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Adaptive block modeling of time dependent variations of datum reference points in a tectonically active area / Chun-Yun Chou in Survey review, vol 54 n° 386 (September 2022)  

Public [article]  inSurvey review > vol 54 n° 386 (September 2022) . - pp 404 - 419 Titre : Adaptive block modeling of time dependent variations of datum reference points in a tectonically active area Type de document : Article/Communication Auteurs : Chun-Yun Chou, Auteur ; Jen-Yu Han, Auteur Année de publication : 2022 Article en page(s) : pp 404 - 419 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Systèmes de référence et réseaux [Termes IGN] analyse de groupement [Termes IGN] angle d'Euler [Termes IGN] champ de vitesse [Termes IGN] Cinématique [Termes IGN] collocation par moindres carrés [Termes IGN] données GNSS [Termes IGN] formule d'Euler [Termes IGN] matrice de covariance [Termes IGN] rotation [Termes IGN] série temporelle [Termes IGN] station GNSS [Termes IGN] système de référence local [Termes IGN] Taïwan [Termes IGN] tectonique des plaques [Termes IGN] variation temporelle Résumé : (auteur) Although a dynamic or semi-dynamic datum has been adopted in some countries, it remains a challenge if a long-term stable datum is to be established in a tectonic active area. This study presents an approach to realistically reflect the time dependent behaviors of ground reference points while maintaining the long-term stability of a datum. An adaptive approach coupled with the Euler motion model is proposed for dividing an area into blocks. A least-squares collocation is then applied for modeling the residual velocities in each block. A case study using the data from 375 continuously operated GNSS stations in Taiwan is presented. It is illustrated that the complex surface kinematics in this region can be divided into three blocks. Significant reductions up to 64% of residual velocities were obtained. This shows that a stable datum can be established in a region with active and complicated surface kinematics by implementing the proposed. Numéro de notice : A2022-658 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1080/00396265.2021.1949194 Date de publication en ligne : 12/07/2021 En ligne : https://doi.org/10.1080/00396265.2021.1949194 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=101509 [article]

Polynomials: special polynomials and number-theoretical applications / Ákos Pintér (2021)  

Public Titre : Polynomials: special polynomials and number-theoretical applications Type de document : Monographie Auteurs : Ákos Pintér, Éditeur scientifique Editeur : Bâle [Suisse] : Multidisciplinary Digital Publishing Institute MDPI Année de publication : 2021 Importance : 154 p. Format : 17 x 25 cm ISBN/ISSN/EAN : 978-3-0365-0819-1 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Mathématique [Termes IGN] distribution binomiale [Termes IGN] équation polynomiale [Termes IGN] fonction de base radiale [Termes IGN] formule d'Euler [Termes IGN] interpolation polynomiale [Termes IGN] théorème de Bernstein [Termes IGN] trigonométrie Résumé : (éditeur) Polynomials play a crucial role in many areas of mathematics including algebra, analysis, number theory, and probability theory. They also appear in physics, chemistry, and economics. Especially extensively studied are certain infinite families of polynomials. Here, we only mention some examples: Bernoulli, Euler, Gegenbauer, trigonometric, and orthogonal polynomials and their generalizations. There are several approaches to these classical mathematical objects. This Special Issue presents nine high quality research papers by leading researchers in this field. I hope the reading of this work will be useful for the new generation of mathematicians and for experienced researchers as well. Note de contenu : 1- Two variables Shivley’s matrix polynomial 2- Some symmetric identities for degenerate Carlitz-type (p, q)-Euler numbers and polynomials 3- Symmetric identities for Carlitz-type higher-order degenerate (p, q)-Euler numbers and polynomials 4- Durrmeyer-type generalization of parametric Bernstein operators 5- A collocation method using radial polynomials for solving partial differential equations 6- On the decomposability of the linear combinations of Euler polynomials with odd degrees 7- Structure of approximate roots based on symmetric properties of (p, q)-cosine and (p, q)-sine Bernoulli polynomials 8- Explicit properties of q-cosine and q-sine Euler polynomials containing symmetric structures 9- Certain results for the twice-iterated 2D q-Appell polynomials Numéro de notice : 28632 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Recueil / ouvrage collectif DOI : 10.3390/books978-3-0365-0819-1 En ligne : https://doi.org/10.3390/books978-3-0365-0819-1 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=99635

