Across
- 3. - A type of integral that generalizes the notion of summing function values over an interval (Lebesgue integral).
- 4. - A mathematical function that relates a complex variable to its analytic continuation.
- 5. - A space in which the distances and angles are defined in terms of inner products (Hilbert space).
- 8. - An algebraic structure consisting of a set equipped with two operations satisfying specific axioms.
- 10. - The branch of mathematics concerning the study of rates of change and accumulation.
- 12. - A method to numerically approximate solutions to equations (Newton's method).
- 15. - A polynomial equation that remains invariant under a group of symmetries (Invariant theory).
- 16. - A sequence where each term after the first is the sum of the two preceding terms.
- 17. - A theorem that generalizes the Fundamental Theorem of Algebra to polynomials over a ring.
- 18. - A function that assigns a real number to each pair of points in a set, defining a notion of distance.
- 20. - A branch of mathematics dealing with the properties and relationships of numbers, especially the positive integers.
Down
- 1. - The process of mapping a higher-dimensional space onto a lower-dimensional space using a continuous function.
- 2. - A sequence defined by a recurrence relation.
- 6. - A field of mathematics that studies spaces and the continuous mappings between them.
- 7. - A structure in abstract algebra involving a set equipped with an associative binary operation and an identity element.
- 9. - The number of linearly independent vectors in a vector space.
- 11. - The set of points where a function is not differentiable.
- 13. - A theorem that describes the asymptotic distribution of eigenvalues of a large matrix (Weyl's law).
- 14. - A type of series with a constant ratio between successive terms.
- 19. - The measure of disorder or randomness in a system, often associated with thermodynamics and information theory.