org.soulspace.math.methods — org.soulspace.clj/math.core 1.0.0-SNAPSHOT

average-damp clj/s

(average-damp f)

Returns a function with average dampening for the given function f.

close-enough? clj/s

(close-enough? x y)

(close-enough? x y epsilon)

Checks for a difference of a and b which is smaller than epsilon

derivation clj/s

(derivation f)

(derivation f dx)

Returns a funtion that is the derivation of the function f.

difference-quotient clj/s

(difference-quotient f x)

(difference-quotient f x dx)

Calculates the difference quotient of the function f at x with the delta dx.

exp-with-base clj/s

(exp-with-base b n)

Calculates the exponential function of x with base b.

fixed-point clj/s

(fixed-point f first-guess)

Calculates a fixed point of the function f.

gcd clj/s

(gcd x y)

Calculates the greatest common divisor of x and y

half-interval clj/s

(half-interval f a b)

(half-interval f a b epsilon)

Half interval method for the function f and values a and b.

integral clj/s

(integral f a b)

(integral f a b dx)

Calculates the integral of function f between a and b with dx.

newton-method clj/s

(newton-method f guess)

(newton-method f dx guess)

Newton method for searching a root of the function f starting with guess.

newton-transform clj/s

(newton-transform f)

(newton-transform f dx)

Returns a function which is the newton transfomation of the given function f.

primes clj/s

(primes)

(primes coll)

Returns a lazy sequence of primes.

prod clj/s

(prod term a nxt b)

Calculates the product of term between a and b with the step function nxt.

quadratic-roots clj/s

(quadratic-roots a b c)

Returns the roots of the quadratic equation (a * x^2 + b * x + c = 0).

round-up clj/s

(round-up x n)

Rounds a value x.

search-value clj/s

(search-value f v low high)

(search-value f v low high epsilon)

Searches for value by interval search.

search-zero clj/s

(search-zero f neg-point pos-point)

(search-zero f neg-point pos-point epsilon)

Searches for zero by interval search.

sum clj/s

(sum term a nxt b)

Calculates the sum of term between a and b with the step function nxt.