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- In [[mathematics]] and [[computer science]], an '''event structure''' describes sequences of events that can be triggered by combinations of o ...hese formalizations is given by Glynn Winskel. Winskel formalizes an event structure can be formalized as a triple <math>(E,\mathcal{C},\vdash)</math>, in which ...4 KB (550 words) - 23:56, 6 July 2024
- ...cs)|scheme]] structure. If a topological space is endowed with a Kuranishi structure, then locally it can be identified with the zero set of a smooth map <math> A '''Kuranishi structure''' on <math>X</math> of dimension <math>k</math> is a collection ...6 KB (1,027 words) - 06:47, 7 August 2024
- In [[algebraic geometry]], a '''log structure''' provides an abstract context to study [[semistable scheme]]s, and in par ...lusion <math> j \colon U \to X </math>, which likens ''X'' with this extra structure to a variety with boundary (corresponding to <math> D = X - U </math>).<ref ...5 KB (762 words) - 18:02, 28 July 2023
- ...guments]] in a space of “controlled distributions” over a fixed regularity structure. The space of controlled distributions lives in an analytical/algebraic spa A '''regularity structure''' is a triple <math>\mathcal{T} = (A,T,G)</math> consisting of: ...5 KB (826 words) - 19:49, 27 January 2025
- In mathematics, a '''quaternionic structure''' or {{math|'''''Q'''''}}'''-structure''' is an axiomatic system that abstracts the concept of a [[quaternion alge A ''quaternionic structure'' is a triple {{math|(''G'', ''Q'', ''q'')}} where {{math|''G''}} is an [[e ...2 KB (240 words) - 10:36, 24 May 2022
- {{Short description|Algebraic structure}} In mathematics, a '''J-structure''' is an [[algebraic structure]] over a [[field (algebra)|field]] related to a [[Jordan algebra]]. The co ...10 KB (1,515 words) - 23:39, 1 September 2024
- ...rs is a Lie algebra isomorphic to the Lie algebras of SU(2) and SO(3). The structure constants are <math>f^{abc} = \epsilon^{abc}</math>, where <math>\epsilon^{ In [[mathematics]], the '''structure constants''' or '''structure coefficients''' of an [[algebra over a field]] are the coefficients of the ...20 KB (3,051 words) - 19:08, 9 October 2024
- ...metric structure generalizing both [[symplectic structure]]s and [[Poisson structure]]s, and having several applications to mechanics. It is based on the notion ...a real vector space, and ''<math>V^*</math>'' its dual. A (linear) ''Dirac structure'' on ''<math>V</math>'' is a linear subspace ''<math>D</math>'' of <math>V\ ...7 KB (986 words) - 16:16, 18 August 2024
- ...dle]], which is the [[Hilbert space]] bundle associated to the metaplectic structure via the metaplectic representation, giving rise to the notion of a '''sympl A '''metaplectic structure''' <ref>{{citation | last1=Habermann|first1=Katharina|last2=Habermann|first ...6 KB (852 words) - 01:14, 26 June 2021
- * An [[algebraic structure]] <math>X</math> is said to be <math>I</math>-'''graded''' for an [[index s ...only <math>\N</math> or <math>\Z</math>, and may be required to have extra structure depending on the type of <math>X</math>. ...7 KB (1,141 words) - 22:22, 19 July 2024
- ...er}}</ref> Any foliation on a manifold induces a special kind of Haefliger structure, which uniquely determines the foliation. A codimension-''<math>q</math>'' '''Haefliger structure''' on a topological space ''<math>X</math>'' consists of the following data ...6 KB (958 words) - 22:55, 18 August 2023
- ...entary components, referred to '''coherent turbulent structures'''. Such a structure must have temporal coherence, i.e. it must persist in its form for long eno ...is generally accepted that the best way to characterize the boundary of a structure is by identifying and defining the boundary of the coherent vorticity.<ref ...18 KB (2,606 words) - 13:30, 8 February 2025
- ...L-homeomorphic]] or [[homeomorphic]]). There are different versions of the structure set depending on the [[category (mathematics)|category]] (DIFF, PL or TOP) The '''structure set''' <math>\mathcal{S}^h (X)</math> is the set of equivalence classes of ...5 KB (841 words) - 18:36, 13 March 2018
