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Concept of the set up reduction constraints has also been introduced, wherein all the similar dimensions on a single part are manufactured on a single machine, resulting in a single value of design tolerance associated to all such dimensions.
The model is based on the simulation of investment and operation, primary energy supply, and greenhouse gas emission reduction constraints.
Shuxiang WANG (2013) discussed the optimization model and method of comprehensive utilization for generation resources with emission reduction constraints, analyzed from generation side and the demand side, considering the linkage of these two sides [16].
Included is Nanoarchaeum equitans, a hyperthermophilic archaeon with a highly compacted genome of only 490 kb size which harbors a small set of only 26 C/D box sRNA genes under genome reduction constraints.
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This condition is called the reduction constraint.
Assuming I as the original image and R the reduction filter, with a reduction ratio a so that the upscaled image is I1/a, the reduction constraint can be written as: I 1 / a ∗ R ↓a = I. (3).
For a given image and a reduction filter, there is a set of enlarged images, called the induced set, that verifies the reduction constraint, and is defined as: Ω I = { X ∣ [ X ∗ R ] ↓a = I }.
Where R and A are the Cohen Daubechies Fauveau (CDF) 9/7 tap bi-orthogonal filter pair, respectively[28], and J is the upscaled version of the initial image I that does not adhere to the reduction constraint.
Induction, initially developed for image magnification[27], simply consists of projecting an upscaled image J, not adhering to the reduction constraint, onto the induced set Ω so as to obtain an induced image K that belongs to the induced set.
Context reduction simplifies constraints by substituting constraints or removing resolved constraints according to available instance definitions, besides removing duplicate constraints or substituting constraints according to the class hierarchy.
This means that reduction of constraint set (P) under constraint axioms (Theta ) either give constraint set (Q) as a result or fails.
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