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In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots and compositions of finitely many polynomial, rational, trigonometric, hyperbolic, and exponential functions, and their inverses (e.g., arcsin, log, or x 1/n).
Elementary is an American crime drama created by Robert Doherty and loosely based on Sherlock Holmes and other characters appearing in the works of Sir Arthur Conan Doyle. The series stars Jonny Lee Miller, Lucy Liu, Aidan Quinn, and Jon Michael Hill and premiered on CBS on September 27, 2012. On December 17, 2018, it was announced that the ...
Elementary is an American procedural drama television series that presented a contemporary update of Arthur Conan Doyle's character Sherlock Holmes.Created by Robert Doherty and starring Jonny Lee Miller as Sherlock Holmes and Lucy Liu as Dr. Joan Watson, the series aired on CBS for seven seasons from September 27, 2012, and ended on August 15, 2019, after 154 episodes.
Kalmar defined what are known as elementary functions, number-theoretic functions (i.e. those based on the natural numbers) built up from the notions of composition and variables, the constants 0 and 1, repeated addition + of the constants, proper subtraction ∸, bounded summation and bounded product (Kleene 1952:526).
In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function. [1] A theorem by Liouville in 1835 provided the first proof that nonelementary antiderivatives exist. [2]
Elementary, a widget set based on the Enlightenment Foundation Libraries; Elementary abelian group, an abelian group in which every nontrivial element is of prime order; Elementary algebra; Elementary arithmetic; Elementary charge, e, of a single electron; Elementary definition, in mathematical logic; elementary OS, a Linux distribution
In other words, the only functions that have "elementary antiderivatives" (that is, antiderivatives living in, at worst, an elementary differential extension of ) are those with this form. Thus, on an intuitive level, the theorem states that the only elementary antiderivatives are the "simple" functions plus a finite number of logarithms of ...
This song teaches about the computer, introducing the recurring characters Scooter Computer and Mr. Chips. (This episode was left off of the DVD release, reportedly due to ABC having lost the master tape. Darrell Stern, the voice of Scooter Computer, preserved a copy on VHS and posted it to YouTube. [7])