Volumetric Representation and Manipulation of Geometric Models

2001 ◽  
Author(s):  
Greg Turk ◽  
F. S. Nooruddin ◽  
James F. O'Brien ◽  
Gary Yngve
2019 ◽  
pp. 40-47
Author(s):  
E. A. Mironchik

The article discusses the method of solving the task 18 on the Unified State Examination in Informatics (Russian EGE). The main idea of the method is to write the conditions of the problem utilizing the language of formal logic, using elementary predicates. According to the laws of logic the resulting complex logical expression would be transformed into an expression, according to which a geometric model is supposed to be constructed which allows to obtain an answer. The described algorithm does allow high complexity problem to be converted into a simple one.


Author(s):  
Nina Maksimchuk

The attention of modern linguistics to the study of verbal representatives of the mental essence (both individual and collective one) of the native speakers involves an appeal to all subsystems of the national language where territorial dialects take a significant part. The analysis of dialect linguistic units possessing linguistic and cultural value is considered as a necessary way for the study of people’s worldview and perception of the world, national mentality as a whole. The ability of stable phrases (phraseological units) to preserve and express a native speaker’s attitude to the world around them is the basis for the use of the analysis of folk phraseology as a way of penetration into a speaker’s spiritual world. Volumetric representation of the external and internal peculiarities of stable phrases allows the author to get their systematization in the form of phraseosemantic field consisting of different kinds singled out in phraseosemantic groups. The article deals with stable phrases of synonymic value recorded in the Dictionary of Smolensk dialects and stable phrases forming a phraseosemantic group. These phrases are analyzed taking into account the semantic structure of the key word, the characteristics of the dependent word, and the method of forming phraseological semantics. On the example of the analysis of phrases with the key word «bit’» and a synonymic series with the semantic dominant «bezdel’nichat’», the article discusses the peculiarities of phraseological nomination in Smolensk dialects and confirms a high level of connotativity and evaluation in the folk phraseology.


Author(s):  
Michael Atiyah ◽  
Matilde Marcolli

Abstract This paper, completed in its present form by the second author after the first author passed away in 2019, describes an intended continuation of the previous joint work on anyons in geometric models of matter. This part outlines a construction of anyon tensor networks based on four-dimensional orbifold geometries and braid representations associated with surface-braids defined by multisections of the orbifold normal bundle of the surface of orbifold points.


2016 ◽  
Vol 30 (1-2) ◽  
pp. 119-127 ◽  
Author(s):  
Iván Ramos-Diez ◽  
Joaquín Navarro-Hevia ◽  
Roberto San Martín Fernández ◽  
Virginia Díaz-Gutiérrez ◽  
Jorge Mongil-Manso

2016 ◽  
Vol 693 ◽  
pp. 1684-1692 ◽  
Author(s):  
Hong Lei Zhang ◽  
Wen He Liao ◽  
Yu Guo ◽  
Wen An Yang

Faced with the problem of generation for 3D machining process model, an approach to generate three dimensional machining process model according to information from design model based on definition is proposed. Compared with the existing methods, the approach utilizes multiple information of design model based on definition and takes many phases into consideration of 3D process model generation. The structure of 3D machining process model is defined and the course of 3D process model generation is researched, including multiple information acquirement, generation of procedure geometric models and annotation. Finally, the framework of system and application for 3D machining process model generation are presented for validation purposes.


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