:There is no generally consistent way to perform " rank aggregation " ( see Arrow's impossibility theorem ), but folks do use heuristic methods that work well enough for their purposes.
32.
Initially heuristic methods were developed by Irwin and Von Cube ( as quoted in Florian et al . ( 1975 ) ) and others, and later formal mathematical programming techniques were established by Evans ( 1976 ).
33.
Note that a disadvantage of heuristic methods is that if they fail to find a solution, it cannot be determined whether it is because there is no feasible solution or whether the algorithm simply was unable to find one.
34.
Because of all these factors, optimization rarely produces " optimal " output in any sense, and in fact an " optimization " may impede performance in some cases; rather, they are heuristic methods for improving resource usage in typical programs.
35.
:" The experimental and heuristic method, which can be summed up in the formula : " instill in the student the habit of thinking for himself ", constitutes, according to modern psychology, the basis for all teaching, particularly teaching science.
36.
Heuristic methods of phase lumping of complex systems were validated, important results in queuing theory and reliability theory were obtained, and a series of limit theorems for semi-Markov processes were proved by V . S . Korolyuk, academician of the NAS of Ukraine.
37.
This improvement, and a heuristic method of implementing it commonly used by PNG-writing software, were created by Lee Daniel Crocker, who tested the methods on many images during the creation of the format; the choice of filter is a component of file size optimization, as discussed below.
38.
For applications of DFS in relation to specific domains, such as searching for solutions in artificial intelligence or web-crawling, the graph to be traversed is often either too large to visit in its entirety or infinite ( DFS may suffer from heuristic methods for choosing a likely-looking branch.
39.
Although many practical instances of SAT can be solved by heuristic methods, the question of whether there is a deterministic polynomial-time algorithm for SAT ( and consequently all other NP-complete problems ) is still a famous unsolved problem, despite decades of intense effort by complexity theorists, mathematical logicians, and others.
40.
: Creative pedagogy that includes educational influence on the learner for acquisition of certain study material ( subject ) [ as pedagogy in general ] and differing from the above by the fact that in order to achieve higher efficiency of learning, the pedagogical influence is provided on the background of centrifugal above-the-criticism mutual activity in which the learner is raised from the object of [ pedagogical ] influence to the rank of a creative person, while the traditional ( basic ) study material is transformed from the subject to learn into the means of achieving some creative goal, and the extra study material includes the description and demonstration of the heuristic methods and techniques .
