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See detailMathematical visualization of the Anadyr Western Boundary Current and the associated frontal structures in the Northern Bering Sea
Nihoul, Jacques ULg; Djenidi, Salim ULg; Deleersnijder, Eric et al

in EOS : Transactions, American Geophysical Union (1990), 71(2), 189

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See detailThe Mathematics of Peter L. Hammer (1936-2006): Graphs, Optimization, and Boolean Models
Boros, Endre; Crama, Yves ULg; De Werra, Dominique et al

in Boros, Endre; Crama, Yves; De Werra, Dominique (Eds.) et al The Mathematics of Peter L. Hammer (1936-2006): Graphs, Optimization, and Boolean Models (2011)

This volume of the Annals of Operations Research, contains a collection of papers published in memory of Peter L. Hammer. As we recall further down, Peter made substantial contributions to several areas ... [more ▼]

This volume of the Annals of Operations Research, contains a collection of papers published in memory of Peter L. Hammer. As we recall further down, Peter made substantial contributions to several areas of operations research and discretemathematics, including, in particular, mathematical programming (linear and quadratic 0–1 programming, pseudo-Boolean optimization, knapsack problems, etc.), combinatorial optimization (transportation problems, network flows, MAXSAT, simple plant location, etc.), graph theory (special classes of graphs, stability problems, and their applications), data mining and classification (Logical Analysis of Data), and, last but not least, Boolean theory (satisfiability, duality, Horn functions, threshold functions, and their applications). [less ▲]

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See detailThe Mathematics of Peter L. Hammer (1936-2006): Graphs, Optimization, and Boolean Models
Boros, Endre; Crama, Yves ULg; de Werra, Dominique et al

in Annals of Operations Research (2011), 188

This volume contains a collection of papers published in memory of Peter L. Hammer (1936-2006). Peter Hammer made substantial contributions to several areas of operations research and discrete mathematics ... [more ▼]

This volume contains a collection of papers published in memory of Peter L. Hammer (1936-2006). Peter Hammer made substantial contributions to several areas of operations research and discrete mathematics, including, in particular, mathematical programming (linear and quadratic 0--1 programming, pseudo-Boolean optimization, knapsack problems, etc.), combinatorial optimization (transportation problems, network flows, MAXSAT, simple plant location, etc.), graph theory (special classes of graphs, stability problems, and their applications), data mining and classification (Logical Analysis of Data), and, last but not least, Boolean theory (satisfiability, duality, Horn functions, threshold functions, and their applications). The volume contains 23 contributed papers along these lines. [less ▲]

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See detailMathematics of the total alkalinity–pH equation – pathway to robust and universal solution algorithms: the SolveSAPHE package v1.0.1
Munhoven, Guy ULg

in Geoscientific Model Development [=GMD] (2013), 6

The total alkalinity–pH equation, which relates total alkalinity and pH for a given set of total concentrations of the acid–base systems that contribute to total alkalinity in a given water sample, is ... [more ▼]

The total alkalinity–pH equation, which relates total alkalinity and pH for a given set of total concentrations of the acid–base systems that contribute to total alkalinity in a given water sample, is reviewed and its mathematical properties established. We prove that the equation function is strictly monotone and always has exactly one positive root. Different commonly used approximations are discussed and compared. An original method to derive appropriate initial values for the iterative solution of the cubic polynomial equation based upon carbonate-borate-alkalinity is presented. We then review different methods that have been used to solve the total alkalinity–pH equation, with a main focus on biogeochemical models. The shortcomings and limitations of these methods are made out and discussed. We then present two variants of a new, robust and universally convergent algorithm to solve the total alkalinity–pH equation. This algorithm does not require any a priori knowledge of the solution. SolveSAPHE (Solver Suite for Alkalinity-PH Equations) provides reference implementations of several variants of the new algorithm in Fortran 90, together with new implementations of other, previously published solvers. The new iterative procedure is shown to converge from any starting value to the physical solution. The extra computational cost for the convergence security is only 10–15% compared to the fastest algorithm in our test series. [less ▲]

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See detailMathematics Teaching and Learning Strategies
Crocker, R.; Glickman, V.; Levin, B. et al

Book published by OECD (2010)

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See detailLa mathématique de la Bible
Fredericq, Léon ULg

in Revue de Belgique (1912), (20), 926-930

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See detailMathématique et Codes secrets
Pays, Isabelle ULg

