our model works. But here I want to get back to
thinking of how mutagenesis can be set up to allow control of both the base composition and the r... | 4 | [
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Directional Couplers - simulation
Directional Couplers [1]
THE QUADRATURE (90›) HYBRID
The Hybrid coupler is often made of microstrip or stripline as shown in Figure 1. The microstrip form is
also pictured in Figure 2. These... | 5 | [
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How to do such a partitioning?
up vote 0 down vote favorite
Assume: $$ P \subseteq \{1,2,\dots,N\},\quad |P| = K, \qquad x \in \mathbb{R}_+^K , \qquad w = e^{-j\frac{2\pi}N} $$ and, $$ f(l) = \sum_{i=1}^K \sum_{j=1}^K x_i x_j w^{(p_i-p_j)l} $$ I am going to
find $x$ and $P$ such that these equalities are satisfied: $$... | 4 | [
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Chapter03_xlsSol
Problems
Problem 3-4
Problem 3-6
Problem 3-7
Problem 3-12
Problem 3-14
Problem 3-16
Problem 3-4
Suppose the risk-free interest rate is 4%.
a. Having $200 today is equivalent to having what amount in one year?
Amount today $200.00
... | 5 | [
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polynomials,indices,logarithms
September 23rd 2008, 05:18 AM #1
Junior Member
Joined
Jun 2008
Posts
53
polynomials,indices,logarithms
1.
Given the identity
$x^4 + x + 1$ = ( $x^2+ A$)( $x^2-1$) + Bx + C
determine the numerical value of A ,B and C. By giving x a suitable value, find the remai... | 4 | [
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Diverse forms of energy
TBBT: The latest episode The Bakersfield Expedition of the Big Bang Theory attracted the record 20.0 million U.S. viewers. That's quite a number. The episode showed the boys in sci-fi costumes
going to a Comic Con and the girls accidentally plunging into a boy-like argument about sci-fi ... | 4 | [
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Introduction to Quasisymmetric Functions
In this document we briefly explain the quasisymmetric function bases and related functionality in Sage. We assume the reader is familar with the package SymmetricFunctions.
Quasisymmetric functions, denoted \(QSym\), form a subring of the power series ring in countably many v... | 5 | [
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4. Linear Inequalities
4. Linear Inequalities
Mathematics Grade 0 Teacher Guide
Linear Inequalities
?
Series overview
!
In this series, we build an understanding of the steps involved in solving linear inequalities, especially
R
when multiplying or dividing ... | 4 | [
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Math problem (cubic equation-related)
Find the exact value of x so that the equation http://www1.wolframalpha.com/Calcula...image/gif&s=42 has exactly 2 solutions when solved for a.
You mean, I take it, 2 distinct real solutions. In that case, the equation must be of the form $(a-u)^2(a-v)= a^3- a- x= 0$. for some u a... | 4 | [
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Ask Dr. SETI: Local Mean Sidereal Time
Ask Dr. SETI ®
Chapter 1: Astrophysics
Local Mean Sidereal Time
Dear Dr. SETI:
I am attempting to under... | 4 | [
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Patent US7318206 - Offset determination for measurement system matching
BACKGROUND OF THE INVENTION
1. Technical Field
The invention relates generally to measurement systems, and more particularly, to a method, system and program product to determine a dynamic offset for measurement system matching.
2. Background Ar... | 4 | [
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Need help with interest (Nominal)
February 27th 2010, 03:42 PM #1
Member
Joined
Apr 2009
Posts
83
I need help with how to calculate nominal annual rate.
