The diagram lattice as structural principle in mathematics

2008 ◽  
pp. 53-71 ◽  
Author(s):  
Adalbert Kerber
Keyword(s):  
Structural Principle

Beckett's Broken Circle: A Literary Fractal

2020 ◽  
Vol 29 (2) ◽  
pp. 196-215
Author(s):  
Luke Connolly
Keyword(s):  
Dynamic Chaos ◽  
Geometric Form ◽  
Self Similarity ◽  
Collision Point ◽  
Stable Order ◽  
Structural Principle ◽  
Recent Interest ◽  
Viable Solution ◽  
Specific Shape

This essay proposes that the picture of a broken circle encountered by Watt during the second part of his tale marks a crucial collision point between Beckett's literary and mathematical interests and triggers a process of fractal scaling self-similarity. Building on recent interest concerning the role of the mathematics and mathematical forms found in Beckett's work, I argue that the broken circle depicted in the picture from Watt is a geometric form which (re)appears within at least three interlocking scales throughout Beckett's novel-length prose: (i) its moment of arrival in the picture from Watt, (ii) a macroscopic reinscription in the names of the protagonists populating the five novels spanning Watt through to The Unnamable and (iii) buried within the narratological depths of How It Is. As a structural principle, the interminable irregularity of fractals offered Beckett a viable solution for what he considered the defining task of the modern artist: ‘to find a form to accommodate the mess’. Moreover, the specific shape selected for his fractal is shown to contain within its geometry one of Beckett's most universal and pressing concerns: the inevitable insufficiency of language. Therefore, although this essay restricts itself to examining Beckett's novel-length prose, the idea of a broken circle fractal promises to provide a valuable heuristic through which to reassess the author's other generic avenues. Fractals thus offer a means through which one can bind together the length and breadth of Beckett's oeuvre without ever reducing dynamic chaos to stable order.

ZUR SUBMIKROSKOPISCHEN STRUKTUR DER RATTENSCHILDDRÜSE ELEKTRONENMIKROSKOPISCHE UNTERSUCHUNGEN AN DER BASIS DES SCHILDDRÜSENFOLLIKELS

1960 ◽  
Vol XXXV (III) ◽  
pp. 334-350 ◽  
Author(s):  
U. Waller
Keyword(s):  
Endothelial Cells ◽  
Basement Membranes ◽  
The Other ◽  
Small Vesicle ◽  
Thyroid Follicle ◽  
Basal Secretion ◽  
Structural Principle ◽  
Thyroid Epithelial Cell ◽  
Endocrine Organs ◽  
Subendothelial Space

ABSTRACT This is a description of ultramicroscopic structures at the base of the thyroid follicle. The structural principle of the subendothelial or interfollicular space, namely basement membranes closely following both the endothelial cells of the capillaries and the epithelial cells of the thyroid, corresponds to that described by other authors in the other endocrine organs. Especially shown are small vesicle like decreases of intensity in the subendothelial space, causing bulges in both the subepithelial basement membrane and the membrane covering the endothelial cell pores thereby forming pseudopores. This membrane is in several parts a double one. The possible role played by the above mentioned structures in the basal secretion of the thyroid epithelial cell is discussed.

NEWEST TECTONICS OF THE VISTULA SPIT AREA

2017 ◽  
Author(s):  
Nikolay Dunaev ◽  
Nikolay Dunaev ◽  
Nadezhda Politova ◽  
Nadezhda Politova
Keyword(s):  
Baltic Sea ◽  
Coastal Zones ◽  
Structural Principle ◽  
Modern Landscape ◽  
Tectonic Pattern

The interests of forecasting of the area’s development simulate to take more attention to the study of its newest tectonics. The most informative tectonic pattern for the studies of coastal zones is neotectonic one, based on the structural principle, which shows the newly formed and inherited dislocations, reflected in the modern landscape and exodynamics of the earth's surface. The question of the manifestations of newest tectonics by way on the example of the Vistula Spit (Baltic Sea) is discussed.

