derived types - definition. What is derived types
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%ما هو (من)٪ 1 - تعريف

HOMOLOGICAL CONSTRUCTION
Derived categories; Derived Categories

derived type         
WIKIMEDIA DISAMBIGUATION PAGE
Type aliasing; Derived type (disambiguation)
<programming> A type constructed from primitive types or other derived types using a type constructor function. This term is usually applied to procedural languages such as C or Ada. C's derived types are the array, function, pointer, structure, and union. Compare derived class. (2001-09-14)
List of human cell types derived from the germ layers         
WIKIMEDIA LIST ARTICLE
List of human cell types derived primarily from mesoderm; List of human cell types derived primarily from ectoderm; List of human cell types derived primarily from endoderm
This is a list of cells in humans derived from the three embryonic germ layers – ectoderm, mesoderm, and endoderm.
Patient derived xenograft         
MODEL OF CANCER
Patient derived tumor xenografts; PDTX; Patient derived tumor xenograft; Patient-derived xenograft; Patient-derived tumor xenograft
Patient derived xenografts (PDX) are models of cancer where the tissue or cells from a patient's tumor are implanted into an immunodeficient or humanized mouse. PDX models are used to create an environment that allows for the natural growth of cancer, its monitoring, and corresponding treatment evaluations for the original patient.

ويكيبيديا

Derived category

In mathematics, the derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on A. The construction proceeds on the basis that the objects of D(A) should be chain complexes in A, with two such chain complexes considered isomorphic when there is a chain map that induces an isomorphism on the level of homology of the chain complexes. Derived functors can then be defined for chain complexes, refining the concept of hypercohomology. The definitions lead to a significant simplification of formulas otherwise described (not completely faithfully) by complicated spectral sequences.

The development of the derived category, by Alexander Grothendieck and his student Jean-Louis Verdier shortly after 1960, now appears as one terminal point in the explosive development of homological algebra in the 1950s, a decade in which it had made remarkable strides. The basic theory of Verdier was written down in his dissertation, published finally in 1996 in Astérisque (a summary had earlier appeared in SGA 4½). The axiomatics required an innovation, the concept of triangulated category, and the construction is based on localization of a category, a generalization of localization of a ring. The original impulse to develop the "derived" formalism came from the need to find a suitable formulation of Grothendieck's coherent duality theory. Derived categories have since become indispensable also outside of algebraic geometry, for example in the formulation of the theory of D-modules and microlocal analysis. Recently derived categories have also become important in areas nearer to physics, such as D-branes and mirror symmetry.