It is important to get a good initial solution, which Vogel's approximate method does by considering the opportunity cost of not using the cheapest-cost route in each row and column, then allocating as much material as possible to the route which has the highest such value.
32.
This running time is fine for applications with a small number of source vectors, like topic sensitive PageRank, but for an application like recommending who to follow on Twitter, where every user has their own source vector, faster approximate methods like the Selective Expansion Algorithm or Monte Carlo are preferable.
33.
MC methods that have been used to compute titration curves are Wang Landau MC . Approximate methods that use a mean-field approach for computing titration curves are the Tanford Roxby method and hybrids of this method that combine an exact statistical mechanics treatment within clusters of strongly interacting sites with a mean-field treatment of intercluster interactions.
34.
87 / 88 . " An Approximate Method to Estimate Wing Trailing-Edge Bluntness Effects on Normal Force ", AIAA Paper NO . 2004-16, Jan . 2004 and JSR Vol . 41, NO . 6, Nov . Dec . 2004, pps . 932-941 ( written with T . Hymer ).
35.
He is best known for his work in chemical engineering and hydrodynamics including the approximate methods for solving nonlinear differential equations of mass, heat, and momentum transfer; mathematical modeling of chemical reactor processes and catalytic distillation; heat, mass, and momentum transfer in turbulent flow; fluid dynamics in granular beds; surface convection ( Marangoni instability ), absorption, and molecular convection.
36.
Main results in chemical engineering include the development of a novel filtration process depth membrane filtration, systematic study of nonuniform particle deposition on the inner and outer surfaces of ultrafiltration and microfiltration membranes, Main results in computer science and computational mathematics include the development of an approximate method for nonlinear differential and integrodifferential equations and development of a feedback algorithm for switch location with application to network design.
37.
Dilman developed several approximate methods for solving complicated mass, heat, and momentum transfer problems; proposed a wave model for describing the longitudinal dispersion in turbulent flow; identified the conditions at which the Marangoni effect can occur; showed that the diffusion evaporation mode in unsteady evaporation of liquid into gas may lose its stability if the molecular weight of the evaporating liquid is smaller than that of the gas in contact with this liquid.
38.
Therefore the Earth's perihelion would rise to give a perihelion speed about 500 mph faster ( yes, I know, this is an approximate method, but it's good enough for this purpose ) or 66, 840 mph; the perihelion would therefore be at 94, 500, 000 * 66, 340 / 66, 840 = 93, 800, 000 miles, and the mean distance would be 94, 150, 000 miles.
39.
It is " The Calculation of Critical Masses Including the Effects of the Distribution of Neutron Energies ", by Feynman, R . P .; Welton, T . A .; Ashkin, J .; Ehrlich, R .; Peshkin, M .; and Reines, F . Report LA-524 ( Del . ) January 21, 1947 ( extract from abstract : " Convenient approximate methods are developed for the calculation of critical sizes and multiplication rates of spherical, active cores surrounded by infinite tampers.
