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優(yōu)化模型 數(shù)學(xué)建模 華南理工大學(xué)理學(xué)院數(shù)學(xué)系 劉深泉教授 Experimental Mathematics Computer Formula for Pi In 1996, a PSLQ program discovered this formula for pi: Indeed, this formula permits one to directly calculate binary or hexadecimal (base16) digits of ? beginning at an arbitrary starting position n, without needing to calculate any of the first n1 digits. Srinivasa Ramanujan Optimization mathematical programming choosing the best element from some set of available alternatives ? Linear programming ? Integer programming. ? Quadratic programming ? Nonlinear programming. ? Convex programming ? Semidefinite programming ? Stochastic programming. ? Robust programming.. ? Combinatorial optimization. ? Infinitedimensional optimization ? Heuristic algorithms ? Constraint satisfaction ? Optimal control. ? Dynamic programming. ? Mathematical programming ? 序數(shù)理論,選擇理論 一般最優(yōu)化問(wèn)題 ? 最優(yōu)化問(wèn)題的約束數(shù)學(xué)模型 ? ?nxxxfyM a x ,: 21 ??? ? 0,: 211 ?? nxxxsSt? ? 0, 212 ?? nxxxs? ? 0, 21 ?? nm xxxsComputational optimization techniques ? Single variables Optimization ? Multi variables Optimization ? 優(yōu)化算法 1. Dijkstra 算法, Prim 算法, 3. 最小費(fèi)用, 4. 遺傳算法 ? 算法復(fù)雜性, P, NP問(wèn)題, NPC ? 1000000$ ? Final Submission Countdown Netflix公司 成立于 1997年的美國(guó)最大的在線(xiàn) DVD租賃商 ? Contributed by Lester Mackey ? Only sixteen minutes remained in the $1 million Netflix Prize petition when I handed over the final set of predictions to the Ensemble team captain. The members of our newly minted team had been working furiously through the night, hoping to improve upon our previous day’s score