Cerami (C) Condition and Mountain Pass Theorem for Multivalued Mappings

Partially supported by Sapientia Foundation.We prove a general minimax result for multivalued mapping. As application, we give existence results of critical point of this mapping which satisfies the Cerami (C) condition

Identification of Young Stellar Object candidates in the GaiaGaia DR2 x AllWISE catalogue with machine learning methods

The second $Gaia$ Data Release (DR2) contains astrometric and photometric data for more than 1.6 billion objects with mean $Gaia$ $G$ magnitude $<$20.7, including many Young Stellar Objects (YSOs) in different evolutionary stages. In order to explore the YSO population of the Milky Way, we combined the $Gaia$ DR2 database with WISE and Planck measurements and made an all-sky probabilistic catalogue of YSOs using machine learning techniques, such as Support Vector Machines, Random Forests, or Neural Networks. Our input catalogue contains 103 million objects from the DR2xAllWISE cross-match table. We classified each object into four main classes: YSOs, extragalactic objects, main-sequence stars and evolved stars. At a 90% probability threshold we identified 1,129,295 YSO candidates. To demonstrate the quality and potential of our YSO catalogue, here we present two applications of it. (1) We explore the 3D structure of the Orion A star forming complex and show that the spatial distribution of the YSOs classified by our procedure is in agreement with recent results from the literature. (2) We use our catalogue to classify published $Gaia$ Science Alerts. As $Gaia$ measures the sources at multiple epochs, it can efficiently discover transient events, including sudden brightness changes of YSOs caused by dynamic processes of their circumstellar disk. However, in many cases the physical nature of the published alert sources are not known. A cross-check with our new catalogue shows that about 30% more of the published $Gaia$ alerts can most likely be attributed to YSO activity. The catalogue can be also useful to identify YSOs among future $Gaia$ alerts.Comment: 19 pages, 12 figures, 3 table

„Termő, ékes ág…” : Égi és földi anyakép az európai és a magyar költészetben

A Biblia „… a könyvek könyve Isten szíve dobog benne” (Gárdonyi). Teremtőjének jézusi képmását hordozza az ember: a nő és a férfi. A nőkép és anyakép a teremtés csúcspontja. A Teremtő az embert „ad imaginem et similitudiden” alkotta. „Termő ékes ág, te, / jó anya, / életemnek első asszonya” (Weöres Sándor: Anyámnak). A verses anyaképek ikonarcúsága: szakralitás – átragyogás. Égi és földi anyakép az európai lírában: Szophoklész, Dante, Villon, Goethe and „Das Ewig-Weibliche”, Puskin és Tatjana. Anyakép líránkban: Ómagyar Mária-siralom, Soproni virágének, Boldogasszony Anyánk… – Janus Pannonius, Petőfi, Arany, Gárdonyi, Ady, Babits, Juhász Gyula József Attila, Illyés Gyula, Dsida, Radnóti Pilinszky, Weöres, Vas István, Juhász Ferenc, Nagy László, Csoóri, Kalász László Nagy Gáspár anyaképe. Konklúzió: „Értelem, te segíts nékem, / hordhassam dúlt anyaképem, / szolgálni győzzem” (Nagy László: Anyakép)

PROCJENA NEAKTIVNOSTI PROTUHRANJIVIH ČIMBENIKA OSJETLJIVIH NA TOPLINU U PUNOMASNOJ SOJI

The regular quality control on the adequacy of heat treatment of fullfat soybeans requires the application of rapid chemical methods. In the present work the trypsin inhibitor activity test and the urease test were applied on fullfat soya samples that were cooked in a pressured steam (toasted) or extruded at different temperatures and speed rates. In the case of toasting both of the results of the laboratory examinations proved that the heating was adequate, while in the case of the extruded samples the two tests gave different results. In the case of certain temperature and time combinations the more rapid and less accurate urease test claimed that the heat treatment reached the aim, while the results of the trypsin inhibitor activity test showed that the level of the inhibitors was still high and the fullfat soya was underheated.Redovita kontrola kakvoće primjerenosti toplinskog tretiranja punomasne soje zahtijeva primjenu brzih kemijskih metoda. U ovom radu primijenjeni su test aktivnosti inhibitora tripsina i test ureaze na uzorcima punomasne soje kuhane u pari pod pritiskom (tostirane) ili ekstrudirane na različitim temperaturama i brzinama. U slučaju tostiranja oba rezultata laboratorijskih ispitivanja su dokazala da je grijanje bilo primjereno, dok su u slučaju ekstrudiranja uzoraka oba testa dala različite rezultate. U slučaju određene temperature i vremenske kombinacije brzi i manje točan test ureaze potvrdio je da je toplinsko tretiranje postiglo svrhu dok su rezultati testa aktivnosti inhibitora tripsina pokazali da je razina inhibitora još uvijek visoka, a punomasna soja nedovoljno zagrijana

Off-flavour compounds in common carp (Cyprinus carpio L.) flesh in context of type of fish pond

The aim of our study was to survey the geosmin (GSM) and 2-methylisoborneol (MIB) concentrations of the sediment and that of common carp (Cyprinus carpio) flesh in three different Hungarian fish farms (clayey, marshy, and sodic ponds). Results showed that the concentrations of off-flavour compounds of the sediment and fish fillets were related to the natural environment. The GSM concentration of bottom soil samples was higher, than MIB in each fish farm. Both off-flavour compounds were the highest in the marshy fish pond and the lowest in the sodic pond. In case of fish flesh, significant differences were found between the farms in GSM level and fat content. In the fish flesh the same tendency was found as in the sediments, but surprisingly, MIB concentration was higher in the fillets, referring to accumulation