content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Transgressing the limits
Today, the 14th of January 2014, we had a special session of our Theory Lunch. I spoke about ultrafilters and how they allow to generalize the notion of limit.
Consider the space $\ell^\infty$ of bounded sequences of real numbers, together with the supremum norm. We would like to define a not... | 4 | [
-0.146484375,
-0.08349609375,
0.00384521484375,
0.0098876953125,
0.07861328125,
0.08544921875,
0.07080078125,
-0.045166015625,
-0.054443359375,
-0.058349609375,
0.0869140625,
0.08935546875,
-0.026123046875,
0.00726318359375,
0.05712890625,
0.02783203125,
-0.0257568359375,
-0.011840... | 13,300 | 13300 | |
Patent US20050246256 - Method and system for assessing the risk of a vehicle dealership defaulting on a financial obligation
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates generally to assessing vehicle dealership default risk and, more specifically, to a method for assessing the risk of... | 4 | [
-0.1005859375,
-0.05908203125,
-0.01544189453125,
-0.01556396484375,
-0.025634765625,
0.087890625,
-0.009033203125,
0.10693359375,
0.02783203125,
-0.021484375,
0.017822265625,
0.04931640625,
0.041259765625,
0.061767578125,
-0.1640625,
-0.0712890625,
0.0079345703125,
-0.04638671875,... | 13,301 | 13301 | |
Free affine actions of Borel subgroups
up vote 2 down vote favorite
4
Call an upper triangular $m\times m$ matrix $A$ admissible if the lowest non-zero entry of $A-I$ lies in the last column, and is strictly lower than any other non-zero entry of $A-I$. I'll also
regard $A=I$ itself as admissible. Let ${T^{*}}=T^{*}(n... | 5 | [
-0.08642578125,
-0.05126953125,
-0.052490234375,
0.0303955078125,
-0.03466796875,
0.053466796875,
0.050048828125,
-0.06884765625,
0.01708984375,
-0.0014801025390625,
0.0439453125,
0.0255126953125,
-0.00634765625,
-0.018798828125,
-0.014404296875,
-0.000011146068572998047,
0.040283203... | 13,302 | 13302 | |
Composite Tube Models
Copyright © 2003,2005. Author: Dmitry Nizhegorodov (dmitrynizh@hotmail.com). My other projects and articles
1.   Abstract
In this article we outline the difficulties of modeling real vacuum tubes and develop a practical modeling approach we call "composite tube models". Triodes are discusse... | 4 | [
-0.055419921875,
-0.000270843505859375,
-0.0013885498046875,
-0.0281982421875,
-0.044677734375,
-0.051025390625,
-0.087890625,
0.09326171875,
0.005615234375,
0.03564453125,
0.02392578125,
-0.039794921875,
0.016845703125,
0.03271484375,
0.036865234375,
-0.13671875,
0.00958251953125,
... | 13,303 | 13303 | |
The Physics of Gamma-Ray Bursts - Tsvi Piran
C. External Shocks
Consider the situation when a cold relativistic shell (whose internal energy is negligible compared to the rest mass) moves into the cold ISM. Generally, two shocks form: an outgoing shock that
propagates into the ISM or into the external shell, and a rev... | 4 | [
-0.07470703125,
-0.0576171875,
0.06689453125,
0.111328125,
0.06005859375,
-0.019287109375,
0.0223388671875,
0.130859375,
0.044189453125,
0.00823974609375,
0.027099609375,
-0.0537109375,
0.07763671875,
-0.035888671875,
0.0181884765625,
-0.1337890625,
0.03173828125,
-0.0615234375,
... | 13,304 | 13304 | |
Numerical Analysis of an Elliptic-Parabolic Partial Differential Equation
Franklin, Joel N. and Rodemich, Eugene R. (1968) Numerical Analysis of an Elliptic-Parabolic Partial Differential Equation. SIAM Journal on Numerical Analysis, 5 (4). pp. 680-716. ISSN 0036-1429.
http://resolver.caltech.edu/CaltechAUTHORS:FRAsiam... | 4 | [
-0.09228515625,
0.07080078125,
0.056640625,
-0.035888671875,
0.041015625,
0.04150390625,
0.032470703125,
0.032958984375,
-0.00180816650390625,
-0.036865234375,
0.030029296875,
0.01251220703125,
-0.02783203125,
-0.0283203125,
0.040283203125,
-0.050048828125,
-0.056640625,
-0.0771484... | 13,305 | 13305 | |
A practical approach for incorporating dependence among fields in probabilistic record linkage
Abstract
Background
Methods for linking real-world healthcare data often use a latent class model, where the latent, or unknown, class is the true match status of candidate record-pairs. This commonly used model assumes
tha... | 4 | [
-0.0751953125,
-0.02880859375,
-0.0166015625,
-0.029052734375,
0.004791259765625,
0.01068115234375,
-0.036865234375,
-0.010986328125,
-0.005584716796875,
-0.048828125,
0.03515625,
0.0390625,
0.0189208984375,
0.0157470703125,
-0.0228271484375,
0.0203857421875,
-0.022705078125,
-0.02... | 13,306 | 13306 | |
25.5 Doing Flux (Surface) Integrals on a Spreadsheet
]>
Home | 18.013A | Chapter 25 Tools Glossary Index Up Previous Next
25.5 Doing Flux (Surface) Integrals on a Spreadsheet
When a surface $S$ is described in parametric form, that is, you are given functions $x ( s , t ) , y ( s , t )$ and $z ( s , t )$ , and a r... | 5 | [
-0.09130859375,
-0.03515625,
-0.005615234375,
-0.022216796875,
0.035888671875,
-0.044189453125,
-0.0198974609375,
0.08544921875,
-0.07958984375,
0.0135498046875,
-0.0262451171875,
0.0257568359375,
0.051513671875,
0.03955078125,
-0.01226806640625,
0.07373046875,
-0.06201171875,
0.04... | 13,307 | 13307 | |
Hypothesis tests and social science example
Re: Hypothesis tests and social science example
Re: Hypothesis tests and social science example
Hi;
The problem is rather like trying to prove a matter concerning a 12 sided die by rolling it 1000 times.
What is needed is a full understanding of the term "matter."
Wh... | 5 | [
0.019287109375,
0.05322265625,
0.01214599609375,
0.05322265625,
0.025390625,
0.03173828125,
-0.006988525390625,
0.041259765625,
0.05126953125,
0.134765625,
0.0230712890625,
-0.043701171875,
-0.0103759765625,
0.049072265625,
0.046142578125,
-0.051513671875,
-0.01904296875,
0.0339355... | 13,308 | 13308 | |
Thoughts on Software engineering and languages
Randomly picking another Euler challenge using Scala, I turned my attention to
problem 21
this time. This asks to find the set of Amicable numbers under 10000 and sum them up.
This led to playing around with Scala's
Sequence comprehension's
a bit. Here's my solution:
... | 5 | [
-0.10498046875,
0.02197265625,
-0.0133056640625,
-0.0849609375,
0.00124359130859375,
-0.05078125,
0.1005859375,
-0.0004730224609375,
-0.037353515625,
-0.050048828125,
0.007537841796875,
-0.02734375,
0.0137939453125,
0.00927734375,
-0.0118408203125,
0.01556396484375,
-0.0244140625,
... | 13,309 | 13309 | |
Hybrid optimization method with general switching strategy for parameter estimation
Abstract
Background
Modeling and simulation of cellular signaling and metabolic pathways as networks of biochemical reactions yields sets of non-linear ordinary differential equations. These models usually depend on
several parameters... | 4 | [
-0.051513671875,
-0.0341796875,
-0.04052734375,
-0.0244140625,
-0.0245361328125,
-0.06396484375,
-0.0096435546875,
0.06005859375,
0.04833984375,
-0.02197265625,
0.0150146484375,
-0.016845703125,
0.0291748046875,
0.0155029296875,
-0.07666015625,
0.037353515625,
-0.051513671875,
0.00... | 13,310 | 13310 | |
The existence of solutions for nonlinear fractional multipoint boundary value problems at resonance
Abstract
A class of nonlinear fractional multipoint boundary value problems at resonance is considered in this article. The existence results are obtained by the method of the coincidence degree theory of
Mawhin. An exa... | 5 | [
-0.08642578125,
0.009765625,
0.0242919921875,
-0.0096435546875,
0.0004291534423828125,
-0.01043701171875,
-0.08251953125,
0.013671875,
0.0380859375,
-0.031494140625,
0.037841796875,
-0.028564453125,
-0.00653076171875,
0.0245361328125,
0.0703125,
-0.0220947265625,
-0.0439453125,
0.0... | 13,311 | 13311 | |
phone
Numbers
Numbers are entered in the usual Computer format: with optional decimal point and decimal exponent following the letter e (or E). The numbers 5364 and $-1.723478265342 10^\left\{12\right\}$ should be
entered like:
>> 5364
ans = 5364
>> -1.723478265342e12
ans = -1.7235E12
Most of the time these will be... | 5 | [
-0.0869140625,
0.06494140625,
-0.05029296875,
-0.091796875,
-0.078125,
-0.052490234375,
-0.01708984375,
0.123046875,
0.09228515625,
-0.021240234375,
0.036376953125,
0.00390625,
0.08544921875,
0.0074462890625,
-0.007537841796875,
-0.055908203125,
-0.041015625,
0.01123046875,
-0.03... | 13,312 | 13312 | |
Cool problems to impress students with group theory
up vote 93 down vote favorite
94
Since this forum is densely populated with algebraists, I think I'll ask it here.
