lexicographical order

Summary

lexicographical order is a partial order^[1]. It draws 310 Wikipedia views per month (partial_order category, ranking #1 of 1).^[2]

Key Facts

• lexicographical order's instance of is recorded as partial order^[3].
• lexicographical order's subclass of is recorded as partial order^[4].
• lexicographical order's Freebase ID is recorded as /m/02qvhb^[5].
• lexicographical order's has cause is recorded as sorting^[6].
• lexicographical order's Stack Exchange tag is recorded as https://stackoverflow.com/tags/lexicographic^[7].
• lexicographical order's defining formula is recorded as \left(u\leq_\mathrm{lex}v\right)\Leftrightarrow\left(u\sqsubseteq v\right)\lor\left(\exists i\in\left[1,\min\left{\left|u\right|,\left|v\right|\right}\right]:u_i<v_i\right)^[8].
• lexicographical order's MathWorld ID is recorded as LexicographicOrder^[9].
• lexicographical order's nLab ID is recorded as lexicographic order^[10].
• lexicographical order's Dictionary of Algorithms and Data Structures ID is recorded as lexicgrphcl^[11].
• lexicographical order's maintained by WikiProject is recorded as WikiProject Mathematics^[12].
• lexicographical order's Microsoft Academic ID is recorded as 159254197^[13].
• lexicographical order's in defining formula is recorded as \sqsubseteq^[14].
• lexicographical order's in defining formula is recorded as <<sup id="cite-C13" class="cite-ref" title="lexicographical order — in defining formula (P7235): <">[15].
• lexicographical order's in defining formula is recorded as |\cdot|^[16].
• lexicographical order's in defining formula is recorded as \leq_\mathrm{lex}^[17].
• lexicographical order's in defining formula is recorded as u^[18].
• lexicographical order's in defining formula is recorded as v^[19].
• lexicographical order's OpenAlex ID is recorded as C159254197^[20].
• lexicographical order's Great Russian Encyclopedia portal ID is recorded as leksikograficheskii-poriadok-48b04e^[21].
• lexicographical order's characteristic of is recorded as list^[22].

Why It Matters

lexicographical order draws 310 Wikipedia views per month (partial_order category, ranking #1 of 1).^[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.^[23] It is known by 13 alternative names across languages and contexts.^[24]