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Titre : Elementary analysis : the theory of Calculus Type de document : Guide/Manuel Auteurs : Kenneth A. Ross, Auteur Mention d'édition : 2ème édition Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 2013 Collection : Undergraduate Texts in Mathematics UTM, ISSN 0172-6056 Importance : 409 p. ISBN/ISSN/EAN : 978-1-4614-6271-2 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] série mathématique
[Termes IGN] théorème de TaylorRésumé : (Auteur) For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.
The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.Note de contenu : - Introduction
- Sequences
- Continuity
- Sequences and Series of Functions
- Differentiation
- Integration
- CapstoneNuméro de notice : 26295 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel de cours DOI : 10.1007/978-1-4614-6271-2 En ligne : https://doi.org/10.1007/978-1-4614-6271-2 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=95000 Introduction au calcul des probabilités et à la statistique / Jean-François Delmas (2013)
Titre : Introduction au calcul des probabilités et à la statistique : exercices, problèmes et corrections Type de document : Guide/Manuel Auteurs : Jean-François Delmas, Auteur Mention d'édition : 2 Editeur : Palaiseau : Presses de l'ENSTA Année de publication : 2013 Collection : Les cours Importance : 415 p. Format : 17 x 24 cm ISBN/ISSN/EAN : 978-2-7225-0944-3 Langues : Français (fre) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] arc
[Termes IGN] distribution de Gauss
[Termes IGN] estimateur
[Termes IGN] estimation statistique
[Termes IGN] intervalle de classe
[Termes IGN] variable aléatoireRésumé : (Editeur) Cet ouvrage d'exercices et de problèmes corrigés se fixe pour but d'illustrer les concepts de base des probabilités et de la statistique mathématique présentés dans l'ouvrage introduction au calcul des probabilités et à la statistique. Il présente des exercices de manipulation qui permettent d'appréhender les concepts du cours (variables aléatoires, théorèmes asymptotiques, modèles gaussiens, estimations paramétriques, tests, régions de confiance). Il comporte également une part importante d'exercices et de problèmes de modélisation avec des applications diverses dans plusieurs domaines scientifiques (mathématiques, physique, sciences de l'ingénieur, sciences du vivant, économie). Note de contenu : 1. Espaces probabilisés
2. Variables aléatoires discrètes
3. Variables aléatoires continues
4. Fonctions caractéristiques
5. Théorèmes limites
6. Vecteurs gaussiens
7. Simulation
8. Estimateurs
9. Tests
10. Intervalles et régions de confiance
11. Problèmes (probabilités)
12. Problèmes (probabilités et statistique)
13. CorrectionsNuméro de notice : 22085 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel de cours Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=47091 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 22085-01 23.60 Livre Centre de documentation Mathématiques Disponible Fourier-series representation and projection of spherical harmonic functions / H. Cheong in Journal of geodesy, vol 86 n° 11 (November 2012)
[article]
Titre : Fourier-series representation and projection of spherical harmonic functions Type de document : Article/Communication Auteurs : H. Cheong, Auteur ; J. Park, Auteur ; H. Kang, Auteur Année de publication : 2012 Article en page(s) : pp 975 - 990 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] harmonique sphérique
[Termes IGN] relief sous-marin
[Termes IGN] série de Fourier
[Termes IGN] théorème de Legendre
[Termes IGN] varianceRésumé : (Auteur) Computations of Fourier coefficients and related integrals of the associated Legendre functions with a new method along with their application to spherical harmonics analysis and synthesis are presented. The method incorporates a stable three-step recursion equation that can be processed separately for each colatitudinal Fourier wavenumber. Recursion equations for the zonal and sectorial modes are derived in explicit single-term formulas to provide accurate initial condition. Stable computations of the Fourier coefficients as well as the integrals needed for the projection of Legendre functions are demonstrated for the ultra-high degree of 10,800 corresponding to the resolution of one arcmin. Fourier coefficients, computed in double precision, are found to be accurate to 15 significant digits, indicating that the normalized error is close to the machine round-off error. The orthonormality, evaluated with Fourier coefficients and related integrals, is shown to be accurate to O(10-15) for degrees and orders up to 10,800. The Legendre function of degree 10,800 and order 5,000, synthesized from Fourier coefficients, is accurate to the machine round-off error. Further extension of the method to even higher degrees seems to be realizable without significant deterioration of accuracy. The Fourier series is applied to the projection of Legendre functions to the high-resolution global relief data of the National Geophysical Data Center of the National Oceanic and Atmospheric Administration, and the spherical harmonic degree variance (power spectrum) of global relief data is discussed. Numéro de notice : A2012-576 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-012-0558-3 Date de publication en ligne : 11/04/2012 En ligne : https://doi.org/10.1007/s00190-012-0558-3 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=32022
in Journal of geodesy > vol 86 n° 11 (November 2012) . - pp 975 - 990[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 266-2012111 RAB Revue Centre de documentation En réserve L003 Disponible A fast and automatic sparse deconvolution in the presence of outliers / A. Gholami in IEEE Transactions on geoscience and remote sensing, vol 50 n° 10 Tome 2 (October 2012)
[article]
Titre : A fast and automatic sparse deconvolution in the presence of outliers Type de document : Article/Communication Auteurs : A. Gholami, Auteur ; M. Sacchi, Auteur Année de publication : 2012 Article en page(s) : pp 4105 - 4116 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] déconvolution
[Termes IGN] séisme
