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In mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation ≤ {\displaystyle \leq } on some set X {\displaystyle X} , which satisfies the following for all a , b {\displaystyle a,b} and c {\displaystyle c} in X {\displaystyle X} :
A total order of order type ω (a.k.a. sequence indexed by natural numbers) (ascending chain condition, walk (graph theory)) 1.3. ⊆ as a total order (Zorn's lemma for sets) 1.3.1. Inclusion morphism as a total order (Krull dimension: ring homomorphisms) This seema to cover all uses seen so far. I also had a look at two lattice theory books:
Republic of Albania Republika e Shqipërisë (Albanian) Flag Coat of arms Motto: Ti Shqipëri, më jep nder, më jep emrin Shqipëtar "You Albania, give me honour, you give me the name Albanian" Anthem: "Himni i Flamurit" "Hymn to the Flag" Location of Albania (green) Capital and largest city Tirana 41°19′N 19°49′E / 41.317°N 19.817°E / 41.317; 19.817 Official languages ...
The earliest known mention of Albanian writings comes from a French Catholic church document from 1332. [10] [11] Written either by archbishop Guillaume Adam or the monk Brocardus Monacus the report notes that Licet Albanenses aliam omnino linguam a latina habeant et diversam, tamen litteram latinam habent in usu et in omnibus suis libris ("Though the Albanians have a language entirely their ...
Chapters are arranged broadly in descending order of length. For a preliminary discussion about the chronological order of chapters, see Surah . Each surah except the ninth ( At-Tawba ) is preceded by a formula known as the basmalla or tasmiah , which reads bismi-llāhi r-raḥmāni r-raḥīm ("In the name of Allah , the Most Gracious , the ...
Total (group), an American R&B girl group; Total: From Joy Division to New Order, a compilation album; Total (Sebastian album) Total (Total album) Total (Teenage Bottlerocket album) Total (Seigmen album) Total (Wanessa album) Total (Belinda Peregrín album) Total 1, an annual compilation album; Total, the one time recording name of British ...
The exact number of Muslim Chams in Turkey is unknown, but various estimates conclude that they number between 80,000 and 100,000, [6] from a total population of 500,000 to 6 million of full or partial Albanian descent that live in Turkey.
The language is spoken by approximately 6 million people in the Balkans, primarily in Albania, Kosovo, North Macedonia, Serbia, Montenegro and Greece. [1] However, due to old communities in Italy and the large Albanian diaspora, the worldwide total of speakers is much higher than in Southern Europe and numbers approximately 7.5 million.