Modern mathematics https://matistics.com Wed, 14 Jan 2026 16:11:33 +0000 en-US hourly 1 https://wordpress.org/?v=6.9.4 https://matistics.com/wp-content/uploads/2024/05/cropped-logo1-Copy-2-32x32.jpg Modern mathematics https://matistics.com 32 32 The Two Types of Function Definitions: “Specified on Elements” vs “Not Specified on Elements” https://matistics.com/the-two-types-of-function-definitions-specified-on-elements-vs-not-specified-on-elements/ https://matistics.com/the-two-types-of-function-definitions-specified-on-elements-vs-not-specified-on-elements/#respond Wed, 14 Jan 2026 12:03:11 +0000 https://matistics.com/?p=9917 https://matistics.com/the-two-types-of-function-definitions-specified-on-elements-vs-not-specified-on-elements/feed/ 0 Algebraic Structures | Solving the Matrix Commutator MX = XM | if P , Q ∈ B, then P*Q ∈ B? https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-if-p-q-%e2%88%88-b-then-pq-%e2%88%88-b-2/ https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-if-p-q-%e2%88%88-b-then-pq-%e2%88%88-b-2/#respond Wed, 14 Jan 2026 06:09:45 +0000 https://matistics.com/?p=9904 https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-if-p-q-%e2%88%88-b-then-pq-%e2%88%88-b-2/feed/ 0 Algebraic Structures | Solving the Matrix Commutator MX = XM | if P , Q ∈ B, then P+Q ∈ B? https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-if-p-q-%e2%88%88-b-then-pq-%e2%88%88-b/ https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-if-p-q-%e2%88%88-b-then-pq-%e2%88%88-b/#respond Wed, 14 Jan 2026 05:38:33 +0000 https://matistics.com/?p=9899 https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-if-p-q-%e2%88%88-b-then-pq-%e2%88%88-b/feed/ 0 Algebraic Structures | Solving the Matrix Commutator MX = XM | Which of the Matrix in A belongs to B ? https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-which-of-the-matrix-in-a-belongs-to-b/ https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-which-of-the-matrix-in-a-belongs-to-b/#respond Wed, 14 Jan 2026 05:20:37 +0000 https://matistics.com/?p=9888 https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-which-of-the-matrix-in-a-belongs-to-b/feed/ 0 Algebraic Structures | Solving the Matrix Commutator MX = XM | f: R+→Z map a positive real number to the first digit to the right of the decimal point : Well-defined ? https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-f-r%e2%86%92z-map-a-positive-real-number-to-the-first-digit-to-the-right-of-the-decimal-point-well-defined/ https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-f-r%e2%86%92z-map-a-positive-real-number-to-the-first-digit-to-the-right-of-the-decimal-point-well-defined/#respond Tue, 13 Jan 2026 18:06:49 +0000 https://matistics.com/?p=9879 https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-f-r%e2%86%92z-map-a-positive-real-number-to-the-first-digit-to-the-right-of-the-decimal-point-well-defined/feed/ 0 Algebraic Structures | Solving the Matrix Commutator MX = XM | f:Q→Q, defined by f(a/b)=a^2/b^2. | well-defined ? https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-fq%e2%86%92q-defined-by-fa-ba2-b2-not-well-defined/ https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-fq%e2%86%92q-defined-by-fa-ba2-b2-not-well-defined/#respond Tue, 13 Jan 2026 17:13:47 +0000 https://matistics.com/?p=9870 https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-fq%e2%86%92q-defined-by-fa-ba2-b2-not-well-defined/feed/ 0 Algebraic Structures | Solving the Matrix Commutator MX = XM | is 2 x 2 matrices with real number well-defined ? https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-is-2-x-2-matrices-with-real-number-well-defined/ https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-is-2-x-2-matrices-with-real-number-well-defined/#respond Tue, 13 Jan 2026 11:10:31 +0000 https://matistics.com/?p=9866 https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-is-2-x-2-matrices-with-real-number-well-defined/feed/ 0 Algebraic Structures | Solving the Matrix Commutator MX = XM | f:Q→Z, defined by f(a/b)=a | well-defined ? https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-fq%e2%86%92z-defined-by-fa-ba-not-well-defined/ https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-fq%e2%86%92z-defined-by-fa-ba-not-well-defined/#respond Tue, 13 Jan 2026 10:55:34 +0000 https://matistics.com/?p=9863 https://matistics.com/algebraic-structures-solving-the-matrix-commutator-mx-xm-fq%e2%86%92z-defined-by-fa-ba-not-well-defined/feed/ 0