Search results

...ss slowly, allowing more time for gravity to perturb the orbits of the two objects. For large enough asteroids this distance can be as large as ~0.1 AU, for == Mathematical analysis == ...

In [[mathematical morphology]] and [[digital image processing]], a '''top-hat transform''' is ==Mathematical definitions== ...

{{Short description|Type of mathematical category}} #the objects are the natural numbers, ...

...ot minimal amount of symmetry), '''polystable''' (being made out of stable objects), or '''unstable''' (having too much symmetry, the opposite of stable). ...by constructing [[moduli space]]s of them, because the symmetries of these objects cause the formation of [[Singularity_(mathematics)|singularities]], and obs ...

* [[Walter Rudin]], ''Principles of Mathematical Analysis'', 3rd Edition, Chapter 2, exercise 27 [[Category:Mathematical objects]] ...

{{about|a broad mathematical concept|the point where roads meet|Intersection (road)|other uses}} ...(mathematics)|space]]. It simply means the overlapping area of two or more objects or geometries. ...

.../math> is a class of all morphisms whose ranges belong to a given class of objects <math>L</math> in <math>K</math> it is convenient to replace <math>\Gamma</ .../math> is a class of all morphisms whose ranges belong to a given class of objects <math>M</math> in <math>K</math> it is convenient to replace <math>\Phi</ma ...

...on|On the structure of a geometric object built by joining other geometric objects}} ...re of a geometric object built by using as building blocks other geometric objects, belonging to a well defined [[Class (mathematics)|class]]. Intuitively, it ...

...oevaluation and evaluation, which are part of the definition of dualizable objects.<ref>{{harvtxt|Ponto|Shulman|2014|loc=Def. 2.2}}</ref> ...spaces]] over a fixed [[field (mathematics)|field]] ''k'', the dualizable objects are precisely the [[dimension (vector space)|finite-dimensional]] [[vector ...

...motivating the development of [[Structuralism (philosophy of mathematics)|mathematical structuralism]].<ref>Stewart Shapiro (1997) ''Philosophy of Mathematics: St ..., as revealing the [[intrinsic properties]] of these abstract mathematical objects, is impossible.<ref name= "What Numbers Could Not Be" /> As a result, the ...

...ooks.google.com/books?id=eUmDAwAAQBAJ&pg=PA18|year=2011|publisher=American Mathematical Soc.|isbn=978-0-8218-5195-1|page=18}}</ref><ref>{{cite arXiv|last1=Ayala|fi ...math>-valued symmetric monoidal functors of the cobordism category and the objects of <math>\mathcal {C}</math>. ...

In the [[mathematics|mathematical]] field of [[representation theory]], a '''highest-weight category''' is a * Λ also indexes a collection of objects {''A''(''λ'')} of objects of '''C''' such that there exist embeddings ''S''(''λ'')&nbsp;→&nbsp;''A''( ...

==Tate objects== Tate objects can be defined in the context of any [[exact category]] ''C''.<ref>{{harvtx ...

...ombinatorial modelling''' is the process which lets us identify a suitable mathematical model to reformulate a problem. These combinatorial models will provide, th ...of a set of ''n'' elements. It is needed to know if the order in which the objects are selected matters and whether an object can be selected more than once o ...

{{Short description|Mathematical concept}} ...initely presented objects''', or '''objects of finite presentation''', are objects in a [[category (mathematics)|category]] satisfying a certain finiteness co ...

...rdered pair]]s of unordered pairs}} of objects, including pairs where both objects are the same: *An example from [[mathematical chemistry]] is given by the numbers of [[Orbital overlap|overlap integrals] ...

...egory''' provided that every object decomposes into a finite direct sum of objects having local endomorphism rings. Equivalently, ''C'' has [[split idempotent ...''indecomposable'' if it is not isomorphic to a direct sum of two nonzero objects. In a Krull–Schmidt category we have that ...

The theory of '''ologs''' is an attempt to provide a rigorous mathematical framework for knowledge representation, construction of scientific models a ==Mathematical formalism== ...

{{Short description|Cyclic order and one-to-one pairing of a set of objects}} ...ose objects. Chord diagrams are conventionally visualized by arranging the objects in their order around a [[circle]], and drawing the pairs of the matching a ...

...ence''' is a notion from [[homotopy theory]] that in some sense identifies objects that have the same "shape". This notion is formalized in the [[axiom]]atic ...oms. The associated [[homotopy category]] of a model category has the same objects, but the morphisms are changed in order to make the weak equivalences into ...