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Advances in Mechanics of Materials for Environmental and Civil Engineering
Deals with both mathematical modeling and experimental studies related to systems relevant for various civil engineering fields. The book addresses several key topics, including artificial intelligence applied to the control and monitoring of construction site personnel, finite element models for endplate beam-to-column connections under various load conditions, random functionally graded micropolar beams, and many others. The book explores the design and study of microstructures aimed at increasing the toughness and durability of novel materials in building and construction, based also on the re-utilization of residues and wastes of metallurgical industry produces.
Basic principles and applications of probability theory
This introductory chapter discusses such notions as determinism, chaos and randomness, p- dictibility and unpredictibility, some initial approaches to formalizing r- domness and it surveys certain problems that can be solved by probability theory. This will perhaps give one an idea to what extent the theory can - swer questions arising in speci?c random occurrences and the character of the answers provided by the theory. 1. 1 The Nature of Randomness The phrase “by chance” has no single meaning in ordinary language. For instance, it may mean unpremeditated, nonobligatory, unexpected, and so on. Its opposite sense is simpler: “not by chance” signi?es obliged to or bound to (happen). In philosophy, necessity counteracts randomness. Necessity signi?es conforming to law – it can be expressed by an exact law. The basic laws of mechanics, physics and astronomy can be formulated in terms of precise quantitativerelationswhichmustholdwithironcladnecessity.
