This is what happens when mathematicians discover emojis! Each line is a brilliant mathematical operation translated into emoji language:
First, we've got 1 divided by a smile equals a smile - that's your fraction identity!
Then logarithm of a laughing face equals water droplet times logarithm of laughing face - it's the classic log rule that log(a^b) = b·log(a)!
The union and intersection operations are pure genius - shocked face UNION embarrassed face equals embarrassed face, while their INTERSECTION gives us just the regular smile!
And don't miss the absolute value proof: |sad face| = -sad face = happy face. Math humor at its finest!
Who knew emoji calculus could actually make math... fun? I'm telling you, this is going on my office door tomorrow!