- A '''kinetic data structure''' is a [[data structure]] used to track an attribute of a geometric system that is moving continuou For example, a [[kinetic convex hull]] data structure maintains the convex hull of a group of <math>n</math> moving points. The d ...8 KB (1,207 words) - 23:54, 19 May 2023
- ...cle correlations and their time evolution. It is a generalization of the [[structure factor]] that considers correlations in both space ''and'' time. Experiment The dynamic structure factor is most often denoted <math>S(\vec{k},\omega)</math>, where <math>\v ...4 KB (587 words) - 10:22, 6 December 2022
- ..., one readily identifies coherent features, but it is often the underlying structure creating these features that is of interest. ...3D ABC.tiff|500px|center|thumb|Figure 11: An elliptic Lagrangian Coherent Structure (or LCS, in green, on the left) and its advected position under the flow ma ...71 KB (10,439 words) - 18:22, 24 January 2025
- ...e characteristics are borne out by the experimental analyses of the photon structure function. ...s according to Heisenberg's [[uncertainty principle]]. The intrinsic quark structure of the target photon beam is revealed by observing characteristic patterns ...16 KB (2,237 words) - 05:51, 2 March 2025
- In [[computer science]], an '''oblivious data structure''' is a data structure that gives no information about the sequence or pattern of the operations t ...ive out the information about [[encryption]] keys. With the Oblivious data structure comes in practical, the secure processor can obfuscate memory access patter ...9 KB (1,410 words) - 13:13, 29 July 2024
- ...een groups. However, mating tends to be non-random to some degree, causing structure to arise. For example, a barrier like a river can separate two groups of th ...study|genome wide association studies]] (GWAS). By tracing the origins of structure, it is also possible to study the [[genetic ancestry]] of groups and indivi ...29 KB (4,001 words) - 08:32, 10 February 2025
- ...d to represent the "direction" parameters of curves, just as the Cartesian structure tensor detects and represents the direction in Cartesian coordinates. Curve ...ented as [[convolution]]s in Cartesian coordinates applied to the ordinary structure tensor when <math>\xi,\eta</math> pair the real and imaginary parts of an [ ...12 KB (1,803 words) - 06:24, 29 May 2024
Page text matches
- {{Short description|Kinetic data structure}} ...nts under motion in sorted order. It is used as a kinetic predecessor data structure, and as a component in more complex kinetic data structures such as [[kinet ...3 KB (546 words) - 12:36, 18 August 2023
- A '''kinetic smallest enclosing disk''' data structure is a [[kinetic data structure]] that maintains the [[Smallest circle problem|smallest enclosing disk]] of In 2 dimensions, the best known kinetic smallest enclosing disk data structure uses the farthest point delaunay triangulation of the point set to maintain ...3 KB (475 words) - 00:29, 19 October 2015
- {{Short description|Mathematical structure}} ...h>A</math>-bimodule morphism and induces an internal <math>A</math>-coring structure on <math>H</math>. One further requires (rather involved) compatibility req ...2 KB (286 words) - 17:00, 20 December 2023
- {{Infobox data structure | type = [[Heap (data structure)|Heap]]/[[priority queue]] ...2 KB (317 words) - 18:49, 7 November 2024
- {{Short description|Kinetic data structure}} ...s a basis for a responsive, compact and efficient kinetic minimum box data structure. ...3 KB (483 words) - 16:39, 25 April 2023
- ...n employing [[direct methods (crystallography)|direct methods]] to solve a structure. Its formulation is the following: ...ctor]] for a beam can be calculated as the sum of the products of pairs of structure factors whose indices sum to the desired values of <math>h,k,l</math>.{{r|s ...2 KB (300 words) - 03:12, 18 December 2024
- {{Short description|Data structure}} ...termine the "winner" (maximum or minimum element), with the [[Kinetic data structure#Certificates Approach|certificates]] enforcing the winner of each "match" i ...4 KB (616 words) - 19:00, 3 January 2023
