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2. Euler's identity - Wikipedia

   en.wikipedia.org/wiki/Euler's_identity

   Euler's formula for a general angle. Euler's identity is a special case of Euler's formula, which states that for any real number x, = ⁡ + ⁡ where the inputs of the trigonometric functions sine and cosine are given in radians. In particular, when x = π,

3. Euler's formula - Wikipedia

   en.wikipedia.org/wiki/Euler's_formula

   Euler's formula is ubiquitous in mathematics, physics, chemistry, and engineering. The physicist Richard Feynman called the equation "our jewel" and "the most remarkable formula in mathematics". [2] When x = π, Euler's formula may be rewritten as e iπ + 1 = 0 or e iπ = −1, which is known as Euler's identity.

4. Integration using Euler's formula - Wikipedia

   en.wikipedia.org/wiki/Integration_using_Euler's...

   Using Euler's formula, any trigonometric function may be written in terms of complex exponential functions, namely and and then integrated. This technique is often simpler and faster than using trigonometric identities or integration by parts , and is sufficiently powerful to integrate any rational expression involving trigonometric functions.

5. Formula editor - Wikipedia

   en.wikipedia.org/wiki/Formula_editor

   A formula editor is a computer program that is used to typeset mathematical formulas and mathematical expressions. Formula editors typically serve two purposes: They allow word processing and publication of technical content either for print publication, or to generate raster images for web pages or screen presentations.

6. Characterizations of the exponential function - Wikipedia

   en.wikipedia.org/wiki/Characterizations_of_the...

   Define e x as the value of the infinite series = =! = + +! +! +! + (Here n! denotes the factorial of n. One proof that e is irrational uses a special case of this formula.) Inverse of logarithm integral.

7. LA Times owner plans to add AI-powered ‘bias meter’ on news ...

   www.aol.com/la-times-owner-plans-add-223323422.html

   Los Angeles Times owner Patrick Soon-Shiong, who blocked the newspaper’s endorsement of Kamala Harris and plans to overhaul its editorial board, says he will implement an artificial intelligence ...