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Band copulas as spectral measures for two-dimensional stable random vectors

100%

Bojarski J. , K. Misiewicz J.

Discussiones Mathematicae Probability and Statistics

2003

tom 23

nr 1

69-75

In this paper, we study basic properties of symmetric stable random vectors for which the spectral measure is a copula, i.e., a distribution having uniformly distributed marginals.

A differential equation related to the $l^{p}$-norms

80%

Bojarski J. , Małolepszy T. , Matkowski J.

Annales Polonici Mathematici

2011

tom 101

nr 3

251-265

Let p ∈ (1,∞). The question of existence of a curve in ℝ₊² starting at (0,0) and such that at every point (x,y) of this curve, the $l^{p}$-distance of the points (x,y) and (0,0) is equal to the Euclidean length of the arc of this curve between these points is considered. This problem reduces to a nonlinear differential equation. The existence and uniqueness of solutions is proved and nonelementary explicit solutions are given.

Eneolithic metal objects hoard from Kałdus, Chełmno commune, kujawsko-pomorskie voivodeship

70%

Adamczak K. , Kowalski Ł. , Bojarski J. , Weinkauf M. , Garbacz-Klempka A.

Sprawozdania Archeologiczne

2015

tom 67

199-219

The paper presents the results of archaeological and metallurgical research performed on a hoard of three metal objects: a double spiral ornament, a dagger and a hammer-axe. The artefacts were discovered at site 2 in Kałdus, Chełmno commune, kujawsko-pomorskie voivodeship. The objects were discovered within the Wiórek phase of a Funnel Beaker culture context. They were probably deposited into a votive pit. Typological analyses have been carried out. The relative chronology of the objects was determined by the results of typological analyses. The dagger is of Usatovo type and the typological classification of the other objects causes difficulties. The hoard is dated to the second half of the 4th millennium cal. BC. The artefacts’ chemical composition and macrostructure analyses were also performed. It has been concluded that all the objects from the hoard were made of arsenic copper with the dagger also enriched with arsenic minerals. The manufacture technique and objects’ usage traces have been recognized. Using the results of typological and chemical analyses the provenance of the hoard from Kałdus is discussed

Domniemana karczma z wczesnośredniowiecznego zespołu osadniczego w K ałdusie na Pomorzu Nadwiślańskim

51%

Chudziak W. , Weinkauf M. , Siemianowska E. , Bojarski J. , Kowalewska B. , Szczepanik P. , Abramów J. , Bienias D. , Makowiecki D.

Przegląd Archeologiczny

2016

tom 64

133-172

The paper concerns one of the construction discovered within the early medieval, immediately adjacent to a fortified centre, ancillary settlement in Kałdus (historical Chełmno), which has been interpreted as remains of a supposed inn. It includes formal analysis of the construction and of movable objects found within, carried out in comparison with the results of studies over the spatial and functional layout of the settlement. The analysis was carried out in the context of theoretical knowledge on medieval inns, and especially of the content of the so-called Mogilno forgery, where nonum forum cum tabernario in Culmine was mentioned.