Euclidean distance

Summary

Euclidean distance is a metric function^[1]. It ranks in the top 5% of metric_function entities by monthly Wikipedia readership (1,105 views/month).^[2]

Key Facts

• Euclidean distance's instance of is recorded as metric function^[3].
• Euclidean distance's instance of is recorded as Minkowski distance^[4].
• Euclid is named after Euclidean distance^[5].
• Euclidean distance's subclass of is recorded as length^[6].
• Euclidean distance's said to be the same as is recorded as as the crow flies^[7].
• Euclidean distance's Freebase ID is recorded as /m/0f3f9^[8].
• Euclidean distance's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[9].
• Euclidean distance's defining formula is recorded as d(\boldsymbol{x},\boldsymbol{y}) = |\boldsymbol{x}-\boldsymbol{y}|^[10].
• Euclidean distance's studied by is recorded as category theory^[11].
• Euclidean distance's MathWorld ID is recorded as Distance^[12].
• Euclidean distance's Quora topic ID is recorded as Euclidean-Distance^[13].
• Euclidean distance's ISQ dimension is recorded as \mathsf{L}^[14].
• Euclidean distance's Dictionary of Algorithms and Data Structures ID is recorded as euclidndstnc^[15].
• Euclidean distance's maintained by WikiProject is recorded as WikiProject Mathematics^[16].
• Euclidean distance's Microsoft Academic ID is recorded as 120174047^[17].
• Euclidean distance's Brilliant Wiki ID is recorded as 3d-coordinate-geometry-distance^[18].
• Euclidean distance's Brilliant Wiki ID is recorded as distance-formula^[19].
• Euclidean distance's in defining formula is recorded as d(\boldsymbol{x},\boldsymbol{y})^[20].
• Euclidean distance's in defining formula is recorded as |\boldsymbol{x}-\boldsymbol{y}|^[21].
• Euclidean distance's in defining formula is recorded as \boldsymbol{x}-\boldsymbol{y}^[22].
• Euclidean distance's in defining formula is recorded as \boldsymbol{x}^[23].
• Euclidean distance's in defining formula is recorded as \boldsymbol{y}^[24].
• Euclidean distance's Wolfram Language quantity ID is recorded as EuclideanDistance^[25].
• Euclidean distance's Lex ID is recorded as afstand^[26].
• Euclidean distance's IEV number is recorded as 102-03-24^[27].

Why It Matters

Euclidean distance ranks in the top 5% of metric_function entities by monthly Wikipedia readership (1,105 views/month).^[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.^[28] It is known by 39 alternative names across languages and contexts.^[29]