Sentence examples for functional solution of from inspiring English sources

In [3] problem 24.5.6, Ismail proposed the extension of the action of E q y to measurable functions and proving that the only measurable functional solution of the q-analogue of the Cauchy functional equation E q y f ( x ) = f ( x ) f ( y ). is the q-exponential function.

But it ultimately speaks to the unquashable spirit and ingenuity of both humans and nature, that creates beautiful and functional solutions out of rubbish, bred of need.

The exact solutions that represent a class of exact functional solutions for the buckling problem of non-uniform columns subjected to axial concentrated and distributed loading are obtained.

Moreover, an MIP film is deposited from a functional monomer solution of a porogenic solvent, sometimes with the use of a cross-linking monomer [ 40], directly onto an electrode surface in the presence of a template (Fig.  4).

The functional equation (1.1). is said to be a quadratic functional equation because the quadratic function is a solution of the functional equation (1.1).

It is easy to show that the function satisfies the functional (1.10), which is called a cubic functional equation and every solution of the cubic functional equation is said to be a cubic mapping.

It is easy to show that the function satisfies the functional equation (1.4) which is called a quartic functional equation and every solution of the quartic functional equation is said to be a quartic function.

It is easy to show that the function f(x) = x3 satisfies the functional equation (1.2), which is called a cubic functional equation and every solution of the cubic functional equation is said to be a cubic mapping.

It is easy to show that the function satisfies the functional equation (1.2), which is called a cubic functional equation and every solution of the cubic functional equation is said to be a cubic mapping.

It is easy to show that the function f(x)=x2 satisfies the functional Equation (1), which is called a quadratic functional equation, and every solution of the quadratic functional equation is said to be a quadratic mapping.

It is easy to show that the function f ( x ) = x 4 satisfies functional equation (1.2), which is called a quartic functional equation, and every solution of the quartic functional equation is said to be a quartic mapping.