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�� p�!8�	���o���o����o�o���o�� �'�'�'�'�'�'�'(( (0(@(P(`(p(�(�(�(�(�(�(�(�()) )0)@)P)`)p)�)�)�)�)�)�)�)�)** *0*@*P*`*p*�*�*�*�*�*�*�*�*++ +This module is always available.  It provides access to the
mathematical functions defined by the C standard.isclose(a, b, *, rel_tol=1e-09, abs_tol=0.0) -> bool

Determine whether two floating point numbers are close in value.

   rel_tol
       maximum difference for being considered "close", relative to the
       magnitude of the input values
    abs_tol
       maximum difference for being considered "close", regardless of the
       magnitude of the input values

Return True if a is close in value to b, and False otherwise.

For the values to be considered close, the difference between them
must be smaller than at least one of the tolerances.

-inf, inf and NaN behave similarly to the IEEE 754 Standard.  That
is, NaN is not close to anything, even itself.  inf and -inf are
only close to themselves.isinf(x) -> bool

Return True if x is a positive or negative infinity, and False otherwise.isnan(x) -> bool

Return True if x is a NaN (not a number), and False otherwise.isfinite(x) -> bool

Return True if x is neither an infinity nor a NaN, and False otherwise.radians(x)

Convert angle x from degrees to radians.degrees(x)

Convert angle x from radians to degrees.pow(x, y)

Return x**y (x to the power of y).hypot(x, y)

Return the Euclidean distance, sqrt(x*x + y*y).fmod(x, y)

Return fmod(x, y), according to platform C.  x % y may differ.log10(x)

Return the base 10 logarithm of x.log2(x)

Return the base 2 logarithm of x.log(x[, base])

Return the logarithm of x to the given base.
If the base not specified, returns the natural logarithm (base e) of x.modf(x)

Return the fractional and integer parts of x.  Both results carry the sign
of x and are floats.ldexp(x, i)

Return x * (2**i).frexp(x)

Return the mantissa and exponent of x, as pair (m, e).
m is a float and e is an int, such that x = m * 2.**e.
If x is 0, m and e are both 0.  Else 0.5 <= abs(m) < 1.0.trunc(x:Real) -> Integral

Truncates x to the nearest Integral toward 0. Uses the __trunc__ magic method.factorial(x) -> Integral

Find x!. Raise a ValueError if x is negative or non-integral.fsum(iterable)

Return an accurate floating point sum of values in the iterable.
Assumes IEEE-754 floating point arithmetic.tanh(x)

Return the hyperbolic tangent of x.tan(x)

Return the tangent of x (measured in radians).sqrt(x)

Return the square root of x.sinh(x)

Return the hyperbolic sine of x.sin(x)

Return the sine of x (measured in radians).log1p(x)

Return the natural logarithm of 1+x (base e).
The result is computed in a way which is accurate for x near zero.lgamma(x)

Natural logarithm of absolute value of Gamma function at x.gamma(x)

Gamma function at x.floor(x)

Return the floor of x as an Integral.
This is the largest integer <= x.fabs(x)

Return the absolute value of the float x.expm1(x)

Return exp(x)-1.
This function avoids the loss of precision involved in the direct evaluation of exp(x)-1 for small x.exp(x)

Return e raised to the power of x.erfc(x)

Complementary error function at x.erf(x)

Error function at x.cosh(x)

Return the hyperbolic cosine of x.cos(x)

Return the cosine of x (measured in radians).copysign(x, y)

Return a float with the magnitude (absolute value) of x but the sign 
of y. On platforms that support signed zeros, copysign(1.0, -0.0) 
returns -1.0.
ceil(x)

Return the ceiling of x as an Integral.
This is the smallest integer >= x.atanh(x)

Return the inverse hyperbolic tangent of x.atan2(y, x)

Return the arc tangent (measured in radians) of y/x.
Unlike atan(y/x), the signs of both x and y are considered.atan(x)

Return the arc tangent (measured in radians) of x.asinh(x)

Return the inverse hyperbolic sine of x.asin(x)

Return the arc sine (measured in radians) of x.acosh(x)

Return the inverse hyperbolic cosine of x.acos(x)

Return the arc cosine (measured in radians) of x.gcd(x, y) -> int
greatest common divisor of x and y�j�j[k�j�j�j�j�j� ��������� �j�M@� �j�M� �j�M�� �jpM�� �jPM@� �j�P�� k0M�� 
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[ Back ]
NAME
SIZE
LAST TOUCH
USER
CAN-I?
FUNCTIONS
..
--
20 Mar 2026 2.43 PM
root / root
0755
0104a83db8d3f1178b048af6311637384aada2
25.523 KB
14 Oct 2019 12.12 AM
root / root
0755
0a820e70dc7f7a1d19105acd93835fddbf6ced
11.68 KB
6 Jun 2023 2.56 PM
root / linksafe
0755
166a140643a605967372d38a972ec0d3410932
23.508 KB
1 Apr 2025 1.15 PM
root / root
0755
278a69b5a3ba3e00d1959180312ee386a3800c
669.484 KB
4 Dec 2023 4.35 PM
root / root
0755
2b0419ff46225618657c150b0e8e0c53091163
662.539 KB
18 Aug 2020 10.44 PM
root / root
0755
80d4ad2f5c5803a3cd7eaa72b473af4bfc6277
5.51 MB
12 Jul 2021 3.31 PM
root / root
0755
88b6a696e801db489d2270bef7440d95af6fcf
59.109 KB
26 Aug 2025 9.47 AM
root / root
0755
8b82bff21919b7646120f9072c82eebdf9b868
148.727 KB
28 Jan 2020 5.19 PM
root / root
0755
940dea0571bef683af684e13a631d095432329
184.641 KB
26 Jul 2023 2.39 PM
root / linksafe
0755
984a57ccd123012703b38f084bedd8d8ca402c
46.75 KB
31 May 2024 1.52 PM
root / linksafe
0755
9da13ddf0319dd701ef56462e1fb5d4d90931c
151.008 KB
18 Dec 2019 11.52 AM
root / root
0755
ae2a0e4a774ffb94cc22828f0bedeb307fb716
16.141 KB
27 Jan 2026 4.01 PM
root / linksafe
0755
dd536eeb141ced1d0761f47e83e0463d56beba
11.531 KB
28 Apr 2025 5.36 PM
root / linksafe
0755

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