Brownian motion is studied with stochastic differential equations whose solutions are this kind of process. For 10 points each:
[10e] Give this property of variables drawn from a probability distribution. A cubic dice is a method of generating an integer with this property between one and six.
ANSWER: randomness
[10h] Stochastic differential equations are a branch of this person’s calculus. This person’s namesake integral contrasts with the ‘Stratanovich’ integral.
ANSWER: Kiyosi Itô
[10m] The Itô-Stratanovich controversy can be viewed as asking for the value of this discontinuous function at an argument of zero. The Dirac delta is sometimes said to be the derivative of this function.
ANSWER: Heaviside theta function [accept either part; accept unit step function or Heaviside step function]