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Page "Statics" ¶ 23
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position and point
Everyone is more or less sceptical and virtually no one has been willing to accept Lappenberg or Kemble's position on that point.
`` A better position for negotiations is the real point of this speech.
The effect is that the platform returns from an off-level position at a rapid rate until it is nearly level, at which point the platform is controlled by a proportional servo with low enough frequency response so that the noise has little effect on the leveling process.
In astronomy, a given point on the celestial sphere ( that is, the apparent position of an astronomical object ) can be identified using any of several astronomical coordinate systems, where the references vary according to the particular system.
Max Born suggested that the electron's position needed to be described by a probability distribution which was connected with finding the electron at some point in the wave-function which described its associated wave packet.
The most common coordinate system to use is the Cartesian coordinate system, where each point has an x-coordinate representing its horizontal position, and a y-coordinate representing its vertical position.
Since the maximum aperture of the pencils issuing from O is the angle u subtended by the entrance pupil at this point, the magnitude of the aberration will be determined by the position and diameter of the entrance pupil.
For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is
where R < sub > i </ sub > is the position vector of particle i from the reference point, m < sub > i </ sub > is its mass, and V < sub > i </ sub > is its velocity.
Angular momenta of a classical object .< p > Left: intrinsic " spin " angular momentum S is really orbital angular momentum of the object at every point ,</ p >< p > right: extrinsic orbital angular momentum L about an axis ,</ p >< p > top: the moment of inertia tensor | moment of inertia tensor I and angular velocity ω ( L is not always parallel to ω )</ p >< p > bottom: momentum p and it's radial position r from the axis .</ p > The total angular momentum ( spin + orbital ) is J.
Visualisation of data obtained from an atom probe, each point represents a reconstructed atom position from detected evaporated ions.
The The numbering continues clockwise from position one until the β-carbon of β-lactam is reached, at which point numbering continues counterclockwise around the lactam ring to number the remaining to carbons.
The Hilbert space of a spin-0 point particle is spanned by a " position basis ", where the label r extends over the set of all points in space.
Since the Persian force obviously contained a high proportion of missile troops, a static defensive position would have made little sense for the Athenