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.

#### MML Identifier: EUCLID_2

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]

#### Contents (PDF format)

1. Preliminaries
2. Inner Product of Finite Sequences
3. Inner Product of Points of \${\calE}^{n}_{\rmT}\$

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