For a Dirichlet process, there are two parameter $\alpha$ and $H$, and the Dirichlet process $X$ is defined as $$(X(B_1),\cdots,X(B_n))\sim Dir(\alpha H(B_1),\cdots,\alpha H(B_n))$$ where$\{B_i\}_{i=1}^n$is a partition of the measurable space.

While the Dirichlet distribution is like that $$f(x_1,x_2, \cdots ,x_{K - 1};\alpha _1,\alpha _2, \cdots ,\alpha _{K - 1},\alpha _K) = \frac{1}{B(\vec \alpha )}\prod\limits_{i = 1}^K x_i^{\alpha_i - 1} $$

My question is:

If I want to view the Dirichlet distribution as a special case of the Dirichlet process, then how should I set the parameters $\alpha$ and $H$ in the definition of Dirichlet process?