Across
- 2. A strategy for finding the local maxima and minima of a function subject to equality constraints
- 4. A series of algorithms that endeavors to recognize underlying relationships in a set of data
- 8. A function that outputs the rate at which another function is changing at a given point
- 15. A mathematical operation that is the reverse of differentiation
- 18. Two lines that intersect to form right angles
- 20. A generalization of the notion of a fiber bundle
- 26. An arrangement of objects in a specific order
- 27. The numerical factor in a term of an algebraic expression
- 28. A theoretical device that manipulates symbols on a strip of tape
- 29. An integral concept that extends the simple concept of area
- 31. The longest side of a right-angled triangle
- 32. A quantity that has both magnitude and direction
- 33. A triangle where all sides are equal
- 37. A partitioning of a plane into regions based on distance to points in a specific subset of the plane
- 38. A rectangular array of numbers or symbols
- 40. Two structures that have the same form or structure
- 43. A branch of mathematics initiated by Évariste Galois that provides a connection between field theory and group theory
- 44. A scalar associated with a linear system of equations
- 46. This property allows you to multiply a sum by multiplying each addend separately and then add the products
- 49. A mathematical tool for studying holes in shapes
- 51. A generalization of the concept of Euclidean space
- 54. A fractal with an uncountably infinite number of points, but zero measure
- 56. The study of counting, arrangement, and combination
- 57. A number that can be expressed as a fraction
- 58. A sequence where the difference between any two terms can be made arbitrarily small
- 59. A non-orientable surface with no identifiable inner and outer sides
- 60. A property of operations where the result can depend on the order of the operands
Down
- 1. The product of all positive integers up to a certain number
- 3. A sequence of integers where the difference between any two elements is unique
- 5. A one-dimensional complex manifold
- 6. A point at which a mathematical object is not defined or not "well-behaved"
- 7. The root of a number
- 9. A way of defining derivatives of functions that are not necessarily differentiable in the classical sense
- 10. A mathematical concept in the fields of multivariable calculus, differential topology, and tensors
- 11. The study of relationships involving lengths and angles of triangles
- 12. A property of functions that preserve the action of a group
- 13. A step-by-step procedure to solve a problem
- 14. An ordered list of numbers
- 16. A line touching a curve at a single point without crossing over
- 17. A polynomial of degree
- 19. If multiplied, it results in the identity
- 21. An algebraic expression or equation with more than one term
- 22. A measure of how spread out a set of numbers are
- 23. The smallest convex set that contains all points of a given set
- 24. A function that is both one-to-one and onto
- 25. A vector that does not change direction under a given linear transformation
- 30. A stochastic model describing a sequence of possible events
- 34. A line that a curve approaches, as it heads towards infinity
- 35. The graph of a quadratic function
- 36. The likelihood of a particular event happening
- 39. A number that cannot be expressed as a simple fraction
- 41. A continuous transformation from one function to another
- 42. The operation that switches the row and column indices of a matrix
- 45. A type of equation that involves derivatives
- 47. A group in which the operation is commutative
- 48. A linear ordering of vertices in a directed acyclic graph
- 50. A set endowed with a structure that allows definition of continuity
- 52. A continuous, bijective, inversely continuous function
- 53. A function that counts the positive integers up to a given integer n that are relatively prime to n
- 55. A mathematical space that is locally Euclidean