maths crossword

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Across
  1. 3. A relation expressing sequence terms in terms of earlier terms — central to solving counting problems and generating functions.
  2. 6. A binary relation that is reflexive, antisymmetric and transitive(no space)
  3. 7. The set containing every subset of a given set; frequently used when counting substructures and proving combinatorial identities.
  4. 9. An algebraic structure in which every two elements have a greatest lower bound and least upper bound
  5. 10. The principle that forces at least two items into the same box when more pigeons than holes are available
Down
  1. 1. A walk that uses every edge exactly once but need not return to its start — existence depends on vertex degrees.
  2. 2. Name the 18th-century mathematician after whom the theorem relating subgroup orders to group orders is named
  3. 4. A formula that evaluates to true under every valuation
  4. 5. The operation that combines two functions (or relations) where the output of one becomes the input of the other; formalize with maps and domains.
  5. 8. Term that describes a tree (or other subgraph) that contains every vertex of the original graph.