Given a compact Riemannian manifold (Md, g), a finite dimensional representationρ: π1(M →GL V) of the fundamental groupπ1(M) on a vector spaceVof dimensionland a Hermitian structureμon the flat vector bundle[formula]associated toρ, Ray Singer [RS] have introduced the analytic torsionT=T M, ρ, g, μ)>0.
In order to calculate the network coverage, we first introduce the analytic framework presented in[9].
When New Institution Economics introduces the important analytic concept of transactions, it also breaks the hypotheses of instant transactions within New Classical Economics.
To perform the condition (2.23) in the form of a nonhomogeneous Riemann-Hilbert problem we introduce the sectionally analytic function: (2.26).
(See Figure 5, Introducing the PADIE Technique for Operationalizing Analytics). Show available data sources, models to be built, and processes and applications where analytics will have an impact.
(See Figure 5, Introducing the PADIE Technique for Operationalizing Analytics). In that way, permission is secured before the agent makes a call, helping to ensure a smooth channel transition and a superior customer experience.
Nurmi, who rarely ran without a stopwatch in his hand, has been credited for introducing the "even pace" strategy and analytic approach to running, and for making running a major international sport.
Tamura (2014) introduces historical perspective in introducing the significance of both learning analytics and digital textbooks within the contemporary domain of technology-enhanced learning and standards development.
The notion of derivation, introduced from the analytic theory, is helpful for the research of structure and property in an algebraic system.
Twitter has once again expanded access to its analytics data, today introducing the ability to view your "tweet activity" on mobile.
