content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Brute force lattice problems
up vote 1 down vote favorite
What are the easiest brute force algorithms for solving closest and shortest vector problems?
I want to find an arbitrary, but small ($\lesssim 20$) number of lattice vectors closest to a given point. Since I consider low spatial dimension of four or less, the... | 4 | [
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0.058349609375,
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-0.041259765625,
-0.0284423828125,
-0.007720947265625,
-0.0771484375,
0.028076171875,
0.0281982421875,
0.051025390625,
-0.060546875,
-0.00970458984375,
0.08447265625... | 13,500 | 13500 | |
CLISP - an ANSI Common Lisp
Hi
I ran the maxima versions(5.9.0) compiled with clisp(2.31) and
gclisp(2.5.0) for exact same problems. The build_info for both is included.
OS ENVIRONMENT: CYGWIN under WINXP
CYGWIN { 2003/08/31 12:05:44 Starting cygwin install, version 2.340.2.5 }
Here is what I am getting as output:
... | 5 | [
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-0.125,
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0.03759765625,
0.00946044921875,
0.042724609375,
-0.002777099609375,
-0.04907226... | 13,501 | 13501 | |
proving that an inclusion map from a subcomplex is a homotopy equivalence
up vote 2 down vote favorite
This is a pretty basic question but I have been stuck on it for a while.
Given an abstract simplicial complex X and a subcomplex A, why does * suffice to show that the map |A|->|X| induced by inclusion is a homotopy... | 4 | [
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0.033935546875,
-... | 13,502 | 13502 | |
A Square of Numbers
Copyright © University of Cambridge. All rights reserved.
We have been inundated with solutions for this problem - you obviously liked it! However, very few of you sent in a complete solution, but well done to Joshua, James, Arabella and Jessica from
Aldermaston School who mentioned that:
The ... | 4 | [
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0... | 13,503 | 13503 | |
Single-Link, Complete-Link & Average-Link Clustering
There is now an updated and expanded version of this page in form of a book chapter.
Single-Link, Complete-Link & Average-Link Clustering
Hierarchical clustering treats each data point as a singleton cluster, and then successively merges clusters until all points h... | 4 | [
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... | 13,504 | 13504 | |
Manhattan GMAT Challenge Problem of the Week – 1 Apr 10
Welcome back to this week’s Challenge Problem! As always, the problem and solution below were written by one of our fantastic instructors. Each challenge problem represents a 700+ level question. If
you are up for the challenge, however, set your timer for 2 mins ... | 4 | [
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0.09326171875,
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Peierls bracket
Context
Physics
Symplectic geometry
Background
Basic concepts
Classical mechanics and quantization
Contents
Idea
Given an (local) action functional, the Peierls bracket (Peierls 52) is a refinement to covariant phase space of the “canonical” symplectic Poisson bracket of the corresponding prequa... | 4 | [
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0.1416015625,
0.049072265625,
-0.08984375,
-0.008422851562... | 13,506 | 13506 | |
Steinberg Group as a Lattice in a lie group
up vote 4 down vote favorite
Given an integral domain $R$, the Steinberg group $St_n(R)$ is the group given by generators
$e_{pq}(\lambda) := \mathbf{1} + a_{pq}(\lambda)$, $p\neq q$, $1\leq p,q \leq n$
Subject to the relations
$$ e_{ij}(\lambda) e_{ij}(\mu) &= e_{ij... | 5 | [
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Fluorescence Correlation Spectroscopy
FCS – the methodology
FCS is a spectroscopic method. The "cuvette" in this case is a diffraction limited spot (Figure 1). Thus, the reason one uses a microscope is to have a high numerical aperture lens which focuses the
beam into a femtoliter sized spot. A welcome side-effect of ... | 4 | [
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-0.0174560546875,
-... | 13,508 | 13508 | |
Manin-Drinfeld and constructing a finite morphism with two given ramification points
up vote 1 down vote favorite
Fix a smooth projective connected curve $X$ over $\overline{\mathbf{Q}}$ of genus $g\geq 1$ and distinct points $x,y \in X$ such that $x-y$ has infinite order in the Jacobian.
Can we always find a finite ... | 5 | [
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-0.051025390625,
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Scaling Laws in the Distribution of Galaxies - B.J.T. Jones et
al.
B. The correlation function: galaxies
The definition of the correlation function used in cosmology differs slightly from the definition used in other fields. In cosmology we have a nonzero mean field (the mean density of the Universe)
superposed on whi... | 4 | [
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Hi I Couldn't Reach The Correct Answer For The ... | Chegg.com
Power - to drive the truck of incline 4degree slope
Hi
I couldn't reach the correct answer for the following question. Cananyone please advise?
