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There has been much said in the popular media about declining standards and participation in secondary school mathematics in Australia.
It is strange that it should be so, but it is true all the same, that many of the most debated aspects of Mathematics concern matters that are really completely trivial.
The Marriage P... | CommonCrawl |
Alan Baker (mathematician)
Alan Baker FRS[1] (19 August 1939 – 4 February 2018[2]) was an English mathematician, known for his work on effective methods in number theory, in particular those arising from transcendental number theory.
Alan Baker
FRS
Born(1939-08-19)19 August 1939
London, England
Died4 February 2018(2... | Wikipedia |
\begin{document}
\title{\textit{\textbf{\boldmath Complex uniformly resolvable decompositions of $K_v$ }}}
\author[1]{\textsf{\textbf{Csilla Bujt\' as}} \thanks{Supported by the Slovenian Research Agency under the project N1-0108}$^,\!\! $ } \author[2]{\textsf{\textbf{Mario Gionfriddo}} } \author[2]{\textsf{\textbf{E... | arXiv |
# Creating and calling SQL functions in PostgreSQL
To create a SQL function in PostgreSQL, you use the `CREATE FUNCTION` statement. This statement defines the function's name, input parameters, return type, and the body of the function. The function's body is a list of SQL statements separated by semicolons.
Here's... | Textbooks |
The dartboard below has a radius of 6 inches. Each of the concentric circles has a radius two inches less than the next larger circle. If nine darts land randomly on the target, how many darts would we expect to land in a non-shaded region?
[asy]import graph;
fill(Circle((0,0),15),gray(0.7));
fill(Circle((0,0),10),whi... | Math Dataset |
\begin{document}
\title{Firefly Algorithms for Multimodal Optimization}
\author{Xin-She Yang \\ Department of Engineering, University of Cambridge, \\ Trumpington Street, Cambridge CB2 1PZ, UK }
\date{}
\maketitle
\abstract{ Nature-inspired algorithms are among the most powerful algorithms for optimization. This ... | arXiv |
Methodology Article | Open | Published: 27 February 2017
MINT: a multivariate integrative method to identify reproducible molecular signatures across independent experiments and platforms
Florian Rohart1,
Aida Eslami2,
Nicholas Matigian1,
Stéphanie Bougeard3 &
Kim-Anh Lê Cao1
BMC Bioinformaticsvolume 18, Article number... | CommonCrawl |
EVOLUTION OF THE PRIMORDIAL MAGNETIC FIELD I. INITIAL MORPHOLOGY AND STRENGTH
Jung, Jae-Hun;Park, Chang-Bom 109
The morphology and strength of the primordial magnetic field which is generated spontaneously in the early universe are studied for three models: (1) inflation (2) primordial magnetized bubble and (3) primord... | CommonCrawl |
Future research directions
List of symbols
Use of agro-industrial residue from the canned pineapple industry for polyhydroxybutyrate production by Cupriavidus necator strain A-04
Vibhavee Sukruansuwan1 and
Suchada Chanprateep Napathorn1Email authorView ORCID ID profile
Biotechnology for Biofuels201811:202
Accepted: 16 ... | CommonCrawl |
Feynman's explanation of virtual work given in his book Feynman's lectures on Physics
In his book Chapter 4 Conservation of Energy, on Gravitational potential energy the discussion goes...
Take now the somewhat more complicated example shown in Fig. 4-6. A rod or bar, 8 feet long, is supported at one end. In the middle... | CommonCrawl |
\begin{document}
\title{Fractal Autoencoders for Feature Selection}
\begin{abstract} Feature selection reduces the dimensionality of data by identifying a subset of the most informative features. In this paper, we propose an innovative framework for unsupervised feature selection, called fractal autoencoders (FAE). I... | arXiv |
Key Formulas
Exponent Laws and Logarithm Laws
Trig Formulas and Identities
Differentiation Rules
Trig Function Derivatives
Table of Derivatives
Table of Integrals
Jump to solved problems
Evaluating Limits
Limits at Infinity
Limits at Infinity with Square Roots
Calculating Derivatives
Equation of a Tangent Line
Mean Val... | CommonCrawl |
Data-driven discovery of the governing equations of dynamical systems via moving horizon optimization
Sparse inference and active learning of stochastic differential equations from data
Yunfei Huang, Youssef Mabrouk, … Benedikt Sabass
Robust learning from noisy, incomplete, high-dimensional experimental data via physic... | CommonCrawl |
MITA RAJARAM
Articles written in Journal of Earth System Science
Volume 91 Issue 1 March 1982 pp 79-83
Induction by long period geomagnetic variations in the Indian sub-continent
Mita Rajaram B P Singh S Y Waghmare
In the present paper storm time variations and 27-day geomagnetic periodicity have been analysed to estim... | CommonCrawl |
# Mathematical background: Fourier transform and convolution
The Fourier transform is a mathematical tool that allows us to analyze signals in the frequency domain. It is defined as the integral of a function multiplied by the complex exponential of a frequency variable. The Fourier transform is a fundamental concep... | Textbooks |
\begin{document}
\title{Suppressing decoherence and improving entanglement by quantum-jump-based feedback control in two-level systems} \author{S. C. Hou} \author{X. L. Huang} \author{X. X. Yi} \affiliation{School of Physics and Optoelectronic Technology,\\ Dalian University of Technology, Dalian 116024 China}
\date... | arXiv |
Decay Formula
A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. The decay law calculates the number of undecayed nuclei in a given radioactive substance.