I'm teaching intermediate level algebra this semester and I'd like to entertain my students with some clever applications of group theory. So, I'm look... | 5 | [
-0.061767578125,
0.059326171875,
0.05078125,
0.000759124755859375,
-0.0556640625,
-0.0576171875,
0.0390625,
-0.1005859375,
-0.0546875,
0.036865234375,
0.02197265625,
-0.037841796875,
-0.0264892578125,
0.060546875,
0.023193359375,
0.035400390625,
0.0029754638671875,
0.0732421875,
... | 13,313 | 13313 | |
uniformly continuous map
Uniformly continuous maps
Idea
A continuous map $f$ between spaces $X$ and $Y$ has the property that $f$ maps nearby points to nearby points, which may be formalised by first picking one point, then considering how nearby you want
the points to be, then picking another point sufficiently near... | 4 | [
0.034423828125,
-0.0299072265625,
0.0009613037109375,
-0.10205078125,
0.0283203125,
0.0252685546875,
0.07275390625,
-0.06396484375,
-0.00750732421875,
0.018798828125,
0.06005859375,
-0.000598907470703125,
0.06689453125,
0.047607421875,
0.1083984375,
-0.052001953125,
0.1064453125,
-... | 13,314 | 13314 | |
Posts by
Total # Posts: 32
Physics
In solid sodium chloride (table salt), chloride ions have one more electron than they have protons, and sodium ions have one more proton than they have electrons. These ions are separated at about
0.28 nm. Calculate the electrostatic force between the sodium ion and the chlori...
P... | 4 | [
-0.054443359375,
-0.06298828125,
-0.06787109375,
-0.06591796875,
-0.002777099609375,
-0.0213623046875,
0.0361328125,
-0.021484375,
0.04833984375,
0.01531982421875,
0.02783203125,
-0.08056640625,
0.11279296875,
0.0869140625,
-0.025146484375,
-0.10546875,
-0.02978515625,
0.0302734375... | 13,315 | 13315 | |
An infinite stream of "Pi"
An infinite stream of “Pi”
So, after TimToady’s help with my last problem, finishing this is trivial. You just convert the Haskell code without worrying about type safety.
type LFT = (Integer, Integer, Integer, Integer)
extr :: LFT -> Integer -> Rational
extr (q,r,s,t) x = ((fromInteger q) ... | 4 | [
-0.10791015625,
0.06298828125,
-0.0299072265625,
0.03564453125,
-0.0201416015625,
0.080078125,
0.058837890625,
-0.00714111328125,
0.0036773681640625,
-0.08251953125,
-0.01263427734375,
-0.06640625,
0.0712890625,
0.115234375,
0.007781982421875,
-0.04638671875,
-0.036376953125,
0.004... | 13,316 | 13316 | |
Solving simultaneous equations
Up to now we have solved equations with only one unknown variable. When solving for two unknown variables, two equations are required and these equations are known as simultaneous equations. The
solutions are the values of the unknown variables which satisfy both equations simultaneously... | 4 | [
-0.03515625,
0.054931640625,
-0.061767578125,
0.0576171875,
-0.06787109375,
-0.04345703125,
-0.06005859375,
-0.01519775390625,
0.0128173828125,
-0.034912109375,
0.03515625,
0.057373046875,
0.08203125,
0.054443359375,
0.025634765625,
0.052978515625,
-0.1455078125,
0.047119140625,
... | 13,317 | 13317 | |
JMLA Case Studies in Health Sciences Librarianship
More debate on the utility of case reports
The Scientist
posted a news item yesterday, "
Case reports: Essential or irrelevant?
", discussing reaction of members of other editorial teams to the launch of the new
Journal of Medical Case Reports
(a
BMC
title).
... | 4 | [
0.0111083984375,
0.029541015625,
-0.0218505859375,
0.019775390625,
0.0390625,
0.03125,
-0.126953125,
0.12158203125,
0.03564453125,
0.0269775390625,
-0.059326171875,
0.09912109375,
0.037353515625,
0.032958984375,
0.035888671875,
0.0537109375,
-0.0081787109375,
-0.042236328125,
-0.... | 13,318 | 13318 | |
Row Reduce Echelon Form
Module
for
Background
An important technique for solving a system of linear equations
Definition (... | 4 | [
-0.059326171875,
0.037109375,
-0.05615234375,
-0.044921875,
0.064453125,
0.003387451171875,
-0.04052734375,
-0.0255126953125,
0.03662109375,
0.0478515625,
0.052978515625,
0.0576171875,
0.0927734375,
-0.045166015625,
-0.059326171875,
0.003265380859375,
-0.0869140625,
-0.007629394531... | 13,319 | 13319 | |
Math Forum: Teacher2Teacher - Q&A #104
Teachers' Lounge Discussion: Factoring trinomials
... | 4 | [
0.01434326171875,
-0.035888671875,
0.0115966796875,
0.0145263671875,
-0.00262451171875,
0.06494140625,
-0.007720947265625,
-0.032958984375,
-0.034423828125,
0.0634765625,
0.126953125,
-0.0206298828125,
-0.022216796875,
0.09716796875,
0.05029296875,
0.1181640625,
0.036376953125,
0.0... | 13,320 | 13320 | |
What is the combinatorial intepretation to this identity?
up vote 18 down vote favorite
6
I came across the following combinatorial identity in a paper 'a remarkable sequence of integers'.
$\sum_{k=0}^m 2^{-2k} \binom{2k}{k} \binom{2m-k}{m} =4^{-m} \binom{4m+1}{2m}. $
I gave an elementary proof as follows, yet I a c... | 5 | [
0.035888671875,
0.023681640625,
0.0279541015625,
0.07470703125,
-0.01416015625,
-0.03857421875,
0.07177734375,
0.0380859375,
0.037353515625,
0.0625,
-0.046875,
-0.0194091796875,
0.00604248046875,
-0.0159912109375,
-0.0888671875,
0.0966796875,
0.04833984375,
-0.00714111328125,
0.0... | 13,321 | 13321 | |
An Introductory Course of Quantitative Chemical Analysis SummaryAn Introductory Course of Quantitative Chemical Analysis Summary
(The reactions necessary for the solution of these problems are either stated with the problem or may be found in the earlier text. In the calculations from which the answers are derived, the... | 4 | [
-0.0272216796875,
0.05908203125,
0.00164794921875,
0.005584716796875,
-0.054443359375,
-0.01153564453125,
0.064453125,
0.12060546875,
0.036865234375,
0.028076171875,
0.00160980224609375,
-0.0732421875,
0.0341796875,
0.0634765625,
-0.0654296875,
-0.03857421875,
-0.00848388671875,
0.... | 13,322 | 13322 | |
What Is This Quotient Space?
up vote 0 down vote favorite
1
Let $X$ be a finite CW-complex with only even cells $x_1,\ldots, x_k$ and let $Y$ be the complex obtained by attaching one more even cell to $X$, call it $y$. Assume both $X$ and $Y$ are connected.
The quotient complex $Y^n/X^n$ has the cell structure with on... | 5 | [
-0.0751953125,
-0.02001953125,
-0.03759765625,
0.006378173828125,
-0.048828125,
-0.037109375,
0.07275390625,
-0.0113525390625,
0.064453125,
-0.049560546875,
0.08544921875,
-0.0050048828125,
-0.04345703125,
0.0223388671875,
-0.0078125,
0.08837890625,
0.01318359375,
0.032470703125,
... | 13,323 | 13323 | |
Man and Train on a Bridge
Date: 2/1/96 at 16:27:56
From: Anonymous
Subject: Story problem
A man is walking across a railroad bridge that goes from point A
to point B. He starts at point A, and when he is 3/8 of the way
across the bridge, he hears a train approaching. The train's speed
is 60 mph (miles per hour).
Th... | 4 | [
-0.004852294921875,
0.029052734375,
-0.0146484375,
0.018798828125,
-0.024658203125,
0.05810546875,
-0.0245361328125,
0.0206298828125,
-0.1162109375,
-0.0341796875,
-0.01531982421875,
0.0035400390625,
-0.00457763671875,
0.03173828125,
0.0157470703125,
0.08203125,
0.00433349609375,
0... | 13,324 | 13324 | |
Are these numbers irrational and/or transcendental?
up vote 4 down vote favorite
2
I am curious to know if the following number is irrational or transcendental:
$$\displaystyle A = \sum_p 2^{-p},$$ where the sum is over all positive primes. A similar question can be asked for any number $k$ other than 2.
