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The analytical solution is based on the series expansion of the unknown deflection in a basis of the beam eigenfunctions.
It is meant for large-scale calculations in a basis of orthogonal orbitals for groups of LS terms of arbitrary parity.
We achieve this by constructing a measurement protocol, which enables a classical verifier to ensure that the quantum prover holds an n qubit quantum state, and correctly reports the results of measuring it in a basis of the verifier's choice.
In distributed MIMO radars, block CS methods can be used instead of classical CS ones for more performance improvement, because the received signal in this group of MIMO radars is a block sparse signal in a basis.
And from that, then they could build models where they would describe each of these shapes in a basis set, a curve relative to the center of the object, and details that I'm not going to have time to take you through.
We consider systems of unitary operators on the complex Hilbert spaceL2(Rn) of the form U≔UDA, Tv1, …, Tvn≔{DmTl1v1…Tlnvn:m,l1, …, ln∈Z}, whereDAis the unitary operator corresponding to dilation by ann×nreal invertible matrixAandTv1, …, Tvnare the unitary operators corresponding to translations by the vectors in a basis {v1, …, vn} for Rn.
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"How didn't I hit it?" Such are the questions the Mets are pondering on an inning-by-inning basis.
Hare's interest in discovering a basis for good political forecasting predates the Good Judgment Project.
The ordinance in question has a basis in Islamic principle.
Centuries-old rumours of extensive gold deposits in Uzbekistan evidently arose from a basis in fact.
Hence, domicile in itself establishes a basis for taxation.
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