content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Historical development of the beam bending equation M equals fS
By JohnWood1946@hotmail.com
If a beam cantilevers outward from a wall, then how large does it have to be in order to support a weight at its far end? This question was answered through experience and private design rules for
most of our history, without ... | 4 | [
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Solving a Quadratic Inequality using a Sign Chart - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Solving a Quadratic Inequality using a Sign Chart - Concept 12,263 views
Similar to when we solve quadratic equations, there are several ways we can s... | 4 | [
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nvesting
by CI Staff
Valuation metrics are quantitative valuations of companies that can be used to estimate the valuation of a security against its peers. In previous installments of Computerized Investing’s Fundamental
Focus, we discussed the ubiquitous price-earnings ratio and, similarly, the price-earnings relativ... | 4 | [
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Subgroup of Abelian group
August 28th 2007, 09:11 AM
tttcomrader
Subgroup of Abelian group
Prove that an Abelian group with two elements of order 2 must have a subgroup of order 4.
My proof:
Suppose that G is an Abelian group, and let $a,b \in G$ such that $<a> = 2, <b> = 2$, so we have $a^{2}=e, b^{2}... | 5 | [
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Express in terms of Asin(x + c)
October 25th 2013, 09:28 PM #3
Member
October 25th 2013, 09:15 PM #2
MHF Contributor
October 25th 2013, 08:44 PM #1
Member
Re: Express in terms of Asin(x + c)
Use the sum of angles formula for sin: $\sin(x+c) = \sin(x)\cos(c) + \cos(x)\sin(c)$.
Next, match terms. You have... | 4 | [
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Finding Duplicates
Here is an interesting problem given by Muthukrishnan during his talk in the New Horizons workshop.
Start with an array A of n+1 entries each consisting of an integer between 1 and n. By the pigeonhole principle there must be some i≠j and a w such that A(i)=A(j)=w. The goal is to find w. Depending
o... | 5 | [
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0.0... | 12,005 | 12005 | |
The version of Montel's theorem used in the proof of Jenkins-Strebel differential
up vote 2 down vote favorite
2
Hello,
I am afraid that my main question might be a bit too elementary, but still I ask :
In short, my question is "what is the version of Montel's theorem for a family of holomorphic maps from an open su... | 4 | [
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Using the delta-epsilon definition of the limit -- solve this problem, please!
September 26th 2008, 07:36 AM
taureau20
Using the delta-epsilon definition of the limit -- solve this problem, please!
Show that there exists a d>0, such that f has a limit at (0,0). Find the value of d.
f(x,y) = (x + y)/(x2 + 1) ... | 5 | [
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What is the algorithm for finding the center of a circle from three points?
up vote 12 down vote favorite
6
I have three points on the circumference of a circle:
pt A = (A.x, A.y); pt B = (B.x, B.y); pt C = (C.x, C.y);
How do I calculate the center of the circle?
Implementing it in Processing (Java).
I found the a... | 5 | [
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Angles and Trigonometry
Right Angles
A Right Angle is an angle equal to 90^o
Right angles are usually denoted by the little box symbol shown.
... | 4 | [
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Enhanced stochastic optimization algorithm for finding effective multi-target therapeutics
Abstract
Background
For treating a complex disease such as cancer, we need effective means to control the biological network that underlies the disease. However, biological networks are typically robust to external
perturbation... | 4 | [
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: a user-friendly program for powder diffraction indexing of columnar liquid crystals
1. Introduction
Liquid crystals (LCs) are often characterized by powder X-ray diffraction (PXRD) analysis since the molecular organization within the mesophase gives rise to well defined PXRD patterns. Surprisingly,
to the best of ou... | 4 | [
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problem with bearings
April 25th 2009, 06:18 PM
jonomantran
problem with bearings
From home George jogs 3.5km NE and then 8.2km SE. Find the bearing of his final position from the starting position.
The problem about all bearing questions is that i don't know how to find the conventional like sometimes u hav... | 4 | [
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circle geomtery
April 11th 2009, 01:25 PM #1
Super Member
Joined
Sep 2008
Posts
607
circle geomtery
A circle passes through the points (0 , -3) and (0, 3) and has radius 5. Find thier equations.
how do I go about doing this, if I try to find the mid-point or distance I just end up getting zer0 ?
... | 4 | [
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... | 12,013 | 12013 | |
Jeon's laboratory
GPS distance measurement between two coordinates using Arduino
I knew the dimension of the LCD (Nokia 5110) as 43mm x 43mm but it looked smaller than I thought. That’s good because I want to put it on top of the GPS (Holux M-1000).
In my previous post, I explained how to get coordinates, date & tim... | 4 | [
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finding the series representation
May 3rd 2010, 02:04 AM #1
Senior Member
Joined
Aug 2009
Posts
349
finding the series representation
ok the first problem i had to construct a power series and i feel pretty good about that one, but please check my work anyways. the second problem is the one really giving... | 5 | [
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Inferring serum proteolytic activity from LC-MS/MS data
Abstract
Background
In this paper we deal with modeling serum proteolysis process from tandem mass spectrometry data. The parameters of peptide degradation process inferred from LC-MS/MS data correspond directly to the
activity of specific enzymes present in the... | 4 | [
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homomorphismhomoios morphesimilar forma (from Greek homoios morphe, “similar form”), a special correspondence between the members (elements) of two algebraic systems, such as two groups, two rings,
or two fields. Two homomorphic systems have the same basic structure, and, while their elements and operations may appear ... | 4 | [
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& Answer
1. Submitted By: alex — October 7, 2008
+12 votes
344
2.
