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what is an intractable problem

by Alison Terry IV Published 2 years ago Updated 2 years ago
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In mathematics, a problem is called intractable if there is no efficient algorithm that solves it. It’s the same in communications. The intractable problem is one that can’t be tackled head on, one that won’t go away with a simple solution.

From a computational complexity stance, intractable problems are problems for which there exist no efficient algorithms to solve them. Most intractable problems have an algorithm – the same algorithm – that provides a solution, and that algorithm is the brute-force search.

Full Answer

What are intractable problems in Computer Science?

From a computational complexity stance, intractable problems are problems for which there exist no efficient algorithms to solve them. Most intractable problems have an algorithm – the same algorithm – that provides a solution, and that algorithm is the brute-force search. What are tractable and intractable problems?

What is the meaning of intractable?

Definition of intractable 1 : not easily governed, managed, or directed intractable problems 2 : not easily relieved or cured intractable pain 3 : not easily manipulated or shaped intractable metal

What is the difference between tractable and intractable problems?

Tractable problems are problems that can be solved, while the intractable problems are problems that cannot be solved. Tractable problems are easier to solve than intractable problems. Tractable problems can be solved in a short amount of time, while intractable problems can take a long time to solve.

What is the difference between intractable and unsolvable problems?

intractable problems are solvable but any algorithmic solution runs in exponential time (or slower) in the worst case. Practically unsolvable except for small inputs, unless average case much better than the worst. NP..the class of problems which can be solved in p-time by a non- deterministic algorithm. What is p class in DAA? P-Class.

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What are examples of intractable problems?

10.3 Examples of some Intractable Problems10.3.1 Traveling Salesman Problem.10.3.2 Subset Sum.10.3.3 Knapsack Problem.10.3.4 Bin Packing.10.3.5 Job Shop Scheduling.10.3.6 Satisfiability.

What are tractable and intractable problems?

Tractable Problem: a problem that is solvable by a polynomial-time algorithm. The upper bound is polynomial. Intractable Problem: a problem that cannot be solved by a polynomial-time al- gorithm. The lower bound is exponential.

How would a programmer solve an intractable problem?

Another way that is often used to find solutions to intractable problems is to ignore some of the constraints to find a solution that acts as a compromise. It will not be the optimal solution, but will be usable, and be able to be found in a reasonable amount of time.

Which time complexities are intractable problems?

Problems that have a reasonable (polynomial) time solutions are called tractable. Problems that have no reasonable (exponential/factorial) time solutions are called intractable.

What is not intractable mean?

: not easily governed, managed, or directed. intractable problems. : not easily relieved or cured.

What is the difference between tractable and intractable conflict?

The difference between tractable and intractable problems with example is that while a tractable conflict may last for days, weeks, or months, an intractable conflict can last for years, decades, or even centuries in some instances.

Is halting problem intractable?

halting problem are both NP-hard. intractable. algorithms are the only option. problem are equally hard.

Is SAT problem intractable?

SAT (Boolean satisfiability) is the type of intractable problem par excellence, with numerous industrial applications (circuit verification, planning, logistics, artificial intelligence, ...).

What is the difference between an undecidable problem and an intractable problem?

Undecidable problems are those for which no computer solution can ever exist, while intractable problems are those for which there is strong evidence that, although they can be solved by a computer, they cannot be solved sufficiently fast that the solution is truly useful in practice.

Are NP problems intractable?

NP completeness is about worst case intractability. Depending on which problem you are working on, many classes of instances might be solvable in a reasonable time in practice (although you might need a more specialized algorithm to get the good runtimes).

Are all NP-complete problems intractable?

Problems are intractable when they "can be solved, but not fast enough for the solution to be usable."13 NP-complete problems are commonly said to be intractable; however, the reality is more complex.

What are the three types of time complexity?

Various Time Complexities Constant Time Complexity - O(1) Logarithmic Time Complexity - O(log n) Linear Time Complexity - O(n)

What is tractable decision problem?

