Return-Path: From: cbmvax!uunet!ee.mu.OZ.AU!nsn Message-Id: <9107030432.AA26510@munagin.ee.mu.OZ.AU> To: lojban-list@snark.thyrsus.com Cc: nsn@ee.mu.OZ.AU Subject: Why I didn't give a word-for-word Organisation: Department of Electrical Engineering, University of Melbourne Smiley-Convention: %^) Date: Wed, 03 Jul 91 14:32:01 +1000 Status: RO X-From-Space-Date: Wed Jul 3 01:58:23 1991 X-From-Space-Address: cbmvax!uunet!ee.mu.OZ.AU!nsn Let the following word-for-word be my defence: ]Message-Id: <9107010330.AA15653@munagin.ee.mu.OZ.AU> ]To: lojban-list@snark.thyrsus.com ]Subject: MEX: a trial text, and some ballyhooing. ]Date: Mon, 01 Jul 91 13:30:52 +1000 ]From: nsn@ee.mu.OZ.AU ]>From p.91, ALGEBRA AND GEOMETRY, Holton & Lloyd ]Theorem 3. ]di'e cimoi le'i cmaci se smadi The following is the third in the set of the mathematical guesses ]Let V be a vector space over F. ].i vy. nu'a jo'i klesi .i fy. lu'a lu'a vy. ]{F is the class of the vector elements, the vectors being the elements of V} V is a is-vector class. (nu'a jo'i = vector in this posting) F, the members of the members of V. (That should be .i fy. *klesi* lu'a lu'a vy) ]Then (i) 0 x = 0 for all x in V ].inaja ge li pi'i noboi xy. du li no va'o lenu roda po'u xy. cmima vy. Only if both the amount plus zero x equals the amount zero with condition the event of everything that is x is a member of V ] ] (ii) -x = (-1) x for all x in V ]gi li va'a xy. du li pi'i va'a pa tu'o xy. va'o lenu roda po'u xy. cmima vy and the amount negative x equals the amount product negatve one blank x with condition the event of everything that is x is a member of V. ]Proof ].i di'e cipra The following is a test ](i) Note carefully that the two zeroes in the equation 0 x = 0 are different. ].i pamai (to ko zgana sai lenu lore lino pe vi me'o na'u du pi'i noboi xy.boi ]no cu na'e mintu ]{Note: to shove the whole expression 0x=0, including '=', into a mekso, I ]make 'du' itself an operator.} Firstly (Observe (!) the event that they that were the two quantites of zero which were in the equation "the equality of (the product of x and zero) and zero" are not the same. {which is not right:one thing in lojban is same to another, palore lino pe vi... na'e mintu le drata} ]The zero in the LHS is a scalar in F, ].i le pamoi be le'i noboi cu nu'a na'e jo'i co cmima fy. The first of the set of zeros is a non-vector-operand-thing of type member of F ]while the zero on the RHS is the zero vector in V.) ].i le remoi cu nomei nu'a jo'i co cmima vy. toi) The second is a zerosome vector of type member of V) ]Now 0 = 0 x + (-[0 x]), by v5 ]su'anai li 0 du li + * 0boi xy. va'a * 0boi xy. ja'i vy.mu Moving along: (etc.) Can *you* understand the above drivel? Now *this* is why I didn't post a word- for-word translation: it's more harm than good. Of course, if the above *did* help you, then I apologise; but writing the above was highly unpleasant to me: I can formulate lojbanically in lojban, but in English I'm left with a bleeding mess.