With no explanation, label text_A→text_B with either "not_related" or "related".
text_A: A loss of supply can require a prime minister to resign immediately.
text_B: In mathematics , projections onto convex sets -LRB- POCS -RRB- , sometimes known as the alternating projection method , is a method to find a point in the intersection of two closed convex sets .. closed. closed set. convex. convex set. projection. Projection ( linear algebra )#Orthogonal projections. It is a very simple algorithm and has been rediscovered many times .. The simplest case , when the sets are affine spaces , was analyzed by John von Neumann .. affine spaces. affine spaces. John von Neumann. John von Neumann. The case when the sets are affine spaces is special , since the iterates not only converge to a point in the intersection -LRB- assuming the intersection is non-empty -RRB- but to the orthogonal projection of the point onto the intersection .. affine spaces. affine spaces. projection. Projection ( linear algebra )#Orthogonal projections. For general closed convex sets , the limit point need not be the projection .. closed. closed set. convex. convex set. projection. Projection ( linear algebra )#Orthogonal projections. Classical work on the case of two closed convex sets shows that the rate of convergence of the iterates is linear .. closed. closed set. convex. convex set. rate of convergence. rate of convergence. There are now extensions that consider cases when there are more than one set , or when the sets are not convex , or that give faster convergence rates .. convex. convex set. Analysis of POCS and related methods attempt to show that the algorithm converges -LRB- and if so , find the rate of convergence -RRB- , and whether it converges to the projection of the original point .. rate of convergence. rate of convergence. projection. Projection ( linear algebra )#Orthogonal projections. These questions are largely known for simple cases , but a topic of active research for the extensions .. There are also variants of the algorithm , such as Dykstra 's projection algorithm .. projection. Projection ( linear algebra )#Orthogonal projections. See the references in the further reading section for an overview of the variants , extensions and applications of the POCS method ; a good historical background can be found in section III of .. further reading. #Further reading
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