1) A sum of $850 is invested for 10 years and the interest is compounded quarterly. There is $1000 in the account at the end of 10 years. What is th... | 4 | [
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of Statistics
Enhancing the Teaching of Statistics: Portfolio Theory, an Application of Statistics in Finance
Nicolas Christou
University of California, Los Angeles
Journal of Statistics Education Volume 16, Number 3 (2008), www.amstat.org/publications/jse/v16n3/christou.html
Copyright © 2008 by Nicolas Christou a... | 5 | [
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Take an open box, four sets of marbles (marbles in each set have the same size) and water. Place the marbles and... - Homework Help - eNotes.com
Take an open box, four sets of marbles (marbles in each set have the same size) and water. Place the marbles and water in the box and attempt the question- do larger marbles o... | 4 | [
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limit = e
Say that this limit exists and it equals A. Then $=\frac{1}{t}\ln(1+t)=\ln(A)$ The LHS is also $\frac{\ln(1+t)}{t}$ and when evaluating at t=0 you get 0/0, which is indeterminate and L'Hopitals can
be used. So $\ln(A)=\frac{\frac{1}{1+t}}{1}$ Try the limit again, and use algebra to solve for A again. edit: Th... | 5 | [
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Cubic Footage of a Tapered Log
Date: 08/07/2002 at 18:42:15
From: Christopher Watkins
Subject: Cubic Footage of a Tapered Log
Is there an equation that will calculate the cubic footage of a log
given the diameters of each end and the length?
Currently, I am using Smalian's Formula:
(Area1 + Area2)/2 x Length (ft)
Ar... | 4 | [
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... | 44,025 | 44025 | |
IntroductionMethodsData Fusion AlgorithmMap-Matching AlgorithmExperiments and MaterialsResults and DiscussionConclusionsConflicts of InterestReferencesFigures and Table
KF is used for data fusion in this study. KF addresses the general problem to estimate the state x of a discrete-time controlled process that is govern... | 4 | [
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Weekend Diversion: Triangles, a Puzzle, and Beauty
“Arithmetic! Algebra! Geometry! Grandiose trinity! Luminous triangle! Whoever has not known you is without sense!” -Comte de Lautréamont
When you think about it, it’s amazing that our physical Universe makes sense at all. The fact that we can observe what’s happe... | 4 | [
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Find Area of Rectangle
The perimeter and the diagonal of a rectangle are 18m and 5m respectively. Find its area.
Hello, magentarita! Is there a typo in the problem? As stated, it has no solution. The perimeter and the diagonal of a rectangle are 14m and 5m respectively. Find its area. Code: * - - - - - * | * |
| *5 | ... | 4 | [
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0.033935546875,
0.03369140625,
0.0242919921875,
0.030029296875,
-0.0252685546875,
0.0703125,
-0.04736328125,
-0.03759765625,
0.10009765625,
-0.01806640625,
0.0078125,
0.04443359375,
-0.05078125,
0.08251953125,
-0.050537109375,
-0.01348876953125,
-... | 44,028 | 44028 | |
An eventually different function adding no Solovay real nor dominating function?
up vote 5 down vote favorite
1
Definitions
I believe set theorists have studied all of the following three notions in the context of forcing extensions of a model of ZFC, $M$ (hopefully the terminology is the standard one).
1. A functi... | 5 | [
0.021484375,
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0.0274658203125,
0.01806640625,
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0.0947265625,
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0.0233154296875,
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0.04150390625,
-0.07128906... | 44,029 | 44029 | |
sdenisov
March 3, 2014.
If one considers the 2d Euler equation of incompressible inviscid fluids on the plane in the vorticity form and takes the initial data as the characteristic function of a certain domain, then the
Yudovich theory guarantees that the solution will exist globally and will be equal to the character... | 4 | [
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0.02734375,
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0.018310546875,
0.019... | 44,030 | 44030 | |
Electrical resistance
Electrical resistance is a measure of the degree to which an object opposes an electric current through it. The SI unit of electrical resistance is the ohm. Its reciprocal quantity is electrical
conductance measured in siemens. Electrical resistance shares some conceptual parallels with the mecha... | 4 | [
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0.0233154296875,
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0.0277099609375,
0.... | 44,031 | 44031 | |
Questions in polar and rectangular i want help
April 19th 2010, 11:37 AM #1
Senior Member
Joined
Oct 2009
Posts
290
Questions in polar and rectangular i want help
Hi
I want check my answer if correct or not
write in rectangular form
1) Z2 = 3e^(-60)i
2) z3 = 7.19e^-2.13i
3) z1 = roo... | 4 | [
-0.08544921875,
0.07177734375,
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0.0419921875,
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0.09814453125,
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0.064453125,
0.051513671875,
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... | 44,032 | 44032 | |
Crystal Structure
Chem 106: Geochemistry
Quantitative Project
Crystal Structure
INTRODUCTION AND PURPOSE
The solid state of matter generally consists of a regular arrangement of atoms, molecules, or ions.
