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":
... A divide 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 ...
... The necklace problem is a problem in recreational mathematics, solved in the early 21st century ...
... 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 a given graph (whether ... Both problems are NP-complete ...
... Y2K is a numeronym and was the common abbreviation for the year 2000 software problem ... (rather than 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 2000 Computing ...
... 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 algebra ... 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 weak form ...
Famous quotes containing the word problem:
“From cradle to grave this problem of running order through chaos, direction through space, discipline through freedom, unity through multiplicity, has always been, and must always be, the task of education, as it is the moral of religion, philosophy, science, art, politics and economy; but a boy’s will is his life, and he dies when it is broken, as the colt dies in harness, taking a new nature in becoming tame.”
—Henry Brooks Adams (1838–1918)
“It is commonplace that a problem stated is well on its way to solution, for statement of the nature of a problem signifies that the underlying quality is being transformed into determinate distinctions of terms and relations or has become an object of articulate thought.”
—John Dewey (1859–1952)
“Theology, I am persuaded, derives its initial impulse from a religious wavering; for there is quite as much, or more, that is mysterious and calculated to awaken scientific curiosity in the intercourse with God, and it [is] a problem quite analogous to that of theology.”
—Charles Sanders Peirce (1839–1914)