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The space of all candidate solutions, before any feasible points have been excluded, is called the feasible region, feasible set, search space, or solution space. [2] This is the set of all possible solutions that satisfy the problem's constraints. Constraint satisfaction is the process of finding a point in the feasible set.
For example, the system triethylamine-water has an LCST of 19 °C, so that these two substances are miscible in all proportions below 19 °C but not at higher temperatures. [1] [2] The nicotine-water system has an LCST of 61 °C, and also a UCST of 210 °C at pressures high enough for liquid water to exist at that temperature. The components ...
Valaciclovir, also spelled valacyclovir, is an antiviral medication used to treat outbreaks of herpes simplex or herpes zoster (shingles). [2] It is also used to prevent cytomegalovirus following a kidney transplant in high risk cases. [2]
The system = has at least one solution (otherwise the whole LP has no solution and there is nothing more to do); All m rows of the matrix A {\displaystyle A} are linearly independent, i.e., its rank is m (otherwise we can just delete redundant rows without changing the LP).
When M < N the system is underdetermined and there are always an infinitude of further solutions. In fact the dimension of the space of solutions is always at least N − M. For M ≥ N, there may be no solution other than all values being 0. There will be an infinitude of other solutions only when the system of equations has enough ...
When orally administered, peak plasma concentration occurs after 1–2 hours. According to the Biopharmaceutical Classification System, aciclovir is a Class III drug, i.e., soluble with low intestinal permeability. [48] Aciclovir has a high distribution rate; protein binding is reported to range from 9 to 33%. [49]
One of the basic principles of algebra is that one can multiply both sides of an equation by the same expression without changing the equation's solutions. However, strictly speaking, this is not true, in that multiplication by certain expressions may introduce new solutions that were not present before. For example, consider the following ...
If, on the other hand, the ranks of these two matrices are equal, the system must have at least one solution; since in an underdetermined system this rank is necessarily less than the number of unknowns, there are indeed an infinitude of solutions, with the general solution having k free parameters where k is the difference between the number ...