[Termes IGN] valeur aberranteRésumé : (Auteur) We present an efficient deconvolution method to retrieve sparse reflectivity series from seismic data in the presence of additive Gaussian and non-Gaussian noise. The problem is first formulated as an unconstrained optimization including a mixed lp - l1 measure for the data misfit and for the model regularization term, respectively. An efficient algorithm based on the alternating split Bregman technique is developed, and a numerical procedure based on the generalized cross-validation (GCV) technique is presented for the selection of the corresponding regularization parameter. To circumvent excessive computations of multiple optimizations to determine the minimizer of GCV curve, we formulate the deconvolution problem in the frequency domain as a basis pursuit denoising and solve it using the split Bregman algorithm with computational complexity O(Nlog(N)). Apart from significant stability against outliers in the data, the main advantage of such formulation is that the GCV curve can be generated during the iterations of the optimization procedure. The minimizer of the GCV curve is then used to properly determine the error bound in the data and hence the optimum number of iterations. Numerical experiments show that the proposed method automatically generates high-resolution solutions by only a few iterations needless of any prior knowledge about the noise in the data. Numéro de notice : A2012-529 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1109/TGRS.2012.2189777 Date de publication en ligne : 17/04/2012 En ligne : https://doi.org/10.1109/TGRS.2012.2189777 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=31975
in IEEE Transactions on geoscience and remote sensing > vol 50 n° 10 Tome 2 (October 2012) . - pp 4105 - 4116[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 065-2012101B MANQUANT Revue Centre de documentation Indéterminé Disponible Large-scale dynamics of a heterogeneous forest resource are driven jointly by geographically varying growth conditions, tree species composition and stand structure / Holger Wernsdörfer in Annals of Forest Science, Vol 69 n° 7 (October 2012)
[article]
Titre : Large-scale dynamics of a heterogeneous forest resource are driven jointly by geographically varying growth conditions, tree species composition and stand structure Type de document : Article/Communication Auteurs : Holger Wernsdörfer, Auteur ; Antoine Colin , Auteur ; Jean-Daniel Bontemps , Auteur ; Hélène Chevalier, Auteur ; Gérôme Pignard, Auteur ; Sylvain Caurla, Auteur ; Jean-Michel Leban , Auteur ; Jean-Christophe Hervé (1961-2017) , Auteur ; Meriem Fournier, Auteur Année de publication : 2012 Article en page(s) : pp 829 - 844 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] composition floristique
[Termes IGN] croissance des arbres
[Termes IGN] espèce végétale
[Termes IGN] gestion forestière durable
[Termes IGN] grande échelle
[Termes IGN] inventaire forestier national (données France)
[Termes IGN] strate végétaleRésumé : (auteur) Context: Forest resource projections are required as part of an appropriate framework for sustainable forest management. Suitable large-scale projection models are usually based on national forest inventory (NFI) data. However, sound projections are difficult to make for heterogeneous resources as they vary greatly with respect to the factors that are assumed to drive forest dynamics on a large spatial scale, e.g. geographically varying growth conditions (here represented by NFI regions), tree species composition (here broadleaf-dominated, conifer-dominated and broadleaf-conifer mixed stands) and stand structure (here high forest, coppice forest and high-coppice forest mixture).
Question and objective: Our question was how does the variance of forest dynamics parameters (i.e. growth, felling and mortality, and recruitment processes) and that of 20-year forest resource projections partition between these factors (NFI region, tree species composition and stand structure), including their interactions. Our objective was to capitalise on the suitability of an existing multi-strata, diameter class matrix model for the purposes of making projections for the highly heterogeneous French forest resource.
Methods: The model was newly calibrated for the entire territory of metropolitan France based on most recent NFI data, i.e. for years 2006–2008. The forest resource was divided into strata by crossing the factors NFI region, tree species composition and stand structure. The variance partitioning of the parameters and projections was assessed based on a model sensitivity analysis.
Results: Growth, felling and mortality varied mainly with NFI region and species composition. Recruitment varied mainly with NFI region and stand structure. All three factors caused variations in resource projections, but with unequal intensities. Factor impacts included first order and interaction effects.
Conclusions: We found, by considering both first order and interaction effects, that NFI region, species composition and stand structure are ecologically relevant factors that jointly drive the dynamics of a heterogeneous forest resource. Their impacts, in our study, varied depending on the forest dynamics process under consideration. Recruitment would appear to have a particularly great impact on resource changes over time.Numéro de notice : A2012-717 Affiliation des auteurs : IGN+Ext (2012-2019) Thématique : FORET Nature : Article DOI : 10.1007/s13595-012-0196-1 Date de publication en ligne : 22/03/2012 En ligne : https://doi.org/10.1007/s13595-012-0196-1 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=75562
in Annals of Forest Science > Vol 69 n° 7 (October 2012) . - pp 829 - 844[article]Root mean square error compared to, and contrasted with, standard deviation / Thomas H. Meyer in SaLIS Surveying and land information science, vol 72 n° 3 (September 2012)PermalinkA non-asymptotic sigmoid growth curve for top height growth in forest stands / Jean-Daniel Bontemps in Forestry, an international journal of forest research, vol 85 n° 3 (July 2012)PermalinkPermalinkParametric, bootstrap, and jackknife variance estimators for the k-Nearest Neighbors technique with illustrations using forest inventory and satellite image data / Ronald E. McRoberts in Remote sensing of environment, vol 115 n° 12 (december 2011)PermalinkUsing landscape characteristics to define an adjusted distance metric for improving kriging interpolations / S. Lyon in International journal of geographical information science IJGIS, vol 24 n° 5-6 (may 2010)PermalinkPermalinkNouvelles méthodes probabilistes pour l'évaluation des risques / B. Beauzamy (2010)PermalinkA neural network-based method for solving "nested hierarchy" areal interpolation problems / D. Merwin in Cartography and Geographic Information Science, vol 36 n° 4 (October 2009)PermalinkRewiew of non-parametric models for dam deformation analysis in China / N. Deng in Geomatica, vol 63 n° 3 (September 2009)PermalinkPermalink