Sentence examples for compactly expressed from inspiring English sources

This is compactly expressed below in (25).

The biometric hashing procedure is compactly expressed using: mathbf{b} = text{sign}(mathbf{Rx}), (6).

The results of the algorithm are optimal solutions in the cost-reliability space, with reliability being compactly expressed through the network resilience metric.

By stacking the received signals of all the users into y = [y1⋯ y K ] T, the signal model is compactly expressed as (2).

For notation convenience, the entire signal model over C-GCMAC can be more compactly expressed as a vector memoryless channel of the form y = H x + z, (5).

The method is applicable when the conditional posterior distribution of the parameters (given the observations and the states) can be compactly expressed in terms of a finite dimensional statistic that can be recursively updated.

To compactly express these modulated control forms as sequences of unitaries we now employ the Hadamard representation.

(17) We also define the lth-Segment Projection Vector vec{{mathbb{T}}}^{(l)} :=frac{Omega_{l}}{2} bigl(cos (phi_{l}),sin (phi_{l}),0 bigr) (18) to compactly express the control variables - namely Rabi rate and the rotation-axis vector, projected onto the xy plane of the Bloch sphere - associated with evolution during the lth unitary.

The expansion can be expressed compactly as (4) φ (x, t ) = ∑ n 1 = 0 Λ + 2 ⋯ ∑ n K = 0 Λ + 2 a n 1 … n K (t ) R n 1 (x 1 ) ⋯ R n K (x K ), for a truncation parameter Λ.

If X ij is the expression of gene i in sample j then m i  =  E(X ij ) is the centroid of gene expression levels, which is also expressed more compactly as m =  E P (X).

There you have some key priorities for Greece and its lenders expressed very compactly.