“dual space (algebraic)”的概念、定义、翻译、参考文献-科学参考

单词	dual space (algebraic)
释义	dual space (algebraic) Mathematics Given a vector space V over a field F, the (algebraic) dual space V* is the vector space of linear functionals φ‎:V→F with addition and scalar multiplication defined pointwise. $\begin{matrix} (φ_{1} + φ_{2}) (v) = φ_{1} (v) + φ_{2} (v), \\ (c φ) (v) = c (φ (v)) . \end{matrix}$ If V is finite-dimensional, then V* has the same dimension (see dual basis).
随便看	necessary existence necessary identity necessitation necessity Necker, Jacques (1732–1804) necrology necrosis nectar Nectarian Nectarian system needle ice needle problem needs Ne'eman, Yuval Nefertiti (14th century bc) negation negation as failure negative negative acknowledgment negative bias negative binomial distribution negative booster negative charge negative correlation negative direction

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