Partial Differentiation on Normed Linear Spaces Rn
نویسندگان
چکیده
منابع مشابه
Partial Differentiation on Normed Linear Spaces Rn
Let i, n be elements of N. The functor proj(i, n) yielding a function from Rn into R is defined by: (Def. 1) For every element x of Rn holds (proj(i, n))(x) = x(i). Next we state two propositions: (1) dom proj(1, 1) = R1 and rng proj(1, 1) = R and for every element x of R holds (proj(1, 1))(〈x〉) = x and (proj(1, 1))−1(x) = 〈x〉. (2)(i) (proj(1, 1))−1 is a function from R into R1, (ii) (proj(1, 1...
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2007
ISSN: 1898-9934,1426-2630
DOI: 10.2478/v10037-007-0008-5