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This paper seeks to lay the computational and mathematical foundations for a “postmodern cybernetics” based on ancient Kabbalah. This new Kabbalistic cybernetics is introduced to act as an unifying science addressing simultaneously, in a common language and framework the triple nature of human, psychological, social, economic, financial, political, cultural systems and their present multi‐faceted crises and conflicts: cognitive objective level of attaining knowledge; subjective emotional level and physical action and behavioral level.

Feedback, hierarchical control and other system and control theoretic features in the Tree of Life (TL) of Kabbalah were identified. These were used to develop a general system theoretic framework of a new type to address human and societal system dynamics, evolution, interaction and feedback control by simultaneously taking into account their triple nature.

The postmodern cybernetics of the TL introduced here as a general system framework, exhibits feedback control with internal model principle, hierarchical control, system multi‐valued logic, category theory pullback and pushout mechanisms, advanced knowledge engineering to aggregate, learn, evolve and solve problems and crises in an integrated way.

“Kabbalistic postmodern cybernetics” proposed here for human and societal systems is the unified scientific framework to solve problems that led to or are just related to economic, financial, political, cultural, societal and human crises and conflicts by addressing their triple intertwined human nature.

Computational foundations for a postmodern cybernetics based on Kabbalah are introduced, where the cognitive, emotional and behavioral and physical action facets of human systems are dealt with in a unified integrated framework to address global problems and crises.

The class of models that can be represented by STL files is larger than the class of models that can be printed using additive manufacturing technologies. Stated differently, there exist well-formed STL files that cannot be printed. This paper aims to formalize such a gap and describe a fully automatic procedure to turn any such file into a printable model.

Based on well-established concepts from combinatorial topology, this paper provide an unambiguous description of all the mathematical entities involved in the modeling-printing pipeline. Specifically, this paper formally defines the conditions that an STL file must satisfy to be printable, and, based on these, an as-exact-as-possible repairing algorithm is designed.

It has been found that, to cope with all the possible triangle configurations, the algorithm must distinguish between triangles that bind solid parts and triangles that constitute zero-thickness sheets. Only the former set can be fixed without distortion.

Owing to the specific approach used that tracks the so-called “outer hull,” models with inner cavities cannot be treated.

Thanks to this new method, the shift from a 3D model to a printed prototype is faster, easier and more reliable.

The availability of this easily accessible model preparation tool has the potential to foster a wider diffusion of home-made 3D printing in non-professional communities.

Previous methods that are guaranteed to fix all the possible configurations provide only approximate solutions with an unnecessary distortion. Conversely, this procedure is as exact as possible, meaning that no visible distortion is introduced unless it is strictly imposed by limitations of the printing device. Thanks to such unprecedented flexibility and accuracy, this algorithm is expected to significantly simplify the modeling-printing process, in particular within the continuously emerging non-professional “maker” communities.

To describe and extend existing concepts of discrete electromagnetism in a unified formalism; to give examples for the usefulness of the presented ideas for our theoretical work, especially with regard to energy.

After a concise introduction to the mathematical concepts of discrete electromagnetism, we introduce continuous de Rham currents and give their discrete counterpart. We define operators acting upon discrete currents, and apply the theory to electromagnetism.

de Rham current theory yields a mathematical framework for the discussion of discrete electromagnetic problems: The focus is on energy‐balance equations; a discrete Lagrangian can be defined for various modeling problems; the Galerkin approach fits nicely into the proposed formalism; boundary terms in discrete formulations are an implicit feature to the theory.

In this paper, we use the interpolation of discrete fields by Whitney forms on a simplicial cell complex. The resulting discrete formulation is identical to a Galerkin finite‐element method. Other numerical techniques that do not resort to Whitney‐form interpolation can equally be discussed in de Rham‐current terminology.

Rather than a novel numerical technique, the paper presents a unified mathematical framework for the discussion of different practical approaches. We advocate a canonical treatment of energy‐related quantities and of boundary terms in discrete formulations.

Competition will affect the structure of an industry and the structure will, in turn, affect the behaviour of the firms involved. Two of the most important characteristics of the online information industry are the diversity of hosts and the range of databases offered by each one. The latter is a significant factor in searchers' choices of databases and consequently encourages hosts to compete by acquiring additional databases. This type of non‐price competition plays a key role as it is difficult to make accurate comparisons of the costs of using different hosts. Parallels are drawn with other industries in which competition is, or was, expressed chiefly in the form of capacity. The structure of one sector of the online information industry was investigated by applying Q‐analysis to data on medical databases and hosts. Changes over a three‐year period are identified and are interpreted using concepts derived from ecological niche theory. Finally, the question of what would constitute an optimum structure is considered and it is argued on the basis of an economic theory originally propounded by H. Hotelling that free competition would be unlikely to produce optimal results.

