Journal of Formalized Mathematics
Volume 15, 2003
University of Bialystok
Copyright (c) 2003
Association of Mizar Users
The Inner Product of Finite Sequences
and of Points of $n$-dimensional Topological Space
-
Kanchun
-
Shinshu University, Nagano
-
Yatsuka Nakamura
-
Shinshu University, Nagano
Summary.
-
First, we define the inner product to finite sequences of
real value.
Next, we extend it to points of $n$-dimensional topological
space ${\calE}^{n}_{\rmT}$.
At the end, orthogonality is introduced to this space.
The terminology and notation used in this paper have been
introduced in the following articles
[12]
[3]
[1]
[10]
[8]
[2]
[4]
[7]
[9]
[5]
[6]
[11]
-
Preliminaries
-
Inner Product of Finite Sequences
-
Inner Product of Points of ${\calE}^{n}_{\rmT}$
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Received February 3, 2003
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