The Logical Language Group Online Dictionary Query

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To improve the quality of results, jbovlaste search does not return words with insufficient votes. To qualify to be returned in search results, a proposed lujvo is required to have received a vote in favor in both directions: for instance, in English to Lojban and in Lojban to English.

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1 definition found
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"

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