content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Volume 11,
Volume 11, Issue 5, May 1970
•
View Description Hide Description
New integral relations between Legendre functions of the first and second kind are derived. These functions figure as the basis functions of the irreducible representations of the homogeneous
Lorentz group, so that the derived... | 4 | [
-0.09033203125,
-0.0269775390625,
0.0927734375,
-0.00157928466796875,
0.0289306640625,
0.036865234375,
-0.0189208984375,
0.0009002685546875,
-0.0233154296875,
-0.06494140625,
0.1064453125,
0.0078125,
-0.07080078125,
-0.006134033203125,
-0.0098876953125,
-0.044921875,
-0.109375,
-0.... | 44,400 | 44400 | |
Finding regions where multi-variate polynomials are positive
up vote 1 down vote favorite
Given a constant $k \in \mathbb N$, and a set of $p$ multi-variate polynomials {$P_j:\mathbb N^n\to \mathbb Z$}$\_{j=1...p}$, with $P_j \not\equiv 0$.
Is the following true: There exists $n$ sets $S_1,\dots,S_n$, and $p$ constan... | 4 | [
-0.00909423828125,
-0.00958251953125,
0.0030517578125,
-0.048583984375,
0.01171875,
0.0478515625,
0.09130859375,
-0.0400390625,
-0.02197265625,
-0.06396484375,
-0.08984375,
-0.0032196044921875,
0.099609375,
-0.0186767578125,
0.005035400390625,
0.03369140625,
0.06396484375,
0.016845... | 44,401 | 44401 | |
PROBABILITY
1.
One card is drawn at random from a normal pack of 52 cards.
What is the probability of drawing (i) A red card? (ii) A black card? (iii) A heart? (iv) A picture card? (v) The ace of spades? A coin is tossed 3 times. What is the probability of tossing (i) Three head... | 4 | [
-0.01416015625,
0.0223388671875,
-0.07080078125,
-0.02392578125,
-0.03369140625,
0.055419921875,
0.014892578125,
-0.007598876953125,
0.0223388671875,
0.031494140625,
-0.015869140625,
-0.0032958984375,
-0.0255126953125,
-0.0098876953125,
0.02001953125,
0.00970458984375,
-0.02734375,
... | 44,402 | 44402 | |
Union of open sets proof
November 26th 2011, 02:00 PM #1
Junior Member
Joined
Apr 2010
Posts
37
Union of open sets proof
Problem: Prove that the union of any collection of open sets is open.
Is the following proof acceptable?
Proof: Let U' denote the collection of open sets and let U' = $\bigcu... | 4 | [
0.0673828125,
0.00341796875,
0.027099609375,
-0.017822265625,
0.0791015625,
0.0673828125,
0.04833984375,
-0.0260009765625,
-0.0625,
-0.042236328125,
-0.064453125,
-0.026123046875,
0.0927734375,
-0.01251220703125,
-0.01397705078125,
-0.0137939453125,
0.03662109375,
-0.028076171875,
... | 44,403 | 44403 | |
Introduction to reinforcement learning Reza Shadmehr
580.691 Learning Theory
Reza Shadmehr & Jörn Diedrichsen
Reinforcement Learning 1: Generalized policy iteration
In a given situation the action an organism performs can be followed by a certain outcome,... | 4 | [
-0.01312255859375,
-0.00592041015625,
0.015625,
0.0101318359375,
-0.0031890869140625,
0.06689453125,
0.029052734375,
-0.01373291015625,
0.0267333984375,
0.12890625,
-0.0184326171875,
0.0291748046875,
0.02197265625,
0.10498046875,
-0.0157470703125,
0.022705078125,
0.0027313232421875,
... | 44,404 | 44404 | |
Distributive Property Practice Exercises
"The Distributive Property" features a tutorial on how to use this property to simplify expressions. Refer to that article and "Combining Like Terms" for help in completing the following exercises.
Distributive Property Practice
1. -2(x + 1)
2. 2(5x + 3)
3. -3(x +7)
4. ... | 4 | [
-0.032470703125,
0.0517578125,
0.07275390625,
0.0034637451171875,
-0.0103759765625,
0.068359375,
0.087890625,
-0.049072265625,
-0.10595703125,
0.068359375,
0.00634765625,
-0.09228515625,
0.06591796875,
-0.019287109375,
0.01348876953125,
0.017578125,
-0.049072265625,
0.037841796875,... | 44,405 | 44405 | |
Color: the 1931 CIE color-matching functions and chromaticity chart
Introduction
The CIE chromaticy chart is one of the things we are headed for. Here is a black-and-white drawing of its boundary. I’ll show you later how I got it.
You should be able to find color versions of the CIE chromaticity chart (1931) all ov... | 4 | [
-0.08544921875,
0.0517578125,
-0.0272216796875,
-0.0108642578125,
-0.022216796875,
0.020751953125,
0.038818359375,
0.024658203125,
-0.00970458984375,
0.031005859375,
-0.03125,
-0.05517578125,
0.10546875,
-0.00469970703125,
-0.0595703125,
0.06640625,
-0.046142578125,
-0.0693359375,
... | 44,406 | 44406 | |
Help on class OLS in module pysal.spreg.ols:
class OLS(BaseOLS, pysal.spreg.user_output.DiagnosticBuilder)
| Ordinary least squares with results and diagnostics.
|
| Parameters
| ----------
| y : array
| nx1 array for dependent variable
| x : array
| ... | 5 | [
-0.0262451171875,
-0.0673828125,
-0.08642578125,
0.0634765625,
0.027587890625,
-0.0400390625,
0.0262451171875,
-0.000835418701171875,
-0.046630859375,
-0.06982421875,
-0.0213623046875,
0.024658203125,
0.01416015625,
-0.0732421875,
-0.05224609375,
0.03564453125,
-0.0184326171875,
-0... | 44,407 | 44407 | |
Black-Scholes
Black-Scholes
Games for suits. This post has no relevance in the greater scheme of things.
As a premise, consider that the financial industry needs instruments of wealth creation that work opposite to that of stocks. For example, when stock prices remain low, then something else else
should take up the... | 4 | [
-0.07080078125,
0.0245361328125,
-0.04443359375,
0.000850677490234375,
-0.0419921875,
0.029296875,
-0.0123291015625,
0.00286865234375,
0.01446533203125,
0.0380859375,
-0.040283203125,
0.0439453125,
0.0047607421875,
-0.028564453125,
-0.018310546875,
-0.01287841796875,
0.049072265625,
... | 44,408 | 44408 | |
AP calc AB- Volumes
Click here to go to the NEW Colleg... | 5 | [
0.0235595703125,
0.0030364990234375,
-0.0155029296875,
-0.024658203125,
-0.0859375,
-0.130859375,
-0.0296630859375,
0.042724609375,
0.04833984375,
0.061279296875,
0.050537109375,
0.0322265625,
0.037109375,
0.0400390625,
0.00457763671875,
-0.048583984375,
0.002105712890625,
0.000965... | 44,409 | 44409 | |
JustAnswer
1. A firm has targeted a 20% growth in sales this year. Last year's cash as a percent of
sales was 15%, accounts receivable 30%, and inventory 35%. What percentage growth in
current liabilities is required to support the growth in sales under the percent-of-sales
forec... | 5 | [
-0.012939453125,
0.00360107421875,
-0.0230712890625,
-0.006011962890625,
-0.05712890625,
0.016845703125,
-0.0244140625,
0.060302734375,
0.00494384765625,
0.04345703125,
0.03857421875,
-0.0205078125,
-0.002899169921875,
-0.026611328125,
-0.02685546875,
0.064453125,
-0.1005859375,
-0... | 44,410 | 44410 | |
Maximal and Prime Ideals
October 7th 2009, 06:53 PM
Coda202
Maximal and Prime Ideals
Letting R be a finite commutative ring with unity, show that all prime ideals of R are also maximal ideals of R.
I know that if an ideal, I, of R is maximal then R/I is a field and therefore an ID, which would make I a prim... | 5 | [
-0.0247802734375,
-0.005462646484375,
-0.026611328125,
-0.04736328125,
0.041015625,
-0.1513671875,
0.0634765625,
0.0908203125,
-0.04052734375,
-0.052490234375,
-0.1376953125,
0.1083984375,
0.12060546875,
0.0189208984375,
-0.0234375,
0.0146484375,
0.0830078125,
0.023193359375,
-0.... | 44,411 | 44411 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Math Forum » Discussions » Policy and News » geometry.ann... | 4 | [
-0.036376953125,
0.0419921875,
-0.05224609375,
0.053466796875,
-0.11474609375,
0.031494140625,
0.0023040771484375,
0.0654296875,
0.0157470703125,
-0.058837890625,
0.055419921875,
-0.0057373046875,
0.080078125,
-0.00201416015625,
0.02294921875,
-0.0167236328125,
0.04833984375,
-0.04... | 44,412 | 44412 | |
sklearn.covariance
sklearn.covariance.oas(X, assume_centered=False)¶
Estimate covariance with the Oracle Approximating Shrinkage algorithm.
