We analyze a minimum number of vertices of a complete graph that can be decomposed into one factor of diameter 2 and k factors of diameter at most 3. We find exact values for k ≤ 4 and the asymptotic value of the ratio of this number and k when k tends to infinity. We also find the asymptotic value of the ratio of the number of vertices of the smallest complete graph that can be decomposed into p factors of diameter 2 and k factors of diameter 3 and number k when p is fixed.

We present results on numerical regulator design for sampled-data nonlinear plants via their approximate discrete-time plant models. The regulator design is based on an approximate discrete-time plant model and is carried out either via an infinite horizon optimization problem or via a finite horizon with terminal cost optimization problem. In both cases, we discuss situations when the sampling period T and the integration period h used in obtaining the approximate discrete-time plant model are the same or they are independent of each other. We show that, using this approach, practical and/or semiglobal stability of the exact discrete-time model is achieved under appropriate conditions.

The integral programme communicated by the so-called Jason Sarcophagus from Viminacium includes the depictions of Jason’s and Perseus’ heroic deeds on its front, and of a satyr and maenad in ecstasy on the sides. The significance of this funerary programme is examined on two levels: that of the symbolism of individual scenes, and that of their interrelationship and the whole they constitute as different expressions of triumph over death. The sarcophagus is viewed with respect to a related repertory of themes in the arts as well as to the time and place of its creation.

Organizirani uzgoj Holstein pasmine konja u Križevcima pocinje 1980 godine uvozom originalnih Holstein kobila i pastuha iz Njemacke. Od tog vremena pa do danas u stajama ove ergele uzgojeno je nekoliko generacija vrsnih Holstein konja. Holstein konj danas predstavlja vodecu uzgojnu sportsku pasminu u Hrvatskoj. U razdoblju od 1991 godine do 2001 godine u rasplodu je bilo 16 kobila i 6 pastuha. Najveci broj potomaka potjece od pastuha Calypsa i Amadeusa. Tih 16 kobila oždrijebilo je ukupno 26 muskih i 18 ženskih potomaka. Cetiri kobile pobacile su po jedno ždrijebe, a jedna kobila trojke. Prosjecno trajanje graviditeta je 333 dana. Najkraca gravidnost trajala je 304, a najdulja 370 dana.

Auf dem Gestut der Wirtschaftshochschule in Križevci zuchtet man seit 22 Jahren Holsteinerstuten. In den ersten 10 Jahren befanden sich 22 und wahrend der nachsten 12 Jahre 18 Stuten in der Zucht. Wahrend dieser Zeit gab es insgesamt 131 Lebendgeburten, genauer gesagt 59 Stutfohlen (45, 03%) und 72 Hengstfohlen (54, 96%). Bei insgesamt 10 Stuten kam es zu einem Trachtigkeitsabbruch (jeweils ein Abort bei jeder Stute). Jeder Abort fand in der zweiten Graviditatshalfte statt. In 6 Fallen wurde nur eine Frucht abgestosen (60%), dreimal handelte es sich um einen Zwillingsabort (30%) und einmal um einen Drillingsabort (10%). Alle Zwillinge, wie auch eins von den verworfenen Drillingen waren Stutfohlen (77, 78%). Auf diesem Gestut werden alle Stuten am 16. und 40. Tag post conceptionem vaginoskopisch, rektal und mithilfe eines Ultraschallgerates auf eine Trachtigkeit hin untersucht. Nach der Feststellung einer Graviditat beobachtete man die Stuten bis zum Geburtstermin oder Abort. Bei keinem der genannten Aborte war die Ursache infektioser Natur.