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In the no-core shell model (NCSM) framework, we discuss two approaches to the effective interactions based on (i) unitary transformations and (ii) effective field theory (EFT) principles.
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The I n × I n unitary matrix is denoted by I I n.
Since all V j and W i are unitary matrices, we still have that for, and hence we know that C≤a i ≤D, C≤b i ≤D and c i ≤D for all i.
Thus, Kant argues against the inference to the simplicity of the soul, by remarking that the psychologist here is surreptitiously deducing the actual simplicity of a metaphysical object simply from the formal features of subjectivity (the fact that the "I" is unitary in our representational economy).
Channel activity was analyzed as NPo = I/i, where I is mean total current in a patch and i is unitary current at this voltage.
Is grounding unitary in the sense that there is a single dependence relation in play in claims like those discussed above?
As Imax = i×N×P(O max, where i is unitary current, N is the number of channels, and P(O max is the maximum open probability that can be achieved, a change in any of these parameters will cause maximal current amplitude to change.
We further assume that S is unitary, i.e., S ∗ S=I M, which means that the pilot vector sent from each transmit antenna is orthogonal to each other and has the same energy.
This is presented in the context of classically controlled quantum computation where a classical program controls a sequence of quantum operations, i.e. unitary transformations and measurements acting on a quantum memory.
Furthermore, the increasing and the decreasing is unitary, i.e., the (k_{rm out}) can vary at each time step of (pm 1).
Fortunately, the two subproblems in (2) often admit closed-form solutions provided that (theta_{i}(cdot) (i=1,2)) are some the functions (such as (theta_{i}(cdot)=Vert cdot Vert _{1}), (Vert cdot Vert _{2}) or (Vert cdot Vert _)) and the matrices (A_{i} (i=1,2)) are unitary (i.e. (A_{i}^{top}A_{i} (i=1,2)) are the identity matrices).
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