Theorema Dieudonnéanum Propositum theorematis | Notae | Tabula navigationisAmplifica

Theoremata mathematica


Ioanne Dieudonnémathematicatheoremasumma Minkowskianacopiarum clausarumcopiisspatium localiter convexumlocaliter sit compactumconum recessionissubspatium lineare




Theorema Dieudonnéanum, ex Ioanne Dieudonné appellatum, in mathematica est theorema de casu ubi summa Minkowskiana copiarum clausarum clauditur.



Propositum theorematis |


Datis copiis convexis clausis non vacuis A,B⊂Xdisplaystyle A,Bsubset X, spatium localiter convexum, si aut Adisplaystyle A aut Bdisplaystyle B localiter sit compactum et recc⁡(A)∩recc⁡(B)displaystyle operatorname recc (A)cap operatorname recc (B) (ubi reccdisplaystyle operatorname recc conum recessionis dat) sit subspatium lineare, tum A−Bdisplaystyle A-B clauditur.[1][2]



Notae |



  1. Jean Dieudonné (1966). "Sur la séparation des ensembles convexes". Mathematische Annalen 163 .


  2. Constantin Zălinescu, Convex Analysis in General Vector Spaces (River Edge, Novae Caesareae: World Scientific Publishing, 2002), pp. 6–7. ISBN 981-238-067-1. MR 1921556.


.mw-parser-output .stipulapadding:3px;background:#F7F8FF;border:1px solid grey;margin:auto.mw-parser-output .stipula td.cell1background:transparent;color:white



mathematica

Haec stipula ad mathematicam spectat. Amplifica, si potes!

Popular posts from this blog

Garniga Index Insigne | Geographia | Ethnográphia | Oeconomia | Historia | Clari cives | Urbis administratio | Ecclesia Catholica Romana | Fractiones, vici et loci in municipio | Municipia finitima | Nexus interni Nexus externi | Pinacotheca | Notae | Tabula navigationis° ′ ″ Sept., ° ′ ″ Ort.Pagina interretialisPagina officialisTovazzi Giangrisostomo OFM - NOTITIA ECCLESIARUM TRIDENTINAE CIVITATIS AC DIOECESIS Clerus et Diocesis Tridentina exeunte anno 1826Amplifica

Saint-André (Pyrenaeus Orientalis) Nexus interni Nexus externi | Tabula navigationisOpenStreetMapGeoNames66168De hoc commune apud cassini.ehess.frHuius communis pagina interretialisAmplifica

Is there a way to get `mathscr' with lower case letters in pdfLaTeX?mathscr (LaTeX or XeLaTeX)Blackboard bold characterssome greek letters disappear from PDFs included with includegraphicsBeamer 3.30 with helvet - Problem with upper-case Greekpoor man's condensed with pdflatexlower case calligraphic letters in mathdesignHeadings with Trajan fontA calligraphic font with small (lowercase) lettersHow to use mathbbol only for greek and lowercaseA calligraphic font with lowercase letters, using mathscr style and not boldedIs there a way to write slanted non-italic (especially bold/bb lowercase) letters in math mode?