However, when the sample size or the number of parameters is large, full Bayesian simulation can be slow, and people often use approximate methods such as variational Bayes and expectation propagation.
22.
The formulas involved can be complex and in some cases, such as in the ECEF to geodetic conversion above, the conversion has no closed-form solution and approximate methods must be used.
23.
In 1983 in collaboration with Robert Parr, he refined the HSAB theory into a quantitative method by calculating values of absolute hardness using density functional theory, an approximate method in molecular quantum mechanics.
24.
BIP-8 has no error-correcting functionality : like the CRC-6 bits in the much older extended superframe format, it merely provides an approximate method for monitoring link quality at the bit error level.
25.
These approximate methods were ( and are ) often used together with the central field approximation, to impose that electrons in the same shell have the same radial part, and to restrict the variational solution to be a spin eigenfunction.
26.
19 / 20 . " A New Approximate Method for Calculating Real Gas Effects on Missile Configurations ", AIAA Paper No . 92-4637, Atmospheric Flight Mechanics Conference, Aug 1992 ( written with Armistead, Rowles, DeJarnette ).
27.
Some simpler approximate methods, such as those of Miyata & Yasunaga and Nei & Gojobori, neglect to take these into account, which generates a faster computational time at the expense of accuracy; these methods will systematically overestimate N and underestimate S.
28.
Therefore micromagnetics has evolved approximate methods which assume that the magnetization of dipoles in the bulk of the domain, away from the wall, all point in the same direction, and numerical solutions are only used near the domain wall, where the magnetization is changing rapidly.
29.
If one is going to solve the Einstein field equations using approximate methods such as the post-Newtonian expansion, then one should try to choose a coordinate condition which will make the expansion converge as quickly as possible ( or at least prevent it from diverging ).
30.
The court rejected the state's arguments that damages should be limited to the fair market value of the land at the time of the transaction, without pre-judgement interest ( the approximate method used by the Indian Claims Commission for statutory claims against the federal government ).
