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In many introductory courses to quantum mechanics, we see $\delta$-functions all over the place. For example when expressing an arbitrary wave function $\psi(x)$ in the basis of eigenfunctions of the position operator $\hat x$ as $$ \psi(x) = \int\mathrm d\xi\, \delta(x-\xi)\, \psi(\xi). $$ In bra-ket notation this cor... | CommonCrawl |
\begin{document}
\maketitle
\begin{abstract} We give a finite axiomatization for the variety generated by relational, integral ordered monoids. As a corollary we get a finite axiomatization for the language interpretation as well. \\ {\sc Keywords:} finite axiomatizability, algebras of relations, language algebras \... | arXiv |
OSA Publishing > Optica > Volume 7 > Issue 12 > Page 1820
Prem Kumar, Editor-in-Chief
Free-electron shaping using quantum light
Valerio Di Giulio and F. Javier García de Abajo
Valerio Di Giulio1 and F. Javier García de Abajo1,2,*
1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, ... | CommonCrawl |
Tagged: vector
Are these vectors in the Nullspace of the Matrix?
Let $A=\begin{bmatrix}
1 & 0 & 3 & -2 \\
0 &3 & 1 & 1 \\
\end{bmatrix}$. For each of the following vectors, determine whether the vector is in the nullspace $\calN(A)$.
(a) $\begin{bmatrix}
-3 \\
\end{bmatrix}$
(b) $\begin{bmatrix}
(c) $\begin{bmatrix}
(d... | CommonCrawl |
\begin{document}
\title[Quasiconformal extension for harmonic mappings]{Quasiconformal extension for harmonic mappings on finitely connected domains}
\author[I. Efraimidis]{Iason Efraimidis} \address{Department of Mathematics and Statistics, Texas Tech University, Box 41042, Lubbock, TX 79409, United States} \email... | arXiv |
Suppose that $(u_n)$ is a sequence of real numbers satisfying
\[u_{n+2}=2u_{n+1}+u_n\]and that $u_3=9$ and $u_6=128$. What is $u_5$?
Let $u_4 = a.$ Then $u_5 = 2u_4 + u_3 = 2a + 9$ and $u_6 = 2u_5 + u_4 = 2(2a + 9) + a = 5a + 18 = 128.$ Solving for $a,$ we find $a = 22,$ so $u_5 = 2 \cdot 22 + 9 = \boxed{53}.$ | Math Dataset |
EURASIP Journal on Advances in Signal Processing
Consistent independent low-rank matrix analysis for determined blind source separation
Daichi Kitamura1 na1 &
Kohei Yatabe2 na1
EURASIP Journal on Advances in Signal Processing volume 2020, Article number: 46 (2020) Cite this article
Independent low-rank matrix analysis ... | CommonCrawl |
Higgs-Mechanism: Why are gauge boson masses not protected by gauge symmetry
In non-spontaneously broken QFT like QED the gauge bosons cannot have a mass due to gauge symmetry (follows from Ward identity). Also they have only 2 polarizations.
However in a spontaneously broken gauge theory the gauge boson becomes massive... | CommonCrawl |
\begin{document}
\title{Linear statistics of matrix ensembles in classical background } \author{Yang Chen and Chao Min\\ (yangbrookchen@yahoo.co.uk, chaominrunner@gmail.com)\\ Department of Mathematics, University of Macau,\\ Avenida da Universidade, Taipa, Macau, China}
\date{\today}
\maketitle \begin{abstract} Giv... | arXiv |
\begin{document}
\baselineskip 13pt \pagestyle{myheadings} \thispagestyle{empty} \setcounter{page}{1}
\title[]{A note on vanishing of equivariant differentiable cohomology of proper actions and application to CR-automorphism and conformal groups} \author[]{Oliver Baues} \address{Department of Mathematics\\ Univ... | arXiv |
Asymptotic behavior of solutions of a nonlinear degenerate chemotaxis model
DCDS-B Home
Analysis of nanofluid flow past a permeable stretching/shrinking sheet
November 2020, 25(11): 4127-4164. doi: 10.3934/dcdsb.2020091
Analyzing plasmid segregation: Existence and stability of the eigensolution in a non-compact case
Ev... | CommonCrawl |
Many years ago I finished my PhD, entitled "The Mathematicization of Nature" (1998, LSE), in which I discussed the applicability of mathematics, the Quine-Putnam indispensability argument and considered a number of nominalist responses to it, in the end rejecting them all. The monograph Burgess & Rosen 1997, A Subject ... | CommonCrawl |
Alternative splicing links histone modifications to stem cell fate decision
Yungang Xu ORCID: orcid.org/0000-0002-9834-30061,2 na1,
Weiling Zhao1,2 na1,
Scott D. Olson3,
Karthik S. Prabhakara3 &
Xiaobo Zhou1,2
Understanding the embryonic stem cell (ESC) fate decision between self-renewal and proper differentiation is i... | CommonCrawl |
\begin{document}
\title{Multistep Multiappliance Load Prediction}
\begin{abstract}
