@@ -29,86 +29,86 @@ noted otherwise, all return values are floats.
2929====================================================  ============================================ 
3030**Number-theoretic and representation functions **
3131-------------------------------------------------------------------------------------------------- 
32- :func: `ceil(x) <ceil> `                                Ceiling of *x *, the smallest integer greater than or equal to *x *. 
33- :func: `comb(n, k) <comb> `                             Number of ways to choose *k * items from *n * items without repetition and without order. 
34- :func: `copysign(x, y) <copysign> `                     Magnitude (absolute value) of *x * with the sign of *y *. 
35- :func: `fabs(x) <fabs> `                                Absolute value of *x *. 
36- :func: `factorial(n) <factorial> `                      *n * factorial. 
37- :func: `floor (x)  <floor> `                            Floor of *x *, the largest integer less than or equal to *x *. 
38- :func: `fma(x, y, z) <fma> `                            Fused multiply-add operation: ``(x * y) + z ``. 
39- :func: `fmod(x, y) <fmod> `                             Remainder of division ``x / y ``. 
40- :func: `frexp(x) <frexp> `                              Mantissa and exponent of *x *. 
41- :func: `fsum(iterable) <fsum> `                         Sum of values in the input *iterable *. 
42- :func: `gcd(*integers) <gcd> `                          Greatest common divisor of the integer arguments. 
43- :func: `isclose(a, b, rel_tol, abs_tol) <isclose> `     Check if the values *a * and *b * are close to each other. 
44- :func: `isfinite(x) <isfinite> `                        Check if *x * is neither an infinity nor a NaN. 
45- :func: `isinf(x) <isinf> `                              Check if *x * is a positive or negative infinity. 
46- :func: `isnan(x) <isnan> `                              Check if *x * is a NaN  (not a number). 
47- :func: `isqrt(n) <isqrt> `                              Integer square root of a nonnegative integer *n *. 
48- :func: `lcm(*integers) <lcm> `                          Least common multiple of the integer arguments. 
49- :func: `ldexp(x, i) <ldexp> `                           ``x * (2**i) ``, inverse of function :func: `frexp `. 
50- :func: `modf(x) <modf> `                                Fractional and integer parts of *x *. 
51- :func: `nextafter(x, y, steps) <nextafter> `            Floating-point value *steps * steps after *x * towards *y *. 
52- :func: `perm(n, k) <perm> `                             Number of ways to choose *k * items from *n * items without repetition and with order. 
53- :func: `prod(iterable, start) <prod> `                  Product of elements in the input *iterable * with a *start * value. 
54- :func: `remainder(x, y) <remainder> `                   Remainder of *x * with respect to *y *. 
55- :func: `sumprod(p, q) <sumprod> `                       Sum of products from two iterables *p * and *q *. 
56- :func: `trunc(x) <trunc> `                              Integer part of *x *. 
57- :func: `ulp(x) <ulp> `                                  Value of the least significant bit of *x *. 
32+ :func: `ceil(x) <ceil> `                                Ceiling of *x *, the smallest integer greater than or equal to *x *
33+ :func: `comb(n, k) <comb> `                             Number of ways to choose *k * items from *n * items without repetition and without order
34+ :func: `copysign(x, y) <copysign> `                     Magnitude (absolute value) of *x * with the sign of *y *
35+ :func: `fabs(x) <fabs> `                                Absolute value of *x *
36+ :func: `factorial(n) <factorial> `                      *n * factorial
37+ :func: `floor (x)  <floor> `                            Floor of *x *, the largest integer less than or equal to *x *
38+ :func: `fma(x, y, z) <fma> `                            Fused multiply-add operation: ``(x * y) + z ``
39+ :func: `fmod(x, y) <fmod> `                             Remainder of division ``x / y ``
40+ :func: `frexp(x) <frexp> `                              Mantissa and exponent of *x *
41+ :func: `fsum(iterable) <fsum> `                         Sum of values in the input *iterable *
42+ :func: `gcd(*integers) <gcd> `                          Greatest common divisor of the integer arguments
43+ :func: `isclose(a, b, rel_tol, abs_tol) <isclose> `     Check if the values *a * and *b * are close to each other
