a class invariant (or type invariant) is an invariant used for constraining objects of a class. Methods of the class should preserve the invariant. The...
12 KB (1,587 words) - 09:37, 9 January 2025
In mathematics, an invariant is a property of a mathematical object (or a class of mathematical objects) which remains unchanged after operations or transformations...
24 KB (2,787 words) - 13:39, 3 April 2025
then f {\displaystyle f} is said to be class invariant under ∼ , {\displaystyle \,\sim \,,} or simply invariant under ∼ . {\displaystyle \,\sim .} This...
17 KB (2,417 words) - 17:27, 23 May 2025
Look up invariance, invariant, or invariants in Wiktionary, the free dictionary. Invariant and invariance may refer to: Invariant (computer science),...
2 KB (261 words) - 04:04, 9 March 2023
In computer science, a loop invariant is a property of a program loop that is true before (and after) each iteration. It is a logical assertion, sometimes...
17 KB (2,426 words) - 13:05, 6 February 2025
contracts are concepts of class invariant. The class invariant guarantees (for the local class) that the state of the class will be maintained within...
15 KB (1,727 words) - 10:04, 25 April 2025
describe a particular language behavior. In RAII, holding a resource is a class invariant, and is tied to object lifetime. Resource allocation (or acquisition)...
17 KB (2,032 words) - 15:22, 12 February 2025
of state is necessary for being able to enforce the invariants of the class. The behavior of a class or its instances is defined using methods. Methods...
46 KB (5,205 words) - 14:25, 1 May 2025
(such as those that would be loaded onto class I MHC). The invariant chain also facilitates the export of class II MHC from the ER to the Golgi apparatus...
17 KB (2,119 words) - 03:03, 6 March 2025
declaring class. They have the task of initializing the object's data members and of establishing the invariant of the class, failing if the invariant is invalid...
35 KB (4,271 words) - 04:13, 29 May 2025
conditions in a given symplectic manifold. The GW invariants may be packaged as a homology or cohomology class in an appropriate space, or as the deformed cup...
12 KB (1,873 words) - 17:48, 7 April 2025
Equivalence relation (section Equivalence class)
morphism for ∼ , {\displaystyle \,\sim ,} a class invariant under ∼ , {\displaystyle \,\sim ,} or simply invariant under ∼ . {\displaystyle \,\sim .} This...
31 KB (4,473 words) - 10:22, 23 May 2025
In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots...
10 KB (1,278 words) - 16:18, 12 January 2025
Gromov–Witten invariants. Chern classes were introduced by Shiing-Shen Chern (1946). Chern classes are characteristic classes. They are topological invariants associated...
42 KB (7,508 words) - 13:07, 21 April 2025
Eiffel (programming language) (category Class-based programming languages)
contract (DbC), in which assertions, preconditions, postconditions, and class invariants are employed to help ensure program correctness without sacrificing...
49 KB (6,083 words) - 22:28, 25 February 2025
Graph property (redirect from Graph invariant)
"invariant". More formally, a graph property is a class of graphs with the property that any two isomorphic graphs either both belong to the class, or...
10 KB (1,182 words) - 09:40, 26 April 2025
contract. Design by contract also includes notions of postcondition and class invariant. The precondition for any routine defines any constraints on object...
5 KB (618 words) - 16:38, 30 August 2023
In the field of mathematics known as functional analysis, the invariant subspace problem is a partially unresolved problem asking whether every bounded...
18 KB (2,297 words) - 15:00, 13 May 2025
symmetric holomorphic function on the complex upper half-plane. It is invariant under the fractional linear action of the congruence group Γ(2), and generates...
22 KB (3,503 words) - 15:53, 9 February 2025
MR 0184221. Fox, Ralph H.; Smythe, Neville F. (1964). "An ideal class invariant of knots". Bulletin of the American Mathematical Society. 15 (5): 707–709...
8 KB (826 words) - 12:20, 20 January 2025
In mathematics, Felix Klein's j-invariant or j function is a modular function of weight zero for the special linear group SL ( 2 , Z ) {\displaystyle...
27 KB (4,738 words) - 05:27, 2 May 2025
discussed below. A natural approach is to make holding a resource be a class invariant: resources are acquired during object creation (specifically initialization)...
25 KB (3,313 words) - 15:15, 3 February 2025
Periodic table of topological insulators and topological superconductors (redirect from Periodic table of topological invariants)
the topological invariant of the topological insulators and topological superconductors, given a dimension and discrete symmetry class. The ten possible...
22 KB (2,656 words) - 09:32, 4 April 2025
CLIP (protein) (redirect from Class II-associated invariant chain peptide)
CLIP or Class II-associated invariant chain peptide is the part of the invariant chain (Ii) that binds to the peptide binding groove of MHC class II and...
5 KB (470 words) - 22:02, 25 May 2025
In mathematics, the Arf invariant of a nonsingular quadratic form over a field of characteristic 2 was defined by Turkish mathematician Cahit Arf (1941)...
19 KB (3,422 words) - 02:57, 13 May 2025
CD74 (redirect from Invariant chain)
HLA class II histocompatibility antigen gamma chain also known as HLA-DR antigens-associated invariant chain or CD74 (Cluster of Differentiation 74), is...
19 KB (2,221 words) - 23:09, 7 April 2025
Binary quadratic form (redirect from Class number (binary quadratic forms))
into equivalence classes, called classes of quadratic forms. A class invariant can mean either a function defined on equivalence classes of forms or a property...
28 KB (4,936 words) - 19:57, 21 March 2024
geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a certain discrete...
17 KB (2,383 words) - 08:19, 30 July 2024
In number theory, the class number formula relates many important invariants of an algebraic number field to a special value of its Dedekind zeta function...
9 KB (1,302 words) - 16:23, 17 September 2024
invariant of an algebra is an invariant attached to a Brauer class of algebras over a field. The concept is named after Helmut Hasse. The invariant plays...
6 KB (771 words) - 09:13, 6 January 2023