Nerd Math Words!

6. Scalar associated with linear transformation, describing transformations applied to vectors.
7. Unsolved conjecture in NT that states all non-trivial zeros of the Riemann Zeta function have a real part equal to 1/2.
11. Splitting of a main body into two parts. Often used when small change in parameter causes significant change in behavior of system.
12. Fundamental result in linear algebra and analysis examining relation between two vectors, their magnitudes, and their inner product.
13. Concept in topology that describes the ability to continuously deform one function or space into another without breaking it.
15. Canonical form of a matrix representing a linear transformation, generalizing diagonalization for non-diagonalizable matrices.
16. Complex function defined as a sum over all natural numbers raised to a power.

1. Generalization of three-dimensional space, with n degrees of freedom or dimensions.
2. Non-orientable surface with no distinct inside or outside.
3. Formula relating number of vertices, edges, and faces of a convex polyhedron.
4. Equation that seeks integer solution, named after ancient Greek mathematician.
5. Concept used to denote number of elements in a set.
8. Mathematical concept that describes a structure-preserving map between two objects.
9. Statement in vector calculus that relates a surface integral of a vector field over a surface to a line integral around the boundary curve of the surface.
10. Integral which is important in probability and quantum mechanics.
14. Complex geometric object with self-similarity at different scales.