History: ckinytadji

Preview of version: 2

Toward a quantitative form of Lojban

ckinytadji selsku

ckinytadji vlaselcmi


math terminology proposes some technical terms, but it's light on words that are useful in everyday life. I think there are plenty; I'm starting this list. mi'e jezrax (I think xod added most of this.)

  • selcmi, klesi (sets)
    • superset - selkle
    • set, subset - klesi
    • proper subset - nalrolmeilei (from the jvoste)
    • cmima x1 is a member of set x2 (Was Footnote: x1 may be a complete or incomplete list of members; x2 is normally marked by la'i/le'i/lo'i, defining the set in terms of its common property(ies), though it may be a complete enumeration of the membership);
    • gripau x1 is a subset of set x2 (Was Footnote: girzu pagbu, set-part)
    • disjoint -
    • overlapping (with non-empty intersection) -


Note: klesi is a set defined by a rule; selcmi is a set defined by its membership.

  • fancu (functions)
    • monotonically increasing - farstodi zenba
    • monotonically decreasing - farstodi jdika
    • bounded above - galseljimte
    • bounded below - dziseljimte

  • cuncmaci (statistics)
    • statistically independent -
    • correlated -
    • fadytercu'o x1 = cunso3 (set) follows a Gaussian probability distribution with independent variable x2 = cunso

  • Simple relationships (zbepi terki'i)
    • du x1 is identical to x2, x3, x4, ...
    • dunli x1 is equal/congruent to x2 in/on property/quality/dimension/quantity x3 (Was Footnote: same in quantity/quality (not necessarily in identity); 'analogy' may be expressed as the equivalence of two properties of similarity (ka x1 simsa x2) and (ka x3 simsa x4)) (.ua zo du cu dunli jenai du zo dunli .i le si'o du kei cu du le si'o dunli fi ko le ka bu'a)
    • mleca x1 is less than x2 in property/quantity x3 (ka/ni) by amount x4 (Was Footnote: also negative (= nonme'a));
    • jdika x1 (experiencer) decreases/contracts/is reduced/diminished in property/quantity x2 by amount x3
    • zmadu x1 is greater than x2 (Was Footnote: also positive (= nonmau));
    • zenba x1 (experiencer) increases/is incremented/augmented in property/quantity x2 by amount x3
    • dubjavme'a x1 is less than or equal to x2 (Was Footnote: du ja mleca, equal or less)
      • or nalmau x1 is not greater than x2
    • dubjavmau x1 is greater than or equal to x2 (Was Footnote: du ja zmadu, equal or greater)
      • or nalme'a x1 is not less than x2
    • tamdu'i x1 is similar to x2 (Was Footnote: tarmi dunli, shape-equal)
    • turdu'i x1 is isomorphic to x2 (Was Footnote: stura dunli, structure-equal)
    • pabdu'i x1 is proportional to x2 (Was Footnote: parbi dunli, ratio-equal)
    • na'ujbi x1 is approximately equal to (Was Footnote: namcu jibni, number-near)
    • lamji x1 is adjacent/beside/next to/in contact with x2 in property/sequence x3 in direction x4 (Was Footnote: also touching, contiguous, against);

  • Assorted useful brivla (vrici selpli brivla)

    • fancu x1 is a function/single-valued mapping from domain x2 to range x3 defined by expression/rule x4 (ru'a le fancu cu cmene le velfancu)
    • manri x1 is a frame of reference/standard for observing/measuring/determining x2, with/by rules x3
    • ckilu x1 (si'o) is a scale of units for measuring/observing/determining x2 (state)
    • cimde x1 (property - ka) is a dimension of space/object x2 according to rules/model x3
    • morna x1 is/reflects/represents a pattern of forms/events x2 arranged according to structure x3 (Was Footnote: x3 is a (((( JAhA + CAI|model) for x1 (= termontai, or the more abstract = termonsi'o);
    • mokca x1 is a point/instant/moment (Was Footnote: 0-dimensional shape/form) in/on/at time/place x2
    • linji x1 is a line/among lines (Was Footnote: 1-dimensional shape/form) defined by set of points x2. (Was Footnote: ray/vector (farli'i or porli'i))
    • plita x1 is a plane (Was Footnote: 2-dimensional shape/form) defined by points x2 (set); x1 is flat/(Was Footnote: smooth). (Was Footnote: also: x1 is even/planar/level); (x2 is a set of points at least sufficient to define the plane)
    • canlu x1 is space/volume/region/room (Was Footnote: at-least-3-dimensional area) occupied by x2. (Was Footnote: also occupy (= selca'u))

  • Logical Inference (see [logical induction & deduction)))
    • deduction: nibli, ja'o
    • induction: sucta, su'a
    • abduction: tolsucta, su'anai


ckinytadji nalca'ima'o

  • '[ja'axi )) (Was Footnote: NA):' bridi truth value scalar

  • 'xoi'a (Was Footnote: PU):' increasing linearly over time
    • la papri xoi'a pelxu The page is yellowing.

  • 'xoi'e (Was Footnote: PU):' exponential increasing
    • do xoi'e lojbo certu You're learning Lojban at an exponential rate.

  • Semantically, xoi'a/xoi'e belong in ZAhO, since they deal with change in truth over time. For example, co'a is change from categorically false to categorically true. xoi'a/xoi'e deal with rates of increase in degree of truth. However, there are several possible rates of increase, and there is also the possibility of decrease, so I think this domain of meaning requires some more comprehensive proposal than simply these two cmavo. --And

History

Advanced
Information Version
Mon 22 of Sep, 2003 19:52 GMT admin from admin updated by the phpwiki import process 3
Fri 30 of Nov, 2001 12:31 GMT admin from admin created from phpwiki import 2