A definite geometric form, called a ... | 4 | [
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0.044677734375,
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0.039794921875,
0.007415771484375,
-0.09375,
-0.0322265625,
0.02770996... | 44,033 | 44033 | |
`f(x)=( 3x^2+1) / (e^(2x))`
Find the derivative. - Homework Help - eNotes.com
`f(x)=( 3x^2+1) / (e^(2x))`
Find the derivative.
`f(x)= (3x^2+1)/(e^(2x))`
To find the derivative, we will use the qoutient rule.
`==gt If f(x)= u/v `
`==gt f'(x)= (u'v-uv')/(v^2) `
`==gt f'(x)=( (3x^2+1)'(e^(2x)) - (3x^2+1)(e^(2x))'... | 5 | [
0.007354736328125,
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0.0281982421875,
... | 44,034 | 44034 | |
Improper integral
Diverge? $<br /> \int_0^\infty {\frac{{\sin x}}<br /> {x}dx} <br /> <br />$ thanks
Hello, I'll try the proof I read a time ago... Let $I_{a,b}=\int_a^b \frac{\sin(x)}{x} ~dx$ Integrate by parts with : $u(x)=\frac 1x$ and $v'(x)=\sin(x)$. So we have $u'(x)=-\frac 1{x^2}$ and $v(x)=-
\cos(x)+c$, and we... | 5 | [
-0.0849609375,
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0.0235595703125,
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0.02880859375,
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0.11279296875,
... | 44,035 | 44035 | |
PageRank Example
Preliminaries
First we need to create C++ file for our application and configure it for compilation. This is easy.
1. Create directory pagerank under directory apps: cd apps mkdir pagerank
2. Create file CMakeLists.txt in the new directory and add following lines to it:
project(GraphLab)
add_graphl... | 4 | [
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0.039... | 44,036 | 44036 | |
MindCipher
May 10, 2013
According to their masthead, the MindCipher website is “a social repository of the world’s greatest brain teasers, logic puzzles and mental challenges.” Some of the problems lend themselves to brute
force computation, others are better solved with pencil-and-paper or solely with mental effort.... | 5 | [
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November 2
Today
Ok ...wel today in math class.. we went 2 da mac lab and did our statistics assignment... and before dat Ms Armstrong told us who got da highest mark on da test!! WAAAAAAAA i lost da bet now i owe
arvin 3 bucks.. oh well ... wel anywayzzz... dats about all da things ... | 4 | [
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projective Banach space
Context
Functional analysis
Overview diagrams
Basic concepts
Theorems
Topics in Functional Analysis
Contents
Very incomplete!
(I wasn’t sure how to title this page, so the name just mentions projective Banach(able) spaces, even though I hope to eventually get onto injective Banach(able) ... | 4 | [
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Morphism of Artin stacks
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Given a representable, surjective morphism of Artin stacks $\phi:\mathcal{F}\to\mathcal{G}$, is it true (like it happens for schemes) that $\dim\math... | 5 | [
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Linear Regression Package
OBSOLETE LINEAR REGRESSION PACKAGE TUTORIAL
As of Version 7.0, linear regression functionality is built into the Wolfram Language.
