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Trace identity
In mathematics, a trace identity is any equation involving the trace of a matrix.
Properties
Trace identities are invariant under simultaneous conjugation.
Uses
They are frequently used in the invariant theory of $n\times n$ matrices to find the generators and relations of the ring of invariants, an... | Wikipedia |
Ramsey theorem with forbidden induced subgraph
Given $n \in \mathbb{N}$, I want to prove that there exist $f(n) \in \mathbb{N}, 0<\alpha(n) \leq 1$ such that for every graph $G=(V,E)$ with $|V| > f(n)$ vertices, and a set $R \subseteq V \times V$ where $|R| \leq \alpha(n) {|V| \choose 2}$, there is a clique or anti cli... | CommonCrawl |
Analysis of Markov-modulated fluid polling systems with gated discipline
JIMO Home
Hybrid social spider optimization algorithm with differential mutation operator for the job-shop scheduling problem
March 2021, 17(2): 549-573. doi: 10.3934/jimo.2019123
Analysis of $GI^{[X]}/D$-$MSP/1/\infty$ queue using $RG$-factorizat... | CommonCrawl |
\begin{document}
\title{Stable laws and Beurling kernels}
\author[London School of Economics]{Adam J. Ostaszewski} \address{Mathematics Department, London School of Economics,
Houghton Street, London WC2A 2AE, UK} \email{A.J.Ostaszewski@lse.ac.uk}
\begin{abstract}We identify a close relation between stable distribu... | arXiv |
Methodology | Open | Published: 14 December 2015
The ubiquitous self-organizing map for non-stationary data streams
Bruno Silva1 &
Nuno Cavalheiro Marques2
The Internet of things promises a continuous flow of data where traditional database and data-mining methods cannot be applied. This paper presents improvements on ... | CommonCrawl |
\begin{document}
\title{Optimizing microwave photodetection: Input-Output theory}
\author{M. Sch\"ondorf} \author{L. C. G. Govia} \altaffiliation[Current Address: ]{Institute for Molecular Engineering, University of Chicago, Chicago, Illinois, USA} \affiliation{Theoretical Physics, Saarland University, 66123 Saarbr{\... | arXiv |
\begin{document}
\vspace*{-.8in} \begin{center} {\LARGE\em On the Continuity of Bounded Weak Solutions to Parabolic Equations and Systems with Quadratic Growth in Gradients.}
\end{center}
\begin{center}
{\sc Dung Le}{\footnote {Department of Mathematics, University of Texas at San Antonio, One UTSA Circle, San An... | arXiv |
Semilinear elliptic system with boundary singularity
DCDS Home
Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization
April 2020, 40(4): 2165-2187. doi: 10.3934/dcds.2020110
Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions
T... | CommonCrawl |
\begin{definition}[Definition:Imperial/Volume/Gill]
The '''gill''' is an imperial unit of volume.
{{begin-eqn}}
{{eqn | o =
| r = 1
| c = '''gill'''
}}
{{eqn | r = 5
| c = fluid ounces
}}
{{eqn | r = 0 \cdotp 14206 \, 53125
| c = litres
}}
{{eqn | r = 142 \cdotp 06531 \, 25
| c = millilit... | ProofWiki |
Twistor space
In mathematics and theoretical physics (especially twistor theory), twistor space is the complex vector space of solutions of the twistor equation $\nabla _{A'}^{(A}\Omega _{^{}}^{B)}=0$. It was described in the 1960s by Roger Penrose and Malcolm MacCallum.[1] According to Andrew Hodges, twistor space is... | Wikipedia |
Bilevel optimization
Bilevel optimization is a special kind of optimization where one problem is embedded (nested) within another. The outer optimization task is commonly referred to as the upper-level optimization task, and the inner optimization task is commonly referred to as the lower-level optimization task. Thes... | Wikipedia |
\begin{document}
\title{Emerging quantum computing algorithms for quantum chemistry}
\author{Mario Motta} \thanks{corresponding author, e-mail: mario.motta@ibm.com} \affiliation{IBM Quantum, IBM Research-Almaden, San Jose, CA 95120, USA}
\author{Julia E. Rice} \thanks{corresponding author, e-mail: jrice@us.ibm.com} ... | arXiv |
\begin{definition}[Definition:Linear Equation]
A '''linear equation''' is an equation in the form:
:$b = a_1 x_1 + a_2 x_2 + \cdots + a_n x_n$
where all of $a_1, \ldots, a_n, x_1, \ldots x_n, b$ are elements of a given field.
