What does euler's identity mean?
Definitions for euler's identity
eu·ler's iden·ti·ty
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Wikipedia
Euler's identity
In mathematics, Euler's identity (also known as Euler's equation) is the equality where e is Euler's number, the base of natural logarithms, i is the imaginary unit, which by definition satisfies i2 = −1, and π is pi, the ratio of the circumference of a circle to its diameter.Euler's identity is named after the Swiss mathematician Leonhard Euler. It is a special case of Euler's formula e i x = cos x + i sin x {\displaystyle e^{ix}=\cos x+i\sin x} when evaluated for x = π. Euler's identity is considered to be an exemplar of mathematical beauty as it shows a profound connection between the most fundamental numbers in mathematics. In addition, it is directly used in a proof that π is transcendental, which implies the impossibility of squaring the circle.
Wikidata
Euler's identity
In analytical mathematics, Euler's identity, named for the Swiss mathematician Leonhard Euler, is the equality where²
Numerology
Chaldean Numerology
The numerical value of euler's identity in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of euler's identity in Pythagorean Numerology is: 6
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"euler's identity." Definitions.net. STANDS4 LLC, 2024. Web. 30 Apr. 2024. <https://www.definitions.net/definition/euler%27s+identity>.
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