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| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Alama, Jesse | - |
| dc.date.accessioned | 2026-07-30T11:58:19Z | - |
| dc.date.available | 2026-07-30T11:58:19Z | - |
| dc.date.issued | 2008 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 16, Issue 1, Pages 1-5 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/20690 | - |
| dc.description.abstract | For each set X, the power set of X forms a vector space over the field Z2 (the two-element field {0,1} with addition and multiplication done modulo 2): vector addition is disjoint union, and scalar multiplication is definedby the two equations (1·x := x, 0·x := ∅ for subsets x of X). See [10], Exercise2.K, for more information. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | - |
| dc.title | The Vector Space of Subsets of a Set Based on Symmetric Difference | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2009 Jesse Alama, published by University of Białystok | pl |
| dc.rights.holder | This work is licensed under the Creative Commons License. | pl |
| dc.identifier.doi | 10.2478/v10037-008-0001-7 | - |
| dc.description.Affiliation | Department of Philosophy, Stanford University, USA | pl |
| dc.description.references | Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377–382, 1990. | pl |
| dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990. | pl |
| dc.description.references | Józef Białas. Group and field definitions. Formalized Mathematics, 1(3):433–439, 1990. | pl |
| dc.description.references | Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175–180, 1990. | pl |
| dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. | pl |
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| dc.description.references | Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165–167, 1990. | pl |
| dc.description.references | John L. Kelley. General Topology, volume 27 of Graduate Texts in Mathematics. Springer Verlag, 1955. | pl |
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| dc.description.references | Christoph Schwarzweller. The ring of integers, euclidean rings and modulo integers. For malized Mathematics, 8(1):29–34, 1999. | pl |
| dc.description.references | Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115–122, 1990. | pl |
| dc.description.references | Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501–505, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Basis of vector space. Formalized Mathematics, 1(5):883–885, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821–827, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Linear combinations in vector space. Formalized Mathematics, 1(5):877–882, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291–296, 1990. | pl |
| dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990. | pl |
| dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73–83, 1990. | pl |
| dc.description.references | Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 16 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 1 | pl |
| dc.description.lastpage | 5 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2008, Volume 16, Issue 1 | |
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|---|---|---|---|---|
| The_Vector_Space_of_Subsets_of_a_Set_Based_on_Symmetric_Difference.pdf | 257,54 kB | Adobe PDF | Otwórz |
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