New Look at Kirchhoff's Theory of Plates

KIRCHHOFF’S theory [1] and the first-order shear deformation theory (FSDT) [2] of plates in bending are simple theories and continuously used to obtain design information. Within the classical small deformation theory of elasticity, the problem consists of determining three displacements, u, v, and w, that satisfy three equilibrium equations in the interior of the plate and three specified surface conditions. FSDT is a sixth-order theory with a provision to satisfy three edge conditions and maintains, unlike in Kirchhoff’s theory, independent linear thicknesswise distribution of tangential displacement even if the lateral deflection, w, is zero along a supported edge. However, each of the in-plane distributions of the transverse shear stresses that are of a lower order is expressed as a sum of higher-order displacement terms. Kirchhoff’s assumption of zero transverse shear strains is, however, not a limitation of the theory as a first approximation to the exact 3-D solution.

An algebraic theory of functional and multivalued dependencies in relational databases

Computation of the dependency basis is the fundamental step in solving the membership problem for functional dependencies (FDs) and multivalued dependencies (MVDs) in relational database theory. We examine this problem from an algebraic perspective. We introduce the notion of the inference basis of a set M of MVDs and show that it contains the maximum information about the logical consequences of M. We propose the notion of a dependency-lattice and develop an algebraic characterization of inference basis using simple notions from lattice theory. We also establish several interesting properties of dependency-lattices related to the implication problem. Founded on our characterization, we synthesize efficient algorithms for (a): computing the inference basis of a given set M of MVDs; (b): computing the dependency basis of a given attribute set w.r.t. M; and (c): solving the membership problem for MVDs. We also show that our results naturally extend to incorporate FDs also in a way that enables the solution of the membership problem for both FDs and MVDs put together. We finally show that our algorithms are more efficient than existing ones, when used to solve what we term the ‘generalized membership problem’.

Hydrodynamic Pressure on a Dam During Earthquakes

A straightforward analysis involving Fourier cosine transforms and the theory of Fourier seies is presented for the approximate calculation of the hydrodynamic pressure exerted on the vertical upstream face of a dam due to constant earthquake ground acceleration. The analysis uses the “Parseval relation” on the Fourier coefficients of square integrable functions, and directly brings out the mathematical nature of the approximate theory involved.

Atheroma: Is calcium important or not? A modelling study of stress within the atheromatous fibrous cap in relation to position and size of calcium deposits

Atheromatous plaque rupture h the cause of the majority of strokes and heart attacks in the developed world. The role of calcium deposits and their contribution to plaque vulnerability are controversial. Some studies have suggested that calcified plaque tends to be more stable whereas others have suggested the opposite. This study uses a finite element model to evaluate the effect of calcium deposits on the stress within the fibrous cap by varying their location and size. Plaque fibrous cap, lipid pool and calcification were modeled as hyperelastic, Isotropic, (nearly) incompressible materials with different properties for large deformation analysis by assigning time-dependent pressure loading on the lumen wall. The stress and strain contours were illustrated for each condition for comparison. Von Mises stress only increases up to 1.5% when varying the location of calcification in the lipid pool distant to the fibrous cap. Calcification in the fibrous cap leads to a 43% increase of Von Mises stress when compared with that in the lipid pool. An increase of 100% of calcification area leads to a 15% stress increase in the fibrous cap. Calcification in the lipid pool does not increase fibrous cap stress when it is distant to the fibrous cap, whilst large areas of calcification close to or in the fibrous cap may lead to a high stress concentration within the fibrous cap, which may cause plaque rupture. This study highlights the application of a computational model on a simulation of clinical problems, and it may provide insights into the mechanism of plaque rupture.

Grain boundary strengthening in strongly textured magnesium produced by hot rolling

The grain size dependence of the yield stress in hot rolled 99.87 pct magnesium sheets and rods was measured in the temperature range 77 K to 420 K. Hot rolling produced strong basal textures and, for a given grain size, the hot rolled material has a higher strength than extruded material. The yield strength-grain size relation in the above temperature range follows the Hall-Petch equation, and the temperature dependencies of the Hall-Petch constants σ0 and k are in support of the theory of Armstrong for hcp metals that the intercept σ0 is related to the critical resolved shear stress (CRSS) for basal slip (easy slip) and the slope k is related to the CRSS for prismatic slip (difficult slip) occurring near the grain boundaries. In the hot rolled magnesium, σ0 is larger and k is smaller than in extruded material, observations which are shown to result from strong unfavorable basal and favorable 1010 textures, respectively. Texture affects the Hall-Petch constants through its effect on the orientation factors relating them to the CRSS for the individual slip systems controlling them.

