So much emotion, the maths speaks for itself, where R(x) : ℝ →...

So much emotion, the maths speaks for itself, where R(x) : ℝ → ℝ0+ using the example of 0 for negative inputs, output equals input for non-negative inputs.

And if your fickle about how this applies to finance, well, the payoff of a call option is a ramp (shifted by strike price). Horizontally flipping a ramp yields a put option, while vertically flipping (taking the negative) corresponds to selling or being "short" an option. the shape is widely called a "hockey stick", due to the shape being similar to an ice hockey stick.

Ok now all the hard googling work is done for you, you should all be clear now about how to define a ramp and how it applies to finance? Good, next thread please.