第87章 Zeta函数非平凡零点的计算残卷
笔趣阁(biquge2345.com)更新快,无弹窗!
不过这也让李东更加的震撼。
「就算我的电脑不行,代码也有待优化,可是这毕竟是距离黎曼150多年的矽基产物呀。」
「黎曼是怎麽硬生生手算出前1104个零点的?」
「这根本不符合常识啊————」
李东立刻闭上眼睛,0.3的恐怖数值直接拉满,再次潜入了那份《黎曼绝笔》手稿中。
他不再看前面的基础推导,而是看向了手稿後半部分,那些像是胡乱涂鸦的代数代换、鞍点法近似和积分路径的偏移。
看了足足二十分钟,他才睁开眼睛。
「原来是这样————」
李东兴奋异常。
「这不是普通的数学推导,这是————算法降维。」
他终於看明白了!黎曼在一百多年前,为了突破肉身的算力极限,硬生生发明了一套化简算法黎曼并没有像李东写的Python代码那样,傻乎乎的去硬算无穷级数的每一项。
他利用最速下降法(鞍点法)对ζ函数的积分表达式做渐近展开,通过摺叠主和项与余项的对称项,硬生生把原本随虚部t线性增长的计算复杂度0(t),直接降维到了0
(√t)!
这才是黎曼能用纸笔算出1104个零点的真正底牌!而这套算法,随着黎曼的英年早逝和手稿的遗失,彻底埋葬在了历史的尘埃中。
别人没有,但他李东有!
「如果我能把黎曼手稿里的这套算法,嵌套进现代计算机的代码里————」
李东兴奋地舔了舔嘴唇。
但是,兴奋过後,他又冷静了下来。
他现在虽然懂一点Python的皮毛。
但要把黎曼的数学优化思维,完美的翻译成现代计算机的底层代码架构,这需要极其深厚的计算机科学功底。
数据结构、内存指针管理、空间换时间的算法优化,甚至是更底层的C/C++语言。
这些,他都不会。
「看来,我还得狠狠的去啃一波计算机算法了!」
只要他能把黎曼的这套算法重现於世,写进代码里,绝对能让这个世界的数学界和计算机界发生大地震!
>
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