Sentence examples for a standard argument of from inspiring English sources

By a standard argument of compact operator, it is easy to show that T is a compact operator and it is strong positive, meaning that T h > 0 on I ˆ for any h ∈ X with the condition that h ≥ 0 and h ≢ 0 on I; see [2, 4, 5].

By the fact that (sup_{tgeq1}mathbb{E}exp{theta N_{t}} 0)) (see Li [2]) and (theta_{n}to0), a standard argument of an exponential approximation by the Hölder inequality enables us to remove the term (theta_{n}N_{n+1}) from the above equation.

By a standard argument on the time extension of smooth solutions, we obtain (T^{epsilon}geq T_{ast}), i.e. (T^{epsilon}=T_{ast}).

The continuity of ρ can be proved by a standard argument from the theory of hyperbolic equations.

If so, a standard argument runs, the content of 'Petrarch' cannot be the same as that of 'the famous humanist most closely associated with the Italian Renaissance'.

A standard argument shows that critical points of Φ are solutions of the system (VS).

In particular, a standard argument shows that critical points of (Phi_{1}) are solutions of problem (1.1) (see [33] and [38]).

In fact, we can show the stability of the closed-loop control system by using a standard argument in the stability analysis of model predictive control with a terminal constraint (e.g., ([33], Chapter 6), ([34], Chapter 2), or ([35], Chapter 5)).

Hence, we deduce by means of a standard argument that, a.e.

Moreover, from our proof of (1) and the corresponding generalizations we are able to apply a standard argument and find (L^p) versions of the inequalities.

A standard argument gives that the critical points of (I phi,psi)) are the solutions of system (1.1).