joj2410: The knight problem
The Problem
2023-09-11 14:16:05 时间
German collegiate programming contest 2012 - Ski Jumping
首先用动能定理算出平抛的初速度v0，然后分三种情况，0~L/2,L/2~L,L~无穷远。
A Knight s Journey 总时间限制: 1000ms 内存限制: 65536kB描述BackgroundThe knight is getting bored of seeing the same black and white squares again and again and has decided to make a journeyaround the world.
917:Knight Moves 题目链接：http://noi.openjudge.cn/ch0205/917/ 原题应该是hdu 1372 总时间限制: 1000ms 内存限制: 65536kB BackgroundMr Somurolov, fabulous chess-gamer indeed, asserts ...
蒙提霍尔问题，亦称为蒙特霍问题或三门问题（Monty Hall problem），是一个源自博弈论的数学游戏问题. 这个游戏的玩法是：参赛者会看见三扇关闭了的门，其中一扇的后面有一辆汽车，选中后面有车的那扇门就可以赢得该汽车，而另外两扇门后面则各藏有一只山羊。
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]PrI.6.1 Given a basis $U=(u_1,\cdots,u_n)$ not necessarily orthonormal, in $\scrH$, how would you compute the biorthogonal basis $\sex{v_1,\cdots,v_n}$? Find ...
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.8 Prove that for any matrices $A,B$ we have $$\bex |\per (AB)|^2\leq \per (AA^*)\cdot \per (B^*B). \eex$$ (The corresponding relation for determinants is an easy equality.
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.1 Show that the inner product $$\bex \sef{x_1\wedge \cdots \wedge x_k,y_1\wedge \cdots\wedge y_k} \eex$$ is equal to the determinant of the $k\times k$ matrix $\sex{\sef{x_i,y_j}}$.
A Knight s Journey 总时间限制: 1000ms 内存限制: 65536kB描述BackgroundThe knight is getting bored of seeing the same black and white squares again and again and has decided to make a journeyaround the world.
917:Knight Moves 题目链接：http://noi.openjudge.cn/ch0205/917/ 原题应该是hdu 1372 总时间限制: 1000ms 内存限制: 65536kB BackgroundMr Somurolov, fabulous chess-gamer indeed, asserts ...
蒙提霍尔问题，亦称为蒙特霍问题或三门问题（Monty Hall problem），是一个源自博弈论的数学游戏问题. 这个游戏的玩法是：参赛者会看见三扇关闭了的门，其中一扇的后面有一辆汽车，选中后面有车的那扇门就可以赢得该汽车，而另外两扇门后面则各藏有一只山羊。
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]PrI.6.1 Given a basis $U=(u_1,\cdots,u_n)$ not necessarily orthonormal, in $\scrH$, how would you compute the biorthogonal basis $\sex{v_1,\cdots,v_n}$? Find ...
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.8 Prove that for any matrices $A,B$ we have $$\bex |\per (AB)|^2\leq \per (AA^*)\cdot \per (B^*B). \eex$$ (The corresponding relation for determinants is an easy equality.
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.1 Show that the inner product $$\bex \sef{x_1\wedge \cdots \wedge x_k,y_1\wedge \cdots\wedge y_k} \eex$$ is equal to the determinant of the $k\times k$ matrix $\sex{\sef{x_i,y_j}}$.
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