Generate random numbers with conditions using maxima (cas)











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I want to generate (multiple) random numbers from a given number class with extra conditions. (for automatic generation of exercises)



e.g.:




  • generate "a" out of natural Numbers which are dividible by three

  • generate "b" which is a rational number but not natural number

  • generate "c" and "d" which are both prime numbers and "d" is at least twice as big as "c"


ideally also:




  • generate "f" as a polynomyal function of grade 2


My plan is to write a little script that will be then run multiple times from maxima and maxima outputs new tasks (with their solutions) every time.



my idea (pseudocode)



a := random(natural_numbers) | rest(a / 3) = 0
solution := 1/3 + 2/a


and this would output an "a" that I can use to build the exercise as well as a "solution" that i can check against.










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  • you cant generate random natural uniformly distributed or unbounded because there is computational limitation in the number of ciphers a number can achieve. The best you can do is use a random number generator in a bounded set of naturals, by example choosing naturals from 1 to 100. Anyway this doen't seems the best stackexchange forum for this question
    – Masacroso
    Nov 18 at 0:59

















up vote
1
down vote

favorite












I want to generate (multiple) random numbers from a given number class with extra conditions. (for automatic generation of exercises)



e.g.:




  • generate "a" out of natural Numbers which are dividible by three

  • generate "b" which is a rational number but not natural number

  • generate "c" and "d" which are both prime numbers and "d" is at least twice as big as "c"


ideally also:




  • generate "f" as a polynomyal function of grade 2


My plan is to write a little script that will be then run multiple times from maxima and maxima outputs new tasks (with their solutions) every time.



my idea (pseudocode)



a := random(natural_numbers) | rest(a / 3) = 0
solution := 1/3 + 2/a


and this would output an "a" that I can use to build the exercise as well as a "solution" that i can check against.










share|cite|improve this question






















  • you cant generate random natural uniformly distributed or unbounded because there is computational limitation in the number of ciphers a number can achieve. The best you can do is use a random number generator in a bounded set of naturals, by example choosing naturals from 1 to 100. Anyway this doen't seems the best stackexchange forum for this question
    – Masacroso
    Nov 18 at 0:59















up vote
1
down vote

favorite









up vote
1
down vote

favorite











I want to generate (multiple) random numbers from a given number class with extra conditions. (for automatic generation of exercises)



e.g.:




  • generate "a" out of natural Numbers which are dividible by three

  • generate "b" which is a rational number but not natural number

  • generate "c" and "d" which are both prime numbers and "d" is at least twice as big as "c"


ideally also:




  • generate "f" as a polynomyal function of grade 2


My plan is to write a little script that will be then run multiple times from maxima and maxima outputs new tasks (with their solutions) every time.



my idea (pseudocode)



a := random(natural_numbers) | rest(a / 3) = 0
solution := 1/3 + 2/a


and this would output an "a" that I can use to build the exercise as well as a "solution" that i can check against.










share|cite|improve this question













I want to generate (multiple) random numbers from a given number class with extra conditions. (for automatic generation of exercises)



e.g.:




  • generate "a" out of natural Numbers which are dividible by three

  • generate "b" which is a rational number but not natural number

  • generate "c" and "d" which are both prime numbers and "d" is at least twice as big as "c"


ideally also:




  • generate "f" as a polynomyal function of grade 2


My plan is to write a little script that will be then run multiple times from maxima and maxima outputs new tasks (with their solutions) every time.



my idea (pseudocode)



a := random(natural_numbers) | rest(a / 3) = 0
solution := 1/3 + 2/a


and this would output an "a" that I can use to build the exercise as well as a "solution" that i can check against.







random maxima-software






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asked Nov 18 at 0:19









Tobi

1062




1062












  • you cant generate random natural uniformly distributed or unbounded because there is computational limitation in the number of ciphers a number can achieve. The best you can do is use a random number generator in a bounded set of naturals, by example choosing naturals from 1 to 100. Anyway this doen't seems the best stackexchange forum for this question
    – Masacroso
    Nov 18 at 0:59




















  • you cant generate random natural uniformly distributed or unbounded because there is computational limitation in the number of ciphers a number can achieve. The best you can do is use a random number generator in a bounded set of naturals, by example choosing naturals from 1 to 100. Anyway this doen't seems the best stackexchange forum for this question
    – Masacroso
    Nov 18 at 0:59


















you cant generate random natural uniformly distributed or unbounded because there is computational limitation in the number of ciphers a number can achieve. The best you can do is use a random number generator in a bounded set of naturals, by example choosing naturals from 1 to 100. Anyway this doen't seems the best stackexchange forum for this question
– Masacroso
Nov 18 at 0:59






you cant generate random natural uniformly distributed or unbounded because there is computational limitation in the number of ciphers a number can achieve. The best you can do is use a random number generator in a bounded set of naturals, by example choosing naturals from 1 to 100. Anyway this doen't seems the best stackexchange forum for this question
– Masacroso
Nov 18 at 0:59

















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