Argument (complex analysis)
Angle of complex number about real axis
In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as φ {\displaystyle \varphi } in Figure 1. By convention the positive real axis is drawn pointing rightward, the positive imaginary axis is drawn pointing upward, and complex numbers with positive real part are considered to have an anticlockwise argument with positive sign.
Nº Q1780131 ★★
Uncommon · Knowledge
Argument (complex analysis)
Angle of complex number about real axis
In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as φ {\displaystyle \varphi } in Figure 1. By convention the positive real axis is drawn pointing rightward, the positive imaginary axis is drawn pointing upward, and complex numbers with positive real part are considered to have an anticlockwise argument with positive sign.
Last price
—
Floor price
—
7-day median
—
30-day sales
0
30-day range
—
In circulation
0
Price history
median
low – high
sales
No sales in this period
Show table
| Date | median | Low | High | sales |
|---|
Sales history
- Last sale
- —
- 30-day average
- —
- 30-day low
- —
- 30-day high
- —
- Sales 7d
- 0
- Sales 30d
- 0
No sales yet.
Anonymous sales: no buyer or seller shown. Figures count player-to-player sales only.
From Wikipedia
In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as φ {\displaystyle \varphi } in Figure 1. By convention the positive real axis is drawn pointing rightward, the positive imaginary axis is drawn pointing upward, and complex numbers with positive real part are considered to have an anticlockwise argument with positive sign. When any real-valued angle is considered, the argument is a multivalued function operating on the nonzero complex numbers. The principal value of this function is single-valued, typically chosen to be the unique value of the argument that lies within the interval (−π, π]. In this article the multi-valued function will be denoted arg(z) and its principal value will be denoted Arg(z), but in some sources the capitalization of these symbols is exchanged.
Text: Wikipédia, CC BY-SA 4.0. · Image: Kan8eDie (CC BY-SA 3.0) ·
Related cards
-
C
Cis (mathematics)
Mathematical notation for cos(x) + i sin(x)
Nº Q22093344 ★
Not listed
-
Complex plane
Geometric representation of the complex numbers
Nº Q328998 ★★
Not listed
-
B
Banach algebra
Particular kind of algebraic structure
Nº Q806066 ★
Not listed
-
Absolute value of a complex number
Distance of a complex number from the origin in the complex plane
Nº Q3317982 ★★
Not listed
-
Linearity
Property of mathematical operator
Nº Q1753188 ★★
Not listed
-
Error function
Sigmoid shape special function which occurs in probability, statistics and partial differential equations
Nº Q579262 ★★★
Not listed