»
Linear Regression Package
The built-in function Fit finds a least-squares fit to a list of data as a linear combination of the specified basis functions. The... | 4 | [
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0.0185546875,
-... | 44,041 | 44041 | |
TRD: CNTY Exercise
The California county data set and the MSA data set are both derived from the REIS and contain the same variables. The same exercises that are appropriate for the MSA data set are also
appropriate here, and vice versa. A number of exercises are repeated, including the more difficult set of pr... | 4 | [
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0.04541015625,
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-0.01745605468... | 44,042 | 44042 | |
What's the sense in which A_\infty algebras are "deformable"?
up vote 7 down vote favorite
8
I realise this is a very vague question! I've heard people say that A[∞] algebras are the right homotopy-theoretic generalization of usual associative algebras, because you can deform them. What
exactly does this mean?
This r... | 4 | [
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Can a valid argument have a false conclusion?
March 22nd 2014, 08:31 AM
Gayelle
Can a valid argument have a false conclusion?
Can't understand the answer to this question. Please help? Question Suppose the conclusion of an argument is a contradiction. What can you conclude about the validity of the argument? Ans... | 4 | [
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... | 44,044 | 44044 | |
integral problmes
December 10th 2006, 04:49 PM #1
Newbie
Joined
Nov 2006
Posts
22
integral problmes
1. Find (f^-1)'(0) if:
integral sign x, 0 1+sin(sint)dt.
2. Find a function g such that:
integral sign x, 0 tg(t)dt= x+x^2
3. Find all continous functions f satisfying:
integral sign x,... | 5 | [
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... | 44,045 | 44045 | |
Mathematical Induction HELP!
March 29th 2010, 10:52 PM
Zel
Mathematical Induction HELP!
Use the principle of mathematical induction to prove the following:
cosθ + cos3θ + cos5θ ... + cos(2n-1)θ = [sin 2nθ]/[2sinθ] for all positive n
sinθ + sin3θ + sin5θ ... + sin(2n-1)θ = [1-cos2nθ]/[2sinθ] for all posi... | 5 | [
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0.0390625,
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-0.0546875,
-0.014892578125,
0.006652832031... | 44,046 | 44046 | |
Subject CT1 Financial Mathematics Core Technical Syllabus
abcd
Subject CT1
Financial Mathematics
Core Technical
Syllabus
for the 2009 Examinations
1 June 2008
The Faculty of Actuaries and
Institute of Actuaries
Subject CT1 — Financial Mathe... | 4 | [
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-0.03125,
... | 44,047 | 44047 | |
Rouché's theorem
May 12th 2011, 12:13 PM #1
Newbie
Joined
Mar 2011
Posts
7
Rouché's theorem
I have a question that is as follows,
Let $p(z)=z^{2}-ce^{-z}$ where $0<c<1$
Use Rouches Theorem to show that if $c<{\frac{1}{e}}$ then there are two zeros of p(z) within the unit circle.
Now i chos... | 4 | [
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-0.0... | 44,048 | 44048 | |
Program Latih Tubi SPM 2012 - Matematik Tambahan Kertas 2 - DOC
12 3472/2
TOPIC: CIRCULAR MEASURES
1. Diagram 6 shows a sector POQ of a circle, centre O. The point A lies on ... | 4 | [
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-0.03344726... | 44,049 | 44049 | |
a determinantal identity
up vote 14 down vote favorite
5
Dusan Pokorny and Jan Rataj have just posted a paper (http://arxiv.org/abs/1209.2305) in which they prove the identity $$ \det (A-B) = \frac 1{d!} \sum_{k=0}^d (-1)^k \binom dk \det((d-k)A + kB) $$
where $A,B$ are $d \times d$ matrices (this is the corrected ver... | 4 | [
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0.07177734375... | 44,050 | 44050 | |
Fundamental Orbital to Escape Velocity Relationship
Copyright © 2009 Joseph A. Rybczyk
Abstract
Presented herein is the entire orbital velocity to es... | 4 | [
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0... | 44,051 | 44051 | |
Streams and Delayed Evaluation
Next: Modularity of Functional Programs Up: Streams Previous: Exploiting the Stream Paradigm
Streams and Delayed Evaluation
The integral procedure at the end of the preceding section shows how we can use streams to model signal-processing systems that contain feedback loops. The ... | 4 | [
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-0.068359375,
0.0039672851562... | 44,052 | 44052 | |
Forming Equations Using Roots
August 12th 2009, 05:34 AM #1
Senior Member
Joined
Jul 2008
Posts
347
Hi
How do I do this question:
The equation 3x^3 + 6x^2 - 4x + 7 = 0 has roots a,b,c. Fnd the equation with roots a + b, a + c, b+ c.
