On gloss:
-
by
- letteral for b.
In definition:
- de'o
- binary mathematical operator: logarithm; [log/ln a to base b]; default base 10 or e.
- fe'a
- binary mathematical operator: nth root of; inverse power [a to the 1/b power].
- fe'i
- n-ary mathematical operator: divided by; division operator; [(((a / b) / c) / ...)].
- fei
- digit/number: hex digit B (decimal 11) [eleven].
- gei
- trinary mathematical operator: order of magnitude/value/base; [b * (c to the a power)].
- ju'u
- binary mathematical operator: number base; [a interpreted in the base b].
- pa'i
- binary mathematical operator: ratio; [the ratio of a to b].
- pi'i
- n-ary mathematical operator: times; multiplication operator; [(((a * b) * c) * ...)].
- ri'o
- trinary mathematical operator: [integral of a with respect to b over range c].
- sa'o
- trinary mathematical operator: [derivative of a with respect to b of degree c].
- si'i
- trinary mathematical operator: [sigma summation of a using variable b over range c].
- su'i
- n-ary mathematical operator: plus; addition operator; [(((a + b) + c) + ...)].
- te'a
- binary mathematical operator: to the power; exponential; [a to the b power].
- vu'u
- n-ary mathematical operator: minus; subtraction operator; [(((a - b) - c) - ...)].
- su'ifa'uvu'u (comp!)
- mekso operator: plus or minus with order important, (((a±b)±c)±...±z)
- su'ijavu'u (comp!)
- mekso operator: plus or minus, (((a±b)±c)±...±z)
- ca'o'e (exp!)
- mekso 4-nary operator: spherical harmonics on colatitudinal/polar angle a and azimuthal/longitudinal angle b of unassociated order c and associated order d.
- ci'ai'u (exp!)
- Mekso unary or binary operator: n-set or integer interval; in unary form, it maps a nonnegative integer X1 = n to the set \1, \dots , n\ (fully, officially, and precisely: the intersection of (a) the set of exactly all positive integers with (b) the closed ordered interval [1, n] such that n \geq 1; see notes for other n); in binary form, it maps ordered inputs (X1, X= (m, n) to the intersection of (a) the set of exactly all integers with (b) the closed ordered interval [m, n].
- cu'ai (exp!)
- binary mathematical operator: vector norm/magnitude of vector a in structure (normed vector space) b.
- de'au'u (exp!)
- mekso ternary operator: positive super-logarithm; the super-logarithm (inverse operator of hyper-operator with respect to "height" of power tower) of a with base b and of order c-2.
- dei'au'o (exp!)
- mekso binary operator: Lambert product-log W function; W(a, b)
- di'ei'o'au (exp!)
- mathematical ternary operator: Dirichlet convolution (a×b)(c)
- du'ei (exp!)
- mekso binary operator: left-handed vectorial cross product (ordered input), -a \times b = b \times a (if using right-hand convention - notice the negative sign/operator or order).
- fai'u (exp!)
- digit/number: phi, the "golden ratio" (approx. = 1.6180...); the ratio a/b such that it equals (a+b)/a
- fe'au'u (exp!)
- mekso ternary operator: positive super-root; the bth super-root (inverse operator of hyper-operator with respect to base) of a of order c-2.
- fe'ei (exp!)
- binary mekso operator: divided by (fraction): a/(b...)
- gau'a (exp!)
- mekso (no-more-than-4-ary) operator: Gaussian function f(x, a, b, c) = c e-((x-a).
- je'e'e (exp!)
- mekso operator: associated Legendre polynomial in a with unassociated order b and associated order c
- ji'i'u (exp!)
- mekso, at-most-5-ary operator: a rounding function; ordered input list is (x,n,t,m,b) and the output is sgn(x) bt roundn (b(-t) abs(x)), with rounding preference n and where the fractional part of b(-t) abs(x) being equal to 1/2 causes the roundn ( ) function to map b(-t) abs(x) to the nearest integer of form 2Z+m, for base b (determined by context if not explicitly input) and some integer Z (determined by context).
