Current location - Training Enrollment Network - Mathematics courses - What does arg mean in mathematics?
What does arg mean in mathematics?
Arg stands for radian of complex number mathematically, which is the abbreviation of argument of complex number. For example:

z = r*(cosθ + i sinθ)

R is the modulus of z, that is, r = | z |

θ is the radial angle of z, which is denoted as θ = arg(z).

The radial angle of any non-zero complex number z=a+bi has an infinite number of values, which are different by integer multiples of 2π. Applicable to-π

Extended data:

The function argmax is a function for finding parameters (sets) of a function. When there is another function y=f(x), if there is a result x0= argmax(f(x)), it means that when the function f(x) takes x=x0, the maximum value of the range of f(x) is obtained; If there are multiple points that make f(x) get the same maximum, then the result of argmax(f(x)) is a point set. In other words, argmax(f(x)) is the variable point x (or the set of x) corresponding to the maximum value of f(x).

The formula of argmax is as follows:

For function f(x) or mapping f: x → y, when the value range of x is s (also called x∈S), the result of argmax is the x-point set that makes f(x) take the maximum value. Therefore, if x∈S is explicitly pointed out, it means that the maximum result value search is not carried out within all input variables of f(x).

Baidu encyclopedia -arg