scholarly journals The relationship between Graphic science and mathematical analysis in view of the Kakeya needle problem

2018 ◽  
Vol 52 (2) ◽  
pp. 3
Author(s):  
Hiroki SAITO
Keyword(s):  
Mathematical Analysis ◽  
The Relationship ◽  
Graphic Science

Effects of service-level constraint and failure-in-repair on an economic manufacturing quantity model

2007 ◽  
Vol 221 (7) ◽  
pp. 1235-1243 ◽  
Author(s):  
S W Chiu
Keyword(s):  
Decision Making ◽  
Mathematical Analysis ◽  
Average Cost ◽  
Service Level ◽  
Lot Size ◽  
Numerical Example ◽  
Long Run ◽  
The Relationship ◽  
Required Service

This paper studies the effects of service-level constraint and failure-in-repair on an economic manufacturing quantity (EMQ) model with random defective rate. It starts with the proof that the long-run average cost of an EMQ model with backlogging permitted is less than or equal to that of the same model without backlogging. The relationship between the ‘imputed backorder cost’ and maximal permitted shortage level is dependent for decision making on whether or not the required service level is achievable. An equation that calculates the intangible backorder cost is proposed for dealing with situations when the required service level is not attainable. Finally, by utilizing this intangible backorder cost in the proposed mathematical analysis, an optimal lot-size policy that minimizes expected overall costs as well as satisfies the service-level constraint can be derived. A numerical example with a discussion that demonstrates the effects of service-level constraint and failure-in-repair on the EMQ model is provided.

scholarly journals Antimicrobial Resistance within Host: A Population Dynamics View

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Chunji Huang ◽  
Aijun Fan
Keyword(s):  
Population Dynamics ◽  
Antimicrobial Resistance ◽  
Mathematical Analysis ◽  
Resistant Strain ◽  
High Strength ◽  
Susceptible Strain ◽  
Antibiotic Exposure ◽  
Treatment And Prevention ◽  
The Relationship

To study the relationship between antimicrobial resistance and the concentration of antibiotics, a competitive population dynamical model is proposed between the susceptible strain and the resistant strain with antibiotic exposure. The strict mathematical analysis is performed, and the results indicate that long-term high strength antibiotic treatment and prevention can induce the extinction of susceptible strain. Thus, the prescribed dose of antibiotics must be strictly controlled during the treatment and prevention of the infections in clinics.

An Investigation of Electrolytic Jet Polishing at High Current Densities

1963 ◽  
Vol 85 (4) ◽  
pp. 395-401 ◽  
Author(s):  
Reno R. Cole ◽  
Yoram Hopenfeld
Keyword(s):  
Mass Transfer ◽  
Flow Rate ◽  
Mathematical Analysis ◽  
High Current ◽  
Electrolyte Flow ◽  
Current Densities ◽  
Relationship Of ◽  
The Relationship ◽  
Modified Theory ◽  
Fundamental Mass

A method of polishing metals by means of an electrolytic jet at extremely high current densities (to 1750 amps per sq in.) is described. Data are presented on the relation of polishing effect on various metals to current density and electrolyte flow rate for several electrolytes. An experimental method is described whereby the relationship of the above factors can be determined. It was found that all metals investigated could be polished at high enough current densities. Previous theories of electrolytic polishing are discussed and shown to not fully account for the process investigated. A modified theory to account for polishing at the high current densities observed is presented and is supported by mathematical analysis based on fundamental mass transfer considerations.

A Method for Reconciling Subjectivist and Objectivist Assumptions in Management Research

2012 ◽  
Vol 19 (3) ◽  
pp. 369-377 ◽  
Author(s):  
Tillmann Böhme ◽  
Paul Childerhouse ◽  
Eric Deakins ◽  
Denis Towill
Keyword(s):  
Mixed Methods ◽  
Mathematical Analysis ◽  
Practical Experience ◽  
Lessons Learned ◽  
Management Research ◽  
Mixed Methods Approach ◽  
Comprehensive Picture ◽  
Contextual Environment ◽  
Field Perspective ◽  
The Relationship

Application of objectivist methodological assumptions and overreliance on mathematical analysis can cause researchers to oversimplify reality and thereby generate rigorously derived theories and recommendations that lack practitioner relevance. Although mixed-methods approaches to management research have long been heralded, the details remain sparse about how to reconcile apparently disparate approaches. By reflecting on lessons learned over some 15 years of practical experience with a robust mixed-methods approach specifically designed to bridge the academia–practitioner gap, this article demonstrates how inclusion of an interpretive field perspective yields a much more comprehensive picture of the relationship between the organization and its contextual environment. Thus, a key purpose of this article is to stimulate researchers into adopting a more balanced portfolio of research methods that will simultaneously achieve research rigor and generate insightful practitioner-relevant theory.

