Error message

  • Deprecated function: Return type of DatabaseStatementBase::execute($args = [], $options = []) should either be compatible with PDOStatement::execute(?array $params = null): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2244 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
  • Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in drupal_random_bytes() (line 2268 of /home/lamsade/www/projets_conf/poc/includes/bootstrap.inc).
  • Deprecated function: Return type of DateObject::__wakeup() should either be compatible with DateTime::__wakeup(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 158 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Return type of DateObject::format($format, $force = false) should either be compatible with DateTime::format(string $format): string, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 158 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Return type of DateObject::setTimezone($tz, $force = false) should either be compatible with DateTime::setTimezone(DateTimeZone $timezone): DateTime, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 158 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property SelectQuery::$alterTags is deprecated in SelectQuery->addTag() (line 978 of /home/lamsade/www/projets_conf/poc/includes/database/select.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: rtrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2349 of /home/lamsade/www/projets_conf/poc/includes/common.inc).
  • Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in _filter_url_trim() (line 1664 of /home/lamsade/www/projets_conf/poc/modules/filter/filter.module).
  • Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
  • Deprecated function: Creation of dynamic property SelectQuery::$alterTags is deprecated in SelectQuery->addTag() (line 978 of /home/lamsade/www/projets_conf/poc/includes/database/select.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in _filter_url_trim() (line 1664 of /home/lamsade/www/projets_conf/poc/modules/filter/filter.module).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: strpos(): Passing null to parameter #1 ($haystack) of type string is deprecated in url_is_external() (line 2393 of /home/lamsade/www/projets_conf/poc/includes/common.inc).
  • Deprecated function: str_replace(): Passing null to parameter #3 ($subject) of type array|string is deprecated in url_is_external() (line 2395 of /home/lamsade/www/projets_conf/poc/includes/common.inc).
  • Deprecated function: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2311 of /home/lamsade/www/projets_conf/poc/includes/common.inc).
  • Deprecated function: Creation of dynamic property SelectQuery::$alterTags is deprecated in SelectQuery->addTag() (line 978 of /home/lamsade/www/projets_conf/poc/includes/database/select.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property SelectQuery::$alterTags is deprecated in SelectQuery->addTag() (line 978 of /home/lamsade/www/projets_conf/poc/includes/database/select.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
  • Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).

Cours doctoral "Fonctions sous-modulaires"

Date: 
Monday, 24 June, 2013 to Wednesday, 26 June, 2013

 

Ces cours sont gratuits. Ils offrent la possibilité de faire éventuellement valider un module d’école doctorale. La demande devra pour cela être faite auprès de l’école doctorale de votre université.

Intervenants

Tom McCormick et Maurice Queyranne (University of British Columbia, Sauder School of Business)

Fonctions sous-modulaires

Les fonctions d’ensembles assignent des valeurs réelles ou rationnelles aux parties d’un ensemble donné. Les fonctions sous-modulaires sont des fonctions d’ensembles qui satisfont une propriété (sous-modularité) de valeur marginales décroissantes. Ces fonctions sous-modulaires sont intéressantes pour leurs nombreuses applications à une grande variété de domaines, ainsi que pour leurs propriétés, en particulier dans le cadre de problèmes d’optimisation discrète.

Documents

Plan du cours

Slides partie 1

Slides partie 2

Homework

Survey Fonctions sous-modulaires Tom McCormick

Dates

Accueil : lundi 24 juin de 11h30 à 12h30.

Lundi 24 juin 14h00 - 18h00
Mardi 25 juin 8h30 - 12h30
  14h00 - 18h00
Mercredi 26 juin 8h30 - 12h30

Lieu

Les cours doctoraux, comme les journées JPOC 8, auront lieu sur le Complexe scientifique des Cézeaux, dans le Pôle Commun Polytech-ISIMA de l’Université Blaise Pascal accessible aisément par le tramway (Arrêt Cézeaux Pellez) : pour plus d’informations voir le site des journées JPOC 8

Inscription

Voir site des journées JPOC 8