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Descartes number. In number theory, a Descartes number is an odd number which would have been an odd perfect number if one of its composite factors were prime. They are named after René Descartes who observed that the number D = 32⋅72⋅112⋅132⋅22021 = (3⋅1001)2 ⋅ (22⋅1001 − 1) = 198585576189 would be an odd perfect number if ...
The folium of Descartes is related to the trisectrix of Maclaurin by affine transformation. To see this, start with the equation. and change variables to find the equation in a coordinate system rotated 45 degrees. This amounts to setting In the plane the equation is. If we stretch the curve in the direction by a factor of this becomes.
The 2008 Summer Olympics torch relay was run from March 24 until August 8, 2008, prior to the 2008 Summer Olympics, with the theme of "one world, one dream". Plans for the relay were announced on April 26, 2007, in Beijing, China. [1] The relay, also called by the organizers as the "Journey of Harmony", lasted 129 days and carried the torch ...
t. e. The wax argument or the sheet of wax example is a thought experiment that René Descartes created in the second of his Meditations on First Philosophy. He devised it to analyze what properties are essential for bodies, show how uncertain our knowledge of the world is compared to our knowledge of our minds, and argue for rationalism. [1] [2]
Cube is a 1997 Canadian science fiction horror-thriller film directed and co-written by Vincenzo Natali. A product of the Canadian Film Centre's First Feature Project, Nicole de Boer, Nicky Guadagni, David Hewlett, Andrew Miller, Julian Richings, Wayne Robson, and Maurice Dean Wint star as individuals trapped in a bizarre and deadly labyrinth of cube-shaped rooms.
Principles of Philosophy ( Latin: Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the Discourse on Method and Meditations on First Philosophy. [1] It was written in Latin, published in 1644 and dedicated to Elisabeth of Bohemia, with whom Descartes had a long-standing friendship.
Meditations on First Philosophy, in which the existence of God and the immortality of the soul are demonstrated ( Latin: Meditationes de Prima Philosophia, in qua Dei existentia et animæ immortalitas demonstratur) is a philosophical treatise by René Descartes first published in Latin in 1641. The French translation (by the Duke of Luynes with ...
A centered cube number is a centered figurate number that counts the points in a three-dimensional pattern formed by a point surrounded by concentric cubical layers of points, with i2 points on the square faces of the i th layer. Equivalently, it is the number of points in a body-centered cubic pattern within a cube that has n + 1 points along ...