The point is that all the indices of the $x$ and $y$ terms in such an equation are $1$.
\end{d... | ProofWiki |
LtrDetector: A tool-suite for detecting long terminal repeat retrotransposons de-novo
Joseph D. Valencia1 &
Hani Z. Girgis ORCID: orcid.org/0000-0002-6080-03201
Long terminal repeat retrotransposons are the most abundant transposons in plants. They play important roles in alternative splicing, recombination, gene regul... | CommonCrawl |
Find the least common multiple of 8 and 15.
$8 = 2^3$, $15 = 3^1 \cdot 5^1$, so lcm$[8, 15] = 2^3 \cdot 3^1 \cdot 5^1 = \boxed{120}$.
Notice that, since 8 and 15 have no common factors (greater than 1), their least common multiple is equal to their product. | Math Dataset |
Fractional model
In applied statistics, fractional models are, to some extent, related to binary response models. However, instead of estimating the probability of being in one bin of a dichotomous variable, the fractional model typically deals with variables that take on all possible values in the unit interval. One ... | Wikipedia |
\begin{document}
\title[Spatio-temporal Poisson processes]{Spatio-temporal Poisson processes for visits to small sets} \author{Fran\c{c}oise P\`ene \and Beno\^\i t Saussol} \address{1)Universit\'e de Brest, Laboratoire de Math\'ematiques de Bretagne Atlantique, CNRS UMR 6205, Brest, France\\ 2)Fran\c{c}oise P\`ene is ... | arXiv |
7: Exponential and Logarithmic Functions
Mat C Intermediate Algebra (Carr)
{ "7.01:_Finding_Composite_and_Inverse_Functions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.<PageSubPageProperty>b__1]()", "7.02:_Evaluate_and_Graph_Exponential_Functions" : "property get [M... | CommonCrawl |
Spheroidal Models of Atoms
René Descartes certainly thought that atoms were like little balls spinning around and bumping into each other.1 So consider an atom $\mathbf{A}$ described by a repetitive chain of events $\Psi = \left( \sf{\Omega}_{1} , \sf{\Omega}_{2}, \sf{\Omega}_{3} \ldots \right)$ where each repeated cyc... | CommonCrawl |
Influence of occupational exposure on hyperuricemia in steelworkers: a nested case–control study
Yuanyu Chen1,
Yongzhong Yang1,
Ziwei Zheng1,
Hui Wang1,
Xuelin Wang1,
Zhikang Si1,
Rui Meng1,
Guoli Wang1,2 &
Jianhui Wu1,2
Occupational exposure may be associated with an increased risk of developing hyperuricemia. This st... | CommonCrawl |
\begin{definition}[Definition:Algebraic Number Field]
An '''algebraic number field''' is a finite extension of the field of rational numbers $\Q$.
\end{definition} | ProofWiki |
\begin{document}
\title{Variants of the A-HPE and large-step A-HPE algorithms for strongly convex problems with applications to accelerated high-order tensor methods} \author{ M. Marques Alves \thanks{ Departamento de Matem\'atica, Universidade Federal de Santa Catarina, Florian\'opolis, Brazil, 88040-900 ({\tt maic... | arXiv |
Calderón–Zygmund lemma
In mathematics, the Calderón–Zygmund lemma is a fundamental result in Fourier analysis, harmonic analysis, and singular integrals. It is named for the mathematicians Alberto Calderón and Antoni Zygmund.
Given an integrable function f : Rd → C, where Rd denotes Euclidean space and C denotes th... | Wikipedia |
Simple magic cube
A simple magic cube is the lowest of six basic classes of magic cubes. These classes are based on extra features required.
The simple magic cube requires only the basic features a cube requires to be magic. Namely, all lines parallel to the faces, and all 4 space diagonals sum correctly.[1] i.e. all... | Wikipedia |
Find the value of $x$ such that $\sqrt{x+ 7} = 9$.
