Searches , social queries for GAP COMPUTER-ALGEBRA-SYSTEM
Search references for GAP COMPUTER-ALGEBRA-SYSTEM. Phrases containing GAP COMPUTER-ALGEBRA-SYSTEM
See searches and references containing GAP COMPUTER-ALGEBRA-SYSTEM!
Search references for GAP COMPUTER-ALGEBRA-SYSTEM. Phrases containing GAP COMPUTER-ALGEBRA-SYSTEM
See searches and references containing GAP COMPUTER-ALGEBRA-SYSTEM!GAP COMPUTER-ALGEBRA-SYSTEM
Computer algebra system
GAP (groups, algorithms and programming) is an open-source computer algebra system for computational discrete algebra with particular emphasis on computational
GAP_(computer_algebra_system)
Mathematical software
A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in
Computer_algebra_system
comparison of computer algebra systems (CAS). A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects,
List of computer algebra systems
List_of_computer_algebra_systems
Computer algebra system
SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation") is a computer algebra system (CAS) with features covering many aspects
SageMath
computer algebra system (CAS) is a software product designed for manipulation of mathematical formulae. The principal objective of a computer algebra
List of open-source software for mathematics
List_of_open-source_software_for_mathematics
Topics referred to by the same term
an instance of gapping Parasitic gap, a kind of correlated ellipsis Air gap (networking), a security measure GAP (computer algebra system) (Groups, Algorithms
Gap
Computer algebra system
is a computer algebra system for polynomial computations with special emphasis on the needs of commutative and non-commutative algebra, algebraic geometry
Singular_(software)
Sporadic simple group
8,9,10,11), (3,7,11,8)(4,10,5,6) of permutations used by the GAP computer algebra system. M11 has a sharply 4-transitive permutation representation on
Mathieu_group_M11
Islamic mathematician (c. 780 – c. 850)
Book of the Map of the World". "The history of cartography". GAP computer algebra system. Archived from the original on 24 May 2008. Retrieved 30 May
Al-Khwarizmi
Variant of Rubik's Cube
Schönert "Analyzing Rubik's Cube with GAP": the permutation group of Rubik's Cube is examined with GAP computer algebra system Wikimedia Commons has media related
Pyraminx
Computer algebra system
uses CoCoALib. Normaliz has interfaces to several general computer algebra systems: CoCoA, GAP, Macaulay2 and Singular. It can be used interactively via
Normaliz
Software used in mathematical applications
mathematical suites are computer algebra systems that use symbolic mathematics. They are designed to solve classical algebra equations and problems in
Mathematical_software
Group whose operation is a composition of braids
braid is the algebraic analogue of "pulling the strands" as illustrated in our second set of images above.) The free GAP computer algebra system can carry
Braid_group
Early artificial intelligence program
solving algebra story problems were realized with 1960s hardware and software as well: for example, the Philips, Baseball and Synthex systems. STUDENT
STUDENT
known how many nonisomorphic groups there are is 2048 = 211. The GAP computer algebra system contains a package called the "Small Groups library," which provides
List_of_small_groups
Engineering discipline specializing in the design of computer hardware
computer engineering, electrical engineering or computer science. Typically, one must learn an array of mathematics such as calculus, linear algebra,
Computer_engineering
In computer science, algebraic semantics is a formal approach to programming language theory that uses algebraic methods for defining, specifying, and
Algebraic semantics (computer science)
Algebraic_semantics_(computer_science)
Uniform coding for primitive elements of all finite fields
practice. Databases of Conway polynomials are available in the computer algebra systems GAP, Macaulay2, Magma, SageMath, at the web site of Frank Lübeck
Conway polynomial (finite fields)
Conway_polynomial_(finite_fields)
Approach to the study of finite semigroups and automata
In mathematics and computer science, the Krohn–Rhodes theory (or algebraic automata theory) is an approach to the study of finite semigroups and automata
Krohn–Rhodes_theory
Software projects developed at universities
Macaulay2 – computer algebra system for algebraic geometry and commutative algebra (Illinois and Cornell) Macsyma – computer algebra system (MIT) Magma