Scientific conference (1993)

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See detailMathématique et culture numérique : supports aux nouvelles formes d’expression architecturale
Jancart, Sylvie ULg; Stals, Adeline ULg; Gallas, Mohamed-Anis

in Goulette, Jean-Pierre, Ferries, Bernard (Ed.) Actes du Séminaire de Conception Architecturale Numérique (in press)

Les mathématiques occupent une place importante dans les procédés de conception et de matérialisation qui caractérisent l’architecture non standard. Cette forme d’expression architecturale fait appel à un ... [more ▼]

Les mathématiques occupent une place importante dans les procédés de conception et de matérialisation qui caractérisent l’architecture non standard. Cette forme d’expression architecturale fait appel à un enchainement de dispositifs numériques matérialisant ainsi le concept de continuum numérique. Dans ce sens, il est important de réduire l’écart qui se crée entre les possibilités techniques actuelles et les connaissances mathématiques utilisées dans les nou-velles méthodes de conception. Cet article propose une analyse des interactions entre deux disciplines, la géométrie architecturale et les supports numériques appliqués de la conception à la fabrication, ainsi que l’intérêt de leur intégration dans les démarches de conception architecturales actuelles. [less ▲]

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See detailMathématique pour économistes et gestionnaires
Esch, Louis ULg

Book published by De Boeck Université - 1ère éd. (1992)

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See detailMathématique pour économistes et gestionnaires
Esch, Louis ULg

Book published by De Boeck Université - 3ème éd. (2006)

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See detailMathématique pour économistes et gestionnaires
Esch, Louis ULg

Book published by De Boeck Université - 2ème éd. (1999)

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See detailMathématique pour économistes et gestionnaires
Esch, Louis ULg

Book published by De Boeck Université - 4ème éd. (2010)

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See detailMathématique, quelle psychologie pour quel enseignement
Beckers, Jacqueline ULg

in Education : tribune libre (1988), 211

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See detailLes mathématiques à l’honneur à MT180
Favart, Evelyne ULg; Haesbroeck, Gentiane ULg; Kreusch, Marie ULg

Article for general public (2015)

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See detailMathématiques convoquées par le registre graphique au sein du cours de physique
Renkens, Céline; Henry, Valérie ULg

in Quaderni di Ricerca in didattica (2014), 24(1), 388

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See detailMathématiques Élémentaires -- Condensé
Merciadri, Luca ULg

E-print/Working paper (2009)

This document is a kind of Math. formula's form. It is majoritarly coming from a volonty of classifying these last so they are easily accessible. Firstly, this document was redacted in order to be ... [more ▼]

This document is a kind of Math. formula's form. It is majoritarly coming from a volonty of classifying these last so they are easily accessible. Firstly, this document was redacted in order to be prepared to the engineering studies (at ULg). Many sections have been added, and it is equivalent to a first-year Math. course for a scientific (who is not a mathematician). For this reason, the text has not been very developped, so this document is as short (and quick) as possible, with no need to read unnecessary sentences which would slow the reading. Principal sentences have been written, to make links, because Math. is not only formula's: speaking is a very important way to communicate ideas and to link concepts, especially in Sciences. Indeed, it would not suffice to copy formula's to redact a summary. It is important to translate them to French too, to ensure their understanding. The aim of this summary is not to assemble mathematical ``tricks.'' Indeed, it would not suffice to apply these ready-made ``recipes'' to have success with the exercises: it would be so easy, and why would there be Math. teachers? Only few proves will be made, to lighten the document; however, formula's will be admitted. Many different notations will be used for the same idea, in order to give the habit of the reader to use different notations (e.g. the notation used for the transposed of a matrix). This synthesis is not comprehensive, and does not pretend to be rigourous. Only the essential chapters and sections have been kept. When prerequisites are necessary, they are announced, even if it is sometimes not possible to develop points before others, because, on one hand, they sometimes call each other, and, on the other hand, some notions have volontarily not been given (limits computing, in Calculus). Indeed, many points are supposed to be known: this document consists only in a set of reminds! [less ▲]

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See detailMathématiques enseignées au secondaire et mathématiques enseignées à l'université. Quelle solidarité ?
Schneider-Gilot, Marguerite ULg

in Carlier; De Kesel; Dufays (Eds.) et al Progression et transversalité (2012)

Detailed reference viewed: 10 (1 ULg)