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\begin{document} \title{Certification of Gaussian Boson Sampling via graph theory} \author{Taira Giordani} \thanks{These two authors contributed equally} \affiliation{Dipartimento di Fisica, Sapienza Universit\`{a} di Roma, Piazzale Aldo Moro 5, I-00185 Roma, Italy} \author{Valerio Mannucci} \thanks{These two autho...
arXiv
A simplicial generalisation of the Bloch ball February 5, 2021. I explore unitary orbits of density matrices for finite-dimensional quantum systems. The upshot is a neat scheme for representing orbits using simplices. The Bloch sphere represents the space of pure states on a single qubit (see also this recent post). Th...
CommonCrawl
\begin{definition}[Definition:Maximal Condition] Let $A$ be a commutative ring with unity. Let $M$ be an $A$-module. Let $(D,\subseteq)$ be the set of submodules of $M$ ordered by inclusion. Then the hypothesis :''Every non-empty subset of $D$ has a maximal element'' is called the '''maximal condition''' on submodules....
ProofWiki
Solutions of Pythagorean Equation 1.1 Primitive Solutions of Pythagorean Equation 1.2 General Solutions of Pythagorean Equation 2 Sequence 3 Historical Note Primitive Solutions of Pythagorean Equation The set of all primitive Pythagorean triples is generated by: $\tuple {2 m n, m^2 - n^2, m^2 + n^2}$ $m, n \in \Z_{>0}$...
CommonCrawl
Coefficient of variation calculator Coefficient of variation (CV) calculator - to find the ratio of standard deviation ((σ) to mean (μ). The main purpose of finding coefficient of variance (often abbreviated as CV) is used to study of quality assurance by measuring the dispersion of the population data of a probability...
CommonCrawl
\begin{document} \title[KAM rigidity for partially hyperbolic affine $\Z^k$ actions]{KAM rigidity for partially hyperbolic affine $\Z^k$ actions on the torus with a rank one factor} \author[Danijela Damjanovi\'c and Bassam Fayad]{Danijela Damjanovi\'c$^1$ and Bassam Fayad $^2$} \thanks{ $^1$ Based on research suppor...
arXiv
WizEdu What is the electric potential energy of the group of charges in (Figure 1)? Assume that q = -5.5 nC. In: Physics U= (value) (units) Concepts and reason The concepts used to solve this problem are electric potential energy and Pythagoras theorem. Initially use the Pythagoras theorem to calculate the hypotenuse d...
CommonCrawl
Focus on: All days Jun 11, 2018 Jun 12, 2018 Jun 13, 2018 Jun 14, 2018 Jun 15, 2018 All sessions Dust as a galaxy probe Dust as a tracer in the Milky Way and local galaxies Dust in AGN Dust in the early universe Dust in the solar system Dust production by supernovae and massive stars Dust production in low mass stars G...
CommonCrawl
Question on the application of the Borel-Cantelli lemma I have a question on the first proof on this pdf. Essentially, it is trying to prove the following statement: Let ${f_n}$ be a sequence of measurable functions on $[0, 1]$ with $|f_n(x)| < ∞$ for almost every $x$. Show that there exists a sequence $c_n$ of positiv...
CommonCrawl
Turbulence kinetic energy dissipation rates estimated from concurrent UAV and MU radar measurements Hubert Luce1, Lakshmi Kantha2, Hiroyuki Hashiguchi ORCID: orcid.org/0000-0001-8033-09553, Dale Lawrence2 & Abhiram Doddi2 Earth, Planets and Space volume 70, Article number: 207 (2018) Cite this article We tested models ...
CommonCrawl
Leonid Kantorovich Leonid Vitalyevich Kantorovich (Russian: Леони́д Вита́льевич Канторо́вич, IPA: [lʲɪɐˈnʲit vʲɪˈtalʲjɪvʲɪtɕ kəntɐˈrovʲɪtɕ] (listen); 19 January 1912 – 7 April 1986) was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources. He ...
Wikipedia
\begin{document} \begin{abstract} In this paper we prove that the \emph{linear Koszul duality} isomorphism for convolution algebras in $\mathsf{K}$-homology of \cite{MR3} and the \emph{Fourier transform} isomorphism for convolution algebras in Borel--Moore homology of \cite{EM} are related by the Chern character. So, ...
arXiv
Comparative transcriptome analysis of Glyphodes pyloalis Walker (Lepidoptera: Pyralidae) reveals novel insights into heat stress tolerance in insects Yuncai Liu1, Hang Su1, Rongqiao Li1, Xiaotong Li1, Yusong Xu1, Xiangping Dai1, Yanyan Zhou1 & Huabing Wang1 Heat tolerance is a key parameter that affects insect distribu...