X : array-like, shape (n_samples, n_features)
Data from which to compute the covariance estimate.
Parameters: assume_centered : bool... | 4 | [
0.0235595703125,
0.031982421875,
0.039306640625,
0.006195068359375,
0.0712890625,
-0.036865234375,
-0.0140380859375,
-0.017578125,
-0.002349853515625,
0.0281982421875,
0.0169677734375,
0.021728515625,
-0.03466796875,
-0.015625,
-0.0625,
-0.0263671875,
-0.0225830078125,
0.0137329101... | 44,413 | 44413 | |
Common Core Standards : CCSS.Math.Content.HSG-GMD.A.2
Common Core Standards: Math
Math.CCSS.Math.Content.HSG-GMD.A.2
2. Give an informal argument using Cavalieri's principle for the formulas for the volume of a sphere and other solid figures.
From ecosystems to the inner lives of cells, biology has instilled fear in... | 4 | [
-0.007354736328125,
0.0184326171875,
0.017333984375,
-0.05908203125,
-0.047607421875,
-0.07568359375,
-0.0830078125,
0.138671875,
0.0283203125,
0.1318359375,
-0.033935546875,
0.00946044921875,
0.002593994140625,
0.126953125,
0.00014400482177734375,
-0.10546875,
-0.052734375,
0.0883... | 44,414 | 44414 | |
linear
Linear Functions of Random Variables
It often happens that a random variable is the driver behind some cost function.
The random occurrence of defects results in cost of returned items.
The random variation of stock prices determines the pe... | 5 | [
0.033203125,
0.044677734375,
0.00909423828125,
-0.03564453125,
-0.04150390625,
0.029052734375,
0.040283203125,
0.036865234375,
0.09326171875,
0.0654296875,
0.07666015625,
0.1416015625,
0.02783203125,
-0.0283203125,
-0.032958984375,
-0.04638671875,
-0.0023956298828125,
0.02307128906... | 44,415 | 44415 | |
interest rates.
February 22nd 2011, 08:39 AM
candisweet
interest rates.
I'm not sure if this belongs here or not- I am taking a contemporary mathematics course this semester and I missed a day of class. The name of the title is Finding interest rates.
I already have the anwser, just need someone's help expl... | 4 | [
0.025634765625,
0.109375,
-0.031005859375,
-0.02294921875,
0.010986328125,
-0.0390625,
0.0001811981201171875,
0.08251953125,
-0.0250244140625,
0.064453125,
0.06494140625,
-0.03466796875,
-0.03564453125,
0.076171875,
-0.004150390625,
-0.031494140625,
-0.06396484375,
-0.023193359375,... | 44,416 | 44416 | |
My Piece de Resistance!
My Piece de Resistance!
May 1, 2001 12:00 PM, EDDIE CILETTI
advertisement
Polls
Mix Regional
The Mix Regional section for Mix's July 2014 issue focuses on Atlanta. Send us your studio news: updates, sessions, new rooms, club performances and installations. Let the Mix audience know what i... | 5 | [
-0.1220703125,
-0.00014495849609375,
0.052734375,
-0.004425048828125,
-0.01129150390625,
-0.00738525390625,
-0.0250244140625,
0.0732421875,
0.0026702880859375,
0.0235595703125,
0.0306396484375,
-0.054931640625,
0.0908203125,
-0.0218505859375,
-0.030517578125,
-0.034912109375,
0.07080... | 44,417 | 44417 | |
High codimension embeddings: classification
From Manifold Atlas
This page has not been refereed. The information given here might be incomplete or provisional.
[edit] 1 Introduction
According to Zeeman [1], the classical problems of topology are the following.
• Homeomorphism Problem: Classify $n$$ewcommand{\Z}{... | 4 | [
-0.11572265625,
0.037353515625,
-0.02294921875,
-0.015869140625,
-0.025634765625,
0.0869140625,
-0.035400390625,
-0.005584716796875,
-0.041015625,
-0.07763671875,
0.018798828125,
-0.039306640625,
-0.00933837890625,
0.053955078125,
-0.061767578125,
-0.03369140625,
-0.0576171875,
0.0... | 44,418 | 44418 | |
d
This article is a follow-up to ‘Optimal Bidding, Part 1. Behind the Scenes of ‘Google AdWords Bidding Tutorial’ ^[1]
There used to be this TV game show called “Card Sharks” where, in one portion, contestants were shown a playing card and then asked to guess whether the next card was going to be higher or lower in
v... | 5 | [
-0.08349609375,
-0.0167236328125,
-0.01556396484375,
-0.0380859375,
-0.0194091796875,
-0.035400390625,
0.044677734375,
0.0284423828125,
0.0556640625,
0.0057373046875,
-0.07763671875,
-0.0035552978515625,
0.052734375,
-0.0167236328125,
-0.018310546875,
-0.04296875,
0.10546875,
-0.02... | 44,419 | 44419 | |
er
Hexadecimal Number System
A big problem with the binary system is verbosity. To represent the value 202 requires eight binary digits.
The decimal version requires only three decimal digits and, thus, represents numbers much more compactly than does the binary numbering system. This fact was not lost on the enginee... | 4 | [
0.0654296875,
0.06640625,
-0.0927734375,
-0.0830078125,
-0.1025390625,
-0.0712890625,
-0.03955078125,
0.11767578125,
0.039794921875,
0.006256103515625,
0.01055908203125,
-0.02587890625,
0.049560546875,
0.03173828125,
0.041015625,
-0.076171875,
-0.0810546875,
-0.004547119140625,
-... | 44,420 | 44420 | |
Simplification of Boolean Functions
Introduction
You already know one method for simplifying Boolean expressions: Boolean algebra. Two Level Form of a Boolean Expression
There are two... | 5 | [
-0.01043701171875,
0.04931640625,
0.012451171875,
0.05419921875,
-0.0093994140625,
-0.08056640625,
-0.031982421875,
-0.052978515625,
-0.00897216796875,
0.04052734375,
-0.026611328125,
-0.0498046875,
0.052490234375,
0.031005859375,
0.038330078125,
0.08642578125,
-0.126953125,
0.0722... | 44,421 | 44421 | |
Conformational and rotational entropy and point group symmetry
The point group affects the free energy
The use of point group symmetry in quantum chemical calculations can speed up calculations significantly, but it is often difficult to input symmetric coordinates correctly so many people opt to run
calculations with... | 5 | [
-0.04052734375,
-0.0615234375,
-0.031494140625,
-0.0224609375,
0.033203125,
0.005828857421875,
-0.040283203125,
0.016357421875,
0.1474609375,
-0.0289306640625,
0.004974365234375,
-0.042724609375,
-0.025146484375,
-0.042236328125,
0.10498046875,
-0.0498046875,
-0.0296630859375,
0.04... | 44,422 | 44422 | |
Logarithmic Help
July 17th 2008, 04:50 PM #1
Newbie
Joined
Jul 2008
Posts
6
Logarithmic Help
I tried the following problem:
log (log x) = 1
I need to know if I did it right.
Problem 1:
log(log x) = 1
log x = e^1
log x = e
ANSWER: x = e^e
The second problem:
3^l... | 4 | [
-0.0042724609375,
-0.062255859375,
-0.07568359375,
-0.000202178955078125,
-0.0023956298828125,
-0.10498046875,
0.0986328125,
-0.08544921875,
-0.005218505859375,
0.00933837890625,
0.01708984375,
-0.078125,
0.01708984375,
0.06982421875,
0.12109375,
0.03271484375,
-0.158203125,
0.0527... | 44,423 | 44423 | |
Jet pump theory and efficiencies.
Here is some info I've been using to improve my Jetpump designs.
