# tuple -tup-tu'e- gismu

x1 is a/the leg [body-part] of x2; [metaphor: supporting branch].

## On gloss:

orsi in sense "n-tuple, where n is non-negative integer or (countable) infinity"
x1 is an ordered tuple/sequence of x2 (li) members, namely x3, x4, x5 ...

## In definition:

nomei (comp!)
x1 is a 0-some / empty mass / 0-tuple, with members x2 (must be the empty set).
taknyklojyzilpra
x1 is the transitive closure (directed graph/set of ordered 2-tuples/space) derived/produced/induced from relation space x2.
grafu
x1 is the graph on vertices/nodes x2 (set) and edges x3 (set of ordered or unordered 2-tuples of vertices in x2) and with additional properties x4.
bai'i (exp!)
mekso string operator (ternary): find-and-replace; in string/text/word/sequence X1 formally replace X2 (ordered tuple of terms to be replaced) with X3 (ordered tuple of terms to be respectively substituted)
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).
ce'ei'oi
BIhI argument modifier: indicates dimensionality/length of tuple
ci'au'i (exp!)
mensonge at-most-3-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
ci'o'au (exp!)
mekso operator (binary): projection function; the Bth term/entry ("element") of tuple A
du'a'e (exp!)
mekso n-ary ordered operator: structure creator/ordered tuple, 'endow'; the structure formed by underlying set X1 (as) endowed with element, order, quoted operator, etc. X2, X3, ...
du'a'o (exp!)
mekso binary operator: extract substructure/underlying set/endowing operator; the substructure (general sense; includes just operator, order, set, etc.) of X1 (structure; explicitly given by {du'a'e}) which is formed by collecting the ith entries of that {du'a'e}-tuple in order together into their own {du'a'e}-tuple (or by extracting them naked into the ambient environment if X2 is a singleton) for all i in set X2
fa'ai'ai (exp!)
mekso k-ary operator, for natural k and 1 < k < 5: ordered input (f, g, S, m) where f and g are functions, S is a set of positive integers or "ro" (="all"), and m is 0 or 1 (as a toggle); output is a function equivalent to the function f as applied to an input ordered tuple with g applied to the entries/terms with indices in S (or to all entries/terms if S="ro") if m=0, or g left-composed with the same if m=1.
fa'ei (exp!)
Unary mekso operator: reverse finite ordered sequence, tuple, list, string, etc.
pi'au'e (exp!)
mekso ternary operator: extract digit from number; X2nd macrodigit/term of number/tuple X1 when X1 is expressed in base/basis X3.
vau'e'oi
interval bracket ordered tuple introducer
vau'o'oi
interval bracket ordered tuple terminator
faumji
x1 is the result of evaluating mathematical object x2 at point/with input value x3 (ordered tuple)
grafetu
x1 is the graph on vertices/nodes x2 (set) and edges x3 (set of ordered or unordered tuples of vertices in x2) and with additional properties x4.
grafnseljimca
x1 is a tree graph on nodes x2 (set of points), with edges x3 (set of ordered or unordered 2-tuples), with additional properties x4.
kaunmei
x1 (collection, body, set, mass, tuple, n-some, etc.) is x2 (li; default: 1) indivisible/atomic/elementary/basic discrete entities (or particles) of type x3 in composition/content, by standard x4; the count of instances of x3 in x1 is x2 by standard x4.
setxeve
x1 (predicate, relation, function, set of n-tuples) is the converse/complement/transpose of x2 (same typing as x1), as defined on set/object/space/graph x4, with argument/input slots permuted via function/operator/marker/permutation/(group) action x3.
vinzoru
x1 (set of tuples) is the x4-Winsorized data formed from data set x2 (set of tuples), Winsorizing with respect to variable x3.