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From the results of numerical example, it can be shown that, the significant savings can be achieved through the reductions of order processing cost and lost sales rate.
Hydon in [10] develops a method for finding one-parameter Lie groups of symmetries to achieve successive reductions of order.
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Major evolutionary transitions (from prokaryotes to unicellular eukaryotes, to multicellular eukaryotes, and to land plants and vertebrates) were accompanied by reductions of orders of magnitude in effective population sizes.
Continuous order release has been somehow neglected, in spite of its apparent potential for improving system performance, including the reduction of order flow times.
On the other hand, the mesomorphic order of PA6 segments imposes stretching and constraint on the PBA blocks, which leads to a reduction of order of PBA block when the volume fraction of rod reaches approximately 45%.
Proposition 2 (Reduction of Order Theorem for ( S )).
In contrast to the linear case, a reduction of order formula is not at our disposal.
Simulation results show that feedback reduction of order of 40‐50% can be achieved with negligible decrease in system throughput.
Coupled with the reduction of order technique we will use a generalized monotone method in the presence of lower and upper solutions.
The way to study problem (1.1) is via a reduction of order, that is, we will consider an auxiliary second-order problem and then we will go back to the fourth-order one.
This technique of reduction of order to look for solutions for fourth-order equations has been used for example in [2], where a functional equation for (mathscr {L}=frac {d^{2}}{dx^{2}}) with also functional boundary conditions is considered.
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