3. Submitted By: Umang Rustagi — October 8, 2008
+12 votes
693*Q+344
where Q= any whole number
4. Submitted By: evg — October 8, 2008
-2 votes
344
5. Submitted By: Ratnam — October 11, 2008
+7 votes... | 4 | [
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Talagrand's concentration inequality with limited independence
up vote 10 down vote favorite
5
Is there a version of Talagrand's concentration inequality known when the variables have limited independence. More precisely, Let $F:\mathbb{R}^n \rightarrow \mathbb{R}$ be a $1$-Lipschitz convex
function. Then, we know tha... | 5 | [
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[SciPy-user] solving Ax=b, known L: A = L L^T
Steve Schmerler elcorto@gmx....
Tue Aug 28 04:06:22 CDT 2007
dmitrey wrote:
> Hi all,
> suppose I have a system Ax=b and I know (Cholesky) triangular L: A = L L^T
> what's the simplest way to obtain x now?
> (I meant python code)
> is it solve(L^T, solve(L,b))?
> or I sho... | 5 | [
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eek
August 24, 1995
This Week's Finds in Mathematical Physics (Week 61)
John Baez
I'd like to return to the theme of octonions, which I began to explore in "week59". The recipe I described there, which starts with the real numbers, and then builds up the complex numbers,
quaternions, octonions, hexadecanions etc. by... | 4 | [
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of Cubic Bezier Curves
Computing the Arc Length
of Cubic Bezier Curves
... | 5 | [
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[SciPy-user] Fourier-sine transform with SciPy
Anne Archibald peridot.faceted@gmail....
Fri Jun 6 04:42:29 CDT 2008
2008/6/6 Lubos Vrbka <lists@vrbka.net>:
>> I don't think we have a function that computes discrete sine or cosine
>> transforms, but if f is real, you can get the sine transform you wrote
>> as the ima... | 4 | [
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Topic: Powers of a Length A , Products and Divisions, Gra... | 4 | [
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-0.1318359375,
0.040771484375,
-0.085449... | 12,024 | 12024 | |
Estimate Multiple Carrier Interference
Spurious signals created by the presence of multiple carriers in a given bandwidth are a limiting factor in determining a signal channel's dynamic range. These spurious outputs due to system
nonlinearities are the result of mixing of fundamental and harmonics of each of the signal... | 4 | [
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0.0625,
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0.018798828125,
0.0233154296875... | 12,025 | 12025 | |
LMI approach to robust stability and stabilization of nonlinear uncertain discrete-time systems with convex polytopic uncertainties
Abstract
This article addresses the robust stability for a class of nonlinear uncertain discrete-time systems with convex polytopic of uncertainties. The system to be considered is subjec... | 5 | [
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0.060791015625,
-0.021... | 12,026 | 12026 | |
Does the generalized $\Delta$-system lemma imply some weak version of the GCH?
up vote 11 down vote favorite
Let $\Delta(\kappa, \mu)$ be the statement: "let $F$ be a family of cardinality $\kappa$ of sets of cardinality less than $\mu$. Then there is a family $G \subset F$ of cardinality $\kappa$ and a set
$r$ such t... | 5 | [
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CCAPM I: The Basic Pricing Equation
In Asset Pricing Reading Group, Bubbles and Crashes, Economics, Finance on January 20, 2011 at 1:41 am
1. Introduction
Over a series of two posts, we will discuss the consumption capital asset pricing model (CCAPM) and some of its results concerning expected asset price returns. I... | 4 | [
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... | 12,028 | 12028 | |
balls approaching with velocities given only.
November 15th 2007, 09:01 PM #1
Senior Member
Joined
Jan 2007
Posts
477
balls approaching with velocities given only.
I'm not sure how this can be solved if their is only two velocities?
Two balls are approaching each other head-on. Their velocities are ... | 4 | [
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0.0... | 12,029 | 12029 | |
Bayesian parameter estimation for nonlinear modelling of biological pathways
Abstract
Background
The availability of temporal measurements on biological experiments has significantly promoted research areas in systems biology. To gain insight into the interaction and regulation of biological
systems, mathematical fra... | 4 | [
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A biclustering algorithm based on a Bicluster Enumeration Tree: application to DNA microarray data
Abstract
Background
In a number of domains, like in DNA microarray data analysis, we need to cluster simultaneously rows (genes) and columns (conditions) of a data matrix to identify groups of rows coherent with groups
... | 4 | [
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Publications
H Trottier, P Philippe
Keywords
complexity., deterministic modeling, dynamic, infectious diseases, medicine
Citation
H Trottier, P Philippe. Deterministic Modeling Of Infectious Diseases: Theory And Methods. The Internet Journal of Infectious Diseases. 2000 Volume 1 Number 2.
