Discrete Math - 2.3.4 Useful Functions to Know

Ceiling function, floor function and factorial function.

Video Chapters:
Introduction 0:00
Floor and Ceiling Functions 0:13
Factorial Function 1:48
Floor Function Practice 2:55
Up Next 4:42

Textbook: Rosen, Discrete Mathematics and Its Applications, 7e

[cheeeeese]

Way better than what my professor taught

[youssefyoussef]

I am not an English native speaker, though I know what "floor" means, which: "The lower surface of a room, on which one may walk.", so it is obvious it has a direct relation with the mathematical definition of floor function. Then I asked, is there some simulation with the "ceiling function", because I don't know what "ceil" means in English, and when I did a search, I found that "Line or plaster the roof of (a building).", which beautifully perfect,
I will never be confused with those terms or with those both functions,

I will imagine myself in a vertical axe, like the Y axe in the X-Y axes.
floor : looking down to the nearest "ground floor", which mean the nearest integer
ceiling : looking up to the nearest roof.

[DanaHalabi-dd]

Can you add an exercise where we find the range and domain of the given function for example how do we solve such exercise: The function that assigns to each pair of positive integers the maximum of these two
integers.(find the function, domain and range)

[mattmo]

How would you format the solution of the last question? f(s) = {0, 2, 4}?

[shumailafareed]

Wouldn't the floor function of "2 " be "1"