What does eulers identity mean?

Definitions for eulers identity
eu·ler·s iden·ti·ty

This dictionary definitions page includes all the possible meanings, example usage and translations of the word eulers identity.

Wiktionary

  1. Eulers identitynoun

    The equation which unifies diverse fields of mathematics.

  2. Etymology: For Leonhard Euler Swiss mathematician and physicist

Wikipedia

  1. Eulers 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.

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Numerology

  1. Chaldean Numerology

    The numerical value of eulers identity in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of eulers identity in Pythagorean Numerology is: 6

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"eulers identity." Definitions.net. STANDS4 LLC, 2024. Web. 1 May 2024. <https://www.definitions.net/definition/eulers+identity>.

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