2003, Zhang and Tong 2005), we primarily examined two types of model form: multiple

polynomial function and power function (Table 2).

Primarily to find

polynomial functions (1) at borders of each interval with using translation of coordinates system x-x0 with conversion of coefficients (2).

Olshanski, we shall call it the algebra of

polynomial functions and denote it by [[LAMBDA].

The coefficients are recovered as step

polynomial functions of t.

1 For a given interesting

polynomial function F on the set of Young diagrams, how to find explicitly the expansion (1) of F as a linear combination of the numbers of colorings [N.

Theorem 8 Let F : Y [right arrow] R be a

polynomial function on the set of generalized Young diagrams, we shall view it as a polynomial in [S.

There is no known simple

polynomial function p: N [right arrow] R where p(n) = the nth prime number.

In this paper, we extend the method by replacing tanh function with some other functions f(x), such as

polynomial function, trigonometric and elliptical function, where the choice of the function f(x) is different according to equation.

linear function,

polynomial function of second and third degree, exponential function, logarithmic function, power functions and other function with curvilinear shape), the best match was observed for square function (

polynomial function of second degree).

where PL(x) is the response

polynomial function of peak crushing force.

As a result, we need to construct the

polynomial functionThus, the

polynomial function P - Q : Q [right arrow] Q[[x.

for all x, y [member of] V \ {0}, then there exists a unique generalized

polynomial function F : V [right arrow] Y of degree 3 with f(0) = F(0) such that

Each profile was fitted by a third degree

polynomial function (least squares method) to remove the form, keeping only waves and roughness.

The best fitted models for predicting tree-level lumber value recovery were considered to be the following forms for the two types of sawmills: 1) the second-order

polynomial function with diameter at breast height (DBH) alone, 2) the

polynomial function with only the cross product term of squared DBH and tree height, and 3) the power function with DBH, tree height, and tree taper.