Sentence examples for presented derivation from inspiring English sources

However, for generality, P is not determined by N in the presented derivation.

The notation of the presented derivation was optimized for conciseness to allow further development of this algorithm.

The presented derivation is applied to a Mitsubishi PA10-6CE robotic manipulator mounted on a 2-DOF platform.

The presented derivation clearly identifies all approximations that were implied in the original derivation such that an additional variant of this algorithm can be formulated.

In Section 7, implications of the presented derivation for real-world implementations are discussed before conclusions are presented in Section 8.

This appendix presents derivation procedures of (4), (5), (6), and (7) in the main text.

In this section, we present derivation of the composite noise variance, and then expression for the SINR degradation is given.

The paper presents derivation of the pertinent equations, the numerical formulations used and details of their numerical implementation in computer programs.

The paper presents derivation of the impedance matrix based on the rigorous solution of the wave equation obtained by the Wiener-Hopf technique for a semi-infinite unflanged cylindrical duct.

This paper presents derivations of analytical equations to examine the composite behavior of the HFRP UHPFRC girders with varying levels of interaction at the slab/girder interface.

First, we presented the derivation for a Helmholtz free energy suitable for finite temperature changes using basic thermodynamics concepts.