scholarly journals Biochemical and Functional Studies of Cortical Vesicle Fusion: The SNARE Complex and Ca2+ Sensitivity

1998 ◽  
Vol 143 (7) ◽  
pp. 1845-1857 ◽  
Author(s):  
Jens R. Coorssen ◽  
Paul S. Blank ◽  
Masahiro Tahara ◽  
Joshua Zimmerberg
Keyword(s):  
Membrane Fusion ◽  
Mathematical Analysis ◽  
Vesicle Fusion ◽  
Snare Complex ◽  
Functional Studies ◽  
Activity Curve ◽  
Cortical Vesicles ◽  
The Relationship

Cortical vesicles (CV) possess components critical to the mechanism of exocytosis. The homotypic fusion of CV centrifuged or settled into contact has a sigmoidal Ca2+ activity curve comparable to exocytosis (CV–PM fusion). Here we show that Sr2+ and Ba2+ also trigger CV–CV fusion, and agents affecting different steps of exocytotic fusion block Ca2+, Sr2+, and Ba2+-triggered CV–CV fusion. The maximal number of active fusion complexes per vesicle, <n\>Max, was quantified by NEM inhibition of fusion, showing that CV–CV fusion satisfies many criteria of a mathematical analysis developed for exocytosis. Both <n\>Max and the Ca2+ sensitivity of fusion complex activation were comparable to that determined for CV–PM fusion. Using Ca2+-induced SNARE complex disruption, we have analyzed the relationship between membrane fusion (CV–CV and CV–PM) and the SNARE complex. Fusion and complex disruption have different sensitivities to Ca2+, Sr2+, and Ba2+, the complex remains Ca2+- sensitive on fusion-incompetent CV, and disruption does not correlate with the quantified activation of fusion complexes. Under conditions which disrupt the SNARE complex, CV on the PM remain docked and fusion competent, and isolated CV still dock and fuse, but with a markedly reduced Ca2+ sensitivity. Thus, in this system, neither the formation, presence, nor disruption of the SNARE complex is essential to the Ca2+-triggered fusion of exocytotic membranes. Therefore the SNARE complex alone cannot be the universal minimal fusion machine for intracellular fusion. We suggest that this complex modulates the Ca2+ sensitivity of fusion.

Research on the Synergy of “Big Q” System

2013 ◽  
Vol 567 ◽  
pp. 123-132
Author(s):  
J.J. Li
Keyword(s):  
Mathematical Analysis ◽  
Management System ◽  
Quality System ◽  
Operation Rules ◽  
Optimal Function ◽  
Synergetic Model ◽  
The Relationship ◽  
Q System ◽  
Self Organizing

Big Q system of enterprise is a complex management system, which includes several sub-systems, and it suggests that the concept of “Big Q” should be formed in response to the needs of the growing situation through analyzing evolution in quality concept in this paper. Then, the intension and characteristics of big Q synergetic concept are proposed by analyzing the characteristics of the big Q system. Based on these studies, the relationship between the synergetic model of big Q and environment is explored, and the synergetic mechanism of the Big Q system is dissected by means of mathematical analysis. To be effective, the big quality system must be studied deeply. By applying the theory of self-organizing to study the big quality system, we can generalize features, characteristics and operation rules of the big quality system. So we can manage the big quality system scientifically and effectively to obtain an optimal function of the system.

scholarly journals The mathematical analysis of concurrent epidemics of yaws and chickenpox

1966 ◽  
Vol 64 (4) ◽  
pp. 431-439 ◽  
Author(s):  
John J. Gart ◽  
J. L. De Vries
Keyword(s):  
Mathematical Model ◽  
Mathematical Analysis ◽  
New Guinea ◽  
The Mathematical Model ◽  
The Relationship

The relationship between chickenpox and yaws epidemics occurring among children in a village in Netherlands New Guinea is analysed using the mathematical model for a simple deterministic epidemic. It is shown that the yaws epidemic accelerated significantly in the month following the chickenpox epidemic, but that it reverted to its previous rate in the succeeding months. The number of yaws cases attributable to the influence of the chickenpox is estimated from the projected course of the yaws epidemic. It is statistically verified that those children contracting chickenpox were more likely to become yaws cases in the subsequent month.These results point to the danger of yaws's spread being much more rapid among a population which has recently been subject to an epidemic of chickenpox.

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