User:Physikerwelt
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[edit]ATOMIC AND MOLECULAR PHYSICS
[edit]Atomic properties and interactions with photons
[edit]Category information
- reference category: Atomic properties and interactions with photons
- code: 32.00.00 (PACS)
- wiki categories: [(Category:Atomic physics, 3), (Category:Quantum mechanics, 3), (Category:Chemistry, 3)]
Cluster information:
- cluster id: [5737]
- matching score: 0.261742084319
- purity: 1.0
- matching keywords: [u'molecular', u'optical', u'physics', u'atomic']
Definitions:
- : spin quantum number (3.354)
- : quantum state (2.361)
- : total angular momentum quantum number (1.779)
- : component (1.648)
- : total angular momentum quantum number (1.628)
- : orbital quantum number (1.562)
- : microstates (1.437)
Algebraic geometry
[edit]Foundations
[edit]Category information
- reference category: Foundations
- code: 14Axx (MSC)
- wiki categories: [(Category:Abstract algebra, 3), (Category:Field theory, 2), (Category:Geometry, 2)]
Cluster information:
- cluster id: [5411]
- matching score: 0.459044613144
- purity: 1.0
- matching keywords: [u'geometry', u'algebraic', u'algebra']
Definitions:
- : galois extension (4.848)
- : number field (4.256)
- : field (mathematics) (3.517)
- : plus construction (3.454)
- : exact category (2.701)
- : fields (2.665)
- : galois group (2.647)
- : valuation (2.642)
- : decomposition group (2.530)
- : cyclic group (2.481)
- : steinberg group (2.317)
- : galois extension (2.295)
- : module (1.939)
- : rational numbers (1.939)
- : module (1.882)
- : multiplicities (1.875)
- : functor (1.728)
- : irreducible element (1.726)
- : multiplicities (1.691)
- : finite extension (1.681)
- : prime ideal (1.664)
- : ring homomorphism (1.663)
- : properties (1.489)
Surfaces and higher-dimensional varieties
[edit]Category information
- reference category: Surfaces and higher-dimensional varieties
- code: 14Jxx (MSC)
- wiki categories: [(Category:Surfaces, 6), (Category:Differential geometry of surfaces, 4), (Category:Geometric shapes, 4)]
Cluster information:
- cluster id: [1101, 8567]
- matching score: 0.588221516182
- purity: 1.0
- matching keywords: [u'surfaces', u'varieties', u'geometry', u'enriques', u'algebraic', u'manifolds', u'topology']
Definitions:
- : dimensional torus (4.230)
- : k3 surface (3.473)
- : radius (3.376)
- : lattice (group) (3.257)
- : hyperbolic paraboloid (2.764)
- : circle (2.737)
- : torus (2.597)
- : automorphism (2.278)
- : canonical line bundle (1.875)
- : 0-cell (1.834)
- : 2-torus (1.738)
- : base space (1.701)
- : 1-cells (1.685)
- : bottle (1.465)
Computational aspects in algebraic geometry
[edit]Category information
- reference category: Computational aspects in algebraic geometry
- code: 14Qxx (MSC)
- wiki categories: [(Category:Algebraic curves, 3), (Category:Algebraic geometry, 2), (Category:Geometric shapes, 2)]
Cluster information:
- cluster id: [8798]
- matching score: 0.68798842196
- purity: 1.0
- matching keywords: [u'geometry', u'algebraic', u'varieties', u'curves']
Definitions:
- : algebraic curve (5.224)
- : complex projective plane (1.671)
Algebraic topology
[edit]Fiber spaces and bundles
[edit]Category information
- reference category: Fiber spaces and bundles
- code: 55Rxx (MSC)
- wiki categories: [(Category:Topology, 3), (Category:Differential geometry, 2), (Category:Mathematical analysis, 2)]
Cluster information:
- cluster id: [9434]
- matching score: 0.44889498643
- purity: 1.0
- matching keywords: [u'vector', u'algebraic', u'fiber', u'space', u'bundles', u'homotopy', u'topology']
Definitions:
- : topological space (6.620)
- : vector bundle (6.029)
- : tangent bundle (5.859)
- : bundles (3.438)
- : vector bundle (3.432)
- : vector space (3.357)
- : vector bundle (2.573)
- : ∈ gl (1.848)
- : frame (1.847)
- : dual vector space (1.838)
- : rank (1.823)
- : continuous maps (1.800)
- : principal fiber bundle (1.715)
- : structures (1.662)
- : open neighborhood (1.653)
- : homeomorphism (1.625)
Astronomy and astrophysics
[edit]Computational methods
[edit]Category information
- reference category: Computational methods
- code: 85-08 (MSC)
- wiki categories: [(Category:Stellar astronomy, 3), (Category:Thermodynamics, 2), (Category:Stars, 2)]
Cluster information:
- cluster id: [5300]
- matching score: 0.339870022404
- purity: 1.0
- matching keywords: [u'stellar', u'planetary', u'astronomy']
Definitions:
- : black body (5.297)
- : temperature (3.670)
- : radius (2.749)
- : distance (1.789)
Biology and other natural sciences
[edit]Physiological, cellular and medical topics
[edit]Category information
- reference category: Physiological, cellular and medical topics
- code: 92Cxx (MSC)
- wiki categories: [(Category:Physics, 4), (Category:Electromagnetism, 3), (Category:Force, 2)]
Cluster information:
- cluster id: [1727]
- matching score: 0.233071320342
- purity: 1.0
- matching keywords: [u'cell', u'biochemistry', u'biology', u'molecular', u'biophysics']
Definitions:
- : velocity (8.716)
- : electric field (7.522)
- : magnetic flux (7.368)
- : magnetic field (6.691)
- : electric charge (5.029)
- : direction (4.239)
- : force (3.736)
- : direction (3.493)
- : speed of light (3.226)
- : velocity (2.806)
- : directions (2.762)
- : time (2.595)
- : magnetic field (2.527)
- : position vector (1.847)
- : position (1.845)
- : mass (1.793)
- : electromotive force (1.778)
- : electric field (1.750)
- : identical turns (1.714)
- : proper time (1.712)
- : vector area (1.531)
- : magnetic induction (1.459)
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
[edit]Electronic structure and electrical properties of surfaces, interfaces, thin films, and low-dimensional structures
[edit]Category information
- reference category: Electronic structure and electrical properties of surfaces, interfaces, thin films, and low-dimensional structures
- code: 73.00.00 (PACS)
- wiki categories: [(Category:Electrical circuits, 3), (Category:Electrical engineering, 3), (Category:Electronic engineering, 3)]
Cluster information:
- cluster id: [9388]
- matching score: 0.212394161612
- purity: 1.0
- matching keywords: [u'electronic', u'electrical', u'systems']
Definitions:
- : voltage (3.355)
- : resistance (1.833)
- : resistance (1.664)
- : high precision (1.586)
Superconductivity
[edit]Category information
- reference category: Superconductivity
- code: 74.00.00 (PACS)
- wiki categories: [(Category:Materials science, 3), (Category:Condensed matter physics, 3), (Category:Superconductivity, 3)]
Cluster information:
- cluster id: [4010]
- matching score: 0.248358724836
- purity: 1.0
- matching keywords: [u'phases', u'junction', u'josephson', u'superconductivity', u'condensed', u'effect', u'matter', u'materials']
Definitions:
- : uperconductor (4.900)
- : uperconductor (3.371)
- : josephson phase (2.657)
- : josephson phase (2.644)
- : josephson (2.597)
- : time (1.974)
- : inductance (1.939)
- : supercurrent (1.882)
- : junction (1.719)
Magnetic properties and materials
[edit]Category information
- reference category: Magnetic properties and materials
- code: 75.00.00 (PACS)
- wiki categories: [(Category:Electromagnetism, 6), (Category:Condensed matter physics, 5), (Category:Materials science, 5)]
Cluster information:
- cluster id: [4670, 5925]
- matching score: 0.257194208697
- purity: 1.0
- matching keywords: [u'susceptibility', u'condensed', u'magnetization', u'magnetic', u'matter', u'magnetism', u'materials', u'systems']
Definitions:
- : electric field (10.805)
- : polarization (electrostatics) (7.511)
- : electric displacement (4.694)
- : current density (3.716)
- : susceptibility (3.583)
- : magnetization (3.428)
- : effective magnetic field (3.214)
- : density (1.937)
- : magnetic field (1.882)
- : thickness (1.858)
- : molar mass (1.817)
- : volume (1.790)
- : vacuum permittivity (1.790)
- : frequency (1.707)
- : direction (1.665)
- : permeability (electromagnetism) (1.581)
Optical properties, condensed-matter spectroscopy and other interactions of radiation and particles with condensed matter
[edit]Category information
- reference category: Optical properties, condensed-matter spectroscopy and other interactions of radiation and particles with condensed matter
- code: 78.00.00 (PACS)
- wiki categories: [(Category:Materials science, 3), (Category:Condensed matter physics, 3), (Category:Chemical physics, 2)]
Cluster information:
- cluster id: [1207]
- matching score: 0.268363578666
- purity: 1.0
- matching keywords: [u'matter', u'condensed', u'materials', u'solid', u'magnetic', u'state']
Definitions:
- : angular frequency (1.845)
- : permittivity (1.544)
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES
[edit]Mechanical and acoustical properties of condensed matter
[edit]Category information
- reference category: Mechanical and acoustical properties of condensed matter
- code: 62.00.00 (PACS)
- wiki categories: [(Category:Mechanical engineering, 3), (Category:Kinematics, 3), (Category:Technology systems, 3)]
Cluster information:
- cluster id: [8170]
- matching score: 0.252663411967
- purity: 1.0
- matching keywords: [u'ratio', u'systems', u'mechanical']
Definitions:
- : teeth (8.677)
- : input gear (7.375)
- : teeth (5.890)
- : output gear (5.869)
- : gear ratio (5.232)
- : input gear (4.000)
- : velocity (3.755)
- : input gear (3.713)
- : output gear (3.639)
- : output torque (3.415)
- : input gear (3.216)
- : input torque (2.803)
- : force (2.496)
- : pitch radius (1.974)
- : distance (1.842)
- : rope sections (1.666)
Category theory; homological algebra
[edit]General theory of categories and functors
[edit]Category information
- reference category: General theory of categories and functors
- code: 18Axx (MSC)
- wiki categories: [(Category:Functors, 3), (Category:Duality theories, 1), (Category:Adjoint functors, 1)]
Cluster information:
- cluster id: [325]
- matching score: 0.35211595218
- purity: 1.0
- matching keywords: [u'functors', u'category', u'adjoint', u'natural', u'functor']
Definitions:
- : subcategory (6.987)
- : functor (5.058)
- : functor (4.953)
- : contravariant functor (4.555)
- : object (4.359)
- : categories (4.132)
- : functor (3.776)
- : object (3.210)
- : isomorphisms (2.595)
- : small category (2.582)
- : field (mathematics) (1.858)
- : subset (1.775)
- : ring (1.766)
- : natural transformation (1.756)
- : generator (1.746)
- : morphism (1.629)
- : object (1.628)
- : objects (1.499)
Categories with structure
[edit]Category information
- reference category: Categories with structure
- code: 18Dxx (MSC)
- wiki categories: [(Category:Multilinear algebra, 3), (Category:Category theory, 3), (Category:Monoidal categories, 3)]
Cluster information:
- cluster id: [8097]
- matching score: 0.69065621336
- purity: 1.0
- matching keywords: [u'category', u'monoidal', u'closed', u'algebra', u'categories', u'braided']
Definitions:
- : monoidal category (6.125)
- : category of sets (4.992)
- : objects (4.915)
- : commutativity constraint (2.705)
- : fold tensor product factors (1.865)
- : tensor product (1.774)
Categories and geometry
[edit]Category information
- reference category: Categories and geometry
- code: 18Fxx (MSC)
- wiki categories: [(Category:Category theory, 6), (Category:Functions and mappings, 4), (Category:Mathematical structures, 3)]
Cluster information:
- cluster id: [4101, 8374]
- matching score: 0.557360171149
- purity: 1.0
- matching keywords: [u'category', u'functors', u'homological', u'geometry', u'abstract', u'algebra', u'categories', u'manifolds']
Definitions:
- : opposite category (8.085)
- : object (7.286)
- : morphism (5.536)
- : morphism (3.906)
- : module (mathematics) (3.734)
