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valsi po'i'oi
type experimental cmavo
creator krtisfranks
time entered Sat Apr 30 17:59:28 2016

Definition #68642 - Preferred [edit]
selma'o VUhU
definition mekso at-most-3-ary operator: convert to polynomial; X1 (ordered list of algebraic structure (probably field) elements) forms the (ordered list of) coefficients of a polynomial/Laurent-like series with respect to indeterminate X2 under ordering rule X3 (default for finite list: the first entry is the coefficient of the highest-degree term and each subsequent entry is the next lesser-degree coefficient via counting by ones and wherein the last entry is the constant term)
notes In English, there is no good way to distinguish between x2 + 2x as a function and as a number; typical notation would demand that it is a number but abuse must be adopted since no easy alternative exists for its expression as a function (such as when it is being defined; mapping notation is one of the best options, but is cumbersome). Lojban now allows for such functionality: just apply this word to the ordered list (1,2,0) and do not fill the second terbri (X2: the indeterminate). This word can also be viewed as creating an object in a ring. Termination of the list is extremely important; under normal interpretations, list entries can themselves have operations applied internally; moreover, multiple indetermimates can be introduced by careful application of this word to a list wherein each entry is itself treated as a polynomial. The last entry in X1 must be 'constant' term (when understood as a function), so care must be taken to explicitly mention an appropriate number of zeroes. See also: cpolinomi'a.
gloss words
created by krtisfranks
vote information 1
time Sat Apr 30 18:25:37 2016


krtisfranks{cpolinomi'a} + {porsi}[edit]
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