Sentence examples for a complementary function to from inspiring English sources

(PhiinDelta_{2}), Φ̅ is a complementary function to Φ, both Φ and Φ̅ are locally integrable and satisfy ((Phi_{2})).

Let (Phiin N(Omega)), and satisfy the condition :  (PhiinDelta_{2}), Φ̅ is a complementary function to Φ, both Φ and Φ̅ are locally integrable and satisfy ((Phi_{2})).

(PsiinDelta_{2}), Ψ̅ is a complementary function to Ψ, both Ψ and Ψ̅ are locally integrable and satisfy ((Phi_{2})), (PhipreceqPsi), and the embedding (W^{1}L_{Phi}(Omega )hookrightarrow L_{Psi}(Omega)) is compact.

We assume that there exists (Psiin N(Omega)) satisfying the condition :  (PsiinDelta_{2}), Ψ̅ is a complementary function to Ψ, both Ψ and Ψ̅ are locally integrable and satisfy ((Phi_{2})), (PhipreceqPsi), and the embedding (W^{1}L_{Phi}(Omega )hookrightarrow L_{Psi}(Omega)) is compact.

It can also be used as a complementary function to these previously ones.

Heat shock proteins that repair unfolded or misfolded protein have a complementary function to the ubiquitin-proteasome system (ubiquitins not tabulated) that selects damaged protein for degradation [ 273], such that HSP chaperones and the proteasome act jointly to preserve cellular proteostasis [ 274, 275].

Chinese Fusion Engineering Testing Reactor (CFETR) is a superconducting magnet Tokamak, which has the equivalent scale with complementary function to International Thermonuclear Experimental Reactor ITERR).

(sinOmega), where ((Psicirc KPhi^{-1})^) is the complementary function to the function (Psicirc KPhi^{-1}), which finishes the proof.

This seems to be the case of the uvrC homolog (cho), which has been found to have a complementary function in E. coli [ 18- 20].

This implies a complementary function of both copper resistance systems.

BUWT installations can also perform a complementary function beside photovoltaic (PV) plants considering the seasonal anticorrelation in the time pattern of the wind and solar resources [27].