This is not a traditional score, and there are times in Act 2 when you crave a number that really moves the action forward (and "She Used to Be Mine," Jenna's 11 o' clock number, needs more oomph), but this song suite is a veritable feast of harmonic expressions of love, affection and existential regret.
The computed transition regime diffusivities are found to be in excellent agreement with those predicted by the reciprocal additivity or harmonic mean diffusivity expression (Bosanquet formula) using the computed diffusion coefficients in the ordinary and Knudsen diffusion regimes for all configurations of flow except for that parallel to unidirectional capillaries.
The harmonic model in Expression 1 is known to be overly simplistic, as audio synthesis derived directly from that model is easily recognized as artificial.
In the harmonic approximation, the expression of the strain energy obtained from the pseudopotential method is formally identical to that of the phenomenological theory of elasticity.
The harmonic model in Expression 1 implies that it is necessary to detect what are the frequency partials of a frame of audio in order to infer the pitches of the active notes in that frame.
If the input contains the rated component and a harmonic component, the expression is shown as follows: x t); = sqrt 2 X_{rm m0} { cos }(2uppi f_{0} t + varphi_{0} ) + sqrt 2 X_{rm m1} { cos }(2uppi f_{1} t + varphi_{10} ) (5)where X m0 is the magnitude of the rated component, X m1 the magnitude of the harmonic component.
The goodness-of-fit for the harmonic model (sinusoidal expression) was tested with a likelihood ratio test against the updated null model including only the intercept parameter (constant expression).
In Section 2, the basics on spherical harmonics are provided, and a closed-form expression for the harmonic coefficients of the vMF density is further derived.
His radical harmonic notions found elegant expression in his lyric tragedies and opera-ballets, works he did not begin composing until he was 50.
Copland's America is heard at the beginning of the concerto: the intense brightness, the clean spaces of the melodies hinting of modal folk tunes, and the use of harshness and harmonic conflict as an expression of optimism, not despair.
