The blancmange function (also called the Tagaki function or curve) is a bumpy, pudding-shaped, nowhere differentiable function.
Originally called the Tagaki function, after its creator, it was renamed the blancmange function by Tall (1982).
Notation for the Blancmange Function
In simpler terms, the blancmange function is like a fractal, made up of an infinite number of smaller “blancmanges.” It can be constructed by adding up sawtooth function iterations to infinity (Tall, 2013).
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