The relation between polarisation and electric field for trissarcosine calcium chloride

Measurement of the relation between polarisation and electric field for ferroelectric trissarcosine calcium chloride (TSCC) was made in the pressure range up to 6 kbar. The pressure dependence of the spontaneous polarisation and the coercive field were obtained, and the existence of a new pressure-induced phase and the paraelectric- ferroelectric-new phase triple point were found.

Information theory and one-dimensional disordered conductors

A novel method is proposed to treat the problem of the random resistance of a strictly one-dimensional conductor with static disorder. It is suggested, for the probability distribution of the transfer matrix of the conductor, the distribution of maximum information-entropy, constrained by the following physical requirements: 1) flux conservation, 2) time-reversal invariance and 3) scaling, with the length of the conductor, of the two lowest cumulants of ζ, where = sh2ζ. The preliminary results discussed in the text are in qualitative agreement with those obtained by sophisticated microscopic theories.

On the shear deformation theory for dynamic analysis of beams

Timoshenko's shear deformation theory is widely used for the dynamical analysis of shear-flexible beams. This paper presents a comparative study of the shear deformation theory with a higher order model, of which Timoshenko's shear deformation model is a special case. Results indicate that while Timoshenko's shear deformation theory gives reasonably accurate information regarding the set of bending natural frequencies, there are considerable discrepancies in the information it gives regarding the mode shapes and dynamic response, and so there is a need to consider higher order models for the dynamical analysis of flexure of beams.

Paraxial-wave optics and relativistic front description .1. The scalar theory

With the extension of the work of the preceding paper, the relativistic front form for Maxwell's equations for electromagnetism is developed and shown to be particularly suited to the description of paraxial waves. The generators of the Poincaré group in a form applicable directly to the electric and magnetic field vectors are derived. It is shown that the effect of a thin lens on a paraxial electromagnetic wave is given by a six-dimensional transformation matrix, constructed out of certain special generators of the Poincaré group. The method of construction guarantees that the free propagation of such waves as well as their transmission through ideal optical systems can be described in terms of the metaplectic group, exactly as found for scalar waves by Bacry and Cadilhac. An alternative formulation in terms of a vector potential is also constructed. It is chosen in a gauge suggested by the front form and by the requirement that the lens transformation matrix act locally in space. Pencils of light with accompanying polarization are defined for statistical states in terms of the two-point correlation function of the vector potential. Their propagation and transmission through lenses are briefly considered in the paraxial limit. This paper extends Fourier optics and completes it by formulating it for the Maxwell field. We stress that the derivations depend explicitly on the "henochromatic" idealization as well as the identification of the ideal lens with a quadratic phase shift and are heuristic to this extent.

Gauge theory of a group of diffeomorphisms. II. The conformal and de Sitter groups

The extension of Hehl's Poincaré gauge theory to more general groups that include space-time diffeomorphisms is worked out for two particular examples, one corresponding to the action of the conformal group on Minkowski space, and the other to the action of the de Sitter group on de Sitter space, and the effect of these groups on physical fields.

An extension of the continual reassessment method using decision theory

The primary goal of a phase I trial is to find the maximally tolerated dose (MTD) of a treatment. The MTD is usually defined in terms of a tolerable probability, q*, of toxicity. Our objective is to find the highest dose with toxicity risk that does not exceed q*, a criterion that is often desired in designing phase I trials. This criterion differs from that of finding the dose with toxicity risk closest to q*, that is used in methods such as the continual reassessment method. We use the theory of decision processes to find optimal sequential designs that maximize the expected number of patients within the trial allocated to the highest dose with toxicity not exceeding q*, among the doses under consideration. The proposed method is very general in the sense that criteria other than the one considered here can be optimized and that optimal dose assignment can be defined in terms of patients within or outside the trial. It includes as an important special case the continual reassessment method. Numerical study indicates the strategy compares favourably with other phase I designs.

Contributions to the Theory of Finite-State Based Grammars

This dissertation is a theoretical study of finite-state based grammars used in natural language processing. The study is concerned with certain varieties of finite-state intersection grammars (FSIG) whose parsers define regular relations between surface strings and annotated surface strings. The study focuses on the following three aspects of FSIGs: (i) Computational complexity of grammars under limiting parameters In the study, the computational complexity in practical natural language processing is approached through performance-motivated parameters on structural complexity. Each parameter splits some grammars in the Chomsky hierarchy into an infinite set of subset approximations. When the approximations are regular, they seem to fall into the logarithmic-time hierarchyand the dot-depth hierarchy of star-free regular languages. This theoretical result is important and possibly relevant to grammar induction. (ii) Linguistically applicable structural representations Related to the linguistically applicable representations of syntactic entities, the study contains new bracketing schemes that cope with dependency links, left- and right branching, crossing dependencies and spurious ambiguity. New grammar representations that resemble the Chomsky-Schützenberger representation of context-free languages are presented in the study, and they include, in particular, representations for mildly context-sensitive non-projective dependency grammars whose performance-motivated approximations are linear time parseable. (iii) Compilation and simplification of linguistic constraints Efficient compilation methods for certain regular operations such as generalized restriction are presented. These include an elegant algorithm that has already been adopted as the approach in a proprietary finite-state tool. In addition to the compilation methods, an approach to on-the-fly simplifications of finite-state representations for parse forests is sketched. These findings are tightly coupled with each other under the theme of locality. I argue that the findings help us to develop better, linguistically oriented formalisms for finite-state parsing and to develop more efficient parsers for natural language processing. Avainsanat: syntactic parsing, finite-state automata, dependency grammar, first-order logic, linguistic performance, star-free regular approximations, mildly context-sensitive grammars

