Tables of Notations and Symbols
A word on notation
“Mathematics is often considered a difficult and mysterious science, because of the numerous symbols which it employs. Of course, nothing is more incomprehensible than a symbolism which we do not understand. Also a symbolism, which we only partially understand and are unaccustomed to use, is difficult to follow … So in mathematics, granted that we are giving any serious attention to mathematical ideas, the symbolism is invariably an immense simplification. It is not only of practical use, but is of great interest. For it represents an analysis of the ideas of the subject and an almost pictorial representation of their relations to each other” [WHI 11; sic, Chapter V: The Symbolism of Mathematics].
A mathematical notation is a writing system of symbols used for recording concepts in Mathematics searching for the notational simplicity and meaningfulness. Ideally, it should emphasize the most important features of a mathematical expression or statement, while downplaying the other one. It should be precise and unambiguous, compatible and consistent with notation already employed in the literature, so that the readers who are already familiar with prior notation will adapt easily and will not be confused. Potential conflicts between symbols must be avoided.
The author hopes that these objectives are met as far as possible. The ...
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