Minkowski Question Mark Calculator
Free online minkowski question mark calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.
连分数与二进制之间的怪函数
?(0) = 0，?(1) = 1，?(x/2) = ?(x)/2，?(1−x) = 1−?(x)；有理数 → 二进分数，二次无理数 → 病态集
Minkowski 问号函数把「连分数展开」翻译成「二进制展开」：有理数（有限连分数）映为二进分数（测度零但处处稠密），它连续、严格递增、导数几乎处处为零却是奇异的——与 Cantor 函数齐名的「爬得上去却几乎不爬」的函数。二次无理数（周期连分数）的像集 Hausdorff 维数约 0.815565，至今没有被精确刻画。
How to use the Minkowski Question Mark Calculator
- Fill in the inputs with your own numbers — every field shows what it expects.
- The result updates instantly as you type; no "Calculate" click needed.
- Read the result card for the main figure, the step-by-step formula, and practical notes.
Frequently asked questions
Is the Minkowski Question Mark Calculator free?
Yes — all math calculators on Calcton are free, with no sign-up required. Your inputs are processed in your browser and never sent to a server.
Is there a Chinese version of this tool?
Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.
References
Formulas and benchmarks used by this calculator follow these published sources.
KevinContent LeadCalcton Editorial Team · Last updated 2026-09-26
Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.
Related calculators
More in this category: Math calculators
About math calculators
Free online math calculators for algebra, statistics, number theory and everyday arithmetic — from quadratic equations and matrices to percentages, fractions and prime factorization, each with step-by-step formulas.