- kei'au
- mekso operator: finite result set derived from/on set A with/due to operator/function B under ordering of application C
- ku'au'a (exp!)
- mekso (n+1)-ary operator: q-analog converter - the ath analog of b (quoted operator) applied to operands c, d, ...
- mu'ai'au (exp!)
- mathematical/logical/mekso ternary operator: μ (mu) operator: outputs the most extreme extended-natural number that satisfies relationship/predicate A, where extremeness is bounded by B and of a version determined by C; error output is -1
- no'au'au (exp!)
- mathematical/mekso binary operator: the zero/identity-element/(primitive (-))constant operator; outputs the identity-element of structure A (contextless default: the additive group of integers) regardless of the input value of B (except blank or ill-defined values)
- pi'ei (exp!)
- mathematical/mekso binary operator: vector or function inner product over a field; the inner product of A and B over field C
- ru'ei (exp!)
- n-ary operator: n-ary magma/group/ring operator a*b = ab`
- se'au (exp!)
- mathematical quinary operator; big operator: left sequence notation/converter - operator a, sequence b defined as a function on index/argument/variable/parameter c, in set d, under ordering e
- su'i'o (exp!)
- mekso unary or binary operator: ordered inputs (n, b) where n and b are nonnegative integers and b > 1; output is the ultimate digital root of n in base-b.
- te'au'u (exp!)
- mekso ternary operator: Knuth up-arrow notation: a \uparrow \dots \uparrow b of order/with c-2 arrows ("\uparrow") initially, evaluated from right to left; the cth hyperoperator on a by b.
- te'i'ai (exp!)
- 6-ary mekso/mathematical operator: Heaviside function/step/Theta function of a, of order b, in structure c, using distribution d, within approximated limit e, with value f_b at 0
- to'ei'au (exp!)
- binary mathematical operator: Jordan totient function Ja(b)
- vo'au'u (exp!)
- quaternary mathematical operator: (left) convolution (a★b)(c) in structure d
- xa'ai (exp!)
- mekso operator: the bth branch of the (possibly multivalued) function a
- za'ei (exp!)
- mekso binary operator: right-handed vectorial cross product (ordered input), a×b
- banxulubu
- x1 is the language with ISO 639-3 code xlb (Loup B).
- dansrbreiki
- d1 (individual, mass) is breaking/b-boying/b-girling/breakdances to accompaniment/music/rhythm d2.
- jicmrboro
- x1 is a quantity of/contains/is made of boron [B]
- klanrtesla
- g1 is g2 tesla(s) of magnetic field B (default is 1) by standard g3.
- utkaje
- x1 and x2 are path-linked by directed binary predicate x3 (ka) via intermediate steps x4 (ordered list; ce'o) in graph x5, such that (in the graph x5) both (A) no other node exists to which x2 is connected in/by the same way/direction/relation and (B) no other node exists to which x1 is connected in/by the opposite/(anti)symmetric/reversed way/direction/relation.
- xumrbura
- x1 is an instance of boron (B) with purity x3.
- jbobau zei po'o zei pulji
- x1 is the "J B O B A U
P O h O" police.
- cia'o'e
- mekso 4-nary operator: spherical harmonics on colatitudinal/polar angle a and azimuthal/longitudinal angle b of unassociated order c and associated order d.
- xua'ai
- mekso operator: the bth branch of the (possibly multivalued) function a
In notes:
- diklo
- x1 is local to x2; x1 is confined to locus x2 within range x3; x1 is regional
- va'icu'i (comp!)
- discursive: in the same words.
- ki'irgrafu
- x1 is a relation space formed from elements/nodes in set x2 and relationship x3 which connects them.
- pavmompazy'utka'au'ypanzi
- x1 is any child of the first child of the first child of ... the first child of x2, where the graph geodesic through the ancestorship-directed family tree from x1 to x2 is of length (x3) + 1 (li; x3 must be a nonnegative integer or positive infinity), and where "first" is according to (partial) ordering rule x4 (default: chronological order of birth per successive generation within the given lineage; other restrictions on legitimacy etc. may be specified here as well).
