120,233 research outputs found
Adriano Olivetti, ovvero dell’etica della responsabilità : conversazione tra Alberto Sinigaglia, Luciano Gallino, Massimo L. Salvadori e Davide Cadeddu
No full textCONTRIBUTI PER UNA RIFLESSIONE. LA DIMENSIONE RELAZIONALE DELL'ARTE NELLA COSTRUZIONE DELLO SPAZIO PUBBLICO CONTEMPORANEO
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Wine and maths: mathematical solutions to wine–inspired problems
No full textWe deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth z0 of a wine cellar in order to attenuate the periodic temperature fluctuations. What follows is a kind of survey of wine-related and optimization problems which have been solved by means of powerful math tools
PAESAGGI MINERARI.ARCHITETTURE E IMMAGINAZIONI TECNOLOGICHE PER COMPENDIO MONTEVECCHIO INGURTOSU PISCINAS
No full textWine and maths: mathematical solutions to wine–inspired problems
No full textWe deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth z0 of a wine cellar in order to attenuate the periodic temperature fluctuations. What follows is a kind of survey of wine-related and optimization problems which have been solved by means of powerful math tools
The diet problem, a mathematical approach
No full textBackground and aim: Differential equations have always been used to modelize physical phenomena from other branches of science: physics, biology, chemistry, engineering, computer science etc. The aim of this paper is to find a simple mathematical model that can describe the variation of weight depending on
time and calories intake. The idea is simple and is based on the so-called Malthus mathematical model, an ordinary differential equation associated to an initial condition, which studies the growth of a population with respect to a certain phenomenon or under the influence of external/internal factors. Methods: The most basic and intuitive Malthus model is formalized as follows: given P=P(t) the function that describes the size of a population, the ordinary differential equation P’(t)=rP expresses the fact that the rate of change of the size of the population (i.e. the derivative P’(t) with respect to the time t) depends directly on the size of the population itself multiplied by a factor r that represents the population growth rate, sometimes called Malthusian parameter. The equation needs to be associated to an initial condition, say P0 = P(0), which represents the size of the population at the time t=0. The solution of this problem can be calculated explicitly and this allows to
precisely link the weight loss (or gain) according to calories intake, expected time, gender, kind of physical activity etc. Results: Our model considers age, gender and physical activity and allows us to discuss how to calculate a reasonable diet plan depending on different variables. Morever, it can give an idea, by studying the
asymptotic behaviour of the solution, why the so-called miracle-diets can’t work, why long diet plans usually fail and how to deal with severe obesity. Conclusions: The results obtained by means of this mathematical model shed new light on how to approach the creation of a reasonable diet plan. These results can be improved
by introducing numerical simulations, which is the aim of a subsequent paper
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