I can do simple ones e.g. roots 1/a, 1/b, 1/c but I failed... | 4 | [
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0.09912109375,
-0.08447265625,
0.01647... | 44,053 | 44053 | |
Tunes
April 5th 2009, 08:48 AM
dxdy
Tunes
Bob cranked up his sound system. Initially, the volume is set to v>0.
At the end of each second, the control circuitry performs two adjustments:
1.) it resets the volume to the square root of its value
then,
2.) it increases the reset volume by the in... | 5 | [
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-0.00096893310546875,
... | 44,054 | 44054 | |
Minimum differences in vectors of naturals
up vote 1 down vote favorite
I have run into this problem (or something similar to it) a few times now and I am wondering if the answer is known.
Given an vector $s$ of integers let $d(s)$ be the minimum difference between any two integers in $s$, that is $$d(s) = \min_{i,j ... | 5 | [
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0.134765625,
... | 44,055 | 44055 | |
Integer factorization
1 Prime decomposition
2 Practical applications
3 Current state of the art
In number theory, the integer factorization problem is the problem of finding a
non-trivial divisor of a composite number; for example, given a number like 91,
th... | 4 | [
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... | 44,056 | 44056 | |
UM10155 from NXP - Page 2 - diyAudio
Since this is a non-linear system, you should not see the circuit as a static model. It's behaviour highly depends on the signal applied to it.
For example, in the extreme, try to add a carrier to the signal, at, say, 1Mhz
the ucd will actually oscillate at that fixed frequency, j... | 4 | [
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0.09375,
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Ten Ways to Check if an Integer Is a Power Of Two in C
http://www.exploringbinary.com/ten-ways-to-check-if-an-integer-is-a-power-of-two-in-c/
To write a program to check if an integer is a power of two, you could follow two basic strategies: check the number based on its decimal value, or check it based on its binary... | 4 | [
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0.... | 44,058 | 44058 | |
2d random walk on Z^2
February 5th 2010, 02:10 PM
ramdayal9
2d random walk on Z^2
Hi,
I'm stuck with this question about 2d random walks on Z^2
Let S_n = (X_n, Y_n) be a simple symmetric random walk in Z^2, starting from (0, 0), and set T = inf {n >= 0: max{|X_n|, |Y_n|} = 2}. Calculate E(T) (Expectatio... | 5 | [
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related rates problem
July 22nd 2006, 08:18 PM #1
Senior Member
Joined
Jul 2006
Posts
364
related rates problem
Hi, can you explain how i might solve this problem?
A tank initially holds 100 litres of water. A sugar solution containing 0.2 kg per litre is being run into the tank at 3 litres per minu... | 5 | [
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-0... | 44,060 | 44060 | |
The ‘easiest’ way to mix Sucralose powder and Neotame powder solutions! ;-) - Low Carb Friends
Hi OleHB,
Welcome to lowcarb Friends!
Hope I can be of some help... ;-)
This thread is based upon volume relationships (teaspoons, cups, or milliliters) which are different from weight relationships (ounces, pounds, or gr... | 4 | [
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Summation help (urgent)
can someone help me go through this question i cant figure it out, i need help asap $\sum_{r=1}^{\infty} \frac{1}{3^{r-2} r}$
all it says in my paper is Find $<br /> <br /> \sum_{r=1}^{\infty} \frac{1}{3^{r-2} r}<br />$ It carries 8 marks though, maybe you have to show both?
$\sum_{n=1}^{\inft... | 5 | [
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Inverse Trig Functions
September 11th 2009, 08:46 PM
Chicken Enchilada
Inverse Trig Functions
I'm not getting this stuff at all. Finding math help online is quite hard, so I hope you guys can help me.
