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What is polynomial algorithm in data structure?
A polynomial object is a homogeneous ordered list of pairs ,coefficient>, where each coefficient is unique. Operations include returning the degree, extracting the coefficient for a given exponent, addition, multiplication, evaluation for a given input.
What is polynomial space algorithm?
polynomial space A way of characterizing the complexity of an algorithm. If the space complexity (see complexity measure) is polynomially bounded, the algorithm is said to be executable in polynomial space.
Is 3 n a polynomial?
and 3 * polymonial(n) is also a polynomial.
Is N 3 a polynomial?
Other algorithms may be O(n) or O(n3 ) etc., all of which are polynomial. Alternatively, an algorithm may run in constant time, i.e. the time is the same no matter how much input data there is.
Is P equal to PSPACE?
PSPACE can be characterized as the quantum complexity class QIP. PSPACE is also equal to PCTC, problems solvable by classical computers using closed timelike curves, as well as to BQPCTC, problems solvable by quantum computers using closed timelike curves.
How many stages of procedure does a non-deterministic algorithm consist of?
49. How many stages of procedure does a non-deterministic algorithm consist of? Explanation: A non-deterministic algorithm is a two-stage procedure- guessing stage and verification stage.
Is 2 n a polynomial?
The polynomial is f(n) = n^2. On the other hand, O(2^n) is exponential time, where the exponential function implied is f(n) = 2^n. The difference is whether the function of n places n in the base of an exponentiation, or in the exponent itself.
Is the difference of two polynomials always a polynomial?
The difference of two polynomials will always be a polynomial because subtracting like terms of the form results in more terms of the form . The student may show that for any two terms and (where a and b are real numbers and n is a whole number), .
What is P problem?
P-Problem. A problem is assigned to the P ( polynomial time) class if there exists at least one algorithm to solve that problem, such that the number of steps of the algorithm is bounded by a polynomial in , where is the length of the input.
What is exponential algorithm?
In computer science, an exponential search is an algorithm, created by Jon Bentley and Andrew Chi-Chih Yao in 1976, for searching sorted, unbounded/infinite lists. There are numerous ways to implement this with the most common being to determine a range that the search key resides in and performing a binary search within that range. This takes O where i is the position of the search key in the list, if the search key is in the list, or the position where the search key should be, if the search k
What is polynomial time problem?
In contrast, P (polynomial time) is the set of all decision problems which can be solved in polynomial time by a Turing machine. Roughly speaking, if a problem is in P, then it’s considered tractable, i.e. there exists an algorithm that can solve it in a reasonable amount of time on a computer.