- A '''Cartesian monoid''' is a [[monoid]], with additional structure of pairing and projection operators. It was first formulated by [[Dana Scot A Cartesian monoid is a [[Structure (mathematical logic)|structure]] with [[Signature (logic)|signature]] <math>\langle *,e,(-,-),L,R\rangle</ ...1 KB (201 words) - 00:04, 2 August 2023
- structure, and that the keys have no relation to their paired values. ...ance of the data structure is within a constant factor of the optimal data structure. Key-independent optimality is related to [[Optimal binary search tree|dyn ...2 KB (329 words) - 13:53, 30 September 2019
- ...sive]], [[kinetic data structure#Performance#|compact]] and [[Kinetic data structure#Performance|efficient]]. ...d. The upper and lower envelopes can be maintained using the standard data structure for [[kinetic convex hull]]. The maximum distance between pairs of antipoda ...5 KB (730 words) - 01:39, 27 December 2024
- In mathematics, a '''quaternionic structure''' or {{math|'''''Q'''''}}'''-structure''' is an axiomatic system that abstracts the concept of a [[quaternion alge A ''quaternionic structure'' is a triple {{math|(''G'', ''Q'', ''q'')}} where {{math|''G''}} is an [[e ...2 KB (240 words) - 10:36, 24 May 2022
- <math> p_1</math> - percentage structure of one set, <math> p_2</math> - percentage structure of second set. ...946 bytes (124 words) - 15:07, 22 October 2023
- ...gory ''S'' to ''C''. It preserves limit. The objects in the image have the structure of infinite loop spaces; whence, the notion is a generalization of the corr ...ucture of its homotopy category. Let ''C'' be a stable ∞-category with a t-structure. Then every filtered object <math>X(i), i \in \mathbb{Z}</math> in ''C'' gi ...2 KB (271 words) - 22:35, 25 January 2023
- ...nsive]], [[Kinetic data structure#Performance|compact]] and [[Kinetic data structure#Performance|efficient]]. ...y. The upper and lower envelopes can be maintained using the standard data structure for [[kinetic convex hull]]. The minimum distance between edge-point pairs ...5 KB (767 words) - 07:27, 23 May 2021
- ...ding assignment of a truth value to each sentence in the language for that structure (the valuation proper). The interpretation must be a [[homomorphism]], whil ...ant, function, and relation symbols in the language. Corresponding to each structure is a unique truth assignment for all [[sentence (mathematical logic)|senten ...3 KB (412 words) - 15:06, 13 August 2024
- ...963. Generative Grammars without Transformation Rules: A Defense of Phrase Structure. ''Language'' 39(4), 597-616.</ref> DCPSGs describe a superset of the [[Con We can characterize the gross sentence structure of a VSO language such as [[Irish language|Irish]] with the following rules ...3 KB (437 words) - 22:09, 20 February 2022
- {{Short description|Kinetic data structure}} A '''kinetic minimum spanning tree''' is a [[kinetic data structure]] that maintains the [[minimum spanning tree]] (MST) of a graph whose edge ...3 KB (423 words) - 07:43, 29 April 2024
- A '''kinetic Euclidean minimum spanning tree''' is a [[kinetic data structure]] that maintains the [[Euclidean minimum spanning tree]] (EMST) of a set '' ...MST in [[Polylogarithmic time|polylog time]] per event. Their kinetic data structure handles <math>O(n*m)</math> events, where m is the number of all changes to ...2 KB (260 words) - 01:37, 23 July 2023
- == Graded ring structure == ...ructure of ''A'' gives <math>\pi_* A = \oplus_{i \ge 0} \pi_i A</math> the structure of a graded-commutative graded ring as follows. ...3 KB (522 words) - 14:12, 31 October 2024
- ...es|right uniform structure]] and the [[Uniform space#Examples|left uniform structure]] of <math>G</math> are the same.<ref name="Arhangel’skii">{{cite book|date ...to G</math> is [[uniformly continuous]], with respect to the right uniform structure of <math>G</math>.<ref name="Arhangel’skii" />{{rp|79, Exercise 1.8.c}} ...3 KB (468 words) - 09:15, 18 November 2024