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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