- : categories (3.392)
- : objects (3.248)
- : category (2.665)
- : function (mathematics) (2.460)
- : diagram (category theory) (1.852)
- : exact functor (1.845)
- : exact functor (1.793)
- : ring (mathematics) (1.664)
- : one-dimensional vector space (1.641)
Homological algebra
[edit]Category information
- reference category: Homological algebra
- code: 18Gxx (MSC)
- wiki categories: [(Category:Abstract algebra, 20), (Category:Ring theory, 11), (Category:Commutative algebra, 8)]
Cluster information:
- cluster id: [1028, 2631, 4007, 6860]
- matching score: 0.411389729336
- purity: 1.0
- matching keywords: [u'category', u'homology', u'homological', u'algebra', u'theories', u'relative', u'objects', u'projective', u'dimension']
Definitions:
- : finitely generated module (21.818)
- : module (19.662)
- : module (17.887)
- : group ring (10.747)
- : ideal (ring theory) (8.643)
- : field (mathematics) (7.863)
- : module (7.513)
- : module (7.511)
- : polynomial ring (7.283)
- : field (6.502)
- : modules (5.827)
- : module (4.475)
- : modules (4.265)
- : polynomial ring (3.905)
- : module (3.639)
- : surjective module homomorphism (3.627)
- : linear map (3.605)
- : multiplicatively closed subset (3.599)
- : codimension (3.406)
- : submodules (3.400)
- : matrix (mathematics) (3.154)
- : polynomial ring (3.100)
- : ideal (ring theory) (2.798)
- : lie algebra (2.711)
- : ring (2.608)
- : dense right ideal (2.571)
- : nonzero (2.532)
- : prime ideal (2.485)
- : module homomorphism (1.950)
- : chain (1.882)
- : category (1.848)
- : many copies (1.829)
- : homomorphism (1.824)
- : zariski (1.810)
- : open subsets (1.810)
- : module (1.774)
- : module (1.725)
- : modules (1.600)
- : subject (1.598)
- : zero-divisor (1.591)
Classical thermodynamics, heat transfer
[edit]Thermodynamics and heat transfer
[edit]Category information
- reference category: Thermodynamics and heat transfer
- code: 80Axx (MSC)
- wiki categories: [(Category:Thermodynamics, 10), (Category:Empirical laws, 4), (Category:Physics, 4)]
Cluster information:
- cluster id: [6386, 7746, 9950]
- matching score: 0.399318825195
- purity: 1.0
- matching keywords: [u'transfer', u'chemical', u'thermodynamics', u'heat', u'chemistry']
Definitions:
- : temperature (18.171)
- : volume (thermodynamics) (9.787)
- : internal energy (8.118)
- : heat (7.410)
- : state (7.151)
- : entropy (6.168)
- : pressure (5.985)
- : state (5.840)
- : time (4.645)
- : pressure (4.500)
- : state (3.565)
- : volume (3.523)
- : volume (3.438)
- : volume (2.761)
- : work (thermodynamics) (2.735)
- : energy (2.562)
- : state (1.937)
- : arbitrary state (1.907)
- : volume (1.902)
- : time (1.816)
- : molar mass (1.779)
- : heat (1.723)
- : mass (1.688)
- : exact differential (1.621)
- : total energy (1.574)
- : new system (1.476)
Combinatorics
[edit]Graph theory
[edit]Category information
- reference category: Graph theory
- code: 05Cxx (MSC)
- wiki categories: [(Category:Graph theory, 14), (Category:Graph theory objects, 6), (Category:Graph invariants, 5)]
Cluster information:
- cluster id: [758, 3372, 3998, 5175, 6657]
- matching score: 0.462997559186
- purity: 1.0
- matching keywords: [u'perfect', u'paths', u'isomorphism', u'degree', u'hamiltonian', u'combinatorics', u'graph', u'topological', u'graphs', u'connectivity', u'coloring', u'algorithms', u'geometric', u'cycles', u'matrices']
Definitions:
- : vertices (19.811)
- : graph (mathematics) (18.075)
- : glossary of graph theory (17.852)
- : complete graph (15.524)
- : complete bipartite graph (9.558)
- : vertex (graph theory) (8.425)
- : vertices (7.720)
- : cycle graph (7.051)
- : series (7.009)
- : glossary of graph theory (6.870)
- : edges (5.725)
- : vertex (5.393)
- : complete graph (3.913)
- : degree (graph theory) (3.842)
- : color (3.635)
- : graph isomorphism (3.485)
- : edge (2.776)
- : neighbourhood (graph theory) (2.731)
- : edges (2.486)
- : graph (2.441)
- : vertices (2.221)
- : vertices (1.950)
- : vertex cover (1.939)
- : complexity (1.939)
- : graph (1.937)
- : running time (1.866)
- : finite set (1.848)
- : sequence (1.847)
- : vertex (1.816)
- : first color (1.779)
- : vertex (1.712)
- : edges (1.708)
- : wheel graph (1.690)
- : graph (1.687)
- : chromatic number (1.659)
- : vertex (1.657)
- : chromatic roots (1.524)
Computer science
[edit]Theory of data
[edit]Category information
- reference category: Theory of data
- code: 68Pxx (MSC)
- wiki categories: [(Category:Information theory, 7), (Category:Statistical theory, 6), (Category:Theoretical computer science, 5)]
Cluster information:
- cluster id: [5498, 7294, 8316]
- matching score: 0.338922814986
- purity: 1.0
- matching keywords: [u'information', u'science', u'coding', u'computer', u'communication', u'data']
Definitions:
- : rate (7.323)
- : length (7.223)
- : code (6.108)
- : message (5.399)
- : minimum distance (5.171)
- : code (4.310)
- : random variable (3.685)
- : word (3.630)
- : relative distance (3.555)
- : arbitrary probability distribution (3.494)
- : probability distribution (3.484)
- : message length (3.372)
- : information (3.253)
- : radius (2.926)
- : entropy (2.889)
- : temperature (2.776)
- : alphabet (2.670)
- : conditional probability (2.650)
- : likelihood function (2.604)
- : codeword (2.406)
- : entropy (2.288)
- : function (1.974)
- : codewords (1.939)
- : estimator (1.891)
- : codewords (1.882)
- : function (1.858)
- : codewords (1.754)
- : code (1.659)
- : code (1.563)
- : nformation (1.524)
Discrete mathematics in relation to computer science
[edit]Category information
- reference category: Discrete mathematics in relation to computer science
- code: 68Rxx (MSC)
- wiki categories: [(Category:Theoretical computer science, 5), (Category:Mathematical science occupations, 3), (Category:Fields of finance, 3)]
Cluster information:
- cluster id: [2172, 7093, 8197]
- matching score: 0.349110770367
- purity: 1.0
- matching keywords: [u'computer', u'words', u'mathematics', u'combinatorics', u'science']
Definitions:
- : context-sensitive grammar (7.034)
- : time (4.738)
- : convex function (3.659)
- : function (3.656)
- : function (3.172)
- : tuple (1.891)
- : tuple (1.817)
- : successor function (1.791)
- : nspace (1.754)
- : induction step (1.738)
- : acceptance set (1.609)
- : middle term (1.587)
- : natural numbers (1.495)
Artificial intelligence
[edit]Category information
- reference category: Artificial intelligence
- code: 68Txx (MSC)
- wiki categories: [(Category:Fields of mathematics, 3), (Category:Calculus, 2), (Category:Mathematical analysis, 2)]
Cluster information:
- cluster id: [2670]
- matching score: 0.243265095288
- purity: 1.0
- matching keywords: [u'solving', u'knowledge', u'intelligence', u'processing', u'artificial', u'systems', u'uncertainty', u'representation', u'science']
Definitions:
- : linear map (2.767)
- : function (2.561)
- : function (2.550)
- : commodities (2.492)
- : functions (2.481)
- : time (2.250)
- : cardinal (1.845)
- : state (1.812)
- : differential d (1.761)
- : functions (1.719)
- : derivative (1.707)
- : jacobian matrix (1.664)
- : state diagram (1.863)
- : input variables (1.583)
- : functions (1.430)
Computing methodologies and applications
[edit]Category information
- reference category: Computing methodologies and applications
- code: 68Uxx (MSC)
- wiki categories: [(Category:Computer graphics, 6), (Category:Computer vision, 6), (Category:Image processing, 6)]
Cluster information:
- cluster id: [831, 1622]
- matching score: 0.402364510194
- purity: 1.0
- matching keywords: [u'mathematical', u'geometry', u'image', u'processing', u'computer', u'graphics']
Definitions:
- : scale (6.939)
- : integration scale parameter (4.427)
- : binary image (3.724)
- : direction (3.608)
- : scale space (3.602)
- : origin (3.496)
- : structuring element (3.477)
- : grayscale dilation (3.282)
- : dimension (2.961)
- : grayscale dilation (2.850)
- : matrix (2.815)
- : collection (2.685)
- : scale (2.560)
- : euclidean space (2.214)
- : euclidean space (1.974)
- : radius (1.950)
- : dimensions (1.939)
- : direction (1.902)
- : erosion (1.902)
- : dimensional ridge (1.900)
- : matrix (1.847)
- : covariance matrices (1.810)
- : partial derivatives (1.790)
- : translation (1.790)
- : covariance matrices (1.781)
- : dilation (1.781)
- : image (1.690)
- : direction (1.641)
- : tangent lines (1.621)
- : dilation (1.618)
- : square (1.581)
- : positive value (1.563)
- : partial derivatives (1.524)
- : pixels (1.488)
Algorithms
[edit]Category information
- reference category: Algorithms
- code: 68Wxx (MSC)
- wiki categories: [(Category:Algorithms, 3), (Category:Algebra, 2), (Category:Computational science, 2)]
Cluster information:
- cluster id: [6563]
- matching score: 0.397769173482
- purity: 1.0
- matching keywords: [u'algebraic', u'computer', u'algorithms', u'analysis', u'science']
Definitions:
- : sequence (4.369)
- : multiplicity (1.974)
- : finite field (1.891)
- : tuple (1.864)
- : real numbers (1.810)
- : polynomial (1.800)
Computing methodologies
[edit]Machine learning
[edit]Category information
- reference category: Machine learning
- code: NO_CODE (ACM)
- wiki categories: [(Category:Machine learning, 6), (Category:Computational learning theory, 3), (Category:Theoretical computer science, 3)]
Cluster information:
- cluster id: [4551, 8206]
- matching score: 0.649404202935
- purity: 1.0
- matching keywords: [u'kernel', u'regularization', u'statistical', u'classification', u'support', u'analysis', u'machine', u'vector', u'algorithms', u'learning', u'ensemble', u'machines']
Definitions:
- : concept class (7.638)
- : concept (3.624)
- : concept class (3.183)
- : distribution (2.707)
- : classifier (1.939)
- : partial approximation (1.902)
- : labels (1.845)
- : probability distribution (1.781)
- : loss function (1.688)
Differential geometry
[edit]Classical differential geometry
[edit]Category information
- reference category: Classical differential geometry
- code: 53Axx (MSC)
- wiki categories: [(Category:Differential geometry, 5), (Category:Differential equations, 3), (Category:Topology, 3)]
Cluster information:
- cluster id: [6805, 9370]
- matching score: 0.477953735166
- purity: 1.0
- matching keywords: [u'surfaces', u'objects', u'classical', u'geometry', u'geometric', u'differential', u'analysis']
Definitions:
- : differentiable manifold (5.972)
- : function (3.502)
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Dynamical systems and ergodic theory
[edit]Applications
[edit]Category information
- reference category: Applications
- code: 37Nxx (MSC)
- wiki categories: [(Category:Dynamical systems, 8), (Category:Functions and mappings, 4), (Category:Physical systems, 4)]
Cluster information:
- cluster id: [2297, 8165, 9135]
- matching score: 0.330787405056
- purity: 1.0
- matching keywords: [u'mechanics', u'control', u'meteorology', u'branches', u'dynamical', u'solid', u'economics', u'analysis', u'optimization', u'systems', u'quantum', u'physics']
Definitions:
- : volume (6.980)
- : internal energy (2.749)
- : absolute temperature (2.678)
- : gas constant (2.595)
- : pressure (2.570)
- : proper convex function (2.450)
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- : volume (1.865)
- : vector space (1.858)
- : specific volume (1.779)
- : volume (1.756)
- : pressure (1.752)
- : partial pressure (1.726)
- : gas mixture (1.717)
- : chaotic behavior (1.632)
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS
[edit]Acoustics
[edit]Category information
- reference category: Acoustics
- code: 43.00.00 (PACS)
- wiki categories: [(Category:Physical quantities, 4), (Category:Acoustics, 4), (Category:Sound measurements, 4)]
Cluster information:
