03061nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050000900172072001600181072002300197072001500220245015200235250001800387264007500405300006600480336002600546337002600572338003600598347002400634490006100658505021000719520099400929650003901923650003601962650003901998650003602037700008902073700008902162710003402251773002602285776003602311776003602347776003602383830006802419856004602487912001402533912001502547999001702562978-3-031-66040-5DE-He21320251030113108.0cr nn 008mamaa240927s2024    sz |    s    |||| 0|eng d  a97830316604059978-3-031-66040-57 a10.1007/978-3-031-66040-52doi 4aQ342 7aUYQ2bicssc 7aCOM0040002bisacsh 7aUYQ2thema10aAlgebraic Quasi—Fractal Logic of Smart Systemsh[electronic resource] :bTheory and Practice /cedited by Natalia Serdyukova, Vladimir Serdyukov.  a1st ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024.  aXVII, 269 p. 62 illus., 36 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aIntelligent Systems Reference Library,x1868-4408 ;v2510 aQuasi fractal Propositional Algebra Digitalization of Propositional Algebra and NPC -- Quasi fractal Temporal Topological Logic with Time Parameter over Topological Space -- Application to Brownian Motion.  aThis book is a continuation of the Algebraic Formalization of Smart Systems. Theory and Practice, 2018, and Algebraic Identification of Smart Systems. Theory and Practice, 2021. Algebraic logic refers to the connection between Boolean algebra and classical propositional calculus. This connection was discovered by George Boole and then developed by other mathematicians, such as C. S. Peirce and Ernst Schroeder. This trend culminated in the Lindenbaum-Tarski algebras. Here we try to connect algebraic logic and quasi-fractal technique, based on algebraic formalization of smart systems to get facts about smart systems functioning and connections of their qualitative and quantitative indicators. Basic techniques we used: algebraic quasi-fractal systems, Erdős–Rényi algorithm, a notion of –giant component of an algebraic system, fixed point theorem, purities, i.e., embeddings preserving -property of an algebraic system. The book is aimed for all interested in these issues. 0aComputational intelligence.964052 0aArtificial intelligence.95844114aComputational Intelligence.96405224aArtificial Intelligence.9584411 aSerdyukova, Natalia.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9850751 aSerdyukov, Vladimir.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9850762 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303166039908iPrinted edition:z978303166041208iPrinted edition:z9783031660429 0aIntelligent Systems Reference Library,x1868-4408 ;v25196703440uhttps://doi.org/10.1007/978-3-031-66040-5  aZDB-2-INR  aZDB-2-SXIT  c63745d63745