Sentence examples for derived earlier from inspiring English sources

Newton's derivation of Proposition 43 depends on his Proposition 2, derived earlier in the Principia.

This is coincident with the theoretical results derived earlier.

The same governing equations were derived earlier by Budiansky using tensors.

We plot the capacities of ZF and LMMSE for various interference intensities in Fig. 3 using the equations derived earlier.

The proof of the result is similar to the one as derived earlier for trapezoidal intuitionistic fuzzy numbers.

It should be apparent that we now have the same set of contradictions we derived earlier in "Frege's puzzle".

With a reporter design capable of detecting both distal enhancers and silencers, we analyzed 46 putative cis-regulatory modules (CRMs) in cells representing myeloid progenitors, and derived early macrophages or neutrophils.

The late retention of dP4 and dP4 is seen in derived early Oligocene phiomorphs such as Metaphiomys, and is a consistent feature of fossil phiomorphs through the Oligocene and Neogene [14], [30].

Both clades are widely represented in bacteria suggesting that this superfamily was derived early in bacterial evolution.

Melanoma lymph node metastases and derived early passage cells lines from three patients were analyzed for regional and clonal differences in this study.

Our results indicate that digit ratios are not associated with maternally derived yolk androgens in pied flycatchers, thus downplaying their importance as a general phenotypic marker for maternally derived early androgen exposure.