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Christian Wolinski

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20 years, 13 days
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These are questions asked by Christian Wolinski

Real roots of a polynomial....

Christian Wolinski 1625 Maple
polynomial random roots
June 25 2018
1 7

What is a good way to generate a random, high degree polynomial with integer coefficients, that has a high number of real roots. Example a degree 800 with 600 real roots. I am not looking for a mul application.

NULL response. Correction needed....

Christian Wolinski 1625 Maple 2017
eliminate
January 22 2018
4 5

Why does this code return NULL? Which, earlier than 2017 version of Maple differs? What other Maple function could be used in place of eliminate for the general case?

 

eliminate({x[5] = x[2] / x[1], x[6] = x[3] / x[2], x[7] = x[1] / x[4], x[8] = (2 * x[2] + x[4]) / (2 * x[1] + x[3] + x[4])}, {x[1], x[2], x[3], x[4], x[8]});

 

Suitable replacement for eliminate....

Christian Wolinski 1625 Maple
solve eliminate
December 31 2017
0 0

What is a suitable replacement for eliminate?

Here is my code:

 

A := {x[5] = x[2]/x[1], x[6] = x[3]/x[2], x[7] = x[1]/x[4], x[8] = (2*x[2]+x[4])/(2*x[1]+x[3]+x[4])};
B := {x[1], x[2], x[3], x[4], x[8]};

([eliminate])(A, B);
([eliminate])(A, B minus {x[1]});
([solve])(A, B);


In the older versions of Maple the first example of eliminate would return same result as the solve example, but with current version I need to resort to the second example.

What is the expected correct outcome of ...

Christian Wolinski 1625 Maple
typematch
November 05 2017
1 2
 

typematch({2}, set({x :: integer, y :: even}), 's'), s;

 

Arrow operator....

Christian Wolinski 1625 Maple
December 02 2016
1 5

Is there a difference between scoping rules for regular procedures and for arrow operators?

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