A well-performing prediction model is vital for a recommendation system suggesting actions for energy-efficient consumer behavior. However, reliable and accurate predictions depend on informative features and a suitable model design... | arXiv |
\begin{document}
\title{Family Column Generation: A Principled Stabilized Column Generation Approach} \begin{abstract} We tackle the problem of accelerating column generation (CG) approaches to set cover formulations in operations research. At each iteration of CG we generate a dual solution that approximately solves ... | arXiv |
Fundamental lemma of the calculus of variations
In mathematics, specifically in the calculus of variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not a single point. Accordingly, the necessary condition of extremum (functional derivative equal zero) appears in a weak ... | Wikipedia |
Pyramidal Cells are present in the cerebral cortex and the hippocampus. They exhibit non linear summation of inputs, with dendritic compartments acting as individual subunits capable of producing their own spikes. These dendrites then project to the cell body, where all dendritic signals are summed and integrated to de... | CommonCrawl |
Contact, Hours, etc.
Trace: • filters-lab
Messy, Non-linear, Non-normal Model
System or Transition Model
Observation or Sensor Model
True values and input data
In this lab you will implement a simple particle filter and test your implementation. There will be no report, just print out a few runs. Please do not take the... | CommonCrawl |
\begin{document}
\title{Geometric Spanning Cycles in Bichromatic Point Sets}
\begin{abstract} Given a set of points in the plane each colored either red or blue, we find non-self-intersecting geometric spanning cycles of the red points and of the blue points such that each edge of the red spanning cycle is crossed at... | arXiv |
Zariski's main theorem
In algebraic geometry, Zariski's main theorem, proved by Oscar Zariski (1943), is a statement about the structure of birational morphisms stating roughly that there is only one branch at any normal point of a variety. It is the special case of Zariski's connectedness theorem when the two varieti... | Wikipedia |
For spiked population model, we investigate the large dimension $N$ and large sample size $M$ asymptotic behavior of the Support Vector Machine (SVM) classification method in the limit of $N,M\rightarrow\infty$ at fixed $\alpha=M/N$. We focus on the generalization performance by analytically evaluating the angle betwee... | CommonCrawl |
Solutions of the Yang-Baxter matrix equation for an idempotent
NACO Home
Nonmonotone retrospective conic trust region method for unconstrained optimization
2013, 3(2): 327-345. doi: 10.3934/naco.2013.3.327
An adaptive wavelet method and its analysis for parabolic equations
Qiang Guo 1, and Dong Liang 1,
Department of M... | CommonCrawl |
\begin{document}
\setlength{\abovedisplayskip}{1.0ex} \setlength{\abovedisplayshortskip}{0.8ex}
\setlength{\belowdisplayskip}{1.0ex} \setlength{\belowdisplayshortskip}{0.8ex} \title{\large \textsc{Set-oriented numerical computation of rotation sets}
\begin{abstract}
\noindent
We establish a set-oriented algorithm ... | arXiv |
\begin{document}
\title{On the Existential Fragments of Local First-Order Logics with Data}
\begin{abstract}We study first-order logic over unordered structures
whose elements carry a finite number of data values from an infinite domain which can be compared wrt. equality. As the satisfiability problem for this log... | arXiv |
Exponential factorial
The exponential factorial is a positive integer n raised to the power of n − 1, which in turn is raised to the power of n − 2, and so on in a right-grouping manner. That is,
$n^{(n-1)^{(n-2)\cdots }}$
The exponential factorial can also be defined with the recurrence relation
$a_{1}=1,\quad a_{... | Wikipedia |
For a positive integer $p$, define the positive integer $n$ to be $p$-safe if $n$ differs in absolute value by more than $2$ from all multiples of $p$. For example, the set of $10$-safe numbers is $\{ 3, 4, 5, 6, 7, 13, 14, 15, 16, 17, 23, \ldots\}$. Find the number of positive integers less than or equal to $10,000$ w... | Math Dataset |
Genome-wide association and epidemiological analyses reveal common genetic origins between uterine leiomyomata and endometriosis
C. S. Gallagher1 na1,
N. Mäkinen2 na1,
H. R. Harris3 na1,
N. Rahmioglu4 na1,
O. Uimari ORCID: orcid.org/0000-0002-8954-29005,6,
J. P. Cook7,
N. Shigesi5,
T. Ferreira4,8,
D. R. Velez-Edwards9,... | CommonCrawl |
\begin{definition}[Definition:Natural Numbers/Inductive Set Definition]
Let $x$ be a set which is an element of every inductive set.
