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Yes, the problem is polynomially reducible to another problem if it can be transformed into that problem with a polynomial-time algorithm.

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Q: Is the problem polynomially reducible to another problem?
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How can one demonstrate that a problem is in the complexity class P?

One can demonstrate that a problem is in the complexity class P by showing that it can be solved in polynomial time by a deterministic Turing machine. This means that the problem's solution can be found in a reasonable amount of time that grows at most polynomially with the size of the input.


Is there a formal proof that demonstrates the complexity of solving the knapsack problem as NP-complete?

Yes, there is a formal proof that demonstrates the complexity of solving the knapsack problem as NP-complete. This proof involves reducing another known NP-complete problem, such as the subset sum problem, to the knapsack problem in polynomial time. This reduction shows that if a polynomial-time algorithm exists for solving the knapsack problem, then it can be used to solve all NP problems efficiently, implying that the knapsack problem is NP-complete.


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What is redex and how does it relate to the evaluation of expressions in programming languages?

Redex is a term used in programming languages to refer to reducible expressions. In the evaluation of expressions, redexes are the parts of an expression that can be simplified or reduced to a simpler form. By identifying and reducing redexes, programming languages can evaluate expressions and compute results.


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Related questions

When a hernia can be returned to the abdominal cavity it is said to be what?

Reducible The hernia is said to be 'reducible' if it can be returned to the abdominal cavity and 'incarcerated' when it cannot be returned to the abdominal cavity.


How can one demonstrate that a problem is in the complexity class P?

One can demonstrate that a problem is in the complexity class P by showing that it can be solved in polynomial time by a deterministic Turing machine. This means that the problem's solution can be found in a reasonable amount of time that grows at most polynomially with the size of the input.


What is reducible interest?

Reducible interest is interest calculated as a percentage of the amount that remains owing on a loan.


What is a sentence using reducible?

Fermented forms of alcohol are reducible into more potent brews by the process of distillation.


Is 43 out of 50 reducible?

no it is not reduceable


What are polynomials that have factors called?

Reducible polynomials.


When a hernia can be returned to the abdominal cavity it is said to be?

reducible


What is the difference between flat rate and reducible interest?

Reducible interest means that one only pays interest on the balance of money owing at the end of the month. Flat rate means that interest is calculated on the original load. Reducible interest rate is approx. equal to twice the flat interest rate.


What is the significance of reducible representation in the field of chemistry?

In chemistry, reducible representation is important because it helps simplify complex molecular symmetry calculations. By breaking down the symmetry of a molecule into smaller, more manageable parts, reducible representation allows chemists to predict and analyze the behavior of molecules more effectively.


A polynomial that can be factored is called?

It is still called a polynomial.


How can one calculate the reducible representation in a molecular symmetry analysis?

To calculate the reducible representation in a molecular symmetry analysis, one can use group theory. This involves determining the symmetry operations of the molecule and applying them to the basis functions to generate a character table. The reducible representation is then obtained by multiplying the character table by the basis functions.


What is a non reducible fraction called?

It is in its simplest form or lowest terms.