## Quality and popularity formulas for the article
**ARD** ^{DE}

$$Quality=1/c∑↙{i=1}↖c nm_i-RS=1/6(88.6+91.94+100+100+100+100)$$

where:

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

$$GlobalAI=|⋃↙{lang=1}↖39 Authors_{lang}|=20$$

$$PopGlobal=∑↙{lang=1}↖39 PopLocal_{lang}=223240$$

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 "ARD" in language $lang$ during April 2020
- $PopLocal_{lang}$ is a popularity of article "ARD" in language $lang$ in April 2020

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