Edit: In re... | 5 | [
-0.00139617919921875,
-0.0849609375,
-0.034912109375,
0.0849609375,
-0.0286865234375,
-0.058837890625,
0.07666015625,
-0.035888671875,
0.033447265625,
-0.00064849853515625,
-0.06396484375,
-0.023681640625,
0.0625,
0.059326171875,
-0.00335693359375,
-0.036376953125,
0.0084228515625,
... | 13,325 | 13325 | |
reflective sub-(infinity,1)-category
Context
$(\infty,1)$-Category theory
Background
Basic concepts
Universal constructions
Local presentation
Theorems
Models
Notions of subcategory
Contents
Idea
The notion of reflective $(\infty,1)$-subcategory is the generalization of the notion of reflective subcategory f... | 4 | [
-0.0164794921875,
-0.07177734375,
0.06396484375,
-0.0242919921875,
0.03662109375,
0.0172119140625,
-0.031494140625,
-0.01141357421875,
-0.01263427734375,
-0.00360107421875,
-0.064453125,
-0.07958984375,
-0.01171875,
0.018798828125,
0.05126953125,
-0.00897216796875,
0.1064453125,
-0... | 13,326 | 13326 | |
ib
#include <boost/math/distributions/negative_binomial.hpp>
namespace boost{ namespace math{
template <class RealType = double,
class Policy = policies::policy<> >
class negative_binomial_distribution;
typedef negative_binomial_distribution<> negative_binomial;
template <class RealType, class Policy>
c... | 4 | [
-0.039306640625,
0.04443359375,
-0.0220947265625,
-0.006866455078125,
-0.06005859375,
0.0155029296875,
-0.00860595703125,
0.08447265625,
-0.03759765625,
0.0172119140625,
0.06884765625,
-0.059326171875,
-0.004150390625,
-0.043701171875,
-0.00054931640625,
0.0218505859375,
0.0307617187... | 13,327 | 13327 | |
Regularization of Zygmund functions
up vote 2 down vote favorite
2
Dear community.
I would like to derive a "good" estimate on $\frac{d}{dt}f_\epsilon(t)$, where $f_\epsilon$ is a regularization of a Zygmund-continuous function $f$, i.e.
$|f(x-\tau)+f(x+\tau)-2f(x)| \leq C |\tau|$ for all $x \in dom(f)$.
The regula... | 5 | [
-0.10107421875,
-0.0186767578125,
0.0751953125,
0.059814453125,
0.06689453125,
0.032958984375,
0.060302734375,
0.03369140625,
-0.09326171875,
-0.038330078125,
-0.0322265625,
0.0113525390625,
0.08447265625,
0.004608154296875,
-0.0201416015625,
-0.0262451171875,
0.037109375,
-0.03198... | 13,328 | 13328 | |
double complex
Context
Homological algebra
Contents
Idea
A double complex or bicomplex is a diagram of shape $\mathbb{Z}_{\leq} \times \mathbb{Z}_{\leq}$ (in some additive category):
$\array{ && \vdots && \vdots \\ & & \downarrow^{\mathrlap{\partial^v}} && \downarrow^{\mathrlap{\partial^v}} \\ \cdots &\to & X_{n,m... | 4 | [
-0.04296875,
-0.003662109375,
0.004425048828125,
-0.025390625,
-0.115234375,
0.005615234375,
-0.037353515625,
0.0225830078125,
-0.04296875,
-0.06640625,
0.09716796875,
-0.047119140625,
0.0189208984375,
-0.017822265625,
0.045166015625,
0.10302734375,
0.00860595703125,
0.0458984375,
... | 13,329 | 13329 | |
Versatile modeling and optimization of fed batch processes for the production of secreted heterologous proteins with Pichia pastoris
Abstract
Background
Secretion of heterologous proteins depends both on biomass concentration and on the specific product secretion rate, which in turn is not constant at varying specifi... | 4 | [
-0.02099609375,
-0.049560546875,
-0.06201171875,
-0.032470703125,
0.005767822265625,
-0.04345703125,
-0.02685546875,
0.06591796875,
0.0537109375,
-0.01123046875,
0.04541015625,
0.0101318359375,
-0.004913330078125,
0.007720947265625,
0.01190185546875,
-0.0390625,
-0.001495361328125,
... | 13,330 | 13330 | |
Scientific Papers - Vi
180 ON THE PASSAGE OF WAVES THROUGH [375
in which cos 6 cos a passes through zero within the range of integration. It will be shown that (84) vanishes ultimately when x' = 0. To, this end the range of integration is divided into three par... | 4 | [
-0.08349609375,
0.064453125,
0.038818359375,
0.0211181640625,
0.0174560546875,
-0.003662109375,
0.06396484375,
-0.007476806640625,
0.0263671875,
0.045654296875,
0.08349609375,
-0.034912109375,
-0.0213623046875,
0.01531982421875,
0.048095703125,
-0.05078125,
-0.12451171875,
-0.05615... | 13,331 | 13331 | |
A question about sigma-ring
up vote 1 down vote favorite
1
This question comes from the 4th line of the proof of Theorem E of Halmos' "Measure Theory", in page 25, which says that C is a sigma-ring. Because this website does not allow new users to link
images, I rephrase it as follows: Suppose A is any subset of the w... | 5 | [
-0.0030670166015625,
0.040283203125,
0.0380859375,
-0.0186767578125,
-0.0167236328125,
0.09326171875,
0.10546875,
0.037353515625,
0.0294189453125,
-0.0279541015625,
-0.0947265625,
-0.1337890625,
0.064453125,
-0.05078125,
-0.0341796875,
0.01422119140625,
0.045166015625,
0.0112915039... | 13,332 | 13332 | |
Orthogonality of invariant subspaces for restricted representations
up vote -4 down vote favorite
Let $G$ be a finite group and $H_1$ and $H_2$ are two proper subgroups of $G$. Also, let $\rho:G \rightarrow \mathbb{C}^m \times \mathbb{C}^m$ be an irreducible non-trivial representation of $G$. Let
$V_1$ and $V_2$ be su... | 5 | [
-0.034912109375,
-0.009033203125,
0.0233154296875,
0.005828857421875,
0.004638671875,
0.036865234375,
-0.008056640625,
-0.08349609375,
-0.030029296875,
-0.130859375,
0.005950927734375,
-0.004425048828125,
-0.044677734375,
0.022216796875,
-0.04736328125,
0.00994873046875,
0.0456542968... | 13,333 | 13333 | |
Circles around a Larger Circle
Date: 07/26/2003 at 10:38:44
From: Kelly Jones
Subject: Circles
Is there a formula to determine the diameter of several smaller
circles outlining the circumference of a larger circle? For example,
if I have a circle with a circumference equalling 10 and I want to
make 10 smaller circles... | 4 | [
-0.00946044921875,
0.01495361328125,
-0.06298828125,
-0.0027923583984375,
0.064453125,
-0.03271484375,
-0.0274658203125,
0.1337890625,
0.0064697265625,
-0.048828125,
-0.048583984375,
-0.008056640625,
0.00567626953125,
0.03662109375,
0.042724609375,
0.01239013671875,
-0.0361328125,
... | 13,334 | 13334 | |
Chern class of a logarithmic connection
up vote 4 down vote favorite
Let $X$ be a smooth complex projective algebraic variety and $E$ a line bundle on $X$. It is a classical result that if $E$ carries an integrable connection, then the first Chern class $c_1(E)$
vanishes. I am interesting in the following variant: let... | 4 | [
-0.0830078125,
-0.02978515625,
0.058349609375,
-0.01483154296875,
0.0712890625,
-0.030029296875,
0.12158203125,
0.072265625,
-0.0289306640625,
-0.048095703125,
0.04541015625,
-0.01458740234375,
-0.038818359375,
0.0123291015625,
0.01300048828125,
0.0166015625,
-0.109375,
0.043945312... | 13,335 | 13335 | |
bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 100.27201
Autor: Erdös, Pál
Title: Remarks on two problems. (In Hungarian. RU, ... | 4 | [
-0.09521484375,
0.0130615234375,
-0.015380859375,
-0.01953125,
0.050537109375,
0.01611328125,
0.10302734375,
0.0966796875,
0.0186767578125,
0.01470947265625,
-0.01190185546875,
0.0390625,
0.09375,
-0.05322265625,
-0.052734375,
-0.0145263671875,
0.037109375,
0.020751953125,
-0.070... | 13,336 | 13336 | |
The Harmonic Triangle and Pascal's Triangle
Copyright © University of Cambridge. All rights reserved.
We shall explore the similarities between the harmonic triangle, which you see below, and Pascal's triangle. You may like to start by trying this
Harmonic Triangle
problem.
