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 motivational factors such as interest, drive, and passion in assessing accomplishment.

Consider an example of linear supply and demand curves.

Consider the following demand and supply schedule:

Consider a typical situation: A retailer faces uncertain demand for its product from customers over time.

Consider a hypothetical market in which supply and demand are such that the equilibrium price and quantity are $ 5 and 500 units, respectively.

Consider it as a standby setup, at negligible cost, for those emergencies when the furnace quits, a blizzard holds up fuel delivery, or for cool summer mornings or evenings when you don't want to start up your whole heating plant.

Consider the features of Utopian communism: generous public provision for the infirm ; ;

Consider, for instance, the following equations:

Consider, for instance, particles suspended in a viscous fluid in a gravitational field.

Consider a complete orthonormal system ( basis ),, for a Hilbert space H, with respect to the norm from an inner product.

Consider for example the compound ( 3Z, 6E )- 3, 5, 7-trimethylnona-3, 6-diene.

* Consider the set of all functions from the real number line to the closed unit interval, and define a topology on so that a sequence in converges towards if and only if converges towards for all.

* Consider the set K of all functions ƒ: → satisfying the Lipschitz condition | ƒ ( x ) − ƒ ( y )| ≤ | x − y | for all x, y ∈.

* Consider the importance of genetic resources for food and agriculture for food security

Consider for instance the sequence defined by and.

Consider the unitary form defined above for the DFT of length N, where

Consider the following simple grammar for arithmetic expressions :< syntaxhighlight lang =" bnf ">

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

Consider, for example,

Geometric arrangement for Fresnel's calculation Consider the case of a point source located at a point P < sub > 0 </ sub >, vibrating at a frequency f. The disturbance may be described by a complex variable U < sub > 0 </ sub > known as the complex amplitude.

Consider Japan, for instance, which used to have optional jury trials for capital or other serious crimes between 1928 and 1943.

Consider for example determining which of the following are to be considered diseases ( i. e., abnormal states requiring cure ): alcoholism, homosexuality, and chronic fatigue syndrome.

Consider for example workers who take coffee beans, use a roaster to roast them, and then use a brewer to brew and dispense a fresh cup of coffee.

Consider the context of evaluating each one of a class of events A < sub > 1 </ sub >, A < sub > 2 </ sub >, A < sub > 3 </ sub >,..., A < sub > n </ sub > ( for example, is the occurrence of the event harmful or not ?).

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, for example, a reference frame moving relative to another at velocity in the direction.

Consider, for example, what happens when an object in the periphery of the visual field moves, and a person looks toward it.

Consider a function with its corresponding graph as a subset of the Cartesian product.

Consider the general definition of the Cartesian product:

Consider the Gram – Schmidt process applied to the columns of the full column rank matrix, with inner product ( or for the complex case ).

Consider the ring generated by pairs ( X, V ) where V is a smooth vector bundle on the compact smooth oriented manifold X, with relations that the sum and product of the ring on these generators are given by disjoint union and product of manifolds ( with the obvious operations on the vector bundles ), and any boundary of a manifold with vector bundle is 0.

Consider the expression: in this case, the dummy variable of the product is not mentioned within the term.

Consider the two-field operator product

Consider an-dimensional space, foliated as a product by subspaces consisting of points whose first co-ordinates are constant.

Consider two waveforms f and g. By calculating the convolution, we determine how much a reversed function g must be shifted along the x-axis to become identical to function f. The convolution function essentially reverses and slides function g along the axis, and calculates the integral of their ( f and the reversed and shifted g ) product for each possible amount of sliding.

Consider as an example the videotape format war ; Two mechanisms independent of product quality could explain how VHS achieved dominance over Betamax from a negligible early adoption lead:

Consider a quantum mechanical system whose state space is the tensor product of Hilbert spaces.

Consider a database of sales, perhaps from a store chain, classified by date, store and product.

Consider fitting a line: for each data point the product of the vertical and horizontal residuals equals twice the area of the triangle formed by the residual lines and the fitted line.

Consider the tensor product of modules H < sub > i </ sub >( X, Z ) ⊗ A. The theorem states that there is an injective group homomorphism ι from this group to H < sub > i </ sub >( X, A ), which has cokernel Tor ( H < sub > i-1 </ sub >( X, Z ), A ).

Consider now the finite approximations to the Wallis product, obtained by taking the first k terms in the product:

Consider then the tensor product vector space ( n times ).

Consider the cartesian product of topological spaces, indexed by some index.