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  1.  
  2. <h3>How to write mathematical formulas in your exercises.</h3>
  3.  
  4. You may embed mathematical symbols and formulas into the statement (when it
  5. is of html format), hint and solution.
  6. <p>
  7. If you simply want to insert some mathematical symbols or greek letters,
  8. you just need to type a <tt>\</tt> followed by the name of
  9. the symbol or greek letter (if you haven't used this name in your parameter
  10. definitions). For example, <tt>\pi</tt> gives you $m_pi,
  11. <tt>\le</tt> gives $m_le, <tt>\pm</tt> gives $m_pm, <tt>\rightarrow</tt> gives
  12. $m_rightarrow, etc. The names of the symbols follow the standard TeX
  13. convention. Here is a
  14. !href target=wims_help module=help/wimsdoc.en&subject=mathfonts#mathfonts list of mathematical symbols and their names
  15. (replace <tt>$$m_</tt> by <tt>\</tt> in the names).
  16. <p>
  17. More generally, to insert a whole mathematical formula, you
  18. can type the formula in the usual way as if you enter it into any
  19. mathematical software or any computational tool under WIMS. In order to make
  20. the formula formatted and shown beautifully, you have
  21. only to enclose it in a pair of parentheses preceded by a backslash \. For
  22. example, <tt>\(x^3-3x+cos(2pi*x)^5)</tt> gives you
  23. !insmath x^3-3*x+cos(2pi*x)^5
  24. , or <tt>\(sqrt(x^2+y^2))</tt> gives you
  25. !insmath sqrt(x^2+y^2)
  26. . You can type <tt>\(integrate(x^2+1)dx)</tt> for
  27. !insmath integrate(x^2+1)*dx
  28. , or <tt>\(integrate(exp(x^2+1),x=1..infinity))</tt> for
  29. !insmath integrate(exp(x^2+1),x=1..infinity)
  30. . You can also write the sum
  31. !insmath sum(1/n^2,n=1..infinity)
  32. using <tt>\(sum(1/n^2,n=1..infinity)</tt>, or the product
  33. !insmath product(n/(n+1),n=1..infinity)
  34. using <tt>\(product(n/(n+1),n=1..infinity)</tt>.
  35. <p>
  36. More helps on how to enter mathematical expressions are in
  37. !href target=wims_help module=help/main&chapter=1&open=1_math#math this page
  38. .
  39. <p>
  40. To show a matrix
  41. !insmath [1,2,3;4,5,6;7,8,9]
  42. , you should type <tt>\([1,2,3;4,5,6;7,8,9])</tt>. Nested matrices are
  43. accepted (and will be rendered correctly).
  44. <p>
  45. For experts in TeX or LaTeX, please notice that whenever the software sees a formula
  46. enclosed in a pair of parentheses preceded by <tt>\</tt> which contains
  47. backslashes, it will interpret it as a TeX source, and will directly try to
  48. format it by TeX. This will allow you to write very sophisticated formulas if
  49. you know how to write them in the TeX way.
  50. <p>
  51. And the most complete way to use TeX in your exercise is to choose
  52. !href cmd=help&special_parm=format TeX format
  53. (for the statement only).
  54.