純虚指数函数

ja

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純虚指数函数

Quality:

Cis - mathematical notation for cos(x) + i sin(x). Article “純虚指数函数” in Japanese Wikipedia has 23.3 points for quality (as of July 1, 2025). The article contains 28 references and 5 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.22 points.

This article has the best quality in Chinese Wikipedia. However, the most popular language version of this article is English.

Since the creation of article “純虚指数函数”, its content was written by 5 registered users of Japanese Wikipedia and edited by 80 registered Wikipedia users in all languages.

The article is cited 14 times in Japanese Wikipedia and cited 244 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #11451 in February 2017
  • Global: #59759 in January 2016

The highest popularity rank from 2008:

  • Local (Japanese): #294153 in April 2021
  • Global: #348706 in November 2020

There are 7 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
Cis函數
62.2786
2English (en)
Cis (mathematics)
44.5876
3Spanish (es)
Cis (matemáticas)
37.8487
4Japanese (ja)
純虚指数函数
23.2548
5Catalan (ca)
Cis (matemàtiques)
20.8705
6Hebrew (he)
Cis
18.5118
7Galician (gl)
Cis (matemáticas)
4.6865
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "純虚指数函数" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cis (mathematics)
374 451
2Chinese (zh)
Cis函數
53 255
3Spanish (es)
Cis (matemáticas)
25 666
4Hebrew (he)
Cis
15 771
5Japanese (ja)
純虚指数函数
11 671
6Catalan (ca)
Cis (matemàtiques)
68
7Galician (gl)
Cis (matemáticas)
44
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "純虚指数函数" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cis (mathematics)
2 238
2Chinese (zh)
Cis函數
383
3Spanish (es)
Cis (matemáticas)
120
4Japanese (ja)
純虚指数函数
119
5Hebrew (he)
Cis
63
6Catalan (ca)
Cis (matemàtiques)
7
7Galician (gl)
Cis (matemáticas)
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "純虚指数函数" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cis (mathematics)
51
2Chinese (zh)
Cis函數
14
3Hebrew (he)
Cis
5
4Japanese (ja)
純虚指数函数
5
5Spanish (es)
Cis (matemáticas)
3
6Catalan (ca)
Cis (matemàtiques)
1
7Galician (gl)
Cis (matemáticas)
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "純虚指数函数" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Cis (matemàtiques)
0
2English (en)
Cis (mathematics)
0
3Spanish (es)
Cis (matemáticas)
0
4Galician (gl)
Cis (matemáticas)
0
5Hebrew (he)
Cis
0
6Japanese (ja)
純虚指数函数
0
7Chinese (zh)
Cis函數
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "純虚指数函数" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
Cis函數
154
2English (en)
Cis (mathematics)
64
3Japanese (ja)
純虚指数函数
14
4Spanish (es)
Cis (matemáticas)
4
5Galician (gl)
Cis (matemáticas)
4
6Hebrew (he)
Cis
4
7Catalan (ca)
Cis (matemàtiques)
0
More...

Scores

Estimated value for Wikipedia:
Japanese:
Global:
Popularity in June 2025:
Japanese:
Global:
Popularity in all years:
Japanese:
Global:
Authors in June 2025:
Japanese:
Global:
Registered authors in all years:
Japanese:
Global:
Citations:
Japanese:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Cis (matemàtiques)
enEnglish
Cis (mathematics)
esSpanish
Cis (matemáticas)
glGalician
Cis (matemáticas)
heHebrew
Cis
jaJapanese
純虚指数函数
zhChinese
Cis函數

Popularity rank trends

Best Rank Japanese:
#294153
04.2021
Global:
#348706
11.2020

AI rank trends

Best Rank Japanese:
#11451
02.2017
Global:
#59759
01.2016

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cis from Wikipedia articles about Eulers formula, De Moivres formula, Cis, Smith chart and List of periodic functions. Whereas reading the article about Cis people most often go to Wikipedia articles on Eulers formula, De Moivres formula, Cissoid, Hartley transform and Ptolemys theorem.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

he: Cis

News from 10 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In Japanese Wikipedia the most popular articles on that day were: 羽賀研二, 神尾楓珠, 村瀬心椛, 平手友梨奈, 田中理佐, 建国記念の日, 安野貴博, 神木隆之介, 高市早苗, 髙木美帆.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information