On lp-Complex Numbers

More Emphasis on Complex Numbers

Complex Numbers

In spite of Calvin’s discomfiture, imaginary numbers (a subset of the set of complex numbers) exist and are invaluable in mathematics, engineering, and science. In fact, in certain fields, such as electrical engineering, aeronautical engineering and quantum mechanics, progress has been critically dependent on complex numbers and their behavior. In the context of mathematical biology, a number o...

Complex Numbers

This article discusses some introductory ideas associated with complex numbers, their algebra and geometry. This includes a look at their importance in solving polynomial equations, how complex numbers add and multiply, and how they can be represented. Finally we look at the nth roots of unity, that is, the solutions of the equations z = 1. 1 The Need For Complex Numbers The shortest path betwe...

On Weak-Space Complexity over Complex Numbers

Defining a feasible notion of space over the Blum-Shub-Smale (BSS) model of algebraic computation is a long standing open problem. In an attempt to define a right notion of space complexity for the BSS model, Naurois [CiE, 2007] introduced the notion of weak-space. We investigate the weak-space bounded computations and their plausible relationship with the classical space bounded computations. ...

On the complex k-Fibonacci numbers

Abstract: We first study the relationship between the k-Fibonacci numbers and the elements of a subset of Q. Later, and since generally studies that are made on the Fibonacci sequences consider that these numbers are integers, in this article, we study the possibility that the index of the k-Fibonacci number is fractional; concretely, 2n+1 2 . In this way, the k-Fibonacci numbers that we obtain...