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We enforce the constraint that ∑ k = 1 K S i, k = 1.
Next, in order to ensure fairness among the users in terms of throughput and delay [5, 37], we enforce the constraint that each transmit signal is received with the same power in its assigned receiver, namely p i d i, a ( i ) − η = P R , ∀ i ∈ ℒ ℓ, wherein ℒ ℓ is the set of users transmitting on the ℓ-th carrier.
Similar to the rigid-body case where the DLM is introduced as a pseudo body force to enforce the constraint of rigid-body motion of the fictitious fluid in the solid domain, the Lagrange multiplier in our formulation is to enforce the fictitious fluid to move at the same velocity as the solid.
These enforce the constraint that the function is linear beyond boundary knots.
A two-stage weight function similar to the one in Section 2.1.1 can then help enforce the constraint that we want to maximize the number of placed sequences.
Above we used Lagrange multipliers to enforce the constraint on resolution and to bound the scale ratios to avoid ambiguity while minimizing the number of neurons required by a winner-take-all decoding model of grid systems.
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In the implementation for the Modified Total Variation MPLE method and Weighted MPLE method, we must enforce the constraints and to ensure that is a probability density estimate.
We propose a logarithmic barrier penalty which acts to enforce the constraints, leading to an approximate solution to shape design problems.
end{aligned} (46b) In integrating these equations a constrained approach is used, i.e., we enforce the constraints (operatorname{det}tilde{gamma}_{ij}=1) and (operatorname{tr}tilde{A}_{ij}=0) at every step.
Writing the semi-discretized equations as a differential-algebraic equation (DAE) system where the interface continuity constraints between subdomains are enforced by Lagrange multipliers, the method uses the Runge Kutta Chebyshev projection scheme to integrate the DAE explicitly and to enforce the constraints by a projection.
Rules are added to enforce the constraints in equation (24).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com