MathDB

izho2018 P5 (algebra)

Source: izho2018

February 14, 2018

inequalitiesalgebrafunctionfloor function

Problem Statement

Find all real numbers

a

such that there exist

f:\mathbb{R} \to \mathbb{R}

with

f(x-f(y))=f(x)+a[y]

for all

x,y\in \mathbb{R}