sicmutils.series — io.samritchie/sicmutils 0.13.0-SNAPSHOT

fmap clj/s

(fmap f s)

generate clj/s

(generate f)

Produce the series generated by (f i) for i in 0, 1, ...

partial-sums clj/s

(partial-sums s)

Form the infinite sequence of partial sums of the given series

series? clj/s

(series? s)

starting-with clj/s

(starting-with & xs)

Form the infinite sequence starting with the supplied values. The remainder of the series will be filled with the zero-value corresponding to the first of the given values.

sum clj/s

(sum s n)

take clj/s

(take n s)

value clj/s

(value S x)

Find the value of the series S applied to the argument x. This assumes that S is a series of applicables. If, in fact, S is a series of series-valued applicables, then the result will be a sort of layered sum of the values. Concretely, suppose that S has the form [[A1 A2 A3...] [B1 B2 B3...] [C1 C2 C3...]...] Then, this series applied to x will yield the series of values [(A1 x) (+ (A2 x) (B1 x)) (+ (A3 x) (B2 x) (C1 x)) ...]