Since $\sqrt{x+7} = 9$, we know that 9 is the number whose square is $x+7$. Therefore, we have \[x+7 = 9^2.\] This gives us $x + 7= 81$, so $x= \boxed{74}$. | Math Dataset |
Measurements of $\pi^\pm$, K$^\pm$, p and $\bar{\textrm{p}}$ spectra in proton-proton interactions at 20, 31, 40, 80 and 158 GeV/c with the NA61/SHINE spectrometer at the CERN SPS (1705.02467)
NA61/SHINE Collaboration: A. Aduszkiewicz, Y. Ali, E. Andronov, T. Antićić, B. Baatar, M. Baszczyk, S. Bhosale, A. Blondel, M. ... | CommonCrawl |
\begin{definition}[Definition:Supremum Metric/Bounded Continuous Mappings]
Let $M_1 = \struct {A_1, d_1}$ and $M_2 = \struct {A_2, d_2}$ be metric spaces.
Let $A$ be the set of all continuous mappings $f: M_1 \to M_2$ which are also bounded.
Let $d: A \times A \to \R$ be the function defined as:
:$\ds \forall f, g \in ... | ProofWiki |
Bertha has 6 daughters and no sons. Some of her daughters have 6 daughters, and the rest have none. Bertha has a total of 30 daughters and granddaughters, and no great-granddaughters. How many of Bertha's daughters and granddaughters have no daughters?
Bertha has $30 - 6 = 24$ granddaughters, none of whom have any dau... | Math Dataset |
\begin{document}
\title[Cohomologically complete intersections]{Cohomologically complete intersections with vanishing of Betti numbers} \author[W. Mahmood]{Waqas Mahmood } \address{Quaid-I-Azam University Islamabad,Pakistan} \email{ waqassms$@$gmail.com}
\thanks{This research was partially supported by Higher Educati... | arXiv |
Skewness – Quick Introduction, Examples & Formulas
By Ruben Geert van den Berg under Statistics A-Z
Skewness is a number that indicates to what extent
a variable is asymmetrically distributed.
Positive (Right) Skewness Example
Negative (Left) Skewness Example
Population Skewness - Formula and Calculation
Sample Skewnes... | CommonCrawl |
Business Economics Production function
For a firm, the production function represents the relationship between: a. Implicit costs and...
For a firm, the production function represents the relationship between:
a. Implicit costs and explicit costs,
b. Quantity of inputs and total cost,
c. Quantity of inputs and quantity... | CommonCrawl |
\begin{document}
\title{\bf Indirect Cross-validation for Density Estimation} \author{Olga Y. Savchuk, Jeffrey D. Hart, Simon J. Sheather}
\date{} \maketitle
\begin{abstract} A new method of bandwidth selection for kernel density estimators is proposed. The method, termed {\it indirect cross-validation}, or ICV, mak... | arXiv |
Extending digital PCR analysis by modelling quantification cycle data
Methodology article
Philip J. Wilson1 &
Stephen L. R. Ellison1
Digital PCR (dPCR) is a technique for estimating the concentration of a target nucleic acid by loading a sample into a large number of partitions, amplifying the target and using a fluore... | CommonCrawl |
\begin{document}
\title{Arnold diffusion for cusp-generic\\ nearly integrable convex systems on ${\mathbb A}^3$}
\author{Jean-Pierre Marco \thanks{Universit\'e Paris 6, 4 Place Jussieu, 75005 Paris cedex 05. E-mail: jean-pierre.marco@imj-prg.fr }} \date{}
\maketitle
\begin{abstract} Using the results of \cite{Ma... | arXiv |
Existence and multiplicity of positive solutions for a class of quasilinear Schrödinger equations in $ \mathbb R^N $$ ^\diamondsuit $
DCDS-S Home
Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term
September 2021, 14(9): 3267-3284. doi: 10.3934/dcdss.2020335
Chaotic os... | CommonCrawl |
Quantum correlations in electron microscopy
Chen Mechel, Yaniv Kurman, Aviv Karnieli, Nicholas Rivera, Ady Arie, and Ido Kaminer
Chen Mechel,1 Yaniv Kurman,1 Aviv Karnieli,2 Nicholas Rivera,3 Ady Arie,2 and Ido Kaminer1,*
1Solid State Institute, Technion, Israel Institute of Technology, 32000 Haifa, Israel
2School of E... | CommonCrawl |
Extremal graph theory
Extremal graph theory is a branch of combinatorics, itself an area of mathematics, that lies at the intersection of extremal combinatorics and graph theory. In essence, extremal graph theory studies how global properties of a graph influence local substructure. [1] Results in extremal graph theor... | Wikipedia |
Abstract: The Lieb-Liniger model describes one-dimensional bosons interacting through a repulsive contact potential. In this work, we introduce an extended version of this model by replacing the contact potential with a decaying exponential. Using the recently developed continuous matrix product states techniques, we e... | CommonCrawl |
\begin{document}
\title{Task-dependent control of open quantum systems} \date{\today} \author{Jens Clausen} \affiliation{Institute for Quantum Optics and Quantum Information,
Austrian Academy of Sciences, Technikerstr. 21a, A-6020 Innsbruck} \affiliation{Institute for Theoretical Physics, University of
Innsbruck, ... | arXiv |
Minimize this real function on $\mathbb{R}^{2}$ without calculus?
