Analytic approximation of Volterra’s population model

Nonperturbative coherent population trapping: an analytic model.

Coherent population trapping is shown to occur in a driven symmetric double-well potential in the strong-field regime. The system parameters have been chosen to reproduce the 0(-) <--> 3(+) transition of the inversion mode of the ammonia molecule. For a molecule initially prepared in its lower doublet we find that, under certain circumstances, the 3(+) level remains unpopulated, and this occurs...

Analytic approximation of Gibbs potentials to model stochastic textures

Gibbs random fields with multiple pairwise pixel interactionshave good potentialities in modeling natural image texturesbecause allow for learning both the structure and strengths ofpixel interactions from a given training sample. The learningscheme is based on the maximum likelihood estimate (MLE) ofGibbs potentials that specify the interaction strenghts. Thisscheme is amplified here by deduci...

Analytic Approximation Theorem

O17: The Analytic Model of Talent

The secret of success for organizations is the discovery and application of their employees' &ldquo;talent.&rdquo; Yet, the most important matter is for individuals to discover their own top talent. Research findings show that each individual has his or her own unique inborn and acquired feature, including special temperament instinct and innateness. Humans&rsquo; temperaments and instincts act...

Approximation of Analytic Functions by Kummer Functions