You could theoretically use these shoes to walk an infinite distance in VR, even in a tiny room.
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When not crossing and joining in points that reach a seemingly infinite distance, the light bars fall into a perfect hexagon, framing a black void.
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Well, if the gravitational potential energy at an infinite distance is zero and the potential energy decreases as the object gets closer, the potential must be negative.
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However, we can define the potential energy with respect to an infinite distance away and get the following expression: As you can see, that's pretty similar to our equation above for FG. Why is there a minus sign on this one?
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Not even if a static, patterned background were present in the five frames, could we confidently state that the ball was moving to the right, because the pattern might have an infinite distance to the observer.
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It is convenient and conventional to assign the potential energy as having zero value when they are an infinite distance apart, and hence it has a negative value (since it decreases from zero) for smaller finite distances.
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A directional light source illuminates all objects equally from a given direction, like an area light of infinite size and infinite distance from the scene; there is shading, but cannot be any distance falloff. This is like the sun.
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When the picture contains no object at infinite distance, such as a horizon or a cloud, the pictures should be spaced correspondingly closer together. The side-by-side method is extremely simple to create, but it can be difficult or uncomfortable to view without optical aids.
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Lines on the plane when are ideal points. The plane at is the line at infinity. The homogeneous point is where all the real points go when you're looking at the plane from an infinite distance, a line on the plane is where parallel lines intersect.
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Mirecourt is most well known for his theories on the infinite. He was chiefly concerned with species and perfections. God possessed the highest degree of perfection on his scale; and all creatures were infinitely distant from him. Mirecourt held that it is impossible to measure perfections because of the infinite distance they have from God.
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CPCs are the most common seen nonimaging optics. They are often used to demonstrate the difference between Imaging optics and nonimaging optics. When seen from the CPC, the incoming radiation (emitted from the infinite source at an infinite distance) subtends an angle ±θ (total angle 2θ). This is called the acceptance angle of the CPC.
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Orthophotomap of Rockport, Texas. The orthophotomap contains additional roads, terrain elevation and bathymetry layers. An orthophotomosaic is a raster image made by merging orthophotos — aerial or satellite photographs which have been transformed to correct for perspective so that they appear to have been taken from vertically above at an infinite distance. Google Earth images are of this type.
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Perspective artwork utilizes the concept of vanishing points, roughly corresponding to mathematical points at infinity, located at an infinite distance from the observer. This allows artists to create paintings that realistically render space, distances, and forms., Section 10-7, p. 229 Artist M.C. Escher is specifically known for employing the concept of infinity in his work in this and other ways.
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An NTS is stable if E(Q) is smaller than the sum of masses for Q particles at infinite distance each from other. That is case for some Q, but such a E(Q) dependence allows the fission for any Q. Why could not quarks be bound in a hadron like in NTS. Friedberg and Lee investigated such a possibility.
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Corrosion Source. Retrieved on 1 December 2011. If the potential energy is set to zero at infinite distance from the atomic nucleus or molecule, the usual convention, then bound electron states have negative potential energy. If an atom, ion, or molecule is at the lowest possible energy level, it and its electrons are said to be in the ground state.
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Oseen considered the sphere to be stationary and the fluid to be flowing with a flow velocity (U) at an infinite distance from the sphere. Inertial terms were neglected in Stokes’ calculations. It is a limiting solution when the Reynolds number tends to zero. When the Reynolds number is small and finite, such as 0.1, correction for the inertial term is needed.
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Two Passiflora caerulea flowers arranged as a stereo image pair for viewing by the cross-eyed viewing method (see Freeviewing) To avoid eyestrain and distortion, each of the two 2D images should be presented to the viewer so that any object at infinite distance is perceived by the eye as being straight ahead, the viewer's eyes being neither crossed nor diverging. When the picture contains no object at infinite distance, such as a horizon or a cloud, the pictures should be spaced correspondingly closer together. The advantages of side-by-side viewers is the lack of diminution of brightness, allowing the presentation of images at very high resolution and in full spectrum color, simplicity in creation, and little or no additional image processing is required. Under some circumstances, such as when a pair of images is presented for freeviewing, no device or additional optical equipment is needed.