About the best way to tell if you have made a better pump is by measuring the static thrust as well as top boat speed. Though boat speed is also largely related to hull design if you dont design a
decent intake your boat... | 4 | [
-0.05224609375,
0.04541015625,
-0.00164031982421875,
0.00732421875,
-0.01904296875,
-0.00958251953125,
-0.042236328125,
0.0223388671875,
-0.09912109375,
-0.1220703125,
-0.056396484375,
0.0172119140625,
-0.0341796875,
0.0272216796875,
-0.0045166015625,
0.09814453125,
0.061279296875,
... | 44,424 | 44424 | |
Conservapedia
Solids
From Conservapedia
In calculus, solids are formed by rotating a curve around an axis and integrating to find the volume. Typically the integration is of slices cut vertically to the axis of the rotation that formed the
solid. Those slices are then integrated from one end of the solid to the oth... | 5 | [
0.04296875,
-0.054931640625,
0.01239013671875,
-0.00982666015625,
-0.03515625,
-0.109375,
-0.08935546875,
0.054931640625,
-0.003631591796875,
0.004119873046875,
-0.0419921875,
0.044921875,
0.016357421875,
0.02197265625,
-0.006622314453125,
-0.06201171875,
0.046630859375,
0.01049804... | 44,425 | 44425 | |
Forecast Rain Effects On Microwave Links
Propagation of electromagnetic (EM) waves through the air is difficult to predict, due to atmospheric effects. Raindrops, for example, can act as scatterers that attenuate and affect the polarization
of the propagating EM waves. Scattering theory has treated effects on the far-f... | 4 | [
0.0177001953125,
-0.000476837158203125,
0.09033203125,
-0.01483154296875,
0.10498046875,
-0.048583984375,
0.0145263671875,
0.0225830078125,
0.032470703125,
-0.03369140625,
-0.04443359375,
0.0230712890625,
0.0198974609375,
-0.03173828125,
-0.0179443359375,
-0.01190185546875,
0.0314941... | 44,426 | 44426 | |
The Quest for the Cosmological Parameters - M. Plionis
2.1. Distances of Extragalactic Objects
Our only means of obtaining information and therefore knowledge of the structure and dynamics of the Universe (on all different scales) are through the electromagnetic radiation that we receive.
Therefore it is of primary im... | 4 | [
0.005035400390625,
-0.09130859375,
0.002227783203125,
0.022216796875,
0.046142578125,
0.00017452239990234375,
-0.08203125,
0.09228515625,
0.0634765625,
-0.034912109375,
0.031982421875,
-0.0712890625,
0.02001953125,
-0.06640625,
-0.01092529296875,
-0.037353515625,
0.068359375,
-0.00... | 44,427 | 44427 | |
Lack-of-fit sum of squares
Talk0
34,135pages on
this wiki
Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Statistics: Sc... | 4 | [
0.0164794921875,
0.0703125,
-0.025634765625,
0.034423828125,
0.041015625,
0.0634765625,
-0.0228271484375,
0.06640625,
0.0390625,
0.04833984375,
0.029052734375,
-0.009033203125,
0.006500244140625,
-0.0159912109375,
-0.0439453125,
-0.041015625,
0.0213623046875,
-0.01904296875,
0.03... | 44,428 | 44428 | |
_1 x 0.50_ + _2 x 0
Economics 105: Statistics
• Any questions?
• Go over GH 4
Discrete Random Variables
• Take on a limited number of distinct values
• Each outcome has an associated probability
• We can represent the probability distribution function
in 3 ways
– ... | 5 | [
0.05126953125,
0.056640625,
0.02490234375,
-0.06298828125,
0.0263671875,
-0.06982421875,
0.07421875,
-0.00732421875,
0.031982421875,
0.0712890625,
0.035400390625,
-0.1494140625,
0.0654296875,
-0.028564453125,
0.043701171875,
0.00787353515625,
-0.0225830078125,
-0.0155029296875,
-... | 44,429 | 44429 | |
karhunen-Loeve expansion of Poisson process
up vote 3 down vote favorite
3
Let $X_t, t\geq 0$ be a Poisson process with rate parameter $\lambda$. Compute the karhunen-loeve expansion of $X$ in interval [0, T]. How about the KL expansion of the centered process $X_t-\lambda
t$?
The auto-correlation function of poisson... | 4 | [
-0.09423828125,
-0.027587890625,
0.03076171875,
-0.03515625,
-0.0322265625,
0.05908203125,
0.053955078125,
0.0179443359375,
0.08837890625,
0.016357421875,
0.010986328125,
0.083984375,
-0.042236328125,
-0.025146484375,
0.045654296875,
-0.03759765625,
0.0147705078125,
-0.0634765625,
... | 44,430 | 44430 | |
online
V. Adamchik 15-451 Algo
Online Algorithms
Introduction
So far in class, we have only considered the following algorithm design: we are... | 5 | [
-0.0361328125,
0.05322265625,
-0.0771484375,
0.00128173828125,
-0.020263671875,
-0.09765625,
0.0218505859375,
0.0157470703125,
-0.0027923583984375,
0.0164794921875,
-0.064453125,
0.0673828125,
-0.01263427734375,
-0.09521484375,
-0.0537109375,
0.00506591796875,
0.10693359375,
-0.006... | 44,431 | 44431 | |
Is there a class of simplicial sets whose weak homotopy type is preserved by symmetrization?
up vote 4 down vote favorite
1
We have the categories, $S$, of simplicial sets and $SS$, of symmetric simplicial sets (whose simplices are unordered). There are functors:
$H:S\to SS$ forgetting the ordering on simplices and
... | 4 | [
0.018310546875,
-0.02734375,
0.040283203125,
-0.06884765625,
-0.03955078125,
0.0693359375,
-0.07666015625,
0.01507568359375,
0.005828857421875,
-0.0034942626953125,
0.00482177734375,
0.0380859375,
0.0089111328125,
0.0014801025390625,
0.0791015625,
-0.026611328125,
0.027587890625,
0... | 44,432 | 44432 | |
Phase and Group Velocity
Introduction
Phase and group velocity are two important and related concepts in wave mechanics. They arise in quantum mechanics in the time development of the state function for the continuous case, i.e. wave
packets.
Discussion
Harmonic Waves and Phase Velocity
A one-dimensional harmonic... | 4 | [
-0.060302734375,
0.010498046875,
0.021728515625,
0.004669189453125,
-0.064453125,
0.060791015625,
-0.04736328125,
-0.057373046875,
0.04736328125,
-0.02099609375,
0.06689453125,
-0.034423828125,
0.0159912109375,
-0.0595703125,
0.10986328125,
-0.056640625,
-0.04736328125,
-0.03833007... | 44,433 | 44433 | |
Fading Communications Channel Estimation And Compensation - Patent 6680987
United States Patent: 6680987
( 1 of 1 )
United States Patent
6,680,987
Beidas
, et al.
January 20, 2004
Fading communications channel estimation and compensation
... | 4 | [
-0.1015625,
0.04638671875,
0.035888671875,
0.0294189453125,
-0.02978515625,
0.0118408203125,
0.043701171875,
0.01153564453125,
0.031982421875,
-0.0074462890625,
-0.08251953125,
-0.00933837890625,
0.1240234375,
-0.1318359375,
-0.03955078125,
0.03515625,
0.08251953125,
0.05322265625,... | 44,434 | 44434 | |
How to Solve Special Right Triangles | eHow
There are two main types of special right triangles: the isosceles right triangle and the 30-60-90 triangle. Solving them can mean finding the value of a side, an angle or multiple sides and angles.
By understanding the ratios of the sides to each other and to the angles, you... | 4 | [
-0.0283203125,
0.0634765625,
-0.045654296875,
0.0245361328125,
-0.0634765625,
-0.002899169921875,
-0.10205078125,
0.035888671875,
-0.035888671875,
0.000301361083984375,
0.0791015625,
-0.03466796875,
-0.0267333984375,
0.07470703125,
0.078125,
-0.07666015625,
-0.09619140625,
0.047363... | 44,435 | 44435 | |
The Reference Frame
Topology
is an important branch of mathematics that studies all the "qualitative" or "discrete" properties of continuous objects such as manifolds, i.e. all the properties that aren't changed by any
continuous transformations except for the singular (infinitely extreme) ones.
In this sense, top... | 4 | [
0.00872802734375,
-0.0908203125,
-0.10595703125,
-0.049560546875,
0.01080322265625,
-0.00201416015625,
-0.0166015625,
-0.02490234375,
0.1396484375,
-0.006866455078125,
-0.049072265625,
0.06640625,
-0.00921630859375,
-0.001983642578125,
0.005401611328125,
-0.047607421875,
0.0476074218... | 44,436 | 44436 | |
Volume 35,
Volume 35, Issue 3, March 1994
•
View Description Hide Description
An approach to the calculation of the Abelian axial anomaly within the dimensional regularization is proposed. This approach allows one to make all computations consistently in the framework of a
perturbation theory to any n... | 4 | [
-0.10498046875,
0.0181884765625,
0.03369140625,
0.0458984375,
-0.0869140625,
-0.0186767578125,
0.01495361328125,
0.01953125,
0.02734375,
-0.09423828125,
0.115234375,
0.041748046875,
-0.0146484375,
-0.07470703125,
-0.054931640625,
0.0361328125,
-0.109375,
0.01495361328125,
-0.0668... | 44,437 | 44437 | |
Why $1^\infty != 1$
A debate that came up recently in some of my work was over the right way to define $1^\infty$. Many people say that since $1^n = 1$ for any integer $n$, then $1^\infty = 1$ also. That's a very
reasonable position, but when we start using more powerful mathematics, it's not good enough any more.