Abstract
This study aims... | 4 | [
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... | 12,032 | 12032 | |
Inverse of a hash function
I’ve used Thomas Wang’s integer hash functions for years for various purposes. Using techniques invented by Bob Jenkins for general hashing (e.g., hashes of strings), Wang derived several hash
specialized for fixed size integer input. His 64-bit version is
uint64_t hash(uint64_t key) {
ke... | 4 | [
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0.0135... | 12,033 | 12033 | |
Joel David Hamkins
• Y. Cheng, S. Friedman, and J. D. Hamkins, “Large cardinals need not be large in HOD.” (under review)
@ARTICLE{ChengFriedmanHamkins:LargeCardinalsNeedNotBeLargeInHOD,
author = {Yong Cheng and Sy-David Friedman and Joel David Hamkins},
title = {Large cardinals need not be large in {HOD... | 5 | [
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-0.01220703125,
-0.0021057128906... | 12,034 | 12034 | |
Homework Help
Posted by ant on Thursday, June 24, 2010 at 9:27am.
simplify: 5 / sqrt (7) - sqrt(2)
a) sqrt (7) - sqrt (2)
b) sqrt(7) + sqrt (2)
c) 5 sqrt((7) + sqrt (2))/ 9
d) 1
• algerba - Reiny, Thursday, June 24, 2010 at 10:00am
The way you typed it, none of these answers are correct,
BUT
if you... | 4 | [
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0.0302734375,
-0.067871... | 12,035 | 12035 | |
On the Fučík spectrum of the scalar p-Laplacian with indefinite integrable weights
Abstract
In this paper, we study the structure of the Fučík spectrum of Dirichlet and Neumann problems for the scalar p-Laplacian with indefinite weights . Besides the trivial horizontal lines and vertical
lines, it will be shown that... | 4 | [
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T
Dataplot Vol 1 Auxiliary Chapter
KOLMOGOROV SMIRNOV TWO SAMPLE
Name:
... KOLMOGOROV SMIRNOV TWO SAMPLE TEST
Type:
Purpose:
Perform a Kolmogorov-Smirnov two sample test that two data samples come from the same distribution. Note that we are not specifying what that common distribution is.
Description... | 5 | [
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... | 12,037 | 12037 | |
Maximal number of edges and triangular cells for n points in a triangular lattice
up vote 6 down vote favorite
Consider a subset of $n$ points in an equilateral triangular lattice. Draw all the edges between nearest-neighbor points.
What is the maximum, over all such subsets, of the number of edges? This sequence app... | 5 | [
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Joins of simplicial sets
up vote 7 down vote favorite
2
Why doesn't the join operation on the category of simplicial sets commute up to unique isomorphism? I mean, aren't products and coproducts commutative up to isomorphism? That leads me to conclude at
first glance that the join is commutative, but it's not. Recall,... | 4 | [
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Long Memory Process in Asset Returns with Multivariate GARCH Innovations
Economics Research International
Volume 2011 (2011), Article ID 564952, 15 pages
http://dx.doi.org/10.1155/2011/564952
Research Article
Long Memory Process in Asset Returns with Multivariate GARCH Innovations
GREQAM, Université de la Méditerran... | 4 | [
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(2^(ln x))/x antiderivative example
None
(2^(ln x))/x antiderivative example
Finding ∫(2^ln x)/x dx
Back
(2^(ln x))/x antiderivative example
Discussion and questions for this video
At around 4:50 onwards Sal shows that the anti derivative of e^au is (1/a)e^au. even though in reverse (taking the derivative) it s... | 5 | [
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Posts about analysis on Annoying Precision
Operations and Lawvere theories
Posted in category theory, differential geometry, functional analysis, topology, tagged abstract nonsense, adjoint functors, Lawvere theories, reconstruction theorems on June 9, 2013 | 11 Comments »
Groups are in particular sets equipped with ... | 4 | [
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... | 12,042 | 12042 | |
Efficient use of Choleski decomposition in R
up vote 1 down vote favorite
This question is related to this one and this one
I have two full rank matrices A[1], A[2] each of dimension p x p and a p-vector y.
These matrices are closely related in the sense that matrix A[2] is a rank one update of matrix A[1].
I'm int... | 4 | [
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erformance
Performance Python
This is an extension of the original article written by Prabhu Ramachandran. The original article can be found here. An addition to this article written by Travis Oliphant can be found at
blogspot.com.
A beginners guide to using Python for performance computing
A comparison of weave wi... | 4 | [
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0.056152... | 12,044 | 12044 | |
Can extremal matrices of subcones of psd matrices have low rank?
up vote 0 down vote favorite
Let $S$ be the cone of positive semidefinite symmetric real matrices of size $n\times n$. The cone $S$ spans a $d:=n(n+1)/2$ dimensional vector space.
Let $C\subset S$ be a subcone formed by intersecting $S$ with a plane $\P... | 4 | [
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A random effects variance shift model for detecting and accommodating outliers in meta-analysis
Abstract
Background
Meta-analysis typically involves combining the estimates from independent studies in order to estimate a parameter of interest across a population of studies. However, outliers often occur even under
th... | 4 | [
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calculus (gr 12)
Posted by Maria on Tuesday, May 14, 2013 at 11:00am.
the productivity of a person at work (on a scale of 0-10) is modeled by a cosine function: 5cos (pie/2t) +5, where t is in hours. If the person starts work at t=0, being 8:00 am, at what times is the
worker the least productive?
a) 12pm
B) 10 am a... | 4 | [
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Walt Schlender - Programming | Bootstrapping - Explorations in programming and bootstrapping
March 1st, 2013 by Walt
Degrees of freedom is a term which keeps coming up as I’m trying to understand probability distributions.
