lojbo jufsisku
Lojban sentence search

Total: 17849 result(s)
va'ei'a
experimental cmavo digit/number: Dom Hans van der Laan's plastic number ρ = 1.324717957244746025960908854… The unique real solution of (x^3)-x-1=0; algebraic.
enai
cmavo-compound logical connective: sumti afterthought x but not y.
gi'enai
cmavo-compound logical connective: bridi-tail afterthought x but not y.
ijenai
cmavo-compound logical connective: sentence afterthought x but not y.
jenai
cmavo-compound logical connective: tanru-internal afterthought x but not y.
vi'oi'au
experimental cmavo mekso unary operator: the set of all fixed points of function a The output is an (unordered) set of all of the fixed/stationary/self-mapping points of the input function a; in other words, it the set of all x that are in the domain of a such that a(x) = x. Beware that a may have a larger range than intended (for example, e^x makes sense even for some matrix-valued x). Use mau'au for quoting a.
ka'o'ei
experimental cmavo imaginary i, comma - spherical coordinates: first coordinate gives magnitude (complex modulus/radius) of the number, the second number gives the angle from the positive real axis measured counterclockwise (default: in the primary branch/Arg) as measured in some units (which that number should contain; the contextless default will suppose radians); the angle is not normalized The number (r, x) = r*e^(i x). The angle x is (by default) measured in radians and is not normalized (contains no hidden/inherent multiples of pi). See also: te'o, ka'o.
ju'u'i
experimental cmavo long-digit interpretation specifier; macrodigit named base specifier When a string of multiple digits is on either side of pi'e, the string is to be interpreted as a single "macrodigit" in the longer numeric string; let the digits that compose it be called "microdigits" for clarity. By default, the macrodigit is interpreted as being written/expressed in some cultural or grammatical default (this default is overridden by ju'au if its specifying sumti requires an alternative interpretation for the value of the macrodigits), probably decimal- the interpretation of the string of microdigits produces a number, x; the "pi'e" implies the denominator to be used in determining the fraction for which x is in the numerator and context or possibly a specified base determines its value- in timekeeping, the interpretation is typically x/60 for certain macrodigits. However, the default for determining the value of x given a string of microdigits might be useful to override (for example, Tsohnai uses an overall factorial base but each macrodigit is written in balanced quinary); this word specifies the base used for interpreting the macrodigit from a string of microdigits. It is placed at the end of the string (possibly before the next "pi'e") and its scope of effect extends from there, through the string of microdigits, to either the beginning of the number as a whole or the most recent "pi'e" (whichsoever was more recently uttered). It is to be followed by a sumti (or multiple sumti strung together by connectives) and has its scope of specification terminate with that sumti; in this regard, it works syntactically and semantically exactly like ju'au. In fact, ju'au can be used outside of the number in order to specify the macrodigit interpretation instead of this word (for example, if its sumti were la .tsonais., this word would not be needed); however, if only a sequence were to have been given as the argument of ju'au (such as the factorial sequence) and if some base other than decimal were desired for the interpretation of each macrodigit from the string of microdigits, then this word would be used. If only one macrodigit appears in the number, then this word is equivalent to ju'au. In short, the scope of this word is one contiguous string of microdigits, and it influences their interpretation into a macrodigit value in the same way that ju'au does. However, if both ju'au and this word specify how to interpret a given string of microdigits in the same number (composed of macrodigits), this word overrides the interpretation specified by ju'au (but only for this macrodigit); thus, for example, a Tsohnai number can have each of its macrodigits be interpreted in balanced quinary except one, which the speaker specifies via this word, because they know the value but did not want to convert it to balanced quinary (because it may be too large or hard to do so easily), so they instead expressed it in decimal.
mau'au
experimental cmavo mekso: conversion of operator/function to operand Must be followed by a function (meaning "f", not "f(x)" (which is a number)) or operator (such as "+"). Treats it formally and syntactically as a number so that it can be operated upon, such as by se'au or by a functional/operator (technical sense). Terminated by zai'ai; the pair essentially act as mathematical quotation marks. Also works on connectives and kei'i. Expressions may be complicated (such as with SE, NA, NAI, etc. modifying the string); perhaps one may even find a use for quoting relations (such as equality or element-hood) and/or some brivla or other cmavo. See also: kei'au.