“…Prerequisites include standard first-year graduate courses covering linear and abstract algebra, topology and geometry, and real and complex analysis.…”
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“…Some contributions deal with applications in physics and engineering, other concern potential­ theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. …”
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“…The Proceedings will be of great interest to researchers in Operator The­ ory, Real and Complex Analysis, Functional and Harmonic Analysis, Potential Theory, Fractional Calculus and other areas, as well as to graduate students looking for the latest results.…”
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“…The contributions in this volume aim to deepen the researcher's understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. …”
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“…He created new mathematical branches, such as algebraic topology, dynamical systems, and automorphic functions, and he opened the way to complex analysis with several variables and to the modern approach to asymptotic expansions. …”
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“…A background in real and complex analysis is assumed; the author presents the requisite tools from functional analysis within the text. …”
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“…In order to analyse this unprecedented amount of data, which is about 100 times larger than the statistics collected in Run 1 and Run 2, the ALICE collaboration is developing a complex analysis framework that aims at maximising the processing speed and data volume reduction. …”
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“…MOTIVATION: Iso-Seq RNA long-read sequencing enables the identification of full-length transcripts and isoforms, removing the need for complex analysis such as transcriptome assembly. However, the raw sequencing data need to be processed in a series of steps before annotation is complete. …”
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“…The results of this complex analysis are the focus of the report highlighted here. …”
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“…Microbiologists need special tools for complex analysis of data to study and identification of regulatory mechanism in bacteria and archaea. -. transcriptional regulation by transcription factors (TFs), analysis of TFs, their targets, and binding sites. -. other regulatory motifs, promoters, terminators and ribosome binding sites; -. transcriptional regulation by variation of operon structure, alternative starts or ends of transcription. -. non-coding RNAs, antisense RNAs; -. …”
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“…This higher-resolution structure yields a more precise description of the structure and confirms the prediction of structural conservation in this core complex. Analysis of particle heterogeneity also suggests how the SctS/FliQ subunits sequentially assemble in the complex.…”
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“…Big data and complex analysis workflows (pipelines) are common issues in data driven science such as bioinformatics. …”
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“…In approaching the complex analysis of age-associated derangement of the immune system, homeostasis, and its clinical consequences, classical monoclonal lymphoproliferative syndrome (CLL) accompanied by a myriad of cellular and humoral defects, has been selected as appropriate and useful model for studies of impact T-cell and B-cell defects on appearance, evolution of clinical manifestations and outcome of CLL syndrome. …”
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“…The paper presents a procedure of the manufacturing and complex analysis of the properties of injection mouldings made of polymeric composites based on the poly(butylene succinate) (PBS) matrix with the addition of a natural filler in the form of wheat bran (WB). …”
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“…General non-destructive testing techniques require static equipment and complex analysis processes, which restricts the maintenance of automated machines. …”
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“…Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. …”
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“…Assuming only knowledge of elementary probability, complex analysis and optics, the book guides its reader through the fundamentals of vector and Hilbert spaces and the necessary quantum-mechanical ideas, simply formulated in four postulates. …”
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“…With regard to the reader’s background knowledge, only the basic properties of operators in Hilbert spaces and well-known results from complex analysis are assumed.…”
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“…Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential. .…”
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