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### The Squeeze Principle of the Sequence of Hyperbolic Numbers

#### Author(s)

Bingyi Lyu 1, Hengcheng Zhao 2

#### Affiliation(s)

1 School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China
2 Department of Mathematics, Shihezi University, Shihezi, 832003, China

Bingyi Lyu

#### ABSTRACT

The hyperbolic numbers have an analogous composition with the complex numbers, which are composed by two real numbers, generating an exchangeable ring. That is to mean, the hyperbolic numbers can be viewed as the generalization of real numbers. In this article, we have proved the squeeze principle of the sequence of hyperbolic numbers. This article fills the gap in the field, and provides a new angle to prove the convergence of the sequence of the hyperbolic numbers. The result of this article constructs the basis for the future research on the hyperbolic numbers and the hyperbolic number plane. Meanwhile this article offers a new way to apply the squeeze principle of the sequence of hyperbolic numbers to the engineering.

#### KEYWORDS

Squeeze Principle, the Sequence of Hyperbolic Number, Hyperbolic Number Plane

#### CITE THIS PAPER

Bingyi Lyu, Hengcheng Zhao, The Squeeze Principle of the Sequence of Hyperbolic Numbers. Transactions on Computational and Applied Mathematics (2024) Vol. 4: 56-61. DOI: http://dx.doi.org/10.23977/tracam.2024.040108.

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