Multicolor if nz R(k,D),for any 2-coloring of K there exists a red Kk or a blue K. R(r;k1,k2,.,k) ifn≥R(r;k1,k2,…,k), for any r-coloring of Kn,there exists a monochromatic ki-clique with color i for some ie1,2,....rh. R(T:k1,,k-2,k-l,k)≤R(t-1;k1,,k-2,R(2;k1,k) the mixing color trick: 个 color R(r; k1, k2, ... , kr) Multicolor if n≥ R(k,l), for any 2-coloring of Kn, there exists a red Kk or a blue Kl. if n ≥ R(r; k1, k2, ... , kr), for any r-coloring of Kn, there exists a monochromatic ki-clique with color i for some i∈{1, 2, ..., r}. R(r; k1, ... , kr-2, kr-1, kr) ≤ R(r-1; k1, ... , kr-2, R(2; kr-1, kr)) the mixing color trick: color