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Write out "phi" consistently.

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Georg Brandl 2008-06-22 19:07:59 +00:00
parent ac0c3810e4
commit 3e8bb4e9b0
1 changed files with 5 additions and 5 deletions
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10
Doc/library/cmath.rst
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@ -40,9 +40,9 @@ Definition::
In engineering the polar coordinate system is popular for complex numbers. In
polar coordinates a complex number is defined by the radius *r* and the phase
angle *φ*. The radius *r* is the absolute value of the complex, which can be
angle *phi*. The radius *r* is the absolute value of the complex, which can be
viewed as distance from (0, 0). The radius *r* is always 0 or a positive float.
The phase angle *φ* is the counter clockwise angle from the positive x axis,
The phase angle *phi* is the counter clockwise angle from the positive x axis,
e.g. *1* has the angle *0*, *1j* has the angle *π/2* and *-1* the angle *-π*.
.. note::
@ -53,12 +53,12 @@ e.g. *1* has the angle *0*, *1j* has the angle *π/2* and *-1* the angle *-π*.
Definition::
z = r * exp(1j * φ)
z = r * cis(φ)
z = r * exp(1j * phi)
z = r * cis(phi)
r := abs(z) := sqrt(real(z)**2 + imag(z)**2)
phi := phase(z) := atan2(imag(z), real(z))
cis(φ) := cos(φ) + 1j * sin(φ)
cis(phi) := cos(phi) + 1j * sin(phi)
.. function:: phase(x)