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...bras]] and have many applications in other areas of algebra and integrable systems. ==Classification== ...

This [[mathematics]]-related list provides Mubarakzyanov's '''classification of low-dimensional real Lie algebras''', published in Russian in 1963.<ref> An English version and review of this classification was published by Popovych et al.<ref>{{harvnb|Popovych|2003}}</ref> in 2003 ...

...>a</math>, <math>b</math> and <math>c</math> listed below in the [[Rocchio Classification#Algorithm|Algorithm section]].<ref name=ir-manning /> The [[Formula (mathematical logic)|formula]] and variable definitions for Rocchio relevance feedback ar ...

{{Short description|Concept in the mathematical theory of decisions}} ...edings of the 5th International Symposium on Methodologies for Intelligent Systems|publisher=North-Holland|location=Knoxville, Tennessee, USA|pages=17–25}}</r ...

...on analysis|regression]], [[prediction]], and [[Statistical classification|classification]]. GRNN can also be a good solution for [[online system|online]] [[dynamica ==Mathematical representation== ...

...] (HRQoL). HUI questionnaires are designed to map onto two classification systems, HUI-2 and HUI-3, capable of measuring 24,000 and 972,000 unique health sta ...Utilities Inc. The purpose of developing HUI was to create a standardized classification system using preference-based scoring.<ref name=":1">{{Cite journal|last1=H ...

...raph]] (when the directions of the arrows are ignored) is one of the [[ADE classification|ADE]] [[Dynkin diagram]]s: <math>A_n</math>, <math>D_n</math>, <math>E_6</m ...10.1070/RM1973v028n02ABEH001526 | mr=0393065 | year=1973 | journal=Russian Mathematical Surveys | issn=0042-1316 | volume=28 | issue=2 | pages=17–32| bibcode=1973R ...

==Classification of simple Lie algebras== In characteristic ''p''>0, the classification of [[simple algebraic group]]s is the same as in characteristic zero. Their ...

O'Brien's early work concerned classification, up to isomorphism, of groups of order 256.<ref>{{citation ...y computer software to complete the classification, and to verify that the classification can correct errors in earlier counting. This led to classifications of man ...

==Mathematical contributions== ...ical systems I", ''MathSciNet'', {{MR|3455236}}.</ref> contribution to the classification of [[dynamical system]]s by constructing partially hyperbolic diffeomorphis ...

...most important examples are '''Lie triple systems''' and '''Jordan triple systems'''. They were introduced by [[Nathan Jacobson]] in 1949 to study subspaces ==Lie triple systems== ...

'''Periodic systems of molecules''' are charts of molecules similar to the [[periodic table]] o ...archiving data, (2) forecasting data for molecular properties based on the classification scheme, and (3) a sort of unity with the periodic chart and the periodic sy ...

'''Parametric programming''' is a type of [[mathematical optimization]], where the [[optimization problem]] is solved as a function == Classification == ...

...cal discipline known as [[complex dynamics]], the '''Herman ring''' is a [[Classification of Fatou components|Fatou component]]<ref name=dyn>[[John W. Milnor|John Mi ...s an example of rational function that possesses a Herman ring, and some [[Classification of Fatou components|periodic parabolic Fatou components]] at the same time. ...

Supernatural numbers also arise in the classification of [[uniformly hyperfinite algebra]]s. ...=Contemporary Mathematics |zbl=0674.12009 |volume=95 |publisher=[[American Mathematical Society]] |location=Providence, RI |isbn=0-8218-5101-2 |pages=23–26}} ...

...torially by [[Ola Bratteli]]. Later, [[George A. Elliott]] gave a complete classification of AF algebras using the ''K''₀ functor whose range consists of ...iqueness'': the lift must be unique up to approximate unitary equivalence. Classification then follows from what is known as ''the intertwining argument''. For unita ...

...-speakers?combine=eskin ICM Plenary and Invited Speakers], [[International Mathematical Union]]. Accessed 2019-09-07.</ref> ...ics Announced|website=breakthroughprize.org}}</ref> in mathematics for his classification of <math>P</math>-invariant and stationary measures for the moduli of trans ...

...n are evaluated and their applications are approved or rejected, technical systems are prioritized for inspection on the basis of their failure risk, clinicia In a multicriteria classification problem (MCP) a set ...

...d systems to be modeled as one or more coupled resonators. In optics, such systems include laser cavities, [[photonic crystal]] slabs, [[metamaterials]], and ...ctron Devices'', vol. PGED-2, pp. 37–42, 1955.</ref> This put in place the mathematical foundations for the modern formulation expressed by [[H. A. Haus]] ''et al. ...

[[Image:binary-classification-labeled.svg|thumb|220px|right|From the [[confusion matrix]] you can derive '''Evaluation of a [[binary classification|binary classifier]]''' typically assigns a numerical value, or values, to a ...