Then $x$ is a natural number.
{{expand|Context needs some explanation}}
\end{definition} | ProofWiki |
\begin{document}
\title[]{An infinite-dimensional affine stochastic volatility model} \author{Sonja Cox, Sven Karbach, Asma Khedher}
\thanks{This research is partially funded by The Dutch Research Council
(NWO) (Grant No: C.2327.0099)}
\begin{abstract} We introduce a flexible and tractable infinite-dimensional s... | arXiv |
OSA Publishing > Optical Materials Express > Volume 10 > Issue 11 > Page 2834
Alexandra Boltasseva, Editor-in-Chief
Collective phenomena in Dy-doped silver halides in the near- and mid-IR
Andrey G. Okhrimchuk, Andrey D. Pryamikov, Kirill N. Boldyrev, Leonid N. Butvina, and Evgeni Sorokin
Andrey G. Okhrimchuk,1,* Andrey... | CommonCrawl |
# Understanding the Discrete Fourier Transform
The DFT is based on the Fourier series, which is a mathematical representation of a periodic function. The Fourier series decomposes a periodic function into its constituent frequencies. In the context of audio processing, the DFT is used to analyze the frequency cont... | Textbooks |
\begin{document}
\title{Trees of fusion systems} \thanks{Accepted for publication subject to revisions by Journal of Algebra, October 2013}
\author{Jason Semeraro} \address{Institute of Mathematics, University of Oxford, 24-29 St Giles, Oxford} \email{semeraro@maths.ox.ac.uk} \maketitle
\begin{abstract} We define a ... | arXiv |
Reproducible quantification of cardiac sympathetic innervation using graphical modeling of carbon-11-meta-hydroxyephedrine kinetics with dynamic PET-CT imaging
Tong Wang†1, 2,
Kai Yi Wu†1,
Robert C. Miner1,
Jennifer M. Renaud1,
Rob S. B. Beanlands1 and
Robert A. deKemp1Email authorView ORCID ID profile
Received: 21 Mar... | CommonCrawl |
\begin{definition}[Definition:Ultrafilter on Set/Definition 4]
Let $S$ be a non-empty set.
Let $\FF$ be a non-empty set of subsets of $S$.
Then $\FF$ is an '''ultrafilter''' on $S$ {{iff}} both of the following hold:
:$\FF$ has the finite intersection property
:For all $U \subseteq S$, either $U \in \FF$ or $U^\complem... | ProofWiki |
Only show content I have access to (36)
Only show open access (5)
Last 12 months (6)
Last 3 years (14)
Over 3 years (67)
Physics and Astronomy (23)
Materials Research (10)
Area Studies (1)
Proceedings of the International Astronomical Union (10)
MRS Online Proceedings Library Archive (9)
Proceedings of the Nutrition So... | CommonCrawl |
\begin{definition}[Definition:Involution (Mapping)/Definition 2]
Let $A$ be a set.
Let $f: A \to A$ be a mapping on $A$.
