Zobrazeno 1 - 10
of 767
pro vyhledávání: '"Dieter Richter"'
Autor:
Wolf-Dieter Richter
Publikováno v:
Stats, Vol 6, Iss 4, Pp 1072-1081 (2023)
Based upon the vector representation of complex numbers and the vector exponential function, we introduce the vector representation of characteristic functions and consider some of its elementary properties such as its polar representation and a vect
Externí odkaz:
https://doaj.org/article/ef2cb2fc96e84c7a913fce6b5599ffb1
Autor:
Wolf-Dieter Richter
Publikováno v:
Symmetry, Vol 16, Iss 1, p 9 (2023)
Movements on surfaces of centered Euclidean spheres and changes between those with different radii mean complex multiplication in R3. Here, the Euclidean norm, which generates the spheres, is replaced with an inhomogeneous functional and a product is
Externí odkaz:
https://doaj.org/article/a28d1c71f6de47e2b9c0767f45d17563
Autor:
Wolf-Dieter Richter
Publikováno v:
Stats, Vol 3, Iss 3, Pp 330-342 (2020)
We prove that the Behrens–Fisher statistic follows a Student bridge distribution, the mixing coefficient of which depends on the two sample variances only through their ratio. To this end, it is first shown that a weighted sum of two independent no
Externí odkaz:
https://doaj.org/article/3cc7a5f4636746b19e33539a9428ed08
Autor:
Wolf-Dieter Richter
Publikováno v:
Axioms, Vol 12, Iss 1, p 60 (2023)
Based upon a new general vector-valued vector product, generalized complex numbers with respect to certain positively homogeneous functionals including norms and antinorms are introduced and a vector-valued Euler type formula for them is derived usin
Externí odkaz:
https://doaj.org/article/73dc88c36c5946a68e2dc58fa6ce2aed
Autor:
Wolf-Dieter Richter
Publikováno v:
Applied Sciences, Vol 12, Iss 12, p 5844 (2022)
For dimensions two, three and four, we derive hyperbolic complex algebraic structures on the basis of suitably defined vector products and powers which allow in a standard way a series definitions of the hyperbolic vector exponential function. In doi
Externí odkaz:
https://doaj.org/article/2846d5f865564c958ebbe9c2db416886
Autor:
Wolf-Dieter Richter
Publikováno v:
Axioms, Vol 11, Iss 1, p 22 (2022)
The geometric approach to generalized complex and three-dimensional hyper-complex numbers and more general algebraic structures being based upon a general vector space structure and a geometric multiplication rule which was only recently developed is
Externí odkaz:
https://doaj.org/article/005f88d3cb2849bba5b39288f97fb7ae
Autor:
Wolf-Dieter Richter
Publikováno v:
Axioms, Vol 10, Iss 4, p 340 (2021)
We generalize the property of complex numbers to be closely related to Euclidean circles by constructing new classes of complex numbers which in an analogous sense are closely related to semi-antinorm circles, ellipses, or functionals which are homog
Externí odkaz:
https://doaj.org/article/8e1eb87cf5bb49338d40eb0d36fd1887
Autor:
Wolf-Dieter Richter
Publikováno v:
Symmetry, Vol 13, Iss 2, p 342 (2021)
Three-complex numbers are introduced for using a geometric vector product in the three-dimensional Euclidean vector space R3 and proving its equivalence with a spherical coordinate product. Based upon the definitions of the geometric power and geomet
Externí odkaz:
https://doaj.org/article/9f477ade3d574da2b6c6c1ffe8d03cf0
This volume collects refereed contributions based on the presentations made at the Sixth Workshop on Advanced Mathematical and Computational Tools in Metrology, held at the Istituto di Metrologia “G. Colonnetti” (IMGC), Torino, Italy, in Septembe
