The Emergence of Mathematical Needs in an Industrial Center

1953 ◽  
Vol 46 (1) ◽  
pp. 1-2
Author(s):  
Arvid W. Jacobson
Keyword(s):  
Mathematical Model ◽  
Modern Science ◽  
Order Effects ◽  
Entire System ◽  
Trial And Error ◽  
Mathematical Methods ◽  
Economic Process ◽  
Operating Unit ◽  
Industrial Center

The foremost feature in modern science and technology is the expanding role of mathematics. In industry and business the increasing complexity of problems and the ever-present search for better products and services, lead to the use of mathematical methods. Trial and error methods can not alone yield the information of the behavior of a physical system or a business procedure or an economic process necessary if improvement in design or function is to be achieved. To understand and evaluate the effects of small components on the behavior of a system, it must be considered as a single operating unit. The functional dependance of the entire system must be expressed in terms of all of the components, large and small. Thus a mathematical model emerges which is an abstraction of the quantitative and logical relationships of the system. Often, as further improvements are sought, the effect of a larger number of these smaller components need to be understood and weighed. It is thus the proper evaluation of the small effects or “second order effects” that determines progress.

The Impact of Light Polarisation on Light Field of Scenes with Multiple Reflections

2020 ◽  
pp. 108-115 ◽  
Author(s):  
Vladimir P. Budak ◽  
Anton V. Grimaylo
Keyword(s):  
Mathematical Model ◽  
Light Field ◽  
Global Illumination ◽  
Multiple Reflections ◽  
Software Environment ◽  
The Monte Carlo Method ◽  
Mueller Matrices ◽  
Volume Integration ◽  
The Impact

The article describes the role of polarisation in calculation of multiple reflections. A mathematical model of multiple reflections based on the Stokes vector for beam description and Mueller matrices for description of surface properties is presented. On the basis of this model, the global illumination equation is generalised for the polarisation case and is resolved into volume integration. This allows us to obtain an expression for the Monte Carlo method local estimates and to use them for evaluation of light distribution in the scene with consideration of polarisation. The obtained mathematical model was implemented in the software environment using the example of a scene with its surfaces having both diffuse and regular components of reflection. The results presented in the article show that the calculation difference may reach 30 % when polarisation is taken into consideration as compared to standard modelling.

The Modern Aristotle: Michael Polanyi’s Search for Truth against Nihilism

2018 ◽  
Author(s):  
Ronald Hoinski ◽  
Ronald Polansky
Keyword(s):  
Philosophy Of Science ◽  
Modern Science ◽  
Michael Polanyi ◽  
Contemporary Philosophy ◽  
The Face ◽  
Human Desire ◽  
The Mind ◽  
Theoretical Science

David Hoinski and Ronald Polansky’s “The Modern Aristotle: Michael Polanyi’s Search for Truth against Nihilism” shows how the general tendencies of contemporary philosophy of science disclose a return to the Aristotelian emphasis on both the formation of dispositions to know and the role of the mind in theoretical science. Focusing on a comparison of Michael Polanyi and Aristotle, Hoinski and Polansky investigate to what degree Aristotelian thought retains its purchase on reality in the face of the changes wrought by modern science. Polanyi’s approach relies on several Aristotelian assumptions, including the naturalness of the human desire to know, the institutional and personal basis for the accumulation of knowledge, and the endorsement of realism against objectivism. Hoinski and Polansky emphasize the promise of Polanyi’s neo-Aristotelian framework, which argues that science is won through reflection on reality.

The methodology of experimental research of the feed components extrusion process in order to improve its energy performance

2020 ◽  
pp. 147-152
Author(s):  
E. M. Ratnikov ◽  
D. O. Milko
Keyword(s):  
Experimental Studies ◽  
Energy Performance ◽  
Extrusion Process ◽  
Mathematical Methods ◽  
Screw Extruder ◽  
Mathematical Planning ◽  
Factors Affecting ◽  
Extrusion Processing ◽  
Definition Of

Annotation Purpose. Development of a program and methods for conducting experimental studies of the extrusion process with the definition of parameters and modes of operation of the extruder to improve its energy performance. Methods. Methods of mathematical statistics, synthesis, analysis, description and modeling were used. Results. The application of mathematical methods, in particular mathematical planning, reduces the number of experiments several times, and allows to evaluate the role of influencing factors, obtain a mathematical model of the process and determine the optimal conditions for its parameters and modes, etc. Conclusions. The methodology for experimental studies of a screw extruder is presented with the necessary equipment and methodology for processing the obtained experimental data. A mathematical method of planning, which reduces the number of experiments several times, allows us to evaluate the role of factors affecting productivity and energy intensity is presented. Keywords: extruder, auger, nutrients, research methodology, extrusion, processing, feed.