The rule for generating the harmonic tria... | 4 | [
-0.039306640625,
0.03466796875,
-0.03662109375,
-0.10400390625,
-0.1064453125,
-0.0169677734375,
-0.052490234375,
-0.05322265625,
0.033447265625,
0.032470703125,
-0.0849609375,
-0.09912109375,
0.01373291015625,
-0.06689453125,
0.034423828125,
0.006927490234375,
-0.05126953125,
0.01... | 13,337 | 13337 | |
Pythagorean Theorem
by
Angie Head
T... | 4 | [
-0.058349609375,
0.10693359375,
-0.015869140625,
0.005126953125,
-0.06787109375,
0.007598876953125,
-0.02490234375,
0.023193359375,
0.0009765625,
0.053466796875,
0.03662109375,
0.0498046875,
-0.0291748046875,
0.0712890625,
-0.03564453125,
-0.06396484375,
-0.087890625,
0.04052734375... | 13,338 | 13338 | |
Max cut value in a random graph
up vote 1 down vote favorite
Let $G = G(n, 1/2)$ be an Erdos-Renyi graph in which each edge $e = (u,v)$ is present in the graph independently with probability $1/2$. For a subset of the vertices $S$, the cut value $c(S)$ is
equal to the number of edges $(u,v)$ such that $u \in S$ and $v... | 5 | [
-0.0126953125,
-0.0152587890625,
0.040771484375,
0.003997802734375,
0.054931640625,
-0.008544921875,
-0.00445556640625,
0.056884765625,
0.0120849609375,
0.07373046875,
-0.0654296875,
0.0152587890625,
-0.006439208984375,
-0.01483154296875,
-0.01434326171875,
-0.052978515625,
0.1069335... | 13,339 | 13339 | |
Set of Integers With Nonrepeating Digits
Name: Michael
Status: student
Age: N/A
Location: N/A
Country: N/A
Date: 7/9/2005
Question: I am interested in determining the number of positive integers t... | 4 | [
0.0264892578125,
0.00860595703125,
0.003082275390625,
-0.1044921875,
-0.08935546875,
0.115234375,
0.0498046875,
0.025146484375,
-0.0250244140625,
-0.033203125,
0.0146484375,
0.0947265625,
0.09228515625,
-0.00128173828125,
-0.111328125,
0.0147705078125,
-0.016845703125,
-0.023681640... | 13,340 | 13340 | |
Exact numeric nth derivatives
24 October 2013
Automatic differentiation is a well-studied technique for computing exact numeric derivatives. Dan Piponi has a great introduction on the subject, but to give you an overview, the idea is that you
introduce an algebraic symbol $ewcommand\e\epsilon\e$ such that $\e e 0$ bu... | 5 | [
-0.08056640625,
0.0380859375,
0.0654296875,
0.04296875,
-0.057373046875,
-0.0673828125,
0.0228271484375,
0.0208740234375,
0.08154296875,
0.0277099609375,
0.08154296875,
-0.08056640625,
0.0087890625,
0.0234375,
0.01092529296875,
-0.10009765625,
-0.08740234375,
0.06884765625,
-0.07... | 13,341 | 13341 | |
Pressure Washer Dilution Calculator
Mixing Ratio and Concentration Calculator
Skip ahead to the Pressure Washer Dilution Calculator.
This seemingly simple subject is still the cause of confusion, and it was for me too. After having to figure this out two springs in a row I decided to write it down and share it. Consi... | 4 | [
-0.021728515625,
-0.00897216796875,
0.087890625,
-0.01806640625,
0.01708984375,
-0.033935546875,
-0.010498046875,
0.01165771484375,
0.026123046875,
0.0057373046875,
0.005615234375,
-0.020751953125,
0.045654296875,
0.076171875,
-0.0002899169921875,
0.01495361328125,
-0.055908203125,
... | 13,342 | 13342 | |
Reapeated Real and Complex Roots
March 2nd 2011, 09:40 AM #1
Reapeated Real and Complex Roots
Hi.
My book on the subject of differential equations tends to omit things from time to time, and one such thing - namely, how it is that we can show that if an auxiliary equation to an nth order DE
with constant... | 4 | [
-0.0947265625,
-0.00872802734375,
0.055908203125,
0.06494140625,
0.00927734375,
0.0517578125,
-0.0595703125,
-0.001556396484375,
0.0302734375,
-0.041259765625,
0.1826171875,
-0.05810546875,
0.02392578125,
-0.05419921875,
0.005340576171875,
0.045166015625,
-0.02734375,
0.05541992187... | 13,343 | 13343 | |
cha
RegularChains[RegularGcd] - GCD of two polynomials with respect to a regular chain
Calling Sequence
RegularGcd(p1, p2, v, rc, R)
RegularGcd(p1, p2, v, rc, R, 'normalized'='yes')
RegularGcd(p1, p2, v, rc, R, 'normalized'='strongly')
RegularGcd(src, rc, R)
Parameters
p1 - polynom... | 5 | [
-0.036376953125,
0.05029296875,
-0.07373046875,
-0.022216796875,
0.0732421875,
-0.00958251953125,
0.0164794921875,
0.0206298828125,
-0.0615234375,
-0.05029296875,
0.039306640625,
-0.006134033203125,
0.04150390625,
0.0303955078125,
0.01318359375,
0.005889892578125,
-0.044189453125,
... | 13,344 | 13344 | |
PID: When Should I Compute the Integral Term?
Recently there was a suggestion posted to the Beginner’s PID Series. The contention was that if you solve things in the Laplace domain, it specifies a different way of executing the Integral Term.
Rather than looking at the sum of error for THIS point, the commenter sugges... | 4 | [
-0.040771484375,
-0.01495361328125,
0.0301513671875,
-0.0849609375,
-0.060302734375,
-0.03515625,
-0.07666015625,
0.08251953125,
0.033935546875,
0.033935546875,
0.03076171875,
0.01495361328125,
0.059814453125,
-0.056396484375,
-0.0693359375,
-0.10693359375,
0.0059814453125,
0.03442... | 13,345 | 13345 | |
small fibration
A fibered category is a small fibration if it is equivalent to a fibered category which is obtained via a specific construction: the input is an internal category $C = (C_0,C_1,s,t,c,i)$ in a
category $E$ with pullbacks, and the output is a fibered category $P:F\to E$, whose fiber over an object $I$ (“i... | 4 | [
0.033203125,
0.0240478515625,
0.03759765625,
0.002593994140625,
-0.0223388671875,
0.03662109375,
-0.047607421875,
0.1064453125,
0.0201416015625,
0.0206298828125,
0.0223388671875,
-0.07080078125,
-0.11669921875,
-0.0135498046875,
-0.0179443359375,
-0.0120849609375,
-0.0274658203125,
... | 13,346 | 13346 | |
Intro 26. Obverse and Under
>> << Usr Pri JfC LJ Phr Dic Rel Voc !: Help Dictionary
26. Obverse and Under
The result of f^:_1 is called the obverse of the function f ; if f=: g :. h, this obverse is h, and it is otherwise an inverse of f . Inverses are provided for over 25 primitives (including the case
of the square ... | 5 | [
-0.0240478515625,
0.003936767578125,
-0.02490234375,
0.00848388671875,
-0.01153564453125,
-0.0286865234375,
-0.06884765625,
0.04150390625,
0.023681640625,
0.044189453125,
0.04736328125,
-0.00787353515625,
-0.0224609375,
0.01385498046875,
-0.034912109375,
0.0106201171875,
-0.079101562... | 13,347 | 13347 | |
actor
After studying this lesson, you will be able to:
• Factor trinomials.
Steps of Factoring:
1. Factor out the GCF
2. Look at the number of terms:
• 2 Terms: Look for the Difference of 2 Squares
• 3 Terms: Factor the Trinomial
• 4 Terms: Factor by Grouping
3. Factor Completely
4. Check by Multiplying
... | 4 | [
0.007171630859375,
-0.0159912109375,
-0.031982421875,
-0.018310546875,
0.0211181640625,
0.07275390625,
0.0125732421875,
-0.06103515625,
-0.0849609375,
0.0142822265625,
0.09130859375,
-0.0927734375,
0.04150390625,
0.1318359375,
0.0159912109375,
-0.006378173828125,
-0.0150146484375,
... | 13,348 | 13348 | |
Strong Correlation Coefficient
In this article we will discuss strong correlation coefficient.Strong correlation, however, does often warrant advance examination to conclude causation. The correlation of an idea from statistics
is the calculation of how well trends in the expected values follow trends in past real val... | 4 | [
-0.017822265625,
-0.052978515625,
0.0198974609375,
0.048583984375,
-0.0054931640625,
0.060546875,
0.0115966796875,
-0.033447265625,
0.0169677734375,
0.0081787109375,
-0.0211181640625,
0.044921875,
0.047607421875,
0.048583984375,
-0.021240234375,
0.0771484375,
0.03271484375,
0.00848... | 13,349 | 13349 | |
Spherical functions for sl(2,Q_p)
up vote 6 down vote favorite
I kindly would like to ask you the following- I am refering to page 175 in the Book by Gelfand, Graev, Shapiro, etc, on "Automorphic forms ..."