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The emission spectrum is more complicated than the absorption spectrum of the same molecule because there are more changes in vibrational energy level. The Morse potential (blue) and harmonic oscillator potential (green). The potential at infinite internuclear distance is the dissociation energy for pure vibrational spectra. For vibronic spectra there are two potential curves (see Figure at right), and the dissociation limit is the upper state energy at infinite distance.
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Orthographic projection (equatorial aspect) of eastern hemisphere 30W-150E The orthographic projection with Tissot's indicatrix of deformation. The use of orthographic projection in cartography dates back to antiquity. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective (or azimuthal) projection, in which the sphere is projected onto a tangent plane or secant plane. The point of perspective for the orthographic projection is at infinite distance.
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Suppose you would like to find the shortest path between two intersections on a city map: a starting point and a destination. Dijkstra's algorithm initially marks the distance (from the starting point) to every other intersection on the map with infinity. This is done not to imply that there is an infinite distance, but to note that those intersections have not been visited yet. Some variants of this method leave the intersections' distances unlabeled.
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In regular quantum mechanics, which includes quantum chemistry, the relevant equation is the Schrödinger equation, although equivalent formulations, such as the Lippmann-Schwinger equation and the Faddeev equations, are also largely used. The solutions of interest describe the long-term motion of free atoms, molecules, photons, electrons, and protons. The scenario is that several particles come together from an infinite distance away. These reagents then collide, optionally reacting, getting destroyed or creating new particles.
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In computer graphics, draw distance (render distance or view distance) is the maximum distance of objects in a three-dimensional scene that are drawn by the rendering engine. Polygons that lie beyond the draw distance will not be drawn to the screen. Draw distance requires definition because a processor having to render objects out to an infinite distance would slow down the application to an unacceptable speed. See entries on "Depth shading" and "Draw in".
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In optics and photography, infinity focus is the state where a lens or other optical system forms an image of an object an infinite distance away. This corresponds to the point of focus for parallel rays. The image is formed at the focal point of the lens. Simply two lens system such as a refractor telescope, the object at infinity forms an image at the focal point of the objective lens, which is subsequently magnified by the eyepiece.
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Force particles, called gauge bosons—force carriers or messenger particles of underlying fields—interact with matter particles, called fermions. Everyday matter is atoms, composed of three fermion types: up-quarks and down-quarks constituting, as well as electrons orbiting, the atom's nucleus. Atoms interact, form molecules, and manifest further properties through electromagnetic interactions among their electrons absorbing and emitting photons, the electromagnetic field's force carrier, which if unimpeded traverse potentially infinite distance. Electromagnetism's QFT is quantum electrodynamics (QED).
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A parallel projection corresponds to a perspective projection with a hypothetical viewpoint; i.e. one where the camera lies an infinite distance away from the object and has an infinite focal length, or "zoom". Various projections and how they are produced Orthographic projection is derived from the principles of descriptive geometry, and is a type of parallel projection where the projection rays are perpendicular to the projection plane. It is the projection type of choice for working drawings.
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In general relativity, energy–momentum conservation is not well-defined except in certain special cases. Energy-momentum is typically expressed with the aid of a stress–energy–momentum pseudotensor. However, since pseudotensors are not tensors, they do not transform cleanly between reference frames. If the metric under consideration is static (that is, does not change with time) or asymptotically flat (that is, at an infinite distance away spacetime looks empty), then energy conservation holds without major pitfalls.
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In the extreme case where an object is an infinite distance away, , and , indicating that the object would be imaged to a single point in the focal plane. In fact, the diameter of the projected spot is not actually zero, since diffraction places a lower limit on the size of the point spread function. This is called the diffraction limit. Images of black letters in a thin convex lens of focal length f are shown in red.