Role of Panchakarma in management of Gridhrasi

2016 ◽  
Vol 1 (2) ◽  
Author(s):  
Imlikumba . ◽  
Parappagoudra Mahesh ◽  
BA Lohith ◽  
K Singha ◽  
S Lalravi
Keyword(s):  
Modern Science ◽  
Stressful Life ◽  
Low Back ◽  
Lateral Aspect ◽  
Effective Measure ◽  
Main Complaint ◽  
Different Types ◽  
Back Ache ◽  
Different Dimensions

Panchakarma is a fruitful measure and its extensive efficacies are classified in different dimensions to cure different types of complicated diseases. Vamana, Virechana, Niruha, Anuvasana and Nasya are the five procedures and subsequently even Vamana, Virechana, Basti, Nasya and Rakta Mokshana are broadly termed as Panchakarma in day to day practices.The new diseases are evolving with intense gravity and therefore to combat those, Panchakarma is a very effective measure. In present era competition and advancement have led to hectic and stressful life, man has eventually forgotten the absolute enjoyment and solitary affection of nature and as a result is facing many health problems. Gridhrasi is no exception, it is correlated to sciatica in modern science where low back ache radiating to toes in the lateral aspect of the thigh associated with stiffness is the main complaint.

scholarly journals The search for new materials and the role of novel processing routes

2021 ◽  
Vol 1 (1) ◽  
Author(s):  
Peter J. Wellmann
Keyword(s):  
Materials Science ◽  
Research Society ◽  
Subsequent Treatment ◽  
European Council ◽  
Trial And Error ◽  
Human History ◽  
New Materials ◽  
Materials Research ◽  
Novel Processing

AbstractThroughout human history, most further developments or new achievements were accompanied by new materials or new processes that enabled the technologic progress. With concrete devices and applications in mind, synthesis and subsequent treatment of materials naturally went along with the progress. The aim of the underlying article is to spot the role of optimization, of discovery, of trial-and-error approaches, of fundamentals and curiosity driven design and development. In a consecutive examination, five missions addressing the challenges facing our world (identified by the European Council) will be cross linked with seven topical areas from materials science defined by the European Materials Research Society. The scope of this examination is to identify approaches and methods to further develop and innovate materials which form the basis of the anticipated solutions.

scholarly journals The Mathematical Model for Total Pubertal Growth in Idiopathic Growth Hormone (GH) Deficiency Suggests a Moderate Role of GH Dose

2003 ◽  
Vol 88 (10) ◽  
pp. 4748-4753 ◽  
Author(s):  
Michael B. Ranke ◽  
Anders Lindberg ◽  
David D. Martin ◽  
Bert Bakker ◽  
Patrick Wilton ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Growth Hormone ◽  
Gh Deficiency ◽  
Pubertal Growth ◽  
The Mathematical Model

scholarly journals Retrospectives Whatever Happened to the Cambridge Capital Theory Controversies?

2003 ◽  
Vol 17 (1) ◽  
pp. 199-214 ◽  
Author(s):  
Avi J Cohen ◽  
G. C Harcourt
Keyword(s):  
Business Cycle ◽  
Endogenous Growth ◽  
Path Dependence ◽  
Real Business Cycle ◽  
Capital Theory ◽  
Economic Process ◽  
The 1950S ◽  
Simple Models

We argue that the Cambridge capital theory controversies of the 1950s to 1970s were the latest in a series of still-unresolved controversies over three deep issues: explaining and justifying the return to capital; Joan Robinson's complaint that, due to path dependence, equilibrium is not an outcome of an economic process and therefore an inadequate tool for analyzing accumulation and growth; and the role of ideology and vision in fuelling controversy when results of simple models are not robust. We predict these important and relevant issues, latent in endogenous growth and real business cycle theories, will erupt in future controversy.

Sign in / Sign up

Export Citation Format

Share Document