Codish Lexicon

normal — file system: returns the one equivalent path that does not include parent ("..") and self (".") path components.   is: idempotent   distinct: canonical, absolute   geometry: a binary relation between a line and a plane that returns whether the line is perpendicular with every intersecting line in the plane.   distinct: perpendicular, orthogonal ✍

idempotent — (1.) of unary functions, converging on a return value when reapplied, as when the returned value of one application is passed back as a parameter.   a unary function, f, is idempotent iff f(x) eq f(f(x)).   (1.a.) an attribute of a unary function that denotes whether the function is idempotent for all values in its domain.   (2.) of binary functions, returning the same value when that value is passed to both parameters.   a value is idempotent for a binary function iff f(x, x) eq x.   a binary function, g, is idempotent iff f(x, x) eq x for all x in its domain.   (2.a.) a binary function that returns whether a particular value is idempotent for a given binary function, meaning f(x, x) eq x.   (2.b.) an attribute of a binary function that denotes whether the function is idempotent for all values in the domain of both parameters.   classes: abs, absolute, normal   related: stateful ✍

absolute — returns the fully qualified path for a given path and the cwd.   is: stateless, idempotent   distinct: abs, normal, canonical ✍

canonical — distinct: absolute, normal   aka: canonicalize   mentioned: canonize, path ✍

perpendicular — distinct: normal, orthogonal ✍

orthogonal — a binary relation between two lines that denotes that a point moving along one line, projected on the other line, would not move.   all perpendicular lines are orthogonal.   some skew lines are orthogonal but not perpendicular.   distinct: normal, perpendicular   mentioned: axis ✍

equivalent — mentioned: equivalence relation, normal ✍

path — a list of edges that a cursor can traverse starting at a given vertex and stoping at another.   related in the context of file system paths: normal, absolute, canonical   aka: segment, segments   related: edges   mentioned: canonize, parent ✍

parent — file system: a directory arrived at by the path component "..". the root of a file system often has a parent link to itself.   related: child, root, leaf, base, ancestor, descendant   opposite: child   transitive: ancestors   mentioned: heap array, normal, parent class ✍

self — mentioned: normal ✍

binary relation — concept: a binary function that returns whether the parameters have a given relationship (source to target), useful for map and for constructing graphs.   is: binary function, relation   distinct: boolean function   includes: eq, ne, lt, gt, le, ge   distinct: transitive function   classes: eq, ge, gt, le, lt, ne, transitive relation   related: relation   mentioned: equivalence relation, inherits, is, judge, normal, orthogonal, skew ✍

line — mentioned: axis, cli, new line, normal, orthogonal, plot, read line, skew ✍

plane — a 2 dimensional domain of points.   related: planar   mentioned: angle, normal ✍

intersect — related: and   aka: array intersect   mentioned: normal, skew ✍

stateful — an attribute of a function that indicates that a function may not always return the same result for given input because the result depends on state like an input stream or scope values.   opposite: stateless   related: idempotent   see: state   classes: complete, getset, reverse, update   mentioned: closure, count, in place, statement ✍

abs — absolute value.   returns the positive reflection of negative integers, returning positive numbers as they were.   a transitive function that maps integers into the natural number line.   distinct: absolute   is: stateless, idempotent   related: neg   python: abs(number) -> number Return the absolute value of the argument.†   perl: [number]: absolute value function†   php: absolute value &dagger.   distinct: pos   related: positive ✍

unary function — a unary function is a function that takes 1 parameter.   mentioned: idempotent ✍

return — a statement that stops the execution within a function, sending the cursor of execution to the function that applyed the current function, and providing a value for the apply expression.   perl: [control flow]: get out of a function early†   php: If called from within a function, the return() statement immediately ends execution of the current function, and returns its argument as the value of the function call. return() will also end the execution of an eval() statement or script file. &dagger.   mentioned: cut, empty, frame, group, higher order function, idempotent, iteration, whether ✍

