57562c0f6cdcca52cc83b249f04c42c9 matmat_a2020a3.pdf aad0974021d03bb5c3e8436bc8bfd5c5e0a77963 matmat_a2020a3.pdf 5ec883eab72c66aa596918eb7957e26abb1a71cd2de51aa8305f43c138e09206 matmat_a2020a3.pdf Title: Subject: Keywords: Author: Creator: LaTeX with hyperref Producer: pdfTeX-1.40.20 CreationDate: Wed Dec 16 11:37:04 2020 CET ModDate: Wed Dec 16 11:37:04 2020 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 35 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 1227091 bytes Optimized: no PDF version: 1.5 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- OYJAAH+SFBI2488 Type 1 Custom yes yes no 222 0 JLUFKB+CMBX12 Type 1 Builtin yes yes no 223 0 WLKBZM+SFBX0800 Type 1 Custom yes yes no 224 0 QVQIYQ+SFRM0800 Type 1 Custom yes yes no 225 0 QENAWA+SFTT0800 Type 1 Custom yes yes no 226 0 EGUIUM+SFBX1728 Type 1 Custom yes yes no 227 0 EKAMOI+SFBX1095 Type 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SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 0 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Outlines: Item: Title: Introducció Item: Title: El conjunt de Cantor Children: Item: Title: Notació dels intervals Item: Title: Representacions binàries i ternàries dels nombres decimals Children: Item: Title: El sistema binari Children: Item: Title: Nombres amb dues expressions binàries Item: Title: El sistema ternari Item: Title: Algunes propietats del conjunt de Cantor Children: Item: Title: Representació ternària dels elements del conjunt de Cantor Item: Title: El conjunt de Cantor té mesura de Lebesgue zero Item: Title: El conjunt de Cantor té el mateix cardinal que [0,1] Item: Title: La funció de Cantor Children: Item: Title: La funció de Cantor com extensió de bold0mu mumu HHHalmosHHHH Item: Title: Definició explícita de la funció de Cantor Item: Title: La funció de Cantor com a límit d'una successió de funcions senzilles Item: Title: Propietats de la funció de Cantor Children: Item: Title: bold0mu mumu F(0)=0F(0)=0DovF(0)=0F(0)=0F(0)=0F(0)=0 i bold0mu mumu F(1)=1F(1)=1DovF(1)=1F(1)=1F(1)=1F(1)=1 Item: Title: F és no decreixent Item: Title: bold0mu mumu FFDovFFFF és contínua Item: Title: bold0mu mumu FFDovFFFF és derivable en quasi tots els punts i (en aquests punts) bold0mu mumu F'(x)=0F'(x)=0DovF'(x)=0F'(x)=0F'(x)=0F'(x)=0 Item: Title: El gràfic de la funció bold0mu mumu FFDovFFFF és simètric respecte el punt bold0mu mumu ( epic12, epic12)( epic12, epic12)Dov( epic12, epic12)( epic12, epic12)( epic12, epic12)( epic12, epic12) Item: Title: Una caracterització de la funció de Cantor Item: Title: La distribució de Cantor Children: Item: Title: Variables aleatòries i funcions de distribució Item: Title: Definició de la distribució de Cantor Item: Title: Propietats de la distribució de Cantor Children: Item: Title: La distribució de Cantor està concentrada en el conjunt de Cantor Item: Title: Equiprobabilitat en cada nivell Item: Title: La variable aleatòria bold0mu mumu 1-X1-Xsanz1-X1-X1-X1-X també té distribució de Cantor Item: Title: Autosemblança de la distribució de Cantor Item: Title: Moments d'una variable aleatòria Item: Title: Moments de la distribució de Cantor Item: Title: Càlcul de l'esperança de la distribució de Cantor Item: Title: Càlcul del moment de 2n. ordre i de la variància de la distribució de Cantor Item: Title: Moments d'ordre superior. Una recurrència pels moments de la distribució de Cantor Item: Title: Funcions característiques Item: Title: La funció característica de la distribució de Cantor Item: Title: La distribució de Cantor i les mesures de Hausdorff i de Haar Children: Item: Title: La distribució de Cantor a C Item: Title: Distribució de Cantor i mesura de Hausdorff Item: Title: Distribució de Cantor i mesura de Haar Item: Title: Simulació de la distribució de Cantor Item: Title: Passejades aleatòries Item: Title: La distribució de Cantor com a límit d'una passejada aleatòria Children: Item: Title: Demostració que bold0mu mumu SSChungSSSS té la distribució de Cantor Item: Title: La distribució de Cantor com a límit de variables discretes uniformes Item: Title: Les propietats de la distribució de Cantor revisitades Children: Item: Title: La distribució de Cantor està concentrada en el conjunt de Cantor Item: Title: Equiprobabilitat en cada nivell Item: Title: La distribució de Cantor és simètrica respecte el 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