CommonCrawl
Publication Info. Kyungpook Mathematical Journal Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과) This journal endeavours to publish research of broad interests in pure and applied mathematics. Each year one volume is published, consisting of four issues (March, June, September, December). KS...
CommonCrawl
\begin{document} \title{PMU Placement for Line Outage Identification via Multiclass Logistic Regression} \author{Taedong~Kim and Stephen~J.~Wright \thanks{This work was supported by a DOE grant subcontracted through Argonne National Laboratory Award 3F-30222, and National Science Foundation Grant DMS-1216318.} ...
arXiv
\begin{document} \theoremstyle{plain} \newtheorem{thm}{Theorem}[section] \newtheorem*{thmnonumber}{Theorem} \newtheorem{lemma}[thm]{Lemma} \newtheorem{prop}[thm]{Proposition} \newtheorem{cor}[thm]{Corollary} \newtheorem{open}[thm]{Open Problem} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{asmp}...
arXiv
\begin{document} \allowdisplaybreaks \begin{abstract} In this paper, we deal with the initial value fractional damped wave equation on $G$, a compact Lie group, with power-type nonlinearity. The aim of this manuscript is twofold. First, using the Fourier analysis on compact Lie groups, we prove a local ...
arXiv
determinant of correlation matrix The determinant of the correlation matrix will equal 1.0 only if all correlations equal 0, otherwise the determinant will be less than 1. Create your own correlation matrix. (This one has 2 Rows and 2 Columns) The determinant of that matrix is (calculations are explained later): 3×6 − ...
CommonCrawl
\begin{document} \title{Supplementary Information} \maketitle \section{The radius of a set of Hermitian operators} \begin{lemma} For any finite set $\{ H_i \}_{i \in \mathcal{I}}$ of Hermitian operators on a finite-dimensional Hilbert space $V$, the radius of $\{ H_i \}$ is equal to \begin{eqnarray*} \max_{\substa...
arXiv
\begin{document} \title{Promises Make Finite (Constraint Satisfaction) Problems Infinitary} \author{Libor Barto \thanks{ Libor Barto has received funding from the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme (grant agreement No 771005). } \\ Department of Al...
arXiv
\begin{document} \title{Kolmogorov distance between the exponential functionals of fractional Brownian motion } \author{Nguyen Tien Dung \footnote{Email: dung\_nguyentien10@yahoo.com} } \date{July 20, 2019} \maketitle \begin{abstract} In this note, we investigate the continuity in law with respect to the H...
arXiv
What do these labels for molecular electronic states mean? What do these symbols mean in excited states? $${}^2\!A_2,{}^2\!B_1,{}^4\!A''$$ I am confused with these representations, found in the abstract of this paper. I think it is kind of a representation of electronic excited states. The left superscript means spin m...
CommonCrawl
\begin{document} \begin{abstract} We construct a family of inequivalent Calabi-Yau metrics on $\mathbf{C}^3$ asymptotic to $\mathbf{C} \times A_2$ at infinity, in the sense that any two of these metrics cannot be related by a scaling and a biholomorphism. This provides the first example of families of Calabi...
arXiv
\begin{document} \setlength{\abovedisplayskip}{0.8ex} \setlength{\abovedisplayshortskip}{0.6ex} \setlength{\belowdisplayskip}{0.8ex} \setlength{\belowdisplayshortskip}{0.6ex} \title{\Large\textsc{Elliptic stars in a chaotic night} \abstract{A recurrent theme in the description of phase portraits of dynamical sys...
arXiv
\begin{document} \begin{frontmatter} \title{Estimating Causal Effects of HIV Prevention Interventions with Interference in Network-based Studies among People Who Inject Drugs} \runtitle{Causal Effects in Network-based Studies} \begin{aug} \author[A]{\fnms{TingFang} \snm{Lee}\ead[label=e1] {tingfanglee@uri.edu}}, \a...
arXiv
Earth, Planets and Space Frontier letter Q P structure of the accretionary wedge in the Kumano Basin, Nankai Trough, Japan, revealed by long-offset walk-away VSP Ryota Hino1, Takeshi Tsuji2, Nathan L Bangs3, Yoshinori Sanada4, Jin-Oh Park5, Roland von Huene6, Gregory F Moore7, Eiichiro Araki4 & Masataka Kinoshita4 Eart...
