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In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
In summary, a set of the real numbers is an interval, if and only if it is an open interval, a closed interval, or a half-open interval. [ 4 ] [ 5 ] A degenerate interval is any set consisting of a single real number (i.e., an interval of the form [ a , a ] ). [ 6 ]
Open interval: If a and b are real numbers, , or +, and <, then ], [denotes the open interval delimited by a and b. See ( , ) for an alternative notation. Both notations are used for a left-open interval .
The Miscellaneous Mathematical Symbols-A block (U+27C0–U+27EF) contains characters for mathematical, logical, and database notation. Miscellaneous Mathematical Symbols-A [1] Official Unicode Consortium code chart (PDF)
In chemistry, the vertical line is used in cell notation of electrochemical cells. Example, Zn | Zn 2+ || Cu 2+ | Cu Single vertical lines show components of the cell which do not mix, usually being in different phases. The double vertical line ( || ) is used to represent salt bridge; which is used to allow free moving ions to move.
A rest is the absence of a sound for a defined period of time in music, or one of the musical notation signs used to indicate that. The length of a rest corresponds with that of a particular note value, thus indicating how long the silence should last. Each type of rest is named for the note value it corresponds with (e.g. quarter note and ...
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In addition to its role in real analysis, the unit interval is used to study homotopy theory in the field of topology. In the literature, the term "unit interval" is sometimes applied to the other shapes that an interval from 0 to 1 could take: (0,1], [0,1), and (0,1). However, the notation I is most commonly reserved for the closed interval [0,1].