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Dictionary record
This is a "best guess" listing for the word "facni"
in
language English,
meaning that only one of
the definitions for this word will be shown
(the one with the
highest total votes).
See all the definitions for
facni.

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valsi 
facni 
type 
experimental gismu 
creator 
krtisfranks 
time entered 
Wed Feb 22 20:13:45 2017 
Examples


English


Definition #69387
 Preferred
[edit]


definition 
x_{1} is an nary operator/map which is distributive/linear/homomorphic in or over or from space/structure x_{2}, mapping to space or structure x_{3}, thereby producing a new space/structure x_{4} which is the 'union' of x_{2} and x_{3} endowed with x_{1}; x_{1} distributes over/through all of the operators of x_{2}. 
notes 
x_{2} and x_{3} cannot merely be sets; they must be structures/systems which each are a set/category endowed with at least one operator/relation/property (here, "operator" will refer to any of these options) each; the ith operator endowing one space corresponds to exactly the ith operator endowing the other space under mapping x_{1}. For any operator of x_{2}, x_{1} is commutative with it with respect to functional composition (fa'ai) when the (other) operator is 'translated' to the corresponding operator of x_{3} appropriately. x_{1} is linear/a linear operator; x_{1} is a homomorphism; x_{1} distributes. x_{2} is homomorphic with x_{3} under x_{1}; they need not be identical (in fact, their respective operators need not even be identical, just 'homomorphically similar'). For "distributivity"/"distributive property", "linearity of operator", or "homomorphicity of operator", use "ka(m)( )facni" with x_{1} filled with "ce'u"; for "homomorphicity of spaces", use the same thing, but with x_{2} or x_{3} filled with "ce'u". See also: "socni", "cajni", "sezni", "dukni"; "fa'ai"; "fatri". This is a structureoperatorpreserving function, and thus is an example of a stodraunju. 
gloss words 

created by 
krtisfranks 
vote information 
1

time 
Fri Aug 12 17:55:36 2022 



Examples




