ChemInform Abstract: Reactions That Proceed with a Combination of Enantiotopic Group and Diastereotopic Face Selectivity Can Deliver Products with Very High Enantiomeric Excess: Experimental Support of a Mathematical Model.

In order to increase the movement capability of the robotic visual system in three-dimension space, the paper designs an obstacle-avoidance algorithm based on robotic movement visual by effectively processing the visual information colleted by the robotics. This paper establishes a structural model of coordination control system. The obstacles can be effectively identified and avoided by the obstacle-avoidance theory in the robotics coordination operation. The mathematical model of the obstacle-avoidance algorithm can predict the locations of the obstacles. The experiment proves the proposed algorithm can avoid the obstacles in three-dimension space and the accuracy is very high.

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ChemInform Abstract: Efficient Synthesis of Optically Active β-Hydroxy p-Tolylsulfones with Very High Enantiomeric Excess via CBS-Oxazaborolidine-Catalyzed Borane Reduction.

ChemInform ◽

10.1002/chin.200204042 ◽

2010 ◽

Vol 33 (4) ◽

pp. no-no

Author(s):

Byung Tae Cho ◽

Dong Jun Kim

Keyword(s):

Enantiomeric Excess ◽

Optically Active ◽

Efficient Synthesis ◽

Borane Reduction ◽

Very High

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Towards a physical lattice model for the atom and implications for high-Tc superconductivity

International Journal of Modern Physics B ◽

10.1142/s0217979217450096 ◽

2017 ◽

Vol 31 (25) ◽

pp. 1745009

Author(s):

Jean-Francois Geneste ◽

Jenny Darja Vinko

Keyword(s):

Mathematical Model ◽

Atomic Nucleus ◽

Vapor Phase ◽

Lattice Model ◽

High Temperature Superconductivity ◽

Temperature Decrease ◽

High Tc ◽

Reciprocal Influence ◽

Global View ◽

Very High

Starting from Cook’s model [D. N. Cook, Models of the Atomic Nucleus (Springer, Berlin, 2006)], we proposed a non-Archimedean approach to show that we can transform his purely mathematical model into a physical one. In the first stage, we kept the f.c.c. lattice model surrounded by a vapor phase from which we can only extract “symmetric” entities (quantons?) which are the electrons. This in our opinion gives a much better global view of what the atom could be. When assembling the nuclei into a lattice, there is reciprocal influence between the vapor phase and the lattice. Consequently, superconductivity occurs when temperature decrease brings to freezing the vapor phase and when the “crystallization” of the vapor phase gives some symmetric tiling of the volume around the lattice, thanks to Curie’s theorem. Looking for high temperature superconductivity therefore is equivalent to finding symmetric crystallization of the vapor phase. In that sense this pleads for the use of heterogeneous materials in the “crystal grid” and the case being play with impurities. We do not see any limit, thanks to our model, for high and even very high temperatures for superconductivity.

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Mathematical model of the artificial muscle with two actuators

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406220941565 ◽

2020 ◽

pp. 095440622094156

Author(s):

Ljubinko B Kevac ◽

Mirjana M Filipovic ◽

Ana M Djuric

Keyword(s):

Mathematical Model ◽

Control Structure ◽

Artificial Muscle ◽

Parallel Robot ◽

Simulation Results ◽

Proportional Derivative Controller ◽

Definition Of ◽

The Mathematical Model ◽

The Given ◽

Very High

Characteristic construction of cable-suspended parallel robot of artificial muscle, which presents an artificial forearm, is analyzed and synthesized. Novel results were achieved and presented. Results presented in this paper were initially driven to recognize and mathematically define undefined geometric relations of the artificial forearm since it was found that they strongly affect the dynamic response of this system. It gets more complicated when one has more complex system, which uses more artificial muscle subsystems, since these subsystems couple and system becomes more unstable. Unmodeled or insufficiently modeled dynamics can strongly affect the system’s instability. Because of that, the construction of this system and its new mathematical model are defined and presented in this paper. Generally, it can be said that the analysis of geometry of selected mechanism is the first step and very important step to establish the structural stability of these systems. This system is driven with two actuators, which need to work in a coordinated fashion. The aim of this paper is to show the importance of the geometry of this solution, which then strongly affects the system’s kinematics and dynamics. To determine the complexity of this system, it was presumed that system has rigid cables. Idea is to show the importance of good defined geometry of the system, which gives good basis for the definition of mathematical model of the system. Novel program package AMCO, artificial muscle contribution, was defined for the validation of the mathematical model of the system and for choice of its parameters. Sensitivity of the system to certain parameters is very high and hence analysis of this system needs to be done with a lot of caution. Some parameters are very influential on the possible implementation of the given task of the system. Only after choosing the parameters and checking the system through certain simulation results, control structure can be defined. In this paper, proportional–derivative controller was chosen.

