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Olga, --- Nicholas --- Russia --- Russie --- History --- Court and courtiers. --- Histoire --- Cour et courtisans

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"The Use Of Mathematical Structures: Modelling Real Phenomena" is an edited book consisting of 16 contemporaneous open-access articles that are devoted to the mathematical modelling of natural phenomena. To summarize, this book is about the use of applied mathematics and mathematical analysis in the context of its applications to real-world problems. It includes a selection of real-world problems in fluid dynamics, mechanical engineering, biology, and biochemistry. The last chapters include the mathematical modelling of the COVID-19 virus. The intended audience of this book is undergraduate and graduate students, as well as junior researchers. The reader must have a good knowledge of ordinary differential equations, boundary value problems, fractional calculus, stability theory, and wavelets in order to fully understand the real-world problems and their mathematical modelling included in this book.

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"The Notion Of Mathematical Proof: Key Rules And Considerations" is an edited book consisting of 16 contemporaneous open-access articles that aim to cover the different aspects of learning and teaching mathematical proof. The first part of this book aims at summing up factors that influence the cognitive development required to successfully understand and solve mathematical proofs. The second part of the book aims to overview implementations of learning methods for constructing and evaluating the validity of mathematical proof, as well as to provide strategies for overcoming possible difficulties in mathematical proof processing. It also includes other studies related to mathematical proof and a motion-based program for improving mathematical reasoning through action. This book is intended to reach out to an academic audience ranging from undergraduate students to junior researchers.

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Lexicology. Semantics --- Spanish language --- Comparative linguistics --- English language --- Contrastive linguistics --- Grammar, Comparative --- English --- Spanish --- Infinitive --- Prepositional phrases --- -English language --- -Spanish language --- -Contrastive linguistics --- Linguistics --- Germanic languages --- Castilian language --- Romance languages --- -English --- -Spanish --- Contrastive linguistics. --- Castellano --- Inglés --- Espagnol (Langue) --- Anglais (Langue) --- Infinitiv. --- Präposition. --- Syntax. --- Englisch. --- Spanisch. --- English. --- Spanish. --- Infinitive. --- Prepositional phrases. --- Frases preposicionales. --- Phrase. --- Prépositions. --- Grammaire comparée --- Anglais. --- Espagnol. --- Grammar, Comparative&delete& --- Spanish language - Grammar, Comparative - English --- English language - Grammar, Comparative - Spanish --- Spanish language - Infinitive --- English language - Infinitive --- Spanish language - Prepositional phrases --- English language - Prepositional phrases