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Because the Hamiltonian (or the invariant operator) of the system is somewhat complicated, we had transformed the Hamiltonian to a simple form by using a unitary operator.
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By contrast, instead of competing for resources handed out by a web of government and private donors, all with their own different criteria, the NGO proposal suggests making decisions based on peer review by the fund's implementing agencies, using a unitary framework focused solely on quality, need and impact.
The first problem is addressed by not extrapolating the fitting function but using a unitary line beyond the range of each study.
As an alternative, you can use a unitary (these can be purchased online or from dance supply stores).
By using the unitary extension principle, we constructed tight framelets with desired approximation order from a given smoothed pseudo spline.
In this paper, we design tight-frame symmetric wavelet filters by using the unitary extension principle of [A. Ron, Z. Shen, J. Funct. Anal. 148 (1997) 408 447].
Moreover, by using the unitary extension principle, we get the construction of tight framelets with desired approximation order based on smoothed pseudo splines.
In this section, we give a construction of tight framelets and discuss the approximation order of tight framelets from smoothed pseudo splines by using the unitary extension principle of [4].
Then, by using the unitary property of matrices U and V, we can compute the singular value associated to the singular vectors u 1 and v 1 by (d_{1} = boldsymbol {u}_{1}^{T}boldsymbol {K}_{xy}boldsymbol {v}_{1}).
Linear combinations of the eigensolution obtained with an estimate of the stiffness properties are taken by using unitary transformation matrices to identify the actual eigensolution.
All nodes of a given VAA (cooperating nodes plus the main node) will simultaneously access the channel by using the same unitary resource, selected with probability 1/R.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com