Upper Bound

For a subset 𝑆 of field 𝐹, 𝑠̃∊𝐹 is called an upper bound of 𝑆 if:

• ∀𝑠∊𝑆: 𝑠≤𝑠̃

Lower Bound

For a subset 𝑆 of field 𝐹, 𝑠̃∊𝐹 is called a lower bound of 𝑆 if:

• ∀𝑠∊𝑆: 𝑠≥𝑠̃