Sentence examples for function system of from inspiring English sources

Since some coefficients in the coupled ODE PDE system are time-varying, this results in the time dependency of some coefficients in the kernel function system of the backstepping transformation and it is non-trivial to show well-posedness of the latter system.

Theorem 1.1 Let { S i } i = 1 ∞ be an infinite iterated function system of contractive similitude on R d.

The fuzzy linear boundary value problem is converted to a crisp function system of linear equations by the undetermined fuzzy coefficients method.

Then there exists S J = ( X, ( f i ) i ∈ J ), a sub-iterated function system of S, such that card ( J ) ≤ A. and A ( S ) = A ( S J ). Proof Let us consider P A ( I ) = { J ⊆ I | card ( J ) ≤ A }.

Moreover, we prove that given an arbitrary infinite cardinal number A, if the attractor of an IIFS S = ( X, ( f i ) i ∈ I ) is of type A, where ( X, d ) is a complete metric space, then there exists S J = ( X, ( f i ) i ∈ J ) a sub-iterated function system of S, having the property that card ( J ) ≤ A, such that the attractors of S and S J coincide.

Definition 2.1 A metric space ( X, d ) is said to be of type A, where A is a cardinal number, if there exists a dense subset A of X having the property that card A ≤ A. Definition 2.2 Given an IIFS S = ( X, ( f i ) i ∈ I ) and a subset J of I, the IIFS S J = ( X, ( f i ) i ∈ J ) is called a sub-iterated function system of S (a sub-IFS of S for short).

According to the sign of coefficient functions of the fuzzy linear differential equation, the corresponding function systems of linear equations were set up.

Then we derive a fuzzy approximate solution of the fuzzy linear differential equation from solving crisp function systems of linear equations.

This is similar to the "dual-function" system of Indonesia under President Suharto until he was ousted in 1998.

After him, there existed a functioning system of government.

The best antidote to illegal immigration is a functioning system of legal immigration….Obama has promised to once again act unilaterally if Congress fails to take up immigration reform.