摘要: Although ethnic民族的,种族的 Greek mathematicians continued under the rule of the late Roman Republic and subsequent后来的 Roman Empire, there were no notewort 阅读全文
posted @ 2020-09-12 21:42 valar-morghulis 阅读(431) 评论(0) 推荐(0) 编辑
摘要: 取\(x_n=\frac{1}{nΠ}\) \(lim_{n→∞}x_n=0,且x_n≠0\) 取\(x'_n=\frac{1}{\frac{4n+1}{2}Π},lim_{n→∞}x'_n=0,且x’_n≠0\) 而\(lim_{n→∞}sin\frac{1}{x_n}=lim_{n→∞}sinn 阅读全文
posted @ 2020-09-06 17:25 valar-morghulis 阅读(240) 评论(0) 推荐(0) 编辑
摘要: Greek mathematics refers to the mathematics written in the Greek language from the time of Thales塔莱斯 of Miletus米利都 城 (~600 BC) to the closure关闭 of the 阅读全文
posted @ 2020-09-03 20:10 valar-morghulis 阅读(394) 评论(0) 推荐(0) 编辑
摘要: 假设质数只有有限的n个,从小到大依次排列为\(p_1,p_2,……,p_n,设 N = p_1× p_2×……×p_n\),那么,N+1是质数或是合数。如果N+1为质数,则N+1要大于\(p_1,p_2,……,p_n\),所以它不在那些假设的质数集合中。如果N+1为合数,因为任何一个合数都可以分解为 阅读全文
posted @ 2020-08-29 18:37 valar-morghulis 阅读(751) 评论(0) 推荐(0) 编辑
摘要: Egyptian mathematics refers to mathematics written in the Egyptian language. From the Hellenistic period, Greek replaced Egyptian as the written langu 阅读全文
posted @ 2020-08-26 18:20 valar-morghulis 阅读(453) 评论(0) 推荐(0) 编辑
摘要: 二位柯西不等式\((ac+bd)^2≤(a^2+b^2)(c^2+d^2)\) 如图,两张图片中颜色相同的三角形全等,且均为直角三角形,不妨设蓝色三角形的直角边边长分别为a、b,黄色三角形的直角边边长分别为c、d。显然,两种图片中中心白色的部分分别为平行四边形和矩形,且两图形对应边长分别相等,设平行 阅读全文
posted @ 2020-08-23 17:59 valar-morghulis 阅读(1034) 评论(0) 推荐(0) 编辑
摘要: Babylonian mathematics refers to any mathematics of the peoples of Mesopotamia美索不达米亚 (modern Iraq) from the days of the early Sumerians苏美尔人 through th 阅读全文
posted @ 2020-08-22 22:13 valar-morghulis 阅读(186) 评论(0) 推荐(0) 编辑
摘要: 在区间(a, b)上,f(x)和g(x)都可导、g′(x) ≠ 0、limx → a+f(x) = limx → a+g(x) = 0, $$\lim_{x \rightarrow a^{+}}\frac{f\left( x \right)}{g\left( x \right)} = \lim_{x 阅读全文
posted @ 2020-08-18 17:49 valar-morghulis 阅读(3655) 评论(0) 推荐(0) 编辑
摘要: Prehistoric史前的 The origins of mathematical thought lie in the concepts of number, magnitude量,等级, and form. Modern studies of animal cognition认知 have s 阅读全文
posted @ 2020-08-16 10:59 valar-morghulis 阅读(584) 评论(0) 推荐(0) 编辑
摘要: 设\(x_1,x_2,x_3.....x_n\)为n个正整数,它们的算数平均值为\(A_n=\frac{x_1+x_2+x_3+.....+x_n}{n}\),它们的几何平均值为\(G_n=(x_1x_2x_3.....x_n)^{1/n},对于任意正实数x_1,x_2,x_3.....x_n\)总 阅读全文
posted @ 2020-08-09 16:45 valar-morghulis 阅读(430) 评论(1) 推荐(0) 编辑