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Lawrence K Wang deposited EVOLUTIONARY MATHEMATICS AND SCIENCE FOR GENERAL BINOMIAL COEFFICIENTS AND FIBONACCI NUMBERS on Humanities Commons 4 years, 8 months ago
Tsao, Hung-ping 曹 恆 平 (2021). Evolutionary mathematics and science for General Binomial Coefficients and Fibonacci Numbers. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王 抗 曝 and Tsao, Hung-ping 曹 恆 平 (editors). Volume 3, Number 4, April 2021; 34 pages. Lenox Institute Press,…[Read more]
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Lawrence K Wang deposited EVOLUTIONARY ARTS AND LITERATURE FOR BILINGUAL POEMS: 中英名詩對譯 in the group
Science, Technology, Engineering, Arts and Mathematics (STEAM) on Humanities Commons 4 years, 9 months agoTsao, Hung-ping 曹 恆 平 (2021). Evolutionary Mathematics and Art for Bilingual Poems. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王 抗 曝 and Tsao, Hung-ping 曹 恆 平 (editors). Volume 3, Number 3, March 2021; 43 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA.…[Read more]
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Lawrence K Wang deposited EVOLUTIONARY ARTS AND LITERATURE FOR BILINGUAL POEMS: 中英名詩對譯 in the group
Poetics and Poetry on Humanities Commons 4 years, 9 months agoTsao, Hung-ping 曹 恆 平 (2021). Evolutionary Mathematics and Art for Bilingual Poems. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王 抗 曝 and Tsao, Hung-ping 曹 恆 平 (editors). Volume 3, Number 3, March 2021; 43 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA.…[Read more]
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Lawrence K Wang deposited EVOLUTIONARY ARTS AND LITERATURE FOR BILINGUAL POEMS: 中英名詩對譯 in the group
Global & Transnational Studies on Humanities Commons 4 years, 9 months agoTsao, Hung-ping 曹 恆 平 (2021). Evolutionary Mathematics and Art for Bilingual Poems. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王 抗 曝 and Tsao, Hung-ping 曹 恆 平 (editors). Volume 3, Number 3, March 2021; 43 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA.…[Read more]
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Lawrence K Wang deposited EVOLUTIONARY ARTS AND LITERATURE FOR BILINGUAL POEMS: 中英名詩對譯 on Humanities Commons 4 years, 9 months ago
Tsao, Hung-ping 曹 恆 平 (2021). Evolutionary Mathematics and Art for Bilingual Poems. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王 抗 曝 and Tsao, Hung-ping 曹 恆 平 (editors). Volume 3, Number 3, March 2021; 43 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA.…[Read more]
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Lawrence K Wang created the group
Science, Technology, Engineering, Arts and Mathematics (STEAM) on Humanities Commons 4 years, 9 months ago -
Lawrence K Wang deposited EVOLUTIONARY MATHEMATICS AND SCIENCE FOR GENERAL FAMOUS NUMBERS: STIRLING-EULER-LAH-BELL in the group
Digital Books on Humanities Commons 4 years, 9 months agoWe first introduce Pascal, Stirling, Eulerian, Lah and Bell numbers via sorting, then generalize Stirling numbers of both kinds [■(n@k)], {■(n@k)}, Eulerian numbers of two orders 〈■(n@k)〉, 〈〈■(n@k)〉 〉, Lah numbers L(n,k)=∑_(j=1)^n▒[■(n@j)] {■(j@k)} and ∑_(k=0)^(n-1)▒〖2^k 〈■(n@k)〉 〗=∑_(k=1)^n▒(∑_(j-1)^(k+1)▒[■(k+1@j)] )…[Read more]
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Lawrence K Wang deposited EVOLUTIONARY MATHEMATICS AND SCIENCE FOR GENERAL FAMOUS NUMBERS: STIRLING-EULER-LAH-BELL on Humanities Commons 4 years, 9 months ago
We first introduce Pascal, Stirling, Eulerian, Lah and Bell numbers via sorting, then generalize Stirling numbers of both kinds [■(n@k)], {■(n@k)}, Eulerian numbers of two orders 〈■(n@k)〉, 〈〈■(n@k)〉 〉, Lah numbers L(n,k)=∑_(j=1)^n▒[■(n@j)] {■(j@k)} and ∑_(k=0)^(n-1)▒〖2^k 〈■(n@k)〉 〗=∑_(k=1)^n▒(∑_(j-1)^(k+1)▒[■(k+1@j)] )…[Read more]
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Lawrence K Wang deposited EVOLUTIONARY MATHEMATICS AND SCIENCE FOR GENERAL POWERED SUMS OF NUMBERS in the group
Digital Books on Humanities Commons 4 years, 9 months agoTsao, Hung-ping 曹恆平 (2021 ). Evolutionary mathematics and science for General Powered Sums of Numbers. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王抗曝 and Tsao, Hung-ping 曹恆平 (editors). Volume 3, Number 2, February 2021; 70 pages. Lenox Institute Press, Newtonville, NY,…[Read more]