$f$ is an '''involution''' {{iff}}:
:$\forall x, y \in A: \map f x = y \implies \map f y = x$
\end{definition} | ProofWiki |
\begin{document}
\title{Fault-tolerant quantum computing with color codes}
\author{Andrew J. \surname{Landahl}} \email[]{alandahl@sandia.gov} \affiliation{Advanced Device Technologies,
Sandia National Laboratories,
Albuquerque, NM, 87185, USA} \affiliation{Center for Quantum Information and ... | arXiv |
Gerrymandering and the whole community
The US Supreme Court's decision to hear the Gill v. Whitford gerrymandering case is raising hopes that the judicial system will reign in the worst abuses of partisan electoral districting. Academics are partly to thank for the success of the legal challenge so far: the initial Dis... | CommonCrawl |
\begin{document}
\title[Average number of zeros of characters]{Average number of zeros of characters of finite groups}
\author{Sesuai Yash Madanha} \address{Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa} \email{sesuai.madanha@up.ac.za}
\thanks{}
\subjclass[2... | arXiv |
Estimating $\sum_{x_i < X} \prod_i \phi(x_i)/ \mathrm{lcm}(x_i)^a$
Asked 1 year, 6 months ago
I would like to estimate from above the following sum
$$ \sum_{1 \leq x_1 < X} .. . \sum_{1 \leq x_n < X} \frac{\prod_{1 \leq i \leq n } \phi(x_i)}{\mathrm{lcm}(x_1, .., x_n)^a}. $$ $\phi$ is the Euler totient function and $a$... | CommonCrawl |
# Fundamentals of probability theory
Probability distributions are used to describe the likelihood of different outcomes in a random experiment. The most common probability distributions include the binomial distribution, Poisson distribution, and normal distribution.
Conditional probability is the probability of... | Textbooks |
Abstract: NI2.00002 : Improving Cryogenic-DT Implosion Performance on OMEGA
T.C. Sangster
(Laboratory for Laser Energetics, U. of Rochester)
Although cryogenic-DT implosion performance has improved both in absolute terms and relative to hydro simulations, a number of long-standing discrepancies remain unresolved. Absol... | CommonCrawl |
Experimental investigation on a novel approach for laser surface hardening modelling
L. Orazi1,2,
A. Rota3,4 &
B. Reggiani1,4
Laser surface hardening is rapidly growing in industrial applications due to its high flexibility, accuracy, cleanness and energy efficiency. However, the experimental process optimization can b... | CommonCrawl |
Performance Modeling and Analysis
Performance Modeling and Analysis - History
Performance modeling and analysis has been and continues to be of great practical and theoretical importance in research labs in the design development and optimization of computer and communication systems and applications. This includes a b... | CommonCrawl |
Cauchy principal value
In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined. In this method, a singularity on an integral interval is avoided by limiting the integral interval to the singularity ... | Wikipedia |
\begin{document}
\begin{CJK*}{GBK}{song}
\title{Quantum discord and its asymptotic behaviors in a time-dependent $XY$ spin chain}
\author{Jian Zhang} \email{zhangjianphy@gmail.com} \affiliation{Key Laboratory of Cluster Science of Ministry of Education and School of Chemistry, Beijing Institute of Technology, Beijin... | arXiv |
Karl Bobek
Karl Joseph Bobek (1855–1899) was a German mathematician working on elliptic functions and geometry.
References
• Karl Bobek at the Mathematics Genealogy Project
External links
• Works by Karl Bobek at Project Gutenberg
• Works by or about Karl Bobek at Internet Archive
Authority control
Internat... | Wikipedia |
Compute $139+27+23+11$.
Since addition is associative, we can rearrange the terms:
$139+27+23+11=(139+11)+(27+23)=150+50=\boxed{200}$. | Math Dataset |
Anniversaries (Ukrainian)
Yurij Makarovich Berezansky (the 80th anniversary of his birth)
Gorbachuk M. L., Gorbachuk V. I., Kondratiev Yu. G., Kostyuchenko A. G., Marchenko V. O., Mitropolskiy Yu. A., Nizhnik L. P., Rofe-Beketov F. S., Samoilenko A. M., Samoilenko Yu. S.
Full text (.pdf)
Ukr. Mat. Zh. - 2005. - 57, № 5... | CommonCrawl |
Asymptotic behavior of traveling waves for a three-component system with nonlocal dispersal and its application
Perturbed fractional eigenvalue problems
December 2017, 37(12): 6257-6289. doi: 10.3934/dcds.2017271
Two dimensional Riemann problems for the nonlinear wave system: Rarefaction wave interactions
Eun Heui Kim ... | CommonCrawl |
Charles Marie de La Condamine
Charles Marie de La Condamine (28 January 1701 – 4 February 1774) was a French explorer, geographer, and mathematician. He spent ten years in territory which is now Ecuador, measuring the length of a degree of latitude at the equator and preparing the first map of the Amazon region based ... | Wikipedia |
Does venturi effect helps in reducing temperature of a room?
