Article
····第一期，果断不派包，鉴于昨天刚入手一位置欠佳Q1小手枪厂，于是决定派小手枪1支，只有一支哦，可以一边看报一边打，blablablablabla………………
····正文：厕所里的武士刀，你挥得动吗？
····假设你是一个刀不离身的日本武士，有次你去上厕所，很不幸被一群流氓堵在里面，他们要围攻你，你想拔刀应战。但这时候请注意，你是在空间狭小的厕所里，作为一名死理性派，你不禁会想：刀能拔出来吗？拔出来能挥得过去吗？万一挥刀过程中，刀碰到墙壁或者隔板被挡住了，那岂不是太悲剧？
····拔还是不拔，这无疑是一个数学问题：长度为 1 的线段在平面上做刚体移动（转动和平移），转过 180°并回到原位置，扫过的最小面积是多少？
····实际上这也真的是一个数学问题。在 1917 年，在由日本数学家挂谷宗一提出后，过了几十年才找到最终的答案。这个问题后来也被命名为挂谷问题（Kakeya needle problem）。
正常人都能想到的方法
····不妨让我们首先来想想，怎样让线段在平面上划过180°。多数人的第一反应是让线段绕着一端旋转 180° 即半圈的情形。很显然，线段扫过的面积是 π／2 。
····当然，这是很差的一种设计。如果把定点放在线段中点，让线段绕中点旋转180°，情况就会好很多，这是线段扫过的面积为π／4。
数学家的研究
····数学家们肯定不会考虑上述这些几乎没有技术含量的东西。在挂谷宗一提出这个问题后，有数学家发现，若这个线段在正三角形（高为 1，边长为 2/√3 ）中每一顶点处都旋转 60°，可以算出这种情况下，线段扫过面积为 1／√3。
····而挂谷宗一本人想到的是借助三尖内摆线。所谓内摆线，就是一个小圆在和一个固定的大圆内切地滚动时，圆上一点的轨迹：
····当小圆直径为 1／2 ，大圆直径为 3／2 时，在三尖内摆线内去任意一条长为定值 1 的切线，让此切线按在像上述的正三角形内的运动方式旋转，这时线段在旋转时始终与内摆线相切，它的两端也在内摆线上。如下图，黑点为切点，红点为线段中点：
····计算表明，这种情况下线段扫过的面积是 π／8 。挂谷本人及其他许多数学家都认为这就是最小面积了。
最终的答案
····但事情还远远没结束。
····下面的内容过于蛋疼，有兴趣者请自行传送至http://www.guokr.com/article/68848/
····PS：好吧，就当这是我自己的猎艳收藏夹了……
Next article:
Vol.2:战前……动员？No no no！战前放松才是正经事！ (14 years ago)
About the game:
USA as a world power? In E-Sim it is possible!
In E-Sim we have a huge, living world, which is a mirror copy of the Earth. Well, maybe not completely mirrored, because the balance of power in this virtual world looks a bit different than in real life. In E-Sim, USA does not have to be a world superpower, It can be efficiently managed as a much smaller country that has entrepreneurial citizens that support it's foundation. Everything depends on the players themselves and how they decide to shape the political map of the game.
Work for the good of your country and see it rise to an empire.
Activities in this game are divided into several modules. First is the economy as a citizen in a country of your choice you must work to earn money, which you will get to spend for example, on food or purchase of weapons which are critical for your progress as a fighter. You will work in either private companies which are owned by players or government companies which are owned by the state. After progressing in the game you will finally get the opportunity to set up your own business and hire other players. If it prospers, we can even change it into a joint-stock company and enter the stock market and get even more money in this way.
In E-Sim, international wars are nothing out of the ordinary.
Become an influential politician.
The second module is a politics. Just like in real life politics in E-Sim are an extremely powerful tool that can be used for your own purposes. From time to time there are elections in the game in which you will not only vote, but also have the ability to run for the head of the party you're in. You can also apply for congress, where once elected you will be given the right to vote on laws proposed by your fellow congress members or your president and propose laws yourself. Voting on laws is important for your country as it can shape the lives of those around you. You can also try to become the head of a given party, and even take part in presidential elections and decide on the shape of the foreign policy of a given state (for example, who to declare war on). Career in politics is obviously not easy and in order to succeed in it, you have to have a good plan and compete for the votes of voters.
You can go bankrupt or become a rich man while playing the stock market.
The international war.
The last and probably the most important module is military. In E-Sim, countries are constantly fighting each other for control over territories which in return grant them access to more valuable raw materials. For this purpose, they form alliances, they fight international wars, but they also have to deal with, for example, uprisings in conquered countries or civil wars, which may explode on their territory. You can also take part in these clashes, although you are also given the opportunity to lead a life as a pacifist who focuses on other activities in the game (for example, running a successful newspaper or selling products).
At the auction you can sell or buy your dream inventory.
E-Sim is a unique browser game. It's creators ensured realistic representation of the mechanisms present in the real world and gave all power to the players who shape the image of the virtual Earth according to their own. So come and join them and help your country achieve its full potential.
Invest, produce and sell - be an entrepreneur in E-Sim.
Take part in numerous events for the E-Sim community.