Degrees of freedom seem to have to do with calculations involving random numbers where say the ... | 5 | [
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CS276 Lecture 5: Encryption Using Pseudorandom Functions
Scribed by Manohar Jonnalagedda
Summary
Having introduced the notion of CPA security in the past lecture, we shall now see constructions that achieve it. Such constructions shall require either pseudorandom functions or pseudorandom
permutations. We shall see l... | 5 | [
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PARABOLA
ASSIGNMENT 11
BY
SHADRECK CH... | 4 | [
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Two Values of X
Date: 03/20/2002 at 00:13:28
From: Krystal
Subject: Word problem
Two numbers differ by 7 and the sum of their squares is 389. Find the
two numbers.
I set up the equation as 389 = (x) squared + (x-7) squared, but I
can't get two true answers. Can you help me?
Date: 03/20/2002 at 01:45:57
From: Doct... | 4 | [
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he Conic Sections
The Conic Sections in Polar Coordinates
This activity is an interactive study of the polar form of the equation for a conic section. Readers should be familiar with polar coordinates and triangle trigonometry. This activity is also a
vehicle for the introduction of the Geogebra, though no prior exper... | 4 | [
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... | 12,052 | 12052 | |
ur
K
Introduction
K is the executable notation at the heart of a high performance programming platform. It is designed for analyzing massive amounts of real-time and historical data – ideal for financial modelling.
K i... | 5 | [
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... | 12,053 | 12053 | |
Doubly-Even Magic Squares
Level: Beginner
Focus: Loops, Arrays, Methods
Doubly-Even Magic Squares Question
This programming exercise is a follow-on from Odd Magic Squares. You will need the program you made from that exercise or alternatively you could use the version that can be found on the Odd Magic
Squares solut... | 4 | [
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0... | 12,054 | 12054 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
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Here's the question you clicked on:
ilovenyc Group Title
Solve -3x + 1 > 4 and... | 4 | [
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-0.052... | 12,055 | 12055 | |
Sequences of Characters in Random Strings
Given a data file of randomly arranged characters consisting of
x A's, y B's and z C's, what is the probability that an A will be
followed by a B 0 times, 1 time, 2 times... ?
The number of distinct ways of arranging the x+y+z characters is
C(x+y+z,x)*C(y+z,y)*C(z,z). Each ... | 5 | [
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Is there a ring of integers except for Z, such that every extension of it is ramified?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
This is probably common knowledge, alas I have to confess my ignorance.
... | 5 | [
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0.036376953125,
-0.... | 12,057 | 12057 | |
2012 Election! Simulation and predictions. Obama wins 91% of simulated outcomes.
Original Code
* This simulation is inspired by the work of the blog FiveThirtyEight (http://fivethirtyeight.blogs.nytimes.com/).
* In order to make the simulation more interesting, I spent some time collecting real data.
* I have collec... | 4 | [
-0.045166015625,
-0.031494140625,
0.00958251953125,
0.005828857421875,
-0.003662109375,
0.03564453125,
-0.01092529296875,
-0.01611328125,
-0.00054168701171875,
0.029052734375,
-0.00799560546875,
-0.024169921875,
0.068359375,
-0.11572265625,
-0.044189453125,
0.0283203125,
0.0412597656... | 12,058 | 12058 | |
Hilbert Transform
[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
Hilbert Transform
Hello List,
Earlier today I asked two questions about the Hilbert Transform. From the response I now realize that I did not make myself very clear. The problem is a real one which I believe the mamalian audi... | 4 | [
-0.06396484375,
0.01324462890625,
0.001922607421875,
-0.006011962890625,
-0.01611328125,
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0.00182342529296875,
0.034912109375,
-0.024169921875,
0.0712890625,
-0.064453125,
-0.036865234375,
-0.049072265625,
0.00982666015625,
-0.07666015625,
-0.047607421875,
... | 12,059 | 12059 | |
Carmichael's Theorem, Lambda Function
Date: 06/11/2003 at 07:19:53
From: Rahul Radhakrishnan
Subject: Figuring out the last 8 digits of 9^9^9^9
Dear Dr. Math,
I saw in a magazine that using simple arithmetic properties one
could find the last 8 digits of 9^9^9^9. Could you please tell me
how?
Thank you,
Rahul Radha... | 5 | [
-0.026611328125,
0.0203857421875,
-0.0576171875,
-0.01513671875,
0.003143310546875,
0.03369140625,
0.02978515625,
0.08935546875,
-0.02734375,
-0.0283203125,
0.0308837890625,
0.035400390625,
0.006744384765625,
0.068359375,
0.00052642822265625,
0.004669189453125,
-0.0810546875,
0.034... | 12,060 | 12060 | |
How Do You Find The Dimensions Of A Rectangle If You Know The Perimeter
How Do You Find The Dimensions Of A Rectangle If You Know The Perimeter And The Area?
Answer:
All rectangles of a given area will have the same bounds,.Therefore knowing both will not help you to determine the dimensions.
