From - Mon Nov 11 09:28:54 1996
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From: yu119792@yorku.ca (Saciid Maxamuud  Maxamed)
Newsgroups: soc.culture.somalia
Subject: Please read it and  contribute
Date: Mon, 11 Nov 1996 19:28:57 GMT
Organization: Jaamacadda York
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Waad salaaman tihiin

   

       arragtida ku salaysan qeexidda tiro -beel   baan wax ka odhan
lahaa. infinity , tiromabeelayaal baan ugu yeedhi lahaa. Waayo
,haddaan idhaahdo tirooyinkii waa dhamaadeen waxaan leeyahay midbuu
igaga gu'ay oo wax ka shisheeyaa ma jiraan. Laakiin midkastoo shishe
midbaa ka shisheysa . markaa "infinity" waxaan odhan
lahaa tiromabeelayaal. suaasha Jaamac oo ah   tirooyinka lakabtayadda
ee taxan labadda lamaane ee (0,1) waa tiromabeel
koobma  laakiin  tirooyinka maangaleed ee  lamaanahaa dhex taxan waa
ma tirsame ama ma koobme . Ta kale , urrurka tirooyinka abyoonayaashu
oo idil waa tiromabeele koobma laakiin   urrurka tirooyinka maangaleed
oo idil waa ma tirsamayaal ama makoobme sida  ay (0,1) kuwa dhexyaaloo
maangalee u yihiin.
                 Sida Cabdirisaaq caddeeyey waxa  sal u ah caddaynta
in urrur yahay tiramabeelayaal tirsama ama koobma(countabtable
infinite ama denumerable) ( ogow : tiromabeelo waa infinite) in la
helo tan:
 In tirooyinka dabiiciga ahi ay iskubeegnaan mid mid ah ku yihiin
urrurkaa. Markaa urrurad koobma (countable sets)
 waxay  noqon  karaan  sugmayaal(finite) ama tiramabeelayaal
koobma(denumerable) . Haddii aanay sidaa ahayna waa
 Makoobmayaal(uncountable) 

Markaa waxaan isticmaali karraa urruradaa : Tiromabeelayaal tirsama
ama koobma ( denumerable or countable infinite)
 markaa urruka tirsamaa wuxu  noqon karaa sugmayaal tirsama( finite)
ama tiromabeele tirsama  ama koobma sida urrurka 
toganayaasha tirooyinka lakabeed ah .

 Ta kale , mathematical induction :  waxaan u bixiyey : xisaab
dhacameed ( oodo dhacameed siday u kala sarreeyaan
 baa loo kala guraa, annigoo ka tixraacay qaabkeed)
  sidaad xusuusataan sequence waxaa loo yaqaanney  sunsume aan eegno
susumayaalka sida kuwa  tirooyinka maangalka ah
convergence sequence :  sunsume namba  waa ka dhamaadka le oo ku siqa
xadka
divergence seqeunce : sunsume faalala  ka aan xadka lahayn
inf  of S waa  cidhib koreedka(cidhibta kore)  urrurka S  , lower
bound
waa oodaha(seeraha ama xidhaha) jirrideed ama saleed 
 ama guneed 
sup of S waa  baar hooseedka( baarka hoose) ee urrurka S   
, upper bound waa oodaha caleed (kore)ama  baarka ama fiinta ama
dhalada 
  
Waad sixi kartaan wixii isku dhexqasan oo khalad ah

Nabadgelyo
Saciid Suugaan