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  • 1
    Online Resource
    Online Resource
    Amsterdam : Elsevier Academic Press
    Keywords: Inequalities (Mathematics) ; Markov processes ; Functional analysis ; Semigroups ; Spectral theory (Mathematics) ; Inequalities (Mathematics) ; Markov processes ; Semigroups ; Spectral theory (Mathematics) ; Inequalities (Mathematics) ; Markov processes ; Functional analysis ; MATHEMATICS ; Functional Analysis ; Semigroups ; Spectral theory (Mathematics) ; Analyse fonctionnelle ; Spectre (Mathématiques) ; Semi-groupes ; Electronic books ; Electronic books
    Description / Table of Contents: Chapter 0: Preliminaries -- Chapter 1 Poinc̀re Inequality and Spectral Gap -- Chapter 2 Diffusion Processes on Manifolds and Applications -- Chapter 3 Functional Inequalities and Essential Spectrum -- Chapter 4: Weak Poincare Inequalities and Convergence of Semigroups -- Chapter 5 Log-Sobolev Inequalities and Semigroup Properties -- Chapter 6 Interpolations of Poincare and Log-Sobolev Inequalities -- Chapter 7 Some Infinite Dimensional Models -- Bibliography -- Index
    Type of Medium: Online Resource
    Pages: Online Ressource
    Edition: Online-Ausg. Amsterdam Elsevier Science & Technology Online-Ressource ScienceDirect
    ISBN: 9780080449425 , 0080449425
    Series Statement: Dang dai jie chu qing nian ke xue wen ku
    RVK:
    Language: English
    Note: Includes bibliographical references and index. - Description based on print version record , Chapter 0: PreliminariesChapter 1 Poinc̀re Inequality and Spectral Gap -- Chapter 2 Diffusion Processes on Manifolds and Applications -- Chapter 3 Functional Inequalities and Essential Spectrum -- Chapter 4: Weak Poincare Inequalities and Convergence of Semigroups -- Chapter 5 Log-Sobolev Inequalities and Semigroup Properties -- Chapter 6 Interpolations of Poincare and Log-Sobolev Inequalities -- Chapter 7 Some Infinite Dimensional Models -- Bibliography -- Index . , English
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  • 2
    Publication Date: 2024-04-20
    Description: China has promoted its vegetation cover and terrestrial carbon sink through ecological restorations since the end of the 20th century. However, the temporal variation in vegetation carbon sequestration remains unclear, and the relative effects of climate change and human efforts are under debate. By integrating remote sensing and machine learning approaches into modelling, we explored the biological and physical pathways by which both climate change and human activities (e.g., ecological restoration, cropland expansion, and urbanization) have altered the Chinese terrestrial ecosystem, including the vegetation cover, surface heat fluxes, water flux and finally, vegetation carbon sequestration (i.e., gross and net primary production, GPP and NPP). During 2001~2018, GPP in China increased significantly at a rate of 49.1~53.1 TgC/yr2, and the climatic and anthropogenic contributions to GPP gains were comparable (48%~56% vs. 44%~52%). Spatially, afforestation dominated the forest cover expansions in the farming-pastoral ecotone in northern China, the Loess Plateau and the southwest karst region, while climate change promoted vegetation cover in most parts of southeastern China. Meanwhile, the NPP trend (22.4~24.9 TgC/yr2) during 2001~2018 was highly attributed to human disturbances (71%~81%), particularly in southern, eastern and northeastern China. The increases in both GPP and NPP both accelerated after 2010. This is because that over 2001~2010, the anthropogenic NPP gains were generally offset by the negative climatic impact in southern China. However, after 2010, the climatic influence reversed, becoming positive, thus magnifying the positive impact of ecological restoration.
    Type: Dataset
    Format: application/zip, 6.1 GBytes
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  • 3
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 733 (1994), S. 0 
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 177 (1956), S. 624-625 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Our present preliminary observations indicate that the salivary glands play an important part in regulating the activity of the thyroids of the mouse and the rat. We employed adult male mice (N.I.H.) weighing 25 ± 1 gm. throughout. Animals were housed in conventional cages in a room the ...
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 187 (1960), S. 778-780 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Animal care, feeding, size and preparation were the same as previously described2. The thyrotrophic hormone, given by Dr. S. Steelman of the Armour Laboratories, was labelled with iodine-131 by conventional methods5 with only minor changes. Carrier iodine-127 was kept minimal so that the final ...
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Physics Letters B 294 (1992), S. 177-185 
    ISSN: 0370-2693
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 101 (1995), S. 363-369 
    ISSN: 1432-2064
    Keywords: 35P15 ; 58C50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In this note, we adopt a probabilistic method for estimating the first Dirichlet eigenvalue. The results improve or contain some known ones, especially for large dimension. Moreover, our estimates are sharp for some typical cases.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 108 (1997), S. 87-101 
    ISSN: 1432-2064
    Keywords: Mathematics Subject Classification (1991): 35S15 ; 60J60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. This paper presents some explicit lower bound estimates of logarithmic Sobolev constant for diffusion processes on a compact Riemannian manifold with negative Ricci curvature. Let Ric≧−K for some K〉0 and d, D be respectively the dimension and the diameter of the manifold. If the boundary of the manifold is either empty or convex, then the logarithmic Sobolev constant for Brownian motion is not less than max {(d d+2) d 1 2(d+1)D 2 exp [−1−(3d+2)D 2 K],     (d−1 d+1) d K exp [−4D√d K]} . Next, the gradient estimates of heat semigroups (including the Neumann heat semigroup and the Dirichlet one) are studied by using coupling method together with a derivative formula modified from [11]. The resulting estimates recover or improve those given in [7, 21] for harmonic functions.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 109 (1997), S. 417-424 
    ISSN: 1432-2064
    Keywords: AMS Subject Classification (1991): 35P15 ; 60J60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. This paper presents a dimension-free Harnack type inequality for heat semigroups on manifolds, from which a dimension-free lower bound is obtained for the logarithmic Sobolev constant on compact manifolds and a new criterion is proved for the logarithmic Sobolev inequalities (abbrev. LSI) on noncompact manifolds. As a result, it is shown that LSI may hold even though the curvature of the operator is negative everywhere.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 178 (1956), S. 1395-1396 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Preliminary experimentation (Table 1) showed that the thyroids of intact rats would take up 16.3 per cent more phosphorus-32 when treated with thyroid-stimulating hormone (50 µgm. per 100 gm. body-weight), whereas the thyroids of sialoadenectomized rats take up 53.7 per cent more ...
    Type of Medium: Electronic Resource
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