# Problem

A problem is an obstacle, impediment, difficulty or challenge, or any situation that invites resolution; the resolution of which is recognized as a solution or contribution toward a known purpose or goal. A problem implies a desired outcome coupled with an apparent deficiency, doubt or inconsistency that prevents the outcome from taking place.

### Other articles related to "problem, problems":

Necklace Problem
... The necklace problem is a problem in recreational mathematics, solved in the early 21st century ...
Hamiltonian Path Problem
... field of graph theory the Hamiltonian path problem and the Hamiltonian cycle problem are problems of determining whether a Hamiltonian path or a Hamiltonian cycle exists in ... Both problems are NP-complete ...
Y2K Problem - Background
... Y2K is a numeronym and was the common abbreviation for the year 2000 software problem ... literal) roll-over of the millennium, even though the problem could have occurred at the end of any ordinary century ... The Year 2000 problem was the subject of the early book, Computers in Crisis by Jerome and Marilyn Murray (Petrocelli, 1984 reissued by McGraw-Hill under the title The Year ...
Divide And Conquer Algorithm
... and conquer algorithm works by recursively breaking down a problem into two or more sub-problems of the same (or related) type, until these become simple enough to be solved directly ... The solutions to the sub-problems are then combined to give a solution to the original problem ... of efficient algorithms for all kinds of problems, such as sorting (e.g ...
Hilbert's Nullstellensatz - Effective Nullstellensatz
... To solve this problem, it suffices to provide an upper bound on the total degree of the such a bound reduces the problem to a finite system of linear equations that may be solved by usual linear ... A related problem is the ideal membership problem, which consists in testing if a polynomial belongs to an ideal ... For this problem also, a solution is provided by a upper bound on the degree of the A general solution of the ideal membership problem provides an effective Nullstellensatz, at least for the ...

### Famous quotes containing the word problem:

The problem of induction is not a problem of demonstration but a problem of defining the difference between valid and invalid
predictions.
Nelson Goodman (1906)

Any solution to a problem changes the problem.
—R.W. (Richard William)

One thing in any case is certain: man is neither the oldest nor the most constant problem that has been posed for human knowledge.
Michel Foucault (1926–1984)