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The resulting device is called a CEC (Compound Elliptical Concentrator). CPC A particular case of this design happens when the source S1S2 becomes infinitely large and moves to an infinite distance. Then the rays coming from S1 become parallel rays and the same for those coming from S2 and the elliptical mirrors e1 and e2 converge to parabolic mirrors p1 and p2. The resulting device is called a CPC (Compound Parabolic Concentrator), and shown in the "CPC" figure on the left.
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They also produce vast numbers of young and grow from birth to adult in under a year, as shown when the Tenth Doctor shows a year-old clip of San Helios before its Stingray infestation. They travel to other planets through wormholes created in the fabric of Spacetime by circling a planet faster and faster, and as each swarm can contain billions of giant stingrays, they rip a hole in space. Their wormholes can transport the whole swarm an infinite distance through space.
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Orthographic projection (equatorial aspect) of eastern hemisphere 30°W-150°E An orthographic projection map is a map projection of cartography. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective (or azimuthal) projection, in which the sphere is projected onto a tangent plane or secant plane. The point of perspective for the orthographic projection is at infinite distance. It depicts a hemisphere of the globe as it appears from outer space, where the horizon is a great circle.
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The energy of the nucleus is negative with regard to the energy of the particles pulled apart to infinite distance (just like the gravitational energy of planets of the solar system), because energy must be utilized to split a nucleus into its individual protons and neutrons. Mass spectrometers have measured the masses of nuclei, which are always less than the sum of the masses of protons and neutrons that form them, and the difference—by the formula E = m c2—gives the binding energy of the nucleus.
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Vertical photographs are often used to create orthophotos, alternatively known as orthophotomaps, photographs which have been geometrically "corrected" so as to be usable as a map. In other words, an orthophoto is a simulation of a photograph taken from an infinite distance, looking straight down to nadir. Perspective must obviously be removed, but variations in terrain should also be corrected for. Multiple geometric transformations are applied to the image, depending on the perspective and terrain corrections required on a particular part of the image.
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Item #6. Panoramic photographers often incorrectly refer to the entrance pupil as a nodal point, which is a different concept. Depending on the lens design, the entrance pupil location on the optical axis may be behind, within or in front of the lens system; and even at infinite distance from the lens in the case of telecentric systems. In photography, the size of the entrance pupil (rather than the size of the physical aperture itself) is used to calibrate the opening and closing of the diaphragm aperture.
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As mentioned above, a positive or converging lens in air focuses a collimated beam travelling along the lens axis to a spot (known as the focal point) at a distance f from the lens. Conversely, a point source of light placed at the focal point is converted into a collimated beam by the lens. These two cases are examples of image formation in lenses. In the former case, an object at an infinite distance (as represented by a collimated beam of waves) is focused to an image at the focal point of the lens.
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The equatorial coordinate system is centered at Earth's center, but fixed relative to the celestial poles and the March equinox. The coordinates are based on the location of stars relative to Earth's equator if it were projected out to an infinite distance. The equatorial describes the sky as seen from the Solar System, and modern star maps almost exclusively use equatorial coordinates. The equatorial system is the normal coordinate system for most professional and many amateur astronomers having an equatorial mount that follows the movement of the sky during the night.
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Inspiration was drawn from various Hollywood science-fiction, notably Star Wars, with the team wanting to create a cinematic-like presentation akin to those films. Thanks to Namco's early experimentation with 3D video games, such as Galaxian3, Winning Run and Solvalou, the team had little difficulty producing it. Starblade was initially a single-player version of Galaxian3: Project Dragoon. The arcade cabinet for the game used a large concave mirror, dubbed the "Infinite Distance Projection" system by Namco, which gave the effect of depth and a more open environment.
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An infinity transmitter (also known as a harmonica bug) is a surveillance device used to covertly monitor conversation in a room through a telephone line. Its name derives from the fact that, by using a telephone line as a transmitter, it can work at an infinite distance, unlike other bugging devices that have only a finite signal range. The alternative name 'harmonica bug' refers to the fact that such devices were originally activated using the tone produced by a harmonica. Design of infinity transmitters has varied, according to developments in telephone systems.
