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We can specify a homeomorphism of the boundary of a solid torus to T by having the meridian curve of the solid torus map to a curve homotopic to.
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We and can
He swung round to the other men -- `` We can catch him easy!!
We can soon tell ''.
`` We can get it if we dig '', he said patiently.
`` We can boil it '', he said.
We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.
We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.
We hear equally fervent concern over the belief that we have not enough generalists who can see the over-all picture and combine our national skills and knowledge for useful purposes.
We can also argue that the three brothers Karamazov and Smerdyakov were the external representatives of an internal conflict within one man, Dostoevsky, a conflict having to do with father-murder and the wish to possess the father's woman.
We feel uncomfortable at being bossed by a corporation or a union or a television set, but until we have some knowledge about these phenomena and what they are doing to us, we can hardly learn to control them.
We must avoid the notion, suggested to some people by examples such as those just mentioned, that ideas are `` units '' in some way comparable to coins or counters that can be passed intact from one group of people to another or even, for that matter, from one individual to another.
We can conceive of no alternatives.
We can be virtuous only if we control our lower natures, the passions in this case, and strengthen our rational side ; ;
We must, first of all, be willing to forgive others before we can secure God's forgiveness.
We don't think she can make her child defective, emotionally disturbed or autistic.
We can attack Tshombe, but not Gigenza.
We can force Britain and France out of the Suez, but we cannot so much as try to force the Russian tanks back from Budapest.
We can mass our fleet against the Trujillos, but not against the Castros.
We can vote in the UN against South African apartheid or Portuguese rule in Angola, but we cannot even introduce a motion on the Berlin Wall -- much less, give the simple order to push the Wall down.
We can expect more of the same.
We can help in the planning process
We can no longer rely on interdepartmental machinery `` somewhere upstairs '' to resolve differences between this and other departments.
We must determine whether missiles can win a war all by themselves.
We have developed an ingenious method of interlocking these so that you can make the major part of your house in your own workshop, panel by panel, according to plan.
We gently usher them to an island of tables and chairs strategically placed on the far side of the pool where they can amuse each other until we get ready to merge sides.
We found that three men -- two carpenters and a helper -- can put up wall panels or trusses more economically than four men -- because four men don't make two teams ; ;
We and specify
" We did not adequately specify how to handle a future MIME version ," Borenstein said.
We can then specify the axis of one of these rotations by a point on a circle, and we can use the radius of the circle to specify the angle of rotation.
We need to specify a set of objects and the rules that can be applied to transform them.
We could specify, say, a normal distribution as the prior for his speed, but alternatively we could specify a normal prior for the time he takes to complete 100 metres, which is proportional to the reciprocal of the first prior.
We see that in typed lambda calculus every function ( abstraction ) must specify the type of its argument.
We also need to specify an electromagnetic field by defining an electromagnetic field tensor on our Lorentzian manifold.
We and boundary
We work in a sea of infinite depth, so the boundary condition is at.
We cannot ask the British constitution for more than the restitution of Grattan's parliament, but no man has the right to fix the boundary of a nation.
[...] But we must also include in our image of Apollo that delicate boundary which the dream image must not overstep lest it have a pathological effect [...] We must keep in mind the measured restraint, the freedom from the wilder emotions, that calm of the sculptor god.
We calculate the h-vector of the octahedron boundary ( our first example ) as follows:
: d = 1: We should consider periodic boundary conditions given by closed loops in a compact symplectic manifold.
: ( We assume both and satisfy the boundary conditions )
) We require that the boundary map is compatible with the filtration ; this means that d ( F < sup > p </ sup > C < sup > n </ sup >) ⊆ F < sup > p </ sup > C < sup > n + 1 </ sup >.
We say about a manifold M that it satisfies a d-dimensional isoperimetric inequality if for any open set D in M with a smooth boundary one has
We may impose the boundary condition that A vanish if r = a ; thus
We can pick two oriented simple closed curves m and ℓ on the boundary torus of the 3-manifold that generate the fundamental group of the torus.
Noting that it would be hard for the party to a win a seat in the three-seat constituency, he said " We had hoped that the most recent electoral boundary changes would result in a fourth seat for Kildare South but this did not happen ".
We have a two dimensional domain whose boundary is a boundary line, which in turn can be described by the following parametric equations
We emphasize that the position of the boundary itself is fixed, while its action upon the particle is defined through the function.
We need to set limits on what we shall do to and for people ', and to recognise in addition that ' we will probably be tested more than once on every boundary we set.
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