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ABSTRACT
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- In law, an abstract is a brief statement that contains the most important points of a long legal document or of several related legal papers.
- It spurred Darwin to set aside the "big species book" he was drafting and quickly write an abstract of it, which was published in 1859 as On the Origin of Species.
- He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered the field complex analysis, and the study of permutation groups in abstract algebra.
- Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.
- In computer science, an abstract data type (ADT) is a mathematical model for data types, defined by its behavior (semantics) from the point of view of a user of the data, specifically in terms of possible values, possible operations on data of this type, and the behavior of these operations.
- In mathematics, particularly abstract algebra, an algebraic closure of a field K is an algebraic extension of K that is algebraically closed.
- In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative.
- The theory of computation concerns abstract models of computation and general classes of problems that can be solved using them.
- A concept is an abstract idea that serves as a foundation for more concrete principles, thoughts, and beliefs.
- In mathematics, particularly in the area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is mapped to itself by every automorphism of the parent group.
- Traits may be physical, such as roads or land masses, or may be abstract, such as toponyms or political boundaries.
- Key contributions include abstract data types, call-by-sharing, iterators, multiple return values (a form of parallel assignment), type-safe parameterized types, and type-safe variant types.
- Such dual figures remain combinatorial or abstract polyhedra, but not all can also be constructed as geometric polyhedra.
- In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group.
- His Arithmetica influenced the development of algebra by Arabs, and his equations influenced modern work in both abstract algebra and computer science.
- His work laid the foundations for Galois theory and group theory, two major branches of abstract algebra.
- Floating Point is an album by John McLaughlin, released in 2008 through the record label Abstract Logix.
- It is an abstract machine that can be in exactly one of a finite number of states at any given time.
- In abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, or the first isomorphism theorem, relates the structure of two objects between which a homomorphism is given, and of the kernel and image of the homomorphism.
- The interaction of subatomic particles can be complex and difficult to understand; Feynman diagrams give a simple visualization of what would otherwise be an arcane and abstract formula.
- In abstract algebra, a group isomorphism is a function between two groups that sets up a bijection between the elements of the groups in a way that respects the given group operations.
- In mathematics, in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.
- It is often useful to consider the group as an abstract group, and to say that one has a group action of the abstract group that consists of performing the transformations of the group of transformations.
- One proposed distinction is between the abstract and absolute knowledge (gnosis) and a practical or more literal knowledge (epignosis).
- Bergson is known for his arguments that processes of immediate experience and intuition are more significant than abstract rationalism and science for understanding reality.
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