- cluster id: [5274]
- matching score: 0.456310006196
- purity: 1.0
- matching keywords: [u'sound', u'mechanics', u'acoustics', u'dynamics', u'measurements', u'fluid', u'physical']
Definitions:
- : wave (6.764)
- : particle velocity (2.677)
- : sound intensity (2.593)
- : distance (2.524)
- : sound energy density (2.473)
- : frequency (1.882)
- : metre (1.876)
- : watt (1.865)
- : sound intensity (1.790)
- : area (1.787)
- : sound intensity (1.779)
- : acoustic intensity (1.591)
- : density (1.441)
Classical mechanics of discrete systems
[edit]Category information
- reference category: Classical mechanics of discrete systems
- code: 45.00.00 (PACS)
- wiki categories: [(Category:Physics, 16), (Category:Mechanics, 14), (Category:Classical mechanics, 14)]
Cluster information:
- cluster id: [5683, 6742, 8032, 8640, 8940]
- matching score: 0.314862814041
- purity: 1.0
- matching keywords: [u'mechanics', u'computational', u'power', u'energy', u'fluid', u'celestial', u'rigid', u'dynamics', u'newtonian', u'classical', u'system', u'motion', u'conservation', u'kinematics', u'momentum', u'forces', u'mechanical', u'bodies']
Definitions:
- : force (21.736)
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- : velocity (21.053)
- : time (17.001)
- : momentum (14.082)
- : angular momentum (13.398)
- : particle (12.579)
- : acceleration (12.473)
- : position (vector) (10.802)
- : moment of inertia (10.035)
- : kinetic energy (7.861)
- : velocity (7.840)
- : effective exhaust velocity (7.699)
- : rigid body (7.097)
- : distance (6.877)
- : particle (4.549)
- : direction vector (4.526)
- : mass (4.464)
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- : volume integral (3.731)
- : velocity (3.661)
- : particles (3.660)
- : moment of inertia tensor (3.635)
- : angular momentum (3.633)
- : unit vector (3.626)
- : acceleration (3.595)
- : center of mass (3.583)
- : magnitude (3.565)
- : displacement (vector) (3.565)
- : speed of light (3.394)
- : rotation (3.369)
- : kinetic energy (3.316)
- : angular velocity (2.869)
- : length (2.771)
- : pivot point (2.728)
- : gravitational acceleration (2.725)
- : unit vector (2.682)
- : rotation matrix (2.670)
- : generalized coordinates (2.627)
- : spring (2.602)
- : reference point (2.597)
- : gravitational constant (2.587)
- : force (2.575)
- : local acceleration (2.543)
- : electric charge (2.467)
- : body (2.292)
- : curved path (1.950)
- : angle (1.950)
- : unit vector (1.907)
- : frequency (1.882)
- : masses (1.882)
- : total work (1.881)
- : frame (1.872)
- : skew-symmetric matrix (1.865)
- : mass (1.865)
- : rotation (1.852)
- : unit vector (1.845)
- : weight (1.833)
- : unit vector (1.789)
- : orbital (1.752)
- : direction vector (1.749)
- : moment (1.744)
- : electric field (1.724)
- : torque (1.724)
- : body (1.718)
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- : canonical momentum (1.714)
- : torque (1.701)
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- : momentum operator (1.591)
- : potential energy (1.576)
- : polar coordinate system (1.540)
- : direction (1.439)
Continuum mechanics of solids
[edit]Category information
- reference category: Continuum mechanics of solids
- code: 46.00.00 (PACS)
- wiki categories: [(Category:Mechanics, 3), (Category:Materials science, 3), (Category:Continuum mechanics, 3)]
Cluster information:
- cluster id: [2450]
- matching score: 0.54066037904
- purity: 1.0
- matching keywords: [u'mechanics', u'continuum', u'classical', u'plasticity']
Definitions:
- : surface (5.460)
- : time (4.609)
- : position vector (4.360)
- : vector field (2.791)
- : material time derivative (2.755)
- : material time derivative (2.661)
- : position (2.652)
- : material time derivative (2.638)
- : flux (2.603)
- : velocity (2.583)
- : heat (2.548)
- : mapping function (1.939)
- : normal vector (1.939)
- : surface forces (1.937)
- : internal surface area (1.891)
- : shear viscosity (1.845)
- : body forces (1.816)
- : particle velocity (1.813)
- : particle (1.790)
- : elastic strain (1.779)
- : unit mass (1.766)
- : material time derivative (1.766)
- : velocity (1.745)
- : region (1.689)
- : continuum (1.662)
- : components (1.640)
- : position vector (1.591)
Field theory and polynomials
[edit]Differential and difference algebra
[edit]Category information
- reference category: Differential and difference algebra
- code: 12Hxx (MSC)
- wiki categories: [(Category:Abstract algebra, 31), (Category:Ring theory, 20), (Category:Algebra, 18)]
Cluster information:
- cluster id: [2012, 2090, 3378, 3397, 5021, 5579, 6946, 7439, 8428]
- matching score: 0.422155362999
- purity: 1.0
- matching keywords: [u'field', u'algebra', u'abstract', u'differential', u'polynomials']
Definitions:
- : polynomial (17.140)
- : module (mathematics) (16.749)
- : field (mathematics) (15.345)
- : field (mathematics) (13.863)
- : local field (12.146)
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- : extension field (10.984)
- : degree (10.686)
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- : finite field (8.287)
- : length (6.994)
- : division algebra (6.752)
- : module (6.405)
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- : field (6.032)
- : valuation (5.397)
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- : field (5.180)
- : quaternion (4.593)
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- : linear operator (4.474)
- : field (3.587)
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- : field (mathematics) (3.566)
- : form (3.528)
- : polynomial (3.462)
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- : valuation ring (1.657)
- : basis (1.657)
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Fluid mechanics
[edit]Foundations, constitutive equations, rheology
[edit]Category information
- reference category: Foundations, constitutive equations, rheology
- code: 76Axx (MSC)
- wiki categories: [(Category:Non-Newtonian fluids, 7), (Category:Liquids, 7), (Category:Fluid mechanics, 7)]
Cluster information:
- cluster id: [3030, 5890]
- matching score: 0.53559712298
- purity: 1.0
- matching keywords: [u'mechanics', u'classical', u'fluids', u'fluid']
Definitions:
- : time (4.699)
- : time (3.889)
- : young's modulus (3.349)
- : stress (1.974)
- : viscosity (1.882)
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- : total stress (1.845)
- : strain rate (1.786)
- : storage modulus (1.724)
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Turbulence
[edit]Category information
- reference category: Turbulence
- code: 76Fxx (MSC)
- wiki categories: [(Category:Fluid dynamics, 3), (Category:Physics, 2), (Category:Aerodynamics, 2)]
Cluster information:
- cluster id: [5342]
- matching score: 0.407243228585
- purity: 1.0
- matching keywords: [u'mechanics', u'dynamical', u'turbulence', u'aerodynamics', u'fluid', u'transport', u'systems']
Definitions:
- : velocity (1.974)
- : energy dissipation (1.902)
- : diffusive body-vortex interaction fluid velocity (1.866)
- : constants (1.847)
- : diffusion velocity (1.845)
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- : kinematic viscosity (1.779)
- : fluxes (1.610)
- : diffusive body-vortex interaction fluid velocity (1.591)
- : large scales (1.556)
- : fourier (1.556)
Compressible fluids and gas dynamics, general
[edit]Category information
- reference category: Compressible fluids and gas dynamics, general
- code: 76Nxx (MSC)
- wiki categories: [(Category:Gases, 4), (Category:Thermodynamics, 3), (Category:Gas technologies, 3)]
Cluster information:
- cluster id: [1166]
- matching score: 0.381402182058
- purity: 1.0
- matching keywords: [u'mechanics', u'dynamics', u'gas', u'fluid']
Definitions:
- : volume (6.958)
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- : universal gas constant (2.685)
- : compressibility factor (1.854)
- : pressure (1.821)
- : heat capacity ratio (1.810)
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Biological fluid mechanics
[edit]Category information
- reference category: Biological fluid mechanics
- code: 76Zxx (MSC)
- wiki categories: [(Category:Fluid mechanics, 6), (Category:Fluid dynamics, 5), (Category:Dynamics, 5)]
Cluster information:
- cluster id: [3743, 6074]
- matching score: 0.590251215805
- purity: 1.0
- matching keywords: [u'mechanics', u'fluid']
Definitions:
- : dynamic viscosity (2.483)
- : surface tension (1.816)
- : viscosity (1.805)
- : density (1.805)
- : stokes radius (1.641)
- : momentum diffusivity (1.600)
Fourier analysis
[edit]Fourier analysis in several variables
[edit]Category information
- reference category: Fourier analysis in several variables
- code: 42Bxx (MSC)
- wiki categories: [(Category:Fourier analysis, 7), (Category:Signal processing, 5), (Category:Mathematical analysis, 5)]
Cluster information:
- cluster id: [719, 2145, 5631]
- matching score: 0.473693116456
- purity: 1.0
- matching keywords: [u'function', u'functions', u'series', u'harmonic', u'analysis', u'transforms', u'fourier']
Definitions:
- : function (7.003)
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- : samples (1.846)
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Functional analysis
[edit]Nonlinear functional analysis
[edit]Category information
- reference category: Nonlinear functional analysis
- code: 46Txx (MSC)
- wiki categories: [(Category:Functional analysis, 3), (Category:Operator theory, 2), (Category:Theoretical physics, 2)]
Cluster information:
- cluster id: [1]
- matching score: 0.411485246068
- purity: 1.0
- matching keywords: [u'analysis', u'spaces', u'nonlinear', u'manifolds', u'functional']
Definitions:
- : bounded linear operator (6.085)
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- : operator (2.641)
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- : space (1.950)
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- : diagonal matrix (1.762)
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- : span (1.641)
Functions of a complex variable
[edit]Miscellaneous topics of analysis in the complex domain
[edit]Category information
- reference category: Miscellaneous topics of analysis in the complex domain
- code: 30Exx (MSC)
- wiki categories: [(Category:Complex analysis, 7), (Category:Theorems in complex analysis, 3), (Category:Theorems in analysis, 3)]
Cluster information:
- cluster id: [2838, 9700]
- matching score: 0.398631949552
- purity: 1.0
- matching keywords: [u'analytic', u'functions', u'complex', u'analysis']
Definitions:
- : analytic function (7.907)
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- : holomorphic function (4.860)
- : complex plane (2.845)
- : curve (1.974)
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GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS
[edit]Solid Earth physics
[edit]Category information
- reference category: Solid Earth physics
- code: 91.00.00 (PACS)
- wiki categories: [(Category:Subfields of geology, 4), (Category:Seismology, 4), (Category:Seismology measurement, 4)]
Cluster information:
- cluster id: [1041]
- matching score: 0.294063392018
- purity: 1.0
- matching keywords: [u'attenuation', u'geophysics', u'seismology', u'geology', u'solid', u'earth', u'physics']
Definitions:
- : book (2.563)
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Hydrospheric and atmospheric geophysics
[edit]Category information
- reference category: Hydrospheric and atmospheric geophysics
- code: 92.00.00 (PACS)
- wiki categories: [(Category:Chemistry, 9), (Category:Chemical properties, 6), (Category:Analytical chemistry, 4)]
Cluster information:
- cluster id: [212, 1751, 7409]
- matching score: 0.241404318401
- purity: 1.0
