/sci/ - Science & Math

>>15082042
>Yeah I forgot to mention in my original post that I am in the integer ring.
First of all, the statement isn't true over the integers ring. See the sum of sequential integers formula for the most basic counterexample possible.
Second of all, I said difference, not differential. [math]\Delta f(x) = f(x + 1) - f(x)[/math] Prove that [math]\Delta ^n f(x) = 0[/math] implies [math]f[/math] is a polynomial and you're done.

>>15054445
Define "win".
Get at least two wins (and, hence, profit)?
Use the properties for the Bernoulli to calculate the probabilities of getting 0 or 1 successes and then subtract that from 1.