It is shown that similar to the MacWilliams identity for the Hamming metric, the rank weight distribution of any linear code can be expressed as a functional transformation of that of its dual code, and the rank weight enumerator of the dual of any vector depends only on the rank weight of the vector and is related to the rank weight enumerator of a maximum rank distance code.
These represent a large subset of all possible audio DSP functions, and are expressed as a functional term consisting of basic operators.
In this paper, the expression for describing the distribution of flexural stiffness of a non-uniform column is arbitrary, and the distribution of axial forces of the column is expressed as a functional relation with the distribution of flexural stiffness and vice versa.
The expression for describing the distribution of flexural stiffness of a non-uniform column is arbitrary, and the distribution of axial forces acting on the column is expressed as a functional relation with the distribution of flexural stiffness and vice versa.
The results suggest in ER+ and ER- cell lines that express ACOX2-i9, it is expressed as a functional protein involved in growth/proliferation of these cells in vitro.
The equation of state is expressed as a functional relationship connecting the various parameters needed to specify the state of the system.
In this paper, the expression for describing the distribution of mass is arbitrary, and the distribution of longitudinal stiffness is expressed as a functional relation with the mass distribution and vice versa.
The precursor of the human intestinal alkaline phosphatase becomes correctly processed and is expressed as a functional enzyme.
In summary, the energy functional of the shells is expressed as a function of five displacement components firstly.
In summary, the shell energy functional, written in terms of stress resultants and mid-surface strains, is expressed as a function of five displacement components by using the constitutive and kinematic relationships.
Em° is expressed as a function of temperature.
