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When no confusion is possible, notation f(S) is commonly used. 1. Closed interval : if a and b are real numbers such that a ≤ b {\displaystyle a\leq b} , then [ a , b ] {\displaystyle [a,b]} denotes the closed interval defined by them.
Mar 2, 2018 · Where implicit multiplication is appropriate, in algebraic expressions, between a number and a symbol, or between two symbols, neither :: not ÷ ÷ should be used to express division. Rather division should be shown using a horizontal line. This means there is no confusion possible between. a b(c + d) a b (c + d) and.
In contexts where there is no confusion, a 1 × 1 matrix can be treated as a scalar. A matrix or tuple consisting of all zeros is simply denoted by 0 with the dimension inferred from the context. For a matrix A, A T denotes the transpose of A. For an n -tuple x , x T denotes the transpose of x.
The notation ∥ ⋅ ∥ will also be used to denote the norm of R N. No confusion is possible since it will always be clear from the context which norm is used.
Apr 19, 2023 · The original notation used to represent imaginary numbers was "$\sqrt{-1}$", where the square root symbol was used to indicate the square root of a negative number. However, this notation can be confusing and misleading, as the square roots of negative numbers cannot be represented as real numbers.
As a rule of thumb I use type-writer font for quantifier expressions and italics for the signified quantifiers. In logical languages, on the other hand, it is convenient to abuse notation somewhat by using the same symbol for both the expression and the quantifier, when no confusion results.
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The notation ∥ ⋅ ∥ will also be used to denote the norm of R N. No confusion is possible since it will always be clear from the context which norm is used.