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109 relations: Algebraic function field, Algebraic number field, Antiderivative, Applet, Arbitrary-precision arithmetic, Asymptotic expansion, Automatically Tuned Linear Algebra Software, C (programming language), C Sharp (programming language), C++, Calculus, Combinatorics, Commercial software, Comparison of numerical analysis software, Comparison of programming languages, Comparison of statistical packages, Complex number, Computer algebra, Computer algebra system, Computer-aided design, Control system, Delay differential equation, Differential-algebraic system of equations, Diophantine equation, Directed acyclic graph, Discrete mathematics, Elementary function, English language, Factorization, Finite field, Flag of Canada, Formula editor, Fortran, Functional programming, GNU Multiple Precision Arithmetic Library, Graph (discrete mathematics), Graph of a function, Gröbner basis, Greatest common divisor, Hypertext Transfer Protocol, Imperative programming, Indefinite sum, Integral equation, Integral transform, Japanese language, Java (programming language), Java (software platform), JavaScript, JavaServer Pages, Julia (programming language), ..., Kernel (operating system), Laplace transform, Linux, List of computer algebra systems, List of computer simulation software, List of information graphics software, List of numerical analysis software, Macintosh, MacOS, Macsyma, MapleSim, Mathcad, Mathematical notation, Mathematical optimization, Mathematical software, MathML, Mathsoft, MATLAB, Microsoft Excel, Microsoft Windows, MorphOS, MuPAD, NAG Numerical Library, Notebook interface, Number theory, Numerical analysis, Object-oriented programming, Ordinary differential equation, Parallel computing, Partial differential equation, Pascal (programming language), Perl, Polynomial, Probability distribution, Procedural programming, Programming language, Proprietary software, Python (programming language), R (programming language), Recurrence relation, Regular expression, SageMath, Scientific WorkPlace, Scope (computer science), Signal processing, Sparse matrix, Special functions, SQL, Statistical hypothesis testing, Statistics, System of equations, Text mining, University of Waterloo, University of Western Ontario, User interface, Visual Basic, Watcom, Waterloo Maple, .NET Framework. Expand index (59 more) »
Algebraic function field
In mathematics, an (algebraic) function field of n variables over the field k is a finitely generated field extension K/k which has transcendence degree n over k. Equivalently, an algebraic function field of n variables over k may be defined as a finite field extension of the field K.
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Algebraic number field
In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.
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Antiderivative
In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function.
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Applet
In computing, an applet is any small application that performs one specific task that runs within the scope of a dedicated widget engine or a larger program, often as a plug-in.
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Arbitrary-precision arithmetic
In computer science, arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations are performed on numbers whose digits of precision are limited only by the available memory of the host system.
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Asymptotic expansion
In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point.
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Automatically Tuned Linear Algebra Software
Automatically Tuned Linear Algebra Software (ATLAS) is a software library for linear algebra.
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C (programming language)
C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.
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C Sharp (programming language)
C# (/si: ʃɑːrp/) is a multi-paradigm programming language encompassing strong typing, imperative, declarative, functional, generic, object-oriented (class-based), and component-oriented programming disciplines.
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C++
C++ ("see plus plus") is a general-purpose programming language.
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Calculus
Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
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Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.
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Commercial software
Commercial software, or seldom payware, is computer software that is produced for sale or that serves commercial purposes.
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Comparison of numerical analysis software
The following tables provide a comparison of numerical analysis software.
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Comparison of programming languages
Programming languages are used for controlling the behavior of a machine (often a computer).
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Comparison of statistical packages
The following tables compare general and technical information for a number of statistical analysis packages.
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Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
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Computer algebra
In computational mathematics, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects.
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Computer algebra system
A computer algebra system (CAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists.
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Computer-aided design
Computer-aided design (CAD) is the use of computer systems to aid in the creation, modification, analysis, or optimization of a design.
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Control system
A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops.
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Delay differential equation
In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times.
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Differential-algebraic system of equations
In mathematics, a differential-algebraic system of equations (DAEs) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a system.
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Diophantine equation
In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values).
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Directed acyclic graph
In mathematics and computer science, a directed acyclic graph (DAG), is a finite directed graph with no directed cycles.
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Discrete mathematics
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.
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Elementary function
In mathematics, an elementary function is a function of one variable which is the composition of a finite number of arithmetic operations, exponentials, logarithms, constants, and solutions of algebraic equations (a generalization of ''n''th roots).
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English language
English is a West Germanic language that was first spoken in early medieval England and is now a global lingua franca.
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Factorization
In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
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Finite field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.
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Flag of Canada
The flag of Canada, often referred to as the Canadian flag, or unofficially as the Maple Leaf and l'Unifolié (French for "the one-leafed"), is a national flag consisting of a red field with a white square at its centre in the ratio of 1:2:1, in the middle of which is featured a stylized, red, 11-pointed maple leaf charged in the centre.
