On gloss:
-
zy
- letteral for z.
In definition:
- repageipa
- number: 1×1021, zetta, sextillion; symbol: Z
- su'ifa'uvu'u
- mekso operator: plus or minus with order important, (((a±b)±c)±...±z)
- su'ijavu'u
- mekso operator: plus or minus, (((a±b)±c)±...±z)
- cmuselzba
- x1=z2=j1 is an infrastructure built by x2=z=1 out of x3=z3 for x4=j2
- ci'au'i
- mekso at-most-4-ary operator: integer lattice ball; the set of all points belonging to the intersection of Zn with the closure of the ball that is centered on X1 and has radius X2 in metric X3, where Z is the set of all integers and where, for any set A and non-negative integer n,
An is the set of all n-tuples such that each coordinate/entry/term belongs to A, and where the dimensionality n = X4..
- gei'au
- mekso 7-ary operator: for input (X1 = z, X2 = (ai)= (bj)= p, X5 = q, X6 = h1, X= h2), this word/function outputs/yields \sumn=0^\infty (((\prodi = 1p (ne'o'o(ai,n,1,h= 1q (ne'o'o(bj,n,1,h; by default, X6 = 1 = X7 unless explicitly specified otherwise.
- ji'i'u
- 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).
- ra'i'e
- ternary mekso/mathematical operator: radical; for input (x,y,z), it outputs the largest y-th-power-free product of prime divisors of x in structure (ring) z.
- zei'i'au
- unary mekso operator: (analytically continued) Riemann zeta function zeta(z), for complex-valued input z.
- zu'oi
- mekso; binary operator: z-score for the X1 quantile; X2 (default: 1) acts as the descriptor toggle (see notes).
In notes:
- facyborselkaizilkanpyborselkaimau'yraunzu
- x1 is so x2 (ka) that x3 (nu); x1=ckajiZ1=ckajiP1=raunzu1 satisfies property x2=ckajiZ2=fatci1=raunzu2=zmadu2 enough that x3=raunzu3, where ckajiP2=kanpe2=zmadu2.
- ficystodraunju
- x1 is an injective function (distinctness-preserving function) from x2 (domain) to x3 (codomain).
- ki'irgrafu
- x1 is a relation space formed from elements/nodes in set x2 and relationship x3 which connects them.
- selbri
- x1 (ka) is the relation of predicate x2 (du'u), which has arguments x3 (sequence of sumti).
- terbri
- x1 (sequence of sumti) is the sequence of arguments that, joined by relation x2 (ka), form predicate x3 (du'u)
- kinfi
- x1 is a binary relationship which is symmetric (under exchange of arguments/terms) in space/under conditions/on set x2.
- kinra
- x1 is a binary relationship which is reflexive in space/under conditions/on set x2.
- takni
- x1 is a binary relationship which is transitive in space/under conditions/on set x2.
- fau'i
- mekso ternary operator: inverse function of input function X1 with respect to its input X2, taken on branch or restricted domain X3 ("domain" being of X1).
- me'ei'o
- mekso n-ary operator: interleave sequences
- ne'o'au
- mekso quaternary operator: polygamma function; for input X1, X, outputs the (-X2)th derivative of Log(ne'o'a(X1, X)) with respect to X1.
- pi'ei'au
- mathematical ternary operator: not-greater-prime-counting function
- pi'ei'oi
- mathematical ternary operator: prime-generating function.
- se'au
- 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
- te'au'u
- 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
- 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
- cnanfadi
- x1 (li; number/quantity) is the weighted quasi-arithmetic mean/generalized f-mean of/on data x2 (completely specified ordered multiset/list) using function x3 (defaults according to the notes; if it is an extended-real number, then it has a particular interpretation according to the Notes) with weights x4 (completely specified ordered multiset/list with same cardinality/length as x2; defaults according to Notes).
- faukne
- x1 is a mathematical object for/to which operator x2 is defined/may be applied when under conditions x3 under definition (of operator)/standard/type x4
- funtiio
- x1 (plural of ordered pairs) is an exhaustive set (possibly infinite) of inputs/outputs defining a unary function which yields result x3 when given input x2; x1(x2) = x3
- grafnseljimcnkipliiu
- x1 is a 'quipyew' tree graph with special node x2, on nodes x3 (set of points; includes x2), with edges x4 (set of ordered pairs of nodes), and with other properties x5.
- paulcna
- x1 [signed quantity] is the the intrinsic spin/signed spin quantum number/magnetic quantum number/Dirac-Pauli spin-like charge [commonly denoted: s] of particle/thing x2, as measured along axis/in direction/measuring component x3
- pletomino
- x1 is a polyform/polyplet/polyomino/polyabolo/polyiamond (etc.) composed of parts/'tile' polytope x2 arranged in (finite) unified shape/pattern x3 in ambient space x4 and subject to rules/restrictions/conditions x5
- socnrpanrnji'akobi
- x1 is a binary operator in structure x2 which exhibits the Jacobi property with respect to binary operator x3 (which also endows x2) and element/object x4 (which is an element of the underlying set which form x2).
- tartidu
- x1 is directly/linearly proportional to x2 via coefficient/constant of proportionality x3 and background/constant offset x4; there exists constants x3 and x4 such that x1 = x3×x.