• WordNet 3.6
    • n problem a source of difficulty "one trouble after another delayed the job","what's the problem?"
    • n problem a question raised for consideration or solution "our homework consisted of ten problems to solve"
    • n problem a state of difficulty that needs to be resolved "she and her husband are having problems","it is always a job to contact him","urban problems such as traffic congestion and smog"
    • ***

Additional illustrations & photos:


Webster's Revised Unabridged Dictionary
  • Interesting fact: Women are four times more likely to have foot problems than men
    • Problem A question proposed for solution; a matter stated for examination or proof; hence, a matter difficult of solution or settlement; a doubtful case; a question involving doubt.
    • Problem (Math) Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity.
    • ***
Century Dictionary and Cyclopedia
  • Interesting fact: Approximately 40% of the states in the U.S. have severe, or extreme pollution problems
    • n problem A question proposed for decision or discussion; a matter for examination; any question involving doubt, uncertainty, or difficulty; also, a question with a discussion of it.
    • n problem Specifically In geometry, a proposition requiring some operation to be performed or construction to be executed, as to bisect a line, and the like. It differs from a theorem in that the latter requires something to be proved, a relation or identity to be shown or established. The Greek word is used in this sense by Pappus, in the third century after Christ.
    • n problem In English universities, a public disputation.
    • ***
Chambers's Twentieth Century Dictionary
  • Interesting fact: Balneology is the science of swimming pools. Balneologists study problems of heating, cleaning, maintenance, and construction.
    • n Problem prob′lem a matter difficult of settlement or solution:
    • n Problem prob′lem (geom.) a proposition in which something is required to be done
    • ***


  • H. L. Hollingworth
    H. L. Hollingworth
    “Happiness requires problems”
  • Dorothea Brande
    Dorothea Brande
    “The only difference between a problem and a solution is that people understand the solution.”
  • Duke Ellington
    Duke Ellington
    “A problem is your chance to do your best.”
  • R. W. Johnson
    R. W. Johnson
    “Any solution to a problem changes the problem.”
  • Grenville Kleiser
    Grenville Kleiser
    “To every problem there is already a solution whether you know it or not.”
  • Eric Sevareid
    Eric Sevareid
    “The chief cause of problems is solutions.”


A problem shared is a problem halved - If you talk about your problems, it will make you feel better.
Problem is thirty - If a problem is 30, the problem is the person who sits 30 cm from the computer screen. It is used to describe people that lack technical knowledge and can be used when you insult someone who's having computer problems.
Teething problems - (UK) The problems that a project has when it is starting are the teething problems.


Webster's Revised Unabridged Dictionary
F. problème, L. problema, fr. Gr. anything thrown forward, a question proposed for solution, fr. to throw or lay before; before, forward + to throw. Cf. Parable.
Chambers's Twentieth Century Dictionary
Fr.,—L.,—Gr. problēmapro, before, ballein, to throw.


In literature:

For purposes of reference, this problem may conveniently be termed a basic problem.
"Sound Military Decision" by U.s. Naval War College
The problem of the making of an air force.
"The War in the Air; Vol. 1" by Walter Raleigh
Problems lying beyond the range of the solar system were almost unheeded, because they seemed inscrutable.
"A Popular History of Astronomy During the Nineteenth Century" by Agnes M. (Agnes Mary) Clerke
Your last letter settled a problem which has been troubling me for years.
"The Cryptogram" by James De Mille
Why are the problems of the person, problems of the group as well?
"Introduction to the Science of Sociology" by Robert E. Park
D'Alembert, Clairaut, and others attacked the problem, but were led to just the same result.
"Pioneers of Science" by Oliver Lodge
There are many such problems undoubtedly of the highest importance.
"Social Rights and Duties, Volume I (of 2)" by Sir Leslie Stephen
When has the problem of credit become a world problem?
"The Next Step" by Scott Nearing
It's a national problem now, instead of a sectional problem.
"Negro Migration during the War" by Emmett J. Scott
The problems of both have been too long neglected.
"Rural Life and the Rural School" by Joseph Kennedy
They are all vitally necessary for a thorough understanding of life's problems.
"College Teaching" by Paul Klapper
Unhappily one factor in the problem had been ignored.
"Aircraft and Submarines" by Willis J. Abbot
The problem presented by this experience is really twofold.
"Landmarks in the History of Early Christianity" by Kirsopp Lake
This wider problem is known as the cosmic problem.
"Monophysitism Past and Present" by A. A. Luce
The problem is now a problem of economy.
"The Evolution of the Country Community" by Warren H. Wilson
For Morty was her problem.
"In the Heart of a Fool" by William Allen White
So that as you work, you follow him in the working out of his problem, and make it your problem also.
"The Painter in Oil" by Daniel Burleigh Parkhurst
The problem of religious insight is the problem whether that light is a mirage.
"The Sources Of Religious Insight" by Josiah Royce
It did not take Michael long to arrange his clothes; and then the problem of undoing the packing-cases presented itself.
"Sinister Street, vol. 2" by Compton Mackenzie
Here the industrial problem widens out into the social problem.
"Races and Immigrants in America" by John R. Commons

In poetry:

