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Numbers (was: RE: Ebonic Christmas)

From:FFlores <fflores@...>
Date:Saturday, January 15, 2000, 22:44
Axiem <axiem@...> wrote:

> How do you all handle numbers, anyways? Like saying "I have 5 things" > or whatever? Would it be considered an adjective, or article of some > sort? I know Di^me'l uses base 16 numbers, but I'm not sure how to say I > have so many of an object, or even how to count above 10 (base 16) > would 11 be (ten)(one) or (one)(ten) or something else?
In Draseléq, almost everything that qualifies or quantifies a noun phrase is a verb, and numbers are included, so you have: deten 'to be one' kladnel 'to be two' mursen 'to be three' and you use the participles, like 'one-being person' = 'one person'. There are several participles, more or less interchangeable in the case of numbers; but for the first numbers, however, the usual form is fixed (_det_ 'one', _kladn_/_klan_ 'two', _murs_ 'three', etc.). Sometimes you nominalize the numbers (especially for years, days, etc.): mèf i piestadnel days * fifty where _i_ is both nominalizing and 'compositive' ('a fifty-group of days'). [This particle _i_ is the catch-all linking particle -- I wrote a whole article on its usage!] The ordinals are usually formed by adding the verb suffix -ar(sen) 'to be (in a position)' to the participle or a form of it, and then using the participle of the new verb: d-arsen 'to be first' kland-arsen 'to be second' murs-arsen 'to be third' The numbers are named in the inverse order as we do, i. e. beginning by the units, then the tens, etc. (Is this natural?) Some examples: I murs kof ladhet * three things have.1s 'I have two things' Thä murs kof there_be.3p three things 'There are three things' Murek kof three.3p things 'The things are three', 'The quantity of things is three' As for base: A number in base N is expressed using integer digits in the range [0..(N-1)]. So base 10 (decimal) uses 0..9, and base 16 uses 0..15 (for convenience, 10..15 are expressed as a..f). In a base N number, written in the conventional order (most significant digit first), each digit in a particular position is N times its absolute value, that is, N times what it would 'weigh' if it were in the position just to the right. In general, if a number is expressed as {dm d(m-1) ... d2 d1 d0} or {di}, the number equals d0*N^0 + d1*N^1 + ... + d(m-1)*N^(m-1) + dm*N^m = = Sum[di * N^i] So in the decimal number 1234, 4 is 4*10^0 = 4 3 is 3*10^1 = 30 2 is 2*10^2 = 200 1 is 1*10^3 = 1000 Same for any base, changing 10 to the base, except that you also have to transform the higher digits (over 10) if they are expressed by letters. There's a simple algorithm to transform numbers from a base to any other one -- I can send it to you privately if you want. --Pablo Flores