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Modern Algebra
Simple example of *abstract algebra with modular groups* to *Pick 3*, using the group *Z * (integers modulo 10), since the lottery digits range from 0 to 9. --- *1. Defining the group: Z * Z = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, with *addition modulo 10* This group is *cyclic* and can be generated by *1 or 3*, for example: - Generator 1: 1, 2, 3, ..., 9, 0 - Generator 3: 3, 6, 9, 2, 5, 8, 1, 4, 7, 0 --- *2. Example of a drawn number: 7-3-9* Let's represent it as a *v
Dec 3, 2025, 5:26 am - tokecap - Mathematics Forum