Thomae's function

Summary

Thomae's function is a function^[1]. It draws 108 Wikipedia views per month (function category, ranking #31 of 114).^[2]

Key Facts

• Thomae's function's instance of is recorded as function^[3].
• Thomae's function's instance of is recorded as periodic function^[4].
• Thomae's function's instance of is recorded as mathematical concept^[5].
• Carl Johannes Thomae is named after Thomae's function^[6].
• Thomae's function's Commons category is recorded as Thomae's function^[7].
• Thomae's function's Freebase ID is recorded as /m/099fsd^[8].
• Thomae's function's definition domain is recorded as set of real numbers^[9].
• Thomae's function's codomain is recorded as unit interval^[10].
• Thomae's function's different from is recorded as Riemann zeta function^[11].
• Thomae's function's defining formula is recorded as f(x) = \begin{cases} \frac{1}{q} &\text{if }x = \tfrac{p}{q}\quad (x \text{ is rational), with } p \in \mathbb Z \text{ and } q \in \mathbb N \text{ coprime}\ 0 &\text{if }x \text{ is irrational.} \end{cases}^[12].
• Thomae's function's maintained by WikiProject is recorded as WikiProject Mathematics^[13].
• Thomae's function's Microsoft Academic ID is recorded as 34117566^[14].

Why It Matters

Thomae's function draws 108 Wikipedia views per month (function category, ranking #31 of 114).^[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.^[15] It is known by 7 alternative names across languages and contexts.^[16]