addition chain造句
例句与造句
- By definition, every addition chain is also an addition-subtraction chain, but not vice versa.
- Since encryption uses a fixed known exponent an addition chain may be used to optimize the encryption process.
- Scholz's conjecture, if true, would provide short addition chains for numbers of a special form, the Mersenne numbers.
- It's possible to find addition sequence from vectorial addition chains and vice versa, so they are in a sense dual.
- The problem of finding the shortest addition chain cannot be solved by dynamic programming, because it does not satisfy the assumption of optimal substructure.
- It's difficult to find addition chain in a sentence. 用addition chain造句挺难的
- The cost of producing an optimal addition chain can be amortized over the life of the public key, that is, it need only be computed once and cached.
- The first example of where it does better is for " a " 15, where the binary method needs six multiplications but a shortest addition chain requires only five:
- The " length " of an addition chain is the number of sums needed to express all its numbers, which is one less than the cardinality of the sequence of numbers.
- There are also several methods to " approximate " a shortest addition chain, and which often require fewer multiplications than binary exponentiation; binary exponentiation itself is a suboptimal addition-chain algorithm.
- In general, however, the determination of a minimal addition-subtraction chain ( like the problem of determining a minimum addition chain ) is a difficult problem for which no efficient algorithms are currently known.
- That is, it is not sufficient to decompose the power into smaller powers, each of which is computed minimally, since the addition chains for the smaller powers may be related ( to share computations ).
- Therefore, the length of the " shortest " addition-subtraction chain for " n " is bounded above by the length of the shortest addition chain for " n ".
- Here, an addition chain is defined as a sequence of numbers, starting with 1, such that every number after the first can be expressed as a sum of two earlier numbers ( which are allowed to both be equal ).
- Computing the length of the shortest addition chain that contains a given number can be done by dynamic programming for small numbers, but it is not known whether it can be done in polynomial time measured as a function of the length of the binary representation of.
- The smallest " n " for which an addition-subtraction chain is shorter than the minimal addition chain is " n " = 31, which can be computed in only 6 additions ( rather than 7 for the minimal addition chain ):
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