I clearly didn't understand how this works, but the explanation and claim that it reduce the temperature of room by 5°c made me wonder, here I am trying to understand the Venturi-effect on temperature
This is something I found on web, Using old soda bottle an... | CommonCrawl |
Number: The Language of Science
Number: The Language of Science: A Critical Survey Written for the Cultured Non-Mathematician is a popular mathematics book written by Russian-American mathematician Tobias Dantzig. The original U.S. publication was by Macmillan in 1930.[1] A second edition (third impression) was publis... | Wikipedia |
\begin{document}
\title[Factorization of bivariate sparse polynomials]{Factorization of bivariate sparse polynomials}
\author[Amoroso]{Francesco Amoroso} \address{Laboratoire de
math\'ematiques Nicolas Oresme, CNRS UMR 6139, Universit\'e de
Caen. BP 5186, 14032 Caen Cedex, France} \email{francesco.amoroso@unic... | arXiv |
We develop a family of infinite-dimensional (non-parametric) manifolds of probability measures. The latter are defined on underlying Banach spaces, and have densities of class $C_b^k$ with respect to appropriate reference measures. The case $k=\infty$, in which the manifolds are modelled on Fréchet spaces, is included.... | CommonCrawl |
\begin{document}
\title{On the Axiomatizability of Quantitative Algebras}
\author[R.\ Mardare]{Radu Mardare}
\address{Dept.\ of Computer Science, Aalborg University, Denmark}
\email{mardare@cs.aau.dk}
\author[P.\ Panangaden]{Prakash Panangaden}
\address{School of Computer Science, McGill University,... | arXiv |
\begin{document}
\begin{abstract} We describe three-dimensional terminal toric flips. We obtain the complete local description of three-dimensional terminal toric flips. \end{abstract}
\title{Three-dimensional terminal toric flips}
\section{Introduction} The main purpose of this paper is to describe three-dimens... | arXiv |
Relativistic quantum mechanics
In physics, relativistic quantum mechanics (RQM) is any Poincaré covariant formulation of quantum mechanics (QM). This theory is applicable to massive particles propagating at all velocities up to those comparable to the speed of light c, and can accommodate massless particles. The theor... | Wikipedia |
Cycle rank
In graph theory, the cycle rank of a directed graph is a digraph connectivity measure proposed first by Eggan and Büchi (Eggan 1963). Intuitively, this concept measures how close a digraph is to a directed acyclic graph (DAG), in the sense that a DAG has cycle rank zero, while a complete digraph of order n ... | Wikipedia |
\begin{document}
\begin{frontmatter}
\title{Gibbs cluster measures on configuration spaces}
\author[Leeds]{Leonid Bogachev\fnref{t1,t2}\corref{cor1}} \ead{L.V.\,Bogachev@leeds.ac.uk} \author[York]{Alexei Daletskii\fnref{t2}} \ead{ad557@york.ac.uk}
\address[Leeds]{Department of Statistics, University of Leeds, Leeds... | arXiv |
Quantifier elimination
Quantifier elimination is a concept of simplification used in mathematical logic, model theory, and theoretical computer science. Informally, a quantified statement "$\exists x$ such that $\ldots $" can be viewed as a question "When is there an $x$ such that $\ldots $?", and the statement withou... | Wikipedia |
Fisheries and Aquatic Sciences
Preparing your manuscript
Effect of water temperature on protein requirement of Heteropneustes fossilis (Bloch) fry as determined by nutrient deposition, hemato-biochemical parameters and stress resistance response
Shabihul Fatma ORCID: orcid.org/0000-0003-0115-94461 &
Imtiaz Ahmed2
Fishe... | CommonCrawl |
Pages.6401-6406
Asian Pacific Organization for Cancer Prevention (아시아태평양암예방학회)
Diagnostic Performance of Diffusion - Weighted Imaging for Multiple Hilar and Mediastinal Lymph Nodes with FDG Accumulation
Usuda, Katsuo (Department of Thoracic Surgery, Kanazawa Medical University) ;
Maeda, Sumiko (Department of Thoracic S... | CommonCrawl |
\begin{document}
\title{Cones of traces arising from AF C*-algebras}
\author{Mark Moodie} \author{Leonel Robert}
