4 Dima Novo

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Across
  1. 3. (way of deriving a composition of functions)
  2. 5. (a family of geometric objects with a common property)
  3. 7. (a fixed special point of Euclidean space)
  4. 11. (a term that does not contain variables)
  5. 12. (generalizated function in mathematical analysis)
  6. 15. (a binary operation R on a set M that satisfies R(a, b) = -R(b, a) for all a and b in M)
  7. 16. (a number that can be written as a + bi + cj + dk, where i^2 = j^2 = k^2 = ijk = -1)
  8. 18. (a sinusoid plotted in polar coordinates)
  9. 19. (a variable that is bounded to a set of values)
  10. 21. (a way to represent a wave-like function as the sum of simple sine waves)
  11. 22. (a matrix that is reflected over its main diagonal)
  12. 23. (contains only digit 1; like 111, 1111111)
  13. 24. ({x|x = m^n (m, n natural)})
  14. 26. (a cage-like carbon structure C60)
  15. 28. (a measure of "largeness" of a set)
  16. 30. (1 is greatest common divisor of them)
  17. 32. (the region surrounding a local minimum of potential energy)
  18. 35. of reference (an abstract coordinate system + a set of physical reference points)
  19. 36. (x -> 1/x)
  20. 37. (a measure of an atom's combining power with other atoms)
  21. 39. (series with no [finite] limit)
  22. 41. (an element E in a ring, for which exists n that E^n = 0)
  23. 42. (also Ph; cyclic group of atoms with the formula C6H5)
  24. 44. (where function changes its 'convexity)'
  25. 46. (a chemical that causes suffocation)
  26. 48. (f() is idempotent if f(f(x)) = f(x) for all x)
  27. 49. (a prime p that satisfies p = x^4 + y^4 for natural x and y)
  28. 50. (additive subgroup of R that "absorbs multiplication by elements of R")
  29. 51. (isolated point that satisfies the equation of its curve)
Down
  1. 1. (generalized function from one structure to another: f: A -> B)
  2. 2. (limit of ratio of the function's value change to argument change)
  3. 4. (a common organic compound C5H8)
  4. 6. (factors into small primes)
  5. 8. (amount of 'holes' a surface has)
  6. 9. (a sequence that is infinite in both directions)
  7. 10. (point of self-intersection where both branches have tangents)
  8. 13. (C_6 H_6, colorless liquid hydrocarbon)
  9. 14. (a number that is specific to a concrete matrix)
  10. 15. (a project of a direct addition of distinct molecules)
  11. 17. (a value that is so small that can't be measured)
  12. 20. (a subatomic particle composed of three quarks)
  13. 25. (a model of particle physics that relates bosons and fermions)
  14. 27. (a collection of variables, representing the evolution of a system of random values over time)
  15. 29. (approximate equality)
  16. 31. (chemical compound in which ions are held together by electrostatic forces)
  17. 32. (all the digits' permutation products are prime too)
  18. 33. (a form of many-valued logic in which the truth values of variables may be any real number between 0 and 1)
  19. 34. (some system's property of all its points being invariant)
  20. 38. (a hypothetical kind of matter that cannot be seen with telescopes but accounts for most of the matter in the universe)
  21. 40. (number which stores information that is blocked by law)
  22. 43. (idealized model of an object whose physical properties (usually mass, charge, or size) are assumed to be negligible except for the property being studied)
  23. 45. (atom/molecule/ion with unpaired valence electrons)
  24. 47. (a property of <M, *>: all a & b in M: a*b in M)