Sentence examples for although functions from inspiring English sources

Although functions and other constants may be left varying during circumscription, no earlier formalism to the best of our knowledge minimized functions.

We also show that the Harnack inequality fails for a large class of Ornstein Uhlenbeck processes, although functions that are harmonic with respect to these processes do satisfy an a priori modulus of continuity.

Although functions of the ATP synthase only require the relative rotation between the stator and rotor, it is commonly assumed that the stator is stationary relatively to the membrane, while the rotor rotates inside the membrane.

Note that although functions η(x) defined in (3) and ν(x) in (6) are both convex, the expression of the MSE becomes extremely complex if we substitute directly (3) and (6) into (7).

Although functions for these secretion pathways have been established for intestinal pathogenic E. coli, their roles in the virulence of ExPEC have not been investigated.

Although functions have been attributed to USVs produced in the laboratory, it is important to understand them in the wild because only then can the social context of USV evolution be understood.

Although functioning independently in most situations, the villages would ally for war, and members of different villages often married.

Morphological imaging combined with "spatial" models appears to perform well although functioning imaging could still provide further information on metabolism and the micro-architecture.

Although function shift of S. oneidensis ArcA, Crp, and EtrA appears to be substantial, an examination of their canonical roles is much needed.

Kn was previously shown to be required for lamellocyte development although function is non-cell autonomous [33], a conclusion supported by our results.

Although function tends to be conserved in orthologs, orthology does not guarantee conservation of function [ 38].