finite theory
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Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1228
Author(s):  
Heng Zhang ◽  
Chao Su ◽  
Jiawei Bai ◽  
Rongyao Yuan ◽  
Yujun Ma ◽  
...  

In soft soil engineering projects, the building loads are always required to be symmetrically distributed on the surface of the foundation to prevent uneven settlement. Even if the buildings and soft clay are controlled by engineers, it can still lead to the rheology of the foundation. The analytical solution based on the Laplace integral transformation method has positive significance for providing a simple and highly efficient way to solve engineering problems, especially in the long-term uneven settlement deformation prediction of buildings on soft soil foundations. This paper proposes an analytical solution to analyze the deformation of soft soil foundations. The methodology is based on calculus theory, Laplace integral transformation, and viscoelastic theory. It combines an analytical solution with finite theory to solve the construction sequences and loading processes. In addition, an improved quantum genetic algorithm is put forward to inverse the parameters of soft soil foundations. The analytical solution based on Laplace integral transformation is validated through an engineering case. The results clearly illustrate the accuracy of the method.


2020 ◽  
pp. 193-214
Author(s):  
Dean Rickles

This chapter focuses on the central motivation for much of what can be labeled ‘quantum gravity’ in the earliest phases of research, namely that it provides a potentially abundant resource for curing problems in quantum field theory. While it was rare to have fully worked out examples along these lines, it provided a much needed impetus to the study of quantum gravity at a time when there were few other reasons to bother with it. The primary problem was the ubiquitous divergences, which proved extremely stubborn and worrying to field theorists. Not all of the approaches were looked at involved gravitation directly, however, and focused more on ways of generating a discrete structure (with a minimal length or maximum energy) that would provide a physical cutoff, thus grounding a finite theory. These filtered through into gravitational research only later than our timeframe, in a variety of ways, including the small scales necessarily reached in gravitational collapse.


2019 ◽  
Vol 64 (11) ◽  
pp. 991 ◽  
Author(s):  
S. Mignemi

We review the main features of the relativistic Snyder model and its generalizations. We discuss the quantum field theory on this background using the standard formalism of noncommutative QFT and discuss the possibility of obtaining a finite theory.


Author(s):  
Mark Richard

A language is compositional if the meaning of each of its complex expressions (for example, ‘black dog’) is determined entirely by the meanings its parts (‘black’, ‘dog’) and its syntax. Principles of compositionality provide precise statements of this idea. A compositional semantics for a language is a (finite) theory which explains how semantically important properties such as truth-conditions are determined by the meanings of parts and syntax. Supposing English to have a compositional semantics helps explain how finite creatures like ourselves have the ability to understand English’s infinitely many sentences. Whether human languages are in fact compositional, however, is quite controversial.


2012 ◽  
Vol 256-259 ◽  
pp. 388-393
Author(s):  
Feng Shan Hao ◽  
Ying Guo ◽  
Yu Huang

This paper is used to study on the analysis and prediction of surface subsidence caused by pipe roof reinforcement method construction. Take one of the Shenyang's sewage disposal projects to be investigated, it monitored on field surface subsidence in the construction of under drain. During the measurement and monitoring, except for conventional measurement of surface subsidence according to code and peripheral convergence and so on, in order to analysis changes of stress and strain of the pipe roof in the whole construction of under drain. It also respectively arranges JMZX-212 intelligent string type of strain gauge in both internal and external sides of vault and hence. It used the Element Birth/Death of finite element software basing on the field data, using elastic-plastic and nonlinear finite element method. Material constitutive relationship used moor-coulomb model, simulating the process of tunnel of excavation and support, researching and stimulating the surface subsidence. The surface settlement of value was calculated applying finite theory via the numerical simulation, it based on prototype of engineering, which was approximately in accord with the measured value in field. The correctness of soil constitutive model chosen and boundary conditions used is verified, meanwhile, the numerical simulation shows the validity of the method .the results provide reference to similar construction method in the future.


2012 ◽  
Vol 27 (23) ◽  
pp. 1250131
Author(s):  
NAHOMI KAN ◽  
KOICHIRO KOBAYASHI ◽  
KIYOSHI SHIRAISHI

We study UV-finite theory of induced gravity. We use scalar fields, Dirac fields and vector fields as matter fields whose one-loop effects induce the gravitational action. To obtain the mass spectrum that satisfies the UV-finiteness condition, we use a graph-based construction of mass matrices. The existence of a self-consistent static solution for an Einstein universe is shown in the presence of degenerate fermions.


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