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This paper describes the synthesis of a numerical method, to compute Modular Inverse Matrices and so, Modular Linear Equations Systems (with one, infinite or no-solution set), with no theoretical limit, in đđ; considering polynomial and logarithmic time computational complexity. The geometric interpretation of this, implies that elements, such as planes, lines and vectors of these spaces, interact in the n-dimensional grid. The interaction in the Grid, can only be possible in a discrete way; from one point to another, like digital states. On the other hand, this work also considers applied mathematics solving the âGauss-Jacquesâ function obtaining quaternionic linear equation in fields such as Modular Linear Algebra and Modular Multilinear Algebra. Based on research, it was concluded that this method is a math function, because its attributes described in this work. Furthermore, it can be coded in any computer language making libraries. The equation as a logic entity is validated using logic systems witnessing âInverse Migration Fieldâ transport. This work constitutes a deep analysis in numerical methods, for modular inverse matrix computation as well as a prolegomenon to Modular Linear Algebra. Technological & Scientific uses and applications of this work are numerous.
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Jul 20, 2024, 3:41 PM
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Declaration Date:
Jul 20, 2024, 3:41 PM
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Title Modular Inverse Matrix Computation & Linear Equations A Digital Frontier Composition
This paper describes the synthesis of a numerical method, to compute Modular Inverse Matrices and so, Modular Linear Equations Systems (with one, infinite or no-solution set), with no theoretical limit, in đđ; considering polynomial and logarithmic time computational complexity. The geometric interpretation of this, implies that elements, such as planes, lines and vectors of these spaces, interact in the n-dimensional grid. The interaction in the Grid, can only be possible in a discrete way; from one point to another, like digital states. On the other hand, this work also considers applied mathematics solving the âGauss-Jacquesâ function obtaining quaternionic linear equation in fields such as Modular Linear Algebra and Modular Multilinear Algebra. Based on research, it was concluded that this method is a math function, because its attributes described in this work. Furthermore, it can be coded in any computer language making libraries. The equation as a logic entity is validated using logic systems witnessing âInverse Migration Fieldâ transport. This work constitutes a deep analysis in numerical methods, for modular inverse matrix computation as well as a prolegomenon to Modular Linear Algebra. Technological & Scientific uses and applications of this work are numerous.
Work type Technical
Tags numerical analysis, inverse migration field., the jacques equation, modular inverse matrices, gauss-jacques
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Identifier 2407208739219
Entry date Jul 20, 2024, 3:41 PM UTC
License Creative Commons Attribution-NonCommercial-ShareAlike 4.0
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Author. Holder Fausto Abraham Jacques GarcĂa. Date Jul 20, 2024.
Information available at https://www.safecreative.org/work/2407208739219-modular-inverse-matrix-computation-linear-equations-a-digital-frontier-composition
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