fancysuksa
valsi
fancysuksa
type
lujvo
creator
time entered
Wed Apr 16 21:53:52 2014
English
Definition #56447 - Preferred
definition
function f1 is discontinuous/abrupt/sharply changes locally (in output) on/at s2 (set), with abruptness of type x3 (default: 1)
notes
s2 should be a set within some open subset of definition of f1, or a set on which f1 is not defined at all. For x3, an argument of n (number) corresponds to a differentiability class of order n, to which f1 does NOT belong at points in set s2; notice that such an n makes no implications about the truth value of f1 belonging to any given differentiability classes of order m < n, but f1 cannot belong to differentiability classes of order m > n; n = 0 implies that the function is not continuous on that set (lack of definition there is sufficient for such a claim); a function that is discontinuous or which has a cusp or sharp 'corner' in its graph/plot (meaning that its derivative is discontinuous) at points in s2 will have n≤1. For now at least, n can be a non-negative integer; generalizations may eventually be defined. This lujvo is not perfectly algorithmic/predictable.
gloss words
created by
vote information
3
time
Sun Jul 12 14:00:41 2020
Examples