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From Lojban to English :
Word: cpolinomi'a [jbovlaste] Type: fu'ivla Gloss Word: coefficient in the sense of "polynomial" Gloss Word: coefficient ring in the sense of "of polynomial" Gloss Word: indeterminant in the sense of "of formal polynomial" Gloss Word: polynomial in the sense of "formal, ring element (not as: a function or a funcion evaluated at a particular input value)" Definition: x1 is a formal polynomial with coefficients $x2$ (ordered list) of degree x3 (li; nonnegative integer) over structure/ring x4 (to which coefficients x2 all belong) and in indeterminant x5. Notes: x3 must be greater than or equal to the number of entries in x2; if these two values are not equal, then the explicitly mentioned entries of x2 are the values of the coefficients as will be described next, starting with the most important one; all the following coefficients (which are not explicitly mentioned) are xo'ei (taking appropriate values) until and including once the constant term's coefficient (when understood as a function) is reached. If x2 is presented as an ordered list, the entries represent the 'coefficients' of the particular polynomial and are specified in the order such that the $i$th entry/term is the $(n-i+1)$th 'coefficient', for all positive integers $i$ which are less than or equal to $n+1$, where the ordering of 'coefficients' is determined by the exponent of the indeterminate associated therewith (when treated as a function); thus, the last entry is the constant term (when treated as a function), the penultimate term is the coefficient of the argument of x5 (when treated as a function), and the first term is the coefficient of the argument of x5 exponentiated by $n$ (which is the degree x3 of the polynomial x1); in other words, the $i$th entry of x2 (where indexing of the ordered list starts at $1$) is the coefficient of $x^(n-i+1)$, where $x_5 = x$ is the indeterminate. "ze'ai'au" enables for reversal of x2 so that the first-uttered term is the constant, the next-uttered term is the coefficient of the linear term, ..., and the last ((n+1)st) term is the coefficient of the most-significant term in the polynomial ($x^n$). See also: "tefsujme'o" (brivla: polynomial function), "po'i'oi" (basically, the mekso equivalent to this word), "po'i'ei". Place Keywords: 3. degree in the sense of "polynomial"