Degree

Notations

Traditional name

Traditional notation

Mathematica StandardForm notation

Primary definition

Different representations of ° can be derived from corresponding representations of π; see the page for π.

Specific values

General characteristics

The number of radians in one degree ° is a constant. It is irrational and transcendental over ℚ positive real number.

Complex characteristics

Real part

Imaginary part

Absolute value

Argument

Conjugate value

Signum value

Differentiation

Low-order differentiation

Fractional integro-differentiation

Integration

Indefinite integration

Integral transforms

Fourier exp transforms

Inverse Fourier exp transforms

Fourier cos transforms

Fourier sin transforms

Laplace transforms

Inverse Laplace transforms

Representations through more general functions

Through Meijer G

Through other functions

Representations through equivalent functions

With related functions

Inequalities

History

– Babylonians divided the circle into 360 degrees, probably because this was approximately the number of days in the year

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