Matches in SemOpenAlex for { <https://semopenalex.org/work/W561313430> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W561313430 abstract "This chapter describes the concept of the power of a set in mapping. The mapping f : X → Y is said to be one-to-one if ,( x 1 ≠ x 2 ) ⇒ [ f ( x 1 ) ≠ f ( x 2 )] or , equivalently, if, [ f ( x 1 ) = f ( x 2 )] ⇒ ( x 1 = x 2 ). The chapter presents a theorem that states that the inverse of a one-to-one mapping is one-to-one for f-1 -1 = f . Geometrically, the transition to the inverse function can be interpreted (in the case where X and Y each denote the set of real numbers) as the reflection of the graph of the function with respect to the line y = x." @default.
- W561313430 created "2016-06-24" @default.
- W561313430 creator A5020544521 @default.
- W561313430 date "1972-01-01" @default.
- W561313430 modified "2023-09-28" @default.
- W561313430 title "THE CONCEPT OF THE POWER OF A SET. COUNTABLE SETS" @default.
- W561313430 doi "https://doi.org/10.1016/b978-0-08-016160-0.50010-5" @default.
- W561313430 hasPublicationYear "1972" @default.
- W561313430 type Work @default.
- W561313430 sameAs 561313430 @default.
- W561313430 citedByCount "0" @default.
- W561313430 crossrefType "book-chapter" @default.
- W561313430 hasAuthorship W561313430A5020544521 @default.
- W561313430 hasConcept C100643331 @default.
- W561313430 hasConcept C110729354 @default.
- W561313430 hasConcept C114614502 @default.
- W561313430 hasConcept C118615104 @default.
- W561313430 hasConcept C132525143 @default.
- W561313430 hasConcept C14036430 @default.
- W561313430 hasConcept C140528856 @default.
- W561313430 hasConcept C177264268 @default.
- W561313430 hasConcept C199360897 @default.
- W561313430 hasConcept C207467116 @default.
- W561313430 hasConcept C2524010 @default.
- W561313430 hasConcept C33923547 @default.
- W561313430 hasConcept C41008148 @default.
- W561313430 hasConcept C75432250 @default.
- W561313430 hasConcept C78458016 @default.
- W561313430 hasConcept C86803240 @default.
- W561313430 hasConceptScore W561313430C100643331 @default.
- W561313430 hasConceptScore W561313430C110729354 @default.
- W561313430 hasConceptScore W561313430C114614502 @default.
- W561313430 hasConceptScore W561313430C118615104 @default.
- W561313430 hasConceptScore W561313430C132525143 @default.
- W561313430 hasConceptScore W561313430C14036430 @default.
- W561313430 hasConceptScore W561313430C140528856 @default.
- W561313430 hasConceptScore W561313430C177264268 @default.
- W561313430 hasConceptScore W561313430C199360897 @default.
- W561313430 hasConceptScore W561313430C207467116 @default.
- W561313430 hasConceptScore W561313430C2524010 @default.
- W561313430 hasConceptScore W561313430C33923547 @default.
- W561313430 hasConceptScore W561313430C41008148 @default.
- W561313430 hasConceptScore W561313430C75432250 @default.
- W561313430 hasConceptScore W561313430C78458016 @default.
- W561313430 hasConceptScore W561313430C86803240 @default.
- W561313430 hasLocation W5613134301 @default.
- W561313430 hasOpenAccess W561313430 @default.
- W561313430 hasPrimaryLocation W5613134301 @default.
- W561313430 hasRelatedWork W109615496 @default.
- W561313430 hasRelatedWork W1545923390 @default.
- W561313430 hasRelatedWork W1691236157 @default.
- W561313430 hasRelatedWork W1965035860 @default.
- W561313430 hasRelatedWork W1969679861 @default.
- W561313430 hasRelatedWork W1971630970 @default.
- W561313430 hasRelatedWork W2053423558 @default.
- W561313430 hasRelatedWork W2058978218 @default.
- W561313430 hasRelatedWork W2074872474 @default.
- W561313430 hasRelatedWork W2079094676 @default.
- W561313430 hasRelatedWork W2105200324 @default.
- W561313430 hasRelatedWork W2132549106 @default.
- W561313430 hasRelatedWork W2171072423 @default.
- W561313430 hasRelatedWork W2291313340 @default.
- W561313430 hasRelatedWork W2320760531 @default.
- W561313430 hasRelatedWork W2321529370 @default.
- W561313430 hasRelatedWork W2327776579 @default.
- W561313430 hasRelatedWork W2389719946 @default.
- W561313430 hasRelatedWork W75617615 @default.
- W561313430 hasRelatedWork W2563828531 @default.
- W561313430 isParatext "false" @default.
- W561313430 isRetracted "false" @default.
- W561313430 magId "561313430" @default.
- W561313430 workType "book-chapter" @default.