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Lawrence K Wang deposited EVOLUTIONARY MATHEMATICS AND SCIENCE FOR GENERAL POWERED SUMS OF NUMBERS on Humanities Commons 4 years, 10 months ago
Tsao, Hung-ping 曹恆平 (2021 ). Evolutionary mathematics and science for General Powered Sums of Numbers. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王抗曝 and Tsao, Hung-ping 曹恆平 (editors). Volume 3, Number 2, February 2021; 70 pages. Lenox Institute Press, Newtonville, NY,…[Read more]
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Lawrence K Wang deposited EAST WEST SWING SPRING 東蕩西迴：數球詩 in the group
Digital Books on Humanities Commons 5 years agoTsao, Hung-ping 曹恆平 (2020). East West Swing Spring. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王抗曝 and Tsao, Hung-ping 曹恆平 (editors). Volume 2, Number 12, December 2020; 151 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA. No. STEAM-VOL2-NUM12-…[Read more]
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Tsao, Hung-ping 曹恆平 (2020). East West Swing Spring. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王抗曝 and Tsao, Hung-ping 曹恆平 (editors). Volume 2, Number 12, December 2020; 151 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA. No. STEAM-VOL2-NUM12-…[Read more]
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Lawrence K Wang deposited MATHEMATICS OF HUNG-PING TSAO in the group
Digital Books on Humanities Commons 5 years, 2 months agoTsao, 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…[Read more]
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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…[Read more]
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Lawrence K Wang deposited EAST WEST HEAR SAY 東 讀 西 寫：芋 薯 彈 浪 in the group
Digital Books on Humanities Commons 5 years, 4 months agoTsao, Hung-ping 曹恆平 and Mou, Yong Ning 牟永寧 (2020). EAST WEST HEAR SAY. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王抗曝 and Tsao, Hung-ping 曹恆平 (editors). Volume 2, Number 10, October 2020; 60 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA. No. STEAM-VOL2-NUM…[Read more]
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Lawrence K Wang deposited EAST WEST HEAR SAY 東 讀 西 寫：芋 薯 彈 浪 on Humanities Commons 5 years, 4 months ago
Tsao, Hung-ping 曹恆平 and Mou, Yong Ning 牟永寧 (2020). EAST WEST HEAR SAY. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. 王抗曝 and Tsao, Hung-ping 曹恆平 (editors). Volume 2, Number 10, October 2020; 60 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA. No. STEAM-VOL2-NUM…[Read more]
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Lawrence K Wang deposited THE PRINCIPLE OF FEBRILE AND INFLAMMATORY DISEASES 温热病原理 in the group
Digital Books on Humanities Commons 5 years, 5 months agoWang, Nai-Yi (2020). The principle of febrile and infllammatory diseases. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. and Tsao, Hung-ping (editors). Volume 2, Number 8, August 2020; 206 pages. Lenox Institute Press, PO Box 405, Newtonville, NY, 12128-0405, USA. No.…[Read more]
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Lawrence K Wang deposited THE PRINCIPLE OF FEBRILE AND INFLAMMATORY DISEASES 温热病原理 on Humanities Commons 5 years, 6 months ago
Wang, Nai-Yi (2020). The principle of febrile and infllammatory diseases. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. and Tsao, Hung-ping (editors). Volume 2, Number 8, August 2020; 206 pages. Lenox Institute Press, PO Box 405, Newtonville, NY, 12128-0405, USA. No.…[Read more]
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Lawrence K Wang deposited THE COLOR PURPLE OF TAIWAN POLITICS in the group
Digital Books on Humanities Commons 5 years, 6 months agoTsao, Hung-ping (2020). The Color Purple of Taiwan Politics. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. and Tsao, Hung-ping (editors). Volume 2, Number 10, October 2020; 285 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA. No. STEAM-VOL2-NUM10-OCT2020; ISBN…[Read more]
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