CommonCrawl
Gustav S. Christensen Gustav Strøm Christensen (1 April 1929 – 9 August 2007) was a Danish-Canadian academic mathematician and engineer. Born in Vesterø on the Danish island Læsø, he first worked as a radio operator in the Danish merchant marine. Later he became a professor of electrical engineering at the University ...
Wikipedia
A yogurt shop sells four flavors of yogurt and has six different toppings. How many combinations of one flavor and two different toppings are available? There are 4 choices of flavor, and $\binom{6}{2}=15$ ways to choose two of the six toppings. The total number of combinations is $4\cdot 15=\boxed{60}$.
Math Dataset
Studysync book grade 8 3 octave practice marimba Car coolant fluid Used tow trucks for sale by owner On the other hand, if the film thickness is 1/2 wavelength, the first wave gets a 1/2 wavelength shift and the other gets a wavelength shift; these waves would cancel each other out. Note that one has to be very careful...
CommonCrawl
\begin{document} \title[Orbital stability of ground states for a Sobolev critical Schr\"odinger equation]{Orbital stability of ground states \\ for a Sobolev critical Schr\"odinger equation} \author[L. Jeanjean, J. Jendrej, T.T. Le and N. Visciglia]{Louis Jeanjean, Jacek Jendrej, Thanh Trung Le and Nicola Visciglia...
arXiv
Molecular profiling of an oleaginous trebouxiophycean alga Parachlorella kessleri subjected to nutrient deprivation for enhanced biofuel production Kashif Mohd Shaikh1,2, Asha Arumugam Nesamma1, Malik Zainul Abdin2 & Pannaga Pavan Jutur ORCID: orcid.org/0000-0001-7988-28831 Biotechnology for Biofuels volume 12, Article...
CommonCrawl
Weak generator of Feller semigroup Let $(T_t)_{t \geq 0}$ a Feller semigroup and define a linear operator $(A,\mathcal{D}(A))$ by $$\mathcal{D}(A) := \left\{u \in C_{\infty}(\mathbb{R}^d); \exists f \in C_{\infty} \forall x \in \mathbb{R}^d: f(x) = \lim_{t \to 0} \frac{T_t u(x)-u(x)}{t} \right\} \\ Au(x) := \lim_{t \to...
CommonCrawl
Procrustes analysis In statistics, Procrustes analysis is a form of statistical shape analysis used to analyse the distribution of a set of shapes. The name Procrustes (Greek: Προκρούστης) refers to a bandit from Greek mythology who made his victims fit his bed either by stretching their limbs or cutting them off. In...
Wikipedia
\begin{document} \title{Homotopical decompositions of simplicial and Vietoris Rips complexes } \author{Wojciech Chach\'olski} \thanks{Mathematics, KTH, S-10044 Stockholm, Sweden\email{wojtek@kth.se} \email{alvinj@kth.se}\email{scola@kth.se} \email{tombari@kth.se} } \author{ Alvin Jin } \author{Martina Scolami...
arXiv
communications earth & environment The Arctic has warmed nearly four times faster than the globe since 1979 Enhanced Arctic warming amplification revealed in a low-emission scenario Jun Ono, Masahiro Watanabe, … Manabu Abe New climate models reveal faster and larger increases in Arctic precipitation than previously pro...
CommonCrawl
Describe the discovery that galaxies getting farther apart as the universe evolves Explain how to use Hubble's law to determine distances to remote galaxies Describe models for the nature of an expanding universe Explain the variation in Hubble's constant We now come to one of the most important discoveries ever made i...
CommonCrawl
Silverman–Toeplitz theorem In mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in summability theory characterizing matrix summability methods that are regular. A regular matrix summability method is a matrix transformation of a convergent sequence which preserves the limit.[1] ...
Wikipedia
About Iieta Search IIETA Content -Any-ArticleBasic pageBlog entryJournalEventFeature Home Journals MMEP The Impact of Media Awareness in Controlling the Spread of Infectious Diseases in Terms of SIR Model MMEP Citation List CiteScore 2020: 2.5 ℹCiteScore: CiteScore is the number of citations received by a journal in on...
