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A Linear PCP is a PCP in which the proof is a vector of elements of a finite field , and such that the PCP oracle is only allowed to do linear operations on the proof. Namely, the response from the oracle to a verifier query q ∈ F n {\displaystyle q\in \mathbb {F} ^{n}} is a linear function f ( q , π ) {\displaystyle f(q,\pi )} .
In July 2017, the Competition and Consumer Protection Commission (CCPC) commenced a study into PCP car finance market. [10] This followed a study by Motorcheck which revealed Ireland's new vehicle market was heavily dependent on PCP agreements. The study found 73,979 new vehicles were sold on finance in Ireland in 2016, a 139% increase from ...
Mortgage calculators are used by consumers to determine monthly repayments, and by mortgage providers to determine the financial suitability of a home loan applicant. [2] Mortgage calculators are frequently on for-profit websites, though the Consumer Financial Protection Bureau has launched its own public mortgage calculator.
The PCP theorem states that NP = PCP[O(log n), O(1)],. where PCP[r(n), q(n)] is the class of problems for which a probabilistically checkable proof of a solution can be given, such that the proof can be checked in polynomial time using r(n) bits of randomness and by reading q(n) bits of the proof, correct proofs are always accepted, and incorrect proofs are rejected with probability at least 1/2.
One of the most important variants of PCP is the bounded Post correspondence problem, which asks if we can find a match using no more than k tiles, including repeated tiles. A brute force search solves the problem in time O(2 k ), but this may be difficult to improve upon, since the problem is NP-complete . [ 7 ]
The PCP reflects changes in prices in major terminal grain markets (of which there are 18 in the United States), corrected for the cost of transporting grain from the county to the terminal. It is utilized under the marketing loan repayment provisions and loan deficiency payment (LDP) provisions of the commodity programs. Rice and cotton use an ...
A Bad Check Diversion Program generally pursues the bad check writer by stating (typically from the local District Attorney's office) that the check writer has committed a criminal act, and is subject to prosecution. The check writer is told that s/he may avoid prosecution by meeting the guidelines of the program, which generally include the ...
EU pet passport. A pet passport is a document that officially records information related to a specific animal, as part of that procedure. The effect is to drastically speed up and simplify travel with and transport of animals between member countries, compared to previous procedures if the regulations are followed. [1]