In this video I show that the previous result of "multiplying a number and its vortex sum yields the same vortex sum" can be written in its equivalent modulo multiplication identity. Since we have already established that the vortex sum of an integer (summing the digits until we get a single digit) is the same as the modulo of that number with the modulus being the base - 1, we can rewrite the vortex sums using the modulo operations. In general, if we have integers A, B, and C, then we have the identity AB mod C = [A·(B mod C)] mod C. Furthermore we can apply this same identity with the integers inside the bracket to also get it equal to [( A mod C)(B mod C)] mod C and [(A mod C)·B] mod C. Pretty epic stuff! YouTube - Summary - Notes - Playlist - MES Science playlist
#math #vortexmath #modulararithmetic #numbertheory #education