How do you solve problems like these ones:
$sin(arccos(3/5) + arccos(5/13))$
and
$cos(2arcsi... | 4 | [
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Mueller Matrix Spectroscopy Using Chiroptic
Patent application title: Mueller Matrix Spectroscopy Using Chiroptic
Sign up to receive free email alerts when patent applications with chosen keywords are published SIGN UP
Abstract:
An optical metrology de... | 4 | [
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Statistic
Oil and Gas on Indian Reservations: Statistical Methods Help to Establish Value for Royalty Purposes
Mary S. Fowler
Worcester State College
Joseph B. Kadane
Carnegie Mellon University
Journal of Statistics Education Volume 14, Number 3 (2006), www.amstat.org/publications/jse/v14n3/kadane.html
Copyright ©... | 5 | [
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What Is the Resistance of a PASCO 750 Interface Box?What Is the Resistance of a PASCO 750 Interface Box?
For the latest in our ongoing series of post where I overthink simple questions, I’d like to present the longest single continuous experiment in Uncertain Principles history, which took six and a
half hours yesterda... | 4 | [
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... | 44,066 | 44066 | |
Introducing myself + recurrence problem
February 26th 2013, 11:13 AM #1
Newbie
Joined
Feb 2013
From
Romānia
Posts
1
Introducing myself + recurrence problem
Hi. I'm Paul from Romania. I joined this forum because i wanted to share my knowledge and learn from you all.
I have a small problem.
Is... | 5 | [
-0.1494140625,
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... | 44,067 | 44067 | |
From Polar to Cartersian Complex Numbers
Can anyone help me on the following question 1) By first converting to polar form evaluate: $\frac{(-1-j)^6}{(1+j)^4}$ P.S
Take the numerator and denominator as a pair of complex numbers. The modulus of both the numerator and denominator is $\sqrt{2}$ by Pythagoras' theorem. Th... | 5 | [
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nilotent proof
June 9th 2008, 05:09 PM #1
Junior Member
Joined
Apr 2008
Posts
47
nilotent proof
show that T is nilpotent if and only if 0 is the only eigenvalue of T.
I am having difficulty finding a way to solve this problem. I first solved it by assuming that T was diagonalizable because $T \in L(... | 5 | [
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neg. exponent?
December 15th 2009, 02:14 PM #1
Member
Joined
Sep 2009
Posts
162
neg. exponent?
Hi, I have an neg. exponent in my equation below. This is what the question asks for:
7. Solve each equation. Check for extraneous roots.
$2^x + 12(2)^{-x} = 7$
How would I solve this?
$a^{-... | 4 | [
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Topology as lambda-calculus
3 Topology as lambda-calculus
Now we shall introduce Abstract Stone Duality. It is a direct axiomatisation of general topology whose aim is to integrate it with computability theory and denotational semantics, without sacrificing
important properties such as the Heine–Borel theorem. T... | 4 | [
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Does the Tracy-Widom distribution describe the tails of eigenvalue densities of finite dimensional random matrices?
up vote 2 down vote favorite
The Tracy-Widom distribution (TW) describes the density of the largest eigenvalue of a random Hermitian matrix, when scaled and centered appropriately (depending on GOE/GUE/G... | 4 | [
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Design Charts for Seismic Bearing Capacity of Shallow Footings
Design Charts for Seismic Bearing Capacity of Shallow Footings Awad Ali Al-Karni King Saud University, College of Engineering, Civil Engineering Department P.O. Box 800, Riyadh, 11421 Saudi Arabia
Abstract Seismic lo... | 5 | [
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A priori bias in the Dembski-Marks representation
Dembski and Marks (2009b) recently published a minimalistic (and simplistic) representation of a search problem consisting of a search space $\Omega$ and a distinguished target set $T \subset \Omega$
(blogger reactions: 1, 2, 3, 4, 5, 7). From the discussion in the pap... | 4 | [
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Project "Project Euler"
Another really simple one.