Question :
A truck of 15Mg is driven at a constant speed of 30kmh^-1 up a 4^o incline. The aerodynamic dragfor... | 4 | [
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Rings — A Primer
Previously on this blog, we’ve covered two major kinds of algebraic objects: the vector space and the group. There are at least two more fundamental algebraic objects every mathematician should
something know about. The first, and the focus of this primer, is the ring. The second, which we’ve mentione... | 4 | [
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Input data quality control for NDNQI national comparative statistics and quarterly reports: a contrast of three robust scale estimators for multiple outlier detection
Abstract
Background
To evaluate institutional nursing care performance in the context of national comparative statistics (benchmarks), approximately on... | 4 | [
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Vertex
Name: Gordon
Status: student
Age: N/A
Location: N/A
Country: N/A
Date: N/A
Question: dealing with a parabola of the form y=ax^2+bx+c that passes through 3 given points, I need expressions f... | 4 | [
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0.03125,
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0.0275878... | 13,514 | 13514 | |
Lawvere theory
Context
Higher algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category presentations
Geometry on formal duals of algebras
Theorems
Contents
Idea
The notion of Lawvere theory is a joint generalization of the notions of group, ring, associative algebra, etc.
In his 1963 do... | 4 | [
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0.00189... | 13,515 | 13515 | |
s theorem
Pappus’s theorem, in mathematics, theorem named for the 4th-century Greek geometer Pappus of Alexandria that describes the volume of a solid, obtained by revolving a plane region D about a line L not
intersecting D, as the product of the area of D and the length of the circular path traversed by the centroid ... | 4 | [
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0.02587890625,
... | 13,516 | 13516 | |
Mathematical Models for HIV Transmission Dynamics: Tools for... : JAIDS Journal of Acquired Immune Deficiency Syndromes
The basic routes of HIV transmission between persons are now well understood and widely known, but the determinants of the disparities in HIV prevalence and trends among populations remain an area of
... | 4 | [
-0.0284423828125,
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0.04248046875,
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Anatomy of a Project Euler problem, and, some remarks on the OEIS
by James Somers, March 12, 2009
[This post turned into a kind of narrative about solving a particular problem, which I'm happy with, but if you're interested in my general remarks about the online encyclopedia of integer sequences
(the original intenti... | 5 | [
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0.01495361328... | 13,518 | 13518 | |
Is there any transitivity for separable algebras?
up vote 6 down vote favorite
2
If $R$ is a commutative ring (with $1$), then an $R$-algebra $A$ is said to be separable if $A$ is projective as an $A$-$A$-bimodule. (The notion of an "$A$-$A$-bimodule" includes the requirement
that $R$ acts the same way from the left a... | 4 | [
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0.0888671875,
0.02917480468... | 13,519 | 13519 | |
ib
#include <boost/math/distributions/laplace.hpp>
namespace boost{ namespace math{
template <class RealType = double,
class Policy = policies::policy<> >
class laplace_distribution;
typedef laplace_distribution<> laplace;
template <class RealType, class Policy>
class laplace_distribution
{
public:
t... | 4 | [
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0.0302734375,
-0.0888671875,
-0.00738525390625,
-0.032... | 13,520 | 13520 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
'Area L' printed from http://nrich.maths.org/
Let $f(x)$ be a continuous increasing function in the interval $a\leq x\leq b$ where $0 < a < b$ and $0\leq f(a) < f(b)$. Prove the following formula: $$\int_{f(a)}^{f(b)} f^{-1}(t)dt + \int_a^bf(x)... | 4 | [
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0.091796875,
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0.05859375,
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0.01141357421875,
0.029052734375,
0.06640625,
-0.029296875,
0.052490234375,
0.050048828125,
0.018310546875,
-0.... | 13,521 | 13521 | |
Question about topological monoid maps
up vote 7 down vote favorite
4
Let Mon be the category of topological monoids. I am happy to work with the model structure mentioned here:
Model Structure/Homotopy Pushouts in topological monoids?.
I'm looking for a reference for the following statement, which I believe to be t... | 4 | [
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0.076171875,
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0.0301513671875,
0... | 13,522 | 13522 | |
Math Forum: Ask Dr. Math FAQ: Age Word Problems
A problem with one variable: How old is Al?
Many single-variable algebra word problems have to do with the relations between different people's ages. For example:
Al's father is 45. He is 15 years older than twice Al's age. How old is Al?
We can begin by assigning ... | 4 | [
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0.095703125,
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0.03125,
... | 13,523 | 13523 | |
Schwager Volatility Ratio Amibroker AFL code and Analysis
What is Volatility ratio?
The Term Volatility ratio is coined by Jack D. Schwager to identify trading range and potential trend reversal. The values of the volatility ratio range from 0.01-1.00 and typically traders predicts
the reversal points if the value sho... | 4 | [
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-0.0235595703125,
0.025... | 13,524 | 13524 | |
Is projectiveness a Zariski-local property of modules? (Answered: Yes!)
up vote 14 down vote favorite
9
I know that for a finitely presented $A$-module $M$ ($A$ a commutative ring), TFAE:
1) $M$ is projective;
2) $M$ is max-locally free, meaning that $M_m$ is free for every maximal ideal $m$;
3) $M$ is prime-locally ... | 4 | [
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0.052490234375,
-0.016357421... | 13,525 | 13525 | |
.
