@@ -38,6 +38,57 @@ the function is then applied to the result of the conversion.
3838 1.4142135623730951j
3939
4040
41+ ==================================================== ============================================
42+ **Conversions to and from polar coordinates **
43+ --------------------------------------------------------------------------------------------------
44+ :func: `phase(z) <phase> ` Return the phase of *z *
45+ :func: `polar(z) <polar> ` Return the representation of *z * in polar coordinates
46+ :func: `rect(r, phi) <rect> ` Return the complex number *z * with polar coordinates *r * and *phi *
47+
48+ **Power and logarithmic functions **
49+ --------------------------------------------------------------------------------------------------
50+ :func: `exp(z) <exp> ` Return *e * raised to the power *z *
51+ :func: `log(z[, base]) <log> ` Return the logarithm of *z * to the given *base * (*e * by default)
52+ :func: `log10(z) <log10> ` Return the base-10 logarithm of *z *
53+ :func: `sqrt(z) <sqrt> ` Return the square root of *z *
54+
55+ **Trigonometric functions **
56+ --------------------------------------------------------------------------------------------------
57+ :func: `acos(z) <acos> ` Return the arc cosine of *z *
58+ :func: `asin(z) <asin> ` Return the arc sine of *z *
59+ :func: `atan(z) <atan> ` Return the arc tangent of *z *
60+ :func: `cos(z) <cos> ` Return the cosine of *z *
61+ :func: `sin(z) <sin> ` Return the sine of *z *
62+ :func: `tan(z) <tan> ` Return the tangent of *z *
63+
64+ **Hyperbolic functions **
65+ --------------------------------------------------------------------------------------------------
66+ :func: `acosh(z) <acosh> ` Return the inverse hyperbolic cosine of *z *
67+ :func: `asinh(z) <asinh> ` Return the inverse hyperbolic sine of *z *
68+ :func: `atanh(z) <atanh> ` Return the inverse hyperbolic tangent of *z *
69+ :func: `cosh(z) <cosh> ` Return the hyperbolic cosine of *z *
70+ :func: `sinh(z) <sinh> ` Return the hyperbolic sine of *z *
71+ :func: `tanh(z) <tanh> ` Return the hyperbolic tangent of *z *
72+
73+ **Classification functions **
74+ --------------------------------------------------------------------------------------------------
75+ :func: `isfinite(z) <isfinite> ` Check if all components of *z * are finite
76+ :func: `isinf(z) <isinf> ` Check if any component of *z * is infinite
77+ :func: `isnan(z) <isnan> ` Check if any component of *z * is a NaN
78+ :func: `isclose(a, b, *, rel_tol, abs_tol) <isclose> ` Check if the values *a * and *b * are close to each other
79+
80+ **Constants **
81+ --------------------------------------------------------------------------------------------------
82+ :data: `pi ` *π * = 3.141592...
83+ :data: `e ` *e * = 2.718281...
84+ :data: `tau ` *τ * = 2\ *π * = 6.283185...
85+ :data: `inf ` Positive infinity
86+ :data: `infj ` Pure imaginary infinity
87+ :data: `nan ` "Not a number" (NaN)
88+ :data: `nanj ` Pure imaginary NaN
89+ ==================================================== ============================================
90+
91+
4192Conversions to and from polar coordinates
4293-----------------------------------------
4394
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