In fact, it seems reasonable to expect that if we constructively prove a disjunction φ∨ψ, then we should also be able to prove φ or prove ψ.
It is constructively proved that the multi-input multi-output fuzzy systemulti-input multi-outputny-valued imulti-input multi-outputl approximators (they are called Boolean type fuzzy systems in this paper).
According to Farouki [2], the Bernstein polynomial basis was introduced 100 years ago (Bernstein, 1912) as a means to constructively prove the ability of polynomials to approximate any continuous function, to any desired accuracy, over a prescribed interval.
We constructively prove the existence and uniqueness of rational-order power functions, which enables us to present graphs of power functions on some chosen time scales for the first time.
The upper bounds are proven constructively for approximation and non-constructively for integration.
In particular, in proving game-theoretic properties like fairness, we demonstrate success for the specific strategy that the protocol designer had in mind, instead of non-constructively proving that a strategy exists.
In consequence of this fact, a theorem about sets proved constructively was immediately seen to be valid not only for sets but also for sheaves, which, however, lie beyond the scope of this article.
We define the median stable matching for two-sided matching markets with wages and prove constructively that it exists.
In the present article we prove constructively the existence of type II blow-up solutions for the Joseph Lundgren critical case, thus giving an answer to this question.
First, with the aid of properties of the mechanical parameters of two-link planar robots, this paper proves constructively that stable controllers exist for stabilizing the UEP (Upright Equilibrium Point with two links being still in the upright position) of each robot by designing a single output with an adjustable parameter.