Annu. Rev. Astron. Astrophys. 1994. 32: 319-70
Copyright © 1994 by . All rights reserved
3. POWER SPECTRUM
3.1. Power Spectrum on Large Scales
Let us take the power spectrum of primordial fluctuations to be a power law in comoving wavenumber k. In the "processed" radiation power spectrum, this simple power ... | 4 | [
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0.003387451171875,
-... | 13,526 | 13526 | |
Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings
We discuss the newly introduced concept of cone metric spaces. We also discuss the fixed point existence results of contractive mappings defined on such metric spaces. In particular, we show that
most of the new results are merely copies of ... | 5 | [
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-0.029418945312... | 13,527 | 13527 | |
Compute a square root (with restrictions)
This is a discussion on Compute a square root (with restrictions) within the Contests Board forums, part of the Community Boards category; Originally Posted by Salem Is it the one which involves
interesting use of '0x5f3759df' ? That is one option, but ...
Huge hint
As p... | 5 | [
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The definition of dissipative set
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
What does it means "dissipative set" in the following context:
"If the set contains $3^n$ integer numbers, t... | 5 | [
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Topic: The Unsolved Problems web site
Replies: 4 Last Pos... | 5 | [
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Square Roots in Equations
Date: 06/12/97 at 23:32:10
From: Carrie Carlson
Subject: Algebra
I'm supposed to solve this:
2(x-4)^2 - 3 = 13
Math is my worst subject. Here's what I think:
2(x-4) - 3 = sqrt(13) or 2(x-4) - 3 = sqrt-(13)
2x - 8 - 3 = sqrt(13) or 2x - 8 - 3 = sqrt-(13)
2x - 5 = sqrt(13) or ... | 4 | [
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0.052490234375,
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Calculational proofs are usually direct
jd2718 asked in his blog if anyone knew a direct proof of the irrationality of $\sqrt{2}$. In this post I present a proof that, even if some don’t consider it direct, is a nice example of the
effectiveness of calculational proof. But first, there are two concepts that need to be... | 5 | [
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Does there exist a surreal long line?
up vote 3 down vote favorite
Does there exist a totally-ordered-without-endpoints proper class $L$ such that every closed interval in $L$ does have the order type of a closed interval in the Conway's surreal numbers, but $L$ as
a whole does not have the order type of Conway's surr... | 4 | [
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0.005859375,
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-0.0598144... | 13,533 | 13533 | |
Fixed point iteration
Fixed point iteration
A fixed point for a function is a point at which the value of the function does not change when the function is applied. More formally,
x
is a fixed point for a given function
f
if
and the fixed point iteration
converges to the a fixed point if
f
is continuous... | 5 | [
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0.042724609375,
-0.05444335937... | 13,534 | 13534 | |
Application of the shooting method to second-order multi-point integral boundary-value problems
Abstract
In this paper, we focus on the following second-order multi-point integral boundary-value problem:
where , for and are given constants. The proof is based on the shooting method. By constructing a quadratic fu... | 5 | [
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Heat capacity of a coffee cup calorimeter.
1.
Member
Medical Student
Join Date
Jun 2011
Location
Houston, Texas
Posts
41
How do you solve for the heat capacity of a calorimeter?
2.
Junior Member
Pre-Dental
Join Date
Mar 2011
Posts
... | 4 | [
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my slice of pizza
Puzzle via blogs
Researchers in histogram construction (yes, there are several) will recognize the following problem: given an array A of size N, for
each
interval [l,r] in [1,N],
determine the median of items in the interval A[l],A[l+1],....,A[r]. How quickly can one solve this problem? I had a f... | 5 | [
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0.048828125,
0.01708984375,
... | 13,537 | 13537 | |
Models
TCP Limitation Models
Mathis Equation
The Mathis equation states that, for a small loss rate (less than 1%), the maximum achievable throughput of a TCP connection is limited by: Rate <= (MSS/RTT)*(1 / sqrt{p}) where MSS is Maximum
Segement Size
RTT is Round Trip Time as measured by TCP
p is the probability ... | 4 | [
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0.0223388671875,
-0.018310546875,
0.07080078125,
-0.03198242... | 13,538 | 13538 | |
[SciPy-user] generalized eigenvalue problem for sparse matrices
abhinav sarkar abhinav.sarkar@gmail....
Tue Apr 15 09:43:38 CDT 2008
On Tue, Apr 15, 2008 at 6:24 PM, Neilen Marais <nmarais@sun.ac.za> wrote:
> Abinav,
>
> On Tue, 15 Apr 2008 01:50:20 +0530, abhinav sarkar wrote:
>
> > Hi
>
> > n = 3
> > h = 1.0/(... | 5 | [
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-0.... | 13,539 | 13539 | |
Imposing constraints on the between-studies covariance matrix
Hi metaSEM users,
I'm currently trying to use metaSEM to implement a network meta-analysis (i.e., a meta-analysis of different treatment comparisons; see Salanti, 2012). One important aspect of multivariate
implementations of network meta-analysis is that t... | 4 | [
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0.0245361328125,
0.0795... | 13,540 | 13540 | |
Inverse of arg(z)
Date: 10/10/2003 at 14:40:08
From: Debbie
Subject: the function arg(z)
I would like to know if there is an inverse to the function arg(z).
