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cf

Maxima Function

Calling Sequence

cf (expr)

Description

Converts expr into a continued fraction. expr is an expression comprising continued fractions and square roots of integers. Operands in the expression may be combined with arithmetic operators. Aside from continued fractions and square roots, factors in the expression must be integer or rational numbers. Maxima does not know about operations on continued fractions outside of cf.

cf evaluates its arguments after binding listarith to false. cf returns a continued fraction, represented as a list.

A continued fraction a + 1/(b + 1/(c + ...)) is represented by the list [a, b, c, ...]. The list elements a, b, c, ... must evaluate to integers. expr may also contain sqrt (n) where n is an integer. In this case cf will give as many terms of the continued fraction as the value of the variable cflength times the period.

A continued fraction can be evaluated to a number by evaluating the arithmetic representation returned by cfdisrep. See also for another way to evaluate a continued fraction.

See also , , and .

Examples:

cequalignore SciMax Toolbox cfdisrep