perplexus.info :: Just Math : Function Finding From Floor

Function Finding From Floor (Posted on 2016-09-30)

Find all functions f:R -> R such that:
f(floor(x)*y) = f(x)*floor(f(y)) holds for all x and y.

Prove that no other function satisfies the above relationship.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

can be 0 or c can be in [1,2) (i,e, ≥1 and <2)
Refer to the attempt by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution (spoiler)	Steve Herman	2016-10-03 11:19:48
Solution (spoiler)	Steve Herman	2016-10-01 12:45:56

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