Tight Designs

If (Ω, ρ) is a polynomial space and Φ is a subset of Ω with degree s and strength t, we have the pair of inequalities: dim ( Pol ( Ω , ⌊ t 2 ⌋ ) ) ≤ | Φ | ≤ dim ( Pol ( Ω , s ) ) . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315137131/3e789cab-79f2-434a-a841-e2acf5146c2d/content/eq1581.tif"/>