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Is the keyword "p" contained in the set of problems that can be solved in polynomial time, known as NP?
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What is the significance of polynomial time in the context of computational complexity theory?
In computational complexity theory, polynomial time is significant because it represents the class of problems that can be solved efficiently by algorithms. Problems that can be solved in polynomial time are considered tractable, meaning they can be solved in a reasonable amount of time as the input size grows. This is important for understanding the efficiency and feasibility of solving various computational problems.
What is the significance of the keyword p/poly in the context of computational complexity theory?
In computational complexity theory, the keyword p/poly signifies a class of problems that can be solved efficiently by a polynomial-size circuit. This is significant because it helps in understanding the relationship between the size of a problem and the resources needed to solve it, providing insights into the complexity of algorithms and their efficiency.
Can integer linear programming be solved in polynomial time?
No, integer linear programming is NP-hard and cannot be solved in polynomial time.
What is the relationship between IP and PSPACE in computational complexity theory?
In computational complexity theory, IP is a complexity class that stands for "Interactive Polynomial time" and PSPACE is a complexity class that stands for "Polynomial Space." The relationship between IP and PSPACE is that IP is contained in PSPACE, meaning that any problem that can be efficiently solved using an interactive proof system can also be efficiently solved using a polynomial amount of space.
What is the definition of NP, and how does it relate to complexity theory?
NP stands for Non-deterministic Polynomial time, which is a complexity class in computer science that represents problems that can be verified quickly but not necessarily solved quickly. In complexity theory, NP is important because it helps classify problems based on their difficulty and understand the resources needed to solve them efficiently.
Can integer linear programming be solved in polynomial time?
No, integer linear programming is NP-hard and cannot be solved in polynomial time.
What will happen if problems are not promptly solved?
Problems that are not promptly solved create more problems.
What does NP equal P mean?
It is still an open question. NP is the class of problems which can be solved in polynomial time by a program run by the theoretical non-deterministic machine. (That is, there is a polynomial upper-bound for the time it would take for the machine to compute the answer, with respect to the size of the input). P is the class of problems which can be solved in polynomial time by a program run by an actual computer (or some abstract model thereof). So far it is not known for sure whether the two classes are the same or not. There are many problems which are known to be NP, and for which no polynomial solution for a real computer is known. However, there is currently no proof that such a solution does not exist (perhaps it does and no one has found it yet). That is why whether P equals NP or not is still an open problem.
What is P in a CS?
In computer science, P typically refers to the complexity class of decision problems that can be solved in polynomial time by a deterministic Turing machine. Problems in this class are considered tractable and efficiently solvable within a reasonable time frame.
How could Commerce problems be solved?
Commerce problems could be solved with trade
What are 2 problems that were solved by the invention or trains?
what are 2 problems that were solved by the invention of trains
How did the Mesopotamia's solve their problems?
they solved their problems by farming
What problems do doctors solved daily?
Mainly health problems.
Why was prohibition bad?
It solved no problems but created enormous problems.
Why problems can be solved using gcf?
Reducing equivalent fractions to their simplest form.
What is a comparison statement for ki solved 3 more math problems than Daniel solved?
K = D + 3 where the letters represent the number of problems solved by Ki and Daniel respectively.
How is the problem solved in the fifth Harry Potter book solved?
That is why there is 7 books. The problems are all solved in the end of the 7th book.
