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The informative abstract, also known as the complete abstract, is a compendious summary of a paper's substance and its background, purpose, methodology, results, and conclusion. [ 23 ] [ 24 ] Usually between 100 and 200 words, the informative abstract summarizes the paper's structure, its major topics and key points. [ 23 ]
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 ...
In mathematics, many types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures may be viewed in different ways, however the common starting point of algebra texts is that an algebraic object incorporates one or more sets with one or more binary operations or unary operations satisfying a ...
Abstraction is an ongoing process in mathematics and the historical development of many mathematical topics exhibits a progression from the concrete to the abstract. For example, the first steps in the abstraction of geometry were historically made by the ancient Greeks, with Euclid's Elements being the earliest extant documentation of the ...
A graphical abstract (or visual abstract [1]) is a graphical or visual equivalent of a written abstract. [2] [3] Graphical abstracts are a single image and are designed to help the reader to quickly gain an overview on a scholarly paper, research article, thesis or review: and to quickly ascertain the purpose and results of a given research, as well as the salient details of authors and journal.
Consequently, there is a strong recent trend toward developing formal requirements for abstracts, most often structured on the IMRAD pattern, and often with strict additional specifications of topical content items that should be considered for inclusion in the abstract. [16] Such abstracts are often referred to as structured abstracts. [17]
The abstract properties are those that are visible to client code that makes use of the data type—the interface to the data type—while the concrete implementation is kept entirely private, and indeed can change, for example to incorporate efficiency improvements over time. The idea is that such changes are not supposed to have any impact on ...
An outline, also called a hierarchical outline, is a list arranged to show hierarchical relationships and is a type of tree structure. An outline is used [1] to present the main points (in sentences) or topics of a given subject. Each item in an outline may be divided into additional sub-items.