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
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