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Design patterns in computer science represent abstract solutions to common software design problems. While they are not abstractions in the same sense as data structures or mathematical concepts, design patterns provide a high-level language for software developers to communicate and implement solutions in a consistent and recognizable way.
Abstract objects are most commonly used in philosophy, particularly metaphysics, and semantics. They are sometimes called abstracta in contrast to concreta. The term abstract object is said to have been coined by Willard Van Orman Quine. [5] Abstract object theory is a discipline that studies the nature and role of abstract objects. It holds ...
Abstraction is a fundamental concept in computer science and software engineering, especially within the object-oriented programming paradigm. [3] Examples of this include: the usage of abstract data types to separate usage from working representations of data within programs; [4]
For example, it is difficult to agree to whether concepts like God, the number three, and goodness are real, abstract, or both. An approach to resolving such difficulty is to use predicates as a general term for whether things are variously real, abstract, concrete, or of a particular property (e.g., good ).
For example, geometry has its origins in the calculation of distances and areas in the real world, and algebra started with methods of solving problems in arithmetic. Abstraction is an ongoing process in mathematics and the historical development of many mathematical topics exhibits a progression from the concrete to the abstract.
In computer science, an abstract data type (ADT) is a mathematical model for data types, defined by its behavior 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 computer science and mathematics, confluence is a property of rewriting systems, describing which terms in such a system can be rewritten in more than one way, to yield the same result. This article describes the properties in the most abstract setting of an abstract rewriting system .
Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras.The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating formulae and algebraic expressions involving unknowns and ...