“…Featured contributions from leading scientists provide a thorough overview of current and active research. Methods from functional analysis, spectral theory, renormalization group theory, and variational calculus are used to prove rigorous results in quantum physics. …”
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“…First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. …”
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“…They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. …”
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“…Algebraic and differential geometry and topology, commutative algebra and group theory are as intimately connected to singularity theory as are dynamical systems theory, control theory, differential equations, quantum mechanical and quasi-classical asymptotics, optics, and functional analysis. This collection of papers incorporates recent results of participants in the editor's ongoing seminar in singularity theory, held in the Mechanics and Mathematics Department of Moscow University for over twenty years. …”
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“…In animal systems, several methods exist for the direct delivery of nucleic acids and proteins into cells for functional analysis. Until recently, these methods have not been applied to plant systems. …”
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“…We present a new version of Babelomics, a complete suite of web tools for functional analysis of genome-scale experiments, with new and improved tools. …”
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“…The analysis of concurrent annotations provides significant information for the biologic interpretation of high-throughput experiments and may outperform the results of standard methods for the functional analysis of gene lists. GENECODIS is publicly available at .…”
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“…We present a new version of the European Bioinformatics Institute Web Services, a complete suite of SOAP-based web tools for structural and functional analysis, with new and improved applications. …”
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“…Surface, secreted and transmembrane protein-encoding open reading frames, collectively the secretome, can be identified in bacterial genome sequences using bioinformatics. However, functional analysis of translated secretomes is possible only if many secretome proteins are expressed and purified individually. …”
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“…Our major mathematical tool to prove this result is functional analysis without involving the Dirac delta function, which was heuristically used by Yu and Wang (2009).…”
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“…CONCLUSIONS: Given available computer and internet technology, BioD may be implemented as an extensible, multidisciplinary language that can be used to archive functional systems knowledge and be extended to support both qualitative and quantitative functional analysis.…”
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“…Functional analysis of glycolipids has been hampered by their complex nature and combinatorial expression in cells and tissues. …”
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“…The Th. elongatum transcriptome research highlights the activation of a large set of water deficit-related genes in this species and provides a valuable resource for future functional analysis of candidate genes in the water deficit stress response.…”
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“…This in vivo gene transfer method is useful for functional analysis of genetic elements, therapeutic effect of oligonucleotides, and cancer cells to establish the metastatic cancer animal model for experimental research. …”
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“…Lastly, towards the functional analysis of early neural crest and other developmental genes, this article provides data on the introduction of exogenous DNA into early stage rabbit embryos using electroporation.…”
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“…In this review, we describe the pathological aspects of MITOL revealed through functional analysis and its potential as a drug discovery target.…”
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“…Phenotypic and functional analysis of conventional and unconventional T cells by flow cytometry is included. …”
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“…This technique is beneficial for researchers interested in functional analysis of genes as it improves reproducibility and replicability of the experiment. …”
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“…Furthermore, predicted functional analysis using PICRUSt resulted in a significantly reduced abundance of 15 immune-related pathways in the ASFV-infected pigs. …”
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“…Further evidence from familial cases and functional analysis is needed to confirm their causal roles in FECD.…”
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