Как найти куб числа в питоне

x = 8

cube_root = x ** (1./3.)

print(cube_root)

def get_cube_root(x):
    if x < 0:
        x = abs(x)
        cube_root = x**(1/3)*(-1)
    else:
        cube_root = x**(1/3)
    return cube_root

print(round(get_cube_root(64)))
print(get_cube_root(-64))

import numpy as np 

cubes = [125, -64, 27, -8, 1] 
cube_roots = np.cbrt(cubes) 
print(cube_roots)

>>> def volume (v) :
    return v^3
volume(4)
SyntaxError: invalid syntax

1

9.2.1. Number-theoretic and representation functions¶

math.ceil(x)¶

Return the ceiling of x, the smallest integer greater than or equal to x.
If x is not a float, delegates to x.__ceil__(), which should return an
Integral value.

math.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.

math.fabs(x)¶

Return the absolute value of x.

math.factorial(x)¶

Return x factorial. Raises ValueError if x is not integral or
is negative.

math.floor(x)¶

Return the floor of x, the largest integer less than or equal to x.
If x is not a float, delegates to x.__floor__(), which should return an
Integral value.

math.fmod(x, y)¶

Return fmod(x, y), as defined by the platform C library. Note that the
Python expression x % y may not return the same result. The intent of the C
standard is that fmod(x, y) be exactly (mathematically; to infinite
precision) equal to x - n*y for some integer n such that the result has
the same sign as x and magnitude less than abs(y). Python’s x % y
returns a result with the sign of y instead, and may not be exactly computable
for float arguments. For example, fmod(-1e-100, 1e100) is -1e-100, but
the result of Python’s -1e-100 % 1e100 is 1e100-1e-100, which cannot be
represented exactly as a float, and rounds to the surprising 1e100. For
this reason, function fmod() is generally preferred when working with
floats, while Python’s x % y is preferred when working with integers.

math.frexp(x)¶

Return the mantissa and exponent of x as the pair (m, e). m is a float
and e is an integer such that x == m * 2**e exactly. If x is zero,
returns (0.0, 0), otherwise 0.5 <= abs(m) < 1. This is used to “pick
apart” the internal representation of a float in a portable way.

math.fsum(iterable)¶

Return an accurate floating point sum of values in the iterable. Avoids
loss of precision by tracking multiple intermediate partial sums:

>>> sum([.1, .1, .1, .1, .1, .1, .1, .1, .1, .1])
0.9999999999999999
>>> fsum([.1, .1, .1, .1, .1, .1, .1, .1, .1, .1])
1.0

The algorithm’s accuracy depends on IEEE-754 arithmetic guarantees and the
typical case where the rounding mode is half-even. On some non-Windows
builds, the underlying C library uses extended precision addition and may
occasionally double-round an intermediate sum causing it to be off in its
least significant bit.

For further discussion and two alternative approaches, see the ASPN cookbook
recipes for accurate floating point summation.

math.gcd(a, b)¶

Return the greatest common divisor of the integers a and b. If either
a or b is nonzero, then the value of gcd(a, b) is the largest
positive integer that divides both a and b. gcd(0, 0) returns
0.

New in version 3.5.

math.isclose(a, b, *, rel_tol=1e-09, abs_tol=0.0)¶

Return True if the values a and b are close to each other and
False otherwise.

Whether or not two values are considered close is determined according to
given absolute and relative tolerances.

rel_tol is the relative tolerance – it is the maximum allowed difference
between a and b, relative to the larger absolute value of a or b.
For example, to set a tolerance of 5%, pass rel_tol=0.05. The default
tolerance is 1e-09, which assures that the two values are the same
within about 9 decimal digits. rel_tol must be greater than zero.

abs_tol is the minimum absolute tolerance – useful for comparisons near
zero. abs_tol must be at least zero.

If no errors occur, the result will be:
abs(a-b) <= max(rel_tol * max(abs(a), abs(b)), abs_tol).

The IEEE 754 special values of NaN, inf, and -inf will be
handled according to IEEE rules. Specifically, NaN is not considered
close to any other value, including NaN. inf and -inf are only
considered close to themselves.

New in version 3.5.

See also

PEP 485 – A function for testing approximate equality

math.isfinite(x)¶

Return True if x is neither an infinity nor a NaN, and
False otherwise. (Note that 0.0 is considered finite.)

New in version 3.2.

math.isinf(x)¶

Return True if x is a positive or negative infinity, and
False otherwise.

math.isnan(x)¶

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

math.ldexp(x, i)¶

Return x * (2**i). This is essentially the inverse of function
frexp().

math.modf(x)¶

Return the fractional and integer parts of x. Both results carry the sign
of x and are floats.

math.trunc(x)¶

Return the Real value x truncated to an
Integral (usually an integer). Delegates to
x.__trunc__().

Note that frexp() and modf() have a different call/return pattern
than their C equivalents: they take a single argument and return a pair of
values, rather than returning their second return value through an ‘output
parameter’ (there is no such thing in Python).