Problems worthy
of attack
prove their worth
by hitting back.
"Problems" by Piet Hein
But stay,—I should wonder, can thoughts run away
From one who never had any?
This problem I leave you to solve as you may,
Your "Album" will solve it to many.
"Forget Thee" by Benjamin Cutler Clark
Did Omar fail to catch the world-wide light,
And failing, could not read the problem right,
But left us, groping for the single path
That leads us from the shadows of the night?
"Omar Khayyam" by Alexander Anderson
For him no fingering of the love-strung lyre,
No problem vague, by torturing schoolmen vexed;
He fed no broken altar's dying fire,
Nor skulked and scowled behind a Rabbi's text.
"Humboldt’s Birthday" by Oliver Wendell Holmes
Pale ghosts of Bowdoin, Winthrop, Willard, West,
Sages of busy brain and wrinkled brow,
Searchers of Nature's secrets unconfessed,
Asking of all things Whence and Why and How--
What problems meet your larger vision now?
"American Academy Centennial Celebration" by Oliver Wendell Holmes
Me problem's this: The noos 'as to be broke
Concernin' Rose. Doreen 'as to he told.
The 'ow an' when that bit uv noos is spoke
I've learnt uv old.
I'm shrood. I wait. I watch me chance to act.
The trick's to know the time an' place exact.
"The Also-Ran" by C J Dennis

In news:

Report a Web site problem Contact information for Web site questions and problems.
Their downfall in the global spotlight unearthed much more than operations problems — it revealed fundamental communications problems.
We consider the problem of computing general policies for decision-theoretic planning problems with temporally extended rewards.
There is a problem with reviewing guitar amplifiers, and that problem is this: Your mileage may vary.
Problems with extended release fillers may be indicative of a larger problem.
What's the problem with the Potomac River -- and could whatever it is spell problems for those of us who drink its water.
Troubleshoot problems, recommend and implement solutions to problems and emergencies.
LPU has been aware of the problem since July, according to the council, yet has done nothing to correct the problem.
The Manpower Allocation Problem with Time Windows, Job-Teaming Constraints and a limited number of teams (m-MAPTWTC) is a crew scheduling problem faced in several different contexts in the industry.
It's not a very big problem at the moment, but each step that is taken along the road to monetization is a step closer to the problem, and away from the source.
The Cowboys have rat problems and snitch problems and probably even a talent problem, but they do not have a race problem.
Is Italy's Problem Our Problem .
It's about problem solving on a day-to-day basis and it's about problem solving strategically.
Founded by Dr E Paul Torrance, FPSPI seeks to engage students through creative and critical problem solving of real-world problems.
Offering a balanced approach to problem-solving issues in a complex and changing world, this book focuses specifically on the subject of problem solving in policing.

In science:

VC is used as a prototype optimization problem, but the approach can be generalized to other combinatorial problems defined over random structures, e.g. to graph coloring or satisfiability problems.
Dynamics of heuristic optimization algorithms on random graphs
Finally, it is interesting to note the close connection between the present trapping problem and the study of systems of vicious walkers which exhibit some analytic similarities (the one trap problem is the two vicious walker problem).
Trapping of a random walk by diffusing traps
These problems include the problem of initial layer , , as well as the problem of construction of the film of non-equilibrium states discussed in this paper.
Geometry of irreversibility: The film of nonequilibrium states
Before addressing this problem, let us first solve this problem for the toy model P n 3 since it contains most of the tools used for the problem in question.
Moduli spaces of convex projective structures on surfaces
Since many physical problems can be formulated in terms of path integrals, we can map the problem of a Gaussian polymer in a random media to a wide variety of seemingly unrelated problems.
Localization of Polymers in Random Media: Analogy with Quantum Particles in Disorder
The hidden subgroup problem (HSP) provides a unified framewo rk to study problems of grouptheoretical nature in quantum computing such as order findin g and the discrete logarithm problem.
On the Power of Random Bases in Fourier Sampling: Hidden Subgroup Problem in the Heisenberg Group
Such extreme value problems have appeared recently in a variety of problems ranging from disordered systems [44, 54, 70] to certain computer science problems such as growing search trees [162].
Functionals of the Brownian motion, localization and metric graphs
All this means that although the exterior problem for a given interior is an overdetermined problem, the problem is still not unique.
On global models for isolated rotating axisymmetric charged bodies; uniqueness of the exterior field
Now we are ready to obtain the constants c in Problem I and c′ in Problem II and show that indeed they are same, as they both emerge from the properties of the function φ(s, λ) that is common to both the problems.
Unified Solution of the Expected Maximum of a Random Walk and the Discrete Flux to a Spherical Trap
This later problem with diverging second moment corresponds to discrete-time L´evy flights and at least for the expected maximum problem (Problem I), exact results using similar techniques have recently been obtained .
Unified Solution of the Expected Maximum of a Random Walk and the Discrete Flux to a Spherical Trap
Since, as we mentioned in Section 2, our problem is equivalent to a certain random 2-SAT problem, we are looking for the translation of this condition to our problem.
Colouring complete bipartite graphs from random lists
This problem is analogous to the problem discussed in open string field theory of describing a finite marginal deformation of the gauge field or position of a D-brane, and there are similar technical obstacles to resolving the problem.
String Field Theory
Specially, through considering such problems for 3SAT, by introducing suitable reductions, we prove that the decision problem related to the minimum defining set problem of graph colorings1 is Σ2 -complete.
On the Computational Complexity of Defining Sets
It is interesting to note how nicely these categories fit to the combinatorial common sense about the difficulty of problems: On the one side the problems in CSP correspond and generalize ordinary (vertex) coloring problems.
Forbidden lists (NP and CSP for combinatorialists)
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs.
NP by means of lifts and shadows