CommonCrawl
Home | About | Contact Us | Publishers | Help | RSS Stability[x] Convergence 92D25 35B35 65M12 Hopf bifurcation Bifurcation 34D20 34K20 65M06 Existence Delay 92B05 Time delay 39B52 ( see all 86) China 282 (%) United States 242 (%) India 98 (%) Italy 81 (%) France 64 (%) ( see all 1262) Southeast University 12 (%) Unive...
CommonCrawl
Kai's thoughts Thoughts on acoustics, dynamics, structural mechanics, finite element analysis, programming and other stuff Mass-spring systems should be understood before they are used Mass-spring systems are often used to model the behavior of an isolated vibrating system. The mass-spring viewpoint should not be utili...
CommonCrawl
Slowly oscillating wavefronts of the KPP-Fisher delayed equation Quasiconformal Anosov flows and quasisymmetric rigidity of Hamenst$\ddot{a}$dt distances September 2014, 34(9): 3485-3510. doi: 10.3934/dcds.2014.34.3485 Dynamics of Klein-Gordon on a compact surface near a homoclinic orbit Benoît Grébert 1, , Tiphaine Jé...
CommonCrawl
\begin{document} \title{Cowen-Douglas Operator and Shift on Basis} \author{Juexian Li} \address{} \curraddr{School of Mathematics, Liaoning University, Shenyang 110036, People¡¯s Republic of China} \email{juexianli@sina.com} \thanks{This project is supported by the National Natural Science Foundation of China (Gra...
arXiv
Switch to: References Citations of: Defining LFIs and LFUs in extensions of infectious logics Szmuc Damian Enrique Journal of Applied Non-Classical Logics 26 (4):286-314 (2016) Add citations You must login to add citations. Logics of Variable Inclusion and the Lattice of Consequence Relations.Michele Pra Baldi - 2020 -...
CommonCrawl
Implicit curve In mathematics, an implicit curve is a plane curve defined by an implicit equation relating two coordinate variables, commonly x and y. For example, the unit circle is defined by the implicit equation $x^{2}+y^{2}=1$. In general, every implicit curve is defined by an equation of the form $F(x,y)=0$ fo...
Wikipedia
Rollback to Blog - the color of night Rev #9 <h2>Or: how big is the "greenhouse effect" really?</h2> +-- {: .standout} This page is a [[Blog articles in progress|blog article in progress]], written by [[Tim van Beek]]. =-- When we talked about <a href="http://johncarlosbaez.wordpress.com/2011/06/19/putting-the-earth-in...
CommonCrawl
\begin{definition}[Definition:Electric Potential/Dimension] The dimension of measurement of '''electric potential''' is $\mathsf M \mathsf L^2 \mathsf T^{−3} \mathsf I^{−1}$. \end{definition}
ProofWiki
\begin{document} \begin{abstract} We characterize Priestley spaces of algebraic, arithmetic, coherent, and Stone frames. As a corollary, we derive the well-known dual equivalences in pointfree topology involving various categories of algebraic frames. \end{abstract} \title{Algebraic Frames in Priestley duality} ...
arXiv
Russell's paradox but set with sets of 2-element sets. [closed] Want to improve this question? Update the question so it's on-topic for Mathematics Stack Exchange. How do you prove that set of all 2-element sets does not exist basing on russell's paradox. Seems pretty obvious to me but no idea how to make a proper proo...
CommonCrawl
Curie–Weiss law About: Curie–Weiss law is a(n) research topic. Over the lifetime, 3501 publication(s) have been published within this topic receiving 60002 citation(s). Book• Spin Fluctuations in Itinerant Electron Magnetism Tôru Moriya1, Yoshinori Takahashi1• Institutions (1) University of Tokyo1 Abstract: A general t...
CommonCrawl
How many X-rays does a light bulb emit? I read somewhere that most things1 emits all kinds of radiation, just very few of some kinds. So that made me wondering whether there is a formula to calculate how many X-rays an 100W incandescent light bulb would emit, for example in photons per second. For example, we already k...
CommonCrawl
\begin{document} \pagestyle{plain} \title{\LARGE{\textbf{Hyperbolic geometry and real moduli \\ of five points on the line} \abstract{\noindent \footnotesize{We show that each connected component of the moduli space of smooth real binary quintics is isomorphic to an arithmetic quotient of an open subset of the real...
arXiv
Sensitivity of the mean to outliers Is the mean sensitive to the presence of outliers? I initially thought it wasn't, because a small amount of observations shouldn't have much impact, but was told that since those observations have very different values from the rest, they have a considerable impact. Thoughts? mean ou...