For the ceil(), floor(), and modf() functions, note that all
floating-point numbers of sufficiently large magnitude are exact integers.
Python floats typically carry no more than 53 bits of precision (the same as the
platform C double type), in which case any float x with abs(x) >= 2**52
necessarily has no fractional bits.

9.2.2. Power and logarithmic functions¶

math.exp(x)¶

Return e**x.

math.expm1(x)¶

Return e**x - 1. For small floats x, the subtraction in exp(x) - 1
can result in a significant loss of precision; the expm1()
function provides a way to compute this quantity to full precision:

>>> from math import exp, expm1
>>> exp(1e-5) - 1  # gives result accurate to 11 places
1.0000050000069649e-05
>>> expm1(1e-5)    # result accurate to full precision
1.0000050000166668e-05

New in version 3.2.

math.log(x[, base])¶

With one argument, return the natural logarithm of x (to base e).

With two arguments, return the logarithm of x to the given base,
calculated as log(x)/log(base).

math.log1p(x)¶

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

math.log2(x)¶

Return the base-2 logarithm of x. This is usually more accurate than
log(x, 2).

New in version 3.3.

See also

int.bit_length() returns the number of bits necessary to represent
an integer in binary, excluding the sign and leading zeros.

math.log10(x)¶

Return the base-10 logarithm of x. This is usually more accurate
than log(x, 10).

math.pow(x, y)¶

Return x raised to the power y. Exceptional cases follow
Annex ‘F’ of the C99 standard as far as possible. In particular,
pow(1.0, x) and pow(x, 0.0) always return 1.0, even
when x is a zero or a NaN. If both x and y are finite,
x is negative, and y is not an integer then pow(x, y)
is undefined, and raises ValueError.

Unlike the built-in ** operator, math.pow() converts both
its arguments to type float. Use ** or the built-in
pow() function for computing exact integer powers.

math.sqrt(x)¶

Return the square root of x.

9.2.3. Trigonometric functions¶

math.acos(x)¶

Return the arc cosine of x, in radians.

math.asin(x)¶

Return the arc sine of x, in radians.

math.atan(x)¶

Return the arc tangent of x, in radians.

math.atan2(y, x)¶

Return atan(y / x), in radians. The result is between -pi and pi.
The vector in the plane from the origin to point (x, y) makes this angle
with the positive X axis. The point of atan2() is that the signs of both
inputs are known to it, so it can compute the correct quadrant for the angle.
For example, atan(1) and atan2(1, 1) are both pi/4, but atan2(-1,
-1) is -3*pi/4.

math.cos(x)¶

Return the cosine of x radians.

math.hypot(x, y)¶

Return the Euclidean norm, sqrt(x*x + y*y). This is the length of the vector
from the origin to point (x, y).

math.sin(x)¶

Return the sine of x radians.

math.tan(x)¶

Return the tangent of x radians.

9.2.4. Angular conversion¶

math.degrees(x)¶

Convert angle x from radians to degrees.

math.radians(x)¶

Convert angle x from degrees to radians.

9.2.5. Hyperbolic functions¶

Hyperbolic functions
are analogs of trigonometric functions that are based on hyperbolas
instead of circles.

math.acosh(x)¶

Return the inverse hyperbolic cosine of x.

math.asinh(x)¶

Return the inverse hyperbolic sine of x.

math.atanh(x)¶

Return the inverse hyperbolic tangent of x.

math.cosh(x)¶

Return the hyperbolic cosine of x.

math.sinh(x)¶

Return the hyperbolic sine of x.

math.tanh(x)¶

Return the hyperbolic tangent of x.

9.2.6. Special functions¶

math.erf(x)¶

Return the error function at
x.

The erf() function can be used to compute traditional statistical
functions such as the cumulative standard normal distribution:

def phi(x):
    'Cumulative distribution function for the standard normal distribution'
    return (1.0 + erf(x / sqrt(2.0))) / 2.0

New in version 3.2.

math.erfc(x)¶

Return the complementary error function at x. The complementary error
function is defined as
1.0 - erf(x). It is used for large values of x where a subtraction
from one would cause a loss of significance.

New in version 3.2.

math.gamma(x)¶

Return the Gamma function at
x.

New in version 3.2.

math.lgamma(x)¶

Return the natural logarithm of the absolute value of the Gamma
function at x.

New in version 3.2.

9.2.7. Constants¶

math.pi¶

The mathematical constant π = 3.141592…, to available precision.

math.e¶

The mathematical constant e = 2.718281…, to available precision.

math.tau¶

The mathematical constant τ = 6.283185…, to available precision.
Tau is a circle constant equal to 2π, the ratio of a circle’s circumference to
its radius. To learn more about Tau, check out Vi Hart’s video Pi is (still)
Wrong, and start celebrating
Tau day by eating twice as much pie!

New in version 3.6.

math.inf¶

A floating-point positive infinity. (For negative infinity, use
-math.inf.) Equivalent to the output of float('inf').

New in version 3.5.

math.nan¶

A floating-point “not a number” (NaN) value. Equivalent to the output of
float('nan').

New in version 3.5.