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Mechanics, Analytic --- Mechanics, Analytic.

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Modern materials and structures are significantly different from conventional ones. Their sizes can be orders of magnitude smaller, and their compositions are so sophisticated that traditional characteristic methods are inapplicable. Non-conventional methods are essential to tackle these issues, which must often be approached in an interdisciplinary fashion. This Special Issue is a collection of articles that shed light on these problems.

Mechanics, Analytic

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Analytical chemistry is bound to face growing challenges in the future, especially for the quantification of trace analytes in complex matrices. Although the development of increasingly sensitive and specific instrumental techniques has achieved remarkable results, sample preparation is still a fundamental step, often limiting the whole workflow. In the context spawned by the recent international environmental policies that are responsive to the rapport of human activities with the surrounding environment, chemistry cannot hesitate to give its contribution. Almost pioneeringly, in analytical chemistry, we have been talking for some time about "green analytical chemistry", its guiding principles, and the development of eco-friendly analytical approaches. However, the new and still open challenge is advance not only in eco-compatibility but mainly in eco-sustainability, rooting the future of analytical chemistry in new perspective aimed at minimizing the environmental impact of the analytical process by placing environmental cost as a priority aim on par with analytical performance. This is the reprint of a Special Issue that includes contributions focused on the progress in analytical chemistry based on the arguments previously raised and discussed, with a particular reference to eco-compatibility and eco-sustainability. The contributions include the development of low environmental impact methods and/or techniques or their applications.

Analytical chemistry. --- Analysis, Chemical --- Analytic chemistry --- Chemical analysis --- Chemistry, Analytic --- Chemistry

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This graduate-level mathematics textbook provides an in-depth and readable exposition of selected topics in complex analysis. The material spans both the standard theory at a level suitable for a first-graduate class on the subject and several advanced topics delving deeper into the subject and applying the theory in different directions. The focus is on beautiful applications of complex analysis to geometry and number theory. The text is accompanied by beautiful figures illustrating many of the concepts and proofs. Among the topics covered are asymptotic analysis; conformal mapping and the Riemann mapping theory; the Euler gamma function, the Riemann zeta function, and a proof of the prime number theorem; elliptic functions, and modular forms. The final chapter gives the first detailed account in textbook format of the recent solution to the sphere packing problem in dimension 8, published by Maryna Viazovska in 2016 — a groundbreaking proof for which Viazovska was awarded the Fields Medal in 2022. The book is suitable for self-study by graduate students or advanced undergraduates with an interest in complex analysis and its applications, or for use as a textbook for graduate mathematics classes, with enough material for 2-3 semester-long classes. Researchers in complex analysis, analytic number theory, modular forms, and the theory of sphere packing, will also find much to enjoy in the text, including new material not found in standard textbooks.

Complex analysis, analytic functions, complex integration, complex variables,.

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Classical theists hold that God is omnipotent. But now suppose a critical atheologian were to ask: Can God create a stone so heavy that even he cannot lift it? This is the dilemma of the stone paradox. God either can or cannot create such a stone. Suppose that God can create it. Then there's something he cannot do - namely, lift the stone. Suppose that God cannot create the stone. Then, again, there's something he cannot do - namely, create it. Either way, God cannot be omnipotent. Among the variety of known theological paradoxes, the paradox of the stone is especially troubling because of its logical purity. It purports to show that one cannot believe in both God and the laws of logic. In the face of the stone paradox, how should the contemporary analytic theist respond? Ought they to revise their belief in theology or their belief in logic? Ought they to lose their religion or lose their mind?

Faith and reason. --- Analytic theology. --- Logic. --- Paradox --- Religious aspects.