principal value of the argument of a complex number
1Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …
2Principal value — In considering complex multiple valued functions in complex analysis, the principal values of a function are the values along one chosen branch of that function, so it is single valued. Motivation Consider the complex logarithm function log z .… …
3Complex logarithm — A single branch of the complex logarithm. The hue of the color is used to show the arg (polar coordinate angle) of the complex logarithm. The saturation (intensity) of the color is used to show the modulus of the complex logarithm. The page with… …
4Argument (complex analysis) — Arg (mathematics) redirects here. For argument of a function, see Argument of a function. Figure 1. This Argand diagram represents the complex numbers lying on a plane. For each point on the plane, arg is the function which returns the angle φ.… …
5The Church — The Church † Catholic Encyclopedia ► The Church The term church (Anglo Saxon, cirice, circe; Modern German, Kirche; Sw., Kyrka) is the name employed in the Teutonic languages to render the Greek ekklesia (ecclesia), the term by which… …
6The Mismeasure of Man — The first edition of The Mismeasure of Man. (1981) The Mismeasure of Man (1981), by Stephen Jay Gould, is a history and critique of the statistical methods and cultural motivations underlying biological determinism, the belief that “the social… …
7Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics …
8argument — /ahr gyeuh meuhnt/, n. 1. an oral disagreement; verbal opposition; contention; altercation: a violent argument. 2. a discussion involving differing points of view; debate: They were deeply involved in an argument about inflation. 3. a process of… …
9The Shining (film) — The Shining Theatrical release poster Directed by Stanley Kubrick Produced by Stanle …
10Enlightenment I (The French): science, materialism and determinism — The French Enlightenment I: science, materialism and determinism Peter Jimack The French Enlightenment is not just a convenient label devised by historians of philosophy, and the thinkers to be discussed in this chapter and the next were for the… …
