Series

Series()

A series expansion class.

Supports standard arithmetic operations, such as addition and multiplication.

Examples

>>> x = Expression.symbol('x')
>>> s = Expression.parse("(1-cos(x))/sin(x)").series(x, 0, 4) * x
>>> print(s)

Methods

Name	Description
cos	Compute the cosine of the series, returning the result.
exp	Compute the exponential of the series, returning the result.
format	Convert the series into a human-readable string.
get_absolute_order	Get the absolute order.
get_ramification	Get the ramification.
get_relative_order	Get the relative order.
get_trailing_exponent	Get the trailing exponent; the exponent of the first non-zero term.
log	Compute the natural logarithm of the series, returning the result.
pow	Raise the series to the power of num/den, returning the result.
shift	Shift the series by e units of the ramification.
sin	Compute the sine of the series, returning the result.
spow	Raise the series to the power of exp, returning the result.
to_expression	Convert the series to an expression
to_latex	Convert the series into a LaTeX string.

cos

Series.cos()

Compute the cosine of the series, returning the result.

exp

Series.exp()

Compute the exponential of the series, returning the result.

format

Series.format(
    terms_on_new_line=False,
    color_top_level_sum=True,
    color_builtin_symbols=True,
    print_finite_field=True,
    symmetric_representation_for_finite_field=False,
    explicit_rational_polynomial=False,
    number_thousands_separator=None,
    multiplication_operator='*',
    double_star_for_exponentiation=False,
    square_brackets_for_function=False,
    num_exp_as_superscript=True,
    latex=False,
    precision=None,
    show_namespaces=False,
    max_terms=None,
)

Convert the series into a human-readable string.

get_absolute_order

Series.get_absolute_order()

Get the absolute order.

get_ramification

Series.get_ramification()

Get the ramification.

get_relative_order

Series.get_relative_order()

Get the relative order.

get_trailing_exponent

Series.get_trailing_exponent()

Get the trailing exponent; the exponent of the first non-zero term.

log

Series.log()

Compute the natural logarithm of the series, returning the result.

pow

Series.pow(num, den)

Raise the series to the power of num/den, returning the result.

shift

Series.shift(e)

Shift the series by e units of the ramification.

sin

Series.sin()

Compute the sine of the series, returning the result.

spow

Series.spow(exp)

Raise the series to the power of exp, returning the result.

to_expression

Series.to_expression()

Convert the series to an expression

to_latex

Series.to_latex()

Convert the series into a LaTeX string.