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For physically linear polar-elastic solids, when the density becomes a quadratic function of strain measures, reduced representations of the density are established for monoclinic, orthotropic, cubic-symmetric, hemitropic and isotropic materials in terms of appropriate joint scalar invariants of stretch, wryness and undeformed structure curvature tensors.
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Assuming that the amount of catching up decreases as the difference in maturity becomes smaller; we modeled the catch-up as a quadratic function.
Naturally, we call these equations quadratic functional equations and every solution a quadratic function (mapping).
In particular, every solution of the quadratic functional equation is said to be a quadratic function.
A function is called a quadratic function if and only if is a solution function of the quadratic functional equation: (1.1).
The "catch-up" can be modeled as a quadratic function, meaning that the amount of catching up decreases as the difference in maturity becomes smaller.
Thus, it has been called quadratic functional equation, and each of its solutions is said to be a quadratic function.
Hence this equation is called the quadratic functional equation, and every solution of the quadratic equation (1.5) is called a quadratic function.
Another special case is quadratic programming, in which the constraints are linear but the objective function is quadratic; that is, it contains terms that are multiples of the product of two components of x. (For instance, the function 3 x1 2 + 1.4x1x2 + 2 x2 2 is a quadratic function of x1 and x2).
end{aligned} This is a quadratic function.
for all then is a quadratic function.
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