In other words, if I know, for example, that arg(z) < 0, what can I
say about z? Should it be positive, negative, real, imaginary?
Another example: if arg(y) ... | 4 | [
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0.0625,
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-0.0045166015625,
0.003875732421875,
-0.00109100341796875,
-0.... | 13,541 | 13541 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
'Square Areas' printed from http://nrich.maths.org/
The area of the inner square has area of 0.2 square units. First draw the original square, then remove the triangles. The triangles can then be added to the trapeziums to make four equal squar... | 4 | [
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0.056396484375,
-0.08935546875,
0.00518798828125,
0.0126953125,
0.0... | 13,542 | 13542 | |
4.2.2 Bayesian Equilibrium
120 CHAPTER 4 Bayesian Games ·························································································· · · · · · · · If the set of players, the sets of players' actions, and the sets
of players' types are finite, · · then there necessarily exists at least one mixed Bayesian e... | 5 | [
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0.0380859375,
0.004791259765625,
-0.029296875,
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superextensive site
Context
Topos Theory
Could not include topos theory - contents
Conntents
Idea
A superextensive site is a site whose covering families can be reduced to single covers combined with stable coproducts. Many naturally occuring sites are superextensive. The prefix ‘super-’ is
opposite to ‘sub-’ as i... | 4 | [
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... | 13,544 | 13544 | |
Cartan homotopy
Let $\mathfrak{g}$ and $\mathfrak{h}$ be differential graded Lie algebras and $\boldsymbol i\colon \mathfrak{g}\to \mathfrak{h}[-1]$ be a morphism of graded vector spaces. Define $\boldsymbol l:\
mathfrak{g}\to \mathfrak{h}$ as
$\boldsymbol l_{a}= d_{\mathfrak{h}} \boldsymbol i_{a} + \boldsymbol i_{d_{... | 4 | [
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0.05102539... | 13,545 | 13545 | |
Measurement: Volume of Cubes and Cuboids
What is the unknown edge of each of the cuboids below? a) Volume = 600 cm3 Volume = Length × Breadth × Height 600 = 12 × Breadth × 5 Breadth = 600 12 × 5 = 10 cm b) Volume = 4500 cm3 Volume = Length
× (Breadth × Height) = Length × (Area of shaded face) 4500 = Length × 150 Length... | 4 | [
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Field
May 13th 2012, 05:12 AM
saravananbs
Field
If R is commutative intergal domain. and K is a subring of R such that K is field. if R is considered as vector space over K, it is of finite dimension. prove that R is field.
can any one explain, please.
May 13th 2012, 11:33 AM
Deveno
Re: Field
let a ... | 5 | [
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... | 13,547 | 13547 | |
ar
Sort by:
Per page:
Now showing results 1-10 of 15
In this activity, a three-part questionnaire launches students on discussions about where objects in space are located, and when they formed. By physically manipulating images of objects in space,
students represent their own mental models of space... (View More) ... | 4 | [
0.0303955078125,
-0.045654296875,
0.0028839111328125,
0.017578125,
-0.04931640625,
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0.052978515625,
0.07275390625,
0.0849609375,
0.02197265625,
0.004547119140625,
-0.05126953125,
0.08984375,
-0.041015625,
-0.024658203125,
-0.033447265625,
-0.01123046... | 13,548 | 13548 | |
Inequalities and Negative Numbers
Date: Mon, 7 Nov 1994 12:40:55 -0500
From: Steve Barkin
Subject: Inequality
When multiplying both sides of an inequality by a negative number,
why does the inequality sign change?
Chris Graham and Parks
Steve Barkin
Graham & Parks School
Cambridge, Ma 02139
From: Dr. Ken
Date: Mo... | 4 | [
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0.0390625,
-0.006134033203125,
-0.0162353515625,
0.0291748046875,
-0.012939... | 13,549 | 13549 | |
Nonexistence of determinantal functional equation for $\arccos$
up vote 7 down vote favorite
Suppose I have distinct real numbers $a_i \in [-1,1]$, $i \in [k]$. I want to choose real numbers $b_j, j\in [k]$ such that the matrix $(\arccos(a_i b_j))_{i,j \in [k]}$ is nonsingular.
