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The Riemann Hypothesis and Emergent Phase Space  [PDF]
Daniel Brox
Journal of Modern Physics (JMP) , 2017, DOI: 10.4236/jmp.2017.84030
Abstract: By interpreting multifractal L-function zero alignment as a decoherence process, the Riemann hypothesis is demonstrated to imply the emergence of classical phase space at zero alignment. This provides a conception of emergent dynamics in which decoherence leads to classical system formation, and classical system trajectories are characterized by modular forms.
Fixed point theorem and its application to perturbed integral equations in modular function spaces
Ahmed Hajji,Elaidi Hanebaly
Electronic Journal of Differential Equations , 2005,
Abstract: In this paper, we present a modular version of Krasnoselskii's fixed point theorem. Then this result is applied to the existence of solutions to perturbed integral equations in modular function spaces.
模块化设计理念下的共享办公空间分析
Analysis of Shared Office Space under Modular Design Concept  [PDF]
赵雪阳
Design (Design) , 2024, DOI: 10.12677/design.2024.96745
Abstract: 在当前社会快速发展的背景下，信息化、多功能化都是当代设计的热点词汇，模块化理念下的共享办公空间是未来办公空间的设计趋势。本文探讨了模块化设计理念在共享办公空间中的应用。模块化设计通过点、线、面等方式解构与重组模块产品，形成了灵活多变的子模块，满足了多样化需求。在共享办公空间中，模块化设计不仅提升了空间的灵活性和趣味性，还在空间功能和智能化办公等方面进行优化。本文总结了共享办公空间模块化设计现存的问题，并基于当前飞速发展的经济科技水平和模块化设计的特点，从模块与环境、模块与模块和模块与用户三个方面对现存问题提出改进建议。以期对共享办公空间模块化设计的未来发展提供思路。
In the context of the rapid development of the current society, information and multi-functional are hot words in contemporary design, and the shared office space under the modular concept is the design trend of the future office space. This paper discusses the application of modular design concept in shared office space. Modular design deconstructs and reorganizes modular products by means of point, line and plane, forming flexible sub-modules to meet diversified needs. In the shared office space, the modular design not only enhances the flexibility and interest of the space, but also optimizes the space function and intelligent office. This paper summarizes the existing problems in modular design of shared office space, and based on the current rapid development of economic and technological level and the characteristics of modular design, puts forward suggestions to improve the existing problems from three aspects: module and environment, module and module, and module and user. In order to provide ideas for the future development of modular design of shared office space.
Matrix Summability and Korovkin Type Approximation Theorem on Modular Spaces
S. Karakus and K. Demirci
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE , 2011,
Abstract: In this paper, using a matrix summability method we obtain a Korovkin type approximation theorem for a sequence of positive linear operators defined on a modular space.
Matrix Summability and Korovkin Type Approximation Theorem on Modular Spaces
S. Karakus,K. Demirci
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE , 2010,
Abstract: In this paper, using a matrix summability method we obtain a Korovkin type approximation theorem for a sequence of positive linear operators defined on a modular space.
Analysis on Self-Morphing Process of Self-Reconfigurable Modular Robot
Yanqiong Fei,Yueliang Zhu,Ping Xia
International Journal of Advanced Robotic Systems , 2010,
Abstract: The self-reconfigurable modular robot consists of many identical modules. By connecting to/disconnecting from other modules, the whole structure of the robot can transform into arbitrary other configurations. First, the lattice-type self-reconfigurable modular robot is proposed and its disconnected/connected mechanism is analyzed, which can finish self-morphing action. Second, the basic configuration of the module is analyzed with the eigenvector matrix. The motion rules are proposed. Third, the possible motion space is described with the geometric feature of modules which is effective for performing the self-morphing process. Then, the selfmorphing motion process is described with the driving function and the adjacency matrix which is useful to solve the computation problem and optimize the motion paths of the robot during the self-reconfigurable morphing process. Final, an experiment of three-module motion and a simulation of multi-module's self-morphing process are shown to prove that the above analyses are effective.
On the geometric properities of new type modular space
Mehmet Sengonul
Tamkang Journal of Mathematics , 2012, DOI: 10.5556/j.tkjm.43.2012.159-170
Abstract: In this paper, using a modular, we have defined the modular space $M_{m^*}(p)$ and we have shown that the sequence space $M_{m^*}(p)$ equipped with the Luxemburg norm is rotund and possesses H-property (or Kadec-Klee property) when $p=(p_k)$ is bounded with $p_k>1$ for all $kinmathbb{N}$.
Fixed point theorems in modular spaces
Farajzadeh, Ali P.,Mohammadi, Maryam Beyg,Noor, Muhammad Aslam
- , 2011,
Abstract: Sa？etak In this paper we establish new fixed point theorems for modular spaces
Space Complexity of Algorithm for Modular Multiplicative Inverse  [PDF]
Boris S. Verkhovsky
Int'l J. of Communications, Network and System Sciences (IJCNS) , 2011, DOI: 10.4236/ijcns.2011.46041
Abstract: In certain computational systems the amount of space required to execute an algorithm is even more restrictive than the corresponding time necessary for solution of a problem. In this paper an algorithm for modular multiplicative inverse is introduced and its computational space complexity is analyzed. A tight upper bound for bit storage required for execution of the algorithm is provided. It is demonstrated that for range of numbers used in public-key encryption systems, the size of bit storage does not exceed a 2K-bit threshold in the worst-case. This feature of the Enhanced-Euclid algorithm allows designing special-purpose hardware for its implementation as a subroutine in communication-secure wireless devices.
Experimental Evaluation of Fixing Equipment for Improving the Efficiency of Modular Unit Systems  [PDF]
Kyoon-Tai Kim, Nam-Cheon Park
Journal of Building Construction and Planning Research (JBCPR) , 2014, DOI: 10.4236/jbcpr.2014.24022
Abstract: Modular unit systems provide an eco-friendly advanced construction method that improves productivity and reduces carbon emissions and construction waste. In these systems, the prefabrication ratio of the modules should be high in order to support these eco-friendly features. The purpose of this study was to verify the functionality and driving safety of fixing a modular unit with a high prefabrication ratio to a vehicle for transportation to the site using two novel adapter blocks specially developed for this purpose. When asked to evaluate their performance for this study, the truck drivers selected adaptor block type B as providing the highest convenience and functionality. In real-world driving experiments, maximum loads of 15 kN and 25 kN were measured on adapter block types A and B, respectively. Future improvements in the adapter blocks that take the safety ratio and the improved convenience of use into account are confidently expected to contribute to the eco-friendliness and the improved productivity of modular unit systems.
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