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Simplicity is the state or quality of being simple. Something easy to understand or explain seems simple, in contrast to something complicated. Alternatively, as Herbert A. Simon suggests, something is simple or complex depending on the way we choose to describe it. [1] In some uses, the label "simplicity" can imply beauty, purity, or clarity ...
Some attempts have been made to re-derive known laws from considerations of simplicity or compressibility. [ 24 ] [ 76 ] According to Jürgen Schmidhuber , the appropriate mathematical theory of Occam's razor already exists, namely, Solomonoff's theory of optimal inductive inference [ 77 ] and its extensions. [ 78 ]
Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems : The primary arithmetic (described in Chapter 4 of LoF ), whose models include Boolean arithmetic ;
Created Date: 8/30/2012 4:52:52 PM
[106] [107] [108] In a critique often shared by prominent intellectual Noam Chomsky, [109] Nathan Robinson of Current Affairs called Peterson a "charlatan" who gives "the most elementary fatherly life-advice" while adding "convolutions to disguise the simplicity of his mind." [110]
Researchers in the field of educational psychology have identified several principles of learning (sometimes referred to as laws of learning) which seem generally applicable to the learning process. These principles have been discovered, tested, and applied in real-world scenarios and situations.
For simplicity we describe the 1-dimensional case; the higher-dimensional case is similar except that notation becomes more involved. Suppose that F is a (1-dimensional) formal group law over R. Its formal group ring (also called its hyperalgebra or its covariant bialgebra) is a cocommutative Hopf algebra H constructed as follows.
In continuum mechanics, a power-law fluid, or the Ostwald–de Waele relationship, is a type of generalized Newtonian fluid. This mathematical relationship is useful because of its simplicity, but only approximately describes the behaviour of a real non-Newtonian fluid.