Why does a broken clock still tick?
Almost everywhere
Why does a broken clock still tick?
Imagine a clock that ticks normally for most of the day but suddenly stops ticking for a few seconds at random times. You notice it's still ticking almost everywhere during the day.
The clock ticks normally almost everywhere, except for a few seconds when it doesn't. In math, we say a function is continuous almost everywhere if it behaves normally almost everywhere, except for a tiny, negligible set.
Example
The clock ticks normally 99 out of 100 seconds, but skips 1 second at random times.
Remember this
A function is continuous almost everywhere if it behaves normally almost everywhere, except for a tiny, negligible set.
Text adapted from Wikipedia, licensed under CC BY-SA 4.0.
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