Zur Sättigung der Valenz in den Kleinen Meldungen des Typus Notiz : Eine pragmatisch fundierte Analyse

Valency Realization in Short Excerpts of News Text. A Pragmatics-funded analysis This dissertation is a study of the so-called pragmatic valency. The aim of the study is to examine the phenomenon both theoretically by discussing the research literature and empirically based on evidence from a text corpus consisting of 218 short excerpts of news text from the German newspaper Frankfurter Allgemeine Zeitung. In the theoretical part of the study, the central concepts of the valency and the pragmatic valency are discussed. In the research literature, the valency denotes the relation among the verb and its obligatory and optional complements. The pragmatic valency can be defined as modification of the so-called system valency in the parole, including non-realization of an obligatory complement, non- realization of an optional complement and realization of an optional complement. Furthermore, the investigation of the pragmatic valency includes the role of the adjuncts, elements that are not defined by the valency, in the concrete valency realization. The corpus study investigates the valency behaviour of German verbs in a corpus of about 1500 sentences combining the methodology and concepts of valency theory, semantics and text linguistics. The analysis is focused on the about 600 sentences which show deviations from the system valency, providing over 800 examples for the modification of the system valency as codified in the (valency) dictionaries. The study attempts to answer the following primary question: Why is the system valency modified in the parole? To answer the question, the concept of modification types is entered. The modification types are recognized using distinctive feature bundles in which each feature with a negative or a positive value refers to one reason for the modification treated in the research literature. For example, the features of irrelevance and relevance, focus, world and text type knowledge, text theme, theme-rheme structure and cohesive chains are applied. The valency approach appears in a new light when explored through corpus-based investigation; both the optionality of complements and the distinction between complements and adjuncts as defined in the present valency approach seem in some respects defective. Furthermore, the analysis indicates that the adjuncts outside the valency domain play a central role in the concrete realization of the valency. Finally, the study suggests a definition of pragmatic valency, based on the modification types introduced in the study and tested in the corpus analysis.

Imazhinist Mariengof : Dendi. Montazh. Ciniki.

The study is dedicated to the Russian poet and prose writer Anatolii Borisovich Mariengof (1897–1962). Mariengof – “the last dandy of the Republic” – was one of the leaders and main theoreticians in the poetic group of the Russian Imaginists. For his contemporaries, he was an Imaginist par excellence. His Imaginist principles – in theory and practice – are applied to the study of his first fictional novel, Cynics (1928), which served as an epilogue for his Imaginist period (1918–1928). The novel was not published in the Soviet Union until 1988. The method used in the study is a conceptual and literary historical reading, making use of the contemporary semiotic understanding of cultural mechanisms and of intertextual analysis. There are three main concepts used throughout the study: dandy, montage and catachresis. In the first chapter, the history, practice and theory of the Russian Imaginism are analyzed from the point of view of dandyism. The Imaginist theatricalisation of life is juxtaposed with the thematic analysis of their poetry, and Imaginist dandyism appears as a catachrestic category in culture. The second chapter examines the Imaginist poetic theory. It is discussed in the context of the montage principle, defining the post-revolutionary culture in Soviet Russia. The Imaginist montage can be divided into three main theoretical paradigms: S. Yesenin’s “technical montage” (reminiscent of Dadaist collage), V. Shershenevich’s “nominative montage” (catalogues of images) and Anatolii Mariengof’s “catachrestic montage”. The final chapter deals with Mariengof’s first fictional novel, Cynics. The study begins with the complex history of publication of the novel, as well as its relation to the Imaginist poetic principles and to the history of the poetic movement. Cynics is, essentially, an Imaginist montage novel. The fragmentary play of the fictional and the documentary material follows the Imaginist montage principle. The chapter concludes in a thematic analysis of the novel, concentrating on the description of the October Revolution in Cynics.

