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

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

Image
Communia praefecturae Pyrenaei Orientalis CatalanecommuneFrancicum2012praefecturaePyrenaei OrientalisOccitania et Ruscinone1 Ianuarii2016Occitania Ruscinone Meridiano et Pyrenaeis Saint-André: ecclesia Saint-André: communis tabula Saint-André (Catalane Sant Andreu de Sureda ) est commune Francicum 3'266 incolarum (anno 2012) praefecturae Pyrenaei Orientalis in regione australi Occitania et Ruscinone (a die 1 Ianuarii 2016 Occitania Ruscinone Meridiano et Pyrenaeis). Nexus interni Indicem communium praefecturae Pyrenaei Orientalis Nexus externi | Vicimedia Communia plura habent quae ad Saint-André spectant. Situs geographici et historici: Locus : 42°33′4″N 2°58′24″E  • OpenStreetMap  • GeoNames  • " 66168 " apud INSEE De hoc commune apud cassini.ehess.fr Huius communis pagina interretialis .mw-parser-output .stipulapadding:3px;background:#F7F8FF;border:1px solid grey;margin:auto.mw-parser-output...
Read more

Index Asteroidum 167001-168000 Tabula navigationis

Indices asteroidum Index Asteroidum167001...167101...167201...167301...167401...167501...167601...167701...167801...167901... Ecce index asteroidum qui numeri ex 167001 ad 168000 habent. Vide omnes indices asteroidum in Index Asteroidum. Argumentum 167001... 167101... 167201... 167301... 167401... 167501... 167601... 167701... 167801... 167901... Nomen Designatio provisus Die repertus 167001–167100 167001 — 2003 PO6 1 Aug 2003 167002 — 2003 PD7 1 Aug 2003 167003 — 2003 PD8 2 Aug 2003 167004 — 2003 PV8 4 Aug 2003 167005 — 2003 PY8 4 Aug 2003 167006 — 2003 PY11 1 Aug 2003 167007 — 2003 PZ11 4 Aug 2003 167008 — 2003 PT12 1 Aug 2003 167009 — 2003 QV3 18 Aug 2003 167010 — 2003 QZ4 20 Aug 2003 167011 — 2003 QP6 20 Aug 2003 167012 — 2003 QF9 20 Aug 2003 167013 — 2003 QV11 21 Aug 2003 167014 — 2003 QC21 22 Aug 2003 167015 — 2003 QF21 22 Aug 2003 167016 — 2003 QZ22 20 Aug 2003 167017 — 2...
Read more

Remove specific words in a stringWhat is the difference between String and string in C#?How do I iterate over the words of a string?How do I read / convert an InputStream into a String in Java?Extract filename and extension in BashHow to replace all occurrences of a string in JavaScriptHow to check whether a string contains a substring in JavaScript?Does Python have a string 'contains' substring method?How do I check if a string contains a specific word?How do I convert a String to an int in Java?Why is char[] preferred over String for passwords?

Image
Why is participating in the European Parliamentary elections used as a threat? GNU awk ERRNO not set on command failure Given this phrasing in the lease, when should I pay my rent? Do cause and effect exist in a non-relativistic, Newtonian Universe in which the speed of light is infinite? Personal or impersonal in a technical resume How to get directions in deep space? "Oh no!" in Latin PTIJ: Which Dr. Seuss books should one obtain? Why would five hundred and five be same as one? What is the Difference Between Formulating the Answer via Quadratic Formula and Factoring? Typing CO_2 easily How to convince somebody that he is fit for something else, but not this one? Echo with obfuscation In One Punch Man, is King actually weak? How do I fix the group tension caused by my character stealing and possibly killing without provocation? Do I have to know the General Relativity theory to understand the concept of inertial frame? Is there a RAID 0 Equiva...
Read more