Decay Formula –
Formula for Half-Life in Exponential Decay –
\[\large N(t)=N_{0}\left ( \frac{1}{2}^{\frac{t}{t_... | CommonCrawl |
Abstract: Here we review some results of J. -H. Lee of the $N\times N$ Zakharov–Shabat system with a polynomial spectral parameter. We define a scattering transform following the set-up of Beals–Coifman . In the $2 \times 2$ cases, we modify the Kaup–Newell and Kuznetsov–Mikhailov system to assure the normalization wit... | CommonCrawl |
\begin{document}
\begin{abstract} We investigate composition-differentiation operators acting on the Dirichlet space of the unit disk. Specifically, we determine characterizations for bounded, compact, and Hilbert-Schmidt composition-differentiation operators. In addition, for particular classes of inducing maps, ... | arXiv |
\begin{document}
\begin{frontmatter}
\title{Wavepacket approach to particle diffraction by thin targets: \\ quantum trajectories and arrival times} \author[ceft]{C. Efthymiopoulos} \ead{cefthim@academyofathens.gr} \author[ndel]{N. Delis} \ead{delnike@gmail.com} \author[gcon]{G. Contopoulos} \ead{gcontop@academyofathe... | arXiv |
# Mechanical Behavior of Materials: A Comprehensive Guide":
## Foreword
In the ever-evolving field of materials engineering, understanding the mechanical behavior of materials is of paramount importance. This book, "Mechanical Behavior of Materials: A Comprehensive Guide", is designed to provide a thorough unde... | Textbooks |
Time-frequency feature extraction for classification of episodic memory
Rachele Anderson1 &
Maria Sandsten1
This paper investigates the extraction of time-frequency (TF) features for classification of electroencephalography (EEG) signals and episodic memory. We propose a model based on the definition of locally station... | CommonCrawl |
\begin{definition}[Definition:Cullen Prime]
A '''Cullen prime''' is a Cullen number:
:$n \times 2^n + 1$
which is also prime.
\end{definition} | ProofWiki |
\begin{document}
\title{On solving systems of random linear disequations} \author{ {G\'abor Ivanyos}\thanks{ {Computer and Automation Research Institute of the Hungarian Academy of Sciences, Kende u. 13-17, H-1111 Budapest, Hungary.} {E-mail: \tt Gabor.Ivanyos@sztaki.hu.} {Research partially supported by the DIAMANT m... | arXiv |
Rybicki Press algorithm
The Rybicki–Press algorithm is a fast algorithm for inverting a matrix whose entries are given by $A(i,j)=\exp(-a\vert t_{i}-t_{j}\vert )$, where $a\in \mathbb {R} $[1] and where the $t_{i}$ are sorted in order.[2] The key observation behind the Rybicki-Press observation is that the matrix inve... | Wikipedia |
MathOverflow is a question and answer site for professional mathematicians. It only takes a minute to sign up.
Holomorphic h-principle for compact manifolds
The Oka principle for Stein manifolds says (roughly) that the only obstructions for "things" are topological obstructions (for instance every smooth complex vector... | CommonCrawl |
\begin{document}
\title{Time reversal of Volterra processes driven stochastic
differential equations} \author{L. Decreusefond} \address{Institut
TELECOM - TELECOM ParisTech - CNRS LTCI\\ Paris, France} \email{Laurent.Decreusefond@telecom-paristech.fr} \date{} \keywords{fractional Brownian motion, Malliavin calculu... | arXiv |
Hostname: page-component-7ccbd9845f-hcslb Total loading time: 1.766 Render date: 2023-01-29T20:33:11.684Z Has data issue: true Feature Flags: { "useRatesEcommerce": false } hasContentIssue true
>Journals
>British Journal of Nutrition
>Volume 112 Issue 1
>Iron deficiency is uncommon among lactating women in...