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Dimensionless Analysis for Investigating the Quality Characteristics of Aluminium Matrix Composites Prepared through Fused Deposition Modelling Assisted Investment Casting

Materials ◽

10.3390/ma12121907 ◽

2019 ◽

Vol 12 (12) ◽

pp. 1907 ◽

Cited By ~ 15

Author(s):

Sunpreet Singh ◽

Chander Prakash ◽

Parvesh Antil ◽

Rupinder Singh ◽

Grzegorz Królczyk ◽

...

Keyword(s):

Mathematical Model ◽

Input Parameter ◽

Aluminium Matrix ◽

Fused Deposition Modelling ◽

Matrix Composites ◽

Aluminium Matrix Composites ◽

Fused Deposition ◽

Dimensionless Analysis ◽

The Mathematical Model ◽

Very High

The aluminium matrix composites (AMCs) have become a tough competitor for various categories of metallic alloys, especially ferrous materials, owing to their tremendous servicing in the diversified application. In this work, additional efforts have been made to formulate a mathematical model, by using dimensionless analysis, able to predict the mechanical characteristics of the AMCs that have already been optimized and characterized by the authors. Here, the experimental and statistical data obtained from the Taguchi L18 orthogonal array and analysis of variance (ANOVA) have been used. They permit collection of the output responses and allow the identification of significant process parameters, respectively, which thereafter were used to design the mathematical model. Second order polynomial equations have been obtained from the specific output response and the relevant input parameter were incorporated with the highest level of contribution. The obtained quadratic equations indicate the regression values (R2) equal to unity, hence, proving the performances of the fit. The results demonstrate that the developed mathematical models present very high accuracy for predicting the output responses.

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A mathematical model for objective hand evaluation of automotive seat fabrics

Journal of Industrial Textiles ◽

10.1177/1528083720949446 ◽

2020 ◽

pp. 152808372094944

Author(s):

Meenakshi Ahirwar ◽

BK Behera

Keyword(s):

Mathematical Model ◽

Objective Evaluation ◽

Subjective Assessment ◽

Point Of View ◽

Car Seat ◽

Fabric Hand ◽

Coefficient Of Concordance ◽

Hand Evaluation ◽

Very High ◽

Fabric Hand Evaluation

A mathematical model for objective evaluation of hand value of car seat fabrics was developed using a step-wise block regression method. The subjective assessment of fabrics was conducted by a panel of judges to identify the primary hand attributes and the related mechanical parameters playing an important role in the fabric hand evaluation. The primary attributes selected by judges were conformability, smoothness, softness and stretchability. The coefficient of concordance was determined to find out the agreement among the judges. From consumer point of view, conformability got the highest weightage in the survey. There is an excellent correlation between the subjective and objective primary hand values. The correlation between the subjective and the objective total hand values found to be very high (R > 0.9) both with and without stretchability parameter.

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Analytically depicting the calcium diffusion for Alzheimer’s affected cell

International Journal of Biomathematics ◽

10.1142/s1793524518500882 ◽

2018 ◽

Vol 11 (07) ◽

pp. 1850088 ◽

Cited By ~ 3

Author(s):

Devanshi D. Dave ◽

Brajesh Kumar Jha

Keyword(s):

Mathematical Model ◽

Calcium Ions ◽

Complex Structure ◽

Calcium Signalling ◽

Cytosolic Calcium ◽

Free Calcium ◽

Calcium Diffusion ◽

The Impact ◽

The Brain ◽

Very High

Brain is the most complex structure of the human body. The processes going inside the brain and the mechanisms behind it have been unrevealed up to certain extent only. Out of the various physiological phenomena carried out by the brain, calcium signalling can be considered as one of the most important. Calcium being a second messenger plays an important role in transformation of various information. In view of above, an attempt has been made here to study calcium signalling in presence of buffers, i.e. one kind of proteins and endoplasmic reticulum (ER), which is also known as store house of the cell. Being the store house of the cell, it has very high amount of calcium, whereas buffers decrease the level of free calcium ions by binding calcium ions to it. A two-dimensional mathematical model has been developed to see the impact of these parameters on cytosolic calcium concentration. This mathematical model is solved analytically using Laplace transforms and similarity transforms. The simulations are carried out using MATLAB. It is observed that the impact of buffer and ER is significant on calcium signalling. The obtained results are interpreted with the Alzheimeric condition of the nerve cells.

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