44+ :func: `isfinite(x) <isfinite> `                        Check if *x * is neither an infinity nor a NaN
45+ :func: `isinf(x) <isinf> `                              Check if *x * is a positive or negative infinity
46+ :func: `isnan(x) <isnan> `                              Check if *x * is a NaN  (not a number)
47+ :func: `isqrt(n) <isqrt> `                              Integer square root of a nonnegative integer *n *
48+ :func: `lcm(*integers) <lcm> `                          Least common multiple of the integer arguments
49+ :func: `ldexp(x, i) <ldexp> `                           ``x * (2**i) ``, inverse of function :func: `frexp `
50+ :func: `modf(x) <modf> `                                Fractional and integer parts of *x *
51+ :func: `nextafter(x, y, steps) <nextafter> `            Floating-point value *steps * steps after *x * towards *y *
52+ :func: `perm(n, k) <perm> `                             Number of ways to choose *k * items from *n * items without repetition and with order
53+ :func: `prod(iterable, start) <prod> `                  Product of elements in the input *iterable * with a *start * value
54+ :func: `remainder(x, y) <remainder> `                   Remainder of *x * with respect to *y *
55+ :func: `sumprod(p, q) <sumprod> `                       Sum of products from two iterables *p * and *q *
56+ :func: `trunc(x) <trunc> `                              Integer part of *x *
57+ :func: `ulp(x) <ulp> `                                  Value of the least significant bit of *x *
5858
5959**Power and logarithmic functions **
6060-------------------------------------------------------------------------------------------------- 
61- :func: `cbrt(x) <cbrt> `                                Cube root of *x *. 
62- :func: `exp(x) <exp> `                                  *e * raised to the power *x *. 
63- :func: `exp2(x) <exp2> `                                *2 * raised to the power *x *. 
64- :func: `expm1(x) <expm1> `                              *e * raised to the power *x *, minus 1. 
65- :func: `log(x, base) <log> `                            Logarithm of *x * to the given base (*e * by default). 
66- :func: `log1p(x) <log1p> `                              Natural logarithm of *1+x * (base *e *). 
67- :func: `log2(x) <log2> `                                Base-2 logarithm of *x *. 
68- :func: `log10(x) <log10> `                              Base-10 logarithm of *x *. 
69- :func: `pow(x, y) <pow> `                               *x * raised to the power *y *. 
70- :func: `sqrt(x) <sqrt> `                                Square root of *x *. 
61+ :func: `cbrt(x) <cbrt> `                                Cube root of *x *
62+ :func: `exp(x) <exp> `                                  *e * raised to the power *x *
63+ :func: `exp2(x) <exp2> `                                *2 * raised to the power *x *
64+ :func: `expm1(x) <expm1> `                              *e * raised to the power *x *, minus 1
65+ :func: `log(x, base) <log> `                            Logarithm of *x * to the given base (*e * by default)
66+ :func: `log1p(x) <log1p> `                              Natural logarithm of *1+x * (base *e *)
67+ :func: `log2(x) <log2> `                                Base-2 logarithm of *x *
68+ :func: `log10(x) <log10> `                              Base-10 logarithm of *x *
69+ :func: `pow(x, y) <pow> `                               *x * raised to the power *y *
70+ :func: `sqrt(x) <sqrt> `                                Square root of *x *
7171
7272**Trigonometric functions **
7373-------------------------------------------------------------------------------------------------- 
74- :func: `acos(x) <acos> `                                Arc cosine of *x *. 
75- :func: `asin(x) <asin> `                                Arc sine of *x *. 
76- :func: `atan(x) <atan> `                                Arc tangent of *x *. 
77- :func: `atan2(y, x) <atan2> `                           ``atan(y / x) ``. 
78- :func: `cos(x) <cos> `                                  Cosine of *x *. 
79- :func: `dist(p, q) <dist> `                             Euclidean distance between two points *p * and *q * given as an iterable of coordinates. 
80- :func: `hypot(*coordinates) <hypot> `                   Euclidean norm of an iterable of coordinates. 
81- :func: `sin(x) <sin> `                                  Sine of *x *. 
82- :func: `tan(x) <tan> `                                  Tangent of *x *. 