Iron defi... | CommonCrawl |
Math Proofs
Derivative of sin(x)
The derivative of $ \sin(x) $ is:
$$ \tfrac{d}{dx}\big(\sin(x)\big) = \cos(x) $$
Take the definition of the derivative:
$$ \tfrac{d}{dx}\big(\sin(x)\big) = \lim_{h \to 0} \left(\frac{\sin(x + h) - \sin(x)}{h}\right) $$
Use the angle sum formula for sine to expand $ \sin(x + h) $:
$$ \tf... | CommonCrawl |
\begin{document}
\title{A harmonic Lanczos bidiagonalization method for computing interior singular triplets of large matrices}
\titlerunning{harmonic method for interior SVD problems}
\author{Datian Niu \and
Xuegang Yuan}
\institute{D. Niu \at
School of Science, Dalian Nationalities U... | arXiv |
\begin{definition}[Definition:Classical Algorithm/Multiplication]
Let $u = \sqbrk {u_{m - 1} u_{m - 2} \dotsm u_1 u_0}_b$ and $v = \sqbrk {v_{n - 1} v_{n - 2} \dotsm v_1 v_0}_b$ be $m$-digit and $n$-digit integers respectively.
The '''classical multiplication algorithm''' forms their $m + n$-digit product $u v$:
:$w = ... | ProofWiki |
Forthcoming papers
Mat. Sb.:
Mat. Sb. (N.S.), 1969, Volume 78(120), Number 4, Pages 611–632 (Mi msb3573)
Integral representations of functions holomorphic in strictly pseudo-convex domains and some applications
G. M. Henkin
Mathematics of the USSR-Sbornik, 1969, 7:4, 597–616
Bibliographic databases:
UDC: 517.551
MSC: 3... | CommonCrawl |
# Overview of linear algebra and matrices
Linear algebra is a branch of mathematics that deals with linear equations and their representations using matrices and vectors. Matrices are rectangular arrays of numbers that represent linear equations and their solutions. They are used in various fields such as physics, e... | Textbooks |
The arithmetic progressions $\{2, 5, 8, 11, \ldots\}$ and $\{3, 10, 17, 24, \ldots \}$ have some common values. What is the largest value less than 500 that they have in common?
Let $a$ be a common term. We know that \begin{align*}
a&\equiv 2\pmod 3\\
a&\equiv 3\pmod 7
\end{align*} Congruence $(1)$ means that there ex... | Math Dataset |
Michael Viscardi
Michael Anthony Viscardi (born February 22, 1989 in Plano, Texas) of San Diego, California is an American mathematician who, as a highschooler, won the 2005 Siemens Competition and Davidson Fellowship with a mathematical project on the Dirichlet problem, whose applications include describing the flow ... | Wikipedia |
\begin{document}
\begin{abstract} The intrinsic volumes of a convex body are fundamental invariants that capture information about the average volume of the projection of the convex body onto a random subspace of fixed dimension. The intrinsic volumes also play a central role in integral geometry formulas that descri... | arXiv |
\begin{document}
\newtheorem{thm}{Theorem}[section] \newtheorem{corollary}[thm]{Corollary} \newtheorem{prop}[thm]{Proposition} \newtheorem{lemma}[thm]{Lemma}
\theoremstyle{remark} \newtheorem{remark}[thm]{Remark}
\numberwithin{equation}{section}
\def\alpha{\alpha} \def\beta{\beta} \def\gamma{\gamma}
\def\delta{\de... | arXiv |
\begin{document}
\begin{abstract} We show that the minimal number of critical points of a function on a given closed manifold $M$ of dimension at least $6$ is the same as the minimal number of elements in a Singhof-Takens filling of $M$ by smooth balls with corners. \end{abstract} \maketitle
\section{Introduction} G... | arXiv |
What is the remainder of $5^{2010}$ when it is divided by 7?
