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Analysis (pl.: analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though analysis as a formal concept is a relatively recent development.
A synonym is a word, morpheme, or phrase that means precisely or nearly the same as another word, morpheme, or phrase in a given language. [2] For example, in the English language , the words begin , start , commence , and initiate are all synonyms of one another: they are synonymous .
A formal analysis is an academic method in art history and criticism for analyzing works of art: "In order to perceive style, and understand it, art historians use 'formal analysis'. This means they describe things very carefully.
Rudolph Carnap defined the meaning of the adjective formal in 1934 as follows: "A theory, a rule, a definition, or the like is to be called formal when no reference is made in it either to the meaning of the symbols (for example, the words) or to the sense of the expressions (e.g. the sentences), but simply and solely to the kinds and order of the symbols from which the expressions are ...
In computer science, formal methods are mathematically rigorous techniques for the specification, development, analysis, and verification of software and hardware systems. [1] The use of formal methods for software and hardware design is motivated by the expectation that, as in other engineering disciplines, performing appropriate mathematical ...
The formal cause of a change or movement. This is a change or movement caused by the arrangement, shape, or appearance of the thing changing or moving. Aristotle says, for example, that the ratio 2:1, and number in general, is the formal cause of the octave. Efficient, or agent The efficient or moving cause of a change or movement.
The skull fragments, teeth, jaws and other remains unearthed at different sites across the country are clearly remnants of archaic hominins — the formal name for species in the human lineage ...
A formal system is an abstract structure and formalization of an axiomatic system used for deducing, using rules of inference, theorems from axioms by a set of inference rules. [1] [non-tertiary source needed] [2] In 1921, David Hilbert proposed to use formal systems as the foundation of knowledge in mathematics. [3]
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