Hyppysepäjatkuvuus
Hyppysepäjatkuvuus, sometimes translated as jump discontinuity or simple discontinuity, refers to a type of discontinuity in a mathematical function where the function has a finite jump from one value to another at a specific point. At a point x = a, a function f(x) exhibits a hyppysepäjatkuvuus if the limit of the function as x approaches a from the left exists and is finite, and the limit of the function as x approaches a from the right also exists and is finite, but these two limits are not equal. Formally, this means that lim_{x->a^-} f(x) = L1 and lim_{x->a^+} f(x) = L2, where L1 and L2 are finite numbers and L1 != L2.
The value of the function at the point x = a, f(a), can either be equal to L1,