Monte Carlo method for modelling the copolymerization of isobutylene and isoprene

Reverse Monte Carlo modelling

Reverse Monte Carlo (RMC) modelling is a general method of structural modelling based on experimental data. RMC modelling can be applied to many different sorts of data, simultaneously if wished. Powder and single-crystal neutron diffraction (including isotopic substitution), x-ray diffraction (including anomalous scattering) and electron diffraction, extended x-ray absorption fine structure an...

The Monte-Carlo Method

The Monte Carlo Method

The Monte Carlo method is often referred to as a ‘computer experiment’. One might think of this as a way of conveying the fact that the output of simulations is not an equation, as in conventional theory. Instead, numbers appear on the computer screen in somewhat the same way that numbers appear on a measuring device in the laboratory. Thus there is the implication that somehow simulations are ...

The Monte Carlo Method

The Monte Carlo method is often referred to as a ‘computer experiment’. One might think of this as a way of conveying the fact that the output of simulations is not an equation, as in conventional theory. Instead, numbers appear on the computer screen in somewhat the same way that numbers appear on a measuring device in the laboratory. Thus there is the implication that somehow simulations are ...

Graphs & The Monte Carlo Method

Definition 4. BBP is the class of languages L that have a poly time algorithm A that for any string x, and a long random string r, • x ∈ L⇒ Pr[A(x, r)rejects] ≤ 1/100 • x 6∈ L⇒ Pr[A(x, r)accepts] ≤ 1/100 Observation 5. By repeating this algorithm k times with random strings r1...rk, the probability that the majority of the outcomes is incorrect is 1/2Ω(k) (proved this with Chernoff bound on a p...