- matching keywords: [u'mechanics', u'biology', u'analysis', u'chemical', u'mixing', u'analytical', u'chemistry', u'physics', u'properties', u'physical']
Definitions:
- : mass (9.619)
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- : mass fraction (chemistry) (5.721)
- : mass concentration (chemistry) (5.470)
- : molar mass (5.278)
- : molar mass (4.941)
- : mole fraction (4.898)
- : molar concentration (4.784)
- : density (3.584)
- : molar mass (3.448)
- : host (2.707)
- : mass ratio (2.699)
- : nucleus (2.649)
- : adt matrix (2.619)
- : volume (2.585)
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- : constituent (1.950)
- : elec (1.942)
- : contour (1.939)
- : mole ratio (1.937)
- : matrix elements (1.900)
- : reference temperature (1.900)
- : electronic wave functions (1.891)
- : positions (1.812)
- : angle (1.811)
- : molality (1.793)
- : equation (1.744)
- : equation (1.712)
- : mass ratio (1.665)
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- : integration (1.497)
Physics of the ionosphere and magnetosphere
[edit]Category information
- reference category: Physics of the ionosphere and magnetosphere
- code: 94.00.00 (PACS)
- wiki categories: [(Category:Physics, 4), (Category:Astrophysics, 3), (Category:Plasma physics, 3)]
Cluster information:
- cluster id: [2908]
- matching score: 0.289974051297
- purity: 1.0
- matching keywords: [u'motion', u'systems', u'astrophysics', u'plasma', u'dynamics', u'physics', u'experimental']
Definitions:
- : magnetic field (3.422)
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- : magnetic field (2.657)
- : momentum (2.555)
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- : species (1.974)
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- : time (1.891)
- : gyroradius (1.845)
- : electric potential (1.797)
- : velocity component (1.723)
- : mass (1.677)
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Stars
[edit]Category information
- reference category: Stars
- code: 97.00.00 (PACS)
- wiki categories: [(Category:Astronomical catalogues, 31), (Category:Constellations, 31), (Category:Bayer objects, 27)]
Cluster information:
- cluster id: [1182, 4734, 4891, 5812, 7129, 8964, 9590]
- matching score: 0.604734859715
- purity: 1.0
- matching keywords: [u'planetary', u'planets', u'sequence', u'variables', u'degenerate', u'proper', u'multiple', u'ceti', u'spectral', u'binary', u'giant', u'cygni', u'systems', u'stars', u'white', u'majoris', u'star', u'dwarf', u'spectroscopic', u'beta', u'objects', u'variable', u'alpha', u'class', u'types', u'supernovae', u'g', u'luminosity', u'lyrae', u'cataclysmic', u'binaries']
Definitions:
- : star (43.305)
- : radius (31.929)
- : radius (3.705)
- : effective surface temperature (3.705)
- : luminosity (3.484)
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- : radial velocity (1.845)
Game theory, economics, social and behavioral sciences
[edit]Mathematical economics
[edit]Category information
- reference category: Mathematical economics
- code: 91Bxx (MSC)
- wiki categories: [(Category:Consumer theory, 5), (Category:Consumerism, 4), (Category:Economic theories, 4)]
Cluster information:
- cluster id: [3248, 9819]
- matching score: 0.438017007388
- purity: 1.0
- matching keywords: [u'mathematical', u'decision', u'economics', u'monetary', u'economic', u'behavior', u'demand', u'consumer', u'utility']
Definitions:
- : total consumption (5.700)
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- : consumption function (3.336)
- : change (2.977)
- : income (2.868)
- : total consumption (2.850)
- : marginal propensity to consume (2.685)
- : price level (1.926)
- : utility level (1.847)
- : payments (1.790)
- : disposable income (1.779)
Other social and behavioral sciences (mathematical treatment)
[edit]Category information
- reference category: Other social and behavioral sciences (mathematical treatment)
- code: 91Fxx (MSC)
- wiki categories: [(Category:Gaming, 3), (Category:Formal sciences, 3), (Category:Decision theory, 3)]
Cluster information:
- cluster id: [8680]
- matching score: 0.402049421229
- purity: 1.0
- matching keywords: [u'mathematical', u'sciences', u'game', u'economics']
Definitions:
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General topology
[edit]Generalities
[edit]Category information
- reference category: Generalities
- code: 54Axx (MSC)
- wiki categories: [(Category:General topology, 3), (Category:Topology, 3), (Category:Mathematical structures, 2)]
Cluster information:
- cluster id: [3399]
- matching score: 0.474817002951
- purity: 1.0
- matching keywords: [u'general', u'structures', u'topology']
Definitions:
- : topological space (7.000)
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Geometry
[edit]Analytic and descriptive geometry
[edit]Category information
- reference category: Analytic and descriptive geometry
- code: 51Nxx (MSC)
- wiki categories: [(Category:Quadrilaterals, 3), (Category:Analytic geometry, 3), (Category:Geometric shapes, 3)]
Cluster information:
- cluster id: [4774, 6224]
- matching score: 0.494281227371
- purity: 1.0
- matching keywords: [u'geometry', u'analytic', u'physics', u'euclidean']
Definitions:
- : plane curve (8.757)
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Group theory and generalizations
[edit]Connections with homological algebra and category theory
[edit]Category information
- reference category: Connections with homological algebra and category theory
- code: 20Jxx (MSC)
- wiki categories: [(Category:Group theory, 10), (Category:Abstract algebra, 7), (Category:Metric geometry, 6)]
Cluster information:
- cluster id: [4138, 5935, 8793]
- matching score: 0.379961219218
- purity: 1.0
- matching keywords: [u'group', u'groups', u'algebra', u'cohomology']
Definitions:
- : group action (7.766)
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Hardware
[edit]Power and energy
[edit]Category information
- reference category: Power and energy
- code: NO_CODE (ACM)
- wiki categories: [(Category:Electronic engineering, 6), (Category:Electronic circuits, 5), (Category:Electrical engineering, 5)]
Cluster information:
- cluster id: [1337, 2980, 4546, 9432]
- matching score: 0.282528098133
- purity: 1.0
- matching keywords: [u'power', u'circuits', u'communication', u'energy', u'processing', u'hardware', u'design', u'systems', u'digital', u'distribution', u'signal', u'analog']
Definitions:
- : electrical impedance (8.909)
- : shunt (7.073)
- : position (6.383)
- : charges (5.442)
- : test charge (5.062)
- : filter half-section (4.865)
- : electric potential energy (4.738)
- : electric charge (4.681)
- : test charge (4.450)
- : electric field (4.171)
- : electrostatic force (3.769)
- : electric charge (3.461)
- : half-sections (2.937)
- : electric field (2.865)
- : complex exponentials (2.787)
- : displacement vector (2.532)
- : farad (2.523)
- : potential energy (2.433)
- : customers (2.286)
- : nominal impedance (1.939)
- : filters (1.939)
- : energy density (1.937)
- : customers (1.900)
- : positions (1.865)
- : electric potential (1.847)
- : charge (1.845)
- : propagation constant (1.821)
- : characteristic impedance (1.783)
- : potential energy (1.776)
- : distance (1.766)
- : different values (1.758)
- : propagation constant (1.724)
- : electrical conductance (1.722)
- : electric displacement field (1.718)
- : source point (1.681)
- : field point (1.677)
- : volume element (1.655)
- : displacement vector (1.552)
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY
[edit]Physical chemistry and chemical physics
[edit]Category information
- reference category: Physical chemistry and chemical physics
- code: 82.00.00 (PACS)
- wiki categories: [(Category:Physical chemistry, 3), (Category:Chemical kinetics, 2), (Category:Fluid dynamics, 1)]
Cluster information:
- cluster id: [7453]
- matching score: 0.209100203938
- purity: 1.0
- matching keywords: [u'applied', u'atmospheric', u'interdisciplinary', u'kinetics', u'chemical', u'thermodynamics', u'engineering', u'materials', u'systems', u'statistical', u'dynamics', u'chemistry', u'physics', u'physical']
Definitions:
- : gas constant (2.558)
- : gas constant (1.900)
- : equilibrium (1.790)
- : absolute pressure (1.552)
- : kelvin (1.546)
Electronics; radiowave and microwave technology; direct energy conversion and storage
[edit]Category information
- reference category: Electronics; radiowave and microwave technology; direct energy conversion and storage
- code: 84.00.00 (PACS)
- wiki categories: [(Category:Radio technology, 5), (Category:Telecommunications, 4), (Category:Signal cables, 2)]
Cluster information:
- cluster id: [428, 1471]
- matching score: 0.240137596747
- purity: 1.0
- matching keywords: [u'technology', u'circuits', u'communication', u'signal', u'lines', u'cables', u'transmission', u'connectors', u'components', u'antennas', u'electronics', u'electronic', u'telecommunications']
Definitions:
- : diameter (4.901)
- : diameter (3.405)
- : power level (3.318)
- : frequency (2.746)
- : speed of light (2.553)
- : length (1.937)
- : relative permeability (1.793)
- : characteristic impedance (1.714)
- : insulator (1.689)
- : dielectric constant (1.677)
Other areas of applied and interdisciplinary physics
[edit]Category information
- reference category: Other areas of applied and interdisciplinary physics
- code: 89.00.00 (PACS)
- wiki categories: [(Category:Physics, 6), (Category:Condensed matter physics, 5), (Category:Materials science, 5)]
Cluster information:
- cluster id: [3258, 7353]
- matching score: 0.246735933334
- purity: 1.0
- matching keywords: [u'applied', u'industrial', u'interdisciplinary', u'science', u'energy', u'engineering', u'systems', u'technology', u'physics']
Definitions:
- : direction (3.623)
- : equation (2.665)
- : wave vector (2.640)
- : atomic number density (2.625)
- : dependence (2.619)
- : specific heat capacity (2.600)
- : atomic mass (2.521)
- : atom (2.492)
- : atom (2.452)
- : type materials (2.417)
- : limit (1.939)
- : direction (1.937)
- : partition function (statistical mechanics) (1.902)
- : carrier density (1.902)
- : time (1.902)
- : long wavelength limit (1.865)
- : distance (1.865)
- : drift velocity (1.858)
- : electric field (1.848)
- : density of states (1.834)
- : equilibrium distribution (1.811)
- : spin (1.810)
- : group velocity (1.810)
- : concentration (1.810)
- : elementary charge (1.790)
- : length (1.749)
- : radiation intensity (1.744)
- : temperature (1.742)
- : slope (1.714)
- : momentum (1.696)
- : electrolyte (1.688)
- : unit vector (1.677)
- : drift velocity (1.664)
- : electron hole concentration (1.657)
- : electron hole concentration (1.657)
- : film2 (1.657)
- : velocity (1.653)
- : displacement vector (1.592)
- : phonon velocity (1.574)
- : film2 (1.524)
- : electron (1.490)
- : inverse screening length (1.489)
Information and communication, circuits
[edit]Communication, information
[edit]Category information
- reference category: Communication, information
- code: 94Axx (MSC)
- wiki categories: [(Category:Discrete mathematics, 4), (Category:Coding theory, 4), (Category:Encodings, 4)]
Cluster information:
- cluster id: [9339]
- matching score: 0.291389710465
- purity: 1.0
- matching keywords: [u'information', u'theorems', u'coding']
Definitions:
- : length (10.082)
- : hamming weight (9.143)
- : block code (4.437)
- : hamming distance (2.771)
- : codeword (2.688)
- : ary code (2.662)
- : errors (1.939)
- : relation (1.719)
- : error (1.598)
Circuits, networks
[edit]Category information
- reference category: Circuits, networks
- code: 94Cxx (MSC)
- wiki categories: [(Category:Electronic circuits, 3), (Category:Circuit theorems, 2), (Category:Electronic engineering, 2)]
Cluster information:
- cluster id: [8217]
