The HolorGraphic Modeling HGM integrates the topological graph representation of a system and the operational calculus over the domain of its measurements. In the HGM all variables and operators are holors. There is no distinction between operators and the structured variables they operate on. The basic atomic object is the scalar. Therefore, all operations are performed on scalars in terms of simple scalar additions and multiplications. Due to these properties, the HolorGraphic framework consistently combines the numerical representation of topological graphs with the transformations, and variables for the purpose of formulating the equations that govern the physical system
Cartesian graphs constitute an important class of knowledge representation devices. As part of a pro...
International audienceIn this paper we present meta-rules to express an infinite class of semantical...
We will introduce two models, namely bigraphs and cogs-graphs, describing computational systems in w...
The HolorGraphic Modelling System HGMS is a general computational framework for the algebraic manipu...
In physical systems theory, the graph-based modelling has become the basis of a wide range of formul...
Geometric modeling and computational representations of shapes have been subject to intense research...
Dans cette thèse, qui s’inscrit dans l’étude de la modélisation géométrique via les méthodes formell...
The Holonomic Systems Approach was proposed in the early 1990s by Doron Zeilberger and has turned ou...
AbstractWe give a generic classification of holonomic systems with classical complete solutions unde...
We describe a rich family of binary variables statistical mechanics models on planar graphs which ar...
This PhD thesis is in line with the study of geometric modeling by the means of formal methods. We p...
This thesis introduces normal factor graphs under a new semantics, namely, the exterior function sem...
Abstract: The main thesis of this paper is that intricate nature of software systems can, and in our...
Die Kenntnis der hierarchischen Strukturen von komplexen Objekten ist für die interaktive Analyse un...
Graphic representations may be considered as a tool for deriving a mathematical model from a qualita...
Cartesian graphs constitute an important class of knowledge representation devices. As part of a pro...
International audienceIn this paper we present meta-rules to express an infinite class of semantical...
We will introduce two models, namely bigraphs and cogs-graphs, describing computational systems in w...
The HolorGraphic Modelling System HGMS is a general computational framework for the algebraic manipu...
In physical systems theory, the graph-based modelling has become the basis of a wide range of formul...
Geometric modeling and computational representations of shapes have been subject to intense research...
Dans cette thèse, qui s’inscrit dans l’étude de la modélisation géométrique via les méthodes formell...
The Holonomic Systems Approach was proposed in the early 1990s by Doron Zeilberger and has turned ou...
AbstractWe give a generic classification of holonomic systems with classical complete solutions unde...
We describe a rich family of binary variables statistical mechanics models on planar graphs which ar...
This PhD thesis is in line with the study of geometric modeling by the means of formal methods. We p...
This thesis introduces normal factor graphs under a new semantics, namely, the exterior function sem...
Abstract: The main thesis of this paper is that intricate nature of software systems can, and in our...
Die Kenntnis der hierarchischen Strukturen von komplexen Objekten ist für die interaktive Analyse un...
Graphic representations may be considered as a tool for deriving a mathematical model from a qualita...
Cartesian graphs constitute an important class of knowledge representation devices. As part of a pro...
International audienceIn this paper we present meta-rules to express an infinite class of semantical...
We will introduce two models, namely bigraphs and cogs-graphs, describing computational systems in w...