2.1, namely we add an appropriate Dirac mass at the origin and then convolve the resulting positive definite measure with a smooth positive definite function of small support.
In this paper, the following assumptions are made for jump system (4.1): (A1)The subsystem with input is JISpS in probability, namely, there exists a smooth positive definite Lyapunov function such that (42).
Not definitive, just definite.
operator connections on (B(mathbb {H})^); operator monotone functions from (mathbb {R}^) to (mathbb {R}^); finite (positive) Borel measures on ([0,1]); monotone (Riemannian) metrics on the smooth manifold of positive definite matrices.
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For unitary representations we show that a vector v is smooth if the corresponding positive definite function ⟨π(g)v,v⟩ is smooth.
where summation with respect to repeated indices is implied,, is a strictly positive definite matrix, uniformly in, for and are smooth functions defined in and satisfies the condition:,.
Immunohistochemistry for smooth muscle actin demonstrated a definite orientation of muscle cells mainly in the lower part of the tissue culture (Fig. 2g i).
Concerning the matrix A we assume that A is symmetric, positive definite and that its entries are C1,γ-smooth functions.
This engine delivered ample and smooth passing power on the freeway, a definite upgrade from the four-banger, and was admirably quiet around town.
Make it thin, smooth, and fairly straight, trailing off without a definite end.
