Sentence examples for define a new functional from inspiring English sources

Colombo, I. Sabadini, D.C. Struppa, Slice monogenic functions, Israel J. Math., in press] to define a new functional calculus for an n-tuple T of not necessarily commuting operators.

We, therefore, define a new functional module called the User-Context Module, and describe its architecture and key design principles.

Define a new functional (f u_{cdot}): mathcal{U}rightarrowmathbb {R}) by f u_{cdot})=mathbb{E} int_{0}^{T}mathcal{H}^{varepsilon} t,u_{t}),dt.

We propose to explicitly take the end-user into account by defining a new functional module called the User Module across the layers of the Internet protocol stack.

We defined a new functional parameter (angle beta) related to the shape of the MEFV curve in order better to characterize the respiratory effects of cotton dust exposure.

Our finding defines a new functional class of FRI alleles, in which accessions carrying the FRI-Ler allele would flower in between the late and early flowering groups defined so far.

We now incorporate the total variation of Φ as a penalty term by defining a new functional [ 18]: Here L = ∫ ω Φ 2 | ∇ Φ | 2 + δ 2 d x d y is the penalty term, and ω Φ and δ are typically positive parameters that need to be determined numerically.

Here we define a new function, (3.5).

For our functional genomic analysis, we define a new variable, percent 'fRNA coverage,' which is the length of the coding region for a gene overlapping a predicted fRNA divided by the length of that gene.

In analogy with the definition of exponential stability in terms of two measures we can use the existence of a Lyapunov-Krasovkii functional with specific properties to define a new type of stability.

This is done by global methods: since the associated Euler functional might be unbounded from below, we define a new model space, generalizing the so-called space of formal barycenters and characterizing (up to homotopy equivalence) its low sublevels.