Quantum carpets in a leaky box: Poincaré's recurrences in the continuous spectrum

The freedom to define branch cuts of the complex function is used to derive an integral representation of the quantum carpet, thus producing a generalization of the Poincaré recurrence theorem in the case of the continuous spectrum. This approach provides a different way to renormalize resonant states to be both space and time convergent. The coherence of quantum carpets was related to the properties of the Wigner function in the canonical time-frequency phase space. It has been shown that the distortion of the Wigner function shape is directly responsible for the lack of the ability of the dynamics to produce revivals equally as sharp as the initial wave packet

The Morphological analysis of the rainbow scattering effect in proton transmission through graphene

The main goal of our analysis is to show that the shape of the angular distributions can be used to study 2D materials. For this kind of systems, angular distributions contain lines along which large yield dominantly determine their shape. We focus on the relationship between the reduced interaction potential and the shape of the rainbow pattern. Metamorphoses of the rainbow pattern in the impact parameter plane were investigated and attributed to the bifurcations of the critical points of the rainbow line curvature. It will be shown that the impact parameter rainbow vertices are connected with the corresponding cusps of rainbows in the scattering angle plane, and their bifurcations will be analyzed in detail.The XXVI International Conference on Ion-Surface Interactions; August 21-25, 2023, Yaroslavl, RussiaXXVI Международная конференция Взаимодействие ионов с поверхностью «ВИП-2023

The Morphological Analysis of the Collagen Fiber Straightness in the Healthy Uninvolved Human Colon Mucosa Away From the Cancer

The morphological method—based on the topology and singularity theory and originally developed for the analysis of the scattering experiments—was extended to be applicable for the analysis of biological data. The usefulness of the topological viewpoint was demonstrated by quantification of the changes in collagen fiber straightness in the human colon mucosa (healthy mucosa, colorectal cancer, and uninvolved mucosa far from cancer). This has been done by modeling the distribution of collagen segment angles by the polymorphic beta-distribution. Its shapes were classified according to the number and type of critical points. We found that biologically relevant shapes could be classified as shapes without any preferable orientation (i.e. shapes without local extrema), transitional forms (i.e. forms with one broad local maximum), and highly oriented forms (i.e. forms with two minima at both ends and one very narrow maximum between them). Thus, changes in the fiber organization were linked to the metamorphoses of the beta-distribution forms. The obtained classification was used to define a new, shape-aware/based, measure of the collagen straightness, which revealed a slight and moderate increase of the straightness in mucosa samples taken 20 and 10 cm away from the tumor. The largest increase of collagen straightness was found in samples of cancer tissue. Samples of healthy individuals have a uniform distribution of beta-distribution forms. We found that this distribution has the maximal information entropy. At 20 cm and 10 cm away from cancer, the transition forms redistribute into unoriented and highly oriented forms. Closer to cancer the number of unoriented forms decreases rapidly leaving only highly oriented forms present in the samples of the cancer tissue, whose distribution has minimal information entropy. The polarization of the distribution was followed by a significant increase in the number of quasi-symmetrical forms in samples 20 cm away from cancer which decreases closer to cancer. This work shows that the evolution of the distribution of the beta-distribution forms—an abstract construction of the mind—follows the familiar laws of statistical mechanics. Additionally, the polarization of the beta-distribution forms together with the described change in the number of quasi-symmetrical forms, clearly visible in the parametric space of the beta-distribution and very difficult to notice in the observable space, can be a useful indicator of the early stages in the development of colorectal cancer

Različiti pogledi na Veliki rat u britanskoj poeziji Prvog svjetskog rata

The Great War was one of the deadliest global conflicts in modern history which reshaped the world. There are different perspectives on war and its purposes. One the one hand, Rupert Brooke’s poems “The Soldiers” and “Peace” present the view of the patriotic Englishmen which romanticized war as a noble opportunity to fight for one’s glory and nation. On the other hand, there is the perspective that criticizes the illusion of a glorious war, which is presented in Siegfried Sassoon’s poems “Enemies” and “Attack,” Wilfred Owen’s “Dulce et Decorum Est” and “Futility,” Isaac Rosenberg’s “The Dead Heroes” and “Break of Day in the Trenches” and Charles Hamilton Sorley’s “When You See Millions of the Mouthless Dead” and “To Germany.” Analysing World War One from a range of different perspectives is crucial for understanding the magnitude of the war and its influence on the literature of that period, which shifted from pro-war, political literature to pacifist literature