When it comes to minimizing a differentiable real function, calculus comes into play immediately. If $f: (x,y) \mapsto (x+y-1)^{2} + (x+2y-3)^{2} + (x+3y-6)^{2}$ on $\mathbb{R}^{2}$, and if one is asked to find the minimum of $f$ along with the minimizer... | CommonCrawl |
Making sense of the canonical anti-commutation relations for Dirac spinors
Dirac spinors under Parity transformation or what do the Weyl spinors in a Dirac spinor really stand for?
Dirac Spinors, Grassmann Numbers and $SL(2,\mathbb{C})$ actions
Spinors on orbifolds
Dirac spectrum on unorientable manifold ($RP^n$)
Spino... | CommonCrawl |
\begin{document}
\title{Generalized eigenvalues for fully tnonlinear singular or degenerate operators in the radial case.}
\footnote{AMS Subject classification: 35 J 25, 35 J 60, 35 P 15, 35 P 30} \begin{abstract} In this paper we extend some existence's results concerning the generalized eigenvalues for fully n... | arXiv |
\begin{document}
\author[labri]{Valentin F\'eray}\ead{feray@labri.fr}
\author[lix]{Ekaterina A. Vassilieva}\ead{ekaterina.vassilieva@lix.polytechnique.fr}
\address[labri]{LaBRI, Universit\'e Bordeaux 1, 351 cours de la lib\'eration, 33 400 Talence, France} \address[lix]{LIX, Ecole Polytechnique, 91128, Palaiseau, Fr... | arXiv |
Ulrica Wilson
Ulrica Wilson is a mathematician specializing in the theory of noncommutative rings and in the combinatorics of matrices.[1] She is an associate professor at Morehouse College, associate director of diversity and outreach at the Institute for Computational and Experimental Research in Mathematics (ICERM)... | Wikipedia |
\begin{document}
\title{Being Friends Instead of Adversaries: \ Deep Networks Learn from Data Simplified by Other Networks
}
\begin{abstract} Amongst a variety of approaches aimed at making the learning procedure of neural networks more effective, the scientific community developed strategies to order the examples a... | arXiv |
Journal of Computational Surgery
Computing, Robotics, and Imaging for the Surgical Platform
Vertebra segmentation based on two-step refinement
Jean-Baptiste Courbot1,
Edmond Rust1,
Emmanuel Monfrini2 &
Christophe Collet1
Journal of Computational Surgery volume 4, Article number: 1 (2016) Cite this article
Knowledge of ... | CommonCrawl |
\begin{document}
\title{ exorpdfstring{Approximation of \ Weighted Automata with Storage}
\begin{abstract}
We use a non-deterministic variant of storage types to develop a framework for the approximation of automata with storage.
This framework is used to provide automata-theoretic views on the approximation of m... | arXiv |
Computer Graphics Stack Exchange is a question and answer site for computer graphics researchers and programmers. It only takes a minute to sign up.
How to create 2D (directional) noise?
I'm just getting started trying to understand noise generation algorithms. What I'm trying to achieve is to get a 2D (or 3D) grid of ... | CommonCrawl |
Study of charmonium production in b-hadron decays and first evidence for the decay $B^0_s \to \phi\phi\phi$
LHCb Collaboration; Bernet, R; Müller, K; Serra, N; Steinkamp, O; Straumann, U; Vollhardt, A; et al (2017). Study of charmonium production in b-hadron decays and first evidence for the decay $B^0_s \to \phi\phi\p... | CommonCrawl |
Two consecutive positive even numbers are each squared. The difference of the squares is 60. What is the sum of the original two numbers?
