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On supplementary formulas for Sheffer sequences
Aequationes mathematicae, 2015The paper contains four theorems. In the first one, the author presents necessary and sufficient conditions for the Sheffer sequence to satisfy the supplementary formula. In the last three ones, characterizations of Bernoulli, Euler and poly-Bernoulli polynomials are given.
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Developing an intelligent tool for computer-assisted formulaic language learning from YouTube videos
ReCALL, 2022Phoebe M S Lin, Phoebe Lin
exaly
Extraction and evaluation of formulaic expressions used in scholarly papers
Expert Systems With Applications, 2022Kenichi Iwatsuki +2 more
exaly
Formulaic sequences in English TV series
2010Bu çalışma İngilizce dizi filmlerin, söz dizinleri (formulaic sequence) açısından zengin olup olmadığını ve bu filmlerde ne tür söz dizinlerinin daha sık kullanıldığını inceler.Bu tezde veri olarak, fan sitesinde sitesinde 5.706.789 üyesi bulunan ve ülkemizde de izlenebilen "How I Met Your Mother" adlı dizinin konuşma metinleri incelenmiştir. Dizinin 4
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Higher Order Geometric Sequences: Structure and Formulas
This paper introduces a new mathematical concept, called the Higher Order Geometric Sequence (HOGS), which generalizes the classical geometric sequence to higher orders. A sequence $\{a_n\}$ is defined as a $k$-th order geometric sequence if its ratio becomes constant after $k$ successive ratio operations. In other words, the number of successive ratioopenaire +1 more source