The logarithm and the exponential function are examples of transcendental functions. Transcendental function is a term often used to describe the trigonometric functions, i.e., sine, cosine, tangent, cotangent, secant, and cosecant, also.
The operation of taking the indefinite integral of an algebraic function is a source of transcendental functions. For example, the logarithm function arose from the reciprocal function in an effort to find the area of a hyperbolic sector. Thus the hyperbolic angle and the hyperbolic functions sinh, cosh, and tanh are all transcendental.
In differential algebra one studies how integration frequently creates functions algebraically independent of some class taken as 'standard', such as when one takes polynomials with trigonometric functions as variables.
Wipo Publishes Patent of Simon Rubanovich, Benny Eitan, Amit Gradstein, Thomas D. Fletcher, Intel and Jose-Alejandro Pineiro for "Math Circuit for Estimating a Transcendental Function" (Israeli, American, Spanish Inventors)
Jul 01, 2013; GENEVA, July 1 -- Publication No. WO/2013/095463 was published on June 27.Title of the invention: "MATH CIRCUIT FOR ESTIMATING A...