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Complex numbers can be entered in either rectangular form (using the i key) or polar form (using the Θ key), and displayed in either form regardless of how they were entered. They can be decomposed using the ABS (radius r) and ARG (angle Θ) functions.
A complex number can also be defined by its geometric polar coordinates: the radius is called the absolute value of the complex number, while the angle from the positive real axis is called the argument of the complex number. The complex numbers of absolute value one form the unit circle.
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, if a {\displaystyle a} and b {\displaystyle b} are real numbers, then the complex conjugate of a + b i {\displaystyle a+bi} is a − b i . {\displaystyle a-bi.}
On HP calculators, treat the coordinates as a complex number and then take the ARG. Or << C->R ARG >> 'ATAN2' STO. On scientific calculators the function can often be calculated as the angle given when (x, y) is converted from rectangular coordinates to polar coordinates.
In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal x-axis, called the real axis, is formed by the real numbers, and the vertical y-axis, called the imaginary axis, is formed by the imaginary numbers. The complex plane allows for a geometric interpretation of ...
Casio fx-3650P II. Casio fx-3650P is a programmable scientific calculator manufactured by Casio Computer Co., Ltd. It can store 12 digits for the mantissa and 2 digits for the exponent together with the expression each time when the "EXE" button is pressed.
In mathematics, the polar decomposition of a square real or complex matrix is a factorization of the form =, where is a unitary matrix and is a positive semi-definite Hermitian matrix (is an orthogonal matrix and is a positive semi-definite symmetric matrix in the real case), both square and of the same size.
A split-complex number is an ordered pair of real numbers, written in the form = + where x and y are real numbers and the hyperbolic unit [1] j satisfies = + In the field of complex numbers the imaginary unit i satisfies =