The untyped Lambda Calculus
... There are two Boolean values - true and false - and four “interesting” operations on them - the unary not and the ternary and, or, xor. One way to encode true and false is as a function that takes two parameters and returns one of them. true returns the first one, false returns the second one. The d ...
... There are two Boolean values - true and false - and four “interesting” operations on them - the unary not and the ternary and, or, xor. One way to encode true and false is as a function that takes two parameters and returns one of them. true returns the first one, false returns the second one. The d ...
De nition and some Properties of Generalized Elementary Functions
... even if the functions are non-elementary, very often the studying of these non-elementary functions lead to generalized elementary functions. According to the de nition of generalized elementary functions given in this note, there are functions that are usually considered to be non-elementary, but a ...
... even if the functions are non-elementary, very often the studying of these non-elementary functions lead to generalized elementary functions. According to the de nition of generalized elementary functions given in this note, there are functions that are usually considered to be non-elementary, but a ...
Function of several real variables
In mathematical analysis, and applications in geometry, applied mathematics, engineering, natural sciences, and economics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables. This concept extends the idea of a function of a real variable to several variables. The ""input"" variables take real values, while the ""output"", also called the ""value of the function"", may be real or complex. However, the study of the complex valued functions may be easily reduced to the study of the real valued functions, by considering the real and imaginary parts of the complex function; therefore, unless explicitly specified, only real valued functions will be considered in this article.The domain of a function of several variables is the subset of ℝn for which the function is defined. As usual, the domain of a function of several real variables is supposed to contain an open subset of ℝn.