School of Mathematics - Pi Day Crossword - 14 March 2025

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Across
  1. 4. Conjecture: every even integer greater than 2 can be expressed as the sum of two primes.
  2. 8. Algorithm improves the standard complexity of multiplying two matrices.
  3. 10. A function holomorphic on the entire complex plane and bounded must be constant.
  4. 11. Is there a set whose cardinality is strictly between that of the integers and the real numbers?
  5. 14. A mathematician, a physicist, and an engineer are locked in separate rooms with only a can of food but no can opener. Who assumes the can is already open?
  6. 15. Accurately estimated π(pi) and was killed by a Roman soldier.
  7. 16. Every finite group of prime power order has a nontrivial normal subgroup.
  8. 18. The set of real numbers is strictly larger than the set of natural numbers using a diagonal argument.
  9. 19. Lost a mathematical paper on a bus, delaying the proof of the matrix determinant lemma by 30 years.
  10. 23. In the book, "Gödel, Escher, Bach," which mathematical concept connects logic, art, and music?
  11. 24. Formulated the uncertainty principle in quantum mechanics.
  12. 25. A four-dimensional extension of complex numbers and is non-commutative.
Down
  1. 1. Proved the incompleteness theorem, showing some truths are unprovable.
  2. 2. The set of points whose distances from a fixed point and a fixed line are in a constant ratio.
  3. 3. Was solving polynomial equations using a triangular array centuries before Pascal.
  4. 5. For any continuous function mapping a disk to itself, there is at least one point that is mapped to itself.
  5. 6. Mathematician who invented a notation for calculus but is often overshadowed by Newton.
  6. 7. Allegedly died after proving that the gods would be angry if the √2 existed.
  7. 9. Why can’t you divide by zero? Also a breakdown in spacetime physics.
  8. 12. Every differentiable symmetry of the action of a physical system corresponds to a conservation law.
  9. 13. Paradox: Achilles will never catch a tortoise.
  10. 17. Father of zero.
  11. 20. Object in algebraic geometry, is a compact, non-orientable surface with no boundary and genus 2.
  12. 21. Two seemingly different sets must have the same size by finding a one-to-one correspondence between them.
  13. 22. One-dimensional and two-dimensional spaces have the same cardinality.