- ri'ospa
- s1=c1 is a green plant/viridiplantae/viridiphyta/chlorobionta/plantae sensu strictu of species/strain/cultivar s2
- rirny'utka'au
- x1 is direct ancestor/mentorial-ancestor of x2 of order x3 (li; nonnegative integer) in graph/network of ancestry (family tree) x4 (defaults to maximal option), where x3 is the smallest possible number which is so constrained; x1 is the x3th-great-grandparent of x2.
- xilvidru
- v1=x1 is a rotavirus of species/breed/defining property v2 capable of infecting [at] v3.
- kinfi
- x1 is a binary relationship which is symmetric (under exchange of arguments/terms) in space/under conditions/on set x2.
- takni
- x1 is a binary relationship which is transitive in space/under conditions/on set x2.
- bai'i'i (exp!)
- mekso operator: in ordered tuple/list/vector/sequence X1, replace the X2th entry with term X3 of appropriate type, and leave all other entries untouched (optional: where the index for the very first/leading/header entry is X4).
- bi'ei (exp!)
- number/digit: 2(2×5/3) = 8×(2(1/3)).
- bi'oi'au (exp!)
- digit/number: interval/range indicator for significant digits (determined by lesser endpoint).
- ci'o'au (exp!)
- mekso operator (binary): projection function; the Bth term/entry ("element") of tuple A
- da'a'au (exp!)
- mekso operatory: prime mark append
- fi'au
- mekso operator: continued fraction, Kettenbruch notation; for ordered input (X1, X, where: X1 is an ordered pair of functions and X2 is a free or dummy variable/input/index which ranges through set X3 in order(ing) X4, the result is K(X for Kettenbruch notation K.
- gu'ai (exp!)
- binary operator: left group action g.x
- ku'ai (exp!)
- ku'i modal: in contrast to...
- mi'i'au (exp!)
- digit/number: interval/range indicator for significant digits (determined by midpoint).
- moi'u (exp!)
- x1 is (n)th member of alphabet/set x2 ordered by rule x3, where the count begins at x4.
- pi'ei'au (exp!)
- mathematical ternary operator: not-greater-prime-counting function
- pi'ei'oi (exp!)
- mathematical ternary operator: prime-generating function.
- rai'o
- Quote conversion: the quotation as presented uses pro-sumti and pro-bridi as if the current utterer (not the original utterer) were saying it, but the meaning conveyed is identical to that of the actual quotation by the original utterer and there is a claim that this meaning was expressed elsewhere
- se'u'o (exp!)
- selbri conversion question
- zi'oi'oi
- Delete subsequent sumti slots.
- almu
- x1 (quoted text) is a fragment/incomplete statement/question/utterance/proposition/text with intended meaning x2 in the context/under conditions x3 (default: the currently relevant context)
- cnanxero
- x1 s the Heronian mean of the elements of the ordered multiset/list x2.
- efklipi
- x1 is a binary relation which is right-Euclidean on space/set/under conditions x2.
- efklizu
- x1 is a binary relation which is left-Euclidean on space/set/under conditions x2.
- jarnezi
- x1 is a part of Lojban text representing rule 'text' according to the first edition of the book 'The Complete Lojban Language'.
- krotene
- x1 is a rational number obtained by dividing x2 (integer) by x3 (non-zero integer)
- seplrcnite
- x1
is a Dedekind cut associated with number/point x2 of totally ordered set x3
- utka
- x1 and x2 are path-linked by binary predicate x3 (ka) via intermediate steps x4 (ce'o; (ordered) list).
- utka'au
- x1 and x2 are path-linked by binary predicate x3 (ka; possibly non-symmetric/non-commutative) via a from-x1-to-x2-directed graph geodesic of length x4 (li; nonnegative integer or positive infinity) in graph x5 (default: maximal) which is generated by relation x3.
- vendaia
- x1 (set) is the unique region/part in the Venn diagram of
sets x2 (set of sets; exhaustive) such that each of its (i.e.: x1's) members is a member of exactly each of the explicitly-mentioned elements of x3 (set of sets; subset of x2; exhaustive) and of no other elements of x2.