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Page "Point spread function" ¶ 17
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We and imagine
( We can imagine how they startled audiences of the 1870's.
We might imagine deliberately upsetting this equilibrium situation by somehow momentarily altering the surface shape of the water to make it different from an equal-energy surface.
We couldn't imagine a happy ending.
We may not be able to imagine a square circle, and of course, such a notion is self-contradictory.
We imagine someone thinking very hard, with nothing in front of him ; and then the next moment there is something, like a tree, in front of him ; and, whatever this would mean, we imagine that his thoughts have caused the tree to appear in front of him.
We would have to imagine a mind, somewhat like our own mind, all by itself causing the tree to pop into existence.
We might imagine that we understand this, but it doesn't seem like we actually do.
We can't imagine throwing the gospel at people or aiming to harm them with it.
We can imagine the curve as the path of motion of some object, with the orientation indicating the direction in which the object moves.
Keaggy has long insisted that such stories are completely unfounded, noting that " it was impossible that Jimi Hendrix could ever have heard me ... We ... recorded our first album at Electric Lady Studios two weeks after his unfortunate death, so I just can ’ t imagine how he could ’ ve heard me.
In the Meditation each of the heads casts about for the sense of its situation, considers the nature of the light, probes for certainties amid the darkness and then makes an attempt to imagine what has happened to the other two corners of this particular Eternal Triangle … We can now see that the heads are not chained exclusively to their ‘ past ’, their narration ( s ): they are victims of the light, certainly, but not only victims, for they can recognize themselves as such and can speak of the light when forced to speak by the light.
We can imagine a region in the stellar atmosphere with a density lower than the surroundings, but with a higher radiation pressure.
We can imagine a " bosonic Hamiltonian ", whose eigenstates are the various bosons of our theory.
We might imagine that this process was consistent with conservation of energy.
We can imagine this imbalance of momentum flow-and therefore of the force exerted on any other body in the vicinity-distributed over a spherical surface centered on the object ( P4 ).
We can then repeat the argument, and imagine another divide, and ask if it would be better for more extra people to exist, unknown to the people in B, and so on, as before.
In a letter to the regimental surgeon, Lincoln Stone, Frank Shaw wrote :" We would not have his body removed from where it lies surrounded by his brave and devoted soldiers .... We can imagine no holier place than that in which he lies, among his brave and devoted followers, nor wish for him better company.
We can also treat the fictional world as a set of signs that the game presents, and we can treat the fictional world as something that the game cues the player into imagining and that players then imagine in their own ways ( Juul, 2005 ).” Bogost ’ s comparative approach to videogame criticism also stands out as one of the more recent steps in the direction of proposing new ways of studying and theorizing about games.
We can then imagine a trait that benefits each haystack group, perhaps leading to behaviorally altruistic acts that cost an individual some fitness but enhance the fitness of its group even more, and a selfish trait that, for the purposes of this discussion, we can call the absence of the altruistic trait.
We must not, however, upon this account, imagine that the gain of the town is the loss of the country.
" They also suggest responses: " We can readily imagine a series of possible responses.
We can imagine those roles as hats that we wear at appropriate times ( e. g. Son, Brother, Teacher, Employee etc .).