... | 5 | [
-0.029052734375,
-0.041259765625,
-0.126953125,
0.06787109375,
-0.0201416015625,
-0.06494140625,
0.00982666015625,
-0.00897216796875,
0.07421875,
0.0191650390625,
-0.08447265625,
-0.007354736328125,
0.02099609375,
0.057373046875,
0.037353515625,
0.0213623046875,
-0.0291748046875,
-... | 44,438 | 44438 | |
mpgeo
Mass Point Geometry (Barycentric Coordinates)
Tom Rike
Berkeley Math Circle January 9, 2000
1 History and Sources
My original intention, when I mentioned this as possib... | 5 | [
-0.05224609375,
-0.021240234375,
-0.0289306640625,
-0.0185546875,
-0.076171875,
-0.040771484375,
0.032958984375,
0.06787109375,
0.05126953125,
-0.0177001953125,
0.027099609375,
0.032470703125,
-0.004669189453125,
-0.06396484375,
-0.01446533203125,
0.0162353515625,
-0.009033203125,
... | 44,439 | 44439 | |
MnGCA :: View topic - calculating distance
Author Message
SirPoonga Posted: Wed Jun 09, 2004 10:23 pm Post subject: calculating distance ... | 4 | [
0.00531005859375,
-0.022216796875,
-0.0118408203125,
-0.06494140625,
-0.07080078125,
-0.0234375,
-0.0830078125,
0.099609375,
-0.057373046875,
-0.00830078125,
0.00156402587890625,
-0.043212890625,
0.0024261474609375,
-0.001434326171875,
-0.06396484375,
0.007110595703125,
0.01263427734... | 44,440 | 44440 | |
Chapter 23 MANAGING RISK WITH DERIVATIVES FIs can use derivatives to manage interest rate credit and FX risk Spot Market Cash transactions for immediate delivery 1 3 days of commodities
Chapter 23 - MANAGING RISK WITH DERIVATIVES
FIs can use derivatives to manage interest rate, ... | 5 | [
-0.0220947265625,
-0.049560546875,
-0.05615234375,
0.03955078125,
-0.01104736328125,
0.0057373046875,
-0.059814453125,
0.09375,
0.0260009765625,
0.03564453125,
0.0380859375,
0.03662109375,
-0.00927734375,
0.07470703125,
0.07958984375,
-0.05712890625,
-0.032470703125,
0.007263183593... | 44,441 | 44441 | |
Power Quality Enhancement using Shunt Active Power Filter Based on Particle Swarm Optimization
INTRODUCTION
Recent wide increase of power electronic equipment has caused an augment of the harmonic disturbances in the power systems. The nonlinear loads draw harmonic and reactive power components of current
from ac main... | 4 | [
-0.0244140625,
0.06494140625,
0.0322265625,
-0.0213623046875,
-0.039794921875,
0.01531982421875,
0.0159912109375,
-0.00518798828125,
-0.042724609375,
0.0986328125,
-0.00823974609375,
0.0174560546875,
0.0264892578125,
-0.1435546875,
0.0224609375,
0.09912109375,
0.026123046875,
0.042... | 44,442 | 44442 | |
Regression toward the mean
Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Statistics: Scientific method · Research methods... | 4 | [
0.0147705078125,
0.037841796875,
-0.037841796875,
0.043701171875,
0.000453948974609375,
0.0152587890625,
-0.08154296875,
0.07763671875,
0.06640625,
0.07470703125,
-0.03955078125,
0.068359375,
0.00946044921875,
-0.011962890625,
-0.04638671875,
-0.0673828125,
-0.007080078125,
0.01574... | 44,443 | 44443 | |
an
Math::NumSeq::PlanePathCoord -- sequence of coordinate values from a PlanePath module
use Math::NumSeq::PlanePathCoord;
my $seq = Math::NumSeq::PlanePathCoord->new
(planepath => 'SquareSpiral',
coordinate_type => 'X');
my ($i, $value) = $seq->next;
This is a tie-in to make a NumSeq se... | 4 | [
0.020263671875,
-0.07470703125,
-0.0419921875,
-0.01544189453125,
-0.039306640625,
0.068359375,
0.08740234375,
-0.01202392578125,
0.04052734375,
-0.0289306640625,
-0.003936767578125,
-0.0137939453125,
0.0235595703125,
0.04150390625,
-0.05029296875,
0.07470703125,
-0.01318359375,
0.... | 44,444 | 44444 | |
Colussi algorithm
Next: Galil-Giancarlo algorithm Up: ESMAJ Prev: Simon algorithm
• refinement of the Knuth, Morris and Pratt algorithm;
• partitions the set of pattern positions into two disjoint subsets; the positions in the first set are scanned from left to right and when no mismatch occurs the positions ... | 4 | [
-0.036376953125,
0.031494140625,
0.041015625,
-0.08544921875,
-0.056884765625,
-0.06494140625,
-0.057373046875,
0.0201416015625,
0.0030517578125,
-0.03564453125,
-0.024658203125,
0.083984375,
0.054931640625,
-0.1064453125,
-0.12158203125,
-0.045654296875,
0.03076171875,
0.040039062... | 44,445 | 44445 | |
[SOLVED] Prove that a^p is congruent to b^p (mod p^2) if the same is true mod p
October 5th 2009, 08:46 AM #1
Senior Member
Joined
Feb 2008
Posts
410
[SOLVED] Prove that a^p is congruent to b^p (mod p^2) if the same is true mod p
For any prime $p$, if $a^p\equiv b^p\;(\text{mod } p)$, prove that $a^p\equ... | 5 | [
-0.0019378662109375,
0.0634765625,
0.052978515625,
0.03466796875,
0.007537841796875,
0.039306640625,
0.0634765625,
-0.002532958984375,
0.03173828125,
-0.041015625,
0.0255126953125,
0.0673828125,
-0.0181884765625,
0.07470703125,
0.0103759765625,
0.020263671875,
-0.06884765625,
0.024... | 44,446 | 44446 | |
Max Planck's Derivation of the Blackbody Radiation Law
Max Planck's Derivation
of the
... | 4 | [
-0.0361328125,
0.07275390625,
0.00168609619140625,
0.1025390625,
-0.027587890625,
-0.004547119140625,
-0.0003509521484375,
0.08837890625,
-0.0084228515625,
0.0267333984375,
0.0849609375,
-0.068359375,
0.025146484375,
0.0159912109375,
0.0125732421875,
0.0189208984375,
0.0224609375,
... | 44,447 | 44447 | |
Using properties of natural logarithms simplify: f(x)=ln(x^3)-lnx - Homework Help - eNotes.com
Using properties of natural logarithms simplify: f(x)=ln(x^3)-lnx
The function f(x) = ln x^3 - ln x
Use the property of logarithm ln x^3 = 3*ln x
ln x^3 - ln x
= 3*ln x - ln x
= 2*ln x
The function f(x) = ln x^3 - ln x ... | 4 | [
0.044921875,
0.004608154296875,
-0.01446533203125,
0.0115966796875,
-0.013916015625,
-0.09521484375,
0.03173828125,
0.00102996826171875,
0.034912109375,
0.052978515625,
0.08740234375,
-0.060302734375,
-0.000850677490234375,
0.035888671875,
0.07373046875,
0.04052734375,
-0.146484375,
... | 44,448 | 44448 | |
A Better Mathematical Model of Viral Marketing
This is the second part of a four part series of blog posts on viral marketing. In part 1, I discuss the faulty assumptions in the current models of viral marketing. In part 3, I show the weird
dynamics of viral marketing in a growing market. In part 4, I’ll discuss the e... | 4 | [
-0.051513671875,
-0.099609375,
-0.01953125,
0.00823974609375,
0.020263671875,
0.04345703125,
-0.0216064453125,
0.04541015625,
0.0240478515625,
0.0019378662109375,
0.06494140625,
0.0869140625,
0.07080078125,
0.037353515625,
0.0098876953125,
-0.08642578125,
-0.007537841796875,
-0.005... | 44,449 | 44449 | |
[SOLVED] Proof divisible by 64
April 12th 2005, 06:41 PM #1
Tatanka
Guest
[SOLVED] Proof divisible by 64
Can someone point me in the right direction of solving the following problem:
Prove that for any postive integer n, the value of the expression 3^(2n+2)-8n-9 is divisible by 64.
Tatanka
Can someo... | 4 | [
-0.12353515625,
0.06787109375,
-0.0361328125,
-0.00104522705078125,
0.07080078125,
0.036376953125,
0.01202392578125,
0.037353515625,
-0.041259765625,
-0.0003604888916015625,
-0.008056640625,
-0.09619140625,
-0.01544189453125,
0.03369140625,
0.0185546875,
-0.0390625,
-0.07763671875,
... | 44,450 | 44450 | |
Linear Equations in Slope Intercept Form Worksheet
1.