CommonCrawl
Methodology article Micro-CT imaging of live insects using carbon dioxide gas-induced hypoxia as anesthetic with minimal impact on certain subsequent life history traits Danny Poinapen1,3, Joanna K. Konopka2,3, Joseph U. Umoh1, Chris J. D. Norley1, Jeremy N. McNeil2 & David W. Holdsworth1 Live imaging of whole inverteb...
CommonCrawl
Romain Pétrides (Paris Diderot University) will speak in the geometry seminar on Tuesday 19 June, at 1.30pm in the Salle de Profs. Romain's title is Min-Max construction for free boundary minimal disks and his abstract is below. We will discuss existence of minimal disks into a Riemannian manifold having a boundary lyi...
CommonCrawl
The sum of the digits of a two-digit number is $13.$ The difference between the number and the number with its digits reversed is $27.$ What is the sum of the original number and the number with its digits reversed? The two digit number can be represented as $10x + y,$ where $x$ and $y$ are digits, with $x \neq 0.$ We...
Math Dataset
OSA Publishing > Optical Materials Express > Volume 10 > Issue 11 > Page 2952 Alexandra Boltasseva, Editor-in-Chief 3D printed multimode-splitters for photonic interconnects Johnny Moughames, Xavier Porte, Laurent Larger, Maxime Jacquot, Muamer Kadic, and Daniel Brunner Johnny Moughames,1,2 Xavier Porte,1,2,* Laurent L...
CommonCrawl
Floyd's triangle Floyd's triangle is a triangular array of natural numbers used in computer science education. It is named after Robert Floyd. It is defined by filling the rows of the triangle with consecutive numbers, starting with a 1 in the top left corner: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 The problem of writi...
Wikipedia
\begin{document} \title{On generalized discrete PML optimized for propagative and evanescent waves} \author{Vladimir Druskin, \thanks{Schlumberger-Doll Research} \and Murthy Guddati \thanks{North Carolina State University} \and Thomas Hagstrom, \thanks{Southern Methodist University}} \maketitle \begin{abstract} W...
arXiv
\begin{document} \title[The Daugavet property for bilinear maps]{Slice continuity for operators and the Daugavet property for bilinear maps} \author{Enrique A. S\'anchez P\'erez and Dirk Werner} \subjclass[2000]{Primary 46B04; secondary 46B25} \keywords{Daugavet property, slice, bilinear maps} \thanks{The au...
arXiv
Research Article | Open | Published: 01 June 2017 The impact of poverty on dog ownership and access to canine rabies vaccination: results from a knowledge, attitudes and practices survey, Uganda 2013 Ryan MacLaren Wallace1, Jason Mehal1, Yoshinori Nakazawa1, Sergio Recuenco1, Barnabas Bakamutumaho2, Modupe Osinubi1, Vi...
CommonCrawl
Daniel McNeela Machine Language PDF version of my resume My coding portfolio Posts about mathematics Posts about machine learning Posts about biotech and bioinformatics Books I've Read Bikes I Like The Problem(s) with Policy Gradient If you've read my article about the REINFORCE algorithm, you should be familiar with t...
CommonCrawl
\begin{document} \title{f On a generalization\ of the Gauss's formula} \begin{abstract} In this paper we study a group theoretical generalization of the well-known Gauss's formula that uses the generalized Euler's totient function introduced in \cite{11}. \end{abstract} \noindent{\bf MSC (2010):} Primary 20D60, 11A...
arXiv
Relationship between maximum oxygen uptake and peripheral vasoconstriction in a cold environment Takafumi Maeda ORCID: orcid.org/0000-0001-9073-27711,2 Various individual characteristics affect environmental adaptability of a human. The present study evaluates the relationship between physical fitness and peripheral va...
CommonCrawl
Nicola Fergola Nicola Fergola (1753–1824) was an Italian mathematician, professor in the University of Naples. Nicola Fergola Born(1753-10-29)29 October 1753 Naples, Kingdom of Naples, today Italy Died21 June 1824(1824-06-21) (aged 70) Naples, Kingdom of Two Sicilies, today Italy Resting placeBasilica di San Paolo Ma...
Wikipedia
Hybrid fractal acoustic metamaterials for low-frequency sound absorber based on cross mixed micro-perforated panel mounted over the fractals structure cavity SeMSA: a compact super absorber optimised for broadband, low-frequency noise attenuation Andrew McKay, Ian Davis, … Gareth J. Bennett Subwavelength broadband soun...
