We generalize the uniform common randomness capacity formula, initially established by Ahslwede and Csisz\'ar for a two-source model for common randomness generation from independent and identically distributed (i.i.d.) discrete sources with unidirectional communication over rate-limited discrete noiseless channels to the case when the one-way communication is over arbitrary single-user channels. In our proof, we will make use of the transmission capacity formula established by Verd\'u and Han for arbitrary point-to-point channels.

翻译：我们将Ahslwede 和 Csisz\'ar 最初为两种来源模式建立的统一通用随机能力公式(Ahslwede 和 Csisz\'ar ) 用于从独立和同样分布(即d.) 的离散来源中产生共同随机能力模型,在单向通信超过任意单一用户频道时,将单向通信超过限制费率的离散无噪音频道。我们的证据是,我们将利用Verd\'u 和 Han 设定的传输能力公式,用于任意的点对点频道。