What are the $x$ and $y$ intercepts of the line in the graph?
a. $x$-intercept is - 2 and $y$-intercept is 2
b. $x$-intercept is - 2 and $y$-intercept is - 2
c. $x$-intercept is 2 and $y$-intercept is - 2
d. $x$-intercept is 2 and $y$-intercept is 2
... | 4 | [
-0.03466796875,
-0.020751953125,
-0.005035400390625,
-0.058837890625,
0.07666015625,
0.0247802734375,
0.0216064453125,
0.05078125,
-0.038330078125,
0.061767578125,
0.06396484375,
-0.05078125,
-0.003631591796875,
0.0223388671875,
-0.00445556640625,
0.13671875,
-0.1044921875,
-0.0524... | 44,451 | 44451 | |
the
CASE STUDY: Acid Rain
Environmental Science Main Page
Source:
"Consider a Spherical Cow", John Harte. Narrative and case study design by R... | 4 | [
-0.0045166015625,
0.003997802734375,
0.08837890625,
0.036376953125,
0.10205078125,
0.0361328125,
0.0634765625,
0.0380859375,
0.01806640625,
0.036865234375,
0.0079345703125,
-0.068359375,
0.03271484375,
-0.0146484375,
-0.053955078125,
0.031494140625,
-0.053955078125,
-0.042724609375... | 44,452 | 44452 | |
Classical WavefunctionsClassical Wavefunctions
Right now I’m on the 4th floor of the physics building. If I walk down the hall to the balcony overlooking the atrium, I could drop a bouncy ball and watch its trajectory. It’ll fall to the ground,
bounce up to some fraction of its initial height, and repeat the process wi... | 5 | [
-0.0264892578125,
-0.01953125,
0.04296875,
0.008544921875,
0.003387451171875,
0.016357421875,
-0.0341796875,
0.040771484375,
-0.0125732421875,
-0.0024566650390625,
-0.0213623046875,
-0.01324462890625,
-0.0859375,
-0.00909423828125,
0.017333984375,
-0.0400390625,
0.043212890625,
-0.... | 44,453 | 44453 | |
Bayesian Bootstrap Filter Approach for GPS/INS integration
Khalid TOUIL1 , Abderrahim GHADI2
1
a
FSTT-Abdelmalek Essaˆ di University, Morocco, khalid.t... | 4 | [
-0.02001953125,
-0.0235595703125,
0.050048828125,
-0.109375,
-0.01519775390625,
-0.08203125,
0.006011962890625,
0.05615234375,
-0.051025390625,
-0.024169921875,
0.0546875,
0.03857421875,
0.10009765625,
-0.01904296875,
-0.06494140625,
-0.027099609375,
0.00897216796875,
0.07177734375... | 44,454 | 44454 | |
Nonuniqueness of -1/12
I’ve been asked to give an example of how the sum of the natural numbers could lead to another value in the comments to my previous post so I thought it may be of general interest to more people.
Consider again $S=1+2+3+4\dots$ to be the sum of the natural numbers. The video in the previous sli... | 4 | [
-0.0703125,
-0.0191650390625,
0.0096435546875,
0.03564453125,
0.06201171875,
-0.0693359375,
-0.00518798828125,
0.0478515625,
0.08349609375,
-0.0791015625,
-0.08349609375,
0.07763671875,
0.055908203125,
-0.051513671875,
-0.07275390625,
-0.1171875,
0.0810546875,
-0.0169677734375,
0... | 44,455 | 44455 | |
Partial sums of the Chu--Vandermonde identity
up vote 2 down vote favorite
I am interested in finding a lower bound of the sum: $$\sum_{i=0}^d \left(\genfrac{}{}{0pt}{}{n}{i}\right) \left(\genfrac{}{}{0pt}{}{m}{k-i}\right)$$ when $d < k$ (and assuming both $n\geq k$, $m\geq
k$). When $d=k$ this sum is equal to $$\left... | 4 | [
-0.021484375,
-0.0279541015625,
-0.01068115234375,
-0.038818359375,
-0.023193359375,
-0.03369140625,
0.008544921875,
0.044189453125,
0.049560546875,
-0.033935546875,
-0.045166015625,
-0.015380859375,
0.0247802734375,
-0.0859375,
-0.03515625,
0.06640625,
0.12451171875,
0.0654296875,... | 44,456 | 44456 | |
Math 102 Midterm Test
1. Find the quotient and reminder using long division.
^4 + 1 and the remainder is zero
2. Find the quotient using the synthetic division
^4 + x^3 + 4x^2 + 4x + 4 and the remainder is
3. List all the possible rational zeros given by the Rational Zeros Theorem.
T(x) = 12x^5 + 6x^3 + 2x – 8
Let p... | 5 | [
0.01458740234375,
0.03955078125,
0.0038299560546875,
0.0028228759765625,
-0.0189208984375,
0.019775390625,
0.03759765625,
0.055419921875,
0.0439453125,
-0.035400390625,
0.0184326171875,
-0.0194091796875,
0.0859375,
0.064453125,
-0.044189453125,
-0.0022430419921875,
-0.03466796875,
... | 44,457 | 44457 | |
A Practical Guide to Support Vec
A Practical Guide to Support Vector Classification
Chih-Wei Hsu, Chih-Chung Chang, and Chih-Jen Lin Department of Computer Science and Information Engineering National Taiwan University Taipei 106, Taiwan (cjlin@csie.ntu.edu.tw)
Abstract Support ve... | 4 | [
-0.056640625,
-0.061767578125,
-0.006805419921875,
-0.025634765625,
0.02783203125,
0.021240234375,
0.03857421875,
0.032958984375,
-0.1025390625,
-0.0198974609375,
-0.033203125,
0.03515625,
0.0634765625,
-0.0361328125,
-0.0267333984375,
-0.008544921875,
0.02734375,
0.01513671875,
... | 44,458 | 44458 | |
Dual Curves
Today we think about plane curves. But first a bit on projective space. Recall that the Grassmannian is the parameter space of $k$-planes in $n$-dimensional space, and so $\mathbb{P}^n=Gr(1,n+1)$. We
noted at the time that $Gr(k,n)\cong Gr(n-k,n)$. So that means that we also get a projective space $Gr(n,n+1... | 4 | [
-0.080078125,
-0.0361328125,
-0.0196533203125,
-0.0281982421875,
-0.0419921875,
0.0003376007080078125,
0.0089111328125,
-0.00046539306640625,
0.018310546875,
-0.01123046875,
-0.0126953125,
0.016845703125,
-0.1357421875,
-0.040283203125,
-0.00714111328125,
0.059326171875,
-0.040283203... | 44,459 | 44459 | |
How to Calculate the Wiper Voltage of a Digital Potentiometer
How to Calculate the Wiper Voltage of a Digital Potentiometer
By: Bill Laumeister, Strategic Applications Engineer
© Sep 27, 2008, Maxim Integrated Products, Inc.
Abstract: The MAX5481/MAX5483 data sheet provides a complicated formula for calculating wipe... | 4 | [
-0.00555419921875,
0.0380859375,
0.01507568359375,
-0.038330078125,
-0.033447265625,
-0.02294921875,
-0.017822265625,
0.08984375,
0.053955078125,
-0.0155029296875,
-0.0086669921875,
0.032958984375,
-0.0220947265625,
0.0093994140625,
-0.11328125,
-0.06396484375,
-0.0257568359375,
0.... | 44,460 | 44460 | |
Closed-Loop System Identification using OBF-ARMAX Model
INTRODUCTION
The stringent environmental and safety requirements and the growing competition in the global market have put a tremendous challenge on process industries. On the other hand, the rapid development in
computer and software technology, the advancement ... | 4 | [
-0.0262451171875,
-0.0152587890625,
-0.0673828125,
-0.04052734375,
-0.0184326171875,
-0.0291748046875,
0.006683349609375,
0.12109375,
0.0079345703125,
0.032470703125,
-0.031982421875,
0.06298828125,
0.0556640625,
-0.045166015625,
-0.126953125,
-0.01708984375,
-0.0155029296875,
-0.0... | 44,461 | 44461 | |
How To Understand Combinations Using Multiplication
Get the Math, Better Explained eBook and turn Huh? to Aha!
Multiplication is a wonderful little operation. Depending on the context, it can
And today we’ll see yet another use: listing combinations.
