This is a boin function. "Boin" means a breast in japanese. This function was designed to be a new member of trigonometric functions (i.e. sin, cos, tan). Improvements are always welcome. Definition Let A be {(x,y) ∈ ℝ2 | (|x|-1)2+y2≦1}. boin: A→ℝ is a function defined as follows: boin(x, y) = sqrt(1-(|x|-1)2-y2) + sqrt(max(0, 0.01-(|x|-1)2-y2)). Properties boin function is continuous and bounded.