The Kolmogorov-Sinai entropy is a far reaching dynamical generalization of Shannon entropy of information systems. This entropy works perfectly for probability measure preserving (p.m.p.) transformations. However, it is not useful when there is no finite invariant measure. There are certain successful extensions of the notion of entropy to infinite measure spaces, or transformations with ...

in this paper, second law analysis for calculations of the entropy generation due to the flow andheat transfer of water-al2o3 and ethylene glycol-al2o3 nanofluids inside annuli is presented. thephysical properties of the nanofluids are calculated using empirical correlations. constant heatfluxes at inner surface of the annuli are considered and fully developed condition for fluid flowand heat t...

a review of damages caused by landslide shows the need for studying effective parameters in landslide occurrence and prediction. this study aims to improve landslide prediction results for tutkabon region in gilan province. to this end, shannon entropy theory was employed for modeling and considering data uncertainty. slope, height, geomorphologic conditions, earth’s curve, closeness to river, ...

let $g$ be a finite simple graph whose vertices and edges are weighted by two functions. in this paper we shall define and calculate entropy of a dynamical system on weights of the graph $g$, by using the weights of vertices and edges of $g$. we examine the conditions under which entropy of the dynamical system is zero, possitive or $+infty$. at the end it is shown that, for $rin [0,+infty]$, t...

in this study, surface water samples were collected monthly from five stations inclduing nayband bay, assaloye, dayer, kabgan and bushehr from december 2012 to june 2013. sampling stations were chosen according to data being collected during algal bloom caused by cochlodinium polykrikoides in 2008. a total of 45 genera of phytoplankton belongs to four classes were totally identified accounting ...

‎in this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by zou [operator inequalities associated with tsallis relative operator entropy‎, ‎{em math‎. ‎inequal‎. ‎appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and tsallis relative o...

‎In this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy‎, ‎{em Math‎. ‎Inequal‎. ‎Appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎Meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...

Keberadaan gulma dipengaruhi oleh jenis pupuk yang diberikan pada tanaman budidaya. Setiap memiliki kandungan berbeda sehingga berpengaruh terhadap spesies tumbuh. Agar dapat mengetahui tumbuh perlu dilakukan identifikasi lahan Penelitian bulan Juni – Agustus 2021 di Kebun pertanian Kelompok Tani Sinar Harapan, Kota Tarakan Provinsi Kalimantan Utara. Metode penelitian yaitu metode sampling acak...