Sentence examples for function of the second order from inspiring English sources

On the other hand, a performance, along with its physical trappings, falls under the heading of interpretation, commonly held to be a creative function of the second order, though it does not have to be.

where λ is the variational parameter, is the normalization constant, K0 (2λ ρ) is the modified Bessel function of the second order, U 2 (−a′01 ξ1;ξ) and 1 F 1 is the confluent hypergeometric functions.

(|Sy| geq|y|), (y in C cappartialOmega_{1}), and (|Sy| leq|y|), (y in C cappartialOmega_{2}). Let (G t,s)) be the Green's function of the second order Sturm-Liouville boundary value problem left { begin{array}l} -w t)=0,quad tin 0,1), zeta w(0 -theta w'(0 -thetauad rho w(1)+delta w'(1)=0.

The regression models that best fitted the relationships were polynomial functions of the second order.

We have demonstrated that using location-coefficient functions of the second order ODE as features we have accurately classified the tumor and normal samples.

where ρ ( y ) = y − [ y ] − 1 2 is the Bernoulli function of the first order.

We then obtain, (10) where J1 is a Bessel function of the first order.

where ρ ( y ) = y − [ y ] − 1 2 is a Bernoulli function of the first order.

where κ is the Rician factor, and I0 represents the modified Bessel function of the zeroth order and first kind.

where E 1 ( z ) = ∫ z ∞ e − t t dt (24). is the exponential integral function of the first order [25].

Note that, according to the condition of Theorem 5.1, the Cauchy function of the first order equation (5.3) is positive for 0 ≤ s ≤ t ≤ + ∞.