Results 81 to 90 of about 2,550,362 (221)

Algebraic properties of external numbers

Journal of Logic and Analysis, 2011
Bruno Dinis, Imme van den Berg
doaj   +1 more source

On complex hybrid numbers: Algebraic structures, matrix representations, and geometric interpretations

Kuwait Journal of Science
This work introduces complex hybrid numbers, an extension of hybrid numbers, which are defined as Z = z0 + z1i + z2ɛ + z3ℎ where zi are complex numbers and iℎ = −ℎi = i + ɛ.
Furkan Seçgin, Çağla Ramis İlgüz, İsmail Gök   +2 more
doaj   +1 more source

A Note on Hybrid Numbers with Generalized Hybrid k-Pell Numbers as Coefficients

Communications in Advanced Mathematical Sciences
In this study, we define a new generalization of the hybrid $k$-Pell sequence consisting of hybrid numbers with generalized hybrid $k$-Pell numbers as coefficients.
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

(t, i, f)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited) [PDF]

Neutrosophic Sets and Systems, 2015
This paper is an improvement of our paper “(t, i, f)-Neutrosophic Structures” [1], where we introduced for the first time a new type of structures, called (t, i, f)Neutrosophic Structures, presented from a neutrosophic logic perspective, and we showed ...
Florentin Smarandache
doaj  

Colour by Numbers in Excel 2007: Solving Algebraic Equations Without Algebra

Spreadsheets in Education, 2010
This is an update of an earlier paper, and is written for Excel 2007. A series of Excel 2007 models is described. The more advanced versions allow solution of f(x)=0 by examining change of sign of function values.
Stephen Sugden
doaj   +2 more sources

A Hyper-Dual Number Approach to Higher-Order Derivative Computation

Axioms
This paper develops a theoretical framework for the computation of higher-order derivatives based on the algebra of hyper-dual numbers. Extending the classical dual number system, hyper-dual numbers provide a natural and rigorous mechanism for encoding ...
Ji Eun Kim
doaj   +1 more source

Polynomial Computability of Fields of Algebraic Numbers

Doklady Akademii Nauk, 2018
P. Alaev, V. Selivanov
semanticscholar   +1 more source

On the density function of the distributionof real algebraic numbers

, 2017
D. Koleda
semanticscholar   +1 more source

Elementary and Analytic Theory of Algebraic Numbers

, 1990
W. Narkiewicz
semanticscholar   +1 more source

A modular, efficient formalisation of real algebraic numbers

Certified Programs and Proofs, 2016
Wenda Li, Lawrence Charles Paulson
semanticscholar   +1 more source