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Formula editor
A formula editor is a name for a computer program that is used to typeset mathematical works or formulae.
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Fortran
Fortran (formerly FORTRAN, derived from Formula Translation) is a general-purpose, compiled imperative programming language that is especially suited to numeric computation and scientific computing.
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Functional programming
In computer science, functional programming is a programming paradigm—a style of building the structure and elements of computer programs—that treats computation as the evaluation of mathematical functions and avoids changing-state and mutable data.
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GNU Multiple Precision Arithmetic Library
GNU Multiple Precision Arithmetic Library (GMP) is a free library for arbitrary-precision arithmetic, operating on signed integers, rational numbers, and floating point numbers.
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Graph (discrete mathematics)
In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
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Graph of a function
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
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Gröbner basis
In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring over a field.
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Greatest common divisor
In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
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Hypertext Transfer Protocol
The Hypertext Transfer Protocol (HTTP) is an application protocol for distributed, collaborative, and hypermedia information systems.
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Imperative programming
In computer science, imperative programming is a programming paradigm that uses statements that change a program's state.
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Indefinite sum
In mathematics the indefinite sum operator (also known as the antidifference operator), denoted by \sum _x or \Delta^, is the linear operator, inverse of the forward difference operator \Delta.
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Integral equation
In mathematics, an integral equation is an equation in which an unknown function appears under an integral sign.
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Integral transform
In mathematics, an integral transform maps an equation from its original domain into another domain where it might be manipulated and solved much more easily than in the original domain.
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Japanese language
is an East Asian language spoken by about 128 million people, primarily in Japan, where it is the national language.
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Java (programming language)
Java is a general-purpose computer-programming language that is concurrent, class-based, object-oriented, and specifically designed to have as few implementation dependencies as possible.
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Java (software platform)
Java is a set of computer software and specifications developed by James Gosling at Sun Microsystems, which was later acquired by the Oracle Corporation, that provides a system for developing application software and deploying it in a cross-platform computing environment.
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JavaScript
JavaScript, often abbreviated as JS, is a high-level, interpreted programming language.
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JavaServer Pages
JavaServer Pages (JSP) is a technology that helps software developers create dynamically generated web pages based on HTML, XML, or other document types.
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Julia (programming language)
Julia is a high-level dynamic programming language designed to address the needs of high-performance numerical analysis and computational science, without the typical need of separate compilation to be fast, while also being effective for general-purpose programming, web use or as a specification language.
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Kernel (operating system)
The kernel is a computer program that is the core of a computer's operating system, with complete control over everything in the system.
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Laplace transform
In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.
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Linux
Linux is a family of free and open-source software operating systems built around the Linux kernel.
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List of computer algebra systems
The following tables provide a comparison of computer algebra systems (CAS).
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List of computer simulation software
The following is a list of notable computer simulation software.
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List of information graphics software
This is a list of software to create any kind of information graphics.
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List of numerical analysis software
Listed here are end-user computer applications intended for use with numerical or data analysis.
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Macintosh
The Macintosh (pronounced as; branded as Mac since 1998) is a family of personal computers designed, manufactured, and sold by Apple Inc. since January 1984.
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MacOS
macOS (previously and later) is a series of graphical operating systems developed and marketed by Apple Inc. since 2001.
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Macsyma
Macsyma (Project MAC’s SYmbolic MAnipulator) is one of the oldest general purpose computer algebra systems which is still widely used.
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MapleSim
MapleSim is a Modelica-based, multi-domain modeling and simulation tool developed by Maplesoft.
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Mathcad
Mathcad is computer software primarily intended for the verification, validation, documentation and re-use of engineering calculations.
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Mathematical notation
Mathematical notation is a system of symbolic representations of mathematical objects and ideas.
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Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.
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Mathematical software
Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.
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MathML
Mathematical Markup Language (MathML) is a mathematical markup language, an application of XML for describing mathematical notations and capturing both its structure and content.
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Mathsoft
MathSoft was founded in 1984 by Allen Razdow and David Blohm to provide mathematical programs to students, teachers, and professionals.
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MATLAB
MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.
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Microsoft Excel
Microsoft Excel is a spreadsheet developed by Microsoft for Windows, macOS, Android and iOS.
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Microsoft Windows
Microsoft Windows is a group of several graphical operating system families, all of which are developed, marketed, and sold by Microsoft.
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MorphOS
MorphOS is an AmigaOS-like computer operating system.
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MuPAD
MuPAD is a computer algebra system (CAS).
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NAG Numerical Library
The NAG Numerical Library is a software product developed and sold by The Numerical Algorithms Group.
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Notebook interface
A notebook interface (also called a computational notebook or data science notebook) is a virtual notebook environment used for literate programming.