List of software developed at universities
List_of_software_developed_at_universities
American mathematician
Algorithms developed by him have found use, for example, in the GAP computer algebra system. Kantor has written over 170 papers, and has advised 7 PhD students
William_Kantor
Theorems that help decompose a finite group based on prime factors of its order
algorithm described in Cannon. These versions are still used in the GAP computer algebra system. In permutation groups, it has been proven, in Kantor and Kantor
Sylow_theorems
Online tutoring and assessment program
"Smart ALEKS ... or not? Teaching Basic Algebra using an online interactive learning system", Mathematics and Computer Education, 37 (3): 329–336, archived
ALEKS
Mathematical construct in computer algebra
mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular
Gröbner_basis
Difference between two descriptions of an object by different linguistic representations
the semantic gap can be defined as "the difference in meaning between constructs formed within different representation systems". In computer science, the
Semantic_gap
includes a programming language and computer algebra abilities. PARI/GP is a widely used computer algebra system designed for fast computations in number
List of numerical-analysis software
List_of_numerical-analysis_software
notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures List of data structures
List_of_theorems
British-canadian mathematician
and Sarah Rees Soicher has been a member of the council of the computer algebra system GAP since June 1997, and was its chair from March 2009 until September
Leonard_Soicher
German mathematician (born 1968)
[citation needed] Eick is a coauthor of the computer algebra system GAP and has been a member of the GAP council since 2001 (chair since 2021). Eick,
Bettina_Eick
Study of mathematical groups by means of computers
of a group Two important computer algebra systems (CAS) used for group theory are GAP and Magma. Historically, other systems such as CAS (for character
Computational_group_theory
Computer architecture where code and data share a common bus
architecture—also known as the von Neumann model or Princeton architecture—is a computer architecture based on the First Draft of a Report on the EDVAC, written
Von_Neumann_architecture
On distances between points on a circle
three-gap theorem include the study of plant growth and musical tuning systems, and the theory of light reflection within a mirrored square. The three-gap theorem
Three-gap_theorem
California system voted to end an admissions policy that accepts Data Science in lieu of Algebra II. Students interested in taking AP Computer Science A
Mathematics education in the United States
Mathematics_education_in_the_United_States
Mathematics independent of applications
advances in the beginning of 20th century was the formalization of abstract algebra and topology; these two fields were deeply influenced by the pure mathematics
Pure_mathematics
List of unsolved computational problems
This article is a list of notable unsolved problems in computer science. A problem in computer science is considered unsolved when no solution is known
List of unsolved problems in computer science
List_of_unsolved_problems_in_computer_science
Mathematical problem
In mathematical logic, Tarski's high school algebra problem is a question posed by Alfred Tarski. It asks whether there are identities involving addition
Tarski's high school algebra problem
Tarski's_high_school_algebra_problem
Study of the semantics, or interpretations, of formal and natural languages
Kripke and others for modal logic and related systems), algebraic semantics (connecting logic to abstract algebra), and game semantics (interpreting logical
Semantics_(logic)
Branch of mathematics
of Arabic eclecticism was the tendency to close the gap between numerical and geometric algebra. The decisive step in this direction came much later
Geometry
Algorithm for solving various problems in computational group theory
| G | + t n ) {\displaystyle O(n\log |G|+tn)} . Modern computer algebra systems, such as GAP and Magma, typically use an optimized Monte Carlo algorithm
Schreier–Sims_algorithm
Mathematical study of the meaning of programming languages
Computer Science Department, Aarhus University. Goguen, Joseph A.; Thatcher, James W.; Wagner, Eric G.; Wright, Jesse B. (1977). "Initial algebra semantics