My question to which I would kindly ask you to answer me is : Are there unitary representations of SL(2, Q_P) o... | 4 | [
-0.140625,
-0.0296630859375,
-0.031494140625,
0.0419921875,
-0.00103759765625,
0.07275390625,
0.0625,
-0.01953125,
0.1044921875,
-0.045654296875,
0.041259765625,
0.006683349609375,
-0.05517578125,
0.0281982421875,
-0.058837890625,
-0.11865234375,
-0.02392578125,
-0.043701171875,
... | 13,350 | 13350 | |
is this possible ?
Welcome to the new platform of Programmer's Heaven! We apologize for the inconvenience caused, if you visited us from a broken link of the previous version. The main reason to move to a new platform
is to provide more effective and collaborative experience to you all. Please feel free to experience t... | 4 | [
-0.10595703125,
0.0390625,
-0.07421875,
0.033447265625,
-0.0810546875,
0.05517578125,
-0.00897216796875,
-0.00274658203125,
-0.026123046875,
-0.031982421875,
-0.0174560546875,
-0.087890625,
0.07470703125,
0.08642578125,
0.083984375,
-0.0245361328125,
-0.1337890625,
0.09912109375,
... | 13,351 | 13351 | |
e
Introduction
The transcendental functions in glibc were written by IBM as part of their ultimate math library implementation. The code seems to be based on [SGBB] and [AZ], but there are some differences in the
paper and the implementation in code. Since the code has not been adequately commented, someone relatively... | 4 | [
-0.10302734375,
-0.00775146484375,
-0.04833984375,
0.0098876953125,
0.0059814453125,
-0.0947265625,
0.0213623046875,
0.05322265625,
0.01483154296875,
0.0283203125,
0.0157470703125,
0.0107421875,
-0.005035400390625,
0.00408935546875,
0.019287109375,
-0.018798828125,
-0.00274658203125,... | 13,352 | 13352 | |
Projective Banach spaces
up vote 3 down vote favorite
1
Injective Banach spaces, with morphisms as contractive linear maps, have been classically studied (and are $C(K)$ spaces with $K$ Stonian). But what about projectives?
So $P$ will be projective if given Banach spaces $E$ and $F$ and a quotient map (aka metric su... | 5 | [
-0.08544921875,
-0.01446533203125,
-0.006988525390625,
0.0179443359375,
-0.0235595703125,
0.10791015625,
0.0299072265625,
-0.002227783203125,
0.00726318359375,
0.0546875,
0.05908203125,
-0.051025390625,
-0.11767578125,
0.044189453125,
0.04443359375,
-0.0220947265625,
-0.0056762695312... | 13,353 | 13353 | |
Transceiver designs and analysis for LTI, LTV and broadcast channels - new matrix decompositions and majorization theory
Citation
Liu, Chih-Hao (2013) Transceiver designs and analysis for LTI, LTV and broadcast channels - new matrix decompositions and majorization theory. Dissertation (Ph.D.), California Institute of
... | 4 | [
0.046875,
0.0166015625,
-0.02685546875,
-0.09130859375,
-0.042724609375,
-0.044921875,
-0.00078582763671875,
-0.033203125,
-0.0191650390625,
0.072265625,
-0.01953125,
0.0771484375,
0.04150390625,
-0.02734375,
-0.025146484375,
0.005889892578125,
-0.0018463134765625,
0.01416015625,
... | 13,354 | 13354 | |
Algorithm for finding the fewest rectangles to cover a set of rectangles
up vote 35 down vote favorite
35
I have a set of rectangles and I would like to "reduce" the set so I have the fewest number of rectangles to describe the same area as the original set. If possible, I would like it to also be fast,
but I am more ... | 4 | [
0.03076171875,
0.01544189453125,
0.048095703125,
-0.035400390625,
-0.00164794921875,
-0.07861328125,
0.02392578125,
-0.026123046875,
-0.06298828125,
-0.019287109375,
-0.0751953125,
0.001312255859375,
0.052490234375,
0.06103515625,
-0.0294189453125,
0.0289306640625,
0.0810546875,
0.... | 13,355 | 13355 | |
Simulating the Wave Equation on Triangle Meshes
The Basics
The wave equation is a classic equation in partial differential equations (PDEs). It has a number of uses in physics and is often used to explain energy transfer through space. It is an example of a
time-dependent equation, which simply means that the “soluti... | 4 | [
-0.09912109375,
0.016845703125,
0.0166015625,
0.0238037109375,
-0.056640625,
0.0072021484375,
-0.10546875,
-0.03173828125,
-0.03271484375,
0.017578125,
0.036865234375,
-0.0223388671875,
-0.0673828125,
-0.048095703125,
0.060791015625,
0.01531982421875,
-0.04345703125,
-0.05908203125... | 13,356 | 13356 | |
Show two groups are non-isomorphic. - My Math Forum
Quote:
Originally Posted by watson
Quick question: is G1/(Nx{e}) isomorphic to H?
if we write the "external semi-direct product" as an "internal semi-direct product" we have:
G = HN, with H?N = {e}, and by the second isomorphism theroem:
HN/N ? H/(H?N) = H/{e} = ... | 5 | [
-0.1083984375,
-0.042236328125,
0.058349609375,
-0.004791259765625,
-0.0014190673828125,
-0.0189208984375,
0.0262451171875,
0.0263671875,
-0.06298828125,
-0.169921875,
0.048583984375,
-0.052490234375,
-0.042724609375,
-0.034912109375,
-0.0159912109375,
0.0037689208984375,
0.017700195... | 13,357 | 13357 | |
Why Do We Learn Logarithms?
Date: 02/28/2005 at 11:31:45
From: Gary
Subject: What is the point of logarithms?????
I am an 8th grader currently studying logarithms in school and I was
wondering; what is the point of them. Did one guy say one day, "Hey,
let's torture children." Will we ever use them when we grow up, ... | 4 | [
-0.048095703125,
-0.0194091796875,
0.032958984375,
0.00093841552734375,
-0.0218505859375,
-0.0751953125,
0.011474609375,
0.025390625,
0.1103515625,
0.1015625,
0.0014190673828125,
0.0361328125,
-0.0035247802734375,
0.052001953125,
-0.0296630859375,
-0.044921875,
-0.181640625,
0.0522... | 13,358 | 13358 | |
Optimization Using the Second Derivative Test - Problem 1
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Optimization Using the Second Derivative Test - Problem 1 3,121 views
Another common optimization problem is to determine the dimensions of a box so tha... | 5 | [
0.07421875,
0.059326171875,
0.095703125,
0.0033721923828125,
0.034423828125,
-0.06298828125,
-0.02734375,
0.056396484375,
-0.053955078125,
0.050537109375,
-0.05126953125,
0.06689453125,
0.037841796875,
0.037109375,
-0.044921875,
0.034423828125,
-0.00543212890625,
0.031494140625,
... | 13,359 | 13359 | |
Weitzenböck Identity for $\Delta_{\bar{\partial}_E}$
up vote 6 down vote favorite
1
This question is related to this MO question and this MSE question.
Let $E$ be a hermitian holomorphic vector bundle over a hermitian manifold $X$. The bundle $\bigwedge^{\bullet,\bullet}X\otimes E$ has an induced hermitian metric. As... | 4 | [
-0.09814453125,
0.049072265625,
0.0947265625,
-0.036376953125,
-0.03271484375,
0.07080078125,
0.0966796875,
0.01300048828125,
0.003326416015625,
-0.0498046875,
0.0712890625,
-0.126953125,
-0.032470703125,
-0.00909423828125,
0.0927734375,
0.041259765625,
-0.043212890625,
0.046875,
... | 13,360 | 13360 | |
Geometric motivation for the Stanley-Reisner correspondence
up vote 8 down vote favorite
4
The Stanley-Reisner ring of an abstract simplicial complex $\Delta$ on the vertex set $\{1,...,n\}$ is the $k$-algebra $$ k[X_1,...,X_n]/I_\Delta $$ where $I_\Delta$ is the ideal generated by the $X_
{i_1}...X_{i_r}$ with ${i_1,... | 4 | [
-0.08642578125,
0.04248046875,
0.01092529296875,
-0.06787109375,
-0.033447265625,
0.0045166015625,
0.06005859375,
-0.020263671875,
0.04541015625,
-0.05859375,
-0.0022125244140625,
-0.0242919921875,
-0.036865234375,
-0.03515625,
-0.0101318359375,
0.0400390625,
0.0322265625,
0.048095... | 13,361 | 13361 | |
coderivation
nLab
coderivation
Definition
Given a (counital coassociative) $k$-coalgebra $(C,\Delta,\epsilon)$, a $k$-linear coderivation is a $k$-module map $D : C\to C$ satisfying the co-Leibniz rule
$\Delta \circ D = (D\otimes id + id \otimes D)\circ\Delta : C\to C\otimes C$
If the commutative ring $k$ is a fiel... | 4 | [
-0.046630859375,
-0.01495361328125,
-0.06884765625,
-0.056396484375,
-0.083984375,
0.06689453125,
-0.016357421875,
-0.052734375,
-0.0284423828125,
-0.017578125,
0.0693359375,
-0.0196533203125,
-0.0888671875,
-0.021240234375,
0.00579833984375,
0.03662109375,
-0.07763671875,
0.131835... | 13,362 | 13362 | |
Calculate $Hom$ in derived category
up vote 2 down vote favorite
2
Suppose $X$ is a smooth variety over $\mathbb{C}$. Let $K^{b}(X)$ be the homotopy category of bounded complex of coherent sheaves, and $D^{b}(X))$ be the derived category of bounded complex of
coherent sheaves. One can define: $$Hom^{\cdot}(A^{\cdot}, ... | 5 | [
-0.0361328125,
0.08251953125,
-0.056640625,
-0.016357421875,
-0.052734375,
-0.024169921875,
0.06689453125,
-0.06884765625,
-0.0269775390625,
0.06201171875,
0.06640625,
-0.06689453125,
-0.01336669921875,
-0.0301513671875,
0.09423828125,
0.103515625,
-0.044189453125,
0.0751953125,
... | 13,363 | 13363 | |
Euler 5
(Wrote this post last week, but accidentally posted it to the wrong blog!)
