mathematics

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Across
  1. 2. a flat two-dimensional surface (physical or theoretical) with infinite width and length, zero thickness and zero curvature
  2. 4. the product of all the consecutive integers up to a given number (used to give the number of permutations of a set of objects), denoted by n!, e.g. 5! = 1 x 2 x 3 x 4 x 5 = 120
  3. 6. a physical quantity having magnitude and direction, represented by a directed arrow indicating its orientation in space
  4. 9. a rule or equation describing the relationship of two or more variables or quantities
  5. 10. a measure of relationship between two variables or sets of data, a positive correlation coefficient indicating that one variable tends to increase or decrease as the other does, and a negative correlation coefficient indicating that one variable tends to increase as the other decreases and vice versa
Down
  1. 1. the part of mathematics concerned with the size, shape and relative position of figures, or the study of lines, angles, shapes and their properties
  2. 3. the operation in calculus (inverse to the operation of differentiation) of finding the integral of a function or equation
  3. 4. a self-similar geometric shape (one that appears similar at all levels of magnification) produced by an equation that undergoes repeated iterative steps or recursion
  4. 5. the point towards which a series or function converges, e.g. as x becomes closer and closer to zero, (sin x)⁄x becomes closer and closer to the limit of 1
  5. 7. a member of, or an object in, a set
  6. 8. a mathematical statement or hypothesis which has been proved on the basis of previously established theorems and previously accepted axioms, effectively the proof of the truth of a statement or expression