22y/o Software Developer and Data Scientist with interests in fields like Cybersecurity, Quantum Computing, and Mathematics.
// Fermat's last problem x^n+y^n=z^n
#!/usr/bin/perl
use strict;
use warnings;
sub fermat {
my ($n) = @_;
for (my $x = 0; $x < 100; $x++) {
for (my $y = 0; $y < $x+1; $y++) {
for (my $z = 0; $z < ($x**$n)+($y**$n) +1; $z++) {
if (($x**$n)+($y**$n) == ($z**$n)) {
print "$x^$n + $y^$n == $z^$n\n";
}
}
}
}
my $e = fermat(5);
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This states that the cardinality of the real numbers is equal to the cardinality of all subsets of natural numbers. This was shown by Georg Cantor, the founder of set theory. It is remarkable in that it states a continuum is not countable, as 2^{N} > N .
A related statement is the Continuum Hypothesis, which states there is no cardinality between N and R . Interestingly, this statement has a very strange property: it can be neither proved nor disproved.</p>
The Cardinality of the Continuum
It is through science that we prove, but through intuition that we discover.
Henri Poincaré