CommonCrawl
\begin{definition}[Definition:Cofactor/Minor] Let: : $D = \begin{vmatrix} a_{11} & a_{12} & \cdots & a_{1n} \\ a_{21} & a_{22} & \cdots & a_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{n1} & a_{n2} & \cdots & a_{nn}\end{vmatrix}$ be a determinant of order $n$. Let $D \left({r_1, r_2, \ldots, r_k \mid s_1, s_2, ...
ProofWiki
Global analytic function In the mathematical field of complex analysis, a global analytic function is a generalization of the notion of an analytic function which allows for functions to have multiple branches. Global analytic functions arise naturally in considering the possible analytic continuations of an analytic ...
Wikipedia
Previous abstract Next abstract Session 68 -- Solar Activity Oral presentation, Thursday, January 13, 2:15-3:45, Salons A/B Room (Crystal City Marriott) [68.01] A Multiwavelength Study of Solar Ellerman Bombs Tamara E. W. Payne (U. S. Air Force Phillips Laboratory) Solar Ellerman bombs (also known as moustaches) are sm...
CommonCrawl
\begin{definition}[Definition:Integral Transform/Kernel] Let $\map F p$ be an integral transform: :$\map F p = \ds \int_a^b \map f x \map K {p, x} \rd x$ The function $\map K {p, x}$ is the '''kernel''' of $\map F p$. \end{definition}
ProofWiki
Ordering non-bipartite unicyclic graphs with pendant vertices by the least Q-eigenvalue Shu-Guang Guo1, Xiaorong Liu1,2, Rong Zhang1 & Guanglong Yu1 Journal of Inequalities and Applications volume 2016, Article number: 136 (2016) Cite this article A unicyclic graph is a connected graph whose number of edges is equal to...
CommonCrawl
Preprint acp-2021-775 https://doi.org/10.5194/acp-2021-775 Review status: a revised version of this preprint was accepted for the journal ACP and is expected to appear here in due course. Comparison of computational and experimental saturation vapor pressures of α-pinene + O3 oxidation products Noora Hyttinen1,a, Iida ...
CommonCrawl
Clinical Phytoscience International Journal of Phytomedicine and Phytotherapy In vitro antimalarial activity evaluation of two ethnomedicinal plants against chloroquine sensitive and resistant strains of Plasmodium falciparum Original contribution Neelutpal Gogoi ORCID: orcid.org/0000-0001-5419-39421, Bhaskarjyoti Gogo...
CommonCrawl
Broadband Bending of Flexural Waves: Acoustic Shapes and Patterns Amir Darabi1, Ahmad Zareei2, Mohammad-Reza Alam ORCID: orcid.org/0000-0002-9730-07172 & Michael J. Leamy ORCID: orcid.org/0000-0002-9914-640X1 Devices for energy harvesting Directing and controlling flexural waves in thin plates along a curved trajectory...
CommonCrawl
neverendingbooks Tag: braid group F_un and braid groups Published June 15, 2008 by lievenlb Recall that an n-braid consists of n strictly descending elastic strings connecting n inputs at the top (named 1,2,…,n) to n outputs at the bottom (labeled 1,2,…,n) upto isotopy (meaning that we may pull and rearrange the string...
CommonCrawl
Home Journals JNMES Modeling and Control of Power System Containing PV System and SMES using Sliding Mode and Field Control Strategy Modeling and Control of Power System Containing PV System and SMES using Sliding Mode and Field Control Strategy Boudia Assam | Messalti Sabir | Harrag Abdelghani Department of Electrical...
CommonCrawl
A control system, which is usually understood to mean a finite automaton (cf. Automaton, finite) or one of its modifications obtained by changing components or the mode of operation. The principal concept — a finite automaton — originated in the mid-20th century in connection with attempts to describe, in mathematical ...
CommonCrawl
多体系统碰撞动力学中接触力模型的研究进展 王庚祥, 马道林, 刘洋, 刘才山 王庚祥, 马道林, 刘洋, 刘才山. 多体系统碰撞动力学中接触力模型的研究进展. 力学学报, 2022, 54(12): 3239-3266 doi: 10.6052/0459-1879-22-266 引用本文: 王庚祥, 马道林, 刘洋, 刘才山. 多体系统碰撞动力学中接触力模型的研究进展. 力学学报, 2022, 54(12): 3239-3266 doi: 10.6052/0459-1879-22-266 Wang Gengxiang, Ma Daolin, Liu Yang, Liu Caishan. Research progress of co...
