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Discrete and Discretized Structures
2020This chapter begins by identifying four possible states or situations: continuous systems (state 1) modeled in discrete form (state 2), and naturally discrete systems (state 3) modeled in continuous form (state 4). We refer to state 2 as a discretized state whereas state 4 is referred to as a homogenized state.
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Discrete gradients in discrete classical mechanics
International Journal of Theoretical Physics, 1987A simple model of discrete classical mechanics is given where, starting from the continuous Hamilton equations, discrete equations of motion are established together with a proper discrete gradient definition. The conservation laws of the total discrete momentum, angular momentum, and energy are demonstrated.
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DISCRETE AND QUASI-DISCRETE MODULES
Communications in Algebra, 2002ABSTRACT We show that discrete and quasi-discrete modules can be characterized in terms of the lifting of homomorphisms from to , for certain submodules of . We prove that is quasi-discrete iff is amply supplemented and satisfies for every positive integer and; is discrete iff is lifting and satisfies for every positive integer .
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Oberwolfach Reports, 2006
Discrete Geometry deals with the structure and complexity of discrete geometric objects ranging from finite point sets in the plane to more complex structures like arrangements of n -dimensional convex bodies.
Martin Henk, Jiří Matoušek, Emo Welzl
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Discrete Geometry deals with the structure and complexity of discrete geometric objects ranging from finite point sets in the plane to more complex structures like arrangements of n -dimensional convex bodies.
Martin Henk, Jiří Matoušek, Emo Welzl
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2019
Discretionary judgement-defined as the freedom to decide how to act within controlled limits-is increasingly being exercised in teams and networks. We introduce the notion of collective discretionary room to emphasize this relational nature of discretionary judgement.
Rutz, S., de Bont, A.
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Discretionary judgement-defined as the freedom to decide how to act within controlled limits-is increasingly being exercised in teams and networks. We introduce the notion of collective discretionary room to emphasize this relational nature of discretionary judgement.
Rutz, S., de Bont, A.
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Journal of Knot Theory and Its Ramifications, 2002
A method for representing knots by means of a chain code is presented. Knots which are digitalized and represented by the orthogonal direction change chain code are called discrete knots. Discrete knots are composed of constant straight-line segments using only orthogonal directions. The chain elements represent the orthogonal direction changes of the
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A method for representing knots by means of a chain code is presented. Knots which are digitalized and represented by the orthogonal direction change chain code are called discrete knots. Discrete knots are composed of constant straight-line segments using only orthogonal directions. The chain elements represent the orthogonal direction changes of the
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Discrete reaction waves: Gasless combustion of solid powder mixtures
Progress in Energy and Combustion Science, 2008Alexander S Mukasyan, A S Rogachev
exaly