Sentence examples for existence of order from inspiring English sources

We start with theoretical explanations for the existence of order imbalance and its effects on asset prices.

We prove a long time existence, of order C r)ε−r for all r⩾3, for small solutions, of order ε≪1, in high Sobolev norms of Klein Gordon equation with Hamiltonian nonlinearities.

Swinburne writes: "the existence of order in the world confirms the existence of God if and only if the existence of this order in the world is more probable if there is a God than if there is not.... the probability of order of the right kind is very much greater if there is a God, and so that the existence of such order adds greatly to the probability that there is a God".

Thus, the existence of order effects implies that the chained equations algorithm is not equivalent to imputing from any joint model.

The existence of order-1 periodic solutions and order-2 limit cycles has been shown in previous sections.

For example: the global existence of order-2 limit cycles and their stabilities have not been solved yet.

This lemma is used to prove the existence of order-one periodic solution of system (1) in Section 3.

However, authors of [16] only investigated the existence of order-1 periodic solution due to the limitations of the method they used.

In Section 3, the existence of order-1 periodic solution of system (1) is discussed by the successor function method and Bendixson theorem of impulsive differential equations.

In this section, the existence of order-1 periodic solution of system (1) is investigated by using the differential equation geometry theory and Bendixson theorem of impulsive differential equations.

Firstly, the existence of order-1 periodic solution of the system is investigated by successor functions and Bendixson theorem of impulsive differential equations, then the stability of periodic solutions is proved by the analogue of the Poincaré criterion.