Consider the subset sum problem, an example of a problem that is easy to verify, but whose answer may be difficult to compute.

Consider the problem of determining the index of the database entry which satisfies some search criterion.

Consider the two-dimensional problem introduced above:

Consider, for example, the Closest pair problem:

:: • Consider whether a proposed improvement will solve the problem, or cause " crash migration.

Consider the problem of finding solutions of the form ƒ ( r, θ, φ ) = R ( r ) Y ( θ, φ ).

Consider the problem of factoring the polynomial

Consider the following problem.

Consider a simple 1D advection problem defined by the following partial differential equation

Consider the problem of a mine owner who must decide at what rate to extract ore from his mine.

Use your experience: Consider the problem and try to make sense of it.

Consider the following stochastic programming problem

Consider a problem that can be solved using a recursive algorithm such as the following:

Consider a complex, real-world problem, like those of marketing or making policies for a nation, where there are many governing factors, and most of them cannot be expressed as numerical time series data, as one would like to have for building mathematical models.

Consider the initial value problem

Consider the following problem in deterministic optimal control over the time period:

Consider the unconstrained optimization problem.

Consider the circuit minimization problem: given a circuit A computing a Boolean function f and a number n, determine if there is a circuit with at most n gates that computes the same function f. An alternating Turing machine, with one alternation, starting in an existential state, can solve this problem in polynomial time ( by guessing a circuit B with at most n gates, then switching to a universal state, guessing an input, and checking that the output of B on that input matches the output of A on that input ).

Consider the problem of estimating the probability that a test point in N-dimensional Euclidean space belongs to a set, where we are given sample points that definitely belong to that set.

Consider the general problem of inferring a distribution for a parameter θ given some datum or data x.

Consider the problem of distributing objects given by a generating function into a set of n slots, where a permutation group G of degree n acts on the slots to create an equivalence relation of filled slot configurations, and asking about the generating function of the configurations by weight of the configurations with respect to this equivalence relation, where the weight of a configuration is the sum of the weights of the objects in the slots.

Consider region D in the plane: a unit circle or general polygon — the asymptotics of the problem, which are the interesting aspect, aren't dependent on the exact shape.

Listen to what Mr. Johnston has to say: `` Consider the savage wounds that isolationism would inflict.

Consider a project that has been planned in detail, including a time-phased spend plan for all elements of work.

Consider the closed intervals for all integers k ; there are countably many such intervals, each has measure 1, and their union is the entire real line.

Consider a hypothetical event which has 8 possible outcomes, in a country using a decimal currency such as dollars.

Consider, for example, the implication this has for plane rotations.

Consider the system at the point it has reached equilibrium.

Consider Hawaiian, which has a and, but no or.

If S is compact but not closed, then it has an accumulation point a not in S. Consider a collection consisting of an open neighborhood N ( x ) for each x ∈ S, chosen small enough to not intersect some neighborhood V < sub > x </ sub > of a.

Consider as an example the Black – Scholes price of a call option, for which the PDE above has boundary conditions

Consider, for example, the bilateral shift, which has no eigenvalues.

Consider a system where the gun and shooter have a combined mass M and the bullet has a mass m. When the gun is fired, the two systems move away from one another with new velocities V and v respectively.

Pope Pelagius II ( 578-590 ): " Consider the fact that whoever has not been in the peace and unity of the Church cannot have the Lord … Although given over to flames and fires, they burn, or, thrown to wild beasts, they lay down their lives, there will not be ( for them ) that crown of faith but the punishment of faithlessness … Such a one can be slain, he cannot be crowned … slain outside the Church, he cannot attain the rewards of the Church " ( Denzinger, 469 ).

Consider a relation variable ( relvar ) R with attributes ( A, B, C, D ) that has only the following two legal values r1 and r2:

Consider cases where one has no desire to be " good "— whatever it is.

Consider the situation where person A has tuberculosis and believes that he acquired it from person B.

Consider a coin-flipping game with two players where each player has a 50 % chance of winning with each flip of the coin.

This task also requires resource R. Consider H starts after L has acquired resource R. Now H has to wait until L relinquishes resource R.

Noam Chomsky has often criticised Kinsley's reporting: " Consider political commentator Michael Kinsley, who represents " the left " in mainstream commentary and television debate.

Consider a bar magnet which has magnetic poles of equal magnitude but opposite polarity.

Consider the following test case: The field f has been on for infinite time and is switched off at t = 0

Consider a country whose economy is characterized by a large number of sectors which are so small that any increase in the productivity of one sector has no impact on the economy as a whole.

Consider an ensemble of systems described by a Hamiltonian H with average energy E. If H has pure-point spectrum and the eigenvalues of H go to + ∞ sufficiently fast, e < sup >- r H </ sup > will be a non-negative trace-class operator for every positive r.

Consider a system composed by cascaded non interacting blocks, each having a rise time and no overshoot in their step response: suppose also that the input signal of the first block has a rise time whose value is.