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On the foundations of inversion geometry [PDF]
Transactions of the American Mathematical Society, 1951 Introduction. A 3-dimensional inversion geometry over an ordered field V in which every nonnegative number is a square may be defined as a partially ordered set II of objects called points, circles, spheres, and inversion space with the properties: (i) if p is any point, then there is an affine geometry whose "points," "lines," "planes," and "3-space ...
Alan J. Hoffman
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Core foundations of abstract geometry [PDF]
Proceedings of the National Academy of Sciences, 2013 Human adults from diverse cultures share intuitions about the points, lines, and figures of Euclidean geometry. Do children develop these intuitions by drawing on phylogenetically ancient and developmentally precocious geometric representations that guide their navigation and their analysis of object shape?
Moira Rose Dillon +2 more
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Foundations of Algebraic Geometry [PDF]
Nature, 1948 ALGEBRAIC geometry, in spite of its beauty and importance, has long been reproached for lacking proper foundations. Great discoveries have been made, especially in Italy, by the intuition of a number of gifted workers, whose insight had been cultivated by a careful study of special cases.
H. T. H. Piaggio
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Foundations of a nonlinear distributional geometry [PDF]
Acta Applicandae Mathematica, 2001 Co lombeau's construction of generalized functions (in its special variant) is extended to a theory of generalized sections of vector bundles. As particular cases, generalized tensor analysis and exterior algebra are studied. A point value characterization for generalized functions on manifolds is derived, several algebraic characterizations of spaces ...
Michael Kunzinger, Roland Steinbauer
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, 1901 I approve this thesis for the Master's degree Mr.
Andrew Gaston Gladney
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Foundations of Carrollian Geometry [PDF]
Review prepared for Physics Reports. v2: improved discussion on the degenerate metric and its time-dependency in subsection 3.3.1, minor typos ...
Luca Ciambelli, Puttarak Jai-akson
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Metric Foundations of Geometry [PDF]
Proceedings of the National Academy of Sciences, 1941 Garrett Birkhoff
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Intellectual foundations of geometry in Islamic art [PDF]
قرآن فرهنگ و تمدن, 2021 Islamic spiritual wisdom and mysticism has been formed in order to pay attention to the essence of God; the concepts of Islamic mysticism in the essence of the universe refer to the name "Allah Akbar" and the wisdom of using geometric codes and the ...
Zahra Pour Sha'banian
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The influence of the shape of high-rise buildings on the design features and methods of making foundations in difficult soil conditions [PDF]
E3S Web of Conferences, 2022 The methods of calculation and design of foundations considered in the article are applied in the construction of high-rise buildings of complex shape in heterogeneous soil conditions, leading in each case to minimizing costs.
Marinichev Maxim
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Visual foundations of Euclidean geometry
Cognitive Psychology, 2021 Geometry defines entities that can be physically realized in space, and our knowledge of abstract geometry may therefore stem from our representations of the physical world. Here, we focus on Euclidean geometry, the geometry historically regarded as “natural”.
Véronique Izard +2 more
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