Revisiting multiplication has a few uses:
• It demystifies o... | 4 | [
0.000942230224609375,
0.0166015625,
-0.04736328125,
-0.0264892578125,
-0.080078125,
-0.052490234375,
0.00830078125,
0.0174560546875,
0.0712890625,
0.054931640625,
0.005157470703125,
0.080078125,
0.01953125,
0.01324462890625,
0.00677490234375,
0.068359375,
-0.08935546875,
0.13769531... | 44,462 | 44462 | |
Stirling formula
From Encyclopedia of Mathematics
2010 Mathematics Subject Classification: Primary: 33B15 [MSN][ZBL]
$$ \newcommand{\abs}[1]{\left|#1\right|} \newcommand{\Re}{\mathrm{Re}} $$ An asymptotic representation which provides approximate values of the factorials $n! = 1 \ldots n$ and of the gamma-function
f... | 4 | [
-0.055419921875,
-0.052490234375,
-0.0791015625,
0.01177978515625,
-0.01373291015625,
-0.03466796875,
0.0279541015625,
0.04541015625,
0.05224609375,
-0.00262451171875,
-0.01312255859375,
0.042236328125,
0.07568359375,
-0.00927734375,
-0.01397705078125,
-0.034423828125,
0.04052734375,... | 44,463 | 44463 | |
The Geometry of the Binomial Theorem
The binomial theorem gives a famous algebraic formula for the sum of two numbers raised to a power. There is a corresponding geometric expression for the volume of an n-dimensional cube with each
edge ... | 4 | [
0.026611328125,
0.059814453125,
0.01434326171875,
0.052001953125,
-0.0947265625,
0.005401611328125,
-0.00811767578125,
-0.001861572265625,
0.083984375,
0.0260009765625,
-0.08837890625,
0.043212890625,
-0.0059814453125,
0.05517578125,
-0.011962890625,
0.0517578125,
-0.036376953125,
... | 44,464 | 44464 | |
Dyson formula
Contents
Idea
The Dyson formula is an expression for the solution of the Schrödinger equation in time dependent quantum mechanics.
It expresses the parallel transport of the Hamiltonian operator regarded as a Hermitian-operator valued 1-form on the time axis.
Definition
In time-dependent quantum mech... | 4 | [
-0.107421875,
-0.0263671875,
0.023681640625,
0.00830078125,
-0.00958251953125,
0.07958984375,
-0.03466796875,
0.005340576171875,
0.05126953125,
0.00701904296875,
0.0498046875,
-0.0299072265625,
-0.015380859375,
0.0498046875,
0.044677734375,
0.002899169921875,
-0.03857421875,
-0.011... | 44,465 | 44465 | |
October
Putting oracle forcing into context
$\sigma$-closed
$\Downarrow$
uberoracle-proper $\Rightarrow$ strong $\bar{M}$-proper $\Longrightarrow$ proper
$\Rightarrow$ $\bar{M}$-proper
$\Uparrow$ $\Uparrow$ ... | 5 | [
-0.013671875,
-0.07763671875,
0.047607421875,
0.005279541015625,
-0.041748046875,
0.031005859375,
-0.0185546875,
0.041015625,
-0.138671875,
0.010986328125,
0.01080322265625,
-0.0537109375,
0.044677734375,
-0.03271484375,
0.00787353515625,
0.10546875,
0.031982421875,
0.0087890625,
... | 44,466 | 44466 | |
Is it that only with normal matrices, the transition matrix to its [del: inherent] [ins: own] basis is unitary?
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Does this even make sense what I translated into english?
PS... | 5 | [
-0.09521484375,
-0.042236328125,
-0.07373046875,
0.055419921875,
-0.0361328125,
-0.0125732421875,
0.04296875,
-0.07275390625,
0.0296630859375,
-0.021240234375,
0.0869140625,
-0.0012054443359375,
-0.0205078125,
0.0250244140625,
0.04248046875,
-0.07470703125,
0.00067138671875,
0.0422... | 44,467 | 44467 | |
Simplifying Radical Expressions - ChiliMath
Related Lessons: Adding and Subtracting Radical Expressions Multiplying Radical Expressions Rationalizing the Denominator
Simplifying Radical Expressions | Step by Step
A radical expression is composed of three parts: a radical symbol, a radicand and an index. In this t... | 4 | [
-0.0027008056640625,
0.005706787109375,
0.02001953125,
0.107421875,
0.06689453125,
-0.0016937255859375,
-0.0986328125,
0.023681640625,
0.034912109375,
-0.00055694580078125,
0.07373046875,
0.029541015625,
0.031494140625,
0.0400390625,
0.0068359375,
0.060302734375,
-0.08935546875,
0.... | 44,468 | 44468 | |
Reliability With Mixed Periodic Repairs
Consider a dual redundant system consisting of two components, each of which has a failure rate of l. One of the components is checked and (if necessary) repaired periodically once every t hours, and
the other component is checked and repaired once every mt hours, where m is som... | 4 | [
-0.026611328125,
-0.0400390625,
0.10205078125,
-0.00750732421875,
-0.0018310546875,
-0.05078125,
-0.033203125,
0.06298828125,
-0.0203857421875,
-0.0123291015625,
0.013427734375,
0.0289306640625,
0.1474609375,
0.016845703125,
-0.0419921875,
0.01458740234375,
-0.006591796875,
-0.0578... | 44,469 | 44469 | |
Data Crunching Time
Latex lineno package, where art thou?
If you’re trying add lines to your latex document, you’ll need the lineno package. For the ubuntu 12.04 users out there, you won’t find it with the texlive-latex-base package. In fact, it wasn’t even
in the texlive-latex-extra (which was my first guess). Oddly,... | 5 | [
-0.11962890625,
0.019287109375,
-0.072265625,
-0.06591796875,
0.031005859375,
0.01507568359375,
-0.0262451171875,
-0.0024871826171875,
-0.0703125,
0.042236328125,
0.0057373046875,
0.0546875,
-0.0228271484375,
-0.02685546875,
-0.03857421875,
0.001739501953125,
-0.059326171875,
0.033... | 44,470 | 44470 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: LinearProgramming[]
Replies: 1 Last Post: Dec 11, ... | 5 | [
-0.0228271484375,
0.07861328125,
-0.050537109375,
-0.07470703125,
-0.033935546875,
0.03466796875,
0.031982421875,
-0.05712890625,
-0.134765625,
0.057861328125,
-0.0322265625,
-0.029541015625,
0.126953125,
-0.0002689361572265625,
0.002716064453125,
0.09521484375,
0.00653076171875,
-... | 44,471 | 44471 | |
Network Design: the Diameter-Degree Problem
Network Design: the Diameter-Degree Problem
The "Diameter-Degree Problem" is a graph theory problem that comes up in the design of computer networks, particularly peer-to-peer software networks or "virtual networks" (such as VPNs) and parallel
processing architectures using... | 4 | [
-0.00439453125,
0.039794921875,
-0.0196533203125,
-0.03515625,
-0.006072998046875,
-0.0615234375,
-0.07080078125,
0.0703125,
-0.054443359375,
0.052490234375,
-0.036865234375,
0.048828125,
0.03857421875,
-0.00762939453125,
-0.012451171875,
0.00421142578125,
0.0419921875,
-0.00239562... | 44,472 | 44472 | |
Finance Lecture 10(the last lecture)
What have we (you) been doing?
Lecture 10 L t
Lecture 1-4: Time value of money and project evaluation Missing ingredient: Required rate of return
Cost of Capital
Lecture 9: CAPM
Lectures Le t e 5 and 6: nd 6 Valuation of debt and equity
... | 5 | [
-0.091796875,
0.054931640625,
-0.0228271484375,
-0.08349609375,
0.04296875,
-0.0196533203125,
-0.034912109375,
0.05615234375,
0.0240478515625,
0.09375,
-0.020263671875,
-0.0625,
-0.059814453125,
0.004974365234375,
0.0191650390625,
-0.002197265625,
-0.095703125,
0.0013275146484375,
... | 44,473 | 44473 | |
On generating correlated random variables with a given valid or invalid Correlation matrix
Mishra, SK (2004): On generating correlated random variables with a given valid or invalid Correlation matrix.