\begin{abstract} We characterize the topological non-cancellative cones that are expressible as projective limits of finite powers of $[0,\infty]$. These are also the cones of lower semicontinuous extende... | arXiv |
\begin{document}
\begin{frontmatter}
\title{A super Ornstein--Uhlenbeck process interacting with its center of mass} \runtitle{SOU interacting with its COM}
\begin{aug} \author[A]{\fnms{Hardeep} \snm{Gill}\corref{}\ead[label=e1]{gillhs@interchange.ubc.ca}} \runauthor{H. Gill} \affiliation{University of British Colum... | arXiv |
L'Intermédiaire des mathématiciens
L'Intermédiaire des mathématiciens was a peer-reviewed scientific journal covering mathematics published by Gauthier-Villars et fils. It was established in 1894 by Émile Lemoine and Charles-Ange Laisant and was published until 1920. A second series started in 1922 and was published u... | Wikipedia |
Why do single particle states furnish a rep. of the inhomogeneous Lorentz group?
Following up on this question: Weinberg says
In general, it may be possible by using suitable linear combinations of the $\psi_{p,\sigma}$ to choose the $\sigma$ labels in such a way that $C_{\sigma'\sigma}(\Lambda, p)$ is block-diagonal; ... | CommonCrawl |
Small-scale topographic irregularities on Phobos: image and numerical analyses for MMX mission
Tomohiro Takemura1,
Hideaki Miyamoto ORCID: orcid.org/0000-0001-8013-61241,
Ryodo Hemmi2,
Takafumi Niihara1 &
Patrick Michel3
The mothership of the Martian Moons eXploration (MMX) will perform the first landing and sampling o... | CommonCrawl |
Global solutions to the incompressible magnetohydrodynamic equations
CPAA Home
The moving boundary problem in a chemotaxis model
March 2012, 11(2): 747-761. doi: 10.3934/cpaa.2012.11.747
On the regularity of solutions to the Navier-Stokes equations
Vittorino Pata 1,
Politecnico di Milano - Dipartimento di Matematica "F... | CommonCrawl |
\begin{document}
\title{Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature}
\author{Haiping Fu}
\address{Department of Mathematics, Nanchang University, Nanchang 330047, P. R. China }
\email{mathfu@126.com(H. P. Fu)}
\thanks{Supported by the National Natural Science Foundati... | arXiv |
\begin{document}
\title{\sc\bf\large\MakeUppercase{
Normal approximation in total variation for statistics in geometric probability }}
\author[1]{Tianshu Cong\thanks{{\sf{email: tcong1@student.unimelb.edu.au.}} Work supported by a Research Training Program Scholarship and a Xing Lei Cross-Disciplinary PhD Scho... | arXiv |
On the Cîrtoaje's conjecture
Ladislav Matejíčka1
In this paper, we prove the Cîrtoaje conjecture under other conditions.
Introduction and preliminaries
Within the past years, the power exponential functions have been the subject of very intensive research. Many problems concerning inequalities for the power exponential... | CommonCrawl |
\begin{document}
\title{f Network Dependence Testing via Diffusion Maps and Distance-Based Correlations}
\begin{abstract} Deciphering the associations between network connectivity and nodal attributes is one of the core problems in network science. The dependency structure and high-dimensionality of networks pose un... | arXiv |
Skip to main content Skip to sections
February 2020 , Volume 49, Issue 2, pp 391–406 | Cite as
Linking consumer physiological status to food-web structure and prey food value in the Baltic Sea
Agnes M. L. Karlson
Elena Gorokhova
Anna Gårdmark
Zeynep Pekcan-Hekim
Michele Casini
Jan Albertsson
Brita Sundelin
Olle Karlsso... | CommonCrawl |
Spread-F occurrences and relationships with foF2 and h′F at low- and mid-latitudes in China
Ning Wang ORCID: orcid.org/0000-0001-9512-50141,2,
Lixin Guo1,
Zhenwei Zhao2,
Zonghua Ding2 &
Leke Lin2
Ionospheric irregularities are an important phenomenon in scientific studies and applications of radio-wave propagation. Spr... | CommonCrawl |
Kurtosis/4th central moment in terms of mean and variance
Is it possible to express the kurtosis $\kappa$, or the 4th central moment $\mu_4$, of a random variable $X$ in terms of its mean $\mu = E(X)$ and variance $\sigma^2 = Var(X)$ only, without having to particularize to any distribution?