- matching score: 0.350636813123
- purity: 1.0
- matching keywords: [u'circuits', u'graph', u'circuit']
Definitions:
- : circuit (3.294)
- : closed circuit (1.939)
- : impedance (1.847)
- : total number (1.754)
- : δ circuit (1.524)
Information systems
[edit]Data management systems
[edit]Category information
- reference category: Data management systems
- code: NO_CODE (ACM)
- wiki categories: [(Category:Databases, 4), (Category:Information technology management, 3), (Category:Computer data, 3)]
Cluster information:
- cluster id: [3792]
- matching score: 0.456086633014
- purity: 1.0
- matching keywords: [u'information', u'management', u'database', u'processing', u'system', u'transaction', u'systems', u'databases', u'data']
Definitions:
- : schedule (1.974)
- : original value (1.865)
K-theory
[edit]Whitehead groups and K_1
[edit]Category information
- reference category: Whitehead groups and K_1
- code: 19Bxx (MSC)
- wiki categories: [(Category:Group theory, 6), (Category:Subgroup properties, 6), (Category:Metric geometry, 2)]
Cluster information:
- cluster id: [4366, 5999]
- matching score: 0.372728245829
- purity: 1.0
- matching keywords: [u'group', u'subgroup']
Definitions:
- : subgroup (11.404)
- : group (mathematics) (6.319)
- : subgroup (1.974)
Manifolds and cell complexes
[edit]Topological manifolds
[edit]Category information
- reference category: Topological manifolds
- code: 57Nxx (MSC)
- wiki categories: [(Category:Geometric topology, 3), (Category:Differential geometry, 2), (Category:Differential topology, 2)]
Cluster information:
- cluster id: [5957]
- matching score: 0.454491410648
- purity: 1.0
- matching keywords: [u'algebraic', u'spaces', u'manifolds', u'geometric', u'structures', u'topological', u'topology']
Definitions:
- : sphere (3.729)
- : manifold (2.675)
- : embedding (2.458)
- : circles (1.926)
- : boundary (1.811)
- : boundary (1.533)
- : 3-sphere (1.497)
Mathematical logic and foundations
[edit]General logic
[edit]Category information
- reference category: General logic
- code: 03Bxx (MSC)
- wiki categories: [(Category:Proof theory, 7), (Category:Propositional calculus, 7), (Category:Inference, 6)]
Cluster information:
- cluster id: [4081, 9697]
- matching score: 0.408926723256
- purity: 1.0
- matching keywords: [u'mathematical', u'calculus', u'classical', u'logical', u'systems', u'logic', u'propositional', u'paraconsistent']
Definitions:
- : statement (5.991)
- : statement (5.452)
- : statement (3.564)
- : truth (1.657)
- : truth (1.625)
Set theory
[edit]Category information
- reference category: Set theory
- code: 03Exx (MSC)
- wiki categories: [(Category:Cardinal numbers, 16), (Category:Infinity, 16), (Category:Set theory, 14)]
Cluster information:
- cluster id: [963, 2347, 3838, 4965, 6276]
- matching score: 0.418232115185
- purity: 1.0
- matching keywords: [u'ordinal', u'mathematical', u'set', u'determinacy', u'descriptive', u'algebra', u'sets', u'cardinals', u'large', u'cardinal', u'numbers', u'logic', u'hypothesis', u'forcing', u'foundations']
Definitions:
- : elementary embedding (8.989)
- : elementary embedding (8.788)
- : sets (6.874)
- : critical point (set theory) (6.212)
- : cardinal number (4.692)
- : cardinal number (4.375)
- : domain (3.577)
- : subset (3.482)
- : natural number (3.396)
- : successor ordinal (3.316)
- : cardinality (3.231)
- : transitive class (2.787)
- : cardinal number (2.741)
- : union (2.688)
- : power set (2.682)
- : index set (2.657)
- : critical point (set theory) (2.526)
- : normal measure (2.501)
- : ordinals (2.469)
- : cardinality of the continuum (2.414)
- : ordinals (1.939)
- : rational number (1.933)
- : real number (1.855)
- : cardinality (1.847)
- : successor cardinal (1.790)
- : successor ordinal (1.754)
- : complex number (1.740)
- : measure theory (1.698)
- : integer (1.648)
- : sets (1.548)
Mechanics of deformable solids
[edit]Special subfields of solid mechanics
[edit]Category information
- reference category: Special subfields of solid mechanics
- code: 74Lxx (MSC)
- wiki categories: [(Category:Mechanics, 5), (Category:Physics, 3), (Category:Solid mechanics, 3)]
Cluster information:
- cluster id: [2527, 7115]
- matching score: 0.410678810296
- purity: 1.0
- matching keywords: [u'mechanics', u'solid']
Definitions:
- : mass (5.535)
- : eccentricity (3.380)
- : energy (2.869)
- : radius (2.768)
- : tensile stress (2.499)
- : order (1.812)
- : function (1.775)
- : equation (1.738)
- : notation (1.724)
- : plane (1.707)
- : yield strength (1.671)
- : change (1.524)
Mechanics of particles and systems
[edit]Kinematics
[edit]Category information
- reference category: Kinematics
- code: 70Bxx (MSC)
- wiki categories: [(Category:Robot control, 3), (Category:Mechanics, 3), (Category:Mechanical engineering, 2)]
Cluster information:
- cluster id: [6703]
- matching score: 0.338562777169
- purity: 1.0
- matching keywords: [u'mechanics', u'mechanisms', u'statics', u'rigid', u'kinematics']
Definitions:
- : freedom (5.343)
- : joints (3.849)
- : links (3.808)
- : constraints (2.961)
- : freedom (2.961)
- : degree-of-freedom (2.941)
- : fixed link (2.531)
- : freedom (2.488)
Dynamics of a system of particles, including celestial mechanics
[edit]Category information
- reference category: Dynamics of a system of particles, including celestial mechanics
- code: 70Fxx (MSC)
- wiki categories: [(Category:Gravitation, 6), (Category:Celestial mechanics, 6), (Category:Statics, 3)]
Cluster information:
- cluster id: [2239, 4273]
- matching score: 0.264334861599
- purity: 1.0
- matching keywords: [u'mechanics', u'celestial', u'dynamics', u'system']
Definitions:
- : world manifold (5.701)
- : gravitational constant (4.191)
- : time (3.635)
- : linear connection (2.811)
- : time (2.649)
- : structure group (2.621)
- : mean motion (2.516)
- : spatial distributions (1.939)
- : structure group (1.915)
- : gravitational constant (1.900)
- : hours (1.812)
- : mass (1.724)
- : distortion (1.654)
- : time (1.556)
NUCLEAR PHYSICS
[edit]Nuclear structure
[edit]Category information
- reference category: Nuclear structure
- code: 21.00.00 (PACS)
- wiki categories: [(Category:Pharmacology, 3), (Category:Pharmacokinetics, 2), (Category:Pharmaceutics, 2)]
Cluster information:
- cluster id: [4433]
- matching score: 0.232017461777
- purity: 1.0
- matching keywords: [u'nuclear', u'physics']
Definitions:
- : initial concentration (5.369)
- : initial concentration (5.125)
- : concentration (3.662)
- : elimination rate (1.754)
Properties of specific nuclei listed by mass ranges (an additional heading must be chosen with these entries, where the given mass number limits are, to some degree, arbitrary)
[edit]Category information
- reference category: Properties of specific nuclei listed by mass ranges (an additional heading must be chosen with these entries, where the given mass number limits are, to some degree, arbitrary)
- code: 27.00.00 (PACS)
- wiki categories: [(Category:Physics, 14), (Category:Particle physics, 9), (Category:Force, 7)]
Cluster information:
- cluster id: [6221, 6623, 8187]
- matching score: 0.286862684549
- purity: 1.0
- matching keywords: [u'mass', u'nuclear', u'physics', u'number']
Definitions:
- : electric charge (15.630)
- : magnetic field (13.834)
- : electric charge (11.565)
- : speed of light (9.225)
- : electric field (9.034)
- : baryon number (8.185)
- : coordinate time (7.233)
- : magnetic potential (6.897)
- : velocity (6.333)
- : subatomic particle (5.922)
- : rest mass (5.253)
- : hypercharge (5.186)
- : electromagnetic tensor (5.147)
- : % 20mechanics (5.088)
- : strangeness (4.699)
- : kinetic energy (4.620)
- : total angular momentum quantum number (4.580)
- : energy (4.532)
- : lepton number (4.524)
- : speed (4.374)
- : direction (4.287)
- : weak isospin (4.261)
- : potential energy (4.258)
- : magnetic dipole (4.197)
- : position vector (3.784)
- : magnetic charge (3.667)
- : dimensions (3.531)
- : manifold (3.404)
- : kinetic momentum (3.362)
- : up quark (3.213)
- : parity (3.142)
- : isospin (2.830)
- : physics (2.803)
- : current density (2.803)
- : weak hypercharge (2.762)
- : up quark (2.744)
- : electric potential (2.685)
- : gauge covariant derivative (2.676)
- : space (2.615)
- : field (2.595)
- : probability current (2.578)
- : third component (2.555)
- : fields (2.543)
- : position (2.479)
- : form (2.472)
- : electric displacement (1.942)
- : metric tensor (1.939)
- : closed loop (1.891)
- : lorentz force (1.858)
- : momentum component (1.858)
- : magnetization (1.850)
- : direction (1.779)
- : direction (1.779)
- : momentum operator (1.766)
- : charm (quantum number) (1.756)
- : surface (1.749)
- : direction (1.749)
- : gravitational acceleration (1.724)
- : four momentum (1.717)
- : cartesian coordinate (1.689)
- : velocities (1.677)
- : smooth function (1.621)
- : invariant mass (1.621)
- : direction (1.564)
- : lorentz factor (1.532)
- : mmj2ubwoeev70gxo14dyaw (1.532)
Networks
[edit]Network protocols
[edit]Category information
- reference category: Network protocols
- code: NO_CODE (ACM)
- wiki categories: [(Category:Authentication methods, 4), (Category:Computer access control, 4), (Category:Telecommunications engineering, 4)]
Cluster information:
- cluster id: [472, 7073]
- matching score: 0.51438647157
- purity: 1.0
- matching keywords: [u'layer', u'protocol', u'network', u'transport', u'protocols', u'formal']
Definitions:
- : antennas (8.788)
- : antennas (5.391)
- : session key (5.126)
- : server (4.412)
- : channel matrix (4.110)
- : identities (3.513)
- : symmetric key (2.637)
- : spatial correlation matrix (2.513)
- : signal covariance (1.939)
- : spatial correlation matrix (1.872)
- : cryptographic nonce (1.837)
- : session (1.814)
- : channel matrix (1.790)
- : antenna (1.790)
- : network (1.736)
- : alice (1.712)
- : permanent (1.654)
- : timestamp (1.635)
- : message (1.621)
- : cryptographic nonce (1.603)
Nonassociative rings and algebras
[edit]General nonassociative rings
[edit]Category information
- reference category: General nonassociative rings
- code: 17Axx (MSC)
- wiki categories: [(Category:Algebras, 3), (Category:Algebraic structures, 2), (Category:Representation theory, 2)]
Cluster information:
- cluster id: [7971]
- matching score: 0.383603283984
- purity: 1.0
- matching keywords: [u'algebras', u'nonassociative']
Definitions:
- : unital algebra (5.875)
- : quadratic form (5.707)
- : composition algebra (3.985)
- : algebra over a field (3.469)
- : matrix algebra (2.591)
- : hamilton (2.523)
- : octonion algebra (1.865)
- : quaternion algebra (1.659)
- : algebra over a field (1.655)
Number theory
[edit]Sequences and sets
[edit]Category information
- reference category: Sequences and sets
- code: 11Bxx (MSC)
- wiki categories: [(Category:Integer sequences, 16), (Category:Numbers, 14), (Category:Combinatorics, 11)]
Cluster information:
- cluster id: [589, 2465, 3238, 4338, 6820]
- matching score: 0.450480059793
- purity: 1.0
- matching keywords: [u'functions', u'lucas', u'stirling', u'number', u'binomial', u'numbers', u'sequences', u'arithmetic', u'fibonacci']
Definitions:
- : prime number (13.232)
- : prime number (6.160)
- : sequences (5.232)
- : natural number (4.160)
- : triangular number (2.669)
- : real numbers (2.619)
- : estimate (2.471)
- : lucas sequence (2.263)
- : sequences (1.939)
- : irrational number (1.939)
- : real number (1.939)
- : pseudoprime (1.900)
- : fibonacci number (1.891)
- : sequence (1.812)
- : natural number (1.799)
- : sequences (1.754)
- : conventions (1.712)
- : lower triangular matrix (1.529)
- : integer sequence (1.513)
Algebraic number theory: local and p-adic fields
[edit]Category information