Let the two numbers be $x$ and $x + 2$, where $x$ is even. We want to find $x + (x + 2) = 2x + 2$, and we are told that $(x + 2)^2 - x^2 = 60$. This last equation can be factore... | Math Dataset |
Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes
June 2012, 32(6): 1915-1938. doi: 10.3934/dcds.2012.32.1915
The Cauchy problem at a node with buffer
Mauro Garavello 1, and Paola Goatin 2,
Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Or... | CommonCrawl |
\begin{document}
\title[Pathwise stability and positivity of nonlinear SDEs]{A note on Pathwise stability and positivity of nonlinear stochastic differential equations}
\author[I. S. Stamatiou]{I. S. Stamatiou} \email{joniou@gmail.com}
\begin{abstract} We use the semi-discrete method, originally proposed in \emph{Ha... | arXiv |
Hiroyuki Yamanishi ORCID: orcid.org/0000-0001-9331-28361,
Masumi Ono2 &
Yuko Hijikata3
In our research project, we have developed a scoring rubric for a second language (L2) summary writing for English as a foreign language (EFL) students in Japanese universities. This study aimed to examine the applicability of our fi... | CommonCrawl |
\begin{document}
\title[Lifts of simple curves]{Lifts of simple curves in finite regular coverings of closed surfaces} \author{Ingrid Irmer} \address{Mathematics Department\\ Technion, Israel Institute of Technology\\ Haifa, 32000\\ Israel } \email{ingridi@technion.ac.il} \date{21 November, 2017}
\begin{abstract} S... | arXiv |
Nonlocal operator
In mathematics, a nonlocal operator is a mapping which maps functions on a topological space to functions, in such a way that the value of the output function at a given point cannot be determined solely from the values of the input function in any neighbourhood of any point. An example of a nonlocal... | Wikipedia |
Whitehead's lemma
Whitehead's lemma is a technical result in abstract algebra used in algebraic K-theory. It states that a matrix of the form
${\begin{bmatrix}u&0\\0&u^{-1}\end{bmatrix}}$
For a lemma on Lie algebras, see Whitehead's lemma (Lie algebras).
is equivalent to the identity matrix by elementary transformat... | Wikipedia |
Von Neumann–Bernays–Gödel set theory
In the foundations of mathematics, von Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of Zermelo–Fraenkel–choice set theory (ZFC). NBG introduces the notion of class, which is a collection of sets defined by a formula whose quanti... | Wikipedia |
Global dynamics in a two-species chemotaxis-competition system with two signals
On critical Choquard equation with potential well
July 2018, 38(7): 3595-3616. doi: 10.3934/dcds.2018155
Boundedness and large time behavior in a two-dimensional Keller-Segel-Navier-Stokes system with signal-dependent diffusion and sensitiv... | CommonCrawl |
\begin{document}
\title[Second order vectorial $\infty$-eigenvalue problems]{Generalised second order vectorial $\infty$-eigenvalue problems}
\author{Ed Clark}
\address{E. C., Department of Mathematics and Statistics, University of Reading, Whiteknights Campus, Pepper Lane, Reading RG6 6AX, United Kingdom}
\email{e... | arXiv |
\begin{document}
\title{Coherent dynamical control of quantum processes}
\author{V. Rezvani} \email{vahid_rezvani@physics.sharif.edu} \affiliation{Department of Physics, Sharif University of Technology, Tehran 14588, Iran}
\author{A. T. Rezakhani} \email{rezakhani@sharif.edu} \affiliation{Department of Physics, Shar... | arXiv |
Nice name
In set theory, a nice name is used in forcing to impose an upper bound on the number of subsets in the generic model. It is used in the context of forcing to prove independence results in set theory such as Easton's theorem.
Formal definition
Let $M\models $ ZFC be transitive, $(\mathbb {P} ,<)$ a forcing ... | Wikipedia |
Proportional division
A proportional division is a kind of fair division in which a resource is divided among n partners with subjective valuations, giving each partner at least 1/n of the resource by his/her own subjective valuation.
For the social choice rule, see proportional-fair rule.
