Speakur

Word Pronunciation & Dictionary

euler's criterion

/ˈɔɪ̯.lə(ɹ)z kɹaɪ̯ˈtɪ.ɹi.ən/

Word Rarity Very rare

Frequency: Zipf frequency 1.72 in modern English

Syllables
eu-ler's cri-te-ri-on
IPA
/ˈɔɪ̯.lə(ɹ)z kɹaɪ̯ˈtɪ.ɹi.ən/
17
Scrabble Score
15
Letters
5
Syllables
10
Unique Chars

Meaning

name

A theorem which states that, given a positive integer a which is coprime to an odd prime number p, a is a quadratic residue of p if and only if a^((p-1)/2) is congruent to 1 modulo p.

Etymology

Named after Leonhard Euler (1707–1783), Swiss mathematician and physicist, who devised the criterion in 1748.

Questions

How do you pronounce euler's criterion?
The recorded pronunciation is /ˈɔɪ̯.lə(ɹ)z kɹaɪ̯ˈtɪ.ɹi.ən/.
What does euler's criterion mean?
A theorem which states that, given a positive integer a which is coprime to an odd prime number p, a is a quadratic residue of p if and only if a^((p-1)/2) is congruent to 1 modulo p.
Where does euler's criterion come from?
Named after Leonhard Euler (1707–1783), Swiss mathematician and physicist, who devised the criterion in 1748.

How to pronounce euler's criterion

  1. Open the pronunciation page — Open the Speakur entry for “euler's criterion”.
  2. Read the phonetic spelling — Read the IPA spelling (/ˈɔɪ̯.lə(ɹ)z kɹaɪ̯ˈtɪ.ɹi.ən/) so you know which sounds to aim for.
  3. Play the audio — Click Play to hear reference audio for “euler's criterion”.
  4. Repeat and practice — Say “euler's criterion” aloud, matching stress and vowels until it feels natural.