An Investigation on a Coptic Embroidered Panel from the 13th Century “Crucifixion with the Twelve Apostles” (Benaki Museum, Athens)

The “Crucifixion with the twelve Apostles”, a unique Coptic embroidered panel, was on display at the Benaki Museum (Athens, Greece). The representation of the “Crucifixion” with Christ in the center and six Apostles on either side, standing next to each other in frontal poses, is quite a rare one. This rare iconographic image of the twelve Apostles could be linked to the Ascension or the Pentecost. This unique representation of the Crucifixion with the twelve Apostles, which also involves the Ascension, is a one-of-a-kind compositional formula representing Christ’s Death as a triumph over Death, emphasizing, along with the other factors, its non-Chalcedonic origin. Moreover, the interpretation of an inscription, written in at least three languages embroidered in black silk thread, is a matter which confuses the issue even more. In the present study, we will attempt a comprehensive investigation, a detailed description, and interpretation of this rare iconography, based on written and iconographic evidence traced in the history of art heritage objects.

Computation of Edge Resolvability of Benzenoid Tripod Structure

In chemistry, graphs are commonly used to show the structure of chemical compounds, with nodes and edges representing the atom and bond types, respectively. Edge resolving set λ e is an ordered subset of nodes of a graph C , in which each edge of C is distinctively determined by its distance vector to the nodes in λ . The cardinality of a minimum edge resolving set is called the edge metric dimension of C . An edge resolving set L e , f of C is fault-tolerant if λ e , f ∖ b is also an edge resolving set, for every b in λ e , f . Resolving set allows obtaining a unique representation for chemical structures. In particular, they were used in pharmaceutical research for discovering patterns common to a variety of drugs. In this paper, we determine the exact edge metric and fault-tolerant edge metric dimension of benzenoid tripod structure and proved that both parameters are constant.

Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications

We study direct integrals of quadratic and Dirichlet forms. We show that each quasi-regular Dirichlet space over a probability space admits a unique representation as a direct integral of irreducible Dirichlet spaces, quasi-regular for the same underlying topology. The same holds for each quasi-regular strongly local Dirichlet space over a metrizable Luzin σ-finite Radon measure space, and admitting carré du champ operator. In this case, the representation is only projectively unique.

The Discrete Rational Cubic Spline Interpolator

The problem of Discrete C2 Rational Cubic Spline has been proposed and Error bound obtained. The Discrete Rational Method have unique representation.

A Canonical String Encoding for Pure Bigraphs

The bigraph theory, devised by Robin Milner, is a recent mathematical framework for concurrent processes. Its generality is able to subsume many existing process calculi, for example, CCS, CSP, and Petri nets. Further, it provides a uniform proof of bisimilarity, which is a congruence. We present the first canonical string encoding for pure and lean bigraphs by lifting the breadth-first canonical form of rooted unordered trees to a unique representation for bigraphs up to isomorphism (i.e., lean-support equivalence). The encoding’s applicability is limited to atomic alphabets. The time complexity is $$O(n^{2}k\, d \log {d})$$ O ( n 2 k d log d ) , where n is the number of places, d the degree of the place graph and k the maximum arity of a bigraph’s signature. We provide proof of the correctness of our method and also conduct experimental measurements to assess the complexity.

A New Algorithm for Unique Representation and Isomorphism Detection of Planar Kinematic Chains with Simple and Multiple Joints

In this work, a new algorithm is proposed for a unique representation for simple and multiple joint planar kinematic chains (KCs) having any degree of freedom (DOF). This unique representation of KCs enhances the isomorphism detection during the structural synthesis process of KCs. First, a new concept of joint degree is generated for all joints of a given KC based on joint configuration. Then, a unified loop array (ULA) is obtained for each independent loop. Finally, a unified chain matrix (UCM) is established as a unique representation for a KC. Three examples are presented to illustrate the proposed algorithm procedures and to test its validity. The algorithm is applied to get a UCM for planar KCs having 7–10 links. As a result, a complete atlas database is introduced for 7–10-link non-isomorphic KCs with simple or/and multiple joints and their corresponding unified chain matrix.

SOME REPESENTATIVE FOLK ART OF INDIA

Indian folk art has its own recognition in universal context. It transmits from generation to generation having their own experience. Religious ceremonies and ritual acts are necessary for achieving psychological refinement. The folk culture moves around the elements of nature. The shapes are often symbolic and come out from their observations in simple pictorial language. The ritual paintings are generally created on wall, paper, cloth, and floor. The figures of human beings, animal, along with the daily life scene, mythological and rituals are created in rhythmic pattern with regional essence. Folk peoples express themselves in vivid styles through the paintings, this was the only means of transmission and inculcation of the culture through folk lore to a populace those who are not familiar with the written word. The traditions of folk culture are surviving in Odissa, Bengal, Andhra Pradesh, Maharashtra and Kerala are the unique representation of the region. Yet the changes with the time are noticed but characteristically folk art is not influenced by the time of change in academic or fine art circles and movements of Era.

Comparison of the holiday tourism constraints of mono- and bicultural people

Purpose This study aims to investigate whether the three-dimensional leisure constraints model which is adapted to holiday tourism shows the same structure for mono- and bicultural people and perceptions of these groups differ from each other. Design/methodology/approach Separate surveys are conducted on Turkish people who are resident in Turkey, representing the mono-cultural structure, and Turkish people who live in Germany, representing the bicultural structure. The model is tested by factor analysis for each group, whereas perception differences on holiday tourism constraints are compared with t-tests. Findings The analysis results showed that the factorial structure of the leisure constraints model is not the same in the holiday tourism context. Hence, new constraints dimensions were obtained in each case. A comparison of the holiday tourism constraints also showed that the perceptions of the mono- and bicultural people were significantly different from each other. Originality/value The current study has contributions to the literature in terms of examining the holiday tourism constraints by using the adapted version of the leisure constraints model. Moreover, targeting Turkish people who live in Turkey and Germany, as the study samples, indicates a unique representation of mono- and bicultural structures.