abstract Algebra: Difference between revisions

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= [http://www.lojban.org/tiki/BPFK+Member%3A+Bob+LeChevalier Lojbab] (Bob LeChevalier) =
 
=== Original Works ===
 
* '''[http://www.lojban.org/tiki/Lojban+Anthem Lojban Anthem]''' — music by [http://www.lojban.org/tiki/Nick+Nicholas Nick Nicholas]; words by [http://www.lojban.org/tiki/BPFK+Member%3A+Bob+LeChevalier Lojbab] and [http://www.lojban.org/tiki/Nick+Nicholas Nick Nicholas]
* group (''sujgri'')
'''[http://www.lojban.org/files/texts/archives/ Lojbab's full text and text discussion archive]''' (which is actually only complete up until around 1993).
** x1 is a group with elements x2 and operation x3se girzu is the identity, inverse, and associativity laws and drops out
=== Translations ===
 
* '''[http://www.lojban.org/files/texts/g+s_song Song "The Merryman & His Maid"]''', aka "I Have A Song To Sing, O!" from the Gilbert & Sullivan operetta Yeomen of the Guard.
***Is each element a ''se sujgri''? Could you give an example sentence with ''sujgri'' as selbri? Thank you. --[[User:xorxes|xorxes]]
* '''[http://www.lojban.org/files/texts/lordpray A prosaic version of the Lord's Prayer from the New Testament]'''. From the English, corrected by reference to the Greek.
****la firgrup. sujgri lu'i li no bi'i ci le kaxycauvlina (''anyone have a better word for that?'') -phma
* '''[http://www.lojban.org/files/texts/words1.txt Lyric from a Suzanne Vega song, "Words"]'''. Tr. [http://www.lojban.org/tiki/BPFK+Member%3A+Bob+LeChevalier Lojbab], with commentary based on Nick Nicholas's translation of the same poem into other artificial languages. Also available [http://www.lojban.org/files/texts/words_poem.tex in TeX format].
 
*****But then x2 is the set, not the elements, right? --[[User:xorxes|xorxes]]
* ring (''piljygri'')
 
** x1 is a ring with elements x2, addition x3, and multiplication x4
* division ring (''dilcygri'')
 
* field
 
* natural number (''rarna'u'')
* integer (''mulna'u'')
 
* rational number (''frinu'' or ''pabna'u'')
* irrational number (''nalpabna'u'')
 
* real number (''zatna'u'')
* imaginary number (not ''ka'orna'u'', so what?)
 
** ka'o zei namcu -[[jbocre: Robin Lee Powell|Robin Lee Powell]]
** ''xarna'u''
 
* complex number (''lujna'u'')
* quaternion
 
* ''p''-adic number (''fatysaclu be fi li py namcu'')
 
* identity (''mi'uzba''?)
* inverse (''dukti'')

Revision as of 16:42, 4 November 2013


  • group (sujgri)
    • x1 is a group with elements x2 and operation x3se girzu is the identity, inverse, and associativity laws and drops out
      • Is each element a se sujgri? Could you give an example sentence with sujgri as selbri? Thank you. --xorxes
        • la firgrup. sujgri lu'i li no bi'i ci le kaxycauvlina (anyone have a better word for that?) -phma
          • But then x2 is the set, not the elements, right? --xorxes
  • ring (piljygri)
    • x1 is a ring with elements x2, addition x3, and multiplication x4
  • division ring (dilcygri)
  • field
  • natural number (rarna'u)
  • integer (mulna'u)
  • rational number (frinu or pabna'u)
  • irrational number (nalpabna'u)
  • real number (zatna'u)
  • imaginary number (not ka'orna'u, so what?)
  • complex number (lujna'u)
  • quaternion
  • p-adic number (fatysaclu be fi li py namcu)
  • identity (mi'uzba?)
  • inverse (dukti)
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