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Sui moti polinomiali

Franco De Franchis (1970)

Rendiconti del Seminario Matematico della Università di Padova

Sul collasso di un ammasso di materia disgregata. Nota I

Dionigi Galletto, Bruno Barberis (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Starting from the considerations developed in [4], it is shown that the only forces at a distance exerted among the elements of an isolated spherical cluster of incoherent matter which, preserving homogeneity, is collapsing are those expressed by Newton's law of gravitation and those of the elastic type. Furthermore the reverse is shown, that is if the forces at a distance are of these two types during the collapse the homogeneity is preserved.

Sul collasso di un ammasso di materia disgregata. Nota II

Dionigi Galletto (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

With reference to Nota I, the hypothesis that the cluster 𝒰 is spherical is substituted by the hypothesis that it has an isotropic behaviour with respect to a given frame of reference O with origin in an element O internal to 𝒰 . The kinematical behaviour of 𝒰 during the collapse with respect to the frames of reference with origin in the elements of 𝒰 and in translatory motion with respect to O is studied. This behaviour is the same with respect to each of such frames, which are in translatory motion...

Sul problema del rimbalzo in un insieme convesso

Marco Degiovanni (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In the present paper we seek the bounce trajectories in a convex set which assume assigned positions in two fixed time instants. We find sufficient conditions in order to obtain the existence of infinitely many bounce trajectories.

Sulla legge di gravitazione universale. Nota I

Dionigi Galletto, Bruno Barberis (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Without making recourse to Newton's law of gravitation and starting from the concept of gravitational force, the concepts of active gravitational mass and of passive gravitational mass are introduced. Furthermore it is proved that they can be identified and that in Newton's law of gravitation the linear dependence on masses necessarily follows from the principle of superposition of simultaneous forces and from Newton's third law of dynamics.

Superintegrable Potentials and superposition of Higgs Oscillators on the Sphere S²

Manuel F. Rañada, Teresa Sanz-Gil, Mariano Santander (2003)

Banach Center Publications

The spherical version of the two-dimensional central harmonic oscillator, as well as the spherical Kepler (Schrödinger) potential, are superintegrable systems with quadratic constants of motion. They belong to two different spherical "Smorodinski-Winternitz" families of superintegrable potentials. A new superintegrable oscillator have been recently found in S². It represents the spherical version of the nonisotropic 2:1 oscillator and it also belongs to a spherical family of quadratic superintegrable...

Supplementary balance laws for Cattaneo heat propagation

Serge Preston (2013)

Communications in Mathematics

In this work we determine for the Cattaneo heat propagation system all the supplementary balance laws (shortly SBL) of the same order (zero) as the system itself and extract the constitutive relations (expression for the internal energy) dictated by the Entropy Principle. The space of all supplementary balance laws (having the functional dimension 8) contains four original balance laws and their deformations depending on 4 functions of temperature ( λ 0 ( ϑ ) , K A ( ϑ ) , A = 1 , 2 , 3 ). The requirements of the II law of thermodynamics...

Supporting locomotive functions of a six-legged walking robot

Krzysztof Walas, Dominik Belter (2011)

International Journal of Applied Mathematics and Computer Science

This paper presents a method for building a foothold selection module as well as methods for the stability check for a multi-legged walking robot. The foothold selection decision maker is shaped automatically, without expert knowledge. The robot learns how to select appropriate footholds by walking on rough terrain or by testing ground primitives. The gathered knowledge is then used to find a relation between slippages and the obtained local shape of the terrain, which is further employed to assess...

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