Comment:
This is a que... | 4 | [
0.041259765625,
0.01214599609375,
-0.0223388671875,
0.034423828125,
-0.0137939453125,
0.0157470703125,
0.021240234375,
0.06982421875,
0.01519775390625,
-0.07666015625,
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0.025390625,
0.10107421875,
0.00689697265625,
0.0159912109375,
-0.01708984375,
0... | 12,061 | 12061 | |
urn
Turning the Tables: A t-Table for Today
Robert J. MacG. Dawson
Saint Mary's University
Journal of Statistics Education v.5, n.2 (1997)
Copyright (c) 1997 by Robert J. MacG. Dawson, all rights reserved. This text may be freely shared among individuals, but it may not be republished in any medium without express w... | 5 | [
-0.029541015625,
0.0556640625,
0.0118408203125,
-0.006927490234375,
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0.09326171875,
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0.150390625,
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0.01483154296875,
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0.0233154296875,
-0.005157470703125,
-0.0732421875,
0.01611328125,
-0.... | 12,062 | 12062 | |
Minimal number of generators of a homogeneous ideal (exercise in Harsthorne)
up vote 9 down vote favorite
7
In the very first chapter Hartshorne proposes the following seemingly trivial exercise (ex. I.2.17(ii) ):
Show that a strict complete intersection is a set theoretic complete intersection
Here are Hartshor... | 4 | [
0.0002651214599609375,
0.0234375,
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-0.0244140625,
-0.04... | 12,063 | 12063 | |
[Numpy-discussion] arctan2 with complex args
David Goldsmith David.L.Goldsmith@noaa....
Mon Apr 30 10:26:49 CDT 2007
lorenzo bolla wrote:
> hold on, david. the formula I posted previously from wolfram is
> ArcTan[x,y] with x or y complex: its the same of arctan2(x,y). arctan
> is another function (even though arcta... | 5 | [
-0.0478515625,
-0.047119140625,
0.0198974609375,
0.035400390625,
0.021240234375,
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0.109375,
0.050537109375,
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-0.0189208984375,
0.026611328125,
... | 12,064 | 12064 | |
Probability Q
"Write a program to predict, on average, how many tracks will be played before any of the previously played tracks is repeated" sorry thats the actual wording of the Q. i understand the 1/1000 chance
then theres another 1/1000 chance of getting the song again next time, meaning 1/1000 X 1/1000 chance of g... | 5 | [
-0.04638671875,
-0.041015625,
-0.0034637451171875,
-0.0096435546875,
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0.07177734375,
-0.0185546875,
0.0218505859375,
-0.034912109375,
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-0.061279296875,
-0.083984375,
0.044677734375,
-0.01092529296875,
-0... | 12,065 | 12065 | |
IGNOU MEC-003 Free Solved Assignment 2012
MEC-003: Quantitative Techniques
Assignment
... | 5 | [
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0.05810546875,
0.00958251953125,
-0.00115203857421875,
0.034912109375,
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0.07373046875,
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0.0458984375,
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0.00787353515625,
-0.034423828125,
0.0... | 12,066 | 12066 | |
Multiplying Binomials and Other Polynomials
Date: 04/16/2004 at 11:00:38
From: shirley
Subject: binomials
I have a hard time multiplying binomials properly, such as (2x + 5)(x
+ 7). I do not know what order the problem should be solved in.
Date: 04/18/2004 at 15:48:19
From: Doctor Floor
Subject: Re: binomials
Hi... | 4 | [
0.02099609375,
0.0213623046875,
0.0986328125,
0.0419921875,
-0.012451171875,
0.027587890625,
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-0.011962890625,
-0.07958984375,
0.1162109375,
0.015869140625,
-0.05517578125,
0.004547119140625,
0.010986328125,
-0.0439453125,
0.06689453125,
-0.042724609375,
0.00817871... | 12,067 | 12067 | |
Extensions of Banach spaces
up vote 1 down vote favorite
I am looking for an answer to the following questions:
Are there infinite-dimensional Banach spaces $X$ and $Y$ for which there are non-split extensions $0 \to X \to E_1 \to Y \to 0$ and $0 \to X \to E_2 \to Y \to 0$ such that $X$ is complemented in
$E_1$ but n... | 5 | [
0.0235595703125,
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0.076171875,
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0.0390625,
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0.15625,
0.064453125,
-0.038330078125,
-0.0146484375,
... | 12,068 | 12068 | |
A000096 - OEIS
A000096 n*(n+3)/2. 136
(Formerly M1356 N0522)
0, 2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119, 135, 152, 170, 189, 209, 230, 252, 275, 299, 324, 350, 377, 405, 434, 464, 495, 527, 560, 594, 629, 665, 702, 740, 779, 819, 860, 902, 945,
989, 1034, 1080, 1127, 1175, 1224... | 4 | [
-0.0245361328125,
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0.05517578125,
-0.02587890625,
0.06884765625,
-0.0654296875,
0.00909423828125,
-0.006805419921875,
0.003265380859375,
-0.0264892578125,
-0.0015106201171875,
0.0390625... | 12,069 | 12069 | |
The ABC of complementary products mergers
The ABC of complementary products mergers∗
Simon P. Anderson
University of Virginia, Department of Economics, 2015 Ivy Road, Charlottesville, VA, 22904, USA
... | 5 | [
0.030029296875,
-0.061279296875,
0.0213623046875,
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0.05029296875,
0.05029296875,
-0.01123046875,
0.0927734375,
0.0439453125,
-0.04931640625,
0.00238037109375,
0.01483154296875,
-0.00115966796875,
-0.048095703125,
0.0654296875,
-0.0228271484375,
-0.03173828125,
-0.0057... | 12,070 | 12070 | |
Program on Decimal to Roman Number Conversion [Method 2]
This is the Second Method of Converting a Decimal Number entered by the user into its Roman Equivalent. For Method 1, kindly Click Here: Decimal to Roman Conversion – Method 1
[Note: The number entered should be within the Range 1-3999]
For Brief Note on Roman ... | 4 | [
-0.0025787353515625,
0.01239013671875,
0.0010986328125,
-0.1181640625,
-0.13671875,
-0.056396484375,
0.0004405975341796875,
0.1357421875,
-0.07177734375,
-0.036376953125,
0.01300048828125,
-0.0751953125,
0.046142578125,
-0.0439453125,
-0.01495361328125,
-0.1572265625,
-0.034423828125... | 12,071 | 12071 | |
Ligand Field Transitions
When a metal is subjected to the perturbation of an octahedral field, the energies of the d-orbitals split into two groups, the lower energy t[2g], at -0.4Δ[o], and the higher energy e[g], at 0.6Δ
[o], where Δ[o] is the ligand field splitting parameter.