Proportionality was the fi... | Wikipedia |
Journal of Ethnobiology and Ethnomedicine
Traditional use and perception of snakes by the Nahuas from Cuetzalan del Progreso, Puebla, Mexico
Romina García-López1,
Alejandro Villegas1,2,
Noé Pacheco-Coronel1 &
Graciela Gómez-Álvarez ORCID: orcid.org/0000-0001-9335-36971
Journal of Ethnobiology and Ethnomedicine volume 1... | CommonCrawl |
\begin{document}
\title{{On Robust Tie-line Scheduling \\ in Multi-Area Power Systems} \\ {\small Working paper}} \author{{Ye Guo \qquad Subhonmesh Bose \qquad Lang Tong}
\thanks{\scriptsize Y. Guo and L. Tong are with the School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA. (Emails: {\... | arXiv |
\begin{document}
\title[Realizations of AF-algebras] {Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras}
\author{Takeshi Katsura} \address{Takeshi Katsura, Department of Mathematics\\ Keio University\\ Yokohama, 223-8522\\ JAPAN} \email{katsura@math.keio.ac.jp}
\author{Aidan ... | arXiv |
\begin{document}
\pagestyle{fancy} \fancyhead{}
\maketitle
\section{Introduction} \label{intro}
Core concepts from game theory underpin many advances in multi-agent systems research. Among these, Nash equilibrium is particularly prevalent. Despite the difficulty of computing a Nash equilibrium~\citep{daskalakis200... | arXiv |
\begin{document}
\date{\today} \author[J. Huizenga]{Jack Huizenga} \address{Department of Mathematics, The Pennsylvania State University, University Park, PA 16802} \email{huizenga@psu.edu} \subjclass[2010]{Primary: 14J60. Secondary: 14E30, 14J29, 14C05} \keywords{Moduli spaces of sheaves, Hilbert schemes of points, a... | arXiv |
Norm group
In number theory, a norm group is a group of the form $N_{L/K}(L^{\times })$ where $L/K$ is a finite abelian extension of nonarchimedean local fields. One of the main theorems in local class field theory states that the norm groups in $K^{\times }$ are precisely the open subgroups of $K^{\times }$ of finite... | Wikipedia |
\begin{document}
\centerline{\bf LORENTZ GROUPS OF CYCLOTOMIC EXTENSIONS}
\centerline{\it Relativity and Reciprocity}
\
\centerline{Vadim Schechtman}
\
\centerline{March 16, 2021}
\centerline{\bf Abstract}
\
In this (mostly historical) note we show how a unified Kummer-Artin-Schreier sequence from [W], [SOS... | arXiv |
The Coronavirus Pandemic the biggest crisis to hit the world in 100 years
Covid-19 has transformed nearly every aspect of our world.
We have all experienced the benefits of waking up 10 minutes for online school, being able to wear PJ pants in a zoom, and spending more time with your family. However, our friends, famil... | CommonCrawl |
Causes of the N–S compressional aftershocks of the E–W compressional 2008 Iwate–Miyagi Nairiku earthquake (M7.2) in the northeastern Japan arc
Sumire Maeda ORCID: orcid.org/0000-0002-7783-72421,
Toru Matsuzawa2,
Keisuke Yoshida2,
Tomomi Okada2 &
Takeyoshi Yoshida2
In this study, we investigated the influence of local s... | CommonCrawl |
\begin{definition}[Definition:Cycle (Graph Theory)]
A '''cycle''' is a circuit in which no vertex except the first (which is also the last) appears more than once.
An '''$n$-cycle''' is a cycle with $n$ vertices.
The set of vertices and edges which go to make up a cycle form a subgraph.
This subgraph itself is also ref... | ProofWiki |
The TORCH concept is based on the detection of Cherenkov light produced in a quartz radiator plate. It is an evolution of the DIRC technique, extending the performance by the use of precise measurements of the emission angles and arrival times of detected photons. This allows dispersion in the quartz to be corrected fo... | CommonCrawl |
\begin{document}
\title{Integration of A* Search and Classic Optimal Control for Safe Planning of Continuum Deformation of a Multi-Quadcopter System }
\author{Hossein Rastgoftar \thanks{{\color{black}H. Rastgoftar is with the Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, 48109 USA e-mail... | arXiv |
Factorial experiment
In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or "levels", and whose experimental units take on all possible combinations of these levels across all such factors. A full factorial design may also be call... | Wikipedia |
Search Results: 1 - 10 of 4421 matches for " Boris Hanin "
Page 1 /4421
Correlations and Pairing Between Zeros and Critical Points of Gaussian Random Polynomials
Boris Hanin
Abstract: We study the asymptotics of correlations and nearest neighbor spacings between zeros and holomorphic critical points of $p_N$, a degree ... | CommonCrawl |
\begin{document}
\title{A note on the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs
} \author{C. Dalf\'o\footnote{Departament de Matem\`atica, Universitat de Lleida, Igualada (Barcelona), Catalonia, {\tt{cristina.dalfo@matematica.udl.cat}}},
M. A. Fiol\footnote{Departament... | arXiv |
Volume 21 Supplement 8
Selected articles from the 5th International Scientific Conference "Plant genetics, genomics, bioinformatics, and biotechnology" (PlantGen2019): genomics
Multi-trait multi-locus SEM model discriminates SNPs of different effects
Anna A. Igolkina ORCID: orcid.org/0000-0001-8851-96211,
Georgy Meshch... | CommonCrawl |
Exam-Style Questions on Graphs
Problems on Graphs adapted from questions set in previous Mathematics exams.
