lojbo jufsisku
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experimental cmavo mekso style converter: elementwise application of operator Prefixed to an operator/function that operates on numbers, thereby transforming it to a set operator (thus its arguments must be sets where before they were numbers), as defined in a given structure. Produces the set of all numbers that are given by some ordered pair of elements (the nth term of which belongs to the nth set specified) with the operator acting on them (per the rules of that operator). The set produced may include empty terms and/or infinity. Let "✦" represent the operator; then X_1 kei'ai ✦ X_2 boi X_3 boi X_4 = Set(x1✦x2✦x3✦x4: x_i in X_i). See also kei'au for a similar but different word.
fu'ivla x1 is a non-polyplet polyform/polyomino/polyabolo/polyiamond (etc.) composed of parts/'tile' polytope x2 arranged in (finite) unified shape/pattern x3 (in which the entirety of sides of polytopes are shared or are not shared at all) in ambient space x4 and subject to rules/restrictions/conditions x5 (implicitly includes the condition of whole sides being shared) The hyper-edges of the 'tile' polytopes must be shared entirely or not at all with at least one other distinct such 'tile' polytope (should it exist); they cannot be touching only at the corners- the most touch adjacently along the entirety of a side/edge/face/hyper-edge. This obviously restricts which polytopes can be arranged meaningfully in a valid arrangement/pattern (and thus restricts those patterns). See also: pletomino
experimental cmavo the specific referent of [following sumti] defined/specified by the grammar The grammar in question can itself be specified by metalinguistic tags that apply to the utterance; if not explicitly specified, then a cultural assumption/default is applied. This word is useful for distinguishing between, for example, differentiating between something that the speaker happens to call "PEMDAS" and the order of operations PEMDAS (which, presumably, could be included in the grammar as a special word that influences mekso interpretation); likewise for a font that happens to be called ".mekrot." ("math blackboard bold") and the one that definitely refers to the set of characters used for, among other purposes, set notation.
fu'ivla x1(set) acts unanimously/on the basis of unanimous group consensus in doing x2 (activity); x1 are in harmony in doing x2; x1 (set) acts in the interest of harmony and smooth functioning in doing x2; x1 acts without searching for good or bad members of x1; x1 consists of members that have a shared goal of group/non-individual success; x1 shows cooperative behavior/trust/sharing and the necessary social subordination of members of x1 See also sarxe, lanxe
lujvo function f1 is discontinuous/abrupt/sharply changes locally (in output) on/at s2 (set), with abruptness of type x3 (default: 1) s2 should be a set within some open subset of definition of f1, or a set on which f1 is not defined at all. For x3, an argument of n (number) corresponds to a differentiability class of order n to which f1 does NOT belong at points in set s2; notice that such an n makes no implications about the truth value of f1 belonging to any given differentiability classes of order m < n, but f1 cannot belong to differentiability classes of order m > n; n = 0 implies that the function is not continuous on that set (lack of definition there is sufficient for such a claim); a function that is discontinuous or which has a cusp or sharp "corner" in its graph/plot (meaning that its derivative is discontinuous) at points in s2 will have n ≤ 1. For now at least, n can be a nonnegative integer; generalizations may eventually be defined. This lujvo is not perfectly algorithmic/predictable.
experimental cmavo mekso operator, variable arity - algebraic structure order of X1; OR: order of/(size of) period of element X1 in algebraic structure X2 under operator/of type X3 If applied to an algebraic structure (such as a group) it gives the order thereof (which, for a group, is the cardinality of the underlying set). If applied to an element of an algebraic structure, one has the options to specify the structure in which its order is being considered and/or the operator with respect to which its order is being considered (for example, in a given ring, an elements additive order is usually not its multiplicative order), although either of these made remain vague and be inferred from context; order is the smallest non-negative number of applications of the operator needed to be applied (in composition) to the original element in order for it to result in the identity element of the structure (thus, order is not always finite or even defined). See also: mau'au, cu'a.
lujvo x1 (number) is the greatest element/maximum of the set (of numbers) x2 under (partial) ordering x3 x1 must be a set. If this word is being used as a function (max), common but lazy mathematical practice allows for speaking of "the maximum of a function" (including sequences) or to constrain the maximum with respect to certain variables, but these constraints can and properly ought to be incorporated into the definition of the set of which the maximum is being taken. This word is not limited to purely mathematical usage and the set can be defined loosely (such as in "the maximum number of people whom I permit to be invited" wherein the set x2 is understood to be the set of the possible acceptable numbers of guests allowed by the speaker). The maximum x1 must belong to set x2; compare with: mecraizmana'u (supremum). See also: nacmecrai.
