Sentence examples for continuous together from inspiring English sources

u : R + → R +. C 1 ( R + ; R + ) is the set of functions u : R + → R + which are continuous together with their first derivative.

AC loc ′ is the set of functions u : ] α, β [ → R, which are absolutely continuous together with their first derivative on every closed subinterval of ] α, β [.

A C loc ′ is the set of functions u : ] α, β [ → R, which are absolutely continuous together with their first derivative on every closed subinterval of ] α, β [.

By a solution to (1.2), (1.3) we understand a function u : [ 0, ω ] → R which is positive, absolutely continuous together with its first derivative, satisfies (1.2) almost everywhere on [ 0, ω ], and verifies (1.3).

For a real-valued function x, t ∈ J, continuous together with its first derivative x ′ for t ∈ J, we denote | x ( t ) | 1 = | x ( t ) | + | x ′ ( t ) |. Denote by ℰ the space of functions which fulfill the condition | x ( t ) | 1 = O ( exp ( λ t ) ), t ∈ J, (3.2).

The continuous GNPs together with MWCNTs greatly increased the surface area, conductivity and electrocatalytic activity.

We found that in the skin the nano-silica particles agglomerate at the surface forming a strong continuous structure together with the char residue from the epoxy.

Depicting one continuous canvas together, each one of the nine drawings uses a particular oblique projection (plan, elevation or cavalier) and complicates the part-to-whole relationship of the collective canvas.

Collecting continuous video together with multichannel electrophysiological data and other experimental modalities requires high bandwidth and storage capacities, as well as accurate synchronization to detect correlations between different recorded events.

Assurance of long-term persistence of remaining caldén populations should involve the incorporation of propagules from the continuous forest together with effective restoration efforts to enable gene flow via pollen and seeds among populations through forest corridors.

Clearly, is continuous, which, together with the convexity of, implies that is weakly lower semicontinuous.