Analysis of the high school curriculum

Cilj ovog diplomskog rada je da se na temelju Okvirnog plana i programa za srednje četverogodišnje škole utvrdi jesu li programske zadaće usmjerene prema ostvarivanju zadanih ciljeva i svrhe tjelesne i zdravstvene kulture. Isto tako, cilj je i analizirati programske sadržaje te njihovu ulogu u ostvarivanju programski zadaća (obrazovne, kinantropološke i odgojne). Uvidom u prikazane tablice kao i grafičke prikaze može vidjeti drastična odstupanja od jednakoga ispunjavanja svih potrebnih parametera za kvalitetan razvoj učenikovog biopsihosocijalnog statusa. Uz tablice te grafičke prikaze, izveden je i hi – kvadrat test. Hi – kvadrat (x2) test je postupak koji može osobito poslužiti onda kad želimo utvrditi odstupaju li neke dobivene (opažene) frekvencije od frekvencija koje bismo očekivali pod određenom hipotezom. Naša hipoteza pretpostavljana je na tome da programski sadržaji te programske zadaće ne zadovoljavaju sve potrebne uvjete za razvoj učenika u srednjim školama.The main goal of this paper is, based on “High school curriculum”, to determine whether program tasks are directed to achieve the goals and purposes of physical education. Likewise, the goal is to analyse program content to notice their role in achievement of program tasks. Examining tables and diagrams, one can see drastic deviation from the equal fulfilment of all the necessary parameters for the quality development of the pupil's bio psychosocial status. Beside tables and diagrams, a chi-square test (x2) has been made, a test used to determine whether obtained frequencies differ from the frequencies expected under a given hypothesis. Our hypothesis is assumed on the fact that program tasks and program goals do not accomplish necessary conditions for development of high school pupils

Analysis of the high school curriculum

Cilj ovog diplomskog rada je da se na temelju Okvirnog plana i programa za srednje četverogodišnje škole utvrdi jesu li programske zadaće usmjerene prema ostvarivanju zadanih ciljeva i svrhe tjelesne i zdravstvene kulture. Isto tako, cilj je i analizirati programske sadržaje te njihovu ulogu u ostvarivanju programski zadaća (obrazovne, kinantropološke i odgojne). Uvidom u prikazane tablice kao i grafičke prikaze može vidjeti drastična odstupanja od jednakoga ispunjavanja svih potrebnih parametera za kvalitetan razvoj učenikovog biopsihosocijalnog statusa. Uz tablice te grafičke prikaze, izveden je i hi – kvadrat test. Hi – kvadrat (x2) test je postupak koji može osobito poslužiti onda kad želimo utvrditi odstupaju li neke dobivene (opažene) frekvencije od frekvencija koje bismo očekivali pod određenom hipotezom. Naša hipoteza pretpostavljana je na tome da programski sadržaji te programske zadaće ne zadovoljavaju sve potrebne uvjete za razvoj učenika u srednjim školama.The main goal of this paper is, based on “High school curriculum”, to determine whether program tasks are directed to achieve the goals and purposes of physical education. Likewise, the goal is to analyse program content to notice their role in achievement of program tasks. Examining tables and diagrams, one can see drastic deviation from the equal fulfilment of all the necessary parameters for the quality development of the pupil's bio psychosocial status. Beside tables and diagrams, a chi-square test (x2) has been made, a test used to determine whether obtained frequencies differ from the frequencies expected under a given hypothesis. Our hypothesis is assumed on the fact that program tasks and program goals do not accomplish necessary conditions for development of high school pupils

Različiti pogledi na Veliki rat u britanskoj poeziji Prvog svjetskog rata

The Great War was one of the deadliest global conflicts in modern history which reshaped the world. There are different perspectives on war and its purposes. One the one hand, Rupert Brooke’s poems “The Soldiers” and “Peace” present the view of the patriotic Englishmen which romanticized war as a noble opportunity to fight for one’s glory and nation. On the other hand, there is the perspective that criticizes the illusion of a glorious war, which is presented in Siegfried Sassoon’s poems “Enemies” and “Attack,” Wilfred Owen’s “Dulce et Decorum Est” and “Futility,” Isaac Rosenberg’s “The Dead Heroes” and “Break of Day in the Trenches” and Charles Hamilton Sorley’s “When You See Millions of the Mouthless Dead” and “To Germany.” Analysing World War One from a range of different perspectives is crucial for understanding the magnitude of the war and its influence on the literature of that period, which shifted from pro-war, political literature to pacifist literature