jbovlaste: Dictionary Record: cpolinomi'a

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Dictionary record

This is a "best guess" listing for the word "cpolinomi'a" in language English, meaning that only one of the definitions for this word will be shown (the one with the highest total votes). See all the definitions for cpolinomi'a.

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valsi	cpolinomi'a
type	fu'ivla
creator	krtisfranks
time entered	Tue Jan 21 19:08:15 2014

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English

Definition #44334 - Preferred [edit]


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 ith entry/term is the (n - i + 1)th 'coefficient', for all natural numbers i between 1 and n + 1 inclusively, 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 of the polynomial). See also: tefsujme'o (polynomial function)
gloss words	coefficient ; polynomial coefficient ring ; of polynomial indeterminant ; of formal polynomial polynomial ; formal, ring element (not as: a function or a funcion evaluated at a particular input value)
place keywords	1. degree ; polynomial
created by	krtisfranks
vote information	2
time	Sat Apr 30 18:16:33 2016
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Etymology

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