The Inner Product and Conjugate of Finite Sequences of Complex Numbers
Wenpai Chang, Hiroshi Yamazaki, Yatsuka Nakamura · 2005
Summary. The concept of “the inner product and conjugate of finite sequences of complex numbers” is defined here. Addition, subtraction, scalar multiplication and inner product are introduced using correspondent definitions of “conjugate of finite sequences of field”. Many equations for such operations consist like a case of “conjugate of finite sequences of field”. Some operations on the set of n-tuples of complex numbers are introduced as well. Additionally, difference of such n-tuples, complement of a n-tuple and multiplication of these are defined in terms of complex numbers.