ஆய்லரின் வாய்ப்பாடு

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ஆய்லரின் வாய்ப்பாடு

Quality:

Euler's formula - mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Article "ஆய்லரின் வாய்ப்பாடு" in Tamil Wikipedia has 40.2 points for quality (as of July 1, 2025). The article contains 5 references and 7 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Achievements in all the time:
Global Wikipedia:
The 7807th most popular in all topics.

Since the creation of article "ஆய்லரின் வாய்ப்பாடு", its content was written by 6 registered users of Tamil Wikipedia and edited by 1586 registered Wikipedia users in all languages.

The article is cited 8 times in Tamil Wikipedia and cited 1843 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Tamil): #1079 in December 2013
  • Global: #29 in July 2001

The highest popularity rank from 2008:

  • Local (Tamil): #8111 in April 2014
  • Global: #3679 in April 2013

There are 50 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
1English (en)
Euler's formula
49.4801
2Tamil (ta)
ஆய்லரின் வாய்ப்பாடு
40.1754
3Chinese (zh)
欧拉公式
35.5333
4Polish (pl)
Wzór Eulera
34.9259
5Ukrainian (uk)
Формула Ейлера
32.9899
6Turkish (tr)
Euler formülü
31.7736
7Spanish (es)
Fórmula de Euler
31.3512
8Indonesian (id)
Rumus Euler
30.8318
9Russian (ru)
Формула Эйлера
30.281
10Hindi (hi)
ऑयलर का सूत्र
29.9493
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 "ஆய்லரின் வாய்ப்பாடு" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Euler's formula
12 137 878
2Japanese (ja)
オイラーの公式
3 260 043
3German (de)
Eulersche Formel
2 539 429
4Spanish (es)
Fórmula de Euler
2 173 718
5Chinese (zh)
欧拉公式
1 915 786
6Russian (ru)
Формула Эйлера
1 612 317
7French (fr)
Formule d'Euler
1 438 267
8Italian (it)
Formula di Eulero
1 280 059
9Polish (pl)
Wzór Eulera
911 168
10Korean (ko)
오일러 공식
721 744
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 "ஆய்லரின் வாய்ப்பாடு" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Euler's formula
27 668
2Chinese (zh)
欧拉公式
8 672
3German (de)
Eulersche Formel
7 728
4Japanese (ja)
オイラーの公式
7 319
5Russian (ru)
Формула Эйлера
4 976
6Korean (ko)
오일러 공식
4 053
7Spanish (es)
Fórmula de Euler
3 229
8Polish (pl)
Wzór Eulera
2 514
9French (fr)
Formule d'Euler
2 493
10Italian (it)
Formula di Eulero
2 421
More...

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

The highest AI

Language versions of the article "ஆய்லரின் வாய்ப்பாடு" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Euler's formula
375
2German (de)
Eulersche Formel
119
3French (fr)
Formule d'Euler
93
4Chinese (zh)
欧拉公式
81
5Italian (it)
Formula di Eulero
77
6Japanese (ja)
オイラーの公式
67
7Spanish (es)
Fórmula de Euler
63
8Russian (ru)
Формула Эйлера
59
9Dutch (nl)
Formule van Euler
51
10Polish (pl)
Wzór Eulera
47
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 "ஆய்லரின் வாய்ப்பாடு" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Euler's formula
3
2Serbian (sr)
Ојлерова формула
2
3Arabic (ar)
صيغة أويلر
1
4Azerbaijani (az)
Eyler düsturu
0
5Belarusian (be)
Формула Эйлера
0
6Bulgarian (bg)
Формула на Ойлер
0
7Catalan (ca)
Fórmula d'Euler
0
8Czech (cs)
Eulerův vzorec
0
9Danish (da)
Eulers formel
0
10German (de)
Eulersche Formel
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 "ஆய்லரின் வாய்ப்பாடு" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Euler's formula
226
2German (de)
Eulersche Formel
97
3Italian (it)
Formula di Eulero
92
4Chinese (zh)
欧拉公式
90
5Polish (pl)
Wzór Eulera
88
6Catalan (ca)
Fórmula d'Euler
84
7French (fr)
Formule d'Euler
84
8Japanese (ja)
オイラーの公式
74
9Spanish (es)
Fórmula de Euler
70
10Hebrew (he)
נוסחת אוילר (אנליזה מרוכבת)
69
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
صيغة أويلر
azAzerbaijani
Eyler düsturu
beBelarusian
Формула Эйлера
bgBulgarian
Формула на Ойлер
caCatalan
Fórmula d'Euler
csCzech
Eulerův vzorec
daDanish
Eulers formel
deGerman
Eulersche Formel
elGreek
Τύπος του Όιλερ
enEnglish
Euler's formula
eoEsperanto
Eŭlera formulo
esSpanish
Fórmula de Euler
etEstonian
Euleri valem
euBasque
Eulerren formula
faPersian
فرمول اویلر
fiFinnish
Eulerin lause (funktioteoria)
frFrench
Formule d'Euler
glGalician
Fórmula de Euler
heHebrew
נוסחת אוילר (אנליזה מרוכבת)
hiHindi
ऑयलर का सूत्र
hrCroatian
Eulerova formula
huHungarian
Euler-képlet
hyArmenian
Էյլերի բանաձև
idIndonesian
Rumus Euler
itItalian
Formula di Eulero
jaJapanese
オイラーの公式
kkKazakh
Эйлер формуласы
koKorean
오일러 공식
laLatin
Euleri formula
ltLithuanian
Oilerio formulė
msMalay
Formula Euler
nlDutch
Formule van Euler
nnNorwegian (Nynorsk)
Eulerformelen
noNorwegian
Eulers formel
plPolish
Wzór Eulera
ptPortuguese
Fórmula de Euler
roRomanian
Formula lui Euler
ruRussian
Формула Эйлера
simpleSimple English
Euler's formula
slSlovenian
Eulerjeva formula
srSerbian
Ојлерова формула
svSwedish
Eulers formel
taTamil
ஆய்லரின் வாய்ப்பாடு
thThai
สูตรของอ็อยเลอร์
trTurkish
Euler formülü
ukUkrainian
Формула Ейлера
urUrdu
عائلری کلیہ
uzUzbek
Euler formulalari
viVietnamese
Công thức Euler
zhChinese
欧拉公式

Popularity rank trends

Best Rank Tamil:
#8111
04.2014
Global:
#3679
04.2013

AI rank trends

Best Rank Tamil:
#1079
12.2013
Global:
#29
07.2001

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Euler's formula from Wikipedia articles about Eulers identity, Leonhard Euler, Complex number, De Moivres formula and Eulers number. Whereas reading the article about Euler's formula people most often go to Wikipedia articles on Eulers identity, Leonhard Euler, Eulers number, Taylor series and Complex number.

Cumulative results of quality and popularity of the Wikipedia article

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

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