Aritmeettis-geometris-harmoninen keskiarvoepäyhtälö
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Jana-aritmetiikka geometrisesti
Hassi, Juuso (2021)Tämän tutkielman tarkoituksena on esittää vaihtoehtoinen tapa määritellä jana-aritmetiikka. Yleisesti jana-aritmetiikkaa määriteltäessä on totuttu antamaan janalle pituus, joka usein kiinnitetään reaalilukuihin. Tällä ... -
Aesthetics of Geometry and the Problem of Representation in Monument Sculpture
Lähdesmäki, Tuuli (Birkhäuser, 2017)Since the 1920s and 1930s, constructivist and concretist visual art movements have stressed geometric forms, proportions and orders as a base for artistic expressions and aesthetic experiences. After the World War II ... -
Dynamics of the scenery flow and geometry of measures
Käenmäki, Antti; Sahlsten, Tuomas; Shmerkin, Pablo (Oxford University Press; London Mathematical Society, 2015)We employ the ergodic theoretic machinery of scenery flows to address classical geometric measure theoretic problems on Euclidean spaces. Our main results include a sharp version of the conical density theorem, which we ... -
Geometry of Quadrangles in Almqvist’s The Queen’s Tiara
Kukkonen, Tiina Katriina (Tessellations Publishing, 2018)Quadrangles are repeatedly used in construction of scenes in Swedish author C. J. L. Almqvist’s novel The Queen’s Tiara. They limit and frame views. Repeating these structures creates connections between scenes. They form ... -
The Hajłasz Capacity Density Condition is Self-improving
Canto, Javier; Vähäkangas, Antti V. (Springer Science and Business Media LLC, 2022)We prove a self-improvement property of a capacity density condition for a nonlocal Hajłasz gradient in complete geodesic spaces with a doubling measure. The proof relates the capacity density condition with boundary ...