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Lambda calculus is Turing complete, that is, it is a universal model of computation that can be used to simulate any Turing machine. [3] Its namesake, the Greek letter lambda (λ), is used in lambda expressions and lambda terms to denote binding a variable in a function.
In mathematics, an algebraic function is a function that can be defined as the root of an irreducible polynomial equation. Algebraic functions are often algebraic expressions using a finite number of terms, involving only the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power. Examples of ...
Algebra is the branch of mathematics that studies certain abstract systems, ... and "function machines" representing equations as flow diagrams.
Schematic depiction of a function described metaphorically as a "machine" or "black box" that for each input yields a corresponding output The red curve is the graph of a function, because any vertical line has exactly one crossing point with the curve. A function f from a set X to a set Y is an assignment of one element of Y to each element of X.
Weil function A Weil function on an algebraic variety is a real-valued function defined off some Cartier divisor which generalises the concept of Green's function in Arakelov theory. [45] They are used in the construction of the local components of the Néron–Tate height. [46] Weil height machine
Algebraic functions are functions that can be expressed as the solution of a polynomial equation with integer coefficients. Polynomials: Can be generated solely by addition, multiplication, and raising to the power of a positive integer. Constant function: polynomial of degree zero, graph is a horizontal straight line
(In 1996 Macsyma added LAPACK which greatly increased the speed of most numerical linear algebra.) . The development team, at this time, included Jeff Golden (language, compiler, etc.), Bill Gosper (special functions, summation), Howard Cannon (user interface, optimization), and several consultants. Bill Dubuque worked on integration, equation ...
Curriculum and Assessment in an Age of Computer Algebra Systems Archived 2009-12-01 at the Wayback Machine - From the Education Resources Information Center Clearinghouse for Science, Mathematics, and Environmental Education, Columbus, Ohio. Richard J. Fateman. "Essays in algebraic simplification." Technical report MIT-LCS-TR-095, 1972.