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3. Integral part: if x is a real number, [] often denotes the integral part or truncation of x, that is, the integer obtained by removing all digits after the decimal mark. This notation has also been used for other variants of floor and ceiling functions. 4.
Usually, the meaning of x ′ is defined when it is first used, but sometimes, its meaning is assumed to be understood: A derivative or differentiated function: in Lagrange's notation, f ′ (x) and f ″(x) are the first and second derivatives of f (x) with respect to x. Likewise for f ‴(x) and f ⁗(x).
Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities.
the argument of a complex number in mathematics; the value of a plane angle in physics and mathematics; the angle to the z axis in spherical coordinates (mathematics) epoch or phase difference between two waves or vectors; the angle to the x axis in the xy-plane in spherical or cylindrical coordinates (physics) latitude in geodesy; radiant flux ...
def – define or definition. deg – degree of a polynomial, or other recursively-defined objects such as well-formed formulas. (Also written as ∂.) del – del, a differential operator. (Also written as.) det – determinant of a matrix or linear transformation. DFT – discrete Fourier transform.
To make typographic apostrophes easier to enter, word processing and publishing software often convert typewriter apostrophes to typographic apostrophes during text entry (at the same time converting opening and closing single and double quotes to their standard left-handed or right-handed forms). A similar facility may be offered on web ...
Little punctuation marks—like a comma, question mark, or an apostrophe—can make or break the flow or meaning of a sentence. In fact, this is how confusing life would be without proper punctuation.
The rationale behind this is that it enables design and usage of special mathematical characters that include all necessary properties to differentiate from other alphanumerics, e.g. in mathematics an italic "𝐴" can have a different meaning from a roman letter "A".