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Two main classes of solutions are known, namely plane waves and spherical waves. The plane waves may be viewed as the limiting case of spherical waves at a very large (ideally infinite) distance from the source. Both types of waves can have a waveform which is an arbitrary time function (so long as it is sufficiently differentiable to conform to the wave equation). As with any time function, this can be decomposed by means of Fourier analysis into its frequency spectrum, or individual sinusoidal components, each of which contains a single frequency, amplitude and phase.
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72 (1967), p.1324-6. albeit that the time unit of TDB, if measured by the hypothetical observer described above, at rest in the reference frame and at infinite distance, would be very slightly slower than the SI second (by 1 part in 1/LB = 1 part in 108/1.550519768).Scaling defined in IAU 2006 resolution 3. Geocentric Coordinate Time (TCG) is based on a reference frame comoving with the geocenter (the center of the Earth), and is defined in principle for use for calculations concerning phenomena on or in the region of the Earth, such as planetary rotation and satellite motions.
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The HJD correction involves the heliocentric position of the Earth, which is expressed in TT. While the practical choice may be UTC, the natural choice is TT. Since the Sun itself orbits around the barycentre of the Solar System, the HJD correction is not actually to a fixed reference. The difference between correction to the heliocentre and to the barycentre is up to ±4 s. For second accuracy, the Barycentric Julian Date (BJD) should be calculated instead of the HJD. The common formulation of the HJD correction assumes that the object is at infinite distance, certainly beyond the Solar System.
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When escaping a compound system, such as a moon orbiting a planet or a planet orbiting a sun, a rocket that leaves at escape velocity (v_{e1}) for the first (orbiting) body, (e.g. Earth) will not travel to an infinite distance because it needs an even higher speed to escape gravity of the second body (e.g. the Sun). Near the Earth, the rocket's trajectory will appear parabolic, but it will still be gravitationally bound to the second body and will enter an elliptical orbit around that body, with an orbital speed similar to the first body.
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When the lift coefficient is zero an airfoil is generating no lift but a reflex- cambered airfoil generates a nose-up pitching moment, so the location of the center of pressure is an infinite distance ahead of the airfoil. This direction of movement of the center of pressure on a reflex-cambered airfoil has a stabilising effect. The way the center of pressure moves as lift coefficient changes makes it difficult to use the center of pressure in the mathematical analysis of longitudinal static stability of an aircraft. For this reason, it is much simpler to use the aerodynamic center when carrying out a mathematical analysis.
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Cimön is permeated with the notion of infinity in its various guises: just getting there involves grappling with infinity, as Cimön is an infinite distance away from Earth. Felix and Kathy get there in their astral bodies by doubling their speed in half the time so that they asymptotically approach infinite speed at four hours. Eventually, at the speed of light, they turn into the eponymous "white light" and merge with Cimön. In this new world, Felix encounters famous scientists and mathematicians such as Albert Einstein and Georg Cantor, who all reside in a hotel that is based on Hilbert's paradox of the Grand Hotel.
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Martians fear that the Earth will use these to control all Martian Thinkers, and therefore cripple essential operations. While the tension between Earth and Mars builds, the Olympians, led by Charles Franklin, reveal to Casseia that they have the ability to instantly move anything an infinite distance, with the help of a QL Thinker. The ramifications of this become clear to Casseia and the leaders of the interim government immediately, but they so fear its power that they refuse to use it as anything but a last resort. Charles is convinced that “tweaking,” as the technique is called, is the solution, and orders a QL Thinker to speed up the process.
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The artist Kazimir Malevich (1878–1935), who wrote extensively on the aesthetics and philosophy of modern art, identified the aerial landscape (especially the "bird's-eye view", looking straight down, as opposed to an oblique angle) as a genuinely new and radicalizing paradigm in the art of the twentieth century. In his view, air travel, and more specifically, aerial photography had created this broad change in consciousness. The Italian Futurists were similarly fascinated with aerial views of landscapes. Unlike traditional landscapes, aerial landscapes often do not include any view of a horizon or sky, nor in such cases is there any recession of the view into an infinite distance.
