Wang calculators cost in the mid-four-figures, used Nixie tube readouts, performed transcendental functions, had varying degrees of programmability, and exploited magnetic core memory.
22.
In addition, Euler elaborated the theory of higher transcendental functions by introducing the gamma function and introduced a new method for solving quartic equations.
23.
The Sinclair calculators were successful because they were far cheaper than the competition; however, their design led to slow and inaccurate computations of transcendental functions.
24.
Kepler's equation is a transcendental equation because sine is a transcendental function, meaning it cannot be solved for series expansions are generally required to evaluate.
25.
Alex Wilkie also proved that there exist transcendental functions for which first-order-logic proofs about their transcendence do not exist by providing an exemplary analytic function.
26.
Some have hardware support for operations like scanning for a substring, arbitrary-precision BCD arithmetic, or transcendental functions, while others have only 8-bit addition and subtraction.
27.
Kontsevich and Zagier note that there " seems to be no universal rule explaining why certain infinite sums or integrals of transcendental functions are periods ".
28.
For example, the transcendental functions are defined in terms of infinite limiting processes, and therefore there is typically no way to define them in first-order logic.
29.
It is usually not the case that the general solution of an algebraic differential equation is an algebraic function : solving equations typically produces novel transcendental functions.
30.
It offers bignum precision for basic operations ( addition, subtraction, multiplication, division ) and 32 digits of precision for advanced operations ( square root, transcendental functions ).
