Abstract Given a bounded convex subset C of Banach space X and free ultrafilter $${\mathcal {U}}$$ U , we study which points $$(x_i)_{\mathcal ( x i ) are extreme the ultrapower $$C_{\mathcal <mml...

Finding the best weights of the state variables and the control variables in the objective function of a linear-quadratic control problem is considered. The weights of these variables are considered as two diagonal matrices with appropriate size and so the objective function of the control problem becomes a function of the diagonal elements of these matrices. The optimization problem which is d...

The multi-class metric problem in nearest neighbour dis-21 nearest neighbors than we achieved. Friedman (1994) proposes a number of techniques for exible metric nearest neighbor classiication. These techniques use a recursive partitioning style strategy to adaptively shrink and shape rectangular neighborhoods around the test point. Friedman also uses derived variables in the process, including ...

background: apolipoprotein a2 (apoa2) is the second major apolipoprotein of the high-density lipoprotein cholesterol (hdl-c). the study aim was to identify apoa2 gene variation in individuals within two extreme tails of hdl-c levels and its relationship with hdl-c level. methods: this cross-sectional survey was conducted on participants from tehran glucose and lipid study (tlgs) at research ins...

The codling moth, Cydia pomonella L. (Lepidoptera: Tortricidae), a worldwide apple pest, is classified as a freeze-intolerant organism and one of the most cold-tolerant pests. The objectives of this study were to examine the supercooling point of overwintering and non-diapausing larvae of C. pomonella as an index of its cold hardiness, and to assess larval mortality following 24 h exposure to e...

This article investigates the notions of exposed points and (exposed) faces in matrix convex setting. Matrix finite dimensions were first defined by Kriel 2019. Here this notion is extended to sets infinite-dimensional vector spaces. Then a connection between extreme established: point ordinary if only it exposed. leads Krein-Milman type result for that due Straszewicz-Klee classical convexity:...