We start by writing out some powers of five modulo 7. \begin{align*}
5^1 &\equiv 5 \pmod{7} \\
5^2 &\equiv 4 \pmod{7} \\
5^3 &\equiv 6 \pmod{7} \\
5^4 &\equiv 2 \pmod{7} \\
5^5 &\equiv 3 \pmod{7} \\
5^6 &\equiv 1 \pmod{7}
\end{align*}Therefore, we have that ... | Math Dataset |
\begin{document}
{
\sloppy
\begin{center} {\bf \Large\bf On the measuring of independence degree of the two discrete random variables.} \\
E.А.Yanovich \\
University of St. Petersburg,\\
Department of Higher Mathematics,\\
Moskovskii 151a, 59, St. Petersburg, 196128 Russia\\
E-mail: teduard@land.ru \end{c... | arXiv |
\begin{document}
\title[Embedding cycles in finite planes]{Embedding cycles in finite planes} \author{Felix Lazebnik} \address{Department of Mathematical Sciences\\ University of Delaware\\ Newark, DE 19716.} \email{lazebnik@math.udel.edu} \author{Keith E. Mellinger} \address{Department of Mathematics\\ University of ... | arXiv |
Novel link prediction for large-scale miRNA-lncRNA interaction network in a bipartite graph
Zhi-An Huang1,2 na1,
Yu-An Huang3 na1,
Zhu-Hong You3,
Zexuan Zhu1 &
Yiwen Sun4
BMC Medical Genomics volume 11, Article number: 113 (2018) Cite this article
Current knowledge and data on miRNA-lncRNA interactions is still limited... | CommonCrawl |
CABI Agriculture and Bioscience
Journal Videos
A double hurdle estimation of crop diversification decisions by smallholder wheat farmers in Sinana District, Bale Zone, Ethiopia
Dereje Derso1,
Degefa Tolossa2 &
Abrham Seyoum2
CABI Agriculture and Bioscience volume 3, Article number: 25 (2022) Cite this article
Ethiopia ... | CommonCrawl |
Gradshteyn and Ryzhik
Gradshteyn and Ryzhik (GR) is the informal name of a comprehensive table of integrals originally compiled by the Russian mathematicians I. S. Gradshteyn and I. M. Ryzhik. Its full title today is Table of Integrals, Series, and Products.
Table of Integrals, Series, and Products
Gradshteyn and Ryz... | Wikipedia |
Is Lebesgue's "universal covering" problem still open?
The following problem has been attributed to Lebesgue. Let "set" denote any subset of the Euclidean plane. What is the greatest lower bound of the diameter of any set which contains a subset congruent to every set of diameter 1? There are a number of interesting ge... | CommonCrawl |
Resonances: Second Language Development and Language Planning and Policy from a Complexity Theory Perspective
DOI:10.1007/978-3-319-75963-0_12
In book: Language Policy and Language Acquisition Planning (pp.203-217)
Diane Larsen-Freeman
To read the full-text of this research, you can request a copy directly from the aut... | CommonCrawl |
\begin{document}
\begin{frontmatter}
\title{Tail processes for stable-regenerative multiple-stable model}
\runtitle{Tail processes for stable-regenerative model}
\begin{aug}
\author[A]{\fnms{Shuyang} \snm{Bai}\ead[label=e1]{bsy9142@uga.edu}}, \and \author[B]{\fnms{Yizao} \snm{Wang}\ead[label=e2]{yizao.wang@uc.edu}... | arXiv |
\begin{document}
\allowdisplaybreaks \title[Generic Initial Ideal]
{Generic Initial Ideals of Artinian ideals having Lefschetz Properties or the strong Stanley Property}
\author[Jea Man Ahn, Young Hyun Cho, and Jung Pil Park] {Jea Man Ahn$^{\dag}$, Young Hyun Cho$^{\ddag}$, and Jung Pil Park$^{\dag\dag}$}
\add... | arXiv |
\begin{document}
\title{\huge The Residual Intersection Formula of Type II Exceptional Curves} \author{Ai-Ko Liu\footnote{Current Address: Mathematics Department of U.C. Berkeley}\footnote{
HomePage:math.berkeley.edu/$\sim$akliu}} \date{June, 16} \maketitle
\newtheorem{main}{Main Theorem} \newtheorem{theo}{Theorem}... | arXiv |
\begin{document}
\begin{abstract}
The chromatic threshold $\delta_\chi(H,p)$ of a graph $H$ with respect to
the random graph $G(n,p)$ is the infimum over $d > 0$ such that the
following holds with high probability: the family of $H$-free graphs $G \subset G(n,p)$ with minimum degree $\delta(G) \ge dpn$ has bound... | arXiv |
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Based on the idea and the provided source code of Andrej Karpathy (arxiv-sanity)