Q‐analysis is a methodology for investigating a wide range of structural phenomena. Structures are defined in terms of relations between members of sets and their salient features are revealed using techniques of algebraic topology. However, the basic method can be mastered by non‐mathematicians. Q‐analysis has been applied to problems as diverse as discovering the rules for the diagnosis of a rare disease and the study of tactics in a football match. Other applications include some of interest to librarians and information scientists. In bibliometrics, Q‐analysis has proved capable of emulating techniques such as bibliographic coupling, co‐citation analysis and co‐word analysis. It has also been used to produce a classification scheme for television programmes based on different principles from most bibliographic classifications. This paper introduces the basic ideas of Q‐analysis. Applications relevant to librarianship and information science are reviewed and present limitations of the approach described. New theoretical advances including some in other fields such as planning and design theory and artificial intelligence may lead to a still more powerful method of investigating structure.

Some necessary and sufficient conditions allowing a previously unknown space to be explored through scanning operators are reexamined with respect to measure theory. Some generalized concepts of distances and dimensionality evaluation are proposed, together with their conditions of validity and range of application to topological spaces. The existence of a Boolean lattice with fractal properties originating from non‐wellfounded properties of the empty set is demonstrated. This lattice provides a substratum with both discrete and continuous properties from which existence of physical universes can be proved, up to the function of conscious perception. Space‐time emerges as an ordered sequence of mappings of closed 3D Poincaré sections of a topological four‐space provided by the lattice, and the function of conscious perception is founded on the same properties. Self‐evaluation of a system is possible against indecidability barriers through anticipatory mental imaging occurring in biological brain systems; then our embedding universe should be in principle accessible to knowledge. The possibility of existence of spaces with fuzzy dimension or with adjoined parts with decreasing dimensions is raised, together with possible tools for their study. The work presented here provides the introductory foundations supporting a new theory of space whose physical predictions (suppressing the opposition of quantum and relativistic approaches) and experimental proofs are presented in detail in Parts 2 and 3 of the study.

Gives introductory remarks about chapter 1 of this group of 31 papers, from ISEF 1999 Proceedings, in the methodologies for field analysis, in the electromagnetic community. Observes that computer package implementation theory contributes to clarification. Discusses the areas covered by some of the papers ‐ such as artificial intelligence using fuzzy logic. Includes applications such as permanent magnets and looks at eddy current problems. States the finite element method is currently the most popular method used for field computation. Closes by pointing out the amalgam of topics.

The purpose of this paper is to develop a parametric design method for 3D human bodies to be used in computer-aided style design and the 3D presentations of warp-knitted seamless garment.

In order to obtain 3D human bodies of different sizes, all of which have been based on anthropometric measurement, a human body model template was constructed by importing vertices and facets information in an OBJ model file which had been exported from POSER. A parametric model was then established by extracting feature information from the template model using a method combining 3D geometry analysis and human semantic analysis; this information included the template model’s feature points and measurements. By applying a mesh deformation method, based on the radius basis function interpolation, to the template model, different size human bodies were then generated according to user-specific anthropometric measurements.

The test results validated the method presented in this paper as a useful and effective approach to generate diffident size human models from a template model by modifying anthropometric measurements, which establishes a foundation for the style design and 3D presentations of warp-knitted seamless garments.

This paper provides parametric design methods for generating bodies of varying size according to different anthropometric measurements in the 3D domain, which is the basis of style design and 3D presentation for warp-knitted seamless garments.

The purpose of this paper is to study algebraic structures that underlie the geometric approaches. The structures and their properties are analyzed to address how to systematically pose a class of boundary value problems in a pair of interlocked complexes.

The work utilizes concepts of algebraic topology to have a solid framework for the analysis. The algebraic structures constitute a set of requirements and guidelines that are adhered to in the analysis.

A precise notion of “relative dual complex”, and certain necessary requirements for discrete Hodge‐operators are found.

The paper includes a set of prerequisites, especially for discrete Hodge‐operators. The prerequisites aid, for example, in verifying new computational methods and algorithms.

The paper gives an overall view of the algebraic structures and their role in the geometric approaches. The paper establishes a set of prerequisites that are inherent in the geometric approaches.

An optimal network design model is formulated providing a set of link investment pattern for the most reliable network with highest network performance under uncertain conditions. The connectivity probability of a link is assumed to be improved by the investment to the link. The object function is represented as the expected performance measure. The formulated model is categorized in a group of stochastic network design problem in which the existence of a link is probabilistic. The characteristics of the gradient vector of the objective function are analyzed. The derivatives of the objective function can be approximately evaluated without enumerating all possible network state vectors. Numerical examples are calculated for analyzing the sensitivity of optimal investment policies.