PDF
MPRA_paper_1782.pdf
Download (293kB) | Preview
Abstract
In simulation we often have to generate correlate... | 4 | [
-0.0478515625,
-0.0255126953125,
-0.107421875,
0.013916015625,
-0.0269775390625,
0.042236328125,
0.01025390625,
-0.0732421875,
0.00689697265625,
0.03173828125,
0.0213623046875,
0.095703125,
0.109375,
0.09716796875,
-0.01031494140625,
0.031982421875,
0.08837890625,
0.037841796875,
... | 44,474 | 44474 | |
A proof of the Riemann Hypothesis using the convergence of an integral
Thursday morning update: After many hours, I decided that there is a critical error in the otherwise cleverly constructed proof. On page 138 (discussing Lemma 3), second part, he says "whence the
function converges absolutely" essentially fo... | 4 | [
-0.134765625,
0.03515625,
0.016357421875,
0.00872802734375,
0.11865234375,
-0.001708984375,
0.0274658203125,
0.09912109375,
-0.05908203125,
0.014404296875,
0.054443359375,
0.059814453125,
0.044921875,
-0.047607421875,
0.005462646484375,
-0.10302734375,
-0.0220947265625,
-0.11083984... | 44,475 | 44475 | |
Science on the Farther Shore
COMPUTING SCIENCE
Science on the Farther Shore
A $6 Problem
Adrain was among the contributors to the very first mathematical periodical published in the United States, the Mathematical Correspondent, begun in 1804 by George Baron, who had been the first
mathematics instructor at West Poi... | 4 | [
-0.037353515625,
0.007720947265625,
-0.0240478515625,
-0.01019287109375,
-0.0546875,
-0.047119140625,
0.0250244140625,
0.058837890625,
-0.05517578125,
-0.0023651123046875,
0.004974365234375,
0.0294189453125,
0.0003108978271484375,
0.037353515625,
-0.064453125,
0.07666015625,
-0.04882... | 44,476 | 44476 | |
Linear Algebra Primer: Part 7- Intro
Linear Algebra Primer: Part 7- Introduction to Eigentheory
This tutorial will introduce the basics of eigentheory, which is the study of eigenvalues, eigenvectors, and the characteristic polynomial. Eigentheory is renowned for its usefulness in topics such
as dynamical systems. Th... | 5 | [
-0.0537109375,
0.03369140625,
-0.0091552734375,
-0.0279541015625,
0.00830078125,
0.050537109375,
-0.00051116943359375,
-0.00201416015625,
-0.0286865234375,
-0.004913330078125,
0.140625,
-0.000713348388671875,
0.0196533203125,
-0.05078125,
-0.04150390625,
0.00408935546875,
-0.06591796... | 44,477 | 44477 | |
Python: Calculating pi using random numbers
During my undergraduate degree I wrote a program in fortran 95 to calculate pi using random numbers. My aim is to rewrite it efficiently in python. I know its a terrible way to calculate pi, and
there are much better ways to do it but its fun!
First I’ll explain the maths s... | 4 | [
-0.02392578125,
-0.021240234375,
-0.0625,
0.0289306640625,
0.02197265625,
-0.1083984375,
0.034912109375,
-0.036865234375,
0.06640625,
-0.02392578125,
-0.0291748046875,
0.0164794921875,
0.08740234375,
0.006927490234375,
0.032470703125,
-0.0849609375,
0.00830078125,
-0.0206298828125,... | 44,478 | 44478 | |
One Man's Floor Is Another Man's Ceiling
One Man’s Floor Is Another Man’s Ceiling
October 16, 2012
Factoring again, always factoring…
Peter Borwein is among those who carry forward the title mission of Alan Turing’s famous paper, “On Computable Numbers…” With David Bailey and Simon Plouffe, he found a new kind of f... | 4 | [
-0.07666015625,
-0.05615234375,
-0.10107421875,
-0.06689453125,
-0.053955078125,
-0.026123046875,
0.00775146484375,
0.041259765625,
0.00860595703125,
0.020263671875,
-0.0751953125,
0.0245361328125,
0.06201171875,
0.034912109375,
-0.035400390625,
-0.0283203125,
-0.080078125,
0.01531... | 44,479 | 44479 | |
Weierstrass preparation theorem in
Overview
We are interested in the local structure of zeros of analytic functions in $\mathbb{C}^n$ as well as in analogues, e.g. in rigid analytic geometry.
In one variable, a holomorphic function $f$, locally holomorphic around $z_0$, can be represented as $f(z)=(z-z_0)^n u(z)$ wh... | 4 | [
-0.11474609375,
0.0751953125,
-0.05810546875,
0.115234375,
0.03369140625,
-0.0108642578125,
0.0111083984375,
-0.00099945068359375,
0.06396484375,
-0.080078125,
0.0556640625,
-0.02099609375,
0.012939453125,
0.00148773193359375,
-0.021484375,
-0.11669921875,
-0.046875,
-0.09375,
0.... | 44,480 | 44480 | |
The Displacement Analysis of a Concentric Double Universal Joint
12th IFToMM World Congress, Besançon (France), June18-21, 2007
The Displacement Analysis of a Concentric Double Universal Joint
C.-C. Lin* ... | 4 | [
-0.05419921875,
0.0291748046875,
-0.06103515625,
-0.10205078125,
-0.0751953125,
-0.06103515625,
-0.1142578125,
0.07177734375,
0.019775390625,
-0.034423828125,
0.05712890625,
0.051513671875,
0.011962890625,
-0.0458984375,
-0.054443359375,
0.07666015625,
-0.0732421875,
0.05712890625,... | 44,481 | 44481 | |
Introduction to Multicomponent Systems
10.1 For a separations process it is necessary to determine the VLE compositions of a mixture of ethyl bromide and n-heptane at 30°C. At this temperature the vapor pressure of pure ethyl bromide is
0.7569 bar, and the vapor pressure of pure n-heptane is 0.0773 bar. Calcul... | 5 | [
-0.0267333984375,
-0.018798828125,
-0.048095703125,
-0.0859375,
0.041259765625,
0.00799560546875,
0.0712890625,
0.055908203125,
0.00897216796875,
-0.06689453125,
0.029541015625,
-0.09228515625,
-0.0284423828125,
-0.049072265625,
0.0240478515625,
-0.048095703125,
0.028564453125,
-0.... | 44,482 | 44482 | |
Posts about mentally on Fraction of the Blogosphere
Blog Archives
The Infosplit Method
Lesson: Mentally Calculate Percentages of Large Numbers Quickly without using a calculator
Take the following large number:
$145,000
First chop it down
Percentages that end in 0 are simple to calculate mentally:
10% of $145,00... | 4 | [
0.033447265625,
0.02880859375,
0.023681640625,
-0.041015625,
-0.000942230224609375,
-0.07275390625,
0.00469970703125,
0.07666015625,
0.0155029296875,
0.07421875,
0.019287109375,
0.0184326171875,
0.01361083984375,
0.09228515625,
0.00421142578125,
0.044189453125,
-0.03271484375,
0.07... | 44,483 | 44483 | |
Posts from February 2013 on Random Math
In this post, I will prove that a Noetherian and Hausdorff topological space is finite (and therefore has the discrete topology, being Hausdorff). The proof is very short and pleasant.
Proof: Let ${X}$ be such a space, and suppose that it is infinite. Let ${\Sigma}$ be the colle... | 5 | [
0.0086669921875,
0.1181640625,
0.05908203125,
0.033935546875,
0.061767578125,
0.048095703125,
0.10986328125,
-0.0284423828125,
0.0283203125,
-0.01708984375,
0.0419921875,
-0.0830078125,
0.06884765625,
0.00982666015625,
-0.0103759765625,
-0.060546875,
-0.006134033203125,
-0.07226562... | 44,484 | 44484 | |
Integer programming
An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers. In many settings the term refers to integer
linear programming (ILP), in which the objective function and the constraints (other than the integer... | 5 | [
-0.03466796875,
0.078125,
-0.041259765625,
-0.061767578125,
0.00103759765625,
0.037109375,
0.06201171875,
0.0279541015625,
-0.08740234375,
0.05712890625,
-0.06884765625,
-0.0013885498046875,
0.06494140625,
0.021728515625,
0.00439453125,
0.0439453125,
0.09814453125,
-0.0155639648437... | 44,485 | 44485 | |
Far Zone Contribution
A Far Zone Contribution
A formal retardation expansion gives a divergent integral when we evaluate the gravitational field. Schematically the field
This integral is divergent if we set the upper bound of the integral to infinity. In our formalism we take the upper bound of the integral as
To so... | 4 | [
-0.042724609375,
0.00054931640625,
0.0101318359375,
-0.002288818359375,
0.09912109375,
0.0257568359375,
-0.0625,
0.056884765625,
0.0245361328125,
-0.02001953125,
-0.03369140625,
-0.01239013671875,
-0.09716796875,
-0.0888671875,
-0.039306640625,
-0.05810546875,
-0.0771484375,
-0.036... | 44,486 | 44486 | |
Interest
Recall that with simple interest, any accrued interest on a principal amount P is paid once at the end of the compounding period. The accumulated amount available at this time would be
Example. A bank pays simple interest at the rate of 8% per year for certain deposits. If a customer deposits $1000 and makes... | 4 | [
0.0224609375,
0.01519775390625,
-0.025146484375,
-0.038818359375,
0.0019989013671875,
-0.06103515625,
0.0255126953125,
0.046142578125,
0.0301513671875,
0.08056640625,
0.0546875,
-0.0118408203125,
-0.01318359375,
0.058837890625,
0.05029296875,
0.010498046875,
-0.09521484375,
0.01251... | 44,487 | 44487 | |
Partial Derivatives in Matlab
Suppose that we have a function `f:R^2\to R` defined by
`f(x,y)=9-x^2-y^2`.