So-called easy, or tractable, problems can be solved by computer algorithms that run in polynomial time; i.e., for a problem of size n, the time or number of steps needed to find the solution is a polynomial function of n.

What's the major difference between tractability and intractability problems?

We'll define what we mean by tractable later on, but put very crudely, a tractable problem is one which we can write programs for that finish in a reasonable amount of time, and an intractable problem is one that will generally end up taking way too long.

What is the tractable problem in computer science?

Tractable problem, in computational complexity theory, a problem that can be solved in polynomial time. Tractable, ease of obtaining a mathematical solution such as a closed-form expression.

What is meant by tractable?

tractable \TRAK-tuh-bul\ adjective. 1 : capable of being easily led, taught, or controlled : docile. 2 : easily handled, managed, or wrought : malleable.

Learn about this topic in these articles

Algorithms for solving hard, or intractable, problems, on the other hand, require times that are exponential functions of the problem size n. Polynomial-time algorithms are considered to be efficient, while exponential-time algorithms are considered inefficient, because the execution times of the latter grow much more rapidly as the problem size…

computational complexity

Algorithms for solving hard, or intractable, problems, on the other hand, require times that are exponential functions of the problem size n. Polynomial-time algorithms are considered to be efficient, while exponential-time algorithms are considered inefficient, because the execution times of the latter grow much more rapidly as the problem size…

Choose the Right Synonym for intractable

unruly, ungovernable, intractable, refractory, recalcitrant, willful, headstrong mean not submissive to government or control. unruly implies lack of discipline or incapacity for discipline and often connotes waywardness or turbulence of behavior.

Examples of intractable in a Sentence

Contrary to the idea of black holes sucking everything, even light, into inconceivable nothingness, Hawking proposed that there was one thing that could escape a black hole's intractable grip: thermal radiation … — Bruno Maddox, Discover, September 2006 Sepsis, which is what happens to the body when an infection goes bad, is one of mankind's oldest and most intractable foes.

What is Intractability?

For our discussion, a problem is considered to be intractable if it is very difficult to solve completely. This is quite a nuanced statement:

Why is intent detection important?

Functioning as the last line of defense, intent detection will help us tackle the currently intractable problem of protecting us from our biggest threat: each other.

What is TSP in navigation?

The TSP is in the set of problems that attempt to determine the most efficient route to take when visiting a given set of destinations. Note that this is not the same thing as the shortest path problem solved by navigation systems to provide you a route from point A to B – what differentiates them is whether you specify a set of locations to pass through on the way.

What is factorization in math?

Factorization is also a deceptively simple task – if I give you a number, you tell me what other numbers, when multiplied together, will equal the original number. For instance, a factorization of the number 10 would be the numbers 2 and 5, because 2 times 5 equals 10. The numbers 2 and 5 are the factors. Integer factorization requires that the factors don’t have decimals (e.g., 2.5) and a special class of factorization, called prime factorization, requires that the factors are prime numbers. 2 and 5 are the prime factorization of 10.

How do humans leak information?

Humans leak information through their pores and by the breath they exhale. An intent detection system could be made even more effective by learning to detect the biometric signatures of, for instance, an adrenal reaction. A crude version of this ability already exists in the trace-detection machines used at airports now to detect explosive residue.

Why is being a single point of failure important?

In addition, being a single point of failure enables us to know the target of attack. Instead of focusing on creative ways to do us harm that elude detection, potential harm doers are now forced to focus on creative ways to bypass the intent detector. If you remember back to the discussion on computer security, it was not knowing the target that created an untenable, asymmetrical allocation of resources.

How does Ekman detect deception?

Similar to lie detection, Dr. Paul Ekman’s research, and others like it, attempts to detect deception by reading what are known as micro expressions – quick, involuntary displays of emotion. Although his work and materials focus on training humans to do this, artificial neural networks are well suited to the automation of such detection, in addition to being indefatigable and free of cultural or personal bias.