Measuring attitudes in translation: a study of Nokia business reports

Background Contemporary Finnish, spoken and written, reveals loanwords or foreignisms in the form of hybrids: a mixture of Finnish and foreign syllables (alumiinivalua). Sometimes loanwords are inserted into the Finnish sentence in their raw form just as they are found in the source language (pulp, after sales palvelu). Again, sometimes loanwords are calques, which appear Finnish but are spelled and pronounced in an altogether foreign manner (Protomanageri, Promenadi kampuksella). Research Questions What role does Finnish business translation play in the migration of foreignisms into Finnish if we consider translation "as a construct of solutions determined by the ideological constraints and conflicts characterizing the target culture" (Robyns 1992: 212)? What attitudes do the Finns display toward the presence of foreignisms in their language? What socio-economic or ideological conditions (Bassnett 1994: 321) are responsible for these attitudes? Are these conditions dynamic? What tools can be used to measure such attitudes? This dissertation set out to answer these and similar questions. Attitudes are imperialist (where otherness is both denied and transformed), defensive (where otherness is acknowledged, transformed, and vilified), transdiscursive (a neutral attitude to both otherness and transformation), or finally defective (where alien migration is acknowledged and "stimulated") (Robyns 1994: 60). Methodology The research method follows Rose's schema (1984: 8): (a) take an existing theory, (b) develop from it a proposition specific enough to be tested, (c) devise a scheme that tests this proposition, (d) carry through the scheme in practice, (e) draw up results and discuss conclusions in relation to the original theory. In other words, the method attempts an explanation of a Finnish social phenomenon based on systematic analyses of translated evidence (Lewins 1992: 4) whereby what really matters is the logical sequence that connects the empirical data to the initial research questions raised above and, ultimately to its conclusion (Yin 1984: 29). Results This research found that Finnish translators of the Nokia annual reports used a foreignism whenever possible such as komponentin instead of rakenneosa, or investoida instead of sijoittaa, and often without any apparent justification (Pryce 2003: 203-12) more than the translator's personal preference. In the old documents (minutes of meetings of the Board of Directors of Osakeyhtio H. Saastamoinen, Ltd. dated 5 July 1912-1917, a NOPSA booklet (1932), Enzo-Gutzeit-Tornator Oy document (1938), Imatra Steel Oy Annual Report 1964, and Nokia Oy Annual Report 1946), foreignisms under Haugen's (1950: 210-31) Classification #1 occurred an average of 0.6 times, while in the new documents (Nokia 1998 translated Annual Reports) they occurred an average of 6.5 times. That big difference, suggests transdiscursive and defective attitudes in Finnish society toward the other. In the 1850s, Finnish attitudes toward alien persons and cultures were hardened, intolerant and prohibitive because language politics were both nascent and emerging, and Finns adopted a defensive stance (Paloposki 2002: 102 ff) to protect their cultural and national treasures such as language and folklore. Innovation The innovation here is that no prior doctoral level research measured Finnish attitudes toward foreignisms using a business translation approach. This is the first time that Haugen's classification has been modified and applied in target language analysis. It is hoped that this method would be replicated in similar research in the future. Applications For practical applications, researchers with interest in languages, language development, language influences, language ideologies, and power structures that affect national language policies will find this thesis useful, especially the model for collecting, grouping, and analyzing foreignisms that has been demonstrated here. It is intended to document for posterity current attitudes of Finns toward the other as revealed in business translations from 1912-1964, and in 1998. This way, future language researchers would be able to explore a time-line of Finnish language development and attitudes toward the other. Communication firms may also find this research interesting. In future, could the model we adopted be used to analyze literary texts or religious texts for example? Future Trends Though business documents show transdiscursive attitudes, other segments of Finnish society may show defensive or imperialist attitudes. When the ideology of industrialization changes in the future, will Finnish attitudes toward the other change as well? Will it then be possible to use the same kind of analytical tools to measure Finnish attitudes? More broadly, will linguistic change continue in the same direction of transdiscursive attitudes, or will the change slow down or even reverse into xenophobic attitudes? Is this our model culture-specific or can it be used in the context of other cultures? Conclusion There is anger against foreignisms in Finland as newspaper publications and television broadcasts show, but research shows that a majority of Finns consider foreignisms and the languages from which they come as sources of enrichment for Finnish culture (Laitinen 2000, Eurobarometer series 41 of July 1994, 44 of Spring 1996, 50 of Autumn 1998). Ideologies of industrialization and globalization in Finland have facilitated transdiscursive tendencies. When Finland's political ideology was intolerant toward foreign influences in the 1850s because Finland was in the process of consolidating her nascent country and language, attitudes toward the importation of loanwords also became intolerant. Presently, when industrialization and globalization became the dominant ideologies, we see a shift in attitudes toward transdiscursive tendencies. Ideology is usually unseen and too often ignored by translation researchers. However, ideology reveals itself as the most powerful factor affecting language attitudes in a target culture. Key words Finnish, Business Translation, Ideology, Foreignisms, Imperialist Attitudes, Defensive Attitudes, Transdiscursive Attitudes, Defective Attitudes, the Other, Old Documents, New Documents.