Let's use Matlab to draw the surface represented by the function `f` over the domain `{(x,y): -2 le x,y le 2}`. We begin by creating a grid of `(x,y)` pairs.
[x,y]=meshgrid(-2:.25:2);
When used in this form, M... | 5 | [
0.027587890625,
0.059814453125,
-0.033447265625,
-0.068359375,
-0.016357421875,
-0.03271484375,
-0.00147247314453125,
0.0791015625,
-0.0169677734375,
-0.022705078125,
-0.0167236328125,
0.01055908203125,
-0.00933837890625,
0.017578125,
0.052001953125,
-0.0181884765625,
-0.05615234375,... | 44,488 | 44488 | |
Area polar coordinates.
August 16th 2011, 06:50 AM #1
Member
Joined
May 2010
Posts
241
Area polar coordinates.
Hi. I wanted to know if I did this right:
Using double integrals, set in polar coordinates, the integral that gives the area for the region $D: \{x^2+y^2\leq{9},(x-2)^2+y^2\geq{7}$
From... | 5 | [
0.00225830078125,
-0.099609375,
-0.050537109375,
-0.0546875,
0.056884765625,
-0.060302734375,
0.002471923828125,
0.042236328125,
0.0184326171875,
-0.05810546875,
-0.0233154296875,
0.06396484375,
-0.06982421875,
0.048583984375,
0.0281982421875,
0.041748046875,
-0.007537841796875,
-0... | 44,489 | 44489 | |
ypsometric
How do I read the hypsometric curve?
Reading a cumulative percent graph
An introduction to the hypsometric curve
The hypsometric curve from Marshak "Earth - Portrait of the Planet" 2nd ed. p. 37.
You may want to print a copy of the hypsometric curve to work from. Your textbook may have a slightly differe... | 4 | [
0.020751953125,
0.000682830810546875,
-0.01141357421875,
-0.02880859375,
0.0322265625,
-0.06884765625,
-0.0263671875,
0.11328125,
0.01513671875,
-0.0296630859375,
0.0252685546875,
-0.04833984375,
-0.0390625,
0.0135498046875,
0.0576171875,
0.041748046875,
-0.078125,
-0.0712890625,
... | 44,490 | 44490 | |
How many proofs that $\pi_n(S^n)=\mathbb{Z}$ are there?
up vote 18 down vote favorite
9
Offhand I can think of two ways in classical homotopy theory:
1. Show that $\pi_k(S^n)=0$ for $k\lt n$ by deforming a map $S^k\to S^n$ to be non-surjective, then contracting it away from a point not in its image. Now use the Hure... | 5 | [
-0.09228515625,
0.09375,
-0.01953125,
0.042236328125,
-0.021240234375,
0.09130859375,
0.006927490234375,
-0.0301513671875,
0.0078125,
-0.043212890625,
0.036376953125,
0.0140380859375,
0.00048828125,
-0.0654296875,
-0.049560546875,
-0.05419921875,
-0.050537109375,
0.058349609375,
... | 44,491 | 44491 | |
Math: Vectors
Posted by Anonymous on Sunday, February 24, 2008 at 6:41pm.
I forgot how to do the following, so I'm not sure if they're correct or not:
Find the work done by a force "F" that causes a displacement "d".
i and j = unit vectors
a)
F = 4i + j
d = 3i + 10j
W = (4i + j)(3i + 10j)
W = 12|i|^2 + 40ij + 3... | 4 | [
-0.099609375,
0.0277099609375,
0.0018157958984375,
-0.04443359375,
-0.01416015625,
0.035400390625,
-0.040283203125,
0.0419921875,
-0.047119140625,
0.0400390625,
0.007110595703125,
-0.01495361328125,
-0.054443359375,
0.060302734375,
-0.08740234375,
-0.00286865234375,
-0.0703125,
0.0... | 44,492 | 44492 | |
Seminar in Mathematics
Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand for multiplying three copies of the number 5 is shown on the right-hand side of the
"equals" sign in (5)(5)(5) = 53. The "exponent", being 3 in this example, stands for however many times ... | 4 | [
-0.034423828125,
-0.0216064453125,
-0.076171875,
0.064453125,
-0.0859375,
-0.0703125,
0.03173828125,
-0.0048828125,
0.11767578125,
0.037841796875,
0.031494140625,
0.0234375,
0.005035400390625,
0.05615234375,
0.050048828125,
0.02734375,
-0.1318359375,
0.0849609375,
-0.09765625,
... | 44,493 | 44493 | |
Distance, Velocity, and Acceleration
There is a relationship between distance, velocity and acceleration. When you understand how they interact, and their equations; they are much easier to grasp. The relationship between distance and
velocity is proportional.
Distance = velocity x time
If acceleration is involved in t... | 4 | [
-0.0059814453125,
0.055419921875,
0.032958984375,
-0.0849609375,
-0.0201416015625,
0.056396484375,
-0.0654296875,
0.0654296875,
0.01220703125,
0.04443359375,
0.17578125,
-0.031982421875,
0.07568359375,
0.04638671875,
-0.09130859375,
0.042724609375,
0.028076171875,
0.10205078125,
... | 44,494 | 44494 | |
Encrypting the Internet
The Advanced Encryption Standard and the RSA Algorithm
AES is the United States Government's standard for symmetric encryption, defined by FIPS Publication #197 (2001) [2, 3]. It is used in a large variety of applications where high throughput and
security are required. In HTTPS, it can be used... | 4 | [
-0.060302734375,
0.0159912109375,
-0.05908203125,
-0.007110595703125,
-0.0206298828125,
-0.0439453125,
0.01080322265625,
0.00189208984375,
0.1337890625,
0.032958984375,
-0.036376953125,
0.10302734375,
-0.00180816650390625,
-0.00830078125,
0.0167236328125,
-0.099609375,
-0.0576171875,... | 44,495 | 44495 | |
Integral of Trig. Function, Power
Associated Topics || Dr. Math Home || Search Dr. Math
Integral of Trig. Function, Power
... | 5 | [
0.01531982421875,
0.10302734375,
-0.0089111328125,
0.0240478515625,
-0.013427734375,
-0.001678466796875,
-0.02001953125,
0.0032501220703125,
-0.050048828125,
0.037841796875,
0.0223388671875,
-0.03369140625,
-0.0281982421875,
0.042724609375,
0.004058837890625,
0.001953125,
0.010925292... | 44,496 | 44496 | |
Find the eigen values and eigen vector
November 1st 2009, 12:10 AM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
Question : Find the eigen values and eigen vector of the matrix $<br /> \begin{bmatrix}<br /> 1 & -6 & -4 \\<br /> 0 & 4 & 2 \\<br /> 0 & -6 & -3<br /> \end{bmatrix}<br />$
Anothe... | 4 | [
0.000644683837890625,
-0.027099609375,
-0.072265625,
-0.07958984375,
-0.016845703125,
0.0213623046875,
-0.00982666015625,
-0.042724609375,
-0.03271484375,
0.01055908203125,
0.12158203125,
-0.059326171875,
0.0035247802734375,
-0.047119140625,
0.06689453125,
0.059814453125,
-0.00650024... | 44,497 | 44497 | |
UPGMA
Next: Neighbor Joining Up: Distance Based Methods Previous: Least Squares Methods
UPGMA
Being able to assign branch lengths to a given tree, as we have demonstrated, we need to minimize SSQ(T) over the possible tree topologies. The UPGMA, or Unweighted Pair Group Method with Arithmetic
mean [13], is a heu... | 4 | [
-0.02392578125,
0.0654296875,
-0.0322265625,
-0.030029296875,
-0.02392578125,
0.000457763671875,
-0.0771484375,
0.0208740234375,
-0.02294921875,
0.004852294921875,
0.03857421875,
-0.07080078125,
0.01202392578125,
0.010986328125,
-0.06494140625,
0.06396484375,
0.0230712890625,
0.058... | 44,498 | 44498 | |
RSA Algorithm Explained Using a Simple "Pencil And Paper" Method
The RSA Algorithm Explained Using Simple Pencil and Paper Method
August 14, 2003
OK, here is what we want to do: We have a "piece of data" that we want ... | 5 | [
-0.1259765625,
0.07958984375,
-0.051513671875,
-0.00799560546875,
-0.064453125,
-0.060791015625,
0.00860595703125,
-0.025146484375,
-0.0147705078125,
0.050048828125,
-0.01556396484375,
0.1591796875,
0.037109375,
-0.0654296875,
-0.033447265625,
-0.024169921875,
-0.044921875,
0.00717... | 44,499 | 44499 |