Definition:Polynomial Addition/Sequence
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Definition
Let:
- $f = \sequence {a_k} = \tuple {a_0, a_1, a_2, \ldots}$
and:
- $g = \sequence {b_k} = \tuple {b_0, b_1, b_2, \ldots}$
be polynomials over a field $F$.
Then the operation of (polynomial) addition is defined as:
- $f + g := \tuple {a_0 + b_0, a_1 + b_1, a_2 + b_2, \ldots}$
Sources
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $6$: Polynomials and Euclidean Rings: $\S 25$. Polynomials