The ceiling and floor functions are very important. Floor(3.23) =3. Floor(3.5)=3. Floor(3.67) = 3. And Ceiling(3.23) =4. Ceiling(3.5)=4. Ceiling(3.67)=4.
Ceiling and floor functions are natural. A human has ceiling and floor functions built inside him.
If we say x = 10/3; then it will take millions of pages and still a man will be writing 3.33333 . . . . . But a ceiling and floor function prevents this.
A ceiling function or a floor function makes us say confidently π is approximately 3.14.
The rational number series contains equal to sign. This equal to sign has to be seen with the ceiling function or a floor function in the hindsight. Only then can it be properly appreciated.
There is one prime number generator called Mills primes. The formula is μ^(3^n).
The floor of this function is always prime. This teaches us the lesson that ceiling and floor functions are nature approved and nature supported.
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