- reference category: Algebraic number theory: local and p-adic fields
- code: 11Sxx (MSC)
- wiki categories: [(Category:Field theory, 4), (Category:Algebraic number theory, 4), (Category:Group theory, 2)]
Cluster information:
- cluster id: [7565]
- matching score: 0.513512645652
- purity: 1.0
- matching keywords: [u'field', u'number', u'class', u'galois', u'algebraic']
Definitions:
- : g-module (5.129)
- : brauer group (4.785)
- : galois group (4.459)
- : discrete valuation (4.071)
- : abelian extension (3.565)
- : prime number (2.753)
- : projective module (2.636)
- : trivial extension (1.834)
- : galois (1.790)
- : field norm (1.790)
- : galois (1.787)
- : extension of a valuation (1.749)
- : field (1.725)
- : smooth morphism (1.677)
Connections with logic
[edit]Category information
- reference category: Connections with logic
- code: 11Uxx (MSC)
- wiki categories: [(Category:Number theory, 4), (Category:Abstract algebra, 3), (Category:Field theory, 3)]
Cluster information:
- cluster id: [8638]
- matching score: 0.501027191748
- purity: 1.0
- matching keywords: [u'number', u'arithmetic']
Definitions:
- : field (mathematics) (4.389)
- : p-adic number (4.367)
- : field (mathematics) (4.365)
- : field (3.392)
- : preperiodic points (3.168)
- : adic numbers (3.162)
- : dirichlet l-function (2.725)
- : rational number (2.506)
- : algebraic field extension (2.500)
- : dedekind zeta function (2.487)
- : quadratic field (2.466)
- : ring (mathematics) (2.417)
- : algebraic field extension (2.320)
- : field (mathematics) (1.939)
- : ultrametric place (1.848)
- : galois extension (1.845)
- : choice (1.810)
- : real number (1.739)
- : absolute galois group (1.688)
- : prime ideal (1.683)
- : root (1.672)
- : prime ideal (1.666)
- : field (1.642)
- : morphism (1.632)
- : gaussian rational (1.629)
- : valuation (1.623)
- : ring (1.577)
Numerical analysis
[edit]Numerical linear algebra
[edit]Category information
- reference category: Numerical linear algebra
- code: 65Fxx (MSC)
- wiki categories: [(Category:Linear algebra, 8), (Category:Matrices, 6), (Category:Mathematical objects, 5)]
Cluster information:
- cluster id: [474, 2843, 8509]
- matching score: 0.462938101673
- purity: 1.0
- matching keywords: [u'linear', u'algebra', u'numerical', u'iterative', u'analysis', u'sparse', u'matrices', u'matrix']
Definitions:
- : symmetric matrix (14.671)
- : triangular matrix (8.400)
- : skew-hermitian matrix (5.940)
- : matrix (5.320)
- : triangular matrix (4.422)
- : diagonal matrix (3.654)
- : triangular matrix (3.572)
- : computation (2.781)
- : right hand side (2.323)
- : initial guess (1.903)
- : ω output (1.895)
- : loop (1.852)
- : loop (1.817)
- : diagonal matrix (1.816)
- : iteration (1.765)
- : matrix (1.677)
- : iteration (1.659)
- : error end (1.623)
Mathematical programming, optimization and variational techniques
[edit]Category information
- reference category: Mathematical programming, optimization and variational techniques
- code: 65Kxx (MSC)
- wiki categories: [(Category:Mathematical analysis, 6), (Category:Fields of mathematics, 4), (Category:Analysis, 2)]
Cluster information:
- cluster id: [6109, 9711]
- matching score: 0.35403960571
- purity: 1.0
- matching keywords: [u'mathematical', u'numerical', u'variational', u'optimization', u'analysis']
Definitions:
- : internal function (3.409)
- : euclidean space (2.835)
- : hardy space (2.798)
- : euclidean space (2.783)
- : outer distortion (2.736)
- : outer distortion (2.583)
- : function (2.560)
- : function (2.434)
- : open set (1.937)
Integral equations, integral transforms
[edit]Category information
- reference category: Integral equations, integral transforms
- code: 65Rxx (MSC)
- wiki categories: [(Category:Mathematical analysis, 3), (Category:Functional analysis, 2), (Category:Functions and mappings, 2)]
Cluster information:
- cluster id: [9609]
- matching score: 0.400436391948
- purity: 1.0
- matching keywords: [u'integral', u'numerical', u'equations', u'transforms', u'analysis']
Definitions:
- : stochastic process (3.452)
- : stochastic process (1.939)
- : flow (1.900)
- : bounded linear operator (1.865)
- : wiener process (1.744)
- : cell centres (1.663)
- : action (1.657)
- : distribution (1.654)
- : dimensional case (1.648)
Numerical methods in Fourier analysis
[edit]Category information
- reference category: Numerical methods in Fourier analysis
- code: 65Txx (MSC)
- wiki categories: [(Category:Functional analysis, 6), (Category:Numerical analysis, 5), (Category:Signal processing, 5)]
Cluster information:
- cluster id: [4521, 8900]
- matching score: 0.303644398062
- purity: 1.0
- matching keywords: [u'numerical', u'wavelets', u'analysis', u'transforms', u'fourier']
Definitions:
- : signal (5.495)
- : filter coefficients (1.891)
- : filter (1.882)
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Computer aspects of numerical algorithms
[edit]Category information
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Cluster information:
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Definitions:
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OTHER
[edit]Miscellaneous topics in measure theory
[edit]Category information
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Cluster information:
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Definitions:
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Data management systems
[edit]Category information
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Cluster information:
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Definitions:
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Phase transformations in solids
[edit]Category information
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Cluster information:
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Definitions:
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Geophysical observations, instrumentation, and techniques
[edit]Category information
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Cluster information:
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Definitions:
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Randomness, geometry and discrete structures
[edit]Category information
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Cluster information:
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General
[edit]Category information
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Cluster information:
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Definitions:
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Low-dimensional topology
[edit]Category information
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Cluster information:
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Basic methods
[edit]Category information
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Cluster information:
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Definitions:
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Algebraic combinatorics
[edit]Category information
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Cluster information:
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Definitions:
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Algebraic combinatorics
[edit]Category information
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Cluster information:
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Computer graphics
[edit]Category information
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Cluster information:
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Definitions:
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Interaction design
[edit]Category information
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Cluster information:
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Definitions:
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Low-dimensional topology
[edit]Category information
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Cluster information:
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Electronic structure of bulk materials (see section 73 for electronic structure of surfaces, interfaces, low-dimensional structures, and nanomaterials; for electronic structure of superconductors, see 74.25.Jb)
[edit]Category information
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Cluster information:
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Definitions:
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Graphical methods
[edit]Category information
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Cluster information:
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Definitions:
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Stochastic systems and control
[edit]Category information
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Cluster information:
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Definitions:
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Randomness, geometry and discrete structures
[edit]Category information
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- wiki categories: [(Category:Cartographic projections, 6), (Category:Cartography, 5), (Category:Coordinate systems, 5)]
Cluster information:
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Definitions:
Probability theory on algebraic and topological structures
[edit]Category information
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- wiki categories: [(Category:Theory of probability distributions, 3), (Category:Probability distributions, 3), (Category:Probability theory, 3)]
Cluster information:
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Definitions:
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Connections with logic
[edit]Category information
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- wiki categories: [(Category:Analytic number theory, 3), (Category:Number theory, 3), (Category:Conjectures, 2)]
Cluster information:
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Definitions:
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Properties of specific nuclei listed by mass ranges (an additional heading must be chosen with these entries, where the given mass number limits are, to some degree, arbitrary)
[edit]Category information
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- wiki categories: [(Category:Physics, 4), (Category:Particle physics, 4), (Category:Aesthetics, 1)]
Cluster information:
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Definitions:
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Computational methods
[edit]Category information
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- wiki categories: [(Category:Tensors, 3), (Category:Mathematical methods in general relativity, 2), (Category:Tensors in general relativity, 2)]
Cluster information:
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Definitions:
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Decision theory
[edit]Category information
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- wiki categories: [(Category:Thyroid, 3), (Category:Endocrine procedures, 3), (Category:Biochemistry, 3)]
Cluster information:
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Definitions:
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- : dissociation constant (1.790)
Physical chemistry and chemical physics
[edit]Category information
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- wiki categories: [(Category:Electrodes, 4), (Category:Electricity, 4), (Category:Electrochemistry, 4)]
Cluster information:
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Definitions:
