ŠIMŠA, Jaromír. O porovnání mocnin a^b a b^a (On the comparison of powers a^b and b^a). Matematika, Fyzika, Informatika. Praha: Prometheus, 2017, vol. 26, No 5, p. 328-335. ISSN 1805-7705.
Other formats:   BibTeX LaTeX RIS
Basic information
Original name O porovnání mocnin a^b a b^a
Name (in English) On the comparison of powers a^b and b^a
Authors ŠIMŠA, Jaromír (203 Czech Republic, guarantor, belonging to the institution).
Edition Matematika, Fyzika, Informatika, Praha, Prometheus, 2017, 1805-7705.
Other information
Original language Czech
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/17:00098028
Organization unit Faculty of Science
Keywords (in Czech) mocniny čísel
Keywords in English powers of numbers
Tags NZ, powers of real numbers, rivok
Tags Reviewed
Changed by Changed by: Ing. Nicole Zrilić, učo 240776. Changed: 9/4/2018 22:28.
Abstract
V článku se zabýváme otázkou, které z čísel a^b nebo b^a je větší, jsou-li a, b daná kladná reálná čísla. Kromě toho řešíme rovnici x^y=y^x jak v oboru kladných reálných čísel, tak v užším oboru kladných racionálních čísel.
Abstract (in English)
We deal with the problem which of the numbers a^b or b^a is greater, for any given positive real numbers a and b. Besides, we solve the equation x^y=y^x in the set of all positive reals, as well as in the subset of all positive rationals.
PrintDisplayed: 9/7/2024 11:06