2020Solid State TechnologyRequires access

Determining the Minkowski Difference and Sum of Some Sets

Jalolxon Nuritdinov Tursunboy Ugli

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Abstract

The sets of Minkowski algebraic sum and geometric difference are considered. This paper investigates the geometric properties of the Minkowski algebraic sum and the geometric difference of sets. Various examples are considered that calculate the geometric differences of sets. This paper also shows methods for finding the Minkowski sum and difference of circles in a plane.

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What this paper is about

The sets of Minkowski algebraic sum and geometric difference are considered. This paper investigates the geometric properties of the Minkowski algebraic sum and the geometric difference of sets. Various examples are considered that calculate the geometric differences of sets. This paper also shows methods for finding the Minkowski sum and difference of circles in a plane.

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Available abstract

The sets of Minkowski algebraic sum and geometric difference are considered. This paper investigates the geometric properties of the Minkowski algebraic sum and the geometric difference of sets. Various examples are considered that calculate the geometric differences of sets. This paper also shows methods for finding the Minkowski sum and difference of circles in a plane.

Key concepts: Minkowski space, Minkowski addition, Mathematics, Algebraic number, Minkowski's theorem, Plane (geometry), Geometric mean, Algebraic properties

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