Semantics (programming languages)
Semantics_(programming_languages)
Eugene Dynkin, developed Dynkin diagram, Doob–Dynkin lemma and Dynkin system in algebra and probability Dmitri Egorov, known for significant contributions
List of Russian mathematicians
List_of_Russian_mathematicians
of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Type of quantum computer
topological quantum computer is a type of quantum computer. It utilizes anyons, a type of quasiparticle that occurs in two-dimensional systems. The anyons' world
Topological_quantum_computer
Seven mathematical problems with a US$1 million prize for each solution
P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the Millennium Meeting held on May 24, 2000
Millennium_Prize_Problems
Killing's classification of simple complex Lie algebras, including his discovery of the exceptional Lie algebras, took 180 pages in 4 papers. 1894 – The ruler-and-compass
List of long mathematical proofs
List_of_long_mathematical_proofs
Mathematic algorithm for basis
no publication of this algorithm by him is known. It is used in computer algebra systems. Let V be a vector space and U, W two finite-dimensional subspaces
Zassenhaus_algorithm
Physical theory with fields invariant under the action of local "gauge" Lie groups
the gauge group of the theory. Associated with any Lie group is the Lie algebra of group generators. For each group generator there necessarily arises
Gauge_theory
Computational problems no algorithm can solve
Keith O. Geddes, Stephen R. Czapor, George Labahn, Algorithms for Computer Algebra, ISBN 0585332479, 2007, p. 81ff Stallworth, Daniel T.; Roush, Fred
List_of_undecidable_problems
Engineering of Computer -Based Software 2003 (ECBS'03) Proceedings Closing the Gap Between Software Modelling and Code, Engineering of Computer -Based Software
Virtual_finite-state_machine
Algebraic study of differential equations
polynomial algebras are used for the study of algebraic varieties, which are solution sets of systems of polynomial equations. Weyl algebras and Lie algebras may
Differential_algebra
Computer hardware technology that uses quantum mechanics
quantum computers can produce outputs that classical computers cannot produce efficiently, and since quantum computation is fundamentally linear algebra, so
Quantum_computing
Open problem in computer science
Arnold L. (1970). "Time-restricted sequence generation". Journal of Computer and System Sciences. 4 (1): 50–73. doi:10.1016/S0022-0000(70)80012-5. Lipton
Hartmanis–Stearns_conjecture
Lisp Futhark Game Maker Language GameMonkey Script General Algebraic Modeling System (GAMS) GAP G-code GDScript (Godot) Geometric Description Language (GDL)
List_of_programming_languages
Computer interface design concept
In computer science, the semantic desktop is a collective term for ideas related to changing a computer's user interface and data handling capabilities
Semantic_desktop
Mathematical approach to quantum physics
cases. The problem of non-perturbative systems has been somewhat alleviated by the advent of modern computers. It has become practical to obtain numerical
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
practical and scientifically well-founded systems engineering method that bridges the gap between the two ends of system development: the human understanding
Abstract_state_machine
Improves Performance and Accuracy on Extreme-Scale Computing Systems. On modern computer architectures, communication between processors takes longer
Communication-avoiding algorithm
Communication-avoiding_algorithm
Series of graphing calculators
the ARM9 variant for its CPU. The TI-Nspire and TI-Nspire CAS (Computer algebra system) calculators have 32 MB of NAND Flash, 32 MB of SDRAM, and 512
TI-Nspire_series
Construct allowing differentiation of tangent vector fields of manifolds
T(FM) of the frame bundle to the space of n × n matrices (which is the Lie algebra gl(n) of the Lie group GL(n) of invertible n × n matrices) satisfying two
Affine_connection
Used to count, measure, and label
various systems now called algebraic structures, which share certain properties of numbers, and may be seen as extending the concept. Some algebraic structures
Number
System to capture, manage, and present geographic data
A geographic information system (GIS) consists of integrated computer hardware and software that store, manage, analyze, edit, output, and visualize geographic
