Search results
Results from the WOW.Com Content Network
This is a list of radioactive nuclides (sometimes also called isotopes), ordered by half-life from shortest to longest, in seconds, minutes, hours, days and years. Current methods make it difficult to measure half-lives between approximately 10 −19 and 10 −10 seconds.
The year 1514 in science and technology included many events, some of which are listed here. Events. June 13 – Henry Grace à Dieu, at over 1,000 tons the ...
The probabilistic automaton may be defined as an extension of a nondeterministic finite automaton (,,,,), together with two probabilities: the probability of a particular state transition taking place, and with the initial state replaced by a stochastic vector giving the probability of the automaton being in a given initial state.
The probability P A (i + 1|i) follows from the ratio of the number of paths that reach interface i + 1 to the total number of paths in the ensemble. Theoretical considerations show that TIS computations are at least twice as fast as TPS, and computer experiments have shown that the TIS rate constant can converge up to 10 times faster.
In the theory of probability for stochastic processes, the reflection principle for a Wiener process states that if the path of a Wiener process f(t) reaches a value f(s) = a at time t = s, then the subsequent path after time s has the same distribution as the reflection of the subsequent path about the value a. [1]
Maximal entropy random walk (MERW) is a popular type of biased random walk on a graph, in which transition probabilities are chosen accordingly to the principle of maximum entropy, which says that the probability distribution which best represents the current state of knowledge is the one with largest entropy.
where ,,, is a probability distribution. Since p 1 + p 2 + p 3 + p 4 = 1 {\displaystyle p_{1}+p_{2}+p_{3}+p_{4}=1} , a Bell diagonal state is determined by three real parameters. The maximum probability of a Bell diagonal state is defined as p m a x = max { p 1 , p 2 , p 3 , p 4 } {\displaystyle p_{max}=\max\{p_{1},p_{2},p_{3},p_{4}\}} .
and Δt i = t i+1 − t i > 0, t 1 = 0 and t n = T. A similar approximation is possible for processes in higher dimensions. The approximation is more accurate for smaller time step sizes Δt i, but in the limit Δt i → 0 the probability density function becomes ill defined, one reason being that the product of terms