揭秘JavaScript未来:TC39会议与关键技术发展

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在"Let's work together on the future of JavaScript through TC39.pdf"这份文件中,核心成员Daniel Ehrenberg分享了JavaScript语言的发展历程及其未来规划。TC39是ECMA(欧洲计算机协会)下设的一个专门委员会,负责制定JavaScript语言的标准和特性。这个委员会由JavaScript开发者、引擎制造商、编译器开发者、框架库提供者、学术界专家以及各大网站和应用平台的代表组成,甚至包括来自中国的公司,体现了JavaScript生态系统广泛的合作与参与。 TC39的会议频率是每两个月一次,为期三天,主要议题围绕JavaScript语言的变更讨论。在这个过程中,委员们会提出新特性提案,旨在寻求共识并决定其在语言中的发展阶段。这些会议不仅是技术讨论的舞台,也促进了社区间的交流与学习。 Daniel在文档中提到了他在WebKit和Chromium开发中的工作,特别是在嵌入式环境下的WebKit和驱动器开发,如Mesa和GStreamer,这些经验对JavaScript在浏览器中的标准实施和优化有着直接的影响。他强调了JavaScript在CSS、ARIA、WebAssembly、MathML等领域的重要角色,这些都是现代Web技术的核心组成部分。 此外,他还引用了中国古代的格言,表达了学习和实践的乐趣,以及欢迎来自不同背景的朋友共同参与JavaScript的发展,强调了开放合作的重要性。通过TC39的工作,JavaScript不断进化,保持其在Web技术领域的领先地位,为全球开发者提供了丰富的创新可能性。 这份文档深入剖析了TC39在JavaScript未来发展中的角色,以及它如何通过规范制定、技术交流和跨领域合作推动语言的进步,确保JavaScript能满足日益增长的Web开发需求。

(a) Consider the case of a European Vanilla Call option which is path independent. Examine the convergence of the Monte Carlo Method using the programme given in ‘MC Call.m’. How does the error vary with the number of paths nP aths? The current time is t = 0 and the Expiry date of the option is t = T = 0.5. Suppose that the current value of the underlying asset is S(t = 0) = 100 and the Exercise price is E = 100, with a risk free interest rate of r = 0.04 and a volatility of σ = 0.5. (b) Now repeat part (a) above but assume that the volatility is σ = 0.05. Does the change in the volatility σ influence the convergence of the Monte Carlo Method? (c) Now repeat part (a) but instead of taking one big step from t = 0 to t = T divide the interval into nSteps discrete time steps by using the programme given in ‘MC Call Small Steps.m’. Confirm that for path independent options, the value of nP aths determines the rate of convergence and that the value of nSteps can be set to 1. (d) Now let us consider path dependent options. The programme given in ‘MC Call Small Steps.m’ is the obvious starting point here. We assume that the current time is t = 0 and the expiry date of the option is t = T = 0.5. The current value of the underlying asset is S(t = 0) = 100 and the risk free interest rate is r = 0.05 and the volatility is σ = 0.3. (i) Use the Monte Carlo Method to estimate the value of an Arithematic Average Asian Strike Call option with Payoff given by max(S(T) − S, ¯ 0). (ii) Use the Monte Carlo Method to estimate the value of an Up and Out Call option with Exercise Price E = 100 and a barrier X = 150. (iii) Comment on the the rate of convergence for part (i) and (ii) above with respect to the parameters nP aths and nP aths使用matlab编程

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用代码解决这个问题The program committee of the school programming contests, which are often held at the Ural State University, is a big, joyful, and united team. In fact, they are so united that the time spent together at the university is not enough for them, so they often visit each other at their homes. In addition, they are quite athletic and like walking. Once the guardian of the traditions of the sports programming at the Ural State University decided that the members of the program committee spent too much time walking from home to home. They could have spent that time inventing and preparing new problems instead. To prove that, he wanted to calculate the average distance that the members of the program committee walked when they visited each other. The guardian took a map of Yekaterinburg, marked the houses of all the members of the program committee there, and wrote down their coordinates. However, there were so many coordinates that he wasn't able to solve that problem and asked for your help. The city of Yekaterinburg is a rectangle with the sides parallel to the coordinate axes. All the streets stretch from east to west or from north to south through the whole city, from one end to the other. The house of each member of the program committee is located strictly at the intersection of two orthogonal streets. It is known that all the members of the program committee walk only along the streets, because it is more pleasant to walk on sidewalks than on small courtyard paths. Of course, when walking from one house to another, they always choose the shortest way. All the members of the program committee visit each other equally often. Input The first line contains the number n of members of the program committee (2 ≤ n ≤ 105). The i-th of the following n lines contains space-separated coordinates xi, yi of the house of the i-th member of the program committee (1 ≤ xi, yi ≤ 106). All coordinates are integers. Output Output the average distance, rounded down to an integer, that a member of the program committee walks from his house to the house of his colleague.

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