Mathematics mechanization: mechanical geometry by Wu Wen-tsun

By Wu Wen-tsun

A suite of essays founded round mathematical mechanization, facing arithmetic in an algorithmic and confident demeanour, with the purpose of constructing mechanical, automatic reasoning. Discusses historic advancements, underlying ideas, and contours functions and examples.

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Sample text

In the ranges ([12-21],[12-21],[0-1]). ;;; The actions are hit or stick, t or nil (defvar (defvar (defvar (defvar (defvar (defvar (defvar V) policy) N) dc) pc) ace) episode) ; ; ; ; Number of returns seen for this state count of dealer's showing card total count of player's hand does play have a usable ace? ) -1) (t (loop while (< dcount 17) for card = (card) do (incf dcount card) (when (AND (not dace) (= card 1)) (incf dcount 10) (setf dace t)) (when (AND dace (> dcount 21)) (decf dcount 10) (setq dace nil)) finally (return (cond ((> dcount 21) 1) ((> dcount pc) -1) ((= dcount pc) 0) (t 1)))))))) (defun draw-card () (let (card) (setq card (card)) (incf pc card) (when (AND (not ace) (= card 1)) (incf pc 10) (setf ace t)) (when (AND ace (> pc 21)) (decf pc 10) (setq ace nil)))) (defun bust?

Trial 60 was 1009 steps. Trial 61 was 1050 steps. Trial 62 was 4815 steps. Trial 63 was 863 steps. Trial 64 was 9748 steps. Trial 65 was 14073 steps. Trial 66 was 9697 steps. Trial 67 was 16815 steps. Trial 68 was 21896 steps. Trial 69 was 11566 steps. Trial 70 was 22968 steps. Trial 71 was 17811 steps. Trial 72 was 11580 steps. Trial 73 was 16805 steps. Trial 74 was 16825 steps. Trial 75 was 16872 steps. Trial 76 was 16827 steps. Trial 77 was 9777 steps. Trial 78 was 19185 steps. Trial 79 was 98799 steps.

Trial 56 was 1131 steps. Trial 57 was 1055 steps. Trial 58 was 967 steps. Trial 59 was 1061 steps. Trial 60 was 1009 steps. Trial 61 was 1050 steps. Trial 62 was 4815 steps. Trial 63 was 863 steps. Trial 64 was 9748 steps. Trial 65 was 14073 steps. Trial 66 was 9697 steps. Trial 67 was 16815 steps. Trial 68 was 21896 steps. Trial 69 was 11566 steps. Trial 70 was 22968 steps. Trial 71 was 17811 steps. Trial 72 was 11580 steps. Trial 73 was 16805 steps. Trial 74 was 16825 steps. Trial 75 was 16872 steps.

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