We and object
We receive, therefore, in no single intercepting plane behind the system, as, for example, a focusing screen, an image of the object point ; on the other hand, in each of two planes lines O ' and O " are separately formed ( in neighboring planes ellipses are formed ), and in a plane between O ' and O " a circle of least confusion.
We have no power over external things, and the good that ought to be the object of our earnest pursuit, is to be found only within ourselves.
We say that the property P entails the property Q, if any object in any world that has the property P in that world also has the property Q in that same world.
* The instrumental case indicates an object used in performing an action: We wiped the floor with a mop.
We think along the lines that there is no force on the object, then all of the sudden there is a force on the object.
In " We step and do not step into the same rivers ; we are and we are not ", an object simultaneously must be both what it now is and what it will become.
We neither conceive them, nor think them, nor cognize them in any way, as a thing apart, but solely as forming, in combination with numerous other attributes, the idea of an individual object ".
We have no greater justification for being cruel to the miserable object, than for being cruel to a WILLIAM SHAKESPEARE or an ISAAC NEWTON ; but he passes away before an immeasurably better and higher power that of Christianity than ever ran wild in any earthly woods, and the world will be all the better when this place knows him no more.
We can also hear the fall of a meteorite in a radio receiver ; as the falling object burns from friction with the Earth's atmosphere, ionizing surrounding gases, thereby producing radio waves.
We first observe that for each object there is a
We perceive elements of objects to have trends of motion, which indicate the path that the object is on.
We are less likely to group elements with sharp abrupt directional changes as being one object.
We believe that there is only one God, who is infinitely perfect, the Creator, Preserver, and Governor of all things, and who is the only proper object of religious worship.
We have with the utmost deliberation, examined the matter, with an anxiety to duly discharge the duty which we owe on all hands — the duty which we owe the prisoner of not meting out punishment beyond the just measure of the offence, and the duty we owe to the public that the degree of punishment will be such as to carry out the object of all punishment, which is not the mere infliction of the penalty upon the person convicted, but the prevention of crime — that that punishment should carry with it a security to the country, as far as possible, that one who has offended so perseveringly — that so deliberate a violator of the law shall not be permitted to continue his course of conduct to the disturbance of its peace and prosperity.
[...] We here define ‘ shape ’ informally as ‘ all the geometrical information that remains when location, scale and rotational effects are filtered out from an object .’
# “ We deduce that since no object strikes us entirely by itself, but along with something else, it may perhaps be possible to say what the mixture compounded out of the external object and the thing perceived with it is like, but we would not be able to say what the external object is like by itself.
* In " We listened to the radio ", radio is the object of the preposition to, and the prepositional object of the simple past of the phrasal verb to listen to.
We define the elementary language of category theory as the two-sorted first order language with objects and morphisms as distinct sorts, together with the relations of an object being the source or target of a morphism and a symbol for composing two morphisms.

We and plane
We will refer to the plane of C and Af as the C-plane and to the plane of the graph as the Aj.
We pay for a single fighter plane with a half million bushels of wheat.
We improved the precision of the position, i. e. reduced σ < sub > x </ sub >, by using many plane waves, thereby weakening the precision of the momentum, i. e. increased σ < sub > p </ sub >.
i. e., z is a vector orthogonal to the vector v ( Indeed, z is the projection of u onto the plane orthogonal to v .) We can thus apply the Pythagorean theorem to
We now wish to construct some two-dimensional Lebesgue measure λ < sup > 2 </ sup > on the plane R < sup > 2 </ sup > as a product measure.
We assume a plane wave:.
We could associate an algebra to our geometry using a Cartesian coordinate system made of two lines, and represent points of our plane by vectors.
** We Are Marshall, a 2006 movie about the aftermath of the 1970 plane crash that killed most of the Marshall University football team and coaching staff
We want to find n ′ perpendicular to P. Let t be a vector on the tangent plane and M < sub > l </ sub > be the upper 3x3 matrix ( translation part of transformation does not apply to normal or tangent vectors ).
We all thought it was an enemy plane until the next day when we read the papers and discovered it was Amy.
We can establish a one-to-one correspondence between the points on the surface of the sphere minus the north pole and the points in the complex plane as follows.
We perfect the one-to-one correspondence by adding one more point to the complex planethe so-called point at infinity — and identifying it with the north pole on the sphere.
We can " cut " the plane along the real axis, from − 1 to 1, and obtain a sheet on which g ( z ) is a single-valued function.
We should distinguish at the outset between the L-series, an infinite series representation ( for example the Dirichlet series for the Riemann zeta-function ), and the L-function, the function in the complex plane that is its analytic continuation.
Westervelt USN that " We could build a better plane ourselves and build it faster ".
We can extend the definition of the Airy function to the complex plane by
Of course, there are other solutions, which is evidenced by considering the position of i in the complex plane and in particular its argument arg i. We can rotate counterclockwise π / 2 radians from 1 to reach i initially, but if we rotate further another 2π we reach i again.
Among Strathairn's recent films are: We Are ... Marshall, a 2006 film about the rebirth of Marshall University's football program after the 1970 plane crash that killed most of the team's members ; and Cold Souls, starring Paul Giamatti as a fictionalised version of himself, who enlists a company's services to deep freeze his soul, directed by Sophie Barthes.
We see the shift in traditional belief of Heaven as influenced by the Renaissance, which is called " neo-Platonism ," which tried to lift love to a spiritual, idealistic plane, as compared to the traditional Catholic view of Heaven.
On May 11, 2006, before the House of Commons, she said " We would have to pull every truck and car off the street, shut down every train and ground every plane to reach the Kyoto target negotiated by the Liberals.
We also note that a perfect point source radiator will not only radiate a uniform spectrum of propagating plane waves, but a uniform spectrum of exponentially decaying ( evanescent ) waves as well, and it is these which are responsible for resolution finer than one wavelength ( see Fourier optics ).

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