On Monday, April 25, 2011, Chris Smith <[email protected]> wrote: > Vinzent Steinberg wrote: >>> On 25 Apr., 04:56, "Chris Smith" <[email protected]> wrote: >>>> Can't solve just yield an infinite number of dictionaries, each >>>> corresponding to one of the infinite solutions? >>> >>> No, because infinite could mean uncountable. >>> > > Can you elaborate? By "infinite solutions" I'm thinking things like solutions > to sin(x) = 0 being x = 0, pi, -pi, 2*pi, -2*pi, etc...
That is a countable set -- you can map the integers to those solutions. Infinite sets can either be countable or uncountable. Countable essentially means that you can enumerate through them such that any given element in the set will eventually be reached. If the solutions to solve are uncountable then you can't "yield an infinite number of dictionaries, each corresponding to one of the infinite solutions" since some solutions will never be yielded. Cheers, Christian > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To post to this group, send email to [email protected]. > To unsubscribe from this group, send email to > [email protected]. > For more options, visit this group at > http://groups.google.com/group/sympy?hl=en. > > -- You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/sympy?hl=en.
