We show that linear inequalities for entropies have a natural geometric interpretation in terms of Hausdorff and packing dimensions, using the point-to-set principle and known results about inequalities for complexities, entropies and the sizes of subgroups.

翻译：我们表明,在Hausdorff和包装尺寸方面,利用点定原则和已知的关于复杂程度、异种和亚群大小不平等结果的已知结果,对异种的线性不平等有自然的几何解释。