I mean, an expression like ... | CommonCrawl |
EECT Home
Continuous maximal regularity on singular manifolds and its applications
June 2016, 5(2): 337-348. doi: 10.3934/eect.2016007
A remark on blow up criterion of three-dimensional nematic liquid crystal flows
Yinxia Wang 1,
School of Mathematics and Information Sciences, North China University of Water Resources ... | CommonCrawl |
# Real numbers and their properties
- Integers: whole numbers, positive and negative, including zero.
- Rational numbers: numbers that can be expressed as a fraction, with a numerator and a denominator.
- Irrational numbers: numbers that cannot be expressed as a fraction, such as the square root of 2.
We will als... | Textbooks |
Welcome to ShortScience.org!
ShortScience.org is a platform for post-publication discussion aiming to improve accessibility and reproducibility of research ideas.
The website has 1376 public summaries, mostly in machine learning, written by the community and organized by paper, conference, and year.
Reading summaries o... | CommonCrawl |
Frequency magnitude distribution of noise
By the Wiener-Khinchin theorem, we have a straightforward way to calculate the power spectral density for stationary noise. If we know the bandwidth of a system, we can further calculate the variance of the noise since it turns out that $v_{noise,\ RMS} = \sigma$ (standard devi... | CommonCrawl |
I'm developing a face recognizing application using the face_recognition Python library.
The faces are encoded as 128-dimension floating-point vectors. In addition to this, each named known person has a variance value, which is refined iteratively for each new shot of the face along with the mean vector. I took the ref... | CommonCrawl |
On the lowest two-sided cell in affine Weyl groups
Author: Jérémie Guilhot
Journal: Represent. Theory 12 (2008), 327-345
MSC (2000): Primary 20C08
Published electronically: October 9, 2008
Abstract: Bremke and Xi determined the lowest two-sided cell for affine Weyl groups with unequal parameters and showed that it cons... | CommonCrawl |
Viktor Glombik
1,283 helpful flags
Summary Answers Questions Tags Badges Favorites 1 Bounties Reputation All actions
Show $\sum_{k = 0}^{\infty} \frac{z^{4k}}{(4k)!} - \frac{z^{4k + 2}}{(4k + 2)!} = \sum_{k = 0}^{\infty} (-1)^k \frac{z^{2k}}{(2k)!}$
Jul 14 at 11:32
Prove $\sum_{i=n}^{2n}i=\frac{3}{2}n(n+1)$ using induc... | CommonCrawl |
Multi-armed bandit
In probability theory and machine learning, the multi-armed bandit problem (sometimes called the K-[1] or N-armed bandit problem[2]) is a problem in which a fixed limited set of resources must be allocated between competing (alternative) choices in a way that maximizes their expected gain, when each... | Wikipedia |
Stellated octahedron
The stellated octahedron is the only stellation of the octahedron. It is also called the stella octangula (Latin for "eight-pointed star"), a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers. It was depicted in Pacioli's De Divina Proportione, 1509.[2]
Stellat... | Wikipedia |
\begin{definition}[Definition:Square Root/Negative]
Let $x \in \R_{> 0}$ be a (strictly) positive real number.
