搞乜咁科學 GMG Science

搞乜咁科學 #3 - 規律 Pattern🐆


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歡迎嚟到 搞乜咁科學 GMG Science 第3集!

今集嘅主題係規律Pattern!Keith會講一個同國家人口、原子重量同金詐騙都有關嘅數字規律,Abellona會解釋究竟豹嘅斑點係點樣黎嘅呢?

喂!好奇心,係時候醒喇 :)

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班佛定律 Benford’s Law
Benford's Law Wikipedia

Newcomb, S. (1881). Note on the frequency of use of the different digits in natural numbers. American Journal of mathematics, 4(1), 39-40. 

Benford, F. (1938). The law of anomalous numbers. Proceedings of the American philosophical society, 551-572. 

用Benford’s Law發現會計數據有問題?!
Durtschi, C., Hillison, W., & Pacini, C. (2004). The effective use of Benford’s law to assist in detecting fraud in accounting data. Journal of forensic accounting, 5(1), 17-34.

選舉票數有問題都一樣check到!
Roukema, Boudewijn F. (2014). "A first-digit anomaly in the 2009 Iranian presidential election". Journal of Applied Statistics

拜登選票唔乎合 Benford’s Law? - Stand-up Maths on YouTube


 豹嘅斑點係點黎?!

Turing pattern 圖靈規律 Wikipedia

TURING, A. (1952). THE CHEMICAL BASIS OF MOKPHOGENESIS. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences237(641), 37-72.


用電腦模擬運算圖靈model而產生規律的例子

Headon, D. J., & Painter, K. J. (2009). Stippling the skin: Generation of anatomical periodicity by reaction-diffusion mechanisms. Mathematical Modelling of Natural Phenomena4(4), 83-102.


用圖靈Model 可以解釋到生物界嘅其他規律嘅生成

Kondo, S., & Miura, T. (2010). Reaction-diffusion model as a framework for understanding biological pattern formation. Science329(5999), 1616-1620.

Marcon, L., & Sharpe, J. (2012). Turing patterns in development: what about the horse part? Current opinion in genetics & development22(6), 578-584.

用生物模擬(口內的上顎)實踐到圖靈規律出黎

Economou, A. D., Ohazama, A., Porntaveetus, T., Sharpe, P. T., Kondo, S., Basson, M. A., ... & Green, J. (2012). Periodic stripe formation by a Turing mechanism operating at growth zones in the mammalian palate. Nature genetics44(3), 348-351.


定斷貓有幾多白色的基因

David, V. A., Menotti-Raymond, M., Wallace, A. C., Roelke, M., Kehler, J., Leighty, R., ... & Ryugo, D. K. (2014). Endogenous retrovirus insertion in the KIT oncogene determines white and white spotting in domestic cats. G3: Genes, Genomes, Genetics4(10), 1881-1891.

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搞乜咁科學 GMG ScienceBy Dr Abellona U & Keith Poon