RATIR Followup of LIGO/Virgo Gravitational Wave Events (1706.03898)
V. Zach Golkhou, Nathaniel R. Butler, Robert Strausbaugh, Eleonor... | CommonCrawl |
Tensor product of modules
In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms of linear maps. The module construction is analogous to the construction of the tensor product of vector spaces, but can be carried out fo... | Wikipedia |
\begin{document}
\title [Area-minimizing hypersurfaces in manifolds] {Area-minimizing hypersurfaces in manifolds of Ricci curvature bounded below}
\author{Qi Ding} \address{Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200438, China} \email{dingqi@fudan.edu.cn}
\begin{abstract} In this paper,... | arXiv |
Special & General Relativity
Futurism & Space Travel
Gregory Leal
Calculating the Arc Length of a Curve
In this lesson, we'll use the concept of the definite integral to calculate the arc length of a curve. Let's say that the curve \(P_1P_n\) in Figure 1 is any arbitrary curve. Let's subdivide this curve into an \(n\) ... | CommonCrawl |
Antimatter is matter that is composed of the antiparticles of those that constitute normal matter. In 1929-31, Paul Dirac put forward a theory that for each type of particle, there is an antiparticle for which each additive quantum number has the negative of the value it has for the normal matter particle. The sign rev... | CommonCrawl |
Computational Complexity: A Conceptual Perspective
Oded Goldreich
This book is rooted in the thesis that complexity theory is extremely rich in conceptual content, and that this contents should be explicitly communicated in expositions and courses on the subject. It focuses on several sub-areas of complexity theory, st... | CommonCrawl |
\begin{definition}[Definition:Continuous Mapping (Topology)/Set]
Let $T_1 = \left({S_1, \tau_1}\right)$ and $T_2 = \left({S_2, \tau_2}\right)$ be topological spaces.
Let $f: S_1 \to S_2$ be a mapping from $S_1$ to $S_2$.
Let $S$ be a subset of $S_1$.
The mapping $f$ is '''continuous on $S$''' {{iff}} $f$ is continuous ... | ProofWiki |
Search IIETA Content -Any-ArticleBasic pageBlog entryJournalEventFeature
Home Journals EJEE Fractional Order Direct Torque Control of Permanent Magnet Synchronous Machine
EJEE
Submisssion
Achive
Citation List
CiteScore 2018: 0.18 ℹCiteScore:
CiteScore is the number of citations received by a journal in one year to docu... | CommonCrawl |
Johann Jakob Rebstein
Johann Jakob Rebstein (1840–1907) was a Swiss mathematician and surveyor.
Johann Jakob Rebstein
Johann Jakob Rebstein, c. 1900
Born(1840-05-04)4 May 1840
Töss, Switzerland
Died14 March 1907(1907-03-14) (aged 66)
Zürich, Switzerland
NationalitySwiss
Occupationmathematician
Early life
Rebstein w... | Wikipedia |
News and Events/
Applied Maths Research Seminars/
2015-16 Archive/
2015-16 Archive
Applied Maths Research Seminars
2016 Spring Seminars and Abstracts 2016 Spring Seminars and Abstracts
Why Are Owls So Quiet And What Have They Got To Do With Wind Turbines
Date: Monday 26 January, 2pm, (ARTS 01.02)
Speaker: Lorna Ayton (... | CommonCrawl |
\begin{definition}[Definition:Concentric Circle Topology]
:rightthumb280pxOpen Set of $T$
Let $C_1$ and $C_2$ be concentric circles in the Cartesian plane $\R^2$ such that $C_1$ is inside $C_2$.
Let $S = C_1 \cup C_2$.
Let $\BB$ be the set of sets consisting of:
:all singleton sets of $C_2$
:all open intervals on $C_1$... | ProofWiki |
\begin{document}
\RUNAUTHOR{Vayanos, Jin, and Elissaios}
\RUNTITLE{ROC++: Robust Optimization in C++}
\TITLE{RO\cpluspluslogo: Robust Optimization in \cpluspluslogo}
\ARTICLEAUTHORS{ \AUTHOR{Phebe Vayanos,\textsuperscript{\textdagger} Qing Jin,\textsuperscript{\textdagger} and George Elissaios} \AFF{\textsuperscrip... | arXiv |
Fred Van Oystaeyen
Fred Van Oystaeyen (born 1947), also Freddy van Oystaeyen, is a mathematician and emeritus professor of mathematics at the University of Antwerp.[1] He has pioneered work on noncommutative geometry, in particular noncommutative algebraic geometry.
