42,308 research outputs found

    MATHEMATICS OF HUNG-PING TSAO

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    Tsao, Hung-ping (2020). Mathematics of Hung-ping Tsao. In: "Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)", Wang, Lawrence K. and Tsao, Hung-ping (editors). Volume 2, Number 11, November 2020; 336 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA. No. STEAM-VOL2-NUM11-NOV2020; ISBN 978-0-9890870-3-2.............ABSTRACT: I would like to share some of my ideas in Number Theory, Actuarial Mathematics, Sudoku Solving and Optimization Teaching with college students and colleagues. ............KEYWORDS: Natural sequence, AP-sequence, Power-sum, Product-sum, Sorting, Combination, Permutation, Cycle, Subset, Binomial coefficient, Stirling number, Pascal triangle, Bernoulli coefficient, Eulerian number, Bell number, Ordered Bell polynomial, Eulerian Bell polynomial, Recursive formula, q-Gaussian coefficient, Life insurance, Life annuity, Interest, Mortality, Contingency, Premium, Reserve, Sudoku, Puzzle, Row, Column, Box, Unique solution, Flipflops chain, Residue

    MATHEMATICS OF HUNG-PING TSAO II: BUSINESS MATHEMATICS

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    Tsao, Hung-ping (2023). Mathematics of Hung-Ping Tsao II: Business Mathematics.In: "Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)", Wang, Lawrence K. and Tsao, Hung-ping (editors). 5 (4), April ; 238 p. Lenox Institute Press, MA, USA ..... ABSTRACT: During my seventeen years (1985-2002) of teaching at College of Business, San Francisco State University, the tailor-made textbook “College Mathematics” for my classes has been out of print for over twenty years now. I would like to share its contents, except for problem sections, with readers who might benefit from quite a few innovative ideas in pedagogical perspectives. The purpose of this sequel of “MATHEMATICS OF HUNG-PING TSAO” (see the link h-tsao-2020-hcommons.org) is to share, retrospectively, with readers the stem of my teaching resources. I would especially like to refresh my Kung-fu analogy of those differentiation rules, new approach in solving optimization problems in calculus and the cross-multiplication method for solving linear programming problems. All in all, my doctoral dissertation “Some Extremal Problems in Ordered Structures” played an important role in my tortuous career, Part I and Part II of which were published more than ten years after their submissions to the Journal of Discrete Mathematics. I was mistreated by the Journal of Discrete Mathematics when Daniel J. Kleitman was the Chief Editor. To support my claim, I present in the end a rejection letter from Daniel J. Kleitman in 1975 with a referee’s comments, contrary to what the reviewer of Mathematical Review said about Part I of my doctoral dissertation. Partly because of my frustration, I pursued eight years of actuarial career, for which I have no remorse. As a matter of fact, I had benefited a lot from it. In “MATHEMATICS OF HUNG-PING TSAO” , I have included many tidbits in Actuarial Mathematics that I previously published in Transactions and ARCH of the Society of Actuaries

    Dataset supporting journal article "Robust optical picometrology through data diversity"

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    This dataset supports the publication: Robust Optical Picometrology Through Data Diversity by Cheng-Hung Chi, Eric Plum, Nikolay I. Zheludev, and Kevin F. MacDonald in JOURNAL: Optical Materials Express The file contains data for optically measured vs. actual displacement values and corresponding std. dev. values (exemplified in Figs. 3a-c and 4a-c, from which Figs. 3d-e, 4d-e, 5, and S2 are derived). [Figures 1, 2, and S1 are schematic diagrams] The project was sponsored by: Next Generation Metrology Driven by Nanophotonics EPSRC EP/T02643X/1 Dataset available under a CC BY 4.0 licence </span

    sj-doc-1-taj-10.1177_20406223231222828 – Supplemental material for Tafamidis improves myocardial longitudinal strain in A97S transthyretin cardiac amyloidosis

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    Supplemental material, sj-doc-1-taj-10.1177_20406223231222828 for Tafamidis improves myocardial longitudinal strain in A97S transthyretin cardiac amyloidosis by Yuan-Kun (Aden) Wu, An-Li Yu, Mei-Fang Cheng, Lung-Chun Lin, Ming-Jen Lee, Chia-Hung Chou, Chia-Tung Shun, Hsueh-Wen Hsueh, Jimmy Jyh-Ming Juang, Ping-Huei Tseng, Siao-Ping Lin, Mao-Yuan Su, Chi-Chao Chao, Sung-Tsang Hsieh, Cheng-Hsuan Tsai and Yen-Hung Lin in Therapeutic Advances in Chronic Disease</p
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