In 1909, Hardy gave an example of a transcendental entire function, $f$, with the property that the set of points where $f$ achieves its maximum modulus, $\mathcal{M}(f)$, has infinitely many discontinuities. This is one of only two known examples of such an entire function.

中文翻译：

---

关于最大模数的Hardy主题的变化

1909年，哈迪举了一个先验的完整函数的例子， $F$，具有该点集的属性 $F$ 达到最大模量 $\mathcal{中号}（F）$，具有无限多个中断点。这是整个功能的两个已知示例之一。