fu'ivla x1 is the differintegral of x2 with respect to x3 of order x4 with starting point x5 Definition of which differintegral operator is being used is context dependent. Output x1 is a function, not a value (that is, it is f rather than f(x)); it must be specified/restricted to a value in order to be a value. x2 is likewise a function. If the function has only one variable, x3 defaults to that variable; when x2 is physical, without context, time will probably usually be assumed as the default of x3 (but may be made explicit by {temci zei salrixo}). Positive values of x4 are integrals, negative values are derivatives, and zero is identity; at the least, any real value may be supplied for x4; x4 has no default value. Useful for making lujvo for physics, for specifying career/total/sum versus peak/instantaneous value, for distinguishing between instantaneous versus average values/quantities, for specifying rates, etc. See also: salri (synonymous gismu).
lujvo x1 becomes incapable of writing characters x2 of alphabet/writing system x3, which is reflects chinese culture/languge/etc. in aspect x4 and which represent x5, on writing surface/medium x6 with writing implement x7 under conditions of being incapable x8 under conditions of becoming incapable x9, as a result of x1 making excessive use of x10 which is a computer for purpose x11 or x12 which is a phone connected to network x13, used for purpose x14, excessive by amount x15. The two "under conditions" places arise from the incorporation of both kakne and binxo. They are not to be confused. Ilmen inspired the creation of this lujvo.
fu'ivla x1 is an executable/binary file to be run in system/runtime environment x2. A calque on the English word "binary". The x1 refers more generally to executables, not necessarily binaries. This includes shell scripts and interpreted languages such as Python. The x2 refers to runtime environments, which can be operating systems or more general environments such as virtual machines like the JVM. See also samrkompli, which is specifically about compiled programs.
lujvo m1 is a bike/bicycle/tricycle/pedal vehicle carrying m2 in/on surface/medium m3, propelled by force m4 transmitted via pedal(s) c1=v1. Also include hydrocycle (=jaurcarvrama'e or x3= "lo djacu"), handcycle (x4= "lo xance"), electric bicycle (= "lo carvrama'e be fo si'u lo dicymatra"; not to be confused with motorcycles), cycles with different numbers of wheels and different numbers of riders, etc.
lujvo xa1=ce1 is a small arm/gun for use against xa2 by xa3, launching small projectile ce2=cm1, defined as small arms by standard cm3, projectile propelled by ce3. The description is usually limited to revolvers, pistols, carbines, rifles, shotguns, submachine guns, assault rifles, sniper rifles etc. In the United States any firearm having a bore diameter of .50 caliber or less is normally considered a "small arm."
lujvo x1=t1 is the exponential result of base 10000 (myriad) multiplied by x2=d2=k2 of -yllion(s) (default 1), to power/exponent x3=t2 (default 2). -yllion is a proposal from Donald Knuth for the terminology and symbols of an alternate decimal superbase system. Myllion(s)(x3=2), byllion (x3=4), tryllion (x3=8), quadryllion (x3=16) and so on. See also: myriad (=suzdekyki'o).
lujvo x1=g1 works on x2=g2 with goal/purpose x3=g3 which is associated to school x4=c1 at x5=c2 teaching subject(s) x6=c3 to audience/community x7=c4 (of which x1 is a part) operated by x8=c5 The x2 could be homework, c.f. zdakemkulgu'a.
lujvo x1 is a zero-divisor partnered with element(s) x2 in structure/ring x3, where neither x1 nor x2 is the zero(-like) element in x3 Let structure x3 have commutative group substructure that we name as "additive" and let "0" denote the additive identity thereof in the structure x3. In the set underlying x3 there exist elements x1, x2 ≠ 0 in structure x3 such that x1*x2 = 0 in structure x3; the partnership aforementioned is thusly defined. See also: nonsmipi'i.
lujvo f1=c1 [value] is a/the median/quartile/decile/percentile/fraction-type of median with numerator f2, denominator f3 in property/amount c2 (ka/ni) among p1 (s) (ordered set) by standard c4. Median (=porna'ofrinu li pa li re;porna'o). 1st quartile (=porna'ofrinu li pa li vo). 3rd decile (=porna'ofrinu li ci li pano). 5th percentile (=porna'ofrinu li mu li panono).