Hash functions are used in cryptography and have various levels of complexity and difficulty. Hash functions are used for cryptocurrency, password security, and message security.

Sketch derived, inverse or other related functions using graph translations. Complete the square and find composite functions for Higher Maths.

We show that the critical probability for the frog model on a graph is not a monotonic function of the graph. This answers a question of Alves, Machado and Popov. The nonmonotonicity is unexpected as ...

We study the pluripolar hull of the graph of a holomorphic function f, defined on a domain D ⊂ ℂ outside a polar set A ⊂ D. This leads to a theorem that describes under what conditions f is nowhere ...

GCSE WJEC Functions - Higher only – WJEC Functions Functions of graphs can be transformed to show shifts and reflections. Graphic designers and 3D modellers use transformations of graphs to ...