Geographic_information_system
Basic notion of sameness in mathematics
Andrea Honeycutt (6 May 2020). "8.8 Use the Complex Number System". Intermediate Algebra 2e. OpenStax. ISBN 978-1-975076-49-8. Retrieved 4 March 2025
Equality_(mathematics)
Algebraic ring that need not have additive negative elements
Kuich, Werner (2011). "Algebraic systems and pushdown automata". In Kuich, Werner (ed.). Algebraic foundations in computer science. Essays dedicated
Semiring
New York State high school tests
Language Arts exam and 80 in algebra—levels deemed evidence of readiness for college. In 2015, New York began administering computer-based standardized tests
Regents_examinations
Branch of mathematics
La Géométrie (1637), together with Fermat's related work, introduced algebraic methods into the study of curves and established the foundations of analytic
Mathematical_analysis
tuning systems, and the theory of Sturmian words. Noether normalization lemma The Noether normalization lemma is a result of commutative algebra, introduced
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
most powerful computer systems on Earth are used for weather forecasts. By the late 1960s, computer systems could perform symbolic algebraic manipulations
History_of_computing
Subfield within human geography
Geomathematics Geostatistics Geovisualization Global Positioning System Hydrography Map algebra Participant observation Photogrammetry Remote Sensing Statistical
Cultural_geography
New Zealand mathematician
These classifications comprise the tables provided in the computer algebra systems SageMath, GAP, and Magma. For a 20-year span from the mid-1990s, O'Brien
Eamonn O'Brien (mathematician)
Eamonn_O'Brien_(mathematician)
although the gap between YAWL and BPEL in this respect may be reduced by new constructs that are included in BPEL version 2.0. Computer programming portal
YAWL
American program with college-level classes offered to high school students
recommendation The multiple-choice (MCQ) component of the exam is scored by computer, and since 2011, points are no longer deducted for incorrect answers. The
Advanced_Placement
Study of spatial information
created the first geographic information system, which allowed for storing and analysis of spatial data within a computer. These tools revolutionized the discipline
Technical_geography
The philosophy of computer science is concerned with the philosophical questions that arise within the study of computer science. There is still no common
Philosophy of computer science
Philosophy_of_computer_science
Taking measurements using photography
weather data cannot be obtained. It is also used to combine live action with computer-generated imagery in movies post-production; The Matrix is a good example
Photogrammetry
Problem in math and computer science
appear in algebraic structures, computational models, hybrid systems, infinite games, logic and verification. The workshop tries to fill the gap between
Reachability_problem
serious gap in it. A complete proof for this case was published by Aschbacher and Smith in 2004. In 1986, Spencer Bloch published the paper "Algebraic Cycles
List_of_incomplete_proofs
Number divisible only by 1 and itself
difficulty of factoring large numbers into their prime factors. In abstract algebra, objects that behave in a generalized way like prime numbers include prime
Prime_number
paper calculations, leading to areas such as numerical analysis and computer algebra. Some of the most important methods and algorithms of the 20th century
History_of_mathematics
Theory that a society's development is predetermined by its physical environment
regarding causation of environmental variables, and for leaving logical gaps in reasoning. Geographer Andrew Sluyter argued that Diamond was just as ignorant
Environmental_determinism
Integral polynomial
Kazhdan and Lusztig used this to construct a canonical basis in the Hecke algebra of the Coxeter group and its representations. In their first paper Kazhdan
Kazhdan–Lusztig_polynomial
Extension of the Web to facilitate data exchange
Lecture Notes in Computer Science. Vol. 4519. Springer. pp. 624–639. doi:10.1007/978-3-540-72667-8_44. ISBN 978-3-540-72666-1. "Bridging the gap between folksonomies
Semantic_Web
Non-language factors that enhance understanding of communication
