. "Mor\u00E1vka, Jan" . "Transaction of the V\u0160B - Technical University of Ostrava" . . "RIV/61989100:27360/07:00015912" . "2"^^ . "[15F5B2ED65CF]" . . . . . . "The paper describes the physical and cybernetic approach to the task of looking for an appropriate mathematical approximation-regression model of the measured standardised concentration of the tracer at a scale physical model of the casting ladle when blowing the steel by inert gas. The physical approach allows assembling an adequate mathematical model of the processes in the shape of a so-called white box, where the structure of the model are known. The cybernetic approach only draws on the measured inputs and outputs (so-called black box) as well as any additional conditions (so-called grey box) and the structure of the model is chosen according to them. These mathematical models are referred to as empirical models. The paper presents and compares four mathematical models ? physically adequate one and three empirical ones."@en . "Mathematical models; empirical models; casting ladle; approximation-regression model"@en . "Michalek, Karel" . "1210-0471" . "P(GA106/07/0407)" . . . "Matematick\u00E9 modely p\u0159echodov\u00FDch d\u011Bj\u016F prodm\u00FDch\u00E1v\u00E1n\u00ED oceli v lic\u00ED p\u00E1nvi"@cs . "P\u0159\u00EDsp\u011Bvek popisuje fyzik\u00E1ln\u00ED a kybernetick\u00FD p\u0159\u00EDstup k hled\u00E1n\u00ED vhodn\u00E9ho matematick\u00E9ho aproxima\u010Dn\u011B-regresn\u00EDho modelu normovan\u00E9 nam\u011B\u0159en\u00E9 koncentrace stopovac\u00ED l\u00E1tky ve zmen\u0161en\u00E9m fyzik\u00E1ln\u00EDm modelu lic\u00ED p\u00E1nve p\u0159i prodm\u00FDch\u00E1v\u00E1n\u00ED oceli inertn\u00EDm plynem. Fyzik\u00E1ln\u00ED p\u0159\u00EDstup umo\u017E\u0148uje sestavit adekv\u00E1tn\u00ED matematick\u00FD model d\u011Bje ve tvaru tzv. b\u00EDl\u00E9 sk\u0159\u00EDnky, kde je zn\u00E1m\u00E1 struktura modelu. Kybernetick\u00FD p\u0159\u00EDstup vych\u00E1z\u00ED pouze z nam\u011B\u0159en\u00FDch vstup\u016F a v\u00FDstup\u016F (tzv. \u010Dern\u00E1 sk\u0159\u00EDnka), p\u0159\u00EDpadn\u011B i z dopl\u0148kov\u00FDch podm\u00EDnek (tzv. \u0161ed\u00E1 sk\u0159\u00EDnka) a strukturu modelu podle nich vol\u00ED. T\u011Bmto matematick\u00FDm model\u016Fm se \u0159\u00EDk\u00E1 empirick\u00E9 modely. V p\u0159\u00EDsp\u011Bvku jsou prezentov\u00E1ny a porovn\u00E1ny \u010Dty\u0159i matematick\u00E9 modely ? jeden fyzik\u00E1ln\u011B adekv\u00E1tn\u00ED a t\u0159i empirick\u00E9."@cs . . . "LIII" . "27360" . . "The paper describes the physical and cybernetic approach to the task of looking for an appropriate mathematical approximation-regression model of the measured standardised concentration of the tracer at a scale physical model of the casting ladle when blowing the steel by inert gas. The physical approach allows assembling an adequate mathematical model of the processes in the shape of a so-called white box, where the structure of the model are known. The cybernetic approach only draws on the measured inputs and outputs (so-called black box) as well as any additional conditions (so-called grey box) and the structure of the model is chosen according to them. These mathematical models are referred to as empirical models. The paper presents and compares four mathematical models ? physically adequate one and three empirical ones." . "8"^^ . "Mathematical models of phenomena at gas blowing into ladle" . "Mathematical models of phenomena at gas blowing into ladle"@en . "Matematick\u00E9 modely p\u0159echodov\u00FDch d\u011Bj\u016F prodm\u00FDch\u00E1v\u00E1n\u00ED oceli v lic\u00ED p\u00E1nvi"@cs . . . "432346" . "2" . "CZ - \u010Cesk\u00E1 republika" . "Mathematical models of phenomena at gas blowing into ladle" . "RIV/61989100:27360/07:00015912!RIV09-GA0-27360___" . "1"^^ . . "Mathematical models of phenomena at gas blowing into ladle"@en . .