Moral dread is seen as the other face of desire, and here psychoanalysis delivers to the writer a magnificent irony and a moral problem of great complexity.

The notion of the Kolmogorov complexity can be used to state and prove impossibility results akin to Gödel's incompleteness theorem and Turing's halting problem.

Algorithm analysis is an important part of a broader computational complexity theory, which provides theoretical estimates for the resources needed by any algorithm which solves a given computational problem.

To address this problem, a complexity theory for AI has been proposed.

The formalisation defines algorithm complexity, problem complexity and reducibility which in turn allows equivalence classes to be defined.

In complexity theory, the satisfiability problem ( SAT ) is a decision problem, whose instance is a Boolean expression written using only AND, OR, NOT, variables, and parentheses.

It was introduced in 1971 by Stephen Cook in his seminal paper " The complexity of theorem proving procedures " and is considered by many to be the most important open problem in the field.

A problem is a member of co-NP if and only if its complement is in the complexity class NP.

A key distinction between analysis of algorithms and computational complexity theory is that the former is devoted to analyzing the amount of resources needed by a particular algorithm to solve a problem, whereas the latter asks a more general question about all possible algorithms that could be used to solve the same problem.

In computational complexity theory, a problem refers to the abstract question to be solved.

For this reason, complexity theory addresses computational problems and not particular problem instances.

In computability theory and computational complexity theory, a decision problem is a question in some formal system with a yes-or-no answer, depending on the values of some input parameters.

Currently, one of the most famous open problems in theoretical computer science is the P = NP problem, which involves the relationship between the complexity classes P and NP.

This new proof is similar to Appel and Haken's but more efficient because it reduced the complexity of the problem and required checking only 633 reducible configurations.

A third problem is to minimize the total number of real multiplications and additions, sometimes called the " arithmetic complexity " ( although in this context it is the exact count and not the asymptotic complexity that is being considered ).

The maximum level of complexity and difficulty of the problem that the child is capable to solve under some guidance indicates the level of potential development.

Other evidence that irreducible complexity is not a problem for evolution comes from the field of computer science, where computer analogues of the processes of evolution are routinely used to automatically design complex solutions to problems.

When discussing what complexity classes the integer factorization problem falls into, it's necessary to distinguish two slightly different versions of the problem:

It is not known exactly which complexity classes contain the decision version of the integer factorization problem.

In applying KR systems to practical problems, the complexity of the problem may exceed the resource constraints or the capabilities of the KR system.

As the key size increases, so does the complexity of exhaustive search to the point where it becomes impractable to crack encryption directly.

The lesson is that complexity increases when we restrict our attention to one particular element in an ensemble, thereby losing the symmetry and simplicity that were inherent in the totality of all the elements taken together.

Nevertheless, as complexity and, therefore, order increases in biological systems, the amount of abstraction within that system also increases.

However, creating more data to input to machine-learning systems simply requires a corresponding increase in the number of man-hours worked, generally without significant increases in the complexity of the annotation process.

The term was used to describe the impact of rapid increases in computer power and the complexity of the problems that could be tackled.

* First-pass success – As die sizes shrink ( due to scaling ), and wafer sizes go up ( to lower manufacturing costs ), the number of dies per wafer increases, and the complexity of making suitable photomasks goes up rapidly.

At least, not generally ( some increases in complexity are sometimes necessary ), and so there remains a justified general bias towards the simpler of two competing explanations.

This design increases the specific impulse to about 1000 seconds ( 9. 8 kN · s / kg ), allowing for thrust-to-weight ratios greater than 1: 1, although at the cost of increased complexity.

In some cases, digital circuits use more energy than analog circuits to accomplish the same tasks, thus producing more heat which increases the complexity of the circuits such as the inclusion of heat sinks.

Unlike Viterbi decoding, sequential decoding is not maximum likelihood but its complexity increases only slightly with constraint length, allowing the use of strong, long-constraint-length codes.

* Longer constraint lengths produce more powerful codes, but the complexity of the Viterbi algorithm increases exponentially with constraint lengths, limiting these more powerful codes to deep space missions where the extra performance is easily worth the increased decoder complexity.

It decreases the complexity of network topology, increases routing efficiency, and causes much less congestion because of fewer routing advertisements.

Autotransformers can be engineered to cover a wide range of varying input voltages, but this requires more taps and increases complexity, and expense of the UPS.

However, this increases complexity and the likelihood of priority inversion, as well as suboptimal scheduling without extensive ( and expensive ) coordination between the userland scheduler and the kernel scheduler.

Such bottom-up approaches should, broadly speaking, be able to produce devices in parallel and much cheaper than top-down methods, but could potentially be overwhelmed as the size and complexity of the desired assembly increases.

Moreover, glycans can be modified ( modified sugars ), this increases its complexity.

This gating or locking process increases code complexity, lowers performance, and greatly increases the amount of testing required, although not usually enough to negate the advantages of multiprocessing.

Remember, game complexity increases exponentially with the change in type of chess piece and the increase of board size.

Furthermore, Joseph Tainter, anthropologist, historian and author of the book " The Collapse of Complex Societies ," has pointed out that each new addition of complexity to technology can only be sustained if there is a good enough return to justify the technology, and that over time, increases in complexity have improved productivity at an ever decreasing rate.

To accommodate a large cassette, more space is needed on the drive side of the axle ; this increases the complexity of manufacturing and truing the wheel.

This also increases the capital cost and complexity of a PWR power plant.