What is Euler's identity?
Q: What is Euler's identity?
A: Euler's identity, sometimes called Euler's equation, is an equation that features the mathematical constants pi, Euler's Number and the imaginary unit along with three of the basic mathematical operations (addition, multiplication and exponentiation). The equation is e^(i*pi) + 1 = 0.
Q: Who was Leonard Euler?
A: Leonard Euler was a Swiss mathematician for whom the identity is named after. It is not clear if he invented it himself.
Q: What are some of the reactions to Euler's identity?
A: Respondents to a Physics World poll called the identity "the most profound mathematical statement ever written", "uncanny and sublime", "filled with cosmic beauty" and "mind-blowing".
Q: What are some of the constants featured in this equation?
A: The constants featured in this equation are pi (approximately 3.14159), Euler's Number (approximately 2.71828) and an imaginary unit (equal to -1).
Q: What are some of the operations featured in this equation?
A: The operations featured in this equation are addition, multiplication and exponentiation.
Q: How can we express pi mathematically?
A: Pi can be expressed mathematically as π ≈ 3.14159 {\displaystyle \pi \approx 3.14159}.
Q: How can we express Euler's Number mathematically? A:Euler’s Number can be expressed mathematically as e ≈ 2.71828 {\displaystyle e\approx 2.71828}.
