Exceptions indicated.
sicmutils.calculus.derivative
Dclj/s
Derivative operator. Produces a function whose value at some point can multiply an increment in the arguments, to produce the best linear estimate of the increment in the function value.
Derivative operator. Produces a function whose value at some point can multiply an increment in the arguments, to produce the best linear estimate of the increment in the function value.
differential-ofclj/s
(differential-of dx)The differential of a quantity is, if we're a differential, the differential of the coefficient of the highest-order term part, or else the input itself.
The differential of a quantity is, if we're a differential, the differential of the coefficient of the highest-order term part, or else the input itself.
dx*dyclj/s
(dx*dy dx dy)Form the product of the differentials dx and dy.
Form the product of the differentials dx and dy.
dx+dyclj/s
(dx+dy dx dy)Adds two objects differentially. (One of the objects might not be differential; in which case we lift it into a trivial differential before the addition.)
Adds two objects differentially. (One of the objects might not be differential; in which case we lift it into a trivial differential before the addition.)
make-differentialclj/s
(make-differential tags->coefs)The input here is a mapping (loosely defined) between sets of differential tags and coefficients. The mapping can be an actual map, or just a sequence of pairs. The differential tag sets are sequences of integer tags, which should be sorted.
The input here is a mapping (loosely defined) between sets of differential tags and coefficients. The mapping can be an actual map, or just a sequence of pairs. The differential tag sets are sequences of integer tags, which should be sorted.
max-order-tagclj/s
(max-order-tag ds)From each of the differentials in the sequence ds, find the highest order term; then return the greatest tag found in any of these terms; i.e., the highest-numbered tag of the highest-order term.
From each of the differentials in the sequence ds, find the highest order term; then return the greatest tag found in any of these terms; i.e., the highest-numbered tag of the highest-order term.
partialclj/s
(partial & selectors)Partial differentiation of a function at the (zero-based) slot index provided.
Partial differentiation of a function at the (zero-based) slot index provided.
taylor-seriesclj/s
(taylor-series f x dx)Returns a Series of the coefficients of the taylor series of the function f
evaluated at x, with incremental quantity dx.
NOTE: The (constantly dx) term is what allows this to work with arbitrary
structures of x and dx. Without this wrapper, ((g/* dx D) f) with dx
== (up 'dx 'dy) would expand to this:
(fn [x] (* (s/up ('dx x) ('dy x)) ((D f) x)))
constantly delays the interpretation of dx one step:
(fn [x] (* (s/up 'dx 'dy) ((D f) x)))
Returns a `Series` of the coefficients of the taylor series of the function `f`
evaluated at `x`, with incremental quantity `dx`.
NOTE: The `(constantly dx)` term is what allows this to work with arbitrary
structures of `x` and `dx`. Without this wrapper, `((g/* dx D) f)` with `dx`
== `(up 'dx 'dy)` would expand to this:
`(fn [x] (* (s/up ('dx x) ('dy x))
((D f) x)))`
`constantly` delays the interpretation of `dx` one step:
`(fn [x] (* (s/up 'dx 'dy)
((D f) x)))`
with-and-without-tagclj/s
(with-and-without-tag tag dx)Split the differential into the parts with and without tag and return the pair
Split the differential into the parts with and without tag and return the pair
with-tagclj/s
(with-tag tag dx)The differential containing only those terms with the given tag
The differential containing only those terms with the given tag
without-tagclj/s
(without-tag tag dx)The differential containing only those terms without the given tag
The differential containing only those terms without the given tag
cljdoc is a website building & hosting documentation for Clojure/Script libraries
× close