Sentence examples for and thus define from inspiring English sources

With the increasing number of novel agents and delivery techniques being explored in clinical trials there is a strong need for robust and adaptable criteria to monitor response assessment and thus define endpoints.

This paper aims to motivate and define the Structural Control Theoretic context of an important family of complex systems emerging in engineering design and thus define a new research agenda for structural methods of Control Theory.

High-resolution lithostratigraphic and palaeoenvironmental data from each site are used to critically evaluate if the deposits represent the marsh and thus define the battlefield as described by Vergil.

Objective: The aim of this study was to conduct a statistical analysis to determine the outcome of conservative treatment after delivery of a first fetus in multiple pregnancy and thus define new prognostic factors.

Cut-off points of 50 and 70 for patient satisfaction with surgery were chosen, and thus define a binary outcome; patients with satisfaction values below the cut-off should be invited for out-patient evaluation, and patients with values above the cut-off should not.

Let F be the set of all weakly Ky Fan's points of φ, then F ≠ ∅, and thus define a set-valued mapping from M 1 into X, F : M 1 → 2 X, where F = { y ∈ X ∣ for each  x ∈ X  and a net  { y α }  with  { y α } → y  we have  φ ( x, y α ) ⊄ int C  for any  α ∈ D }. Next, we give some important lemmas in proving the generic stability of weakly Ky Fan's points for set-valued mappings.

It is just that, for decades, art world mandarins proclaimed that art was about ideas, and thus defined in part in opposition to craft.

Knifelike instruments predominated and, thus, defined the nature of the fundamental need, namely, that of a cutting tool which could slit and sever.

Diversity provides an ethical orientation and thus defines what a just city should achieve.

Suicide is a heterogeneous phenomenon, and thus defining more homogeneous subgroups may help in understanding its underlying biology and ultimately in its prevention.

Through federal legislation, these expectations have resulted in the requirement that only programs that have been demonstrated to be effective, and thus defined as evidence-based, be used.