Sentence examples for with the commutation from inspiring English sources

Not content with the commutation, the Hearst family conducted a 20-year crusade for a presidential pardon.

However, note that the estimator is physically realizable if and only if (kappa =0), since (hat{x}) is a process with the commutation (Theta=J).

The quantum algebra E q ( 2 ) is determined by generators H, E + and E − with the commutation relations [ H, E + ] = E +, [ H, E − ] = − E −, [ E −, E + ] = 0. (39).

One can verify that exactly all Majorana operators of degree one or two can be obtained: One line of reasoning uses Lemma 10 together with the commutation relations [ L ( m 2 p − 1 ), L ( b p ) ] = L ( m 2 p + 2 ) and [ L ( m 2 p ), L ( b p ) ] = − L ( m 2 p + 1 ) to show that all degree-one operators can be generated.

This fact together with the commutations t∂M ○ I τ = I tτ ○ t∂Mand t∂M○ i T = i tT ○ t∂Mmakes Equation 11 equivalent to the following: (13).

Reformers and the White House all acknowledged that even with the commutations, more reforms were needed to make the criminal justice system fair — particularly for drug-related offenses.

With these filters the commutation error between numerical differentiation and filtering can be made arbitrarily small, allowing for derivation of a consistent set of equations for the large scale field.

And maybe, with the Manning commutation — and with his pardon, also announced on Tuesday, of General James Cartwright, who had pleaded guilty to misleading the F.B.I. about his discussions with a Times reporter — he is acknowledging that.

At the same time, many elements of the Exchequer's equity business had dried up, with the Tithe Commutation Act 1836 ending their tithe cases and the Insolvent Debtors Act 1820 establishing the Court of Bankruptcy, removing cases of insolvency from the Exchequer.

He spoke with VICE in the days following the commutation news about what it means to him, to her, for those she's inspired, and what's next.

This proof uses the commutation method and shares structure with the proofs in [2, 5].