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Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
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Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
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Object-oriented programming
Object-oriented programming (OOP) is a programming paradigm based on the concept of "objects", which may contain data, in the form of fields, often known as attributes; and code, in the form of procedures, often known as methods. A feature of objects is that an object's procedures can access and often modify the data fields of the object with which they are associated (objects have a notion of "this" or "self").
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Ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.
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Parallel computing
Parallel computing is a type of computation in which many calculations or the execution of processes are carried out concurrently.
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Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
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Pascal (programming language)
Pascal is an imperative and procedural programming language, which Niklaus Wirth designed in 1968–69 and published in 1970, as a small, efficient language intended to encourage good programming practices using structured programming and data structuring. It is named in honor of the French mathematician, philosopher and physicist Blaise Pascal. Pascal was developed on the pattern of the ALGOL 60 language. Wirth had already developed several improvements to this language as part of the ALGOL X proposals, but these were not accepted and Pascal was developed separately and released in 1970. A derivative known as Object Pascal designed for object-oriented programming was developed in 1985; this was used by Apple Computer and Borland in the late 1980s and later developed into Delphi on the Microsoft Windows platform. Extensions to the Pascal concepts led to the Pascal-like languages Modula-2 and Oberon.
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Perl
Perl is a family of two high-level, general-purpose, interpreted, dynamic programming languages, Perl 5 and Perl 6.
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Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
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Probability distribution
In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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Procedural programming
Procedural programming is a programming paradigm, derived from structured programming, based upon the concept of the procedure call.
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Programming language
A programming language is a formal language that specifies a set of instructions that can be used to produce various kinds of output.
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Proprietary software
Proprietary software is non-free computer software for which the software's publisher or another person retains intellectual property rights—usually copyright of the source code, but sometimes patent rights.
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Python (programming language)
Python is an interpreted high-level programming language for general-purpose programming.
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R (programming language)
R is a programming language and free software environment for statistical computing and graphics that is supported by the R Foundation for Statistical Computing.
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Recurrence relation
In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.
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Regular expression
A regular expression, regex or regexp (sometimes called a rational expression) is, in theoretical computer science and formal language theory, a sequence of characters that define a search pattern.
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SageMath
SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation") is a computer algebra system with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, numerical analysis, number theory, calculus and statistics.
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Scientific WorkPlace
Scientific WorkPlace (often abbreviated to SWP) is a software package for scientific word processing on Microsoft Windows and OS X. Although advertised as a WYSIWYG LaTeX-based word processor, it is actually a graphical user interface for editing LaTeX source files with the same ease-of-use of a word processor, while maintaining a screen view that resembles but is not identical to the eventual output that LaTeX produces.
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Scope (computer science)
In computer programming, the scope of a name binding – an association of a name to an entity, such as a variable – is the region of a computer program where the binding is valid: where the name can be used to refer to the entity.
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Signal processing
Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.
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Sparse matrix
In numerical analysis and computer science, a sparse matrix or sparse array is a matrix in which most of the elements are zero.
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Special functions
Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications.
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SQL
SQL (S-Q-L, "sequel"; Structured Query Language) is a domain-specific language used in programming and designed for managing data held in a relational database management system (RDBMS), or for stream processing in a relational data stream management system (RDSMS).
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Statistical hypothesis testing
A statistical hypothesis, sometimes called confirmatory data analysis, is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables.
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Statistics
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.
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System of equations
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
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Text mining
Text mining, also referred to as text data mining, roughly equivalent to text analytics, is the process of deriving high-quality information from text.
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University of Waterloo
The University of Waterloo (commonly referred to as Waterloo, UW, or UWaterloo) is a public research university with a main campus in Waterloo, Ontario.
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University of Western Ontario
The University of Western Ontario (UWO), corporately branded as Western University as of 2012 and commonly shortened to Western, is a public research university in London, Ontario, Canada.
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User interface
The user interface (UI), in the industrial design field of human–computer interaction, is the space where interactions between humans and machines occur.
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Visual Basic
Visual Basic is a third-generation event-driven programming language and integrated development environment (IDE) from Microsoft for its Component Object Model (COM) programming model first released in 1991 and declared legacy during 2008.
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Watcom
Watcom International Corporation was founded in 1981 by three former employees of the Computer Systems Group (Fred Crigger, Ian McPhee, and Jack Schueler) at the University of Waterloo, in Waterloo, Ontario, Canada.
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Waterloo Maple
Waterloo Maple Inc. is a Canadian software company, headquartered in Waterloo, Ontario.
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.NET Framework
.NET Framework (pronounced dot net) is a software framework developed by Microsoft that runs primarily on Microsoft Windows.
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References
[1] https://en.wikipedia.org/wiki/Maple_(software)
