The calculus problems that computers can solve exactly don't have complex boundary conditions, including arbitrary dynamic terms, that are only defined numerically.

Brent

On 10/30/2018 8:43 AM, John Clark wrote:


On Tue, Oct 30, 2018 at 2:22 AM Philip Thrift <cloudver...@gmail.com <mailto:cloudver...@gmail.com>> wrote:

    /> Engineers today are ultrafintiitists in practice: They design
    airplanes and bridges with computer software that runs on
    computers with a fixed, finite number of bits that are ever used. /


For over 40 years computers have been able to solve calculus problems symbolically and get EXACT answers and do it better than any human can, just look at  Mathematica. Sometimes engineers use numerical approximations not because they think calculus is wrong, no engineer is that dumb, but because sometimes the equations are so complex even Mathematica can't find a solution and because an approximation is good enough to make sure the bridge won't fall down

John K Clark





--
You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com <mailto:everything-list+unsubscr...@googlegroups.com>. To post to this group, send email to everything-list@googlegroups.com <mailto:everything-list@googlegroups.com>.
Visit this group at https://groups.google.com/group/everything-list.
For more options, visit https://groups.google.com/d/optout.

--
You received this message because you are subscribed to the Google Groups 
"Everything List" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to everything-list+unsubscr...@googlegroups.com.
To post to this group, send email to everything-list@googlegroups.com.
Visit this group at https://groups.google.com/group/everything-list.
For more options, visit https://groups.google.com/d/optout.

Reply via email to