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...iences American Research Press Rehoboth, NM 2005 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learn... ...erformats.htm ISBN:1-931233-92-6 Standard Address Number: 297-5092 Printed in the United States of America Preface A combinatorial map is a connected... ...e A combinatorial map is a connected topological graph cellularly embedded in a surface. As a linking of combinatorial configuration with the classical... ...lems, in fact, any solution for one of these problems needs to establish a new mathematical system first. But as soon as the system has been establishe... ...e.,aglobalquestion,theideausedinthereferences[40]−[41] are not applicable. New approach should be used. 2.1 Combinatorial conditions for an automorphi... ...sultant M ∗ is a triangulation of the same surface and the valency of each new vertex is 6. Fig. 4.5 Then we get the following result. Theorem 4.4.2 F... ...27] H.Iseri, Smarandache Manifolds, American Research Press, Rehoboth, NM, 2002. [28] H.Iseri,PartiallyParadoxistSmarandacheGeometries,http://www.gall... ...ng distribution for bouquets of circles, References 110 Discrete Math.248(2002),93-108. [32] L.Kuciuk and M.Antholy, An Introduction to Smarandache G... ...ternationalCongressofMathematicians(ICM2002),Beijing,China, 20-28, August, 2002, http://www.icm2002.org.cn/B/Schedule.Section04.htm. [33] Y.P.Liu, Enu...
...A combinatorial map is a connected topological graph cellularly embedded in a surface. As a linking of combinatorial configuration with the classical mathematics, it fascinates more and more mathematician’s interesting. Its function and role in mathematics are widely accepted by mathematicians tod...
...The concept of science and the sciences. Fundamental and historical development in the sciences. Great ideas that revolutionize our scientific world. The story of the cell and Biology. The birth of modern Biology. The rise of the modern University and experimental stations. The cell as the basic bui...
...INTRODUCTION 1 ABSTRACT ON THE CONCEPT OF PERSPECTIVE AND SENSE OF DUTY 4 THE CONCEPT OF SCIENCE 5 FUNDAMENTAL AND HISTORIC DEVELOPMENTS IN THE SCIENCES 7 ABSTRACT ON THE ATOM AND ITS ENERGY 11 GREAT IDEAS THAT REVOLUTIONIZED OUR SCIENTIFIC WORLD 16 DEMOCRITUS (470 - 380 BC) Greek Philosopher 16 NICHOLAS COPERNICUS (1473 - 1543) Polish Astronomer 17 ...
...The 2000 year history of the atom and chemistry, from the Classic Greek Era to the present, is described in 800 pages, depicted with some 300 pictures and illustrations. This history of the atom and chemistry discusses the lives of about 180 chemists and physicists, through the evolution of several stages of development, repr...
...extent of my emotions and reasons for writing this book on the STORY OF THE ATOM AND THE SCIENCES, with special reference to the CHEMICAL SCIENCES. In one sentence, I can distill the essence of the purpose for this study by simply stating that it has been a labor of love that transcended the written word because sentiments and ideas belong in the realm of the ethereal an...
...THE EVOLUTION OF KNOWLEDGE 47 FRANCIS BACON, RENE DESCARTES, BENEDICTUS SPINOZA, GOTTFRIED LEIBNIZ and FRANCOIS MARIE VOLTAIRE. FUNDAMENTAL EVENTS IN THE EVOLUTION OF MODERN SCIENCE 49 THE FIRST GENERATION IN SCIENTIFIC DEVELOPMENT 50 NICOLAS COPERNICUS (1473-1543) Polish Astronomer 50 Proponent of the heliocentric theory of our solar system with the Sun and not th...