Anti Pigeonhole Principle: Difference between revisions
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Suppose <math>$x</math> is allocated to healthcare and some treatment costs <math>$y</math> then there are <math>$x/$y</math> times that the treatment can be administered. After that, everyone else goes without treatment. If insurance denies no one, then that means that the first <math>$x/$y</math> people get the treatment and no one else does. | Suppose <math>$x</math> is allocated to healthcare and some treatment costs <math>$y</math> then there are <math>$x/$y</math> times that the treatment can be administered. After that, everyone else goes without treatment. If insurance denies no one, then that means that the first <math>$x/$y</math> people get the treatment and no one else does. | ||
{{#seo:|description=The Anti Pigeonhole Principle states that if there are fewer pigeons than pigeonholes, then some pigeonholes must be empty.}} | |||
Revision as of 07:44, 30 August 2025
The Anti Pigeonhole Principle is that if there are pigeons and pigeonholes such that then there must be some pigeonholes that are empty.
For sets and and function with where , then such that .
Also, see Pigeonhole principle.
Examples
Suppose is allocated to healthcare and some treatment costs then there are times that the treatment can be administered. After that, everyone else goes without treatment. If insurance denies no one, then that means that the first people get the treatment and no one else does.
