COordinate Rotation DIgital Computer (CORDIC) algorithm is an iterative method for fast hardware implementation of the elementary functions such as trigonometric, inverse trigonometric, logarithm, exponential, multiplication and division functions in a simple and elegant way.
An arithmetic unit that performs parallel one-step addition (subtraction), multiplication, and division is proposed to perform the computations of elementary functions such as square root, logarithmic, exponential, and other related functions.
The algorithm is based on approximation spaces consisting of non-polynomial elementary functions such as exponential functions, trigonometric functions, etc., with the objective of obtaining better approximations for specific types of PDEs and initial and boundary conditions.
It is well understood that sleep deprivation degrades elementary functions such as alertness, attention, and vigilance.
For instance, several well-known classes of special functions such as complete elliptic integrals, Legendre functions, Chebyshev and Jacobi polynomials, and some elementary functions, such as the logarithm, are particular cases of it, cf. [1].
It means that the final closed-form expression depends on arbitrary given coefficients and includes a finite number of elementary operations, such as: '+', '−', '×', '÷'; and elementary functions, such as the Heaviside step function (or unit step function) and the floor function for integer division.
Elementary fluidic functions such as fluid transfer, volumes calibration, mixing, aliquoting and linear dilutions can be parallelized, achieving automatically and rapidly complex operations.
This is also the case for elementary periodic functions such as (sin kx)) and (cos kx)).
The elementary functions of real analysis, such as polynomials, trigonometric functions, and exponential functions, can be extended to complex numbers.
The set of all such elementary functions is referred to as E. Example 2 (Probability of the pattern xxx under CFN star tree t ) The trifurcating star-tree t := (t1) has topology label 0 and common branch length parameter t1 as shown in Figure 1(i).
