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 set of pulleys that form the moving block and the parts of the rope that support this block.

Consider the following statement in the circumstance of sorting apples on a moving belt:

Consider a configuration in which the rapidly moving material down the chute impinges on an obstruction wall erected perpendicular at the end of a long and steep channel.

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 particle of mass, moving in a potential field.

Consider the example above where the spring rate was calculated to be 500 lbs / inch, if you were to move the wheel ( without moving the car ), the spring more than likely compresses a smaller amount.

Consider a body of one kilogram, moving in a circle of radius one metre, with an angular velocity of one radian per second.

Consider a right angle moving rigidly so that one leg remains on the point P and the other leg is tangent to the curve.

Consider a five-frame clip of a ball moving from the bottom left of a field of vision, to the top right.

Consider the rigid object moving smoothly along the regular curve.

Consider a bug that is moving through a volume where there is some scalar,

Consider a system of n rigid bodies moving in space has 6n degrees of freedom measured relative to a fixed frame.

Consider a cold, uniform, and unmagnetized plasma, where ions are stationary and the electrons have velocity, that is, the reference frame is moving with the ion stream.

Consider a physical system that acts as a linear filter, such as a system of springs and masses, or an analog electronic circuit that includes capacitors and / or inductors ( along with other linear components such as resistors and amplifiers ).

Consider a point, P, such that light that is initially travelling parallel to the axis of symmetry is reflected from P along a line that is perpendicular to the axis of symmetry.

Consider dividing the largest rectangle in two triangles, cutting along the diagonal.

Consider a light wave propagating along the z principal axis polarised such the electric field of the wave is parallel to the x-axis.

Consider T to be a differentiable multilinear map of smooth sections α < sup > 1 </ sup >, α < sup > 2 </ sup >, ..., α < sup > q </ sup > of the cotangent bundle T * M and of sections X < sub > 1 </ sub >, X < sub > 2 </ sub >, ... X < sub > p </ sub > of the tangent bundle TM, written T ( α < sup > 1 </ sup >, α < sup > 2 </ sup >, ..., X < sub > 1 </ sub >, X < sub > 2 </ sub >, ...) into R. Define the Lie derivative of T along Y by the formula

Consider a polygon P and a triangle T, with one edge in common with P. Assume Pick's theorem is true for both P and T separately ; we want to show that it is also true to the polygon PT obtained by adding T to P. Since P and T share an edge, all the boundary points along the edge in common are merged to interior points, except for the two endpoints of the edge, which are merged to boundary points.

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 a planar projection of each knot and suppose these projections are disjoint. Find a rectangle in the plane where one pair of sides are arcs along each knot but is otherwise disjoint from the knots.

Consider an infinite cylinder whose axis lies along the vector

Consider a unit circle in, shrinking in on itself at a constant rate, i. e. each point on the boundary of the circle moves along its inwards pointing normal at some fixed speed.