Fundamental Research in Applied Mathematics.

1984 ◽  
Author(s):  
F. W. J. Olver
Keyword(s):  
Applied Mathematics ◽  
Fundamental Research

Fundamental Research into Thin Films in a Developing Country

1972 ◽  
Vol 30 ◽  
pp. 500-501
Author(s):  
J.A. Eades ◽  
E. Grünbaum
Keyword(s):  
Thin Films ◽  
Growth Process ◽  
Empirical Process ◽  
Nucleation And Growth ◽  
Research Groups ◽  
Film Research ◽  
Fundamental Research ◽  
Controlled Deposition ◽  
The One ◽  
The University

In the last decade and a half, thin film research, particularly research into problems associated with epitaxy, has developed from a simple empirical process of determining the conditions for epitaxy into a complex analytical and experimental study of the nucleation and growth process on the one hand and a technology of very great importance on the other. During this period the thin films group of the University of Chile has studied the epitaxy of metals on metal and insulating substrates. The development of the group, one of the first research groups in physics to be established in the country, has parallelled the increasing complexity of the field.The elaborate techniques and equipment now needed for research into thin films may be illustrated by considering the plant and facilities of this group as characteristic of a good system for the controlled deposition and study of thin films.

IN SEARCH OF KNOWLEDGE IN PHILOSOPHY (Reflections on the book A. M. Starostin “Research Philosophy”. Rostov-on-Don: Rostov State University of Economics, 2019)

2019 ◽  
Vol 86 (3) ◽  
pp. 152-157
Author(s):  
E. V. Zolotuhina-Abolina
Keyword(s):  
State University ◽  
Objective Reality ◽  
Philosophical Reflection ◽  
Interdisciplinary Problems ◽  
Fundamental Research ◽  
Research Philosophy ◽  
Education Culture

In the monograph of Professor A. M. Starostin the notions “philosophical novations” and “research philosophy” was introduced and approved. The author divides the whole array of philosophic research into fundamental and applied – the sphere of philosophical novations. Fundamental and philosophic investigations are directed to the study of the problems of objective reality, thinking, cognition, the truth, freedom and other basic categories. The sphere of fundamental research is slowly changing and it’s development is marked by the outstanding names (Platon, Descartes, Kant, Schopenhauer, Heidegger etc.). As to the sphere of the philosophic innovations, its emergence and development are connected with application of methods of philosophical reflection to the realization of interdisciplinary problems of science, development of political, religious, artistic, ethical trends, which can't be researched only with the help of their own methods. The sphere of philosophic novations develops dynamically and according to its own scales and is twice larger than the sphere of fundamental philosophy.In his monography the author, from the viewpoint of his treating of fundamental and innovative projection of the philosophic knowledge and philosophic methods, analyses contemporary problems of politics, education, culture, science.

Topics in Quaternion Linear Algebra

2014 ◽  
Author(s):  
Leiba Rodman
Keyword(s):  
Linear Algebra ◽  
Complex Analysis ◽  
Dimensional Space ◽  
Applied Mathematics ◽  
Three Dimensional ◽  
Number System ◽  
Graduate Course ◽  
Open Problems ◽  
Unpublished Research ◽  
Reference Tool

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.

Discovery of an Unexpected Similarity in Ligand Binding Between BRD4 and PPARγ

2019 ◽  
Author(s):  
Lina Humbeck ◽  
Jette Pretzel ◽  
Saskia Spitzer ◽  
Oliver Koch
Keyword(s):  
Cancer Therapy ◽  
Drug Targets ◽  
Synergistic Effects ◽  
Complex Structure ◽  
Peroxisome Proliferator ◽  
Resistance Development ◽  
Peroxisome Proliferator Activated Receptor ◽  
Starting Point ◽  
Fundamental Research ◽  
Important Drug

Knowledge about interrelationships between different proteins is crucial in fundamental research for the elucidation of protein networks and pathways. Furthermore, it is especially critical in chemical biology to identify further key regulators of a disease and to take advantage of polypharmacology effects. A comprehensive scaffold-based analysis uncovered an unexpected relationship between bromodomain-containing protein 4 (BRD4) and peroxisome-proliferator activated receptor gamma (PPARγ). They are both important drug targets for cancer therapy and many more important diseases. Both proteins share binding site similarities near a common hydrophobic subpocket which should allow the design of a polypharmacology-based ligand targeting both proteins. Such a dual-BRD4-PPARγ-modulator could show synergistic effects with a higher efficacy or delayed resistance development in, for example, cancer therapy. Thereon, a complex structure of sulfasalazine was obtained that involves two bromodomains and could be a potential starting point for the design of a bivalent BRD4 inhibitor.

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