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http://hdl.handle.net/11320/3566Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Miyajima, Keiichi | - |
| dc.contributor.author | Kato, Takahiro | - |
| dc.date.accessioned | 2015-12-02T18:02:29Z | - |
| dc.date.available | 2015-12-02T18:02:29Z | - |
| dc.date.issued | 2010 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 18, Issue 2, 2010, Pages 107-111 | - |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.issn | 1898-9934 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/3566 | - |
| dc.description.abstract | This article extends the [10]. We define the sum and the product of the sequence of complex numbers, and formalize these theorems. Our method refers to the [11]. | - |
| dc.language.iso | en | - |
| dc.publisher | De Gruyter Open | - |
| dc.title | The Sum and Product of Finite Sequences of Complex Numbers | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.2478/v10037-010-0014-x | - |
| dc.description.Affiliation | Miyajima Keiichi - Faculty of Engineering, Ibaraki University, Hitachi, Japan | - |
| dc.description.Affiliation | Kato Takahiro - Faculty of Engineering, Graduate School of Ibaraki University, Hitachi, Japan | - |
| dc.description.references | Kanchun and Yatsuka Nakamura. The inner product of finite sequences and of points of n-dimensional topological space. Formalized Mathematics, 11(2):179-183, 2003. | - |
| dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | - |
| dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | - |
| dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. | - |
| dc.description.references | Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990. | - |
| dc.description.references | Czesław Byliński. Binary operations applied to finite sequences. Formalized Mathematics, 1(4):643-649, 1990. | - |
| dc.description.references | Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990. | - |
| dc.description.references | Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990. | - |
| dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. | - |
| dc.description.references | Czesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990. | - |
| dc.description.references | Keith E. Hirst. Numbers, Sequences and Series. Butterworth-Heinemann, 1984. | - |
| dc.description.references | Jarosław Kotowicz. Convergent real sequences. Upper and lower bound of sets of real numbers. Formalized Mathematics, 1(3):477-481, 1990. | - |
| dc.description.references | Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990. | - |
| dc.description.references | Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990. | - |
| dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. | - |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2010, Volume 18, Issue 2 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| v10037-010-0014-x.pdf | 211,37 kB | Adobe PDF | Otwórz |
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