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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)
    • 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, ...
    • jdika x1 (experiencer) decreases/contracts/is reduced/diminished in property/quantity x2 by amount x3
    • zmadu x1 is greater than x2 jbocre: 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 du ja mleca, equal or less
  • 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 [[jbocre: x3 is a [jbocre: model|model]] for x1 (= termontai, or the more abstract = termonsi'o);
    • mokca x1 is a point/instant/moment jbocre: 0-dimensional shape/form in/on/at time/place x2
    • induction: sucta, su'a
    • abduction: tolsucta, su'anai

ckinytadji nalca'ima'o

  • xoi'a PU: increasing linearly over time
    • la papri xoi'a pelxu The page is yellowing.
  • xoi'e 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 Rosta