Add to ORKGThe set of transcomplex numbers, introduced elsewhere, is a superset of the complex numbers that allows division by zero. Here we introduce a topology for the transcomplex numbers and extended the elementary functions from the complex domain to the transcomplex domain. We give a geometrical construction of non-finite angles and discuss the totalisation of computer subroutines to provide transcomplex functions
Transreal arithmetic is a total arithmetic that contains real arithmetic, but which has no arithmeti...
This paper proposes an extension of the complex numbers, adding further imaginary units and preservi...
Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which ...
A geometrical construction of the transcomplex numbers was given elsewhere. Here we simplify the tr...
<p>New title: Construction of the Transcomplex Numbers From the Complex Numbers.</p> <p>Transcomplex...
The usual complex integral is defined in terms of complex numbers in Cartesian form but transcomplex...
The transreal numbers are a total number system in which even, arithmetical operation is well define...
<p>We extend all elementary functions from the real to the transreal domain so that they are defined...
We introduce transreal analysis as a generalisation of real analysis. We find that the generalisatio...
Transreal arithmetic totalises real arithmetic by defining division by zero in terms of three defini...
We extend all elementary functions from the real to the transreal domain so that they are defined on...
AbstractMost well-known transcendental functions usually take transcendental values at algebraic poi...
The set of transreal numbers is a superset of the real numbers. It totalises real arithmetic by def...
<p>We show that transcomplex numbers can be modelled by real, homogeneous co-ordinates with arbitrar...
Real numbers are divided into rational and irrational numbers. Students learn about this division al...
Transreal arithmetic is a total arithmetic that contains real arithmetic, but which has no arithmeti...
This paper proposes an extension of the complex numbers, adding further imaginary units and preservi...
Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which ...
A geometrical construction of the transcomplex numbers was given elsewhere. Here we simplify the tr...
<p>New title: Construction of the Transcomplex Numbers From the Complex Numbers.</p> <p>Transcomplex...
The usual complex integral is defined in terms of complex numbers in Cartesian form but transcomplex...
The transreal numbers are a total number system in which even, arithmetical operation is well define...
<p>We extend all elementary functions from the real to the transreal domain so that they are defined...
We introduce transreal analysis as a generalisation of real analysis. We find that the generalisatio...
Transreal arithmetic totalises real arithmetic by defining division by zero in terms of three defini...
We extend all elementary functions from the real to the transreal domain so that they are defined on...
AbstractMost well-known transcendental functions usually take transcendental values at algebraic poi...
The set of transreal numbers is a superset of the real numbers. It totalises real arithmetic by def...
<p>We show that transcomplex numbers can be modelled by real, homogeneous co-ordinates with arbitrar...
Real numbers are divided into rational and irrational numbers. Students learn about this division al...
Transreal arithmetic is a total arithmetic that contains real arithmetic, but which has no arithmeti...
This paper proposes an extension of the complex numbers, adding further imaginary units and preservi...
Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which ...