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The result is robust to controlling for cash-on-hand constraints, spending type, price familiarity and consumption habits of the products.
Thus, assuming the lack of a central coordinating unit, the goal of the users is to reach, in a distributed way, the optimal PA (mathbf {p}^_{k} triangleq [p^_{k,1},cdots,p^_{k,N}]^{mathrm {T}}) and the optimal TM ({boldsymbol {varphi }}_{k}^), (forall k in {mathcal {K}}), which satisfy the QoS constraints spending the minimum transmission power.
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As a matter of fact, since the feasible manifold is of lower dimension than the entire parameter space, methods that do not consider the underlying thermodynamic and non-thermodynamic constraints will spend most time searching the immense infeasible portions of the parameter space.
But over a longer time-span, these constraints argue for spending more: why not train the teachers, as well as paying the fees?
The report openly notes that there will have to be spending constraint, not least to bring down Scotland's deficit.
Many of the formal and informal constraints on spending have been tossed aside by choice or circumstance, including budget rules that set spending limits and the bipartisan agreement not to dip into the Social Security surplus.
Italy, France and Spain have put forward budget proposals that breach previous constraints on spending and tax cuts.
Although it does not solve the basic problem, the deal would impose real constraints on spending.
The reasons are familiar: weak demand, constraints on spending and heightened uncertainty over interest rates and economic conditions.
In his view, imposing legal constraints on spending, through a balanced budget amendment or other means, is unlikely to compel effective action.
The bill reflects constraints on spending imposed by the bipartisan agreement that increased the federal debt ceiling and created the Joint Select Committee on Deficit Reduction.
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CEO of Professional Science Editing for Scientists @ prosciediting.com