How long does it take for depression to heal?

So the patients don’t get better, unless they recover spontaneously. Given that depressions usually improve on their own within eight months, if the patient survives, nature herself is a powerful healer. But until that happens, the depression is considered “treatment non-responsive,” or intractable, meaning that the patients don’t respond to Prozac and its cousins.

Why is there an anti-ECT movement?

Seriously? Let's blame Scientology, Hollywood, for ECT's "bad reputation"?? WHY is there an "anti-ECT" movement? Because of the thousands and thousands and thousands of people brain damaged by ECT, their memories destroyed, with cognitive impairment and TRAUMA caused by the damage caused by this barbaric lunatic assault.

What does the clinician write on his prescription pad?

The clinician sighs and writes “Prozac” on his prescription pad.

Why do people get depressed?

People are depressed for a variety of reasons, including predisposition to melancholy, family history, personal experiences, anxiety, life traumas and hurts, emotional sensitivity, introversion/extroversion, differences in how individuals are affected by problems, etc.

When was ECT introduced?

This has actually been known for decades, ever since ECT was introduced in 1938, but each subsequent generation of clinicians tends to forget it -- in the face of the anti-ECT movement, helmed by the Church of Scientology; in the face of a pharmaceutical industry that fears the competition of convulsive therapy; and in the face of an entire urban culture overly influenced by Hollywood and underinfluenced by science.

Does Bitemporal ECT help with depression?

Applying bitemporal ECT (electrodes on both temples) to thirty adult patients with “major depressive disorder,” they learned that there was no memory loss after ECT (compared with baseline) and that there was an improvement in memory that coincided with the lifting of the depression itself. They concluded, “Our results on learning and memory in relation to ECT during treatment of depression did not bring forth any prolonged and significant bi-temporal ECT-related memory deficit.”

Does ECT wipe out memories?

Now, it has long been known that ECT doesn’t wipe out all one’s memories. Study after study has demonstrated this. But the March 2016 issue of the distinguished British journal, Psychological Medicine reports ECT research by a group of academic psychiatrists in Belgrade; it constitutes a powerful scientific reminder that ECT does not have major memory effects.

What is an intractable conflict?

Intractable conflicts are conflicts that are destructive, deep-rooted, complex, and lasting. These conflicts are the ones that stubbornly evade resolution, even when the best dispute resolution tactics are used. The term “intractable conflicts” is the product of Beyond Intractability, an organization providing support to people working ...

What is the final characteristic of intractable conflicts?

Resistance: The final characteristic of intractable conflicts is the resistance to conflict management that these conflicts have. These conflicts will not resolve through traditional means and require a new approach.

How long do intractable conflicts last?

Duration: Intractable conflicts do not last for days, weeks, or even months. These conflicts often take place over a long period, usually years.

What is high stakes distribution?

High-Stakes Distribution: Distributions in negotiations or mediations are deals and negotiations that involve a controlled pot of money, land, water, or other important items that must be distributed among the parties. Every bit that someone wins, another party loses. When the parties must split a seemingly impossible item, they may end up in an intractable conflict.

What is the relationship between the parties when a conflict is intractable?

Hostility:Often, when a conflict is intractable, the relationship between the parties is at a place where the parties are hostile toward one another and see each other as evil or the opposition. This is usually where the violence will stem from.   These conflicts are particularly destructive for the parties.

Is conflict hopeless?

No conflict is hopeless. Occasionally, even the most stubborn conflicts will end up being resolved. In discounting conflicts, we lose the ability to transform conflicts from violence into peace or tentative good faith.

Do you need a resolution to resolve a dispute?

The resolution does not need to be a resolution. In dispute resolution, it is often only considered a resolution if it fully resolves the dispute between the parties.   However, a full resolution may not always be possible, especially in situations with intractable conflict.

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