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image and ellipse
In general relativity, the apsides of any orbit ( the point of the orbiting body's closest approach to the system's center of mass ) will precess — the orbit is not an ellipse, but akin to an ellipse that rotates on its focus, resulting in a rose curve-like shape ( see image ).
Black ellipse shows approximate landing site on this image taken earlier by Cassini.
Due to imperfections in either the image data or the edge detector, however, there may be missing points or pixels on the desired curves as well as spatial deviations between the ideal line / circle / ellipse and the noisy edge points as they are obtained from the edge detector.
An image of the absolute value of the gain will look very much like the image in the previous section, except that the poles are arranged in a circle rather than an ellipse.

image and by
Westbrook further bemoans the Southern writers' creation of an unreal image of their homeland, which is too readily assimilated by both foreign readers and visiting Yankees: `` Our northerner is suspicious of all this crass evidence ( of urbanization ) presented to his senses.
Life is further characterized, in antithesis to Piepsam, as animal: the image of a dog, which appears at several places, is first given as the criterion of amiable, irrelevant interest aroused by life considered simply as a spectacle: a dog in a wagon is `` admirable '', `` a pleasure to contemplate '' ; ;
It was symbolized ( at least for those of us who recognized ourselves in the image ) by that self-consuming, elegiac candle of Edna St. Vincent Millay's, that candle which from the quatrain where she ensconced it became a beacon to us, but which in point of fact would have had to be as tall as a funeral taper to last even the evening, let alone the night.
The `` conventional '' image of a particular time and place is not necessarily congruent with the image of the facts as established over the years by scholarly and scientific research.
Rousseau's primitivism, the anti-Newtonian mythology of Blake, Coleridge's organic metaphysics, Victor Hugo's image of the poets as the Magi, and Shelley's `` unacknowledged legislators '' are related elements in the rear-guard action fought by the romantics against the new scientific rationalism.
In many of his poems, death comes by train: a strongly evocative visual image.
Consider a simple, closed, plane curve C which is a real-analytic image of the unit circle, and which is given by Af.
Clearly, any line, l, of any bundle having one of these points of tangency, T, as vertex will be transformed into the entire pencil having the image of the second intersection of L and Q as vertex and lying in the plane determined by the image point and the generator of Af which is tangent to **zg at T.
By ( 1 ), the image of this pencil is a ruled surface of order Af which is met by the plane of the pencil in a curve, C, of order Af.
On C there is a Af correspondence in which the Af points cut from C by a general line, l, of the pencil correspond to the point of intersection of the image of L and the plane of the pencil.
For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.
Magwitch terrifies Pip into stealing a pork pie for him by creating the image in the boy's imagination of a bogy man who may `` softly creep his way to him and tear him open '', `` imbruing his hands '' in him.
High-gain, photoelectronic image intensification is applied under conditions of low incident light levels whenever the integration time required by a sensor or recording instrument exceeds the limits of practicability.
High-gain photoelectronic image intensification may be achieved by several methods ; ;
But then this theory confesses that it is completely at a loss as to how the image can possibly be received by the brain.
Hereby, the external object viewed by the eyes remains the thing that is seen, not the retinal image, the purpose of which would be to achieve perceptive cooperation by stirring sympathetic impulses in the other sensory centers, motor tensions, associated word symbols, and consciousness.
It has been truly said that anything man can imagine he can produce or create by projecting this inner image into its counterpart in the objective world.
We should not allow the image of an immanent end brought about indirectly by our own action in the continuing human struggle for a just endurable order of existence to blind us to the fact that in some measure accelerating the end of our lease may be one consequence among others of many other of mankind's thrusts toward we know not what future.
" The speech created an evocative image of the danger of disunion caused by the slavery debate, and rallied Republicans across the North.
The AMPAS was originally conceived by Metro-Goldwyn-Mayer studio boss Louis B. Mayer as a professional honorary organization to help improve the film industry ’ s image and help mediate labor disputes.
In comedy, several players are emerging in the image of the very popular Rouiched which is illustrated in several films such as Hassan Terro or Hassan Taxi, or actor Hadj Abderrahmane better known under the pseudonym of the Inspector Tahar in 1973 comedy The Holiday of The Inspector Tahar directed by Musa Haddad.
The issue has been further complicated by historical revisionists, who have tried to improve the image of the South by lessening the role of slavery.

image and any
By `` image '' is meant not only a visual presentation, but also remembered sensations of any of the five senses plus the feelings which are immediately conjoined therewith.
That picture of the American prairie is as indelibly fixed in the memory of those who have studied the conquest of the American continent as any later cinema image of the West made in live-oak canyons near Hollywood.
Hence, thought of as a line in a particular plane **yp, any tangent to Q has a unique image and moreover this image is the same for all planes through L.
Now the only way in which all curves of the image family of Af can pass through a fixed point is to have a generator of Af which is not a secant but a tangent of **zg, for then any point on such a generator will be transformed into the point of tangency.
A conic, C, being a ( 1, 1 ) curve on Q, meets the image of any line of Af, which we have already found to be a Af curve on Q, in Af points.
Hence its image, C', meets any line of Af in Af points.
For any pencil in a plane containing a Af-fold secant of **zg has an image regulus which meets the plane of the pencil in Af lines, namely the images of the lines of the pencil which pass through the intersection of **zg and the multiple secant, plus an additional component to account for the intersections of the images of the general lines of the pencil.
Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.
Thornburg knew, better than any of them, that a public image was as fragile as Humpty Dumpty.
The position of each object in any particular image relates to the position of that object in the previous and following images so that the objects each appear to fluidly move independently of one another.
In the case of a rotation, the arc is centered at the center of the rotation and delimited by any point and its image by the rotation.
As he was dying on the voyage back from Egypt, he gave instructions to those close to him that they should not be responsible for making any image of his person, be it modeled or painted or copied, " For if I have accomplished any glorious feat, that will be my memorial.
The electron beam could be swept across the screen much faster than any mechanical disc system, allowing for more closely spaced scan lines and much higher image resolution, while slow-fade phosphors removed image flicker effects.
The elementary theory of optical systems leads to the theorem: Rays of light proceeding from any object point unite in an image point ; and therefore an object space is reproduced in an image space.
The introduction of simple auxiliary terms, due to C. F. Gauss ( Dioptrische Untersuchungen, Göttingen, 1841 ), named the focal lengths and focal planes, permits the determination of the image of any object for any system ( see lens ).
In 2006 and 2007, J. D. Monnier and his coworkers produced an image of Altair's surface from 2006 infrared observations made with the MIRC instrument on the CHARA array interferometer ; this was the first time the surface of any main-sequence star, apart from the Sun, had been imaged.

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