Sentence examples for application of the relation from inspiring English sources

The application of the relation of incommensurability is no longer restricted to diachronic episodes of scientific advance in which two theories are separated by a revolution.

For r ≥ 1, the assertion follows by subsequent application of the relation h ˆ r ( t, t ) = ∫ t t h ˆ r − 1 ( τ, t ) ∇ τ = 0, where the zero value is implied by (4).

Additionally, application of the additivity relation for CASSCF method can in turn reduce the computational cost.

The conditions for application of the directed relation graph (DRG) method in skeletal reduction of mechanisms with vastly different time scales were systematically analyzed.

In this paper, the application of the Rusinek Klepaczko relation to describe the constitutive behaviour of Ti6Al4V titanium alloy with an HCP crystalline structure was proposed.

Our methodology explores the potential application of the close relation between four urban morphological characteristics and the spatial aggregated building energy end-use in the roll-out strategy of interventions.

Interestingly, the application of the logit relation or the use of a simple water balance computation for the catchment, based on real-time rainfall, evapotranspiration and river flow observations, leads to more reliable probability of exceedance estimates than the common direct use of total runoff results from a state-of-the art rainfall runoff model.

This implies that ∥ ϕ n − ϕ n + 1 ∥ E 0 ≤ k ∥ ϕ n − 1 − ϕ n ∥ E 0. for all n ∈ N. Repeated application of the above relation yields ∥ ϕ n − ϕ n + 1 ∥ E 0 ≤ k n ∥ ϕ 0 − ϕ 1 ∥ E 0. for all n ∈ N.

In addition, the proposed relations in the author's previously published paper on the rotational loading of structures are extended, and application of the new relations is examined.

Τhe proposed methodology is compared to the current state-of-practice, via application of the proposed relations to an example problem.

The fractional derivative Kelvin model is used to demonstrate the application of the K K relations for a class of unbounded complex modulus.