Mathématiques最新文献

{"title":"Transformations fonctionnelles","authors":"M. Cessenat","doi":"10.51257/a-v1-a1240","DOIUrl":"https://doi.org/10.51257/a-v1-a1240","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116172173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Cryptographie - Mathématiques","authors":"Guy Chassé","doi":"10.51257/a-v1-af172","DOIUrl":"https://doi.org/10.51257/a-v1-af172","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122702319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Algèbre linéaire","authors":"Gérard Debeaumarche, Danièle Lino","doi":"10.51257/a-v1-af85","DOIUrl":"https://doi.org/10.51257/a-v1-af85","url":null,"abstract":"1. Espaces vectoriels réels ou complexes. Définition 1.1 : K-espace vectoriel Définition 1.2 : (hors programme) K-algèbre Théorème 1.1 : exemples Définition 1.3 : combinaison linéaire de vecteurs Définition 1.4 : sous-espace vectoriel d'un espace vectoriel Théorème 1.2 : caractérisation d'un sous-espace vectoriel Théorème 1.3 et définition 1.5 : espace vectoriel produit 2. Combinaisons linéaires et familles. Définition 2.1 : famille libre de vecteurs Définition 2.2 : famille liée de vecteurs Théorème 2.1 : caractérisation des familles liées Théorème 2.2 : cas où l'un des vecteurs de la famille est nul Théorème 2.3 : famille de polynômes de degrés échelonnés Définition 2.3 : rang d'une famille de vecteurs Définition 2.4 : sous-espace vectoriel engendré par une famille de vecteurs Théorème 2.4 : caractérisation d'un sous-espace vectoriel engendré Définition 2.5 : base d'un K-espace vectoriel 3. Espaces vectoriels de dimension finie. Définition 3.1 : espace vectoriel de dimension finie Théorème 3.1 : de l'échange Théorème 3.2 : existence de bases dans un espace vectoriel de dimension finie Définition 3.2 : dimension d'un K-espace vectoriel Théorème 3.3 : cardinal des familles libres ou génératrices dans un espace vectoriel de dimension finie Théorème 3.4 : de la base incomplète Théorème 3.5 : dimension d'un sous-espace vectoriel dans un espace vectoriel de dimension finie Théorème 3.6 : caractérisation du rang d'une famille de vecteurs Théorème 3.7 : égalité de sous-espaces vectoriels dans un espace vectoriel de dimension finie 4. Applications linéaires. Définition 4.1 : application linéaire entre K-espaces vectoriels, L(E,F) Théorème 4.1 : structure de K-espace vectoriel de L(E,F) Définition 4.2 : (hors programme) le groupe linéaire d'un espace vectoriel Définition 4.3 : morphisme, endomorphisme, isomorphisme, automorphisme Définition 4.4 : image et noyau d'une application linéaire Théorème 4.2 : image et noyau d'un morphisme sont des sous-espaces vectoriels Théorème 4.3 : caractérisation de l'injectivité et de la surjectivité Théorème 4.4 : caractérisation d'une application linéaire par son action sur une somme directe Théorème 4.5 : isomorphisme entre l'image d'un morphisme et un supplémentaire de son noyau 5. Applications linéaires en dimension finie.","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117141787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Distributions - Applications","authors":"M. Doisy","doi":"10.51257/a-v1-af146","DOIUrl":"https://doi.org/10.51257/a-v1-af146","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134179991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Corps des nombres réels","authors":"Gérard Debeaumarche","doi":"10.51257/a-v1-af35","DOIUrl":"https://doi.org/10.51257/a-v1-af35","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"198 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127311919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Analyse fonctionnelle - Partie 1","authors":"G. Godefroy","doi":"10.51257/a-v1-af100","DOIUrl":"https://doi.org/10.51257/a-v1-af100","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129480010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Intégration","authors":"Danièle Lino, Bernard Rande","doi":"10.51257/a-v1-a110","DOIUrl":"https://doi.org/10.51257/a-v1-a110","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131226329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Cryptographie - Algorithmes","authors":"Guy Chassé","doi":"10.51257/a-v1-af173","DOIUrl":"https://doi.org/10.51257/a-v1-af173","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131440949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Estimation fonctionnelle","authors":"D. Bosq","doi":"10.51257/a-v1-af603","DOIUrl":"https://doi.org/10.51257/a-v1-af603","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132047079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Géométrie projective","authors":"G. Albrecht","doi":"10.51257/a-v1-af206","DOIUrl":"https://doi.org/10.51257/a-v1-af206","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132392022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}