Summa de arithmetica geometria proportioni & proportionalita

This illustration is the title page to the 1494 edition of the Summa de arithmetica geometria proportioni & proportionalita published in Venice by Paganino de Paganini

Summa de arithmetica geometria proportioni et proportionalita [Title page]

This illustration is the title page for Summa de arithmetica geometria proportioni et proportionalita, by Luca Pacioli. Tusculano : Paganino de Paganini, 152

Divina proportione

En el registro del CPBE constan las secuencias de lám. como insertas en la primera parte de la obraEl nombre del autor figura en h. A2rColofones en hs. E9v y en c10rSign.: A6, B-D8, E10 a-b8, c10 []62Iniciales xil

Cylindrical vaults and their evolution to Felix Candela's long cylindrical roof shells. A geometric and mechanical analysis

[EN] Man has copied nature geometric laws to get the maximum quality of the materials. These geometric laws are used for years to this day both in the formal, constructive aspects or the structural calculation.A historical review that is topped with the emergence of a new material such as reinforced concrete and the maximum structural utilization through the use of plastic calculation of long cylindrical shells of Felix Candela is made[ES] El hombre ha copiado de la naturaleza sus leyes geométricas para sacar las máximas cualidades de los materiales usándolas tanto en los aspectos formales, constructivos o en el cálculo estructural.Se hace una revisión histórica que se remata con la aparición de un nuevo material como el hormigón armado y el máximo aprovechamiento estructural a través del uso del cálculo plástico de las cáscaras cilíndricas largas de Félix Candela.Martínez Martínez, M.; Echeverría Valiente, E. (2017). Las bóvedas cilíndricas y su evolución hasta las cáscaras cilíndricas largas de cubierta de Félix Candela. Análisis geométrico y mecanico. EGA. Revista de Expresión Gráfica Arquitectónica. 22(30):160-169. doi:10.4995/ega.2017.7846.SWORD1601692230Faber, C., Echegaray, M.M. y Candela, F. 1970. Las estructuras de Candela. Compa-ía Editorial Continental, S.A. Mexico-Espa-a-argentina-Chile.Freizer, A. F., 1737. Traite de Stéréotomie a l'usage de l'architecture. Paris.Ghyka, M., 1977. Estética de las Proporciones en la Naturaleza y en las artes. Ed. Poseidon, Barcelona.Kazinczy, G.v.,1933. Die Plastizitat des Eisenbetons. Beton und Eisen,p. 74-80.Lundgren, H., 1949. Cylindrical Shells. volumen I: Cylindrical Roofs. The Danish Techical Press the Institution of Danish Civil Engineers.Pacioli, L. 1987. Divina Proportione. Ed. Akal, Madrid.Rabasa, E. y López, A. 2012. El Escorial, Estereotomía de la piedra. El Escorial: historia, arte, ciencia y matemáticas. Pág. 149 a 180. Madrid. Ministerio de Educación, Cultura y Deporte.Tonda, J. A., 1973. Cascarones de Concreto. Instituto Mexicano del Cemento y del Concreto A.C

The time resolution of the St. Petersburg paradox

A resolution of the St. Petersburg paradox is presented. In contrast to the standard resolution, utility is not required. Instead, the time-average performance of the lottery is computed. The final result can be phrased mathematically identically to Daniel Bernoulli's resolution, which uses logarithmic utility, but is derived using a conceptually different argument. The advantage of the time resolution is the elimination of arbitrary utility functions.Comment: 20 pages, 1 figur

The perseverance of Pacioli's goods inventory accounting system

This paper details sources of the 'undoubtedly strange' (Yamey, 1994a, p.119) system of goods inventory records described in Pacioli’s 1494 bookkeeping treatise and traces the longevity and widespread use of this early perpetual inventory recording (EPIR) system in English language texts. By doing so and contrasting this system with the bookkeeping treatment of modern texts, it is shown that the EPIR system persisted as the dominant form of goods inventory accounting for between 400 and 500 years and that the reasons for its demise are worthy of further consideration and research

Modelling the underlying principles of human aesthetic preference in evolutionary art

Our understanding of creativity is limited, yet there is substantial research trying to mimic human creativity in artificial systems and in particular to produce systems that automatically evolve art appreciated by humans. We propose here to study human visual preference through observation of nearly 500 user sessions with a simple evolutionary art system. The progress of a set of aesthetic measures throughout each interactive user session is monitored and subsequently mimicked by automatic evolution in an attempt to produce an image to the liking of the human user