So, Hacker News brought me this post this morning, and I wanted to see how Perl 6 stacked up to Java / Scala. The answer turned out to be pretty poorly speed-wise, at least in my initial attempts.
But that’s a story for another post. R... | 4 | [
-0.03857421875,
0.0517578125,
-0.0068359375,
-0.0888671875,
0.05224609375,
-0.0079345703125,
0.057373046875,
0.0106201171875,
-0.035400390625,
0.007568359375,
-0.037841796875,
0.0166015625,
0.046630859375,
0.0174560546875,
-0.031982421875,
0.00262451171875,
0.00089263916015625,
0.0... | 13,364 | 13364 | |
3-D Coordinate Vector Transformation
Date: 8/27/96 at 1:37:56
From: Anonymous
Subject: 3-D Coordinate Vector Transformation
What is the approach to take for transforming one coordinate system to
another where it isn't just a translation transformation but also
rotations and even reflections? The general case is wher... | 5 | [
-0.08740234375,
-0.03271484375,
-0.0208740234375,
-0.09521484375,
-0.031982421875,
-0.031982421875,
-0.0186767578125,
-0.08740234375,
0.045654296875,
-0.003662109375,
-0.020751953125,
-0.009521484375,
-0.049072265625,
0.041259765625,
-0.06884765625,
-0.0247802734375,
-0.06640625,
0... | 13,365 | 13365 | |
Foliations by holomorphic curves on complex surfaces
up vote 10 down vote favorite
3
On a complex surface, does there exist a non-singular foliation by holomorphic curves that is NOT a holomorphic foliation, i.e. transversally holomorphic foliation? The surface should be compact and
can admit holomorphic foliations.
... | 4 | [
-0.052734375,
0.033203125,
-0.0267333984375,
0.06396484375,
-0.0220947265625,
-0.0732421875,
-0.00909423828125,
0.0693359375,
-0.046875,
-0.047119140625,
0.03125,
-0.0615234375,
-0.07177734375,
0.048583984375,
0.0703125,
-0.06396484375,
-0.138671875,
0.0233154296875,
0.0346679687... | 13,366 | 13366 | |
Pi and e In Binary
http://www.exploringbinary.com/pi-and-e-in-binary/
Some people are curious about the binary representations of the mathematical constants pi and e. Mathematically, they’re like every other irrational number — infinite strings of 0s and 1s (with no
discernible pattern). In a computer, they’re finite... | 5 | [
0.00439453125,
0.01434326171875,
-0.06494140625,
-0.0145263671875,
-0.047119140625,
-0.07958984375,
-0.0703125,
0.10888671875,
0.04443359375,
0.021484375,
-0.0498046875,
-0.037353515625,
0.0810546875,
-0.0224609375,
0.00157928466796875,
-0.125,
-0.03125,
-0.02685546875,
-0.028198... | 13,367 | 13367 | |
Weekly Problem 16 - 2011
Copyright © University of Cambridge. All rights reserved.
'Weekly Problem 16 - 2011' printed from http://nrich.maths.org/
Since the original triangle is isosceles and right-angled, folding it produces a smaller triangle, also isosceles and right-angled.
By Pythagoras' Theorem, the hypotenuse... | 4 | [
-0.07763671875,
0.0703125,
0.01348876953125,
-0.0179443359375,
0.042236328125,
0.04296875,
-0.0137939453125,
0.12890625,
-0.08740234375,
0.01031494140625,
0.051513671875,
-0.0147705078125,
-0.0390625,
0.11767578125,
0.03759765625,
0.0113525390625,
-0.0283203125,
0.014892578125,
-... | 13,368 | 13368 | |
Solving with the Pell Equation
Date: 11/15/2004 at 23:24:09
From: Matt
Subject: Integer Solutions greater than 1000 to x^2-29y^2=7
In class we are discussing how to solve problems of the form
x^2 - ny^2 = N for fixed (n,N). The process is fairly simple if
|N| < n^(1/2); however, how does one find solutions if |N| > ... | 5 | [
-0.0054931640625,
0.06787109375,
-0.0013580322265625,
0.0556640625,
-0.00732421875,
-0.0255126953125,
-0.02197265625,
0.02978515625,
-0.0556640625,
-0.009033203125,
-0.0625,
0.022705078125,
0.042724609375,
0.12158203125,
0.01495361328125,
0.0252685546875,
-0.00445556640625,
-0.0303... | 13,369 | 13369 | |
Practical Church Numerals in Scala
In my
previous post
, in which I was looking for uses of Scala's type infix operator, the examples I found all had to do with
Church Encoding
of integers. One of them was even a practical application: type-safe units calculations. I investigate that application in this post.
... | 4 | [
-0.11083984375,
0.01953125,
-0.02490234375,
-0.036376953125,
-0.0703125,
0.0274658203125,
0.00946044921875,
0.0035247802734375,
0.0224609375,
-0.0703125,
-0.033935546875,
0.048828125,
0.03271484375,
0.03515625,
-0.0252685546875,
-0.072265625,
-0.01190185546875,
0.12353515625,
-0.... | 13,370 | 13370 | |
A second megabyte of memory
The Gibbs sampler discussed on
Darren Wilkinson's blog
and also on
Dirk Eddelbuettel's blog
has been implemented in several languages, the first of which was
R
.
In preparation for a session at
useR!2012
on "What other languages should R users know about?", Dirk, Chris Fonnesbeck an... | 5 | [
-0.03759765625,
-0.061767578125,
-0.053466796875,
-0.0260009765625,
0.052978515625,
-0.024658203125,
0.0673828125,
0.0625,
-0.0177001953125,
-0.042236328125,
0.027099609375,
0.029296875,
0.04931640625,
0.057861328125,
0.042724609375,
-0.052001953125,
0.04150390625,
-0.035888671875,... | 13,371 | 13371 | |
math-Probablity
Posted by demi on Tuesday, June 5, 2012 at 3:16pm.