Is this always possible? Equivalent... | 5 | [
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0.0037841796875,
0.036376953125,
0.0771484375,
-0.0099487304687... | 13,550 | 13550 | |
Notes on the quantum of thermal conductance
The following is a dump from LaTex, just to see what happens…
begin{abstract} In this module we derive the quantum of thermal conductance, and along the way, concepts related to phonon density of states and spatial dimensionality are discussed and applied. The
end result is... | 4 | [
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Using the longest significance run to estimate region-specific p-values in genetic association mapping studies
Abstract
Background
Association testing is a powerful tool for identifying disease susceptibility genes underlying complex diseases. Technological advances have yielded a dramatic increase in the density of ... | 4 | [
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0.048095703125,
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0.01... | 13,552 | 13552 | |
Graph rigidity reveals well-constrained regions of chromosome conformation embeddings
Abstract
Background
Chromosome conformation capture experiments result in pairwise proximity measurements between chromosome locations in a genome, and they have been used to construct three-dimensional models of
genomic regions, ch... | 4 | [
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0.00099945068359375,
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0.0... | 13,553 | 13553 | |
dy
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Insanity Group Title
1) Find the flux of t... | 5 | [
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0.03466796875,
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0.058837890625,
-0.061035156... | 13,554 | 13554 | |
T
Statistical Power Analysis with Microsoft Excel: Normal Tests for One or Two Means as a Prelude to Using Non-Central Distributions to Calculate Power
António Teixeira, Álvaro Rosa and Teresa Calapez
IBS – ISCTE Business School (Lisbon)
Journal of Statistics Education Volume 17, Number 1 (2009), www.amstat.org/publ... | 5 | [
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ifferentials
Differentiation: How rapidly does something change?
The velocity is the rate of change of displacement. Let's look at a very simple case. The strange man in this animation is moving in a straight line at a constant speed of one metre per second.
This means that, for each second he travels, his dis... | 4 | [
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... | 13,556 | 13556 | |
Area bounded by...
June 3rd 2009, 07:51 PM
CalculusDUMMIE
Area bounded by...
Area of region bounded by the graphs of x = y^2 and x = y+ 2
graph the area bounded by y= x^2 + 1 and y = -x + 3
find the volume of the solid formed by revolving the area about the x-axis.
harder ones i assume?
graph t... | 4 | [
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0.0208740234375,
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0.00872802734375,
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0.01043701171875,
0.080078125,
-0.02587890625,
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0.00199890136718... | 13,557 | 13557 | |
Vedic Mathematics Lesson 43: Polynomial Division 1
Most of us are familiar with the multiplication of polynomials. It is one of the first things taught in algebra. Polynomial multiplication, as you are well aware, involves the application of the
distributive property of multiplication over addition, the addition of exp... | 5 | [
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0.03125,
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[SciPy-dev] reimplementation of lfilter
Ralf Gommers ralf.gommers@googlemail....
Tue Sep 22 20:40:48 CDT 2009
On Tue, Sep 22, 2009 at 9:01 PM, Sturla Molden <sturla@molden.no> wrote:
> Ralf Gommers skrev:
> > Sure, I know. The docs I linked have improvements over svn. If you
> > merge your changes, there'll be a con... | 4 | [
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A question about homeomorphic subsets of Hilbert space
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let H be a an infinite dimensional and separable Hilbert space. Let C be a closed and bounded subset of H that is not c... | 5 | [
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Converting repeating decimals to fractions
When converting repeating decimals to fractions, just follow the two steps below carefully.
Step 1:
Let x equal the repeating decimal you are trying to convert to a fraction
Step 2:
Examine the repeating decimal to find the repeating digit(s)
Step 3:
Place the repea... | 4 | [
-0.06396484375,
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0.1230468... | 13,561 | 13561 | |
QIC goodness of fit statistic for GEE models
This example uses the repeated measures data from the "Six Cities" study of the health effects of air pollution (Ware et al., 1984). These data are discussed and analyzed in the Getting Started
section of the GENMOD documentation. Below, a series of calls of the %QIC... | 4 | [
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Focus Change Due to Temperature Variation
The focal length of a telescope is fixed. Optical elements may change slightly due to temperature changes, but generally this has a minimal effect on focus.
What you have to worry about is the focal plane moving, and the focus changing, when the telescope tube expands or cont... | 5 | [
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... | 13,563 | 13563 | |
approximation of the identity
“Approximation of the identity” is a rubric for a general technique in functional analysis for proving that certain inclusions of topological vector spaces are dense. It refers to the fact that an
identity for a convolution product (aka “Dirac distribution”) may not literally exist in a pa... | 5 | [
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0.0247802734375... | 13,564 | 13564 | |
small object
Context
Compact objects
objects $d \in C$ such that $C(d,-)$ commutes with certain colimits
Models
Relative version
Small objects
Definition
An object $X$ of a category is small if it is $\kappa$-compact for some regular cardinal $\kappa$ (and therefore also for all greater regular cardinals as well... | 4 | [
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0.089843... | 13,565 | 13565 | |
ACT
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
ACT Pre-Algebra 5,332 views
I'm planning a party after a football game. Now I know the players are going to be really, really hungry. So I figured out I need about two pies for every three players. But her... | 4 | [
0.01019287109375,
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... | 13,566 | 13566 | |
In Stitches
After doing the back-stitching on a few of the letters in this counted cross stitch pattern, I wondered if there would always be an even amount of stitches in the outline of a block shape.