When electrons are put into these orbit... | 4 | [
-0.047119140625,
0.0208740234375,
0.0027923583984375,
0.0419921875,
0.012939453125,
-0.08837890625,
0.08349609375,
0.06005859375,
0.021240234375,
-0.0198974609375,
-0.0303955078125,
-0.02099609375,
-0.00004792213439941406,
-0.056396484375,
0.072265625,
0.04296875,
-0.0556640625,
-0... | 12,072 | 12072 | |
Derivitive Question
March 22nd 2006, 10:49 PM #1
Newbie
Joined
Mar 2006
Posts
4
Derivitive Question
Hi all. I am getting into the chain rule in my Calculus with Matrices business course. I've come across a problem, our system is all online, and i cannt figure it out. They examples they provided
were ... | 5 | [
0.00946044921875,
0.04638671875,
0.03857421875,
0.04296875,
0.039306640625,
-0.0086669921875,
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0.0027313232421875,
0.02392578125,
0.06103515625,
0.16015625,
-0.06298828125,
0.0230712890625,
0.078125,
-0.05517578125,
0.0185546875,
0.0478515625,
0.032470703125,
-0.022... | 12,073 | 12073 | |
relative entropy
Context
Measure and probability theory
Measure theory
Probability theory
Information geometry
Thermodynamics
Theorems
Contents
Idea
The notion of relative entropy of states is a generalization of the notion of entropy to a situation where the entropy of one state is measured “relative to” anot... | 4 | [
0.017578125,
-0.02197265625,
-0.0419921875,
-0.037353515625,
0.017822265625,
0.050048828125,
0.06591796875,
-0.0033111572265625,
0.1328125,
-0.02587890625,
0.0242919921875,
-0.00445556640625,
0.0947265625,
0.1064453125,
-0.0439453125,
-0.038818359375,
0.044189453125,
0.046875,
-0... | 12,074 | 12074 | |
Homework Help
Posted by Olivia on Sunday, November 25, 2012 at 8:02pm.
The derivative of a function is f'(x)=x(x+2)(x-5). Find the value of x at each point where f has a
(a) local maximum,
(b) local minimum, or
(c) point of inflection
• Math - Steve, Sunday, November 25, 2012 at 9:05pm
there are max/min at ... | 4 | [
-0.0361328125,
-0.0284423828125,
0.041748046875,
-0.076171875,
0.012939453125,
0.0361328125,
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0.09033203125,
-0.01470947265625,
0.042724609375,
0.08203125,
-0.033935546875,
0.027587890625,
0.0262451171875,
-0.0186767578125,
0.06640625,
-0.000713348388671875,
-0.046142... | 12,075 | 12075 | |
Pell Equation and Class numbers
May 9th 2010, 08:01 AM #1
Member
Joined
Nov 2009
Posts
169
Pell Equation and Class numbers
Consider quadratic forms $f(x,y) = \alpha x^2 + \beta xy +\gamma y^2$ for discriminants D. We define the (strict) class number $h(D)$ using matrices $M = \left( \begin{array}{ccc}<br... | 4 | [
-0.046630859375,
0.01275634765625,
-0.0167236328125,
-0.0751953125,
-0.025634765625,
0.08056640625,
0.0142822265625,
0.026123046875,
-0.04345703125,
-0.047607421875,
0.150390625,
0.0289306640625,
-0.0111083984375,
-0.056640625,
-0.0213623046875,
0.038330078125,
-0.06103515625,
-0.0... | 12,076 | 12076 | |
Factorization Made Easy - Part I
FACTORIZATION: AN INTRODUCTION -Part I
When a number is written as a product of its factors, it is said factorization of the number. Let us s... | 4 | [
0.109375,
-0.06591796875,
-0.0712890625,
-0.00159454345703125,
0.10595703125,
-0.02978515625,
0.050048828125,
0.058837890625,
-0.0322265625,
0.005706787109375,
-0.035888671875,
0.08740234375,
0.050537109375,
0.00055694580078125,
0.023681640625,
-0.03125,
-0.048583984375,
0.08056640... | 12,077 | 12077 | |
WebDiarios de Motocicleta
Hurah!!I've got some excellent news: I was co-awarded the 2012 Presburger Award, to be shared with Venkat Guruswami ,the young superstar of error correcting codes.
