- Euler’s formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler’s formula states that, for any real number x, one has eix = cos x + i sin x, where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively. This complex exponential function is sometimes denoted cis x (“cosine plus i sine”). The formula is still valid if x is a complex number, and is also called Euler’s formula in this more general case.
- Total Recall (1990 film) (Wikipedia)
Total Recall is a 1990 American science fiction action film directed by Paul Verhoeven, with a screenplay by Ronald Shusett, Dan O’Bannon, and Gary Goldman. The film stars Arnold Schwarzenegger, Rachel Ticotin, Sharon Stone, Ronny Cox, and Michael Ironside. Based on the 1966 short story “We Can Remember It for You Wholesale” by Philip K. Dick, Total Recall tells the story of Douglas Quaid (Schwarzenegger), a construction worker who receives an implanted memory of a fantastical adventure on Mars. He subsequently finds his adventure occurring in reality as agents of a shadow organization try to prevent him from recovering memories of his past as a Martian secret agent aiming to stop the tyrannical regime of Martian dictator Vilos Cohaagen (Cox).