2^(15) = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26.
What is the sum of the digits of the number 2^(1000)?
Actually this is the simplest problem so far. A simple conversion to a String and an iteration is all that is needed.
numberString = st... | 5 | [
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Multiplication of Decimals by addition only...
Enjoy an ad free experience by logging in. Not a member yet?
Register
... | 5 | [
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Algorithms and Complexity 2003 Assignment 2
Algorithms and Complexity 2003
Assignment 2
August 13, 2003
Due date: Wednesday August 20, 2003.
Total marks: 108.
1 Preliminaries [no marks for this, but you need
... | 4 | [
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... | 44,077 | 44077 | |
Math Forum Discussions - Re: A intuitive notion of set size.
Date: Jan 13, 2013 1:02 PM
Author: Zaljohar@gmail.com
Subject: Re: A intuitive notion of set size.
On Jan 13, 3:13 pm, Butch Malahide <fred.gal...@gmail.com> wrote:
> On Jan 13, 4:20 am, Zuhair <zaljo...@gmail.com> wrote:
>
> > For any two sets A,B:
> > [1] ... | 4 | [
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... | 44,078 | 44078 | |
Procedures as Arguments
Consider the following three procedures. The first computes the sum of the integers from a through b:
(define (sum-integers a b)
(if (> a b)
0
(+ a (sum-integers (+ a 1) b))))
The second computes the sum of the cubes of the integers in the given range:
(define (sum-cubes a b)... | 5 | [
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0.... | 44,079 | 44079 | |
Allowable stress design of beams simply supported beam design
Spreadsheets for Allowable Stress Design of Beams
Where to Find an Excel Spreadsheet for Allowable Stress Design of Beams
For an Excel spreadsheet for allowable stress design of beams, click here to visit our spreadsheet store. Obtain a convenient, easy t... | 4 | [
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Regression Analysis with PHP
Introduction:
Regression analysis is one of the core tools of statistics that helps investigate relationships between variables. If there is only a single explanatory variable, it is termed “Simple Regression” –
It is often difficult to come across such situations in real life. Computing ... | 4 | [
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Calculation of sound pressure level distribution and reverberation
Calculation of sound pressure level distribution and
reverberation in street canyons using the image source
method
This program calculates sound level distribution and reverberation in rectangular urban streets
c... | 4 | [
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... | 44,082 | 44082 | |
Re: The nth Prime
On May 16, 10:59 am, "Dirk Van de moortel" <dirkvandemoor...@ThankS-NO-
SperM.hotmail.com> wrote:
bill <b92...@xxxxxxxxx> wrote in message
53f02011-eca4-41b2-8059-a1e7630e3...@xxxxxxxxxxxxxxxxxxxxxxxxxxx
P(n) is the nth prime. There are n primes less than or equal to
P(... | 4 | [
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Equivariant cohomology of nilpotent orbits
up vote 3 down vote favorite
2
Let $\mathfrak{g}$ be a simple Lie algebra over $\mathbb{C}$, and let $N$ be a nilpotent orbit of $\mathfrak{g}$. What is the equivariant cohomology of its closure, $H^*_G(\overline{N})$, with
respect to the group $G$ for $\mathfrak{g}$?
