Lebesgue's density theorem

Summary

Lebesgue's density theorem is a theorem^[1]. It draws 69 Wikipedia views per month (theorem category, ranking #232 of 1,306).^[2]

Key Facts

• Lebesgue's density theorem's image is recorded as Lebesgue's Density Theorem.jpg^[3].
• Lebesgue's density theorem's instance of is recorded as theorem^[4].
• Henri Lebesgue is named after Lebesgue's density theorem^[5].
• Lebesgue's density theorem's part of is recorded as list of theorems^[6].
• Lebesgue's density theorem's Freebase ID is recorded as /m/0bsr_w^[7].
• Lebesgue's density theorem's defining formula is recorded as \lim_{r\to0}\frac{\mu (A\cap\operatorname{ball}_r(x))}{\mu (\operatorname{ball}_r(x))} \in {0,1}\quad\mathrm{a.e.}^[8].
• Lebesgue's density theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[9].
• Lebesgue's density theorem's Microsoft Academic ID is recorded as 2776367690^[10].
• Lebesgue's density theorem's in defining formula is recorded as \mu^[11].
• Lebesgue's density theorem's in defining formula is recorded as A^[12].
• Lebesgue's density theorem's in defining formula is recorded as \operatorname{ball}^[13].
• Lebesgue's density theorem's in defining formula is recorded as \mathrm{a.e.}^[14].
• Lebesgue's density theorem's in defining formula is recorded as \cap^[15].
• Lebesgue's density theorem's in defining formula is recorded as r^[16].
• Lebesgue's density theorem's logical consequence of is recorded as Lebesgue differentiation theorem^[17].

Why It Matters

Lebesgue's density theorem draws 69 Wikipedia views per month (theorem category, ranking #232 of 1,306).^[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.^[18]