I love you crossword <3

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Across
  1. 3. A specialized, simplified form of the Euler–Lagrange equation used in the calculus of variations
  2. 4. James Clerk, named the equations
  3. 5. Property of c in all inertial frames
  4. 7. Square arrangement of spins in 2D Ising model
  5. 8. Dimension (abr.)
  6. 9. I sing? No, Ernst's model
  7. 13. A topological space where every point has a neighbourhood that resembles standard Euclidean space
  8. 15. The % of this crossword I understand
  9. 16. An ordered arrangement of \r\ objects taken from a set of \n\ distinct objects, where order matters
  10. 18. A rigorous, logical argument that establishes the truth of a statement beyond any doubt
  11. 20. I love you
  12. 23. _____ said: 'mathematics is the art of giving the same name to different things'
  13. 24. Factor gamma's namesake
  14. 25. Noted expert on combinatorics and analytic number theory
Down
  1. 1. A a bijective and continuous function between topological spaces that has a continuous inverse function
  2. 2. The foundational principle of classical mechanics stating that the laws of motion are identical in all inertial frames of reference
  3. 6. A group where all members can be generated from one element
  4. 10. Mathematical crime
  5. 11. An element of a linear space with magnitude and direction
  6. 12. The branch of mathematics that studies properties of space preserved under continuous deformation
  7. 14. First Greek letter, and what I am in our relationship
  8. 17. Average, or what you say that I am
  9. 19. _____ groups are a class of differentiable manifolds equipped with a compatible group structure
  10. 21. SuPErREsistaL MAN? No, Russian mathematician.
  11. 22. A statement taken to be true without proof
  12. 23. A delicious number that never ends