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  1. 3341
    “…Patients in subgroup 2 had better overall survival, disease-free interval, progression-free interval, and disease-specific survival. Functional analysis indicated that differentially expressed genes in subgroup 2 were enriched in the xenobiotic metabolic process and regulation of cell development. …”
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    Online Artículo Texto
    Identification of Metabolism-Related Gene-Based Subgroup in Prostate Cancer
  2. 3342
    “…In addition, we obtained the same conclusion through immunohistochemistry. Functional analysis indicated that these four DEIGs were mainly involved in stem cell, cell cycle, UV response, and therapy resistance. …”
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    Online Artículo Texto
    Identification and characterization of four immune-related signatures in keloid
  3. 3343
    “…After validation, circRNA-0008706 was selected for functional analysis. Knockdown of circRNA-0008706 significantly suppressed the proliferation and migration phenotype of HASMCs and decreased the BCAT1 expression, which may be due to the specific binding of circRNA-0008706 to microRNA-125b-5p. …”
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    Online Artículo Texto
    Differential expression pattern, bioinformatics analysis, and validation of circRNA and mRNA in patients with arteriosclerosis
  4. 3344
    “…The second SNP was located on SSC9 within the intron of the AGMO gene. Functional analysis revealed a strong candidate causal gene underlying the QTL on SSC9. …”
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    Online Artículo Texto
    Meta-Analysis of SNPs Determining Litter Traits in Pigs
  5. 3345
    “…Whereas in case of COG functional analysis, 104,334 and 130,191 genes were assigned to different COG classes for ABSLW and ABS1 respectively. …”
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    Online Artículo Texto
    A shotgun approach to explore the bacterial diversity and a brief insight into the glycoside hydrolases of Samiti lake located in the Eastern Himalayas
  6. 3346
    “…In terms of egg white formation, the functional analysis revealed protein metabolism-related pathways account for 40% of the magnum's top pathways, which includes protein processing in the endoplasmic reticulum pathway. …”
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    Online Artículo Texto
    Research Note: Integrated transcriptomic and metabolomic analysis reveals potential candidate genes and regulatory pathways associated with egg weight in ducks
  7. 3347
    “…Furthermore, genetic characterization and functional analysis may contribute to a personalized approach, in a perspective of targeted or semi-targeted therapy.…”
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    Online Artículo Texto
    Case Report: Crossing a rugged road in a primary immune regulatory disorder
  8. 3348
    por Nouvel, Patrice
    Publicado 2014
    “…The second step is the design proposal based on a functional analysis, the CLIC and interfaced systems architecture. …”
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    Design of a dependable Interlock System for linear colliders
  9. 3349
    “…This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. …”
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    M-ideals in Banach spaces and Banach algebras
  10. 3350
    por Beyer, Horst Reinhard
    Publicado 2007
    “…The theoretical part is accessible to graduate students with basic knowledge in functional analysis. Only some examples require more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. …”
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    Beyond partial differential equations: on linear and quasi-linear abstract hyperbolic evolution equations
  11. 3351
    por Herzberg, Frederik
    Publicado 2013
    “…However, existing approaches to stochastic analysis either presuppose various concepts from measure theory and functional analysis or lack full mathematical rigour. This short book proposes to solve the dilemma: By adopting E. …”
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    Stochastic calculus with infinitesimals
  12. 3352
    por Cellina, Arrigo, Ornelas, António
    Publicado 2000
    “…The reader is required to know classical PDE theory and basic functional analysis.…”
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    Lectures given at the joint C.I.M./C.I.M.E. Summer School
  13. 3353
    “…The book will allow aspiring researchers to update their knowledge of cryptography, algebra, frame theory, optimizations, stochastic processes, compressive sensing, functional analysis, complex variables, etc. Educating future consumers, users, producers, developers and researchers in mathematics and computing is a challenging task and essential to the development of modern society. …”
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    International Conference on Mathematics and Computing
  14. 3354
    por Tikhonov, Sergey
    Publicado 2015
    “…The book addresses the needs of researchers working in numerical mathematics, harmonic analysis, and functional analysis. It quickly takes the reader from classical results to the latest frontier, but is written at the level of a graduate course and does not require a broad background in the field.…”
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    Sparse approximation with bases
  15. 3355
    por Ziemer, William P
    Publicado 2017
    “…Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem, Schwartz distributions, the area formula, Sobolev functions and applications to harmonic functions. …”
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    Modern real analysis
  16. 3356
    por Kielhöfer, Hansjörg
    Publicado 2018
    “…The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. …”
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    Calculus of variations: an introduction to the one-dimensional theory with examples and exercises
  17. 3357
    por Harlim, John
    Publicado 2018
    “…This book bridges this transition, connecting the theory of probability, stochastic processes, functional analysis, numerical analysis, and differential geometry. …”
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    Data-driven computational methods: parameter and operator estimations
  18. 3358
    por Sinha, Rajnikant
    Publicado 2018
    “…Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. …”
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    Real and complex analysis
  19. 3359
    por Edmunds, D E, Evans, W D
    Publicado 2018
    “…Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations. …”
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    Elliptic differential operators and spectral analysis
  20. 3360
    por Vaksman, Leonid L
    Publicado 2010
    “…It is well known that the classical bounded symmetric domains involve a large number of nice constructions and results of the theory of C^*-algebras, theory of functions and functional analysis, representation theory of real reductive Lie groups, harmonic analysis, and special functions. …”
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    Quantum bounded symmetric domains
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