Consider the following example.

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

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 example ∇ < big >×</ big > < big >×</ big > F.

Consider the example of a coffee cup and a donut ( see < span class =" plainlinks "> this example </ span >).

Consider, for example,

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 Lake Sturgeon as but one example.

Consider an example:

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

Consider the following example ( in Kwakw ' ala, sentences begin with what corresponds to an English verb ):

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

Consider for example a particular oak tree.

Consider, for example, the claim that the extinction of the dinosaurs was probably caused by a large meteorite hitting the earth.

Consider for example songbirds.

For example: Consider first a classical computer that operates on a three-bit register.

Consider an audio DSP example: if a process requires 2. 01 seconds to analyze, synthesize, or process 2. 00 seconds of sound, it is not real-time.

Consider for example the 4-by-4 matrix

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

Consider, for example, that when the bride says " I do " at the appropriate time in a wedding, she is performing the act of taking this man to be her lawful wedded husband.

Consider the classic example of the human body.

Consider Peter Unger's example of a cloud ( from his famous 1980 paper, " The Problem of the Many "): it's not clear where the boundary of a cloud lies ; for any given bit of water vapor, one can ask whether it's part of the cloud or not, and for many such bits, one won't know how to answer.

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

Consider as above systems and each with a Hilbert space,.

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

Consider a Lagrangian which does not depend on an (" ignorable ", as above ) coordinate q < sub > k </ sub >; so it is invariant ( symmetric ) under changes q < sub > k </ sub > → q < sub > k </ sub > + δq < sub > k </ sub >.

Consider the two-dimensional problem introduced above:

Consider for example the same task as above but with an array consisting of 1000 numbers instead of 100, and where all numbers have the value 1.

Consider the N-glycosylation site motif mentioned above:

Consider three things, and you will not come to sin: Know what is above you, a seeing eye, a hearing ear, and all of your deeds written down in a book.

Consider similar as above

Consider the essentially series networks whose components correspond to the partition above.

Consider a geodesic with parallel orthonormal frame,, constructed as above.

Consider another application similar to the one above with the 12 mm pin.

Consider the " Choose a Leader " example above.

Consider the above example again.

Consider a Stackelberg game ( i. e. one which fulfills the requirements described above for sustaining a Stackelberg equilibrium ) in which, for some reason, the leader believes that whatever action it takes, the follower will choose a Cournot quantity ( perhaps the leader believes that the follower is irrational ).

Consider two possible elaborations of the above example:

* Consider now L = Q ( ³ √ 2, ω ), where ω is a primitive third root of unity.

Consider now the acceleration due to the sphere of mass M experienced by a particle in the vicinity of the body of mass m. With R as the distance from the center of M to the center of m, let ∆ r be the ( relatively small ) distance of the particle from the center of the body of mass m. For simplicity, distances are first considered only in the direction pointing towards or away from the sphere of mass M. If the body of mass m is itself a sphere of radius ∆ r, then the new particle considered may be located on its surface, at a distance ( R ± ∆ r ) from the centre of the sphere of mass M, and ∆ r may be taken as positive where the particle's distance from M is greater than R. Leaving aside whatever gravitational acceleration may be experienced by the particle towards m on account of ms own mass, we have the acceleration on the particle due to gravitational force towards M as:

Consider, also, that all English speakers often pronounce ' Z ' where ' S ' is spelled, almost always when a noun ending in a voiced consonant or a liquid is pluralized, for example " seasons ", " beams ", " examples ", etc.

Consider the case where the far end of the cable is shorted ( that is, it is terminated into zero ohms impedance ).

Consider the plane spanned by and, where is a ket in the subspace perpendicular to.

Consider a quantum ensemble of size N with occupancy numbers n < sub > 1 </ sub >, n < sub > 2 </ sub >,..., n < sub > k </ sub > corresponding to the orthonormal states, respectively, where n < sub > 1 </ sub >+...+ n < sub > k </ sub >

We say that the number x is a periodic point of period m if f < sup > m </ sup >( x ) = x ( where f < sup > m </ sup > denotes the composition of m copies of f ) and having least period m if furthermore f < sup > k </ sup >( x ) ≠ x for all 0 < k < m. We are interested in the possible periods of periodic points of f. Consider the following ordering of the positive integers:

Consider a database that records customer orders, where an order is for one or more of the items that the enterprise sells.

Consider the simple experiment where a fair coin is tossed four times.

Consider a number n > 0 in base b ≥ 2, where it is written in standard notation with k + 1 digits a < sub > i </ sub > as:

: Example: Consider a scenario where a legitimate party called Alice encrypts messages using the cipher-block chaining mode.

Consider for example, the sharing of food in some hunter-gatherer societies, where food-sharing is a safeguard against the failure of any individual's daily foraging.

Consider the simple case of two-body system, where object A is moving towards another object B which is initially at rest ( in any particular frame of reference ).

Consider a 10 year mortgage where the principal amount P is $ 200, 000 and the annual interest rate is 6 %.

Consider a simple banking application where two users have access to the funds in a particular account.

Consider the polynomial ring R, and the irreducible polynomial The quotient space is given by the congruence As a result, the elements ( or equivalence classes ) of are of the form where a and b belong to R. To see this, note that since it follows that,,, etc.

Consider a random walk on the number line where, at each step, the position ( call it x ) may change by + 1 ( to the right ) or-1 ( to the left ) with probabilities:

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.

Consider a circuit where R, L and C are all in parallel.

Consider an MDCT with 2N inputs and N outputs, where we divide the inputs into four blocks ( a, b, c, d ) each of size N / 2.

Consider the physical model of the citizenship of human beings in the early 21st century, where about 30 % are Indian and Chinese citizens, about 5 % are American citizens, about 1 % are French citizens, and so on.

Consider a social network, where the graph ’ s vertices represent people, and the graph ’ s edges represent mutual acquaintance.