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Methods of matched asymptotic expansions have been developed to find approximate solutions to the Smoluchowski convection-diffusion equation, which is a singularly perturbed second-order differential equation. The problem has been studied particularly in the context of colloid particles in linear flow fields, where the variable is given by the pair distribution function around a test particle. In the limit of low Péclet number, the convection-diffusion equation also presents a singularity at infinite distance (where normally the far-field boundary condition should be placed) due to the flow field being linear in the interparticle separation. This problem can be circumvented with a spatial Fourier transform as shown by Jan Dhont.
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Otherwise, depending on the speed of rotation and its direction, the center of rotation may fall anywhere on the line defined by the two contact points of the tires. While the robot is traveling in a straight line, the center of rotation is an infinite distance from the robot. Since the direction of the robot is dependent on the rate and direction of rotation of the two driven wheels, these quantities should be sensed and controlled precisely. A differentially steered robot is similar to the differential gears used in automobiles in that both the wheels can have different rates of rotations, but unlike the differential gearing system, a differentially steered system will have both the wheels powered.
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In physics (specifically, celestial mechanics), escape velocity is the minimum speed needed for a free, non-propelled object to escape from the gravitational influence of a massive body, that is, to achieve an infinite distance from it. Escape velocity is a function of the mass of the body and distance to the center of mass of the body. A rocket, continuously accelerated by its exhaust, need not reach ballistic escape velocity at any distance since it is supplied with additional kinetic energy by the expulsion of its reaction mass. It can achieve escape at any speed, given a suitable mode of propulsion and sufficient propellant to provide the accelerating force on the object to escape.
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The escape velocity from Earth's surface is about . More generally, escape velocity is the speed at which the sum of an object's kinetic energy and its gravitational potential energy is equal to zero;The gravitational potential energy is negative since gravity is an attractive force and the potential energy has been defined for this purpose to be zero at infinite distance from the centre of gravity. an object which has achieved escape velocity is neither on the surface, nor in a closed orbit (of any radius). With escape velocity in a direction pointing away from the ground of a massive body, the object will move away from the body, slowing forever and approaching, but never reaching, zero speed.
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The same result is obtained by a relativistic calculation, in which case the variable r represents the radial coordinate or reduced circumference of the Schwarzschild metric. Sample chapter, page 2-22 Defined a little more formally, "escape velocity" is the initial speed required to go from an initial point in a gravitational potential field to infinity and end at infinity with a residual speed of zero, without any additional acceleration. All speeds and velocities are measured with respect to the field. Additionally, the escape velocity at a point in space is equal to the speed that an object would have if it started at rest from an infinite distance and was pulled by gravity to that point.
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It is as placid > and delightful as that is wild and tremendous. For the mountains being > cloven asunder, she presents to your eye, through the cleft, a small catch > of smooth blue horizon, at an infinite distance in that plain country, > inviting you, as it were, from the riot and tumult roaring around to pass > through the breach and participate in the calm below. Here the eye > ultimately composes itself; and that way, too, the road happens actually to > lead. You cross the Potomac above the junction, pass along its side through > the base of the mountain for three miles, the terrible precipice hanging in > fragments over you, and within about 20 miles reach Frederic-town and the > fine country around that.
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Example of a texture that can be mapped to the faces of a cubic skybox, with faces labelled Perhaps the most advanced application of cube mapping is to create pre-rendered panoramic sky images which are then rendered by the graphical engine as faces of a cube at practically infinite distance with the view point located in the center of the cube. The perspective projection of the cube faces done by the graphics engine undoes the effects of projecting the environment to create the cube map, so that the observer experiences an illusion of being surrounded by the scene which was used to generate the skybox. This technique has found a widespread use in video games since it allows designers to add complex (albeit not explorable) environments to a game at almost no performance cost.