GCSE Higher
The equation of the line L1 is \(y = 2 - 5x\).
The equation of the line L2 is \(3y + 15x + 17 = 0\).
Show that these two lines are parallel.
Worked Solution
Which of the following lines is parallel to... | CommonCrawl |
\begin{document}
\baselineskip .3in
\newcommand{\mbox{pr}}{\mbox{pr}} \newfont{\sss}{cmsy10 at 12pt} \newcommand{Section }{Section }
\title{\textbf{\large Statistical Matching using Fractional Imputation }}
\author{Jae-kwang Kim \and Emily Berg \and Taesung Park} \maketitle \begin{abstract} Statistical matching i... | arXiv |
How I Acted Like A Pundit And Screwed Up On Donald Trump
Trump's nomination shows the need for a more rigorous approach.
By Nate Silver
Filed under 2016 Election
Donald Trump during a campaign event at the U.S. Cellular Convention Center on Feb. 1 in Cedar Rapids, Iowa.
Since Donald Trump effectively wrapped up the Rep... | CommonCrawl |
Anatomical, physical, and mechanical properties of four pioneer species in Malaysia
H. Hamdan1,
A. S. Nordahlia1,
U. M. K. Anwar1,
M. Mohd Iskandar1,
M. K. Mohamad Omar1 &
Tumirah K1
The purpose of this study is to evaluate the anatomical, physical, and mechanical properties of four pioneer species, i.e., batai (Parase... | CommonCrawl |
BMC Ecology
Composition, uniqueness and connectivity across tropical coastal lagoon habitats in the Red Sea
Zahra Alsaffar1,2,
João Cúrdia1,
Xabier Irigoien1,3,4 &
Susana Carvalho ORCID: orcid.org/0000-0003-1300-19531
BMC Ecology volume 20, Article number: 61 (2020) Cite this article
Tropical habitats and their associa... | CommonCrawl |
Knowledge Center / Application Notes / Optics / Introduction to Modulation Transfer Function
Introduction to Modulation Transfer Function http://www.edmundoptics.com/knowledge-center/application-notes/optics/introduction-to-modulation-transfer-function/
Edmund Optics Inc. http://www.edmundoptics.com
Introduction to Mod... | CommonCrawl |
In this post, I plan to introduce a few new special functions that appear in number theory and some infinite series identities that they satisfy. In particular, I will show some links between these number-theoretical functions and the Riemann Zeta function, and introduce a more general type of series, the Dirichlet Ser... | CommonCrawl |
BMC Medical Imaging
Performance of TGSE BLADE DWI compared with RESOLVE DWI in the diagnosis of cholesteatoma
Yaru Sheng1,
Rujian Hong1,
Yan Sha1,
Zhongshuai Zhang2,
Kun Zhou3 &
Caixia Fu3
BMC Medical Imaging volume 20, Article number: 40 (2020) Cite this article
Based on its high resolution in soft tissue, MRI, especi... | CommonCrawl |
Average value when it is not included in the support
There are a few ways I think of averages of a (discrete) random variable:
Average is an OLS estimate of running a regression of the random variable on a constant term. In that sense, it is a value that 'best' represents the data (minimizes the Euclidean distance)
A c... | CommonCrawl |
Helly–Bray theorem
In probability theory, the Helly–Bray theorem relates the weak convergence of cumulative distribution functions to the convergence of expectations of certain measurable functions. It is named after Eduard Helly and Hubert Evelyn Bray.