A student is writing a multiple choice test consisting of 40 questions, each of which provides four possible choices. He is certain that he has 16 questions correct. If he guesses for all of the
remaining 24 questions, what is the probability that he w... | 4 | [
0.12060546875,
0.01708984375,
-0.0211181640625,
-0.0238037109375,
-0.06494140625,
0.03662109375,
0.0576171875,
0.051025390625,
0.00982666015625,
0.0537109375,
0.0252685546875,
-0.021728515625,
0.03759765625,
0.0284423828125,
-0.017822265625,
0.0157470703125,
-0.1044921875,
-0.0625,... | 13,372 | 13372 | |
Teachers Network: TeachNet 2008 Grant:
Subject:MATH - ALGEBRA
Grade Level: 9
Materials: See Below
About: Students estimate the calories in various physical activities. They estimate the lung volume for their own height and age, and find their blood pressure using a monitor and understand whether
it is normal. By doi... | 4 | [
-0.01080322265625,
0.107421875,
-0.0004558563232421875,
0.052734375,
-0.052734375,
-0.0019989013671875,
0.0262451171875,
-0.0076904296875,
-0.00848388671875,
0.032958984375,
0.01434326171875,
0.0225830078125,
-0.004730224609375,
0.0286865234375,
0.006683349609375,
-0.024658203125,
-0... | 13,373 | 13373 | |
Inferring the physical connectivity of complex networks from their functional dynamics
Abstract
Background
Biological networks, such as protein-protein interactions, metabolic, signalling, transcription-regulatory networks and neural synapses, are representations of large-scale dynamic systems. The
relationship betwe... | 4 | [
-0.00531005859375,
-0.11767578125,
-0.0189208984375,
0.0390625,
-0.0284423828125,
0.01397705078125,
-0.054931640625,
-0.044189453125,
0.11865234375,
-0.09765625,
0.000644683837890625,
0.01318359375,
-0.01708984375,
0.037353515625,
-0.016357421875,
-0.0284423828125,
-0.11376953125,
... | 13,374 | 13374 | |
q-analog of the matrix exponential
up vote 4 down vote favorite
1
I am a fan of the Matrix exponential $\exp(X)$, defined for any complex matrix $X$ by \begin{equation*} \exp(X) := \sum_{k \ge 0} \frac{X^k}{k!}. \end{equation*}
I have a fleeting acquaintance with q-analog's (essentially, I know that they exist, but h... | 4 | [
-0.08837890625,
0.0244140625,
-0.1044921875,
0.041259765625,
-0.08056640625,
-0.00396728515625,
0.042236328125,
-0.057861328125,
0.1259765625,
0.057373046875,
0.07568359375,
0.00372314453125,
0.01446533203125,
0.06884765625,
0.08251953125,
0.072265625,
0.01611328125,
0.06591796875,... | 13,375 | 13375 | |
quadratic algebra
Definition
A (graded) quadratic algebra is an $\mathbb{N}$-graded algebra $A$ which as a graded algebra admits a presentation
$A \cong T(V)/I$
where $T(V)$ is the tensor algebra of a finite-dimensional vector space $V$ of degree 1, and $I$ is a ideal generated by a space $R \subseteq V \otimes V$ o... | 4 | [
-0.043701171875,
-0.0137939453125,
-0.0257568359375,
-0.036376953125,
-0.09814453125,
0.047119140625,
-0.026611328125,
-0.02880859375,
-0.0068359375,
-0.00921630859375,
0.0035400390625,
-0.050048828125,
-0.04931640625,
0.043212890625,
0.036376953125,
0.06591796875,
0.041748046875,
... | 13,376 | 13376 | |
Shells
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ┃
... | 4 | [
0.037109375,
0.04931640625,
0.076171875,
-0.0693359375,
-0.014404296875,
0.0146484375,
0.030517578125,
0.08984375,
-0.01153564453125,
-0.0074462890625,
0.078125,
-0.029296875,
0.043212890625,
-0.0400390625,
-0.00244140625,
-0.0177001953125,
-0.0245361328125,
0.05126953125,
0.0229... | 13,377 | 13377 | |
sheafification
Context
Topos Theory
Could not include topos theory - contents
Contents
Idea
Given a site $C$, the sheafification functor universally turns presheaves on $C$ into sheaves.
It is characterized as being the left adjoint functor $L : PSh(C) \to Sh(C)$ to the inclusion $Sh(C) \hookrightarrow PSh(C)$ of... | 4 | [
0.035888671875,
0.012939453125,
0.0390625,
-0.045166015625,
0.1357421875,
0.03662109375,
-0.001251220703125,
0.058837890625,
-0.037353515625,
0.0703125,
0.04296875,
-0.06884765625,
-0.01263427734375,
0.03271484375,
0.06103515625,
-0.042236328125,
0.07275390625,
0.0654296875,
-0.0... | 13,378 | 13378 | |
Integer numbers of the form $m = x^n + y^n$
up vote 5 down vote favorite
1
First of all, I am no number theorist, so this question may be a little dummy.
The two squares theorem imply that $m = x^2 + y^2$ for some (possible zero) integer numbers $x,y$ iff $m$ factors as $m = a b^2$, where $a$ has no prime factor $\eq... | 4 | [
0.031982421875,
-0.0167236328125,
-0.06591796875,
0.05029296875,
0.05078125,
-0.004791259765625,
0.05908203125,
-0.023681640625,
0.0279541015625,
-0.0595703125,
0.0108642578125,
0.048583984375,
0.00238037109375,
0.0308837890625,
0.056884765625,
0.0771484375,
0.01953125,
0.047119140... | 13,379 | 13379 | |
[SciPy-User] synchronizing timestamps from different systems; unpaired linear regression
Chris Rodgers xrodgers@gmail....
Thu Apr 12 00:02:47 CDT 2012
The platform is specialized because the data come from equipment in my
lab. One system is a 3KHz real-time operating system detecting voltage
pulses on one input. The ... | 4 | [
-0.1240234375,
-0.0130615234375,
0.0228271484375,
-0.0260009765625,
-0.01458740234375,
-0.095703125,
-0.006988525390625,
-0.0703125,
-0.0179443359375,
-0.10009765625,
-0.0289306640625,
-0.0159912109375,
0.017333984375,
-0.0201416015625,
0.0146484375,
-0.0012969970703125,
0.0476074218... | 13,380 | 13380 | |
Infinitely generated Kleinian groups
up vote 5 down vote favorite
1
Is it true that the Hausdorff dimension of the limit set of a Kleinian group is the supremum of Hausdorff dimensions of finitely generated subgroups [perhaps under addtional hypotheses?]I can't seem
to find a reference which proves (or disproves) this... | 5 | [
-0.06982421875,
-0.035400390625,
-0.04150390625,
0.076171875,
0.0400390625,
0.00131988525390625,
0.09326171875,
0.00506591796875,
-0.0169677734375,
-0.099609375,
0.08447265625,
-0.05859375,
0.06787109375,
-0.1142578125,
-0.0211181640625,
-0.0498046875,
-0.0341796875,
-0.01879882812... | 13,381 | 13381 | |
Kendall tau rank correlation coefficient
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 |
... | 4 | [
0.00946044921875,
-0.07470703125,
-0.0277099609375,
0.005767822265625,
0.00982666015625,
0.001678466796875,
0.01507568359375,
0.031494140625,
0.05517578125,
-0.00482177734375,
0.01055908203125,
0.056884765625,
0.042236328125,
0.037353515625,
-0.06396484375,
-0.03857421875,
-0.0078735... | 13,382 | 13382 | |
Iterative equalization for OFDM systems over wideband Multi-Scale Multi-Lag channels
Abstract
OFDM suffers from inter-carrier interference (ICI) when the channel is time varying. This article seeks to quantify the amount of interference resulting from wideband OFDM channels, which are assumed
to follow the multi-scale... | 4 | [
0.044921875,
0.00003886222839355469,
0.03857421875,
-0.0255126953125,
-0.06884765625,
-0.044189453125,
-0.0289306640625,
0.0186767578125,
-0.0296630859375,
-0.0260009765625,
-0.0289306640625,
0.08935546875,
-0.0167236328125,
-0.043212890625,
-0.002838134765625,
-0.004913330078125,
0.... | 13,383 | 13383 | |
When experimental mathematics fails
Interesting web technicality: Google has localized motls.blogspot.cz in many more smaller countries including Czechia, Slovakia, Denmark, and others.
Many of you have surely shared the following attitude of mine. Since I was a kid, I had a pragmatical and "physical" attitude to ... | 5 | [
-0.0322265625,
0.0279541015625,
-0.0177001953125,
0.037109375,
-0.0281982421875,
-0.061767578125,
-0.037109375,
0.07080078125,
-0.0238037109375,
0.0274658203125,
0.03173828125,
0.02197265625,
-0.0079345703125,
0.048583984375,
-0.0013275146484375,
-0.057373046875,
0.0054931640625,
-... | 13,384 | 13384 | |
le
General Conformity Training Module
Appendix A - Sample Emissions Calculations
1. External Combustion Sources
External combustion units such as boilers and space heaters provide heat for building HVAC systems, heating water, and generating steam. These units use natural gas, diesel, propane, coal, or other
petrol... | 5 | [
-0.0033721923828125,
-0.02880859375,
0.01336669921875,
0.01953125,
0.10986328125,
-0.010986328125,
-0.002655029296875,
0.05029296875,
-0.04345703125,
0.01129150390625,
-0.013916015625,
-0.08349609375,
-0.0004405975341796875,
-0.03271484375,
0.032958984375,
0.012939453125,
-0.00836181... | 13,385 | 13385 | |
Tricky Substitutions Involving Radicals - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Tricky Substitutions Involving Radicals - Concept 8,987 views
When an indefinite integral involves a function of x times the radical of another function of x, t... | 5 | [
-0.017333984375,
-0.03662109375,
0.10546875,
0.052734375,
0.00921630859375,
-0.0019989013671875,
-0.07861328125,
-0.00750732421875,
0.02294921875,
0.033203125,
0.05126953125,
0.01202392578125,
-0.042724609375,
0.0791015625,
0.01202392578125,
0.0264892578125,
-0.010009765625,
0.0932... | 13,386 | 13386 | |
A solution with cubic boundary elements for the compressible fluid flow around obstacles
Abstract
The paper presents a solution of the problem of the 2D compressible fluid flow around obstacles, based on the boundary element method in which the singular boundary integral equation is solved with
cubic boundary elements... | 4 | [
-0.0247802734375,
0.09423828125,
-0.00732421875,
-0.0274658203125,
0.05078125,
-0.061279296875,
0.008544921875,
-0.0074462890625,
-0.072265625,
-0.01300048828125,
-0.087890625,
-0.0439453125,
0.045654296875,
-0.0107421875,
-0.00372314453125,
-0.061279296875,
-0.07470703125,
0.02111... | 13,387 | 13387 | |
T-duality
Context
String theory
Physics
Differential cohomology
Duality
Contents
Idea
A $d$-dimensional sigma-model is a quantum field theory that is induced from certain differential geometric and differential cohomological data, to be thought of as encoding the background geometry
on which quantum objects of d... | 4 | [
-0.076171875,
-0.008544921875,
0.0283203125,
-0.040283203125,
-0.076171875,
0.00299072265625,
-0.03369140625,
0.1025390625,
0.078125,
-0.00445556640625,
0.039794921875,
0.030029296875,
-0.03076171875,
0.0458984375,
0.0556640625,
0.00096893310546875,
0.005340576171875,
0.01397705078... | 13,388 | 13388 | |
fast-opt
Overview
fast-opt implements multivariate density estimation via the Optional Polya Tree (OPT) (Wong and Ma, 2010). Continuous and discrete variables are supported. However, categorical variables are not yet
supported. There are also options for performing a copula transform via OPT and also multi-class clas... | 5 | [
0.0250244140625,
-0.034423828125,
-0.01422119140625,
0.045654296875,
-0.01171875,
-0.02294921875,
0.02734375,
-0.01446533203125,
-0.0458984375,
0.00927734375,
0.06787109375,
0.00958251953125,
-0.061767578125,
0.01422119140625,
-0.028076171875,
0.004547119140625,
0.09228515625,
0.02... | 13,389 | 13389 | |
The unity ..
