Himpunan terurut parsial (Indonesian Wikipedia)
Analysis of information sources in references of the Wikipedia article "Himpunan terurut parsial" in Indonesian language version.
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ams.org
- Davey, B. A.; Priestley, H. A. (2002). "Maps between ordered sets". Introduction to Lattices and Order (edisi ke-2nd). New York: Cambridge University Press. hlm. 23–24. ISBN 0-521-78451-4. MR 1902334..
archive.org
- Merrifield, Richard E.; Simmons, Howard E. (1989). Topological Methods in Chemistry
. New York: John Wiley & Sons. hlm. 28. ISBN 0-471-83817-9. Diakses tanggal 27 July 2012. A partially ordered set is conveniently represented by a Hasse diagram...
- P. R. Halmos (1974). Naive Set Theory. Springer. hlm. 82. ISBN 978-1-4757-1645-0.
books.google.com
- Simovici, Dan A.; Djeraba, Chabane (2008). "Partially Ordered Sets". Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics. Springer. ISBN 9781848002012.
- Davey, B. A.; Priestley, H. A. (2002). Introduction to Lattices and Order (edisi ke-Second). New York: Cambridge University Press. hlm. 17–18. ISBN 0-521-78451-4 – via Google Books.
- Davey, B. A.; Priestley, H. A. (2002). "Maps between ordered sets". Introduction to Lattices and Order (edisi ke-2nd). New York: Cambridge University Press. hlm. 23–24. ISBN 0-521-78451-4. MR 1902334..
dml.cz
- Flaška, V.; Ježek, J.; Kepka, T.; Kortelainen, J. (2007). "Transitive Closures of Binary Relations I". Acta Universitatis Carolinae. Mathematica et Physica. Prague: School of Mathematics - Physics Charles University. 48 (1): 55–69. Lemma 1.1 (iv). This source refers to asymmetric relations as "strictly antisymmetric".
doi.org
- Ward, L. E. Jr (1954). "Partially Ordered Topological Spaces". Proceedings of the American Mathematical Society. 5 (1): 144–161. doi:10.1090/S0002-9939-1954-0063016-5
. hdl:10338.dmlcz/101379.
google.com
- Wallis, W. D. (14 March 2013). A Beginner's Guide to Discrete Mathematics (dalam bahasa Inggris). Springer Science & Business Media. hlm. 100. ISBN 978-1-4757-3826-1.
handle.net
hdl.handle.net
- Ward, L. E. Jr (1954). "Partially Ordered Topological Spaces". Proceedings of the American Mathematical Society. 5 (1): 144–161. doi:10.1090/S0002-9939-1954-0063016-5 . hdl:10338.dmlcz/101379.
leanprover.github.io
- Avigad, Jeremy; Lewis, Robert Y.; van Doorn, Floris (29 March 2021). "13.2. More on Orderings". Logic and Proof (edisi ke-Release 3.18.4). Diakses tanggal 24 July 2021.
So we can think of every partial order as really being a pair, consisting of a weak partial order and an associated strict one.
libretexts.org
math.libretexts.org
- Kwong, Harris (25 April 2018). "7.4: Partial and Total Ordering". A Spiral Workbook for Discrete Mathematics (dalam bahasa Inggris). Diakses tanggal 23 July 2021.
lsu.edu
math.lsu.edu
- Chen, Peter; Ding, Guoli; Seiden, Steve. "On Poset Merging" (PDF): 2. Diakses tanggal 5 January 2022.
A comparison between two elements s, t in S returns one of three distinct values, namely s≤t, s>t or s|t.
stanford.edu
match.stanford.edu
- "Finite posets". Sage 9.2.beta2 Reference Manual: Combinatorics. Diakses tanggal 5 January 2022.
compare_elements(x, y): Compare x and y in the poset. If x<y, return -1. If x=y, return 0. If x>y, return 1. If x and y are not comparable, return None.
umich.edu
eecs.umich.edu
- Rounds, William C. (7 March 2002). "Lectures slides" (PDF). EECS 203: DISCRETE MATHEMATICS. Diakses tanggal 23 July 2021.