Λεπτομέρειες βιβλιογραφικής εγγραφής
| 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 |