week-01.json
json Container
READ_ONLY_ACCESS[ { "id": "maths1-w01-000", "front": "Power Set cardinality of set A with $n$ elements", "back": "$2^n$" }, { "id": "maths1-w01-001", "front": "Cartesian Product cardinality $|A \\times B|$", "back": "$|A| \\times |B|$" }, { "id": "maths1-w01-002", "front": "De Morgan's Law for $(A \\cup B)'$", "back": "$A' \\cap B'$" }, { "id": "maths1-w01-003", "front": "De Morgan's Law for $(A \\cap B)'$", "back": "$A' \\cup B'$" }, { "id": "maths1-w01-004", "front": "Equivalence Relation properties", "back": "Reflexive, Symmetric, and Transitive" }, { "id": "maths1-w01-005", "front": "Partial Order properties", "back": "Reflexive, Antisymmetric, and Transitive" }, { "id": "maths1-w01-006", "front": "Antisymmetric condition", "back": "If $(a, b) \\in R$ and $(b, a) \\in R$, then $a = b$" }, { "id": "maths1-w01-007", "front": "Injective (one-to-one) condition", "back": "$f(x_1) = f(x_2) \\implies x_1 = x_2$" }, { "id": "maths1-w01-008", "front": "Surjective (onto) condition", "back": "Range of $f$ = Codomain of $f$" }, { "id": "maths1-w01-009", "front": "Bijective function", "back": "Both Injective and Surjective (invertible)" } ]