Adam Chapman
Abstract
In this paper, we present a solution for any standard quaternion quadratic equation, i.e. an equation of the form z2 + μz + ν = 0 where μ and ν belong to some quaternion division algebra Q over some field F, assuming the characteristic of F is 2.
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In this paper, we present a solution for any standard quaternion quadratic equation, i.e. an equation of the form z2 + μz + ν = 0 where μ and ν belong to some quaternion division algebra Q over some field F, assuming the characteristic of F is 2.
Key concepts: Quaternion, Mathematics, Quaternion algebra, Quadratic equation, Division algebra, Algebra over a field, Pure mathematics, Quadratic form (statistics)