LAUSR

On the graded dual numbers, arcs, and non-crossing partitions of the integers

Sign Up to like & get
recommendations!
1 Published in 2018 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2018.08.023

Abstract: We give a combinatorial model for the bounded derived category of graded modules over the dual numbers in terms of arcs on the integer line with a point at infinity. Using this model we describe… read more here.

Keywords: graded dual; derived category; crossing partitions; non crossing ... See more keywords

Space Flyaround and In-orbit Inspection Coupled Control Based on Dual Numbers

Sign Up to like & get
recommendations!
1 Published in 2018 at "Journal of Navigation"

DOI: 10.1017/s0373463318000176

Abstract: In this paper, both the proportional derivative feedback control and variable-structure sliding mode control approaches based on dual numbers are presented to design space flyaround and in-orbit inspection missions. Dual-number-based spacecraft kinematics and dynamics models… read more here.

Keywords: control; based dual; orbit inspection; space flyaround ... See more keywords

Polynomial functions on rings of dual numbers over residue class rings of the integers

Sign Up to like & get
recommendations!
1 Published in 2021 at "Mathematica Slovaca"

DOI: 10.1515/ms-2021-0039

Abstract: Abstract The ring of dual numbers over a ring R is R[α] = R[x]/(x2), where α denotes x + (x2). For any finite commutative ring R, we characterize null polynomials and permutation polynomials on R[α]… read more here.

Keywords: numbers residue; residue class; rings dual; dual numbers ... See more keywords

DUAL NUMBERS ARITHMETIC IN MULTI AXIS MACHINE ERROR MODELING

Sign Up to like & get
recommendations!
0 Published in 2017 at "MM Science Journal"

DOI: 10.17973/mmsj.2017_02_2016210

Abstract: and thus more convenient setting can be used. As algebraically the properties of , , xx yx zx ň ň ň coincide we can consider these as the coefficient of one element only and thus… read more here.

Keywords: arithmetic multi; error; numbers arithmetic; multi axis ... See more keywords

Dual Numbers and Operational Umbral Methods

Sign Up to like & get
recommendations!
1 Published in 2019 at "Axioms"

DOI: 10.3390/axioms8030077

Abstract: Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel… read more here.

Keywords: numbers operational; operational umbral; dual numbers; umbral methods ... See more keywords