Biography
In 1972, Fred Van Oystaeyen obtained his... | Wikipedia |
\begin{document}
\title{Trigonometric solutions of the associative Yang-Baxter equation} \author{Travis Schedler}
\begin{abstract} We classify trigonometric solutions to the associative Yang-Baxter equation (AYBE) for $A = \mathrm{Mat}_n$, the associative algebra of $n$-by-$n$ matrices. The AYBE was first presented ... | arXiv |
\begin{definition}[Definition:Transmitted Codeword]
Let $M$ be a message sent over a transmission line $T$.
Let $M$ consist of a number of codewords.
Each of the codewords comprising $M$, as it is before it has been transmitted across $T$, is referred to as a '''transmitted codeword'''.
\end{definition} | ProofWiki |
Packed storage matrix
A packed storage matrix, also known as packed matrix, is a term used in programming for representing an $m\times n$ matrix. It is a more compact way than an m-by-n rectangular array by exploiting a special structure of the matrix.
Typical examples of matrices that can take advantage of packed st... | Wikipedia |
\begin{definition}[Definition:Truth Table]
A '''truth table''' is a tabular array that represents the computation of a truth function, that is, a function of the form:
:$f : \mathbb B^k \to \mathbb B$
where:
:$k$ is a non-negative integer
:$\mathbb B$ is a set of truth values, usually $\set {0, 1}$ or $\set {\T, \F}$.
... | ProofWiki |
\begin{document}
\title[Regularity of Chemotaxis-Navier-Stokes]{Low Modes Regularity criterion for a chemotaxis-Navier-Stokes system}
\author [Mimi Dai]{Mimi Dai} \address{Department of Mathematics, Stat. and Comp. Sci., University of Illinois Chicago, Chicago, IL 60607,USA} \email{mdai@uic.edu}
\author [Han Liu]{... | arXiv |
\begin{document}
\title{A functional analytic approach to perturbations of \\the Lorentz gas} \author{Mark F. Demers \and Hong-Kun Zhang} \address{Mark F. Demers, Department of Mathematics and Computer Science, Fairfield University, Fairfield CT 06824, USA.} \email{mdemers@fairfield.edu} \address{Hong-Kun Zhang, Depar... | arXiv |
Systolic freedom
In differential geometry, systolic freedom refers to the fact that closed Riemannian manifolds may have arbitrarily small volume regardless of their systolic invariants. That is, systolic invariants or products of systolic invariants do not in general provide universal (i.e. curvature-free) lower boun... | Wikipedia |
Effect of perturbation in the numerical solution of fractional differential equations
DCDS-B Home
A comparison of boundary correction methods for Strang splitting
September 2018, 23(7): 2661-2678. doi: 10.3934/dcdsb.2017185
Positive symplectic integrators for predator-prey dynamics
Fasma Diele , and Carmela Marangi
Ist... | CommonCrawl |
What payloads and launch speeds could a sling launcher get using modern materials on the Moon?
The only reference paper I have found on this subject is this paper by Landis, which is a great introduction to sling launchers - but the concept has been around for some time and there must be other treatments. At any rate, ... | CommonCrawl |
Ruofei Du
CMSC838F
CMSC828B
CMSC828V
Course | Ruofei Du
MA066 Advanced Algebra I
by grant | posted in: Math, Undergraduate | 0
Algebra defines, roughly, relationships. See: http://blog.ruofeidu.com/gradient-circulation-laplacian-divergence-jacobian-hessian-trace/
Matrix Form for Linear Regression
For the regression mod... | CommonCrawl |
Galton–Watson process
The Galton–Watson process is a branching stochastic process arising from Francis Galton's statistical investigation of the extinction of family names. The process models family names as patrilineal (passed from father to son), while offspring are randomly either male or female, and names become e... | Wikipedia |
\begin{definition}[Definition:Normal to Curve]
Let $C$ be a curve embedded in the plane.
The '''normal to $C$''' at a point $P$ is defined as the straight line which lies perpendicular to the tangent at $P$ and in the same plane as $P$.
\end{definition} | ProofWiki |
Who invented the push-pull construction?