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Close-to-elliptic equations
[edit]Category information
- reference category: NO_REFERENCE_CATEGORY
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Cluster information:
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Definitions:
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Mechanical and acoustical properties of condensed matter
[edit]Category information
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Cluster information:
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Definitions:
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Fundamental astronomy and astrophysics; instrumentation, techniques, and astronomical observations
[edit]Category information
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Cluster information:
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Definitions:
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Physical chemistry and chemical physics
[edit]Category information
- reference category: NO_REFERENCE_CATEGORY
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- wiki categories: [(Category:Physical quantities, 3), (Category:Physical constants, 3), (Category:Constants, 3)]
Cluster information:
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Definitions:
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- : atomic number (3.489)
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Computing methodologies and applications
[edit]Category information
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Cluster information:
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- matching keywords: [u'image', u'computer', u'systems', u'processing', u'graphics']
Definitions:
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Computational methods
[edit]Category information
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- wiki categories: [(Category:General relativity, 3), (Category:Density, 2), (Category:Unsolved problems in physics, 2)]
Cluster information:
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Definitions:
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Homological algebra
[edit]Category information
- reference category: NO_REFERENCE_CATEGORY
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- wiki categories: [(Category:Algebra, 3), (Category:Analytic number theory, 2), (Category:Complex analysis, 2)]
Cluster information:
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Definitions:
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Hamilton-Jacobi theories, including dynamic programming
[edit]Category information
- reference category: NO_REFERENCE_CATEGORY
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- wiki categories: [(Category:Multivariable calculus, 4), (Category:Vectors, 3), (Category:Vector calculus, 3)]
Cluster information:
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Definitions:
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- : scalar-valued function (1.714)
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Properties of specific nuclei listed by mass ranges (an additional heading must be chosen with these entries, where the given mass number limits are, to some degree, arbitrary)
[edit]Category information
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Cluster information:
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Definitions:
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- : classical mechanics (1.645)
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Nuclear engineering and nuclear power studies
[edit]Category information
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- wiki categories: [(Category:Spacecraft propulsion, 3), (Category:Astrodynamics, 3), (Category:Propulsion, 2)]
Cluster information:
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- matching keywords: [u'propulsion', u'engineering', u'types', u'components']
Definitions:
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Operator theory
[edit]Other (nonclassical) types of operator theory
[edit]Category information
- reference category: Other (nonclassical) types of operator theory
- code: 47Sxx (MSC)
- wiki categories: [(Category:Functional analysis, 3), (Category:Theoretical physics, 2), (Category:Operator theory, 2)]
Cluster information:
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- matching keywords: [u'operator', u'linear']
Definitions:
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- : operator (3.199)
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Optics, electromagnetic theory
[edit]General
[edit]Category information
- reference category: General
- code: 78Axx (MSC)
- wiki categories: [(Category:Electromagnetic radiation, 10), (Category:Optics, 7), (Category:Physical optics, 6)]
Cluster information:
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- matching keywords: [u'electromagnetic', u'radiation', u'optical', u'waves', u'antennas', u'optics', u'physical']
Definitions:
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Ordinary differential equations
[edit]General theory
[edit]Category information
- reference category: General theory
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- wiki categories: [(Category:Differential equations, 5), (Category:Theoretical physics, 5), (Category:Differential calculus, 4)]
Cluster information:
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- matching keywords: [u'calculus', u'inverse', u'linear', u'differential', u'transforms', u'equations', u'theoretical', u'systems']
Definitions:
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- : function (mathematics) (1.913)
- : fiber bundle (1.766)
- : function (1.718)
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PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES
[edit]Physics of plasmas and electric discharges
[edit]Category information
- reference category: Physics of plasmas and electric discharges
- code: 52.00.00 (PACS)
- wiki categories: [(Category:Plasma physics, 3), (Category:Waves in plasmas, 3), (Category:Waves, 3)]
Cluster information:
- cluster id: [4193]
- matching score: 0.615388778637
- purity: 1.0
- matching keywords: [u'upper', u'electromagnetic', u'hybrid', u'wave', u'electron', u'waves', u'plasmas', u'physics', u'plasma']
Definitions:
- : plasma frequency (2.674)
- : plasma parameters (1.900)
- : plasma frequency (1.845)
- : light wave (1.845)
- : plasma (physics) (1.816)
- : plasma frequency (1.779)
- : plasma (physics) (1.566)
Partial differential equations
[edit]Close-to-elliptic equations
[edit]Category information
- reference category: Close-to-elliptic equations
- code: 35Hxx (MSC)
- wiki categories: [(Category:Differential equations, 7), (Category:Partial differential equations, 6), (Category:Dynamical systems, 4)]
Cluster information:
- cluster id: [5574, 6687, 6816]
- matching score: 0.441596749631
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- matching keywords: [u'partial', u'differential', u'equations']
Definitions:
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- : current density (4.341)
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- : field (3.581)
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- : density (1.823)
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Probability theory and stochastic processes
[edit]Foundations of probability theory
[edit]Category information
- reference category: Foundations of probability theory
- code: 60Axx (MSC)
- wiki categories: [(Category:Stochastic processes, 10), (Category:Probability theory, 8), (Category:Statistics, 7)]
Cluster information:
- cluster id: [1139, 2659, 4671]
- matching score: 0.495918534389
- purity: 1.0
- matching keywords: [u'processes', u'probability', u'stochastic', u'probabilistic']
Definitions:
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Probability theory on algebraic and topological structures
[edit]Category information
- reference category: Probability theory on algebraic and topological structures
- code: 60Bxx (MSC)
- wiki categories: [(Category:Theory of probability distributions, 3), (Category:Inequalities, 3), (Category:Probability theorems, 3)]
Cluster information:
- cluster id: [1952]
- matching score: 0.635883377417
- purity: 1.0
- matching keywords: [u'stochastic', u'processes', u'theorems', u'probability']
Definitions:
- : random variable (2.458)
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Distribution theory
[edit]Category information
- reference category: Distribution theory
- code: 60Exx (MSC)
- wiki categories: [(Category:Continuous distributions, 14), (Category:Probability distributions, 14), (Category:Exponential family distributions, 5)]
Cluster information:
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- matching score: 0.548760421665
- purity: 1.0
- matching keywords: [u'processes', u'probability', u'infinitely', u'divisible', u'functions', u'stochastic', u'distribution', u'distributions']
Definitions:
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- : triangular distribution (9.286)
- : random variables (6.777)
- : degrees of freedom (statistics) (4.065)
- : location parameter (3.971)
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- : uniform distribution (continuous) (3.077)
- : shape parameters (2.540)
- : scale parameter (2.533)
- : uniform distribution (continuous) (2.530)
- : scale (2.467)
- : scale matrix (2.417)
- : scale matrix (2.417)
- : thinsp (1.900)
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- : heaviside step function (1.865)
- : chi-squared distribution (1.840)
- : l-kurtosis (1.781)
- : continuous distributions (1.743)
- : uniform distribution (continuous) (1.739)
- : incomplete gamma function (1.724)
- : positive-definite matrix (1.707)
- : positive constants (1.707)
- : f-distribution (1.689)
- : rayleigh distribution (1.677)
- : covariance matrix (1.653)
- : laplace distribution (1.653)
- : relation (1.590)
- : scale matrix (1.589)
- : scale matrix (1.589)
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Stochastic analysis
[edit]Category information
- reference category: Stochastic analysis
- code: 60Hxx (MSC)
- wiki categories: [(Category:Stochastic processes, 7), (Category:Stochastic differential equations, 6), (Category:Differential equations, 6)]
Cluster information:
- cluster id: [5052, 6063]
- matching score: 0.721419164148
- purity: 1.0
- matching keywords: [u'calculus', u'processes', u'partial', u'probability', u'differential', u'stochastic', u'equations']
Definitions:
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- : compact support (5.321)
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- : differential equation (3.820)
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- : characteristic operator (2.797)
- : brownian motion (2.625)
- : itō diffusion (2.492)
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- : operator (1.781)
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Quantum theory
[edit]General mathematical topics and methods in quantum theory
[edit]Category information
- reference category: General mathematical topics and methods in quantum theory
- code: 81Qxx (MSC)
- wiki categories: [(Category:Quantum mechanics, 11), (Category:Quantum chemistry, 5), (Category:Electronic structure methods, 5)]
Cluster information:
- cluster id: [2350, 6498, 8945]
- matching score: 0.349509741883
- purity: 1.0
- matching keywords: [u'mechanics', u'mathematical', u'quantum', u'equations', u'analysis', u'techniques']
Definitions:
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- : magnetic quantum number (3.112)