74+ :func: `acos(x) <acos> `                                Arc cosine of *x *
75+ :func: `asin(x) <asin> `                                Arc sine of *x *
76+ :func: `atan(x) <atan> `                                Arc tangent of *x *
77+ :func: `atan2(y, x) <atan2> `                           ``atan(y / x) ``
78+ :func: `cos(x) <cos> `                                  Cosine of *x *
79+ :func: `dist(p, q) <dist> `                             Euclidean distance between two points *p * and *q * given as an iterable of coordinates
80+ :func: `hypot(*coordinates) <hypot> `                   Euclidean norm of an iterable of coordinates
81+ :func: `sin(x) <sin> `                                  Sine of *x *
82+ :func: `tan(x) <tan> `                                  Tangent of *x *
8383
8484**Angular conversion **
8585-------------------------------------------------------------------------------------------------- 
86- :func: `degrees(x) <degrees> `                          Convert angle *x * from radians to degrees. 
87- :func: `radians(x) <radians> `                          Convert angle *x * from degrees to radians. 
86+ :func: `degrees(x) <degrees> `                          Convert angle *x * from radians to degrees
87+ :func: `radians(x) <radians> `                          Convert angle *x * from degrees to radians
8888
8989**Hyperbolic functions **
9090-------------------------------------------------------------------------------------------------- 
91- :func: `acosh(x) <acosh> `                              Inverse hyperbolic cosine of *x *. 
92- :func: `asinh(x) <asinh> `                              Inverse hyperbolic sine of *x *. 
93- :func: `atanh(x) <atanh> `                              Inverse hyperbolic tangent of *x *. 
94- :func: `cosh(x) <cosh> `                                Hyperbolic cosine of *x *. 
95- :func: `sinh(x) <sinh> `                                Hyperbolic sine of *x *. 
96- :func: `tanh(x) <tanh> `                                Hyperbolic tangent of *x *. 
91+ :func: `acosh(x) <acosh> `                              Inverse hyperbolic cosine of *x *
92+ :func: `asinh(x) <asinh> `                              Inverse hyperbolic sine of *x *
93+ :func: `atanh(x) <atanh> `                              Inverse hyperbolic tangent of *x *
94+ :func: `cosh(x) <cosh> `                                Hyperbolic cosine of *x *
95+ :func: `sinh(x) <sinh> `                                Hyperbolic sine of *x *
96+ :func: `tanh(x) <tanh> `                                Hyperbolic tangent of *x *
9797
9898**Special functions **
9999-------------------------------------------------------------------------------------------------- 
100- :func: `erf(x) <erf> `                                  `Error function  <https://en.wikipedia.org/wiki/Error_function >`_ at *x *. 
101- :func: `erfc(x) <erfc> `                                `Complementary error function  <https://en.wikipedia.org/wiki/Error_function >`_ at *x *. 
102- :func: `gamma(x) <gamma> `                              `Gamma function  <https://en.wikipedia.org/wiki/Gamma_function >`_ at *x *. 
103- :func: `lgamma(x) <lgamma> `                            Natural logarithm of the absolute value of the `Gamma function  <https://en.wikipedia.org/wiki/Gamma_function >`_ at *x *. 
100+ :func: `erf(x) <erf> `                                  `Error function  <https://en.wikipedia.org/wiki/Error_function >`_ at *x *
101+ :func: `erfc(x) <erfc> `                                `Complementary error function  <https://en.wikipedia.org/wiki/Error_function >`_ at *x *
102+ :func: `gamma(x) <gamma> `                              `Gamma function  <https://en.wikipedia.org/wiki/Gamma_function >`_ at *x *
103+ :func: `lgamma(x) <lgamma> `                            Natural logarithm of the absolute value of the `Gamma function  <https://en.wikipedia.org/wiki/Gamma_function >`_ at *x *
104104
105105**Constants **
106106-------------------------------------------------------------------------------------------------- 
107107:data: `pi `                                            *π * = 3.141592...
108108:data: `e `                                             *e * = 2.718281...
109- :data: `tau `                                           *τ * = 2\  *π * = 6.283185.... 
110- :data: `inf `                                           Positive infinity. 
111- :data: `nan `                                           "Not a number" (NaN). 
109+ :data: `tau `                                           *τ * = 2\  *π * = 6.283185...
110+ :data: `inf `                                           Positive infinity
111+ :data: `nan `                                           "Not a number" (NaN)
112112====================================================  ============================================ 
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