一枚硬幣連續擲出五次正面，同一條路線的列車在同一天發生了兩宗意外，或是隨機播放清單連續給你三首由相同歌手演唱的歌曲。這似乎並不是巧合，但真正的隨機也許未如我們想像中的那樣…..
Tag: Mathematical Sciences
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Shuffle Playlist. Shuffle Playlist. Shuffle Playlist…
A coin comes up heads five times in a row. Two accidents happen on the same train line in one day. Or a shuffled playlist plays you the same artist three times running. Sometimes it seems like something other than coincidence is at work, but true randomness may not always feel that way to us…..
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HINCare: An Intelligent Community Support and Timebanking System
In Hong Kong, the number of elderly citizens is estimated to rise to one third of the population, or around 2.37 million, by year 2037. As they age and become frailer, the demand for formal support services (e.g., providing domestic or elderly escort services) will increase significantly in the coming years. However, there is a severe lack of manpower to meet these needs. Some elderly-care homes reported a 70% shortage of employees. There is thus a strong need of voluntary or part-time helpers for taking care of the elderly…
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HINCare : 智能社區資源及時間銀行系統
到2037年，香港長者人數估計將會佔1/3人口，達二百三十七萬人。隨著年齡和身體機能減弱，這些長者對個人支援服務（例如家居護理和外出接送等）需求，也會隨之顯著增加，但相關社會服務所需配套的人力資源，卻是一大問題。有些長者院舍甚至預示，他們將會面對70%的人手短缺，逼切需要義務工作者或兼職員工的幫助，來舒緩長者照顧服務的需求…
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HINCare : 智能社区资源及时间银行系统
到2037年，香港长者人数估计将会占1/3人口，达二百三十七万人。随著年龄和身体机能减弱，这些长者对个人支援服务（例如家居护理和外出接送等）需求，也会随之显著增加，但相关社会服务所需配套的人力资源，却是一大问题。有些长者院舍甚至预示，他们将会面对70%的人手短缺，逼切需要义务工作者或兼职员工的帮助，来舒缓长者照顾服务的需求…
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孪生质数猜想与博学者计划
有些数学问题是常人完全不能理解的，譬如黎曼猜想（Riemann hypothesis）需要用到不少高等数学知识才能解释；可是也有些问题是十岁小孩也能明白的。著名的孪生质数猜想（Twin Prime Conjecture）绝对能被归类为后者…
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孿生質數猜想與博學者計劃
有些數學問題是常人完全不能理解的，譬如黎曼猜想（Riemann hypothesis）需要用到不少高等數學知識才能解釋；可是也有些問題是十歲小孩也能明白的。著名的孿生質數猜想（Twin Prime Conjecture）絕對能被歸類為後者…
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The Twin Prime Conjecture and the Polymath Project
There are math problems that are thoroughly incomprehensible to the layman – the Riemann hypothesis needs a fair amount of sophisticated math to explain, for example. And then there are those that even a ten-year-old could understand. The famous Twin Prime Conjecture is definitely in the latter category…
