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madhava:PDE的自动分化整合
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2021-05-17
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玛达瓦 ”将圆弧乘以圆弧的平方,并得到重复该结果(任意次)的结果。 用上述每个分子的平方除以连续偶数的平方,再乘以该数再乘以半径的平方。 将弧线和如此获得的连续结果放在另一个下面,然后从上面的一个减去每个结果。 这些共同构成了吉瓦,就像在诗句中以“ vidvan”等开头的一样。” (约1350年至1425年),喀拉拉邦天文与数学学院的创始人 Madhava是一个Clojure库,用于和积分偏微分方程。 Madhava与大多数现有的AD库使用不同的技术。 一次生成给定顺序的所有部分,并存储在整数基数尝试中。 函数以的单项式哈希图表示,指数的元组作为键,相应的系数作为值。 这种方法既简单又非常快速:能够在商品CPU上以约0.1ms的时间从多毛的三维函数生成四阶偏导数。 其他功能包括算术运算,功能组合,散度,梯度,卷曲,方向导数,法线向量,拉普拉斯算子和几种常见的泰勒级数。 由于函数可以
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