Problem:
Define a "block shape" as any shape that can be created by coloring in squares on graph paper. Each squar... | 4 | [
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-0.0296630859375,
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0.02124023... | 13,567 | 13567 | |
powers in strings
up vote 4 down vote favorite
I have a feeling that the following question might have been studied: Suppose I have a finite alphabet $A,$ with $|A| = n,$ and a string $S$ of length $N.$ A string can be said to contain a $k$-th
power, if $$S = S_1 S_2^k S_3,$$ where exponentiation means that $S_2$ is r... | 5 | [
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... | 13,568 | 13568 | |
F.p. groups where all elements of the same order are conjugate
up vote 5 down vote favorite
2
The question I want to ask is related to the Boone-Higman conjecture (see Embedding in f.p. simple groups for the details).
We discussed recently with Ievgen Bondarenko this conjecture and he noticed that it would follow if ... | 5 | [
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-0.07373046875... | 13,569 | 13569 | |
Engineering Electromagnetics 8th Edition Textbook Solutions | Chegg.com
Question:
Given the vectors M = ‒10ax + 4ay − 8az and N = 8ax + 7ay − 2az, find: (a) a unit vector in the direction of −M + 2N; (b) the magnitude of 5ax + N − 3M; (c) |M||2N|(M + N).
1.1. Given the vectors M = -10ax + 4ay - 8az and N = 8ax + 7ay... | 5 | [
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-0.... | 13,570 | 13570 | |
Optimal two-stage strategy for detecting interacting genes in complex diseases
Abstract
Background
The mapping of complex diseases is one of the most important problems in human genetics today. The rapid development of technology for genetic research has led to the discovery of millions of
polymorphisms across the hu... | 4 | [
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0.037109375,
-0.032... | 13,571 | 13571 | |
Weil divisors on non Noetherian schemes
up vote 5 down vote favorite
3
Let X be an integral scheme that is separated (say over an affine scheme). Define a Weil divisor as a finite integral combination of height 1 points of X, where the height of a point of X is the
dimension of its local ring. Let Z be a closed subsch... | 5 | [
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-0.0039978... | 13,572 | 13572 | |
Writing Linear Equations in Standard Form
Finding an Equation for a Line Passing Through Two Points
Two points determine a line and that there is exactly one line that goes through any two distinct points. This can also be illustrated using a ruler, and showing that if two points are specified,
then the ruler can onl... | 4 | [
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0... | 13,573 | 13573 | |
suspension of a chain complex
nLab
suspension of a chain complex
Context
Homological algebra
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Contents
Idea
In a category of chain complexes $Ch_\bullet(\mathcal{A})$, the suspension object of a chain complex $C_\b... | 4 | [
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-0.044921875,
-0.08984375,
0.058837890625... | 13,574 | 13574 | |
selberg trace from classical physics
up vote 2 down vote favorite
1
considering the Hamitlonian for the Selberg Operator $ y^{2} ( \partial _{x}^{2}+ \partial _{y}^{2}) $ given in the Hamiltonian form
$ H=g_{ab}p^{a}p^{b} $ with $ ds^{2} = \frac{dx^{2}+dy^{2}}{y^{2}}$ being the metric
can we obtain from this H the f... | 4 | [
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-0.04... | 13,575 | 13575 | |
Section 6-7
Section 6.7
Integration: Geometry
Midpo... | 4 | [
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... | 13,576 | 13576 | |
Is projectivity local on the base?
up vote 9 down vote favorite
3
Let $f:X\to Y$ be a morphism of schemes and assume that $Y$ has an open cover $\{U_i\}$ such that $f:f^{-1}U_i\to U_i$ is projective. Does it follow that $f$ is projective?
ag.algebraic-geometry
3 I'm not an expert, and it seems that you have some ... | 5 | [
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... | 13,577 | 13577 | |
s
Notice. The Knot Atlas is now recovering from a major crash. Hopefully all functionality will return slowly over the next few days. --Drorbn (talk) 21:23, 4 July 2013 (EDT)
5 1
From Knot Atlas
See the full Rolfsen Knot Table.
(KnotPlot
image) Visit 5 1's page at the Knot Server (KnotPlot driven, in... | 4 | [
-0.111328125,
0.0111083984375,
0.0172119140625,
0.010498046875,
-0.02197265625,
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0.005828857421875,
0.06640625,
0.028564453125,
0.08349609375,
0.0673828125,
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-0.0201416015625,
-0.08447265625,
0.051025390625,
-0.1220703125,
0.0412597656... | 13,578 | 13578 | |
Using Permutations in .NET for Improved Systems Security
Dr. James McCaffrey
Volt Information Sciences, Inc.