value — data of any class.   see: def, variable   aka: datum   related: dict ✍

application — see: apply   mentioned: frame, idempotent ✍

param — a variable received by a function when it's called.   distinct: argument   distinct: arg   aka: parameter ✍

iff — if and only if.   related: if   related: whether   mentioned: idempotent ✍

eq — equal to.   a binary relation that notes whether two objects are mutually equivalent.   opposite: ne   is: binary relation   distinct: is   aka: equal, equals, equivalence relation, is same as, is same, same   mentioned: dict, idempotent, nxor, radix64, unique ✍

attr — an attribute of an object.   a setable and getable value associated with a symbol or name in an object.   in some languages, attributes are either private, protected, or public.   distinct: item   python: property   c++: member   aka: member, property   related: pair ✍

whether — indicates a boolean expression, particularly that a function returns a boolean expression.   related: if, iff ✍

function — related: scope, frame, closure   includes: apply   classes: binary function, boolean function ✍

all — returns whether all values froma given iterable are true.   short circuits on the first falsy value.   related: any, every   python: all(iterable) -> bool Return True if bool(x) is True for all values x in the iterable.†   aka: intersection   pertains: iterable   mentioned: idempotent ✍

domain — math: the set of all possible parameters of a transitive relation or keys of a dict.   distinct: space ✍

binary function — concept: a function that takes two parameters.   is: function   classes: binary relation   distinct: boolean function   mentioned: idempotent, identity ✍

stateless — an attribute of a function that connotes that a function will always return the same result for given input.   opposite: stateful   classes: abs, absolute, add, div, first, mul, pad, reversed, slice, sub   mentioned: expression, getset, transitive ✍

cwd — the current working deirectory   aka: pwd   unix: pwd   mentioned: absolute ✍

canonicalize — see: canonize, canonical ✍

canonize — concept: to convert a path to a canonical path, usually with the canonical transitive function.   aka: canonicalize ✍

point — mentioned: angle, origin, orthogonal, plane, plot ✍

skew — a binary relation between two lines that denotes that they are do not share a plane (non-co-planar), are not parallel, and do not intersect.   mentioned: orthogonal ✍

axis — a line that passes through an origin, passes through every value in one dimension, and is orthogonal with all others.   mentioned: atan, atan2, cardinal, plot ✍

equivalence relation — concept: a binary relation that returns whether two values are equivalent for some notion of equivalence, like having the same value (eq), identical ref (is), some common attribute, or maping to the same value with a transitive function, like len.   see: eq, is   aka: same   mentioned: group, unique ✍

edges — related: path ✍

segment — see: path ✍

segments — see: path ✍

list — a linear collection that provides fast put, push, pop, shift, and unshift operations.   an ordered nonunique linear collection.   applies to directory listing.   distinct: symbols   includes: queue, deque, staque   python: list() -> new list; list(sequence) -> new list initialized from sequence's items.†   php: assign variables as if they were an array &dagger. ✍

edge — a connection in a graph that starts at one vertex and stops at another.   mentioned: atan, complete, depth, graph, machine, path, stable, transitive relation, transitive ✍

cursor — a number or a pointer to a position in any number of dimensions.   aka: pointer   distinct: ref ✍

traverse — distinct: step   mentioned: path ✍

start — to start moving a cursor from the beginning of a stream.   distinct: begin, boot, halt   opposite: stop   aka: boot, play ✍

vertex — a point in a graph.   plural: vertices   distinct: node   aka: node ✍

stop — to stop a moving cursor and send the cursor to the beginning of a stream or machine.   distinct: end   related: finish, halt   distinct: abort, halt, shutdown   aka: boot   opposite: start   mentioned: edge, event, path, restart, return, run, temporal, wait ✍

file system — mentioned: path ✍

child — a vertex with a parent vertex in a tree.   related: leaf   opposite: parent   plural: children   related: parent   mentioned: ancestors, child class, complete, descendants, heap array, trie ✍

root — the start node in a tree.   distinct: radix, base   related: parent   mentioned: depth ✍