Jens Hannemann<p>How about we make this <a href="https://mastodon.online/tags/FloatingPointFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FloatingPointFriday</span></a>? Here's a gem I posted in another thread and that I regularly use to scare my students and to demonstrate to them the dangers of <a href="https://mastodon.online/tags/floatingPoint" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>floatingPoint</span></a>. Every <a href="https://mastodon.online/tags/IEEE" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>IEEE</span></a> 754 compliant <a href="https://mastodon.online/tags/FPU" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FPU</span></a> will give the same answer. It allows me to talk about the fact that radix representations of a number may be finite in one base (10) and infinite in another (2). Then I throw in the fact that floating point numbers have <a href="https://mastodon.online/tags/finitePrecision" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>finitePrecision</span></a> and that <a href="https://mastodon.online/tags/machineEpsilon" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>machineEpsilon</span></a> is a thing.</p>