Sentence examples for example under different from inspiring English sources

Taking a waxy crude oil transportation pipeline in Daqing Oilfield as an example, under different initial oil temperatures, different environmental temperatures and different soil thermal conductivities, the distribution of temperature field in pipeline and soil is simulated, the influence mechanism on temperature field of these three cases is analyzed.

For example, under different conditions, Graef and Kong [19, 20] investigated the existence of positive solutions for boundary value problems with fractional q-derivatives in terms of different ranges of λ, respectively.

Therefore, the derived features are invariant to monotonic gray-level changes in the pixel values and can thus be applied to textures which may be obtained, for example, under different illumination conditions.

For example, under different conditions, Wang et al. [8] and Ren and Chen [9] established the existence of positive solutions to four-point boundary value problems for nonlinear fractional differential equations with p-Laplacian operator by using the upper and lower solutions method and fixed point theorems, respectively.

This assumption can be violated when the experimental conditions are dramatically different from each other, for example, under different stress conditions.

Although the disentanglement of natural and sexual selection acting on different fins is difficult, future studies could address whether changes in allometry between fins might appear, for example under different environmental conditions.

The proposed method is demonstrated on several examples under different loadings and stiffness constraints.

Two simulated examples under different network topologies illustrate the feasibility of our approach.

Finally, through the comparative analysis of examples under different real-time pricing scenarios, this paper aims to explore and design the future dynamic real-time electricity pricing mechanism in China, predicts the dynamic real-time pricing level and provides a reference for real-time electricity price promotion in the future.

Illustrative examples under different loading and geometric conditions are considered to study the local dynamic field, the effective properties of the composite media based on self-consistent material modelling, and the behaviour of stop-band of wave propagating for periodic inhomogeneity arrangements.

To demonstrate the effectiveness and efficiency of the proposed control strategy, performances of uncontrolled, linear quadratic Gaussian (LQG -controlled and NSO-controLQG -controlledandorms under different sea states are evaluated.