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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
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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 which each are a set endowed with at least one operator 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 
Mon Apr 2 21:30:24 2018 



Examples




