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Warsaw music prints in the legacy of singer Halina Mickiewiczówna (1923-2001). Part 1: Publishers, musical repertoire and the significance of the book collection. Catalog of sheet music
No full textArtykuł stanowi pierwszą część wyników szczegółowych badań nad varsavianami muzycznymi pochodzącymi ze spuścizny śpiewaczki Haliny Mickiewiczówny (1923–2001). Obejmuje rozważania historyczno-bibliologiczne, takie jak ustalenie datacji druków oraz informacji o ich wytwórcach – wydawcach i drukarniach, a także muzykologiczne – omówienie repertuaru wydawniczego i jego recepcji w działalności warszawskich wydawców. Celem artykułu jest przede wszystkim udowodnienie, że kolekcja śpiewaczki stanowi reprezentatywny wycinek warszawskiej produkcji nutowej okresu przedwojennego, międzywojennego i powojennego, a jego zawartość dokumentuje popularność w tych czasach takiego gatunku muzycznego jak pieśń solowa oraz ulubionych przez publiczność i samą Maestrę fragmentów operowych. Artykuł wieńczy katalog omówionych muzykaliów.The article is the first part of the results of a detailed study of musical varsaviana from the legacy of singer Halina Mickiewiczówna (1923–2001). It includes historical and bibliological considerations, such as establishing the dating of the prints and informations about their makers – publishers and printers, as well as musicological considerations, such as a discussion of the publishing repertoire and its reception in the activities of Warsaw publishers. The aim of the article is first and foremost to prove that the singer’s collection represents a representative fragment of Warsaw’s sheet music production of the pre-war, interwar and post-war periods, and its content documents the popularity at these times of such a musical genre as the solo song, as well as operatic excerpts favored by the public and the Maestra herself. The article concludes with a catalog of the musicals discussed
Multicolor Ramsey numbers and star-critical Ramsey numbers involving fans
No full textFor graphs and , the multicolor Ramsey number is defined as the minimum integer such that any edge-coloring of by colors contains either a monochromatic in the first colors or a monochromatic in the last color. We shall write two color Ramsey numbers as . For graphs , and , let signify that any red/blue edge coloring of contains either a red or a blue . Define the star-critical Ramsey number as where . A fan is a graph that consists of copies of sharing a common vertex, and a book is a graph that consists of copies of sharing a common . In this note, we shall show the upper bounds for , , , some of which are sharp up to the sub-linear term asymptotically. We also obtain the value of as
3-neighbor bootstrap percolation on grids
No full textGiven a graph and assuming that some vertices of are infected, the -neighbor bootstrap percolation rule makes an uninfected vertex infected if has at least infected neighbors. The -percolation number, , of is the minimum cardinality of a set of initially infected vertices in such that after continuously performing the -neighbor bootstrap percolation rule each vertex of eventually becomes infected. In this paper, we consider the -bootstrap percolation number of grids with fixed widths. If is the Cartesian product of two paths of orders and , we prove that , when is odd, and , when is even. Moreover, if is the Cartesian product , we prove that , when is odd, and , when is even. If is the Cartesian product , we prove that takes on one of two possible values, namely or
Sufficient conditions for spanning trees with constrained leaf distance in a graph
No full textThe leaf distance of a tree is the minimum of distances between any two leaves of a tree. It is well known that seeking sufficient conditions for a graph to have some special kinds of spanning trees is an interesting and popular problem. In this paper, we first provide a lower bound on the size of a graph to guarantee that has a spanning tree with leaf distance at least . Moreover, for any graph with minimum degree , we also deduce a lower bound on the spectral radius (or the signless Laplacian spectral radius) of to ensure the existence of a spanning tree with leaf distance of at least in
Hamiltonian properties in generalized lexicographic products
No full textThe lexicographic product of two graphs and is obtained from by replacing each vertex with a copy of and adding all edges between any pair of copies corresponding to adjacent vertices of . We consider also the generalized lexicographic product such that we replace each vertex of with arbitrary graph on the same number of vertices. We present sufficient and necessary conditions for traceability, hamiltonicity and hamiltonian connectivity of if is a path and hence we improved and extended results in [M. Kriesell, A note on Hamiltonian cycles in lexicographical products, J. Autom. Lang. Comb. 2 (1997) 135–138]
Skytinel Network – growth and perspectives
No full textSkytinel is a new fireball network operating in Poland from spring 2024. In less than a year, 35 stations equipped with all-sky and wide field cameras have been set up and six potential meteorite falls have been recorded. One of these was successfully found. This paper summarises the development of the Skytinel project and gives an insight into the hardware, software, and methods used in the daily operations of the network. In addition, the paper provides details of the key phenomena recorded by project participants, especially those related to meteorite falls in Poland and surrounding countries
Self-awareness of soldiers regarding risk factors for cardiovascular diseases
No full textObjectives
Cardiovascular diseases (CVDs) remain the leading cause of death in Europe. There are more and more young people and middle-aged patients with obesity, unrecognized hypertension and metabolic abnormalities. Professional soldiers should not have CVDs. Most cardiovascular risk factors can be controlled and identified.
Material and Methods
The research was conducted as the online survey. During the study, the level of knowledge regarding to cardiovascular risk factors depending on several variables, was assessed. Moreover, the assess respondents’ awareness of exposure and the level of knowledge about risk factors for CVDs and preventive measures in this area.
Results
Almost one-fourth of respondents (23.4%, N = 311) indicated the knowledge of most or all cardiovascular factors such as: high level of cholesterol, tobacco smoking, advanced aged, abdominal obesity, alcohol abuse and others. The respondents demonstrated a sufficient level of factors influencing the increase of cholesterol levels in the blood.
Conclusions
The results obtained during the study show that educational programs are necessary to raise awareness of cardiovascular risk factors and reduce incidence rate in the next step. Conducting training on harmful agents can result in raising general health awareness among Polish Soldiers
Edge coloring of products of signed graphs
No full textIn 2020, Behr defined the problem of edge coloring of signed graphs and showed that every signed graph can be colored using exactly or colors, where is the maximum degree in graph .
In this paper, we focus on products of signed graphs. We recall the definitions of the Cartesian, tensor, strong, and corona products of signed graphs and prove results for them. In particular, we show that the Cartesian product of -edge-colorable signed graphs is -edge-colorable, the tensor product of a -edge-colorable signed graph and a signed tree requires only colors and the corona product of almost any two signed graphs is -edge-colorable. We also prove some results related to the coloring of products of signed paths and cycles
Critical infrastructure as a target of hybrid and conventional attacks. Lessons from the Ukrainian experience
No full textAutor omawia problematykę ataków na infrastrukturę krytyczną Ukrainy, podejmowanych zarówno podczas działań hybrydowych (od 2014 r.), jak i w czasie pełnoskalowej rosyjskiej inwazji (od 2022 r.). Na podstawie dostępnych informacji analizuje operacje przeciwko infrastrukturze energetycznej Ukrainy. Zwraca uwagę na to, że ataki prowadzone przez rosyjskie siły mogą sięgać również na terytorium Unii Europejskiej. Przedstawia także wstępne wnioski dotyczące zarówno odporności, jak i obrony infrastruktury krytycznej.The author discusses the issue of attacks on Ukraine’s critical infrastructure, undertaken both during hybrid operations (since 2014) and during a fullscale Russian invasion (since 2022). Based on the available information, he analyses the operations against Ukraine’s energy infrastructure. He points out that attacks conducted by Russian forces may also reach the territory of the European Union. He also presents preliminary conclusions on both the resilience and defence of critical infrastructure