Also, ... | 4 | [
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-0.0250244140625,... | 44,084 | 44084 | |
Math in CTE Lesson Plan Template - DOC
Math-in-CTE Lesson Plan
Lesson Title: Maximizing Profits Lesson # 7
Author(s): Phone Number(s): E-mail Address(es):
Skip Walker ... | 4 | [
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Calculus: Limits and Their Properties
Intro to limits and their properties. (Symbols were not working when set created therefore old school/other means used) :)
Limit does not exist
f(x) approaches different number from right side of c than it approaches from left side of c
Epsilon/Delta definition of a Limit
Let f... | 4 | [
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Volume 45,
• journal/journal.issue
• aip/jmp
• /content/aip/journal/jmp/45/5
• jmp.aip.org
1887
Volume 45, Issue 5, May 2004
Index of content:
• DYNAMICAL SYSTEMS
•
☆
Source: J. Math. Phys. 45, 1715 (2004); http://dx.doi.org/10.1063/1.1650047
View Description Hide De... | 4 | [
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composition functions
August 19th 2012, 07:50 PM
peter1991
composition functions
Hi again :
I have an exercise a little complicated and extensive,
Let $A= \mathbb{Z}\times{}\mathbb{Z}\times{}\mathbb{Z}.... .$ be the direct product of copies of $\mathbb{Z}$ indexed with the positive integers (so A is... | 4 | [
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Graphing quadratic equations
This lesson will help students quickly graph a quadratic equation. It will also help them to understand the purpose of completing the square.
A lesson plan for grades 9–12 Mathematics
Learning outcomes
Students will sketch the graph of a quadratic equation, and put a quadratic equation ... | 4 | [
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mechanics help , a block is on an incline need to find the period and amplitude of mo
March 21st 2008, 05:05 AM #1
Newbie
Joined
Feb 2008
Posts
4
mechanics help , a block is on an incline need to find the period and amplitude of mo
a block P of mass m lies on a smooth plane AB that is inclined at angle o... | 4 | [
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Functional Transformation
If $F(x)= sqrt(x)$, describe the transformation from $F(x)$to $G(x)$ if $G(x) = -f(-x+1)-7$
Last edited by votan; October 5th 2013 at 07:18 AM.
If, alternatively, you are looking for a description of the graph of the new function (i.e. shifts/rotations about lines/stretching/skewing/etc.), t... | 4 | [
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Circuits
Velocity and Acceleration
Group Problem 01 Name_______________________
We are going to begin exploring the motion of objects. To do this we will need a new language,
the language ... | 4 | [
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EXCESSIVE CURRENT DETECTION CONTROLS METHOD
Patent application title: EXCESSIVE CURRENT DETECTION CONTROLS METHOD
Sign up to receive free email alerts when patent applications with chosen keywords are published SIGN UP
Abstract:
A method for controllin... | 4 | [
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two column vers
Implementation of Image Deblurring Techniques in Java
Peter Chapman Computer Systems Lab 2008 Thomas Jefferson High School for Science and Technology Alexandria, Virginia June 2, 2008
Abstract
justments performed automatically after each shot, or perhaps, an avai... | 4 | [
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Math Help
February 6th 2008, 01:14 AM #1
Proof
Prove $\int^{a}_{0} f(x)dx = \int^{a}_{0}f(a-x)dx$
I managed to prove that LHS = F(a) -F(0) and RHS = F(0) - F(a).
Any help would be appreciated!
Hi,
you have nothing else to do than use the definitions:
LHS:
$\int_0^a f(x)dx = F(a) - F(... | 4 | [
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z%^ef$g73$5r(@&#!! - a few words about encryption
Contents
What is encryption? There are many definitions of the term - some simple, and some more detailed and complex. To put it simply, encryption is a method used to modify a readable text in such a way so
that it cannot be read by third parties but can be made read... | 5 | [
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singular homology
Context
Topology
Basic concepts
Theorems
Examples
Homological algebra
Contents
Idea
The singular homology of a topological space $X$ is the simplicial homology of its singular simplicial complex:
a singular $n$-chain on $X$ is a formal linear combination of singular simplices $\sigma : \Delta... | 4 | [
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Chevalley-Eilenberg algebra
Context
$\infty$-Lie theory
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Examples
$\infty$-Lie groupoids
$\infty$-Lie groups
$\infty$-Lie algebroids
$\infty$-Lie algebras
Contents
Idea
The ... | 4 | [
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nvesting
In the Third Quarter 2011 issue of Computerized Investing, I began a discussion of how investors can use a spreadsheet program to maximize the risk-return makeup of a two-stock portfolio. This
oversimplified example allowed us to walk through several functions of Excel to calculate the correlation and covarian... | 4 | [
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