February 26th 2010, 12:23 PM #1
Newbie
Joined
Feb 2010
From
jordan
Posts
6
The unity ..
Hi all ,
i want to ask you about the unity .. what do we mean about " this ring has unity and that ring without unity.."
and how i can find the all units in " ring whit unity" for example Z10... | 4 | [
-0.0859375,
0.025634765625,
-0.08203125,
0.052001953125,
-0.0135498046875,
-0.0230712890625,
0.10205078125,
-0.004180908203125,
-0.000759124755859375,
-0.12255859375,
0.0189208984375,
-0.0040283203125,
0.12255859375,
-0.02685546875,
-0.0260009765625,
-0.06494140625,
-0.00141143798828... | 13,390 | 13390 | |
mathschallenge.net
Composite Fibonacci Terms
Problem
Let $F_n$ represents the $n^{th}$ term of the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, ... .
Prove that for all composite values of $n \gt 4, F_n$ is composite.
Solution
We shall begin by proving Lemma 1: $F_{m+n} = F_{m-1}F_{n} + F_{m}F_{n+1}$.
Using this res... | 5 | [
-0.0230712890625,
0.015869140625,
0.028076171875,
-0.0267333984375,
0.033935546875,
0.0198974609375,
-0.007354736328125,
0.08447265625,
-0.00848388671875,
-0.0030975341796875,
-0.05517578125,
-0.01043701171875,
-0.01104736328125,
0.00102996826171875,
-0.057373046875,
-0.044189453125,
... | 13,391 | 13391 | |
A random walk on natural numbers
up vote 4 down vote favorite
We are taking a random walk on the set of natural numbers. If we are at $M$, then with probability 1/4, we stay at $M$, with probability 5/12 we move to some random number less than or equal to $M/
2$, and with probability 1/3, we move to a random greater t... | 5 | [
-0.03076171875,
-0.1015625,
0.032470703125,
0.05029296875,
0.04345703125,
-0.0234375,
0.036376953125,
0.064453125,
0.0137939453125,
0.06591796875,
-0.0595703125,
0.0059814453125,
-0.008056640625,
-0.020751953125,
-0.013427734375,
-0.020263671875,
0.03076171875,
0.037353515625,
0.... | 13,392 | 13392 | |
abc conjecture
Contents
Idea
The abc conjecture (or ABC conjecture) is a number theoretic conjecture due to (Oesterlé-Masser 1985), which says that there are only finitely many integer solutions to the equation
$a + b = c \;\;\; for a,b,c \geq 1 \in \mathbb{N}$
(or instead $a+b+c= 0$) if one requires the integer nu... | 4 | [
-0.08837890625,
-0.0157470703125,
-0.049072265625,
0.05517578125,
-0.018798828125,
0.0400390625,
0.037841796875,
0.005584716796875,
0.0177001953125,
-0.019287109375,
-0.08203125,
0.000058650970458984375,
0.042236328125,
0.049072265625,
0.0284423828125,
0.05322265625,
-0.05810546875,
... | 13,393 | 13393 | |
Understanding the FDTD Method
I once considered publishing a book on the finite-difference time-domain (FDTD) method based on notes I wrote for a course I taught. But, why go through the hassle of publishing through a publisher
when you can give away something for free? (Okay, I can think of several reasons, but I’m go... | 4 | [
-0.076171875,
0.0693359375,
0.0177001953125,
0.022705078125,
0.10595703125,
0.0380859375,
-0.0274658203125,
0.05908203125,
0.05078125,
0.0859375,
0.003997802734375,
0.0732421875,
0.038330078125,
-0.0849609375,
-0.05419921875,
-0.06005859375,
0.00168609619140625,
-0.07373046875,
-... | 13,394 | 13394 | |
Posts about Uncategorized on networkscience
Good news for the network analysis community: A new very large Web hyperlink dataset was recently released: the Web Data Commons Hyperlink Graph consisting of 3.56 billion pages and 129 billion
hyperlinks connecting them! For comparison, the Facebook friendship graph is re... | 4 | [
-0.037841796875,
-0.06298828125,
-0.012939453125,
0.02587890625,
0.049072265625,
-0.0123291015625,
-0.11474609375,
-0.0189208984375,
-0.031494140625,
0.01251220703125,
0.056640625,
0.04345703125,
-0.0164794921875,
0.0017547607421875,
-0.033203125,
0.047119140625,
0.039306640625,
-0... | 13,395 | 13395 | |
A000537 - OEIS
A000537 Sum of first n cubes; or n-th triangular number squared. 108
(Formerly M4619 N1972)
0, 1, 9, 36, 100, 225, 441, 784, 1296, 2025, 3025, 4356, 6084, 8281, 11025, 14400, 18496, 23409, 29241, 36100, 44100, 53361, 64009, 76176, 90000, 105625, 123201, 142884, 164836, 189225, 216225,
24601... | 4 | [
-0.0089111328125,
-0.0296630859375,
-0.10205078125,
-0.05029296875,
-0.08203125,
0.007781982421875,
-0.01409912109375,
0.021484375,
0.0145263671875,
-0.0106201171875,
-0.033447265625,
-0.00494384765625,
0.036376953125,
0.0078125,
-0.078125,
-0.01446533203125,
0.017333984375,
-0.058... | 13,396 | 13396 | |
Algebra Word Problem Solver
Examples - see how we will help!
Example Solving Word Problems > algebra applications > geometry > triangles
See Other Triangle Word Problem Examples solved by the Algebra Word Problem Solver: area, perimeter, sides
What You Enter
Find the area of a triangle with a base of 10 inches and ... | 4 | [
-0.0201416015625,
0.0771484375,
-0.015869140625,
-0.0064697265625,
-0.019287109375,
-0.02294921875,
-0.0247802734375,
0.125,
-0.10693359375,
0.032958984375,
-0.0036773681640625,
-0.08251953125,
-0.00185394287109375,
0.11767578125,
0.1083984375,
0.037841796875,
-0.051513671875,
0.03... | 13,397 | 13397 | |
PROGRAMMING INTERVIEWS
Question: You are given a rod of length 'L' and an array of prices where price at each index is the price obtained by selling rod of length equal to that index. You need to find the maximum price,
you can get by selling pieces of rod.
Note: Rod can be sold in as many pieces of integer length as ... | 5 | [
0.0027008056640625,
0.0732421875,
-0.0216064453125,
-0.07080078125,
-0.0517578125,
-0.04833984375,
0.034423828125,
0.0517578125,
-0.0390625,
0.032958984375,
-0.12060546875,
0.0068359375,
0.04150390625,
0.07568359375,
-0.0057373046875,
0.0390625,
-0.0242919921875,
0.0771484375,
-0... | 13,398 | 13398 | |
Sprague-Grundy sequence for the ruler game
up vote 3 down vote favorite
Consider the game "Ruler", which is defined as follows. We start with finitely many coins in a line. A move in this game consists of turning over any number of coins, but they must be consecutive,
and the rightmost coin must be turned from heads t... | 5 | [
-0.09814453125,
0.0283203125,
0.0016937255859375,
-0.078125,
-0.03466796875,
-0.005523681640625,
0.0634765625,
0.00970458984375,
-0.031494140625,
0.0257568359375,
-0.0498046875,
0.04345703125,
0.048583984375,
-0.037353515625,
-0.057373046875,
-0.01068115234375,
0.03369140625,
0.013... | 13,399 | 13399 |