Sentence examples for depend respectively from inspiring English sources
They depend, respectively, on the uniform norm of the (varphi") and on the Lipschitz constant of φ, as well as on the (L^{1}) and (L^{2}) norms of the function f involved in the inequality.
Except for particular cases, the classical expressions of the Eshelby or Hill polarization tensors, depend, respectively, on a simple or double integral for a fully anisotropic two-dimensional or three-dimensional elastic body.
Lemma 2.1 guarantees that there exist two positive constants (M_{1}) and (M_{2}), which depend, respectively, only on a, such that f u,v =bigglvert a-u frac{4uv}{1+u^{2}}biggrvert leq M_{1}, qquad g u,v =bigglvert u- frac{uv}{1+u^{2}}biggrvert leq M_{2}.
Unlike histories or mythologies which depend respectively on facts and social conventions handed down to us by prior generations many times removed, in the arts we tend to remain prejudiced in favor of the first-hand experience that informs an artist's picture making and storytelling.
Endocytosis and exocytosis are active transport processes which depend, respectively, on the surface concentration and the concentration of HS in vesicles diffusing freely within the cytoplasm.
The rate is expressed in centipoises, reyns, or seconds Saybolt universal (SSU) depending, respectively, upon whether metric, English, or commercial units are used.
The elementary rules consist of two boolean conditions which depends respectively on development stage and soil water availability.
Voluntary actions feel different from involuntary actions, and this difference depends respectively, on the experience of agency or the experience of a lack of agency as the case may be if my body is being moved by someone else.
These pictures show that the vessel contents can be considered to consist of three or four gross circulation vortices depending respectively on whether the angled blade agitator is pumping downwards or upwards.
The wire profiles near the closely perpendicular boundaries showed a smooth local diameter increase or decrease depending respectively on whether the stress was sufficient or insufficient to overcome the effect of the surface tension forces tending to shrink the wire.
According to the IPCC, in assessments of the life-cycle global warming potential of energy sources, wind turbines have a median value of between 12 and 11 (geq/kWh) depending, respectively, on if offshore or onshore turbines are being assessed.