Exploratory bivariate and multivariate geovisualizations of a social vulnerability index / Georgianna Strode in Cartographic perspectives, n° 95 (July 2020)  

Public [article]  inCartographic perspectives > n° 95 (July 2020) . - 19 p. Titre : Exploratory bivariate and multivariate geovisualizations of a social vulnerability index Type de document : Article/Communication Auteurs : Georgianna Strode, Auteur ; Victor Mesev, Auteur ; Susanne Bleisch, Auteur ; et al., Auteur Année de publication : 2020 Article en page(s) : 19 p. Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Termes IGN] analyse bivariée [Termes IGN] analyse multivariée [Termes IGN] analyse spatiale [Termes IGN] carte thématique [Termes IGN] données socio-économiques [Termes IGN] ethnie [Termes IGN] Floride (Etats-Unis) [Termes IGN] formule d'Euler [Termes IGN] planification stratégique [Termes IGN] prévention [Termes IGN] santé [Termes IGN] signe conventionnel [Termes IGN] sociologie [Termes IGN] vulnérabilité [Vedettes matières IGN] Géovisualisation Résumé : (auteur) In the United States, the Centers for Disease Control and Prevention (CDC) is the national agency that conducts and supports public health research and practice. Among the CDC’s many achievements is the development of a social vulnerability index (SVI) to aid planners and emergency responders when identifying vulnerable segments of the population, especially during natural hazard events. The index includes an overall social vulnerability ranking as well as four individual themes: socioeconomic, household composition & disability, ethnicity & language, and housing & transportation. This makes the SVI dataset multivariate, but it is typically viewed via maps that show one theme at a time. This paper explores a suite of cartographic techniques that can represent the SVI beyond the univariate view. Specifically, we recommend three techniques: (1) bivariate mapping to illustrate overall vulnerability and population density, (2) multivariate mapping using cartographic glyphs to disaggregate levels of the four vulnerability themes, and (3) visual analytics using Euler diagrams to depict overlap between the vulnerability themes. The CDC’s SVI, and by extension, vulnerability indices in other countries, can be viewed in a variety of cartographic forms that illustrate the location of vulnerable groups of society. Viewing data from various perspectives can facilitate the understanding and analysis of the growing amount and complexity of data. Numéro de notice : A2020-750 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE Nature : Article DOI : 10.14714/CP95.1569 Date de publication en ligne : 17/03/2020 En ligne : https://doi.org/10.14714/CP95.1569 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=96404 [article]

Polynomials / Cheon-Seoung Ryoo (2020)  