In short, the Presburger Award is the European "young-scientist award" in Theory.
It is given anually by the European Association ... | 4 | [
-0.0703125,
0.07666015625,
0.0048828125,
0.01397705078125,
-0.016845703125,
0.008056640625,
0.0108642578125,
0.041748046875,
-0.03564453125,
0.0009765625,
-0.0294189453125,
0.0174560546875,
-8.009374141693115e-7,
-0.006500244140625,
-0.07666015625,
0.05810546875,
-0.0208740234375,
... | 12,078 | 12078 | |
congruence on words: having the same (scattered) subwords of length at most n
up vote 20 down vote favorite
6
For a fixed finite alphabet $A=\{a,b,...\}$, write $x \sim_n y$ if the two words $x$ and $y$ have the same (scattered) subwords of length at most $n$. The relation $\sim_n$ is a congruence of finite
index and ... | 4 | [
-0.044677734375,
-0.043212890625,
-0.0135498046875,
-0.07861328125,
-0.0020294189453125,
0.043212890625,
0.0556640625,
-0.04052734375,
-0.0771484375,
-0.009765625,
0.043701171875,
0.03173828125,
0.0634765625,
-0.0072021484375,
-0.038818359375,
0.0498046875,
-0.049560546875,
-0.0546... | 12,079 | 12079 | |
crossed product algebra
Contents
Smash product algebra
Definition
Given a $k$-bialgebra $H$, and a left Hopf action $\triangleright$ of $H$ on a $k$-algebra $A$, one defines the crossed product algebra $A\sharp H$ (in Hopf algebra literature also called the smash
product algebra or Hopf smash product; distinguish fr... | 4 | [
-0.004364013671875,
-0.0966796875,
0.023681640625,
-0.07275390625,
-0.10498046875,
0.047119140625,
0.1025390625,
-0.0283203125,
-0.058349609375,
-0.004119873046875,
-0.0032501220703125,
-0.056396484375,
-0.01409912109375,
-0.047119140625,
0.0177001953125,
0.10107421875,
0.02209472656... | 12,080 | 12080 | |
Subspace Minimization
March 21st 2008, 03:50 PM #1
Newbie
Joined
Mar 2008
Posts
12
Let $f(x)$ be a $\mathcal{C}^1$ function and let $M$ be a subspace of $\mathbb{R}^n$. Suppose $x^\ast \in M$ minimizes $f(x)$ on $M$. Show $abla f(x^\ast) \in M^\perp$.
My only idea is to take any $x \in M$ and try to ... | 4 | [
0.02490234375,
-0.00009298324584960938,
0.0634765625,
0.044921875,
-0.03173828125,
0.1181640625,
0.0859375,
0.038818359375,
-0.046142578125,
0.050537109375,
0.045166015625,
-0.00946044921875,
0.058349609375,
-0.0228271484375,
0.0084228515625,
0.126953125,
0.033935546875,
-0.0245361... | 12,081 | 12081 | |
Relating Decimal Answers to Remainders
Date: 02/15/2002 at 06:35:39
From: HAROON SALEEM
Subject: Division and quotient
How to find the quotient and the remainder?
457 divided by 5 = 91.4 - how did this answer come, and why is it
decimal?
Date: 02/15/2002 at 12:37:00
From: Doctor Peterson
Subject: Re: Division an... | 4 | [
-0.045166015625,
0.0634765625,
0.043212890625,
0.006011962890625,
0.006561279296875,
-0.0174560546875,
-0.00994873046875,
0.06494140625,
0.006317138671875,
0.008544921875,
0.032470703125,
-0.07666015625,
-0.030029296875,
0.034423828125,
-0.034912109375,
-0.020263671875,
-0.052734375,... | 12,082 | 12082 | |
Math Forum Discussions - incomplete-Gamma-based zeta, Li, and Phi numerics
Date: Nov 19, 2012 4:55 PM
Author: clicliclic@freenet.de
Subject: incomplete-Gamma-based zeta, Li, and Phi numerics
I have looked into R.E. Crandall's formulae for the numerical evaluation
of the Riemann zeta function, the polylogarithm, and t... | 4 | [
-0.11572265625,
-0.035400390625,
0.045654296875,
0.0157470703125,
0.045166015625,
-0.026123046875,
-0.041748046875,
0.03564453125,
0.0255126953125,
-0.0189208984375,
-0.01544189453125,
0.0693359375,
0.02880859375,
-0.005340576171875,
-0.03369140625,
-0.0654296875,
-0.02197265625,
0... | 12,083 | 12083 | |
Monotonicity of complete homogeneous symmetric polynomials
up vote 4 down vote favorite
1
The complete homogeneous symmetric polynomials are defined as $$ h_k (x_1, \dots,x_n) = \sum_{1 \leq i_1 \leq i_2 \leq \cdots \leq i_k \leq n} x_{i_1} x_{i_2} \cdots x_{i_k}. $$ For example, $$ h_3
(x_1,x_2,x_3) = x_1^3 + x_2^3 +... | 5 | [
-0.026123046875,
-0.014404296875,
0.044921875,
-0.10546875,
-0.040283203125,
-0.07080078125,
-0.043701171875,
-0.046875,
-0.026123046875,
0.01214599609375,
-0.0262451171875,
-0.0206298828125,
0.0159912109375,
-0.0654296875,
0.018798828125,
0.0732421875,
0.043701171875,
0.0076904296... | 12,084 | 12084 | |
Extended Exercise: Interval Arithmetic
Next: Hierarchical Data and the Up: Introduction to Data Abstraction Previous: What Is Meant by
Alyssa P. Hacker is designing a system to help people solve engineering problems. One feature she wants to provide in her system is the ability to manipulate inexact quantities (... | 4 | [
-0.047119140625,
0.08349609375,
0.004119873046875,
-0.03125,
-0.06005859375,
-0.0791015625,
-0.06640625,
0.09521484375,
0.038330078125,
0.006744384765625,
0.002166748046875,
-0.05810546875,
0.126953125,
0.04736328125,