Non-Contact Online Detection of Concentricity Error

2015 ◽  
Vol 733 ◽  
pp. 611-614
Author(s):  
Hong Zheng
Keyword(s):  
Measurement System ◽  
Three Dimensional ◽  
Error Evaluation ◽  
Dimensional Model ◽  
Online Detection ◽  
Three Dimensional Model ◽  
Geometric Tolerance ◽  
Structural Principle ◽  
Circularity Error ◽  
Cylindricity Error

This paper researches on the non-contact online detection of concentricity error, which mainly focus on the structural principle of the measurement system and the concentricity error evaluation methods. The paper using the method of projection, converting the three-dimensional model to a two-dimensional model and evaluating coaxially error. And it is validated by the simulation of MATLAB. In theory, the proposed measurement system can measure geometric tolerance, including coaxially error, cylindricity error, circularity error, etc.

Multistage Organic Redox Systems—A General Structural Principle

1978 ◽  
Vol 17 (12) ◽  
pp. 875-886 ◽  
Author(s):  
Klaus Deuchert ◽  
Siegfried Hünig
Keyword(s):  
Redox Systems ◽  
Structural Principle

scholarly journals A Class of Non-Kekulé Molecules with Low Excitation Energies

2007 ◽  
Vol 62 (11) ◽  
pp. 1433-1436
Author(s):  
Fritz Dietz ◽  
Nedko Drebov ◽  
Nikolai Tyutyulkov
Keyword(s):  
Molecular Orbital ◽  
Ground State ◽  
Excitation Energies ◽  
Triplet Ground State ◽  
Molecular Systems ◽  
Structural Principle

A class of non-Kekulé molecular systems with a new structural principle and low excitation energies or with a triplet ground state was investigated theoretically. The systems consist of a non-Kekulé monoradical, possessing a non-bonding molecular orbital linked in a specific way to another monoradical.

Hunting Epiphany-Hunters

PMLA ◽  
1972 ◽  
Vol 87 (2) ◽  
pp. 304-306 ◽  
Author(s):  
Sidney Feshbach
Keyword(s):  
Structural Principle

Robert Scholes's view that Joyce was primarily interested in constructing a genre composed of epiphanies as texts, and not equally interested in the epiphany as a process of esthetic apprehension or in the possible use of the epiphany as a structural principle, is disputed in these comments. This argument seeks to establish briefly that Joyce held the epiphany—process and text—as essentially integrated and inseparable. The comments are a response to Robert Scholes's correspondence with Florence Walzl (PMLA, March 1967).

Race and/or Ethnicity in Hawai‘i

2018 ◽  
Author(s):  
Jonathan Y. Okamura
Keyword(s):  
United States ◽  
Social Construction ◽  
Social Relations ◽  
Race And Ethnicity ◽  
Census Data ◽  
Ethnic Inequality ◽  
Racial Categories ◽  
Structural Principle ◽  
The Social ◽  
Historical Transition

This chapter argues that ethnicity is the dominant organizing principle of social relations in Hawai‘i since the 1970s when it superseded race. This contention is based on the social construction of Hawaii’s constituent groups as ethnic groups rather than races, on the consequent lesser construction and assertion of racial categories and identities commonly invoked in the continental United States, and on the ongoing regulation of differential access to socioeconomic status by ethnicity and not race (or class). The chapter first discusses the conceptual difference between race and ethnicity, outlines the historical transition from race to ethnicity as the foremost structural principle of island society, reviews persisting ethnic inequality evident from 2010 U.S. Census data, and analyzes the racial dimensions of the shooting death in 2011 of a young Native Hawaiian by a U.S. State Department agent in Waikīkī. The argument that ethnicity is more significant than race as the primary principle of social organization in contemporary Hawai‘i is consistent with multiculturalism being the dominant ideology related to race and ethnicity in the islands rather than colorblindness as in the continental United States.

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