CommonCrawl
\begin{document} \title{Resolutions by permutation modules} \author{Paul Balmer} \author{Dave Benson} \date{2020 March 9} \address{Paul Balmer, Mathematics Department, UCLA, Los Angeles, CA 90095-1555, USA} \email{balmer@math.ucla.edu} \urladdr{http://www.math.ucla.edu/$\sim$balmer} \address{Dave Benson, Institute o...
arXiv
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain? [asy] draw((0,0)--(3,0)--(3,3)--(0,3)--cycle); fill((0,0)--(3,0)-...
Math Dataset
Does every continuous map $f$ from $D^2$ minus $k$ disjoint open disks to itself have a fixed point? Let $A_k$ denote $D^2$ with $k\geq 0$ disjoint open disks removed. For $k=0$, the answer is positive by Brouwer's fixed point theorem. For $1\leq k\neq 2$, it's not difficult to see that the answer is negative: by arran...
CommonCrawl
\begin{document} \title{From Odometers to Circular Systems:\ A Global Structure Theorem} \begin{abstract}{The main result of this paper is that two large collections of ergodic measure preserving systems, the \emph{Odometer Based} and the \emph{Circular Systems} have the same global structure with respect to join...
arXiv
Jiří Patera (mathematician) Jiří Patera (10 October 1936 – 3 January 2022) was a Czech-born Canadian mathematician and academic.[1] He taught at the Université de Montréal and was known for his work in group theory, Lie groups, and cryptography. Jiří Patera Patera in 2008 Born(1936-10-10)10 October 1936 Zdice, Czecho...
Wikipedia
Boolean satisfiability problem In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula. In other words, i...
Wikipedia
The value of $\sqrt{73}$ is between two positive, consecutive integers. What is the product of these two integers? Since $73$ is between $64=8^{2}$ and $81=9^{2}$, we know that $\sqrt{73}$ is between $8$ and $9.$ Our answer is $8\cdot9=\boxed{72}.$
Math Dataset
4.2: Four-vectors (Part 2) [ "article:topic", "authorname:crowellb", "Gravitational red-shifts", "Ives\u2013Stilwell experiments", "Four-vector", "license:ccbysa", "showtoc:no" ] Book: General Relativity (Crowell) 4: Tensors Contributed by Benjamin Crowell Professor (Physics) at Fullerton College The Frequency Vector a...
CommonCrawl
Dark Matter and Living Matter Dark matter and living matter represent two deep mysteries of the recent world view. There however exists an amazing possibility that there might be close connection between these mysteries. Do Bohr rules apply to astrophysical systems? D. Da Rocha and Laurent Nottale have proposed that Sc...
CommonCrawl
# Linear control and its applications in optimization Linear control is a mathematical framework that deals with the analysis and design of control systems. These systems are characterized by linear equations and linear constraints. Linear control has several applications in optimization, including the design of o...
Textbooks
Order-5 tesseractic honeycomb In the geometry of hyperbolic 4-space, the order-5 tesseractic honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {4,3,3,5}, it has five 8-cells (also known as tesseracts) around each face. Its dual is the order-4 120-cell honeycomb,...
Wikipedia
\begin{document} \title{ \huge Normal approximation for sums of discrete $U$-statistics - application to Kolmogorov bounds in random subgraph counting } \author{Nicolas Privault\thanks{ School of Physical and Mathematical Sciences, Nanyang Technological University, SPMS-MAS-05-43, 21 Nanyang Link, Singapor...
arXiv
\begin{document} \begin{abstract} For a finite abelian $p$-group $A$ and a subgroup $\Gamma\le\Aut(A)$, we say that the pair $(\Gamma,A)$ is fusion realizable if there is a saturated fusion system $\calf$ over a finite $p$-group $S\ge A$ such that $C_S(A)=A$, $\autf(A)=\Gamma$ as subgroups of $\Aut(A)$, and $A\nns...
arXiv
Do electrons collapse into nucleus, if electrons in the atom are constantly excited? From the Bohr's atomic model, it is clear that electron can have only certain definite energy levels. When the electron is present as close to the nucleus as possible, the atom has the minimum possible energy and is said to be in the g...
CommonCrawl