Sequence and Series Formulas A sequence comprising a finite number of terms is called a finite sequence. For example, 3, 9, 27, 81,…, 59049 is the sequence of the first 10 powers of 3. It is a finite sequence since it contains 10 terms, i.e. a fixed number. Some sequences conta...
Some come with a complete analysis, giving formulas, asymptotic estimates, computer programs, references, etc. Some, on the other hand, are such that one says "That is a really lovely problem and I wish I had time to work on it". This paper will describe a dozen or so sequences of ...
A good evolutionary model is essential to achieve a clustering that reflects the biological reality, and an accurate estimate of protein sequence similarity is crucial to the building of such a model. Most existing algorithms estimate this similarity using techniques that are not necessarily ...
To provide information about the meaning of a multi-token expression in a first language, where the information is understandable in a second language, subexpressions are obtained, such as tokens, chunks, and sentences. The multi-token expression could, for example, be a sentence or an input ...
In this paper, by introducing two sequences of new numbers and their derivatives, which are closely related to the Stirling numbers of the first kind, and choosing to employ six known generalized Kummer’s summation formulas for 2 F 1 ( − 1 ) 2𝐹1(−1) and 2 F 1 ( 1 / 2 ...