Public Titre : Polynomials Type de document : Guide/Manuel Auteurs : Cheon-Seoung Ryoo, Éditeur scientifique Editeur : Bâle [Suisse] : Multidisciplinary Digital Publishing Institute MDPI Année de publication : 2020 Importance : 152 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-03943-315-5 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Mathématique [Termes IGN] équation différentielle [Termes IGN] équation polynomiale [Termes IGN] formule d'Euler [Termes IGN] interpolation polynomiale [Termes IGN] Ploynôme [Termes IGN] polynôme d'Hermite [Termes IGN] transformation polynomiale Résumé : (éditeur) Polynomial and its applications are well known for their proven properties and excellent applicability in interdisciplinary fields of science. Until now, research on polynomial and its applications has been done in mathematics, applied mathematics, and sciences. This book is based on recent results in all areas related to polynomial and its applications. This book provides an overview of the current research in the field of polynomials and its applications. The following papers have been published in this volume: ‘A Parametric Kind of the Degenerate Fubini Numbers and Polynomials’; ‘On 2-Variables Konhauser Matrix Polynomials and Their Fractional Integrals’; ‘Fractional Supersymmetric Hermite Polynomials’; ‘Rational Approximation for Solving an Implicitly Given Colebrook Flow Friction Equation’; ‘Iterating the Sum of Möbius Divisor Function and Euler Totient Function’; ‘Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations’; ‘Truncated Fubini Polynomials’; ‘On Positive Quadratic Hyponormality of a Unilateral Weighted Shift with Recursively Generated by Five Weights’; ‘Ground State Solutions for Fractional Choquard Equations with Potential Vanishing at Infinity’; ‘Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials’; ‘Some Identities Involving Hermite Kampé de Fériet Polynomials Arising from Differential Equations and Location of Their Zeros.’ Note de contenu : 1- A parametric kind of the degenerate fubini numbers and polynomials 2- On 2-variables konhauser matrix polynomials and their fractional integrals 3- Fractional supersymmetric hermite polynomials 4- Rational approximation for solving an implicitly given colebrook flow friction equation 5- Iterating the sum of mobius divisor function and Euler Totient function 6- Differential equations arising from the generating function of the (r, β)-bell polynomials and distribution of zeros of equations 7- Truncated Fubini polynomials 8- On positive quadratic hyponormality of a unilateral weighted shift with recursively generated by five weights 9- Ground state solutions for fractional Choquard equations with potential vanishing at infinity 10- Some identities on degenerate Bernstein and degenerate Euler polynomials 11- Some identities involving Hermite Kampé de Fériet polynomials arising from differential equations and location of their zeros Numéro de notice : 28496 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Recueil / ouvrage collectif DOI : 10.3390/books978-3-03943-315-5 En ligne : https://doi.org/10.3390/books978-3-03943-315-5 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=99245

Relative orientation dependent on dual quaternions / Qing H. Sheng in Photogrammetric record, vol 30 n° 151 (September - November 2015)  

Public [article]  inPhotogrammetric record > vol 30 n° 151 (September - November 2015) . - pp 300 – 317 Titre : Relative orientation dependent on dual quaternions Type de document : Article/Communication Auteurs : Qing H. Sheng, Auteur ; Sa Shao, Auteur ; Hui Xiao, Auteur ; et al., Auteur Année de publication : 2015 Article en page(s) : pp 300 – 317 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Photogrammétrie numérique [Termes IGN] compensation par moindres carrés [Termes IGN] coplanarité [Termes IGN] couple stéréoscopique [Termes IGN] formule d'Euler [Termes IGN] orientation relative [Termes IGN] quaternion [Termes IGN] transformation non linéaire Résumé : (Auteur) A new approach to relative orientation based on dual quaternions is proposed. Dual quaternions are used to express a unified description of the relative position and orientation of two images in a stereopair. The coplanarity condition equation and its linearised model based on dual quaternions are established. According to the principle of least squares adjustment with constraints, a dual quaternion can be identified and the relative-orientation parameters can then be obtained by a non-linear transformation of the components of the dual quaternion. Experimental results show that the proposed approach is feasible and more reliable and efficient than the conventional approach based on Euler angles. Numéro de notice : A2015-564 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Article DOI : 10.1111/phor.12111 Date de publication en ligne : 15/09/2015 En ligne : https://doi.org/10.1111/phor.12111 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=77684 [article]

Exemplaires(1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
106-2015031	RAB	Revue	Centre de documentation	En réserve L003	Disponible

Automatisierung der kartographischen Verdrängung mittels Energieminimierung / Dirk Burghardt (2001)

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Remote sensing and image processing requirements for Eulerian flow field estimations / D.A. Stow in International Journal of Remote Sensing IJRS, vol 9 n° 3 (May 1988)  

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Computing geometric properties of images represented by linear quadtrees / Hanan Samet in IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI, vol 7 n° 2 (01/03/1985)  

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Quadrature numérique / Henri Marcel Dufour (1961)

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Initiation aux méthodes vectorielles et aux applications géométriques de l'analyse à l'usage des élèves de mathématiques spéciales et des élèves des facultés des sciences / G. Bouligand (1926)

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