The '''negative square root of $x$''' is the number defined as:
:$- \sqrt x := y \in \R_{<0}: y^2 = x$
\end{definition} | ProofWiki |
distance from point to plane calculator
Another way to find the distance is by finding the plane and the line intersection point and then calculate distance between this point and the given point. Finding the distance from a point to a plane by considering a vector projection. D = √[ ( X2-X1)^2 + (Y2-Y1)^2) Where D is ... | CommonCrawl |
Maria Silvia Lucido
Maria Silvia Lucido (22 April 1963 – 4 March 2008) was an Italian mathematician specializing in group theory, and a researcher in mathematics at the University of Udine.[1]
Life, education and career
Lucido was originally from Vicenza, where she was born on 22 April 1963. After working for a bank... | Wikipedia |
Movie Recommendation Algorithm Using Social Network Analysis to Alleviate Cold-Start Problem
Khamphaphone Xinchang* , Phonexay Vilakone* and Doo-Soon Park**
Corresponding Author: Doo-Soon Park** (parkds@sch.ac.kr)
Khamphaphone Xinchang*, Dept. of Computer Science and Engineering, Soonchunhyang University, Asan, Korea, ... | CommonCrawl |
Epidemiology and clinico-pathological characteristics of current goat pox outbreak in North Vietnam
Trang Hong Pham1,2,
Mohd Azmi Mohd Lila1,
Nor Yasmin Abd. Rahaman1,
Huong Lan Thi Lai2,
Lan Thi Nguyen2,
Khien Van Do3 &
Mustapha M. Noordin ORCID: orcid.org/0000-0001-9288-797X1
In view of the current swine fever outbre... | CommonCrawl |
What is the least positive integer with exactly $10$ positive factors?
We need to find the smallest integer, $k,$ that has exactly $10$ factors. $10=5\cdot2=10\cdot1,$ so $k$ must be in one of two forms:
$\bullet$ (1) $k=p_1^4\cdot p_2^1$ for distinct primes $p_1$ and $p_2.$ The smallest such $k$ is attained when $p_... | Math Dataset |
Red and fallow deer determine the density of Ixodes ricinus nymphs containing Anaplasma phagocytophilum
Katsuhisa Takumi1,
Tim R. Hofmeester2 &
Hein Sprong1
Parasites & Vectors volume 14, Article number: 59 (2021) Cite this article
The density of Ixodes ricinus nymphs infected with Anaplasma phagocytophilum is one of t... | CommonCrawl |
\begin{document}
\title{Self-similarity of Jankins-Neumann ziggurat}
\section{Introduction}
In the theory of dynamical systems on the circle, there is the following very natural question: let $a,b\in \widetilde{\mathrm{Homeo}}_+(S^1)$ be lifts on the real line of two orientation-preserving circle homeomorphisms, and... | arXiv |
\begin{document}
\begin{frontmatter}
\title{Maxima of long memory stationary symmetric $\alpha$-stable processes, and self-similar processes with stationary max-increments} \runtitle{Limit theory for partial maxima}
\begin{aug}
\author[1]{\inits{T.}\fnms{Takashi}~\snm{Owada}\thanksref{1}\ead[label=e1]{takashiowada@... | arXiv |
UrQt: an efficient software for the Unsupervised Quality trimming of NGS data
Laurent Modolo1 &
Emmanuelle Lerat1
10 Altmetric
Quality control is a necessary step of any Next Generation Sequencing analysis. Although customary, this step still requires manual interventions to empirically choose tuning parameters accordi... | CommonCrawl |
Correlation function
A correlation function is a function that gives the statistical correlation between random variables, contingent on the spatial or temporal distance between those variables. If one considers the correlation function between random variables representing the same quantity measured at two different ... | Wikipedia |
\begin{document}
\parindent 9mm \title{Output Feedback Exponential Stabilization for {\color{blue} a 1-d Wave PDE with Dynamic Boundary} \thanks{This work was supported by the Natural Science Foundation of Shaanxi Province 2018JM1051, 2014JQ1017. } \thanks{2020 Mathematics Subject Classification. 37L15; 93D15; 93B51; ... | arXiv |
\begin{document}
\title{Generalized Jacquet modules of parabolic induction} \begin{abstract} In this paper we study a generalization of the Jacquet module of a parabolic induction and construct a filtration on it. The successive quotient of the filtration is written by using the twisting functor. \end{abstract}
\sect... | arXiv |
Chemical reactions in white dwarf and carbon allotropes
White dwarfs consists mostly of carbon and oxygen. In my opinion, they are too hot to contain these elements in molecular form and hence chemical reactions does not happen (I think resulting CO2 will also decompose under such high temperature and pressure). I have... | CommonCrawl |
\begin{document}
\title{The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem} \begin{abstract}
We generalize in Lorentz-Minkowski space $\mathbb L^3$ the two-dimensional analogue of the catenary of Euclidean space. We solve the Dirichlet problem when the bounded domain is mean convex ... | arXiv |
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