10th Grade Math Vocabulary Crossword

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Across
  1. 3. Function from one vector space to another that respects the linear structure of each vector space
  2. 6. Injective homomorphism
  3. 7. Greatest upper bound of a set
  4. 9. Least upper bound of a set
  5. 10. Way to encode each possible permutation of a sequence of n numbers
  6. 12. Set of elements of G which leave x unchanged under the action
  7. 15. Representation of an infinite sequence of numbers as the coefficients of a formal power series
  8. 16. Function f whose Taylor series evaluated and centered anywhere always matches f(x)
  9. 17. A vector which when operated on by a given operator gives a scalar multiple of itself
  10. 19. Sequence of vectors such that each consecutive difference lies in the set of steps
  11. 20. Series counting triangulations
Down
  1. 1. Type of vector field that is the gradient of some function
  2. 2. All possible destinations of an element under the group action
  3. 4. Theorem that states that a bounded sequence must have a convergent subsequence
  4. 5. Map between two groups such that the group operation is preserved
  5. 8. Sequence whose elements become arbitrarily close to each other as the sequence progresses
  6. 11. Number such that a given matrix minus that number times the identity matrix has zero determinant
  7. 13. Surjective homomorphism
  8. 14. Conversion of a matrix into diagonal form
  9. 18. Relation that is reflexive, symmetric, and transitive