August 2003
Applies to:
Microsoft® .NET
C#
Summary: Permutations are the backbone of all modern cryptosystems. By using permutations, you can increase the security of software systems. This article ... | 5 | [
-0.09814453125,
0.046142578125,
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-0.026123046875,
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0.007476806640625,
-0.04296875,
0.04833... | 13,579 | 13579 | |
The Hyperbola - Concept
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The Hyperbola - Concept 24,321 views
A hyperbola is a type of conic section that is formed by intersecting a cone with a plane, resulting in two parabolic shaped pieces that open either ... | 4 | [
0.087890625,
-0.02685546875,
0.035400390625,
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0.0120849609375,
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0.044921875,
0.0322265625,
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0.03857421875,
0.0296630859375,
-0.001007080078125,
0.0390625,
-0.012451171875,
0.09814453125,
0.00133514404296875,
-0.07666015625... | 13,580 | 13580 | |
Voltmeter design
Question 1:
Suppose I were about to measure an unknown voltage with a manual-range voltmeter. This particular voltmeter has several different voltage measurement ranges to choose from:
• 500 volts
• 250 volts
• 100 volts
• 50 volts
• 25 volts
• 10 volts
• 5 volts
What range would be b... | 5 | [
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0.0986328125,
-0.03857421875,
-0.025390625,
0.06982421875,
0.09228... | 13,581 | 13581 | |
Solving Quadratic Equations
Solving Quadratic Equations
A quadratic equation is an equation of the form,
ax^2 + bx + c = 0 ,
where a, b, and c are real numbers, with a ≠ 0 . The condition, a ≠ 0 , ensures that the
equation actually does have a x^2-term. When solving quadratic equations, we consider
two cases: b = 0... | 4 | [
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0.0390625,
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0.052490234375,
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0.07421875,
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0.0908203125,
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0.06689453125,
-0.0007476806640625,
0.0341796875,
-0.0177001953125,
0.00306701660... | 13,582 | 13582 | |
Handshakes at a Party
Date: 6/23/96 at 21:27:42
From: Anonymous
Subject: Handshakes at a Party
If there is a party and every person shakes hands with each other
once, and there are 45 handshakes, how many people are there at the
party?
I don't have a clue how to solve it.
Date: 6/24/96 at 5:48:58
From: Doctor Ant... | 4 | [
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0.017578125,
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-0.062255859375,
-0.093... | 13,583 | 13583 | |
[Numpy-discussion] How to solve homogeneous linear equations with NumPy?
[Numpy-discussion] How to solve homogeneous linear equations with NumPy?
Charles R Harris charlesr.harris@gmail....
Thu Dec 3 00:04:05 CST 2009
On Wed, Dec 2, 2009 at 10:40 PM, Peter Cai <newptcai@gmail.com> wrote:
> How to solve homogeneous li... | 5 | [
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0.058349609375,
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0.04931640625,
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0.11376953125,
-0.0291748046875,
-0.070312... | 13,584 | 13584 | |
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DLS Group Title
Matrix question!
• one ... | 5 | [
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-0.049072265625,
-0.06884765625,
0.03955078125,
0.01275634765625,
0.010... | 13,585 | 13585 | |
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Bailey.Nae Group Title
Find the equation o... | 4 | [
-0.09228515625,
-0.03515625,
-0.06494140625,
-0.047607421875,
0.01239013671875,
-0.00933837890625,
0.0042724609375,
-0.01141357421875,
-0.044677734375,
-0.03271484375,
0.04052734375,
-0.056640625,
0.055419921875,
-0.059814453125,
0.0263671875,
0.059326171875,
-0.1103515625,
-0.0708... | 13,586 | 13586 | |
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Andresfon12 Group Title
Int^ln2_0 int^ln5_... | 5 | [
0.015380859375,
0.01708984375,
0.09423828125,
-0.10693359375,
0.0908203125,
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0.01519775390625,
0.005615234375,
-0.0869140625,
0.047607421875,
0.08447265625,
0.0135498046875,
-0.04443359375,
0.07568359375,
0.0169677734375,
0.08056640625,
-0.08544921875,
-0.0155029296875,... | 13,587 | 13587 | |
an example of a Morse-Bott function
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Hi, I want to find an example of a Morse-Bott function such that for at least one of the critical submanifolds, the orientation sheaf O ... | 4 | [
-0.09375,
-0.024658203125,
0.0113525390625,
0.001617431640625,
0.03466796875,
0.0205078125,
0.00775146484375,
0.0654296875,
-0.0322265625,
-0.0294189453125,
0.037353515625,
0.0069580078125,
-0.006195068359375,
0.0625,
-0.00726318359375,
-0.04052734375,
-0.04443359375,
-0.0029754638... | 13,588 | 13588 | |
Precalculus Archive | April 11, 2011 | Chegg.com
I need help figuring out this question:(I included example 4 and it's solution to help with the problem) Please help, thank you!