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'Aquila' is a liferaft from a larger ship, built by the Yrrillians from the planet Deneb. The ship can fly an almost infinite distance, and can fly in space without the need for crew spacesuits, but, due to damage sustained to the 'Oxygen Regeneration' system before Aquila was unearthed, the air inside the ship would only last for 6 hours which was featured in one of the episodes of the television series. Some other abilities of the ship include invisibility, a form of verbal remote control, lasers, a holographic interface and the Core Defence Wave Gun (capable of passing out everything in a 300 coleymort (a Yrrillian measurement, which the boys initially mistake for centimetres, equivalent to 0.362 meters) radius). Aquila can be programmed to execute basic manoeuvres from the detection of certain signals.
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In 1867, Sutton and Dawson defined "apertal ratio" as essentially the reciprocal of the modern f-number. In the following quote, an "apertal ratio" of "" is calculated as the ratio of to , corresponding to an f-stop: > In every lens there is, corresponding to a given apertal ratio (that is, the > ratio of the diameter of the stop to the focal length), a certain distance > of a near object from it, between which and infinity all objects are in > equally good focus. For instance, in a single view lens of 6-inch focus, > with a in. stop (apertal ratio one-twenty-fourth), all objects situated at > distances lying between 20 feet from the lens and an infinite distance from > it (a fixed star, for instance) are in equally good focus.
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The electric potential at any point is defined as the energy required to bring a unit test charge from an infinite distance slowly to that point. It is usually measured in volts, and one volt is the potential for which one joule of work must be expended to bring a charge of one coulomb from infinity. This definition of potential, while formal, has little practical application, and a more useful concept is that of electric potential difference, and is the energy required to move a unit charge between two specified points. An electric field has the special property that it is conservative, which means that the path taken by the test charge is irrelevant: all paths between two specified points expend the same energy, and thus a unique value for potential difference may be stated.
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"The early bird catches the worm" Stereograph published in 1900 by North-Western View Co. of Baraboo, Wisconsin, digitally restored. Traditional stereoscopic photography consists of creating a 3D illusion starting from a pair of 2D images, a stereogram. The easiest way to enhance depth perception in the brain is to provide the eyes of the viewer with two different images, representing two perspectives of the same object, with a minor deviation exactly equal to the perspectives that both eyes naturally receive in binocular vision. If eyestrain and distortion are to be avoided, each of the two 2D images preferably should be presented to each eye of the viewer so that any object at infinite distance seen by the viewer should be perceived by that eye while it is oriented straight ahead, the viewer's eyes being neither crossed nor diverging.
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On a cambered airfoil the center of pressure does not occupy a fixed location.Clancy, L.J., Aerodynamics, Section 5.6 For a conventionally cambered airfoil, the center of pressure lies a little behind the quarter-chord point at maximum lift coefficient (large angle of attack), but as lift coefficient reduces (angle of attack reduces) the center of pressure moves toward the rear.Clancy, L.J., Aerodynamics, Section 5.11 When the lift coefficient is zero an airfoil is generating no lift but a conventionally cambered airfoil generates a nose-down pitching moment, so the location of the center of pressure is an infinite distance behind the airfoil. For a reflex-cambered airfoil, the center of pressure lies a little ahead of the quarter-chord point at maximum lift coefficient (large angle of attack), but as lift coefficient reduces (angle of attack reduces) the center of pressure moves forward.
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The problem arises because lift on an airfoil in inviscid flow requires circulation in the flow around the airfoil (See "Circulation and the Kutta–Joukowski theorem" below), but a single potential function that is continuous throughout the domain around the airfoil cannot represent a flow with nonzero circulation. The solution to this problem is to introduce a branch cut, a curve or line from some point on the airfoil surface out to infinite distance, and to allow a jump in the value of the potential across the cut. The jump in the potential imposes circulation in the flow equal to the potential jump and thus allows nonzero circulation to be represented. However, the potential jump is a free parameter that is not determined by the potential equation or the other boundary conditions, and the solution is thus indeterminate.
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