The Logical Language Group Online Dictionary Query |
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Word: fa'ai [jbovlaste] Type: experimental cmavo (YOU RISK BEING MISUNDERSTOOD IF YOU USE THIS WORD) Gloss Word: composition in the sense of "pointwise function(al) left composition" Gloss Word: functional composition in the sense of "pointwise; left" Gloss Word: functional power in the sense of "generalized; pointwise function(al) left composition" Gloss Word: function composition in the sense of "pointwise, left" Gloss Word: iterated function in the sense of "pointwise function(al) left composition" selma'o: VUhU Definition: mathematical ordered n-ary operator: (pointwise) functional left composition; $X_1 \circ X_2$. Notes: Inputs must be appropriate functions; this outputs a function; follow by "ku'e (boi)" in order to include/apply the output function to arguments (thereby producing a number). $a_1 \circ a_2 \circ \dots \circ a_n = a_1(a_2(\dots(a_n(\cdot))\dots))$ for any positive integer or countable infinity $n$ and functions $a_i$ for all integer $i < n+1$. Replaces all of the inputs with a (possibly stripped, as appropriate) tuple; for replacing a single argument in a multivariate function with a function (either evaluated or not), use (partial) (e)valuation. Left compose multiple terms by separating the function names with "boi".