Dissertation/Thesis
Finding Euler number using box algebra and generalized skew-hooks (with computer program)
| Τίτλος: | Finding Euler number using box algebra and generalized skew-hooks (with computer program) |
|---|---|
| Συγγραφείς: | Ang, Stanley A., Calayan, Emmanuel G. |
| Πηγή: | Bachelor's Theses |
| Στοιχεία εκδότη: | Animo Repository |
| Έτος έκδοσης: | 1994 |
| Θεματικοί όροι: | Euler's numbers, Algebra--Computer programs, Programming (Mathematics), Skew fields, Linear operators--Generalized inverses, Fields, Algebraic |
| Περιγραφή: | This paper discusses the recursive formula En+1= 1/2EiEn-i, with initial conditions Eo = 1, and E1 = 1, for finding the Euler numbers. These numbers appear as the coefficients of the Maclaurin series expansion for sec x and tan x.The main objective of this paper is to present a nonrecursive formula for obtaining the Euler numbers. This makes use of skew-hooks and column products. Euler numbers are expressed as linear combinations of multinomial coefficients. Also a computer program was developed to generate some of these Euler numbers. |
| Τύπος εγγράφου: | Thesis |
| Γλώσσα: | English |
| Relation: | https://animorepository.dlsu.edu.ph/etd_bachelors/16156 |
| Διαθεσιμότητα: | https://animorepository.dlsu.edu.ph/etd_bachelors/16156 |
| Αριθμός Καταχώρησης: | edsbas.84E97173 |
| Βάση Δεδομένων: | BASE |
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