0.0322265625,
0.017578125,
-0.043701171875,
0.08251953125,
-0.... | 12,085 | 12085 | |
intermediate value theorem
Idea
The intermediate value theorem (IVT) is a fundamental principle of analysis which allows one to find a desired value by interpolation?. Roughly speaking, it says that if Papa Bear's porridge is too
hot and Mama Bear's porridge is too cold, then there must be some temperature of porridge... | 5 | [
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Explicit isomorphism between distributions and universal enveloping algebra
up vote 5 down vote favorite
2
The universal enveloping algebra of a Lie algebra $\mathfrak{g}$ is isomorphic to the algebra of distributions on the Lie group $G$ with support at the identity. The proof I have of this fact uses
the universal p... | 4 | [
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Triple integral problem
May 24th 2009, 09:05 AM #1
Member
Joined
Oct 2007
Posts
159
Triple integral problem
I need to set the limits of integration for :
The volume of the region between z = x and the surface z = x^2 and the planes y = 0 and y = 3
I am having trouble figuring these bounds!! I... | 5 | [
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str
You are currently browsing the tag archive for the ‘structure’ tag.
An abstract finite-dimensional complex Lie algebra, or Lie algebra for short, is a finite-dimensional complex vector space ${{\mathfrak g}}$ together with an anti-symmetric bilinear form ${[,] = [,]_
{\mathfrak g}: {\mathfrak g} \times {\mathfrak ... | 4 | [
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A, B are two points on a circle... Extending Student Thinking in Geometry
One of my stellar SAT students (who has been mentioned before) led me to develop the following extension of a challenging SAT-type question. Problems similar to this have appeared on previous SATs
and math contests. All geometry students can bene... | 4 | [
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Second Order Differential Equation
November 16th 2008, 01:08 AM
panda*
Second Order Differential Equation
Hi!
How do I determine the particular integral for second order differential equations with mixed f(x)s? Like, it's neither strictly polynomial, trigonometry or exponential.
Example of questions,
... | 5 | [
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What are the intermediate subfactors of the tensor product of two maximal subfactors?
up vote 7 down vote favorite
3
Let $(N_1 \subset M_1)$ and $(N_2 \subset M_2)$ be two maximal subfactors.
Their tensor product, the subfactor $(N_1 \otimes N_2 \subset M_1 \otimes M_2)$, admits four obvious intermediate subfactors :... | 5 | [
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Finding the Value of an Inverse Trig Function
Date: 05/08/2000 at 20:01:16
From: Annette Granados
Subject: Inverse Trigonometric Functions
Find the value for
cot[sin^-1(4/5)]
I don't understand how to use the formulas for this function.
Date: 05/09/2000 at 08:01:08
From: Doctor Jerry
Subject: Re: Inverse Tr... | 4 | [
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Infinity and Inequalities
Date: 06/05/2002 at 20:56:00
From: Latasha Carter
Subject: negative and positive infinity
Dear Dr. Math,
Hi, my name is Latasha Carter and I am having a problem
understanding negative and positive infinity. Can you help me
understand this problem with infinity?
We have just begun this less... | 4 | [
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Fluid Motion Simulations and Artwork
Contents
Home
Math Artwork
Gear Artwork
Physics
Simulations
Fluid Motion
Engineering
Hyperbolic
Artwork
Fractals
Hypercomplex
Fractals
Minimal
Surfaces
Rende... | 4 | [
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Perimeter of a Reuleaux Triangle
Associated Topics || Dr. Math Home || Search Dr. Math
Perimeter of a Reuleaux Triangle
... | 4 | [
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Exponential Growth & Compound Interest
Associated Topics || Dr. Math Home || Search Dr. Math
Exponential Growth & Compound Interest
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Questions on one to one Functions
Several questions with detailed solutions as well as exercises with answers on one to one functions are presented.
From the definition of one-to-one functions we can write that a given function f(x) is one-to-one
... | 4 | [
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Pythagorean Theorem and Cubes
Date: 02/14/98 at 13:38:38
From: Kelly Shott
Subject: Pythagorean Theorem as it applies to cubes
In a cube if a diagonal is drawn, how long must each side be using the
Pythagorean Theorem? Simple, right? However in the diagram the
diagonal is not simply drawn from one corner to the othe... | 4 | [
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