## Quality and popularity formulas for the article
**Arc** ^{ca}

$$Quality=1/c∑↙{i=1}↖c nm_i-RS=1/6(2.62+0+9.52+0+0+25)$$

where:

- $nm_i$ is normalized quality metric $i$
- $c$ is the number of quality metrics
- $RS$ is the reducing score (if exists)

$$GlobalAI=|⋃↙{lang=1}↖18 Authors_{lang}|=$$

$$PopGlobal=∑↙{lang=1}↖18 PopLocal_{lang}=5485$$

where:

- $lang$ is an index of language version
- $AI$ means Authors’ Interest (number of authors)
- $Pop$ means popularity of the article (number of page views)
- $Authors_{lang}$ is a set of unique names of the authors of article "Arc" in language $lang$ during March 2022
- $PopLocal_{lang}$ is a popularity of article "Arc" in language $lang$ in March 2022

The results of the calculations may be slightly different because of rounded values of normalized metrics in formulas