Sentence examples for continuous up to from inspiring English sources

Suppose u s is continuous up to at least one continuity point z 1 ∈ S Open image in new window of u0, then u0 z1) = u s (z1) + c, implying c = u0 z1) - u s (z1).

It is found that during inflation (deflation) with adhesive contact, the meridional stretch exhibits continuity up to C0 (C−1) at the contact junction, while the circumferential stretch remains continuous up to C1 (C1).

In Theorem 1.3, it is not necessary to assume that and are continuous up to.

Nevertheless we conjecture that the spectrum of A is absolutely continuous up to perhaps a discrete set of eigenvalues.

To complete the proof of the theorem, it needs only to examine that u is continuous up to the boundary of Ω.

The behavior of such gapless surface states that exist on the topologically non-trivial side is continuous, up to and at the gap closing.

The BBC's Scotland Decides will bring continuous, up-to-date, coverage all through the night, as well as comprehensive analysis.

Also, although all their registrants must maintain 'a continuous up-to-date and accurate record of their CPD activities', this requirement is linked to a set of professional competencies associated with the profession and are less specific.

As a result of the EBM training they submitted a petition to the German national parliament demanding continuous up-to-date information about clinical trial publications, putting EBM decision making into practice, and guidelines which explicitly have to be evidence-based [ 47].

When the cotyledons had opened maximally, the seedlings were subjected to one of the four photoperiodic treatments: dark (continuous darkness up to 48 h), light (continuous light up to 48 h), SD (short-day, 8 h light and 16 h dark), LD (long-day, 16 h light and 8 h dark).

Consider the space (AC^{n}[0,T]) of functions with absolutely continuous derivatives up to order (n-1) and with absolutely continuous n-derivative.