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1.In this article,the author attempts to make a fresh start,demonstrate Lagrange mean value theorem directly by coordinate revolution transformation.
本文尝试另辟新径,避免引入辅助函数而直接用坐标旋转变换来证明Lagrange中值定理。收藏指正
2.If it became customary to sojourn long in places where the air does not naturally penetrate, as in diving-bells sunk in the sea, a supply of air artificially furnished would, like water conveyed into houses, bear a price: and if from any revolution in nature the atmosphere became too scanty for the consumption, or could be monopolized, air might acquire a very high marketable value.
如果 人们习惯于长期居住在空气不能自然地进入的地方(例如沉入海中的潜水钟),那么,人工供应的空气就会象自来水那样具有价格。如果由于自然界的剧烈变革,空气变得极为稀薄,不足以满足人类的需要,或可以独占空气,空气便会获得非常高的市场价格收藏指正
3.Merton Supposition is composed of two different assumptions derived from two different origins. The first refers to that the tradition of craftsmen in the 17th century and the experimental science advocated by Fracis Bacon together gives a powerful impetus to the substantive revolution of modern science and produces a practical value for science.
“默顿命题”是两个来源不同的命题的重合,即:17世纪的工匠传统和培根所提倡的实验科学有力地推动了近代科学的实质性变革并使科学更具实用价值收藏指正
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