I learned about the push-pull construction from a video lecture by Freedman in which it is explained starting around 39:08. It is somewhat long and technical to describe in detail, but the main idea is that it is a technique to control an homeomorphism in one linear direction.
T... | CommonCrawl |
Penrose Tiling
Get Penrose Tiling essential facts below. View Videos or join the Penrose Tiling discussion. Add Penrose Tiling to your PopFlock.com topic list for future reference or share this resource on social media.
Non-periodic tiling of the plane
A Penrose tiling with rhombi exhibiting fivefold symmetry
A Penrose... | CommonCrawl |
author: niplav, created: 2021-01-21, modified: 2021-03-31, language: english, status: in progress, importance: 2, confidence: likely
In which I solve exercsise from "Artificial Intelligence: A Modern Approach", written by Stuart Russell and Peter Norvig. I use the 3rd edition from 2010, because the exercises for the 4t... | CommonCrawl |
Back-of-the-envelope calculation
A back-of-the-envelope calculation is a rough calculation, typically jotted down on any available scrap of paper such as an envelope. It is more than a guess but less than an accurate calculation or mathematical proof. The defining characteristic of back-of-the-envelope calculations is... | Wikipedia |
Performance of genomic prediction within and across generations in maritime pine
Jérôme Bartholomé ORCID: orcid.org/0000-0002-0855-38281,
Joost Van Heerwaarden2,
Fikret Isik3,
Christophe Boury1,
Marjorie Vidal1,4,
Christophe Plomion1 &
Laurent Bouffier1
Genomic selection (GS) is a promising approach for decreasing bree... | CommonCrawl |
$\zeta_1, \zeta_2,$ and $\zeta_3$ are complex numbers such that
\[\zeta_1+\zeta_2+\zeta_3=1\]\[\zeta_1^2+\zeta_2^2+\zeta_3^2=3\]\[\zeta_1^3+\zeta_2^3+\zeta_3^3=7\]
Compute $\zeta_1^{7} + \zeta_2^{7} + \zeta_3^{7}$.
We let $e_1 = \zeta_1 + \zeta_2 + \zeta_3,\ e_2 = \zeta_1\zeta_2 + \zeta_2\zeta_3 + \zeta_3\zeta_1,\ e_... | Math Dataset |
Control of chaos
In lab experiments that study chaos theory, approaches designed to control chaos are based on certain observed system behaviors. Any chaotic attractor contains an infinite number of unstable, periodic orbits. Chaotic dynamics, then, consists of a motion where the system state moves in the neighborhood... | Wikipedia |
\begin{document}
\title{\vspace*{-2cm}Stability of a point charge for the repulsive Vlasov-Poisson system}
\author{Benoit Pausader} \address{Brown University, Providence, RI, USA} \email{benoit\_pausader@brown.edu}
\author{Klaus Widmayer} \address{University of Zurich, Switzerland} \email{klaus.widmayer@math.uzh.ch}... | arXiv |
\begin{document}
\setlength{\baselineskip}{21pt}
\title{Discontinuous Homomorphisms of $C(X)$ with $2^{\aleph_0}>\aleph_2$} \author{Bob A. Dumas\\ Department of Philosophy\\ University of Washington\\ Seattle, Washington 98195} \date{November 11, 2016}
\maketitle \begin{abstract} Assume that $M$ is a c.t.m. of $ZFC+... | arXiv |
\begin{definition}[Definition:Geometric Progression]
The term '''geometric progression''' is used to mean one of the following:
\end{definition} | ProofWiki |
Wedderburn's little theorem
In mathematics, Wedderburn's little theorem states that every finite division ring is a field. In other words, for finite rings, there is no distinction between domains, division rings and fields.
The Artin–Zorn theorem generalizes the theorem to alternative rings: every finite alternative... | Wikipedia |
Why are JPL using this expression to emulate Schwarzschild orbits?
