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valsi 
fancysuksa 
type 
lujvo 
creator 
krtisfranks 
time entered 
Wed Apr 16 21:53:52 2014 
Examples


English


Definition #56447
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definition 
function f_{1} is discontinuous/abrupt/sharply changes locally (in output) on/at s_{2} (set), with abruptness of type x_{3} (default: 1) 
notes 
s_{2} should be a set within some open subset of definition of f_{1}, or a set on which f_{1} is not defined at all. For x_{3}, an argument of n (number) corresponds to a differentiability class of order n, to which f_{1} does NOT belong at points in set s_{2}; notice that such an n makes no implications about the truth value of f_{1} belonging to any given differentiability classes of order m < n, but f_{1} 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 s_{2} will have n≤1. For now at least, n can be a nonnegative integer; generalizations may eventually be defined. This lujvo is not perfectly algorithmic/predictable.

gloss words 

created by 
krtisfranks 
vote information 
3

time 
Sun Jul 12 14:00:41 2020 



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