x_{1} is a formal polynomial with coefficients x2 (ordered list) of degree x_{3} (li; nonnegative integer) over structure/ring x_{4} (to which coefficients x_{2} all belong) and in indeterminant x_{5}.

x_{3} must be greater than or equal to the number of entries in x_{2}; if these two values are not equal, then the explicitly mentioned entries of x_{2} 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 x_{2} is presented as an ordered list, the entries represent the 'coefficients' of the particular polynomial and are specified in the order such that the ith 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 x_{5} (when treated as a function), and the first term is the coefficient of the argument of x_{5} exponentiated by n (which is the degree x_{3} of the polynomial x_{1}); in other words, the ith entry of x_{2} (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 x_{2} 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".

- tefsujme'o
- m
_{1}is a polynomial function in variable t_{2}=s_{2}of degree (maximum power with nonzero coefficient) t_{3}interpreted by rules m_{2} - po'i'oi
- mekso at-most-3-ary operator: convert to polynomial; X
_{1}(ordered list of algebraic structure (probably field) elements) forms the (ordered list of) coefficients of a polynomial/Laurent-like series with respect to indeterminate X_{2}under ordering rule X_{3}(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)