Assertion: complex number's form | /r/HasProperty | polar
Facets:
Source sentences:
text: Complex numbers can also be represented in polar form, which associates each complex number with its distance from the origin (its magnitude) and with a particular angle known as the argument of this complex number.
text: which is known as the trigonometric form of complex number, its polar representation.
text: It implies that, if a complex number z is written in polar form
text: But there is also a third method for representing a complex number which is similar to the polar form that corresponds to the length (magnitude) and phase angle of the sinusoid but uses the base of the natural logarithm, e = 2.718 281.. to find the value of the complex number.
text: When a complex number z is expressed in its polar form as
text: Polar → Rectangular Conversion Suppose we have a complex number expressed in polar form and we want to express it in rectangular form.
text: Any complex number can be represented in polar form as ( r , θ )
text: Every complex number z can be written in the polar form
text: Since De Moivre’s Theorem applies to complex numbers written in polar form, we must first write in polar form.
text: Nonzero complex numbers written in polar form are equal if and only if they have the same magnitude and their arguments differ by an integer multiple of 2π.