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Math Notation
k! k factorial
k • ( k - 1 ) • ( k - 2 ) • [...] • 3 • 2 • 1
5! = 5 • 4 • 3 • 2 • 1 = 120
0! = 1
f(k)(t) kth order derivative of a function of time
f(0)(t) = f(t) = 0.5 • t2
f(1)(t) = f'(t) = 0.5 • 2 • t = t
f(2)(t) = f''(t) = 1
f(3)(t) = f'''(t) = 0