Matches in SemOpenAlex for { <https://semopenalex.org/work/W3005643035> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W3005643035 endingPage "388" @default.
- W3005643035 startingPage "381" @default.
- W3005643035 abstract "The object of the paper are the so-called “unimaginable numbers”. In particular, we deal with some arithmetic and computational aspects of the Knuth’s powers notation and move some first steps into the investigation of their density. Many authors adopt the convention that unimaginable numbers start immediately after 1 googol which is equal to $$10^{100}$$, and G.R. Blakley and I. Borosh have calculated that there are exactly 58 integers between 1 and 1 googol having a nontrivial “kratic representation”, i.e., are expressible nontrivially as Knuth’s powers. In this paper we extend their computations obtaining, for example, that there are exactly 2 893 numbers smaller than $$10^{10,000}$$ with a nontrivial kratic representation, and we, moreover, investigate the behavior of some functions, called krata, obtained by fixing at most two arguments in the Knuth’s power $$a!uparrow ^b!c$$." @default.
- W3005643035 created "2020-02-24" @default.
- W3005643035 creator A5002871615 @default.
- W3005643035 creator A5017190945 @default.
- W3005643035 creator A5022443092 @default.
- W3005643035 creator A5043951023 @default.
- W3005643035 date "2020-01-01" @default.
- W3005643035 modified "2023-09-26" @default.
- W3005643035 title "On the Arithmetic of Knuth’s Powers and Some Computational Results About Their Density" @default.
- W3005643035 cites W1544757976 @default.
- W3005643035 cites W1643902588 @default.
- W3005643035 cites W1965850345 @default.
- W3005643035 cites W1968600138 @default.
- W3005643035 cites W1980456056 @default.
- W3005643035 cites W2036017830 @default.
- W3005643035 cites W2045646742 @default.
- W3005643035 cites W2046920201 @default.
- W3005643035 cites W2060605171 @default.
- W3005643035 cites W2075188242 @default.
- W3005643035 cites W2082738784 @default.
- W3005643035 cites W2318792362 @default.
- W3005643035 cites W3006214856 @default.
- W3005643035 cites W4244044094 @default.
- W3005643035 cites W4246944024 @default.
- W3005643035 cites W4252109882 @default.
- W3005643035 doi "https://doi.org/10.1007/978-3-030-39081-5_33" @default.
- W3005643035 hasPublicationYear "2020" @default.
- W3005643035 type Work @default.
- W3005643035 sameAs 3005643035 @default.
- W3005643035 citedByCount "5" @default.
- W3005643035 countsByYear W30056430352020 @default.
- W3005643035 countsByYear W30056430352022 @default.
- W3005643035 crossrefType "book-chapter" @default.
- W3005643035 hasAuthorship W3005643035A5002871615 @default.
- W3005643035 hasAuthorship W3005643035A5017190945 @default.
- W3005643035 hasAuthorship W3005643035A5022443092 @default.
- W3005643035 hasAuthorship W3005643035A5043951023 @default.
- W3005643035 hasConcept C112343008 @default.
- W3005643035 hasConcept C11413529 @default.
- W3005643035 hasConcept C118615104 @default.
- W3005643035 hasConcept C154945302 @default.
- W3005643035 hasConcept C17744445 @default.
- W3005643035 hasConcept C199539241 @default.
- W3005643035 hasConcept C2776359362 @default.
- W3005643035 hasConcept C2781238097 @default.
- W3005643035 hasConcept C33923547 @default.
- W3005643035 hasConcept C41008148 @default.
- W3005643035 hasConcept C45357846 @default.
- W3005643035 hasConcept C45374587 @default.
- W3005643035 hasConcept C94375191 @default.
- W3005643035 hasConcept C94625758 @default.
- W3005643035 hasConceptScore W3005643035C112343008 @default.
- W3005643035 hasConceptScore W3005643035C11413529 @default.
- W3005643035 hasConceptScore W3005643035C118615104 @default.
- W3005643035 hasConceptScore W3005643035C154945302 @default.
- W3005643035 hasConceptScore W3005643035C17744445 @default.
- W3005643035 hasConceptScore W3005643035C199539241 @default.
- W3005643035 hasConceptScore W3005643035C2776359362 @default.
- W3005643035 hasConceptScore W3005643035C2781238097 @default.
- W3005643035 hasConceptScore W3005643035C33923547 @default.
- W3005643035 hasConceptScore W3005643035C41008148 @default.
- W3005643035 hasConceptScore W3005643035C45357846 @default.
- W3005643035 hasConceptScore W3005643035C45374587 @default.
- W3005643035 hasConceptScore W3005643035C94375191 @default.
- W3005643035 hasConceptScore W3005643035C94625758 @default.
- W3005643035 hasLocation W30056430351 @default.
- W3005643035 hasOpenAccess W3005643035 @default.
- W3005643035 hasPrimaryLocation W30056430351 @default.
- W3005643035 hasRelatedWork W1549289070 @default.
- W3005643035 hasRelatedWork W1967956125 @default.
- W3005643035 hasRelatedWork W2004399461 @default.
- W3005643035 hasRelatedWork W2005076431 @default.
- W3005643035 hasRelatedWork W2028291525 @default.
- W3005643035 hasRelatedWork W2030036657 @default.
- W3005643035 hasRelatedWork W2135173043 @default.
- W3005643035 hasRelatedWork W2315726845 @default.
- W3005643035 hasRelatedWork W2315751191 @default.
- W3005643035 hasRelatedWork W2943469867 @default.
- W3005643035 isParatext "false" @default.
- W3005643035 isRetracted "false" @default.
- W3005643035 magId "3005643035" @default.
- W3005643035 workType "book-chapter" @default.