From Newsgroup: comp.os.linux.advocacy
MathHeads only. All others can take a flying fuck through
a rolling doughnut. Ha, ha, ha, ha, ha, ha, ha!
Mathematics is, as was stated by the great Carl Friedrich Gauss,
the "queen of the sciences."
GNU/Linux has advanced mathematics capabilities which place it
on par with the latest supercomputers. (Micro$lop can only
drool with envy -- or is it stupidity?)
One such GNU/Linux math masterpiece is MPsolve:
<
https://numpi.dm.unipi.it/scientific-computing-libraries/mpsolve/>
Let us unleash mpsolve on the following polynomial:
5041*x^32−1318386*x^30+60348584*x^28−924552262*x^26+5246771058*x^24−15736320636*x^22+29448527368*x^20−37805732980*x^18+35173457839*x^16−24298372458*x^14+12495147544*x^12−4717349124*x^10+1256858478*x^8−217962112*x^6+21904868*x^4−1536272*x^2+160801
This is one fuck of a hefty polynomial, but mpsolve tackles
it with ease.
The solution given by mpsolve now follows. Each solution is expressed
as a complex number, hence the bracketed numbers. Real solutions are
noted when the complex portion is essentially zero:
(-0.1442685695041e2, 0.e-24)
(-0.541812795431e1, 0.e-23)
(-0.404319100313e1, 0.e-18)
(-0.134744285e1, 0.e-14)
(-0.127890708e1, 0.e-13)
(-0.101563221e1, 0.e-12)
(-0.985960736e0, 0.e-11)
(-0.72033050949e0, -0.46313596916e0)
(-0.72033050949e0, 0.46313596916e0)
(-0.6674222202e0, 0.114928795e0)
(-0.6674222202e0, -0.114928795e0)
(-0.61381921075e0, 0.38808765777e0)
(-0.61381921075e0, -0.38808765777e0)
(-0.5901186991e0, 0.e-12)
(-0.2025664882648e0, 0.2406098844206e0)
(-0.2025664882648e0, -0.2406098844206e0)
(0.2025664882648e0, 0.2406098844206e0)
(0.2025664882648e0, -0.2406098844206e0)
(0.5901186991e0, 0.e-12)
(0.61381921075e0, 0.38808765777e0)
(0.61381921075e0, -0.38808765777e0)
(0.6674222202e0, 0.114928795e0)
(0.6674222202e0, -0.114928795e0)
(0.72033050949e0, 0.46313596916e0)
(0.72033050949e0, -0.46313596916e0)
(0.985960736e0, 0.e-11)
(0.101563221e1, 0.e-12)
(0.127890708e1, 0.e-13)
(0.134744285e1, 0.e-14)
(0.404319100313e1, 0.e-18)
(0.541812795431e1, 0.e-22)
(0.1442685695041e2, 0.e-24)
There are multiple real solutions distributed symmetrically
about the origin.
A later post will give a graphical representation of this.
Note that mpsolve, like all superlative software, is available
for GNU/Linux only. Micro$lop users can only sit in their
corners and drool.
Ha, ha, ha, ha, ha, ha, ha, ha, ha!
--
Gentoo/LFS: Is there any-fucking-thing else?
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