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: " one team ", " two teams ", " most teams "; " one government ", " two governments ", " many governments ").

Consider two systems ; S < sub > 1 </ sub > and S < sub > 2 </ sub > at the same temperature and capable of exchanging particles.

Consider the following two probabilities, assuming a fair coin:

* The Infinite Moment ( 1961 ) ( US edition of Consider Her Ways, with two stories dropped, two others added )

Consider the following two examples.

Consider two observers O and O ', each using their own Cartesian coordinate system to measure space and time intervals.

Consider two noninteracting systems and, with respective Hilbert spaces and.

Consider two ISPs, A and B, which each have a presence in New York, connected by a fast link with latency 5 ms ; and which each have a presence in London connected by a 5 ms link.

Consider the two endpoints of a rod of length L. The length can be determined from the differences in the three coordinates Δx, Δy and Δz of the two endpoints in a given reference frame

Consider the 1592 season of Lord Strange's Men at the Rose Theatre as far more representative: between Feb. 19 and June 23 the company played six days a week, minus Good Friday and two other days.

Consider a sample space generated by two random variables and.

Consider two instances of Bayes ' theorem:

Consider code that adds two numbers and then multiplies by a third ; in the Cray, these would all be fetched at once, and both added and multiplied in a single operation.

Consider two transactions.

Consider the following two lists:

Consider two particles, denoted by subscripts 1 and 2.

Consider the ratio of the difference of two positions of a particle divided by the time interval, which is called the average velocity over that time interval.

Consider two variables said to be " inversely proportional " to each other.

: Consider two even integers x and y.

Consider Thomas Hood's " Bridge of Sighs :", in which the lines are of two feet, each composed of three syllables:

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

* Consider a 60 ° ( 360 °/ 6 ) rotation matrix with respect to the oblique lattice basis for a tiling by equilateral triangles.

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 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 the example of moving along a curve γ ( t ) in the Euclidean plane.

Consider an infinite cylinder whose axis lies along the vector

Consider the rigid object moving smoothly along the regular curve.

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.

Consider a block diagonal matrix

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

Consider this table: 1.

Consider what you have to earn to be able to spend the $3,000 and your building time is well worth it.

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 what you can afford to spend and what your goals are before setting up or revamping your employee benefit program.

Consider installing supplemental serving lines in production areas.

Consider adopting a system of holidays in which time off is granted with an eye to minimum inconvenience to the operation of the plant.

Consider using vending machines rather than subsidized cafeterias.

Consider the equipment needed to protect this many from the weather, to make their cooking easy and their sleeping comfortable.

Consider a shear field with a height of H and a cross-sectional area of A opposed by a manometer with a height of H ( referred to the same base as H ) and a cross-sectional area of A.

Consider couples visiting an art museum.

Consider a simple, closed, plane curve C which is a real-analytic image of the unit circle, and which is given by Af.

Consider the traditional `` four fields '' of philosophy: logic, ethics, epistemology and esthetics.

Consider what follows from the positivist view.

Consider the four monks who figure prominently in the action: Pimen, Varlaam, Missail and the Jesuit Rangoni.

Consider the process illustrated in Fig. 2.1, consisting of R distinct stages.

Consider what happened during World War 1,, when the Protestant churches united to push the Prohibition law through Congress.

Consider opportunity.

Consider the tense system.

Consider the sample ( 4, 7, 13, 16 ) from an infinite population.

Consider the assembly of a car: assume that certain steps in the assembly line are to install the engine, install the hood, and install the wheels ( in that order, with arbitrary interstitial steps ); only one of these steps can be done at a time.

Consider the first equation.

* Consider a set with three elements, A, B, and C. The following operation:

Consider the graph of the equation y = 1 / x shown to the right.

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