sites from High-Context Cultures and Low-Context Cultures". Journal of Computer-Mediated Communication. 11 (1): 274–299. doi:10.1111/j.1083-6101.2006.tb00313
Context
Natural language processing task
conference on computer vision and pattern recognition. 2017. Warren, D. H. D.; Pereira, F. C. N. (1982). "An efficient easily adaptable system for interpreting
Semantic_parsing
Logic for proving computer program correctness
variables define the state of the program. Algebraic semantics (computer science) — in terms of algebras Denotational semantics — by translation of the
Axiomatic_semantics
Branch of logic using category theory to study mathematical structures
and algebraic methods. Handbook of Logic in Computer Science. Vol. 5. Oxford University Press. ISBN 0-19-853781-6. Aluffi, Paolo (2009). Algebra: Chapter
Categorical_logic
Personal computer
Acorn Archimedes is a family of personal computers designed by Acorn Computers of Cambridge, England. The systems in this family use Acorn's own ARM architecture
Acorn_Archimedes
Applied science of creating computerized representations of portions of the Earth's crust
object-oriented programming technologies in C++, Java or C# on one or multiple computer platforms. The graphical user interface generally consists of one or several
Geological_modelling
Physics of the Earth and its vicinity
every lunar day, or every 24 hours and 50 minutes. Therefore, there is a gap of 12 hours and 25 minutes between every high tide and between every low
Geophysics
Mathematics used in Ancient China
a real number system that includes significantly large and negative numbers, more than one numeral system (binary and decimal), algebra, geometry, number
Chinese_mathematics
purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations,
Timeline_of_mathematics
Machine learning method for concept approximation
meaning. For the restricted domain of spatial analysis, a computer-based language understanding system was demonstrated. Latent semantic analysis (LSA), a class
Semantic analysis (machine learning)
Semantic_analysis_(machine_learning)
Field theory involving topological effects in physics
theory, the theory of four-manifolds, and algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich
Topological quantum field theory
Topological_quantum_field_theory
Academic association dedicated to the use of mathematics in industry
Engineering Geometric Design Geosciences Imaging Science Life Sciences Linear Algebra Mathematical Aspects of Materials Science Mathematics of Planet Earth Nonlinear
Society for Industrial and Applied Mathematics
Society_for_Industrial_and_Applied_Mathematics
Branch of applied probability theory
proponents of fuzzy logic, possibility theory, Dempster–Shafer theory, and info-gap decision theory maintain that probability is only one of many alternatives
Decision_theory
Use of computational tools for the study of linguistics
Computational Linguistics (journal) Computational semiotics Computer-assisted reviewing Dialog systems Glottochronology Grammar induction Human speechome project
Computational_linguistics
Criteria for a usable quantum computer
simulate quantum systems, such as in solving the quantum many-body problem. There have been many proposals for how to construct a quantum computer, all of which
DiVincenzo's_criteria
Mountain range in the southeastern United States
southeastern limb. Cumberland Gap National Historical Park Cumberland Plateau "Cumberland Mountain Range". Geographic Names Information System. United States Geological
Cumberland_Mountains
Unsolved problem in computer science
Unsolved problem in computer science If the solution to a problem can be verified in polynomial time, must the problem be solvable in polynomial time?
P_versus_NP_problem
Method of representing a chessboard in software
represents the square at (4,2) in zero-based numbering, i.e. c5 in standard algebraic notation. Adding 16 to a number for a square results in the number for
0x88
Relationship between elements of two sets
linear algebra. A function may be defined as a binary relation that meets additional constraints. Binary relations are also heavily used in computer science
Binary_relation
travel, tourism, insurance
GAP COMPUTER-ALGEBRA-SYSTEM
GAP COMPUTER-ALGEBRA-SYSTEM
GAP COMPUTER-ALGEBRA-SYSTEM
GAP COMPUTER-ALGEBRA-SYSTEM
GAP COMPUTER-ALGEBRA-SYSTEM
GAP COMPUTER-ALGEBRA-SYSTEM
GAP COMPUTER-ALGEBRA-SYSTEM
GAP COMPUTER-ALGEBRA-SYSTEM
GAP COMPUTER-ALGEBRA-SYSTEM
travel, tourism, insurance