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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
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definition 
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} 
notes 
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 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 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 of the polynomial). See also: tefsujme'o (polynomial function)

gloss words 

place keywords 
1.
degree ; polynomial

created by 
krtisfranks 
vote information 
2

time 
Sat Apr 30 18:16:33 2016 

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