Sentence examples for matrix the commutation from inspiring English sources
For matrix, the commutation matrix satisfies.
where is the commutation matrix of size [30].
The commutation relations for the processes dy is determined by the matrix (T_{y}) given by the following bigl[dy(t),dy^{T}(t bigr]=2T_{y},dt, with (T_{y}=frac{1}{2} (F_{y}-F_{y}^{T})).
The initial state (x 0)) is Gaussian with state (rho_{0}) and satisfies the commutation relations1 bigl[x_{j}(0),x_{k}(0 bigr]=2iTheta_{jk},quad j,k=1,2,ldots,n, where Θ is a real antisymmetric matrix with components (Theta _{jk}) and (i=sqrt{-1}).
Some strongly attacked the commutation.
When the commutation fee was repealed in 1864, the price of substitutes became prohibitive.
But the San Diego district attorney and Mr. Santos's parents said they were shocked at the commutation.
"For all practical purposes," Mr. Marlan said, "the commutation for this prisoner is done".
When Ms. Granholm learned of their objections, she halted the commutation in a rare decision.
Mr. Keith's legal team applauded the commutation but said he should be freed.
They persuaded him to recommend granting the commutation.
