Part One. The Core Theory and Its Foundations

Keyword(s):  
The Core ◽  
1999 ◽  
Author(s):  
R. F. Li ◽  
Y. Frostig ◽  
G. A. Kardomateas

Abstract Delaminations within the face sheets are often observed when a sandwich structure is exposed to impact loads. The buckling and postbuckling behavior of sandwich beams with delaminated faces is investigated in this work. The governing nonlinear equations, boundary conditions, and continuity conditions are formulated through variational principles. The beam construction consists of upper and lower, metallic or composite laminated symmetric skins, and a soft core of a foam or low strength honeycomb type. A high order theory is used for the core that accounts for the nonlinear distortion of the plane of section of the core and the compressibility in the vertical direction. The delamination considered is an interface crack, in which the substrate includes the transversely flexible core. The case of a debond at one of the skin-core interfaces is also included. The effects of the delamination length and location on the overall and local behavior are examined with an arbitrary initial imperfection.


Author(s):  
David Huron

A brief review is provided of sixteen core traditional rules of voice leading as formulated in the late Baroque period. These rules are typically taught as part of the core theory curriculum in conservatories and schools of music.


Author(s):  
Georges Rey

The book is divided into three parts1. Part I provides a somewhat novel exposition and defense of what I regard as the core ideas of a Chomskyan linguistic theory; Part II, a discussion of some of the core philosophical claims that surround it; and Part III, a more contentious discussion of the ultimate problem that concerns me: whether and how the core theory is committed to a philosophically troublesome notion of intentionality that is associated with the near ubiquitous term “representation.” The last chapter will conclude with a brief critical discussion of a few further philosophical views that Chomsky has expressed regarding the mind–body problem, which many might—mistakenly—take to be essential to his theory....


2011 ◽  
Vol 255-260 ◽  
pp. 1383-1387
Author(s):  
Bing Xu

Based on the key problems of historical areas revitalization and the core theory of Space Syntax, this paper probes into the application of Space Syntax to quantify the space configuration in the conservation and regeneration of historical areas. According to the design process, an ideal framework which includes historical literature research, present situation analysis and optional scheme evaluation is put forward.


2020 ◽  
Vol 175 (1-4) ◽  
pp. 301-325
Author(s):  
P. S. Thiagarajan ◽  
Shaofa Yang

We present the theory of distributed Markov chains (DMCs). A DMC consists of a collection of communicating probabilistic agents in which the synchronizations determine the probability distribution for the next moves of the participating agents. The key feature of a DMC is that the synchronizations are deterministic, in the sense that any two simultaneously enabled synchronizations involve disjoint sets of agents. Using our theory of DMCs we show how one can analyze the behavior using the interleaved semantics of the model. A key point is, the transition system which defines the interleaved semantics is—except in degenerate cases—not a Markov chain. Hence one must develop new techniques to analyze these behaviors exhibiting both concurrency and stochasticity. After establishing the core theory we develop a statistical model checking procedure which verifies the dynamical properties of the trajectories generated by the the model. The specifications consist of Boolean combinations of component-wise bounded linear time temporal logic formulas. We also provide a probabilistic Petri net representation of DMCs and use it to derive a probabilistic event structure semantics.


Author(s):  
David G. Attfield
Keyword(s):  
The Core ◽  

2013 ◽  
Vol 481 ◽  
pp. 268-271
Author(s):  
Xia Yang

ive Design Xia Yang Luzhou Vocational and Technical College, Luzhou, Sichuan, 646005, China [email protected] Keywords: Machinery; Abstraction; Design; Core Theory; Analysis. Abstract. The theory of mechanical abstractive design is the newest mechanical design concept at present. Lots of software achieve a certain degree of intelligence with the development of computer technology. And the processing efficiency is improved to a great deal through intelligent processing. Many suggestions for reference can be proposed during the processing. The study is based on the concept and characteristics of mechanical design. And the core theory of mechanical abstractive design, such as intelligence, automatic modeling and relative abstraction, was analyzed combined with the implication of abstractive design. Thus, a certain degree of reference is hopefully provided for the pragmatic design work.


1979 ◽  
Vol 82 ◽  
pp. 301-306
Author(s):  
S.K. Runcorn

The data on the irregular fluctuations in the length of the day and the motion of the pole is of great significance in the geophysicist's task of constructing a model of the earth's interior.Short term instabilities in the dynamo generating the earth's magnetic field produce what is observed at the surface as the secular variation. These changes induce currents in the lower mantle and the resulting torques appear to be the cause of the irregular fluctuations in the length of the day, although some quantitative problems remain.The excitation of the Chandler wobble could result from impulsive torques applied to the mantle by very short period (a year or less) local magnetic field disturbances coming to the surface of the core. The alternative mechanism by earthquakes has been much investigated and the possibility of this is still obscure. A test however is available in the polar motion data: a disturbance in its path displaces the subsequent centre of its Chandler motion in the latter theory, but only its amplitude on the former theory. The behaviour of the pole around 1968 supports the core theory, but much more analysis of the polar motion is required.


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