Let F and F1, F2, ... be cumulative distribution functions on th... | Wikipedia |
Metallic surface doping of metal halide perovskites
Yuze Lin ORCID: orcid.org/0000-0002-0325-38421,
Yuchuan Shao1,
Jun Dai2,
Tao Li3,
Ye Liu1,4,
Xuezeng Dai ORCID: orcid.org/0000-0002-5544-590X1,
Xun Xiao ORCID: orcid.org/0000-0002-9810-24481,
Yehao Deng ORCID: orcid.org/0000-0002-4119-71321,
Alexei Gruverman3,
Xiao Ch... | CommonCrawl |
\begin{definition}[Definition:Trimorphic Number]
An '''trimorphic number''' is a positive integer whose cube ends in that number.
\end{definition} | ProofWiki |
Let $x,$ $y,$ and $z$ be nonzero complex numbers such that $x + y + z = 20$ and
\[(x - y)^2 + (x - z)^2 + (y - z)^2 = xyz.\]Find $\frac{x^3 + y^3 + z^3}{xyz}.$
We have the factorization
\[x^3 + y^3 + z^3 - 3xyz = (x + y + z)(x^2 + y^2 + z^2 - xy - xz - yz).\]Expanding $(x - y)^2 + (x - z)^2 + (y - z)^2 = xyz,$ we get
... | Math Dataset |
Arthur–Merlin protocol
In computational complexity theory, an Arthur–Merlin protocol, introduced by Babai (1985), is an interactive proof system in which the verifier's coin tosses are constrained to be public (i.e. known to the prover too). Goldwasser & Sipser (1986) proved that all (formal) languages with interactiv... | Wikipedia |
central bank calendar 2022 pdf » cute nintendo switch oled case » general term of geometric sequence »
general term of geometric sequence
If you know the formula for the n th term of a sequence in terms of n , then you can find any term. A.geometric, 34, 39, 44 B.arithmetic, 32, 36, 41 C.arithmetic, 34, 39, 44 D.The se... | CommonCrawl |
Arithmetic of abelian varieties
In mathematics, the arithmetic of abelian varieties is the study of the number theory of an abelian variety, or a family of abelian varieties. It goes back to the studies of Pierre de Fermat on what are now recognized as elliptic curves; and has become a very substantial area of arithme... | Wikipedia |
Internal category
In mathematics, more specifically in category theory, internal categories are a generalisation of the notion of small category, and are defined with respect to a fixed ambient category. If the ambient category is taken to be the category of sets then one recovers the theory of small categories. In ge... | Wikipedia |
Yesterday I asked a question on parameterizations of knotted surfaces in $\mathbb R^4$. After I stated in the comments that I wanted the question to be kept to the case of a general surface, the question was promptly put on hold as "unclear what you're asking". I then refined my question to make it clearer. A day has s... | CommonCrawl |
\begin{document}
\title{A note on the radial solutions for the supercritical
H\'enon equation\thanks{Partially supported by M.I.U.R., national
project \textit{Metodi variazionali ed equazioni differenziali non
lineari}.}} \author{Vivina Barutello, Simone Secchi \\
\small{Dipartimento di Matematica ed App... | arXiv |
The equation of the hyperbola shown below can be written as
\[\frac{(y - k)^2}{a^2} - \frac{(x - h)^2}{b^2} = 1.\]Find $h + k + a + b.$
[asy]
unitsize(0.3 cm);
real upperhyper (real x) {
return (2*sqrt((x - 6)^2/16 + 1) - 5);
}
real lowerhyper (real x) {
return (-2*sqrt((x - 6)^2/16 + 1) - 5);
}
int i, n = 10;
... | Math Dataset |
\begin{document}
\title{Four-Qubit Monogamy and Four-Way Entanglement}
\author{DaeKil Park$^{1,2}$}
\affiliation{$^1$Department of Electronic Engineering, Kyungnam University, Changwon
631-701, Korea \\
$^2$Department of Physics, Kyungnam University, Changwon
631-70... | arXiv |
The Radiating Atom 6: Schrödinger's Equation in Real-Valued System Form
Schrödinger's equation, to start with for the electron of the Hydrogen atom, is usually written in the form
$ih\dot\Psi = H\Psi$,
with $\Psi (x,t)$ a complex-valued function of a space-time $(x,t)$, $\dot\Psi =\frac{\partial\psi}{\partial t}$, $H=-... | CommonCrawl |
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