Temat: cardioid - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Geometria kardioidy
Geometry of cardioid
Autorzy:: Wilkos, Dorota
Opis:: The aim of the thesis is to present the selected geometric properties of the cardioid curve. The backgrround, occurence of the curve and most important definitions have been discussed in the introduction chapter. The main part of the thesis presents theorems as well as properties, related to the cardioid curve, and their proofs. Most relevant thoerems and properties that have been discussed in the thesis are related to the tangent line to the cardioid; angle oriented between the line tangent to the cardioid and the line determined by the cusp and the vertex of the cardioid.
Przedmiotem pracy jest przedstawienie geometrycznych własności kardioidy. Omówiona została geneza, występowanie krzywej oraz niezbędne definicje. W głównej części pracy zostały opisane i udowodnione twierdzenia oraz własności kardioidy dotyczące m. in. stycznej do omawianej krzywej, kąta zorientowanego między styczną a prostą wyznaczoną przez spodek i wierzchołek kardioidy.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

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Skocz do pozycji: 2.

Tytuł:: Wykorzystanie danych Numerycznego Modelu Terenu do poszukiwania i wstępnej identyfikacji struktur impaktowych
Use of the digital elevation models (DEM) as a tool for searching and preliminary identification of impact structures
Autorzy:: Walesiak, Tomasz
Tematy:: cardioid pattern
crater field
impact structures
morphometry
oblique; Pokaż więcej
Wydawca:: Polskie Towarzystwo Meteorytowe
Powiązania:: https://bibliotekanauki.pl/articles/1033155.pdf Link otwiera się w nowym oknie
Opis:: Is it possible that in Poland, instead of Morasko and still unconfirmed structures Porzadzie, Jaszczulty and Ochudno, may exist some other impact craters? To answer this question, investigations were performed, which were based on the digital elevation models. There are plenty of cavities, having different origin (e.g. a result of past glaciations, human activities or the Second World War), where some criteria may be applied, which could help to distinguish one from another. The main assumption was that during oblique impact (low angle in relation to the surface) there may develop special type of craters having cardioid (heart-shaped) ejecta pattern (as well as shape of cavity), with axis of symmetry parallel to the initial trajectory. Such structures were observed many times during experiments as well as can be easily found on other celestial bodies. Having preserved rims, even if they are much shallower than typical craters (because of secondary changes), such cavities are perfect candidates to be suspected of the impact origin. As a result of research between 2015 and 2017 there were discovered 3 locations (instead of Ochudno) with heart-shaped structures, which may represent combined effect of ejection angles, velocities and directions, known from experiments and confirmed craters. In all cases there are noticeable rims. The largest “spoon-like” structure, discovered near the Rowista village, is almost perfect copy of a very unusual elongated crater located north of the Acheron Fossae on Mars.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Analiza cech impaktu ukośnego na przykładzie struktur Porządzie, Jaszczułty i Ochudno
Analysis of oblique impact features. A case study of Porzadzie, Jaszczulty and Ochudno structures
Autorzy:: Walesiak, Tomasz
Tematy:: asymmetry
cardioid
craters
ejecta
experiments
impact structures
oblique; Pokaż więcej
Wydawca:: Polskie Towarzystwo Meteorytowe
Powiązania:: https://bibliotekanauki.pl/articles/1033069.pdf Link otwiera się w nowym oknie
Opis:: It’s considered that one half of all projectiles are striking surface of planets at the angle lower than 45°. Our knowledge of oblique impact events is based on computer modelling, laboratory experiments and observation of craters on the Moon, Mars, Venus and other celestial bodies. Recent discovery in northeast Poland, reveals at least four structures with features reserved for low-angle impacts. In this article we show and explain them using high-quality laser air scanning data (LiDAR) in comparison to results of experiments and similar real known objects on other planets. Also we try to verify by analyzing historical sources if multiple impact event could occur in our area and, if it was noticed and reported in the papers.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Explicit solutions in isotropic planar elastostatics
Autorzy:: Czyż, Rafał
Perälä, Antti
Åhag, Per
Granath, Andreas
Opis:: Addressing the intricate challenges in plane elasticity, especially with non-vanishing traction and complex geometries, requires innovative methods. This paper offers a novel approach, drawing inspiration from the Neumann problem for the inhomogeneous Cauchy-Riemann equations. Our method applies to domains conformally equivalent to a unit disk or an annulus, focusing on deriving explicit solutions for the displacement field rather than the stress tensor, which distinguishes it from most traditional approaches. We explore solutions for specific classical cases to demonstrate its efficacy, such as a cardioid domain, a ring domain with a shifted hole, and a gear-like structure. This work enhances the toolkit for researchers and practitioners tackling isotropic planar elastostatic challenges with a unified and flexible approach.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

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Skocz do pozycji: 5.

Tytuł:: Properties and applications of cardioid
Własności i zastosowania kardioidy
Autorzy:: Stuglik, Urszula
Opis:: The bachelor thesis presents various definitions of cardioid and its properties. The shape of this curve is also analysed. The last chapter contains selected applications of cardioid.
W pracy przedstawiono różne określenia kardioidy oraz wynikające z tego jej własności. Dokonano również analizy kształtu wspomnianej krzywej . Ostatni rozdział zawiera wybrane zastosowania kardioidy.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

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