In 2006, the state of Kansas had four area codes. Using the information abut telephone numbers given in Example 4, how many telephone numbers... | 4 | [
0.020263671875,
0.00555419921875,
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0.068359375,
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0.03564453125,
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0.027587890625,
0.07861328125,
-0.0174560546875,
-0.049560546875,
0.0225830078125,
-0.043212890625,
... | 13,589 | 13589 | |
Morse theory and homology of an algebraic surface (example)
up vote 16 down vote favorite
7
Let $T_n$ denote the $n$-th Chebyshev polynomial and define $$f_n(x,y,z):=T_n(x)+T_n(y)+T_n(z)\;\;\;\text{ and}$$ $$Z_n:=\mathcal{Z}(f_n) \subseteq \mathbb{R}^3,$$ the Banchoff-Chmutov surface, where
in general, $\mathcal{Z}(f_... | 5 | [
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0.007659912109375,
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-0.03857421875,
-0.12060546875,
-0.058... | 13,590 | 13590 | |
Restriction of a complex polynomial to the unit circle
up vote 27 down vote favorite
5
I am pretty sure that the following statement is true. I would appreciate any references (or a proof if you know one).
Let $f(z)$ be a polynomial in one variable with complex coefficients. Then there is the following dichotomy. Eit... | 4 | [
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0.0191650390625,
-0.0830078125,
-0.0174560546875,
-0.... | 13,591 | 13591 | |
Re: simple and beauty strategy
Why we have been traped in the puzzle all the time?whats that problem?
Answer..Halting problem
http://en.wikipedia.org/wiki/Halting_problem
In computability theory, the halting problem is a decision problem
which can be stated as follows: given a description of a program,
decide whe... | 4 | [
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-0.0341796875,
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-0.0810546875,
-0.... | 13,592 | 13592 | |
Computable number
In
mathematics
, theoretical
computer science
and
mathematical logic
, the
computable numbers
are the subset of the
real numbers
consisting of the numbers which can be computed by a finite, terminating
algorithm
. They can be defined equivalently using the axioms
recursive functions
,
... | 4 | [
0.0017547607421875,
-0.09521484375,
-0.1005859375,
-0.047607421875,
-0.058349609375,
0.01129150390625,
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0.003204345703125,
0.0810546875,
0.0035858154296875,
-0.06640625,
0.052490234375,
0.00933837890625,
0.08837890625,
-0.0164794921875,
-0.10107421875,
-0.053955078125,
... | 13,593 | 13593 | |
Beads on a Bracelet
Date: 05/09/97 at 10:10:38
From: Anonymous
Subject: Question
Dear Dr. Math,
I know that the number of circular permutations is (n - 1)! and that
the number of circular permutations on a key ring is (n-1)!/2.
How many different arrangements of 3 red and 3 blue beads on a
bracelet are there? The ... | 5 | [
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0.0517578125,
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0.05224609375,
-0.0498046875,
0.044677734375,
0.0830078125,
-0.00531005859375... | 13,594 | 13594 | |
The sound of my inner nerd rolling around in slippery numerical joy
Ok. Time for me to explain and solve the algebra thing I
posted a couple days ago
.
It really is easy.
I swear.
First, let's look at the top one.
30xy = x squared.
Divide both sides by x and you see that
30y=x.
Save that for a little later. Le... | 4 | [
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-0.0052490234375,
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0.057861328125,
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... | 13,595 | 13595 | |
Resurrection axioms and uplifting cardinals
• J. D. Hamkins and T. Johnstone, “Resurrection axioms and uplifting cardinals,” Archive for mathematical logic, vol. 53, iss. 3-4, p. p. 463–485, 2014.
@ARTICLE{HamkinsJohnstone2014:ResurrectionAxiomsAndUpliftingCardinals,
AUTHOR = "Joel David Hamkins and Thomas ... | 4 | [
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-0.1171875,
0.066... | 13,596 | 13596 | |
Other Math Archive | June 11, 2011 | Chegg.com
Other Math Archive: Questions from June 11, 2011
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• ValuableSpoon1626 asked
1 answer
• A... | 4 | [
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0.029541015625,
0.03515625,
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0.06103515625,
-0.0986328125,
0.025634765625,
-0.017... | 13,597 | 13597 | |
Understanding Tangents and Normals with Wolfram|Alpha—Wolfram|Alpha Blog
Finding the tangents and normals of a mathematical function or relation is one of the most common exercises in any calculus course. In this post, I’ll show you the newest functionality in Wolfram|
Alpha for discovering and investigating them.
The... | 4 | [
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0.01416015625,
-0.06933593... | 13,598 | 13598 | |
Repetitions of the totient
up vote 3 down vote favorite
In a program I'm writing I'm using that the function:
$rphi(1) = 0$
$rphi(n) = 1+rphi(phi(n))$
grows very slowly. Judging from https://oeis.org/A003434 it would seam like it is approximately logarithmic.
I was wondering if there are any known bounds on this f... | 4 | [
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0.041259765625,
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0.0181884765625,
-0.0130615234375,
-0.01031494140625,
-0.01031494140625,... | 13,599 | 13599 |