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

... The necklace

**Problem**... The necklace

**problem**is a**problem**in recreational mathematics, solved in the early 21st century ...Hamiltonian Path

... field of graph theory the 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

... Y2K is a numeronym and was the common abbreviation for the year 2000 software

**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

... 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

... 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)