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The complexity class PCP c(n), s(n) [r(n), q(n)] is the class of all decision problems having probabilistically checkable proof systems over binary alphabet of completeness c(n) and soundness s(n), where the verifier is nonadaptive, runs in polynomial time, and it has randomness complexity r(n) and query complexity q(n).
An amortization calculator is used to determine the periodic payment amount due on a loan (typically a mortgage), based on the amortization process. [ 1 ] The amortization repayment model factors varying amounts of both interest and principal into every installment, though the total amount of each payment is the same.
A PCP may include the element of maintenance during the duration of the contract though this is in the minority of cases. In the UK, the majority of PCP deals include the payment of the first year's Vehicle Excise Duty, [3] but subsequent renewals will be at the customer's expense.
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 ]
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.
WAL should not be confused with the following distinct concepts: Bond duration Bond duration is the weighted-average time to receive the discounted present values of all the cash flows (including both principal and interest), while WAL is the weighted-average time to receive simply the principal payments (not including interest, and not discounting).
In a real time simulation, the time required to solve the internal state equations and functions representing the system must be less than the fixed step. If calculation time exceeds the time of the fixed step, an over run is said to have occurred and the simulation now lags behind the actual time. In simple words, real-time simulation must ...
Define the "reverse time" variable z = T − t.(t = 0, z = T and t = T, z = 0).Then: Plotted on a time axis normalized to system time constant (τ = 1/r years and τ = RC seconds respectively) the mortgage balance function in a CRM (green) is a mirror image of the step response curve for an RC circuit (blue).The vertical axis is normalized to system asymptote i.e. perpetuity value M a /r for ...