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- : unitary operator (1.690)
- : systems (1.689)
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Quantum field theory; related classical field theories
[edit]Category information
- reference category: Quantum field theory; related classical field theories
- code: 81Txx (MSC)
- wiki categories: [(Category:Theoretical physics, 14), (Category:Particle physics, 14), (Category:Quantum mechanics, 13)]
Cluster information:
- cluster id: [1274, 2256, 2454, 2667]
- matching score: 0.437921005826
- purity: 1.0
- matching keywords: [u'group', u'string', u'geometry', u'theories', u'field', u'objects', u'quantum', u'conformal', u'renormalization']
Definitions:
- : tensor rank (5.360)
- : field (4.726)
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- : determinant (1.754)
- : electromagnetic tensor (1.744)
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- : theory (1.659)
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Real functions
[edit]Functions of one variable
[edit]Category information
- reference category: Functions of one variable
- code: 26Axx (MSC)
- wiki categories: [(Category:Science-related lists, 3), (Category:Mathematics-related lists, 3), (Category:Integrals, 3)]
Cluster information:
- cluster id: [4190]
- matching score: 0.256862861669
- purity: 1.0
- matching keywords: [u'calculus', u'elementary', u'functions', u'integrals', u'special']
Definitions:
- : list (5.816)
- : nonzero (1.790)
Miscellaneous topics
[edit]Category information
- reference category: Miscellaneous topics
- code: 26Exx (MSC)
- wiki categories: [(Category:Mathematical analysis, 9), (Category:Functions and mappings, 8), (Category:Fields of mathematics, 6)]
Cluster information:
- cluster id: [388, 5516, 9677]
- matching score: 0.437176523568
- purity: 1.0
- matching keywords: [u'real', u'calculus', u'functions', u'analysis']
Definitions:
- : function (mathematics) (24.187)
- : function (mathematics) (11.764)
- : sinc function (5.240)
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- : sequence (4.713)
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- : function (4.073)
- : function (3.850)
- : real number (3.664)
- : degree (3.559)
- : function (3.478)
- : final topology (3.402)
- : function (3.275)
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- : normed vector space (2.595)
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- : poly (1.903)
- : neighborhood (1.900)
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- : möbius function (1.766)
- : function (1.712)
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- : function (1.591)
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- : open interval (1.588)
Relativity and gravitational theory
[edit]Computational methods
[edit]Category information
- reference category: Computational methods
- code: 83-08 (MSC)
- wiki categories: [(Category:Special relativity, 9), (Category:Theory of relativity, 9), (Category:Theoretical physics, 9)]
Cluster information:
- cluster id: [551, 3157, 4809, 6387]
- matching score: 0.384375861751
- purity: 1.0
- matching keywords: [u'gravitational', u'relativity', u'special', u'experimental']
Definitions:
- : speed of light (7.772)
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- : electric potential (3.679)
- : electric potential (3.539)
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- : distance (2.728)
- : electric charge (2.688)
- : gravitational constant (2.649)
- : angular momentum (2.642)
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- : dimensions (1.907)
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- : electric current density (1.845)
- : black hole (1.812)
- : time (1.793)
- : event (1.781)
- : event (1.781)
- : boltzmann constant (1.779)
- : magnetic field (1.769)
- : schwarzschild radius (1.749)
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- : harmonic function (1.724)
- : infinity (1.723)
- : initial mass (1.707)
- : acceleration (1.524)
Unified, higher-dimensional and super field theories
[edit]Category information
- reference category: Unified, higher-dimensional and super field theories
- code: 83Exx (MSC)
- wiki categories: [(Category:Theoretical physics, 3), (Category:Theory of relativity, 2), (Category:Theories of gravity, 2)]
Cluster information:
- cluster id: [9582]
- matching score: 0.326339668235
- purity: 1.0
- matching keywords: [u'theories', u'field', u'relativity', u'string', u'cosmology']
Definitions:
- : dimensions (2.536)
Special functions (33-XX deals with the properties of functions as functions)
[edit]Elementary classical functions
[edit]Category information
- reference category: Elementary classical functions
- code: 33Bxx (MSC)
- wiki categories: [(Category:Special functions, 3), (Category:Analytic number theory, 2), (Category:Complex analysis, 2)]
Cluster information:
- cluster id: [1444]
- matching score: 0.423177481488
- purity: 1.0
- matching keywords: [u'functions', u'polygamma', u'gamma', u'special']
Definitions:
- : digamma function (2.385)
- : order (1.939)
- : gamma function (1.845)
- : transfer operator (1.816)
Hypergeometric functions
[edit]Category information
- reference category: Hypergeometric functions
- code: 33Cxx (MSC)
- wiki categories: [(Category:Hypergeometric functions, 15), (Category:Special functions, 15), (Category:Combinatorics, 11)]
Cluster information:
- cluster id: [1054, 2545, 3844]
- matching score: 0.719389899667
- purity: 1.0
- matching keywords: [u'functions', u'groups', u'orthogonal', u'series', u'topics', u'hypergeometric', u'polynomials', u'generalized', u'elliptic', u'special']
Definitions:
- : rational function (12.878)
- : dual hahn polynomials (9.838)
- : q-hahn polynomials (8.534)
- : dual hahn polynomials (7.191)
- : generalized hypergeometric function (5.528)
- : dual hahn polynomials (3.633)
- : suitable function (2.739)
- : constants (2.688)
- : function (2.683)
- : mathematics (2.464)
- : q-hahn polynomials (1.974)
- : series (1.950)
- : hypergeometric series (1.939)
- : type (1.865)
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- : polynomials (1.712)
- : generalized hypergeometric function (1.677)
- : continuous hahn polynomials (1.659)
- : simple poles (1.657)
- : order (1.525)
Other special functions
[edit]Category information
- reference category: Other special functions
- code: 33Exx (MSC)
- wiki categories: [(Category:Combinatorics, 3), (Category:Complex analysis, 3), (Category:Special functions, 3)]
Cluster information:
- cluster id: [5023]
- matching score: 0.464915805598
- purity: 1.0
- matching keywords: [u'functions', u'special']
Definitions:
- : bessel function (1.654)
Statistics
[edit]Parametric inference
[edit]Category information
- reference category: Parametric inference
- code: 62Fxx (MSC)
- wiki categories: [(Category:Statistical inference, 7), (Category:Hypothesis testing, 4), (Category:Statistics, 3)]
Cluster information:
- cluster id: [2861, 9920]
- matching score: 0.396066953603
- purity: 1.0
- matching keywords: [u'tests', u'statistics', u'inference', u'testing', u'hypothesis', u'resampling']
Definitions:
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- : statistics (4.295)
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Multivariate analysis
[edit]Category information
- reference category: Multivariate analysis
- code: 62Hxx (MSC)
- wiki categories: [(Category:Statistics, 14), (Category:Statistical data types, 8), (Category:Data analysis, 8)]
Cluster information:
- cluster id: [819, 5240, 7893]
- matching score: 0.364025347619
- purity: 1.0
- matching keywords: [u'statistics', u'spatial', u'analysis', u'testing', u'correlation', u'hypothesis', u'estimation', u'data', u'association']
Definitions:
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Linear inference, regression
[edit]Category information
- reference category: Linear inference, regression
- code: 62Jxx (MSC)
- wiki categories: [(Category:Statistics, 9), (Category:Regression analysis, 9), (Category:Statistical models, 8)]
Cluster information:
- cluster id: [692, 4261, 5405]
- matching score: 0.426251280322
- purity: 1.0
- matching keywords: [u'statistics', u'inference', u'linear', u'analysis', u'diagnostics', u'variance', u'regression']
Definitions:
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Systems theory; control
[edit]General
[edit]Category information
- reference category: General
- code: 93Axx (MSC)
- wiki categories: [(Category:Coordinate systems, 4), (Category:Cartography, 4), (Category:Systems, 4)]
Cluster information:
- cluster id: [3434]
- matching score: 0.295205721387
- purity: 1.0
- matching keywords: [u'mathematical', u'systems']
Definitions:
- : coordinate system (7.644)
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- : direction (3.729)
- : form (2.926)
- : form (2.926)
- : moon (2.894)
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- : mcgraw-hill (1.926)
- : cartesian coordinates (1.579)
- : cartesian coordinate system (1.556)
Stochastic systems and control
[edit]Category information
- reference category: Stochastic systems and control
- code: 93Exx (MSC)
- wiki categories: [(Category:Control theory, 3), (Category:Cybernetics, 3), (Category:Systems theory, 3)]
Cluster information:
- cluster id: [6439]
- matching score: 0.67363017829
- purity: 1.0
- matching keywords: [u'control', u'stochastic', u'systems']
Definitions:
- : nonsingular (1.724)
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Theory of computation
[edit]Design and analysis of algorithms
[edit]Category information
- reference category: Design and analysis of algorithms
- code: NO_CODE (ACM)
- wiki categories: [(Category:Computational complexity theory, 6), (Category:Structural complexity theory, 5), (Category:Theory of computation, 4)]
Cluster information:
- cluster id: [1477, 4240, 8631, 9087]
- matching score: 0.575616074441
- purity: 1.0
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Definitions:
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Topological groups, Lie groups
[edit]Lie groups
[edit]Category information
- reference category: Lie groups
- code: 22Exx (MSC)
- wiki categories: [(Category:Lie algebras, 10), (Category:Lie groups, 8), (Category:Representation theory of Lie groups, 7)]
Cluster information:
- cluster id: [450, 1494, 3819, 8632, 6342]
- matching score: 0.628314735831
- purity: 1.0
- matching keywords: [u'lie', u'group', u'linear', u'nilpotent', u'verma', u'topological', u'algebraic', u'analysis', u'groups', u'representation', u'algebras', u'physics', u'properties', u'semisimple']
Definitions:
- : lie algebra (16.000)
- : subgroup (11.003)
- : weyl group (7.311)
- : weight (representation theory) (7.243)
- : symbol (5.392)
- : weyl group (4.243)
- : subgroup (3.732)
- : root (3.630)
- : representation of a lie algebra (3.623)
- : dominant weight (2.751)
- : holomorphic line bundle (2.736)
- : complex semisimple lie group (2.628)
- : 1-dimensional lie algebra (2.596)
- : borel subgroup (2.563)
- : vector space (2.366)
- : edge lengths (1.875)
- : angular momenta (1.875)
- : inner product (1.845)
- : semisimple lie algebra (1.834)
- : edge lengths (1.801)
- : module (mathematics) (1.779)
- : field (1.756)
- : commute (1.756)
- : coroot (1.749)
- : operators ad (1.749)
- : semisimple lie algebra (1.746)
- : weight_(representation_theory) (1.724)
- : homomorphism (1.724)
- : module (mathematics) (1.723)
- : abelian lie algebra (1.701)
- : angular momenta (1.691)
- : root reflection (1.689)
- : weight vector (1.659)
- : symmetric operators (1.657)
- : compact subgroup (1.641)
- : global minimum (1.618)
- : modules (1.599)