From the documentation "Formulation for Observed and Computed Values of Deep Space Network Data Types for Navigation " expression 4-61 on page 4-42 it can be seen that JPL uses the following expression to account for the effects of relativity under Schw... | CommonCrawl |
\begin{document}
\begin{abstract} The paper explores the birational geometry of terminal quartic 3-folds. In doing this I develop a new approach to study maximal singularities with positive dimensional centers. This allows to determine the pliability of a $\mathbb{Q}$-factorial quartic with ordinary double points, an... | arXiv |
Short-term stratospheric ozone fluctuations observed by GROMOS microwave radiometer at Bern
Lorena Moreira ORCID: orcid.org/0000-0002-4791-85001,
Klemens Hocke1,2 &
Niklaus Kämpfer1,2
Earth, Planets and Space volume 70, Article number: 8 (2018) Cite this article
The ground-based millimeter wave ozone spectrometer (GROM... | CommonCrawl |
pdgLive Home > New Heavy Bosons (${{\mathit W}^{\,'}}$, ${{\mathit Z}^{\,'}}$, leptoquarks, etc.), Searches for
GAUGE AND HIGGS BOSONS
New Heavy Bosons (${{\boldsymbol W}^{\,'}}$, ${{\boldsymbol Z}^{\,'}}$, leptoquarks, etc.), Searches for
We list here various limits on charged and neutral heavy vector bosons (other th... | CommonCrawl |
Journals SciPost Physics Vol. 1 issue 1
SciPost Physics
SciPost Physics Vol. 1 issue 1 (September - October 2016)
Vol. 1 issue 2 | Next issue
Quantum quenches to the attractive one-dimensional Bose gas: exact results
Lorenzo Piroli, Pasquale Calabrese, Fabian H. L. Essler
SciPost Phys. 1, 001 (2016) · published 14 Sept... | CommonCrawl |
cs.LG
eess
eess.SP
Computer Science > Machine Learning
Title: End-to-End Optimized Arrhythmia Detection Pipeline using Machine Learning for Ultra-Edge Devices
Authors: Sideshwar J B (1), Sachin Krishan T (1), Vishal Nagarajan (1), Shanthakumar S (2), Vineeth Vijayaraghavan (2) ((1) SSN College of Engineering, Chennai, ... | CommonCrawl |
Keldysh Institute of Applied Mathematics
The Keldysh Institute of Applied Mathematics (Russian: Институт прикладной математики им. М.В.Келдыша) is a research institute specializing in computational mathematics. It was established to solve computational tasks related to government programs of nuclear and fusion energy,... | Wikipedia |
Why does basicity of group 15 hydrides decrease down the group?
In my textbook it is written that the order of basic strength of pnictogen hydrides is
$$\ce{NH3 > PH3 > AsH3 > SbH3 > BiH3}$$
I tried but could not find any explanation as to why this happens. What is the explanation?
inorganic-chemistry periodic-trends p... | CommonCrawl |
Homotopy invariants methods in the global dynamics of strongly damped wave equation
Sharp criteria of Liouville type for some nonlinear systems
June 2016, 36(6): 3251-3276. doi: 10.3934/dcds.2016.36.3251
Asymptotic analysis of charge conserving Poisson-Boltzmann equations with variable dielectric coefficients
Chiun-Cha... | CommonCrawl |
\begin{document}
\title{Approximation Algorithms for Correlated Knapsacks \\ and
Non-Martingale Bandits} \author{ Anupam Gupta\thanks{Deparment of Computer Science, Carnegie Mellon University, Pittsburgh
PA 15213.} \and Ravishankar Krishnaswamy$^*$ \and Marco Molinaro\thanks{Tepper School of Business, Carnegie M... | arXiv |
Generalized Stokes system in Orlicz spaces
A direct proof of the Tonelli's partial regularity result
June 2012, 32(6): 2101-2123. doi: 10.3934/dcds.2012.32.2101
Quasi-periodic solutions for derivative nonlinear Schrödinger equation
Meina Gao 1, and Jianjun Liu 2,
School of Science, Shanghai Second Polytechnic Universit... | CommonCrawl |
Nowhere continuous function
In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If $f$ is a function from real numbers to real numbers, then $f$ is nowhere continuous if for each point $x$ there is some $\vare... | Wikipedia |
\begin{document}
\title{Efficient Representation and Approximation of Model Predictive Control Laws via Deep Learning}
\author{Benjamin~Karg,
Sergio~Lucia,~\IEEEmembership{Member,~IEEE,} \thanks{B. Karg and S. Lucia are with the Chair of Internet of Things for Smart Buildings, TU Berlin, and Einstein Center D... | arXiv |
Smallest 17 Primes in Arithmetic Progression
1 Theorem
2 Proof
3 Historical Note
The smallest $17$ primes in arithmetic progression are:
$3\,430\,751\,869 + 87\,297\,210 n$
for $n = 0, 1, \ldots, 16$.
First we note that:
$3\,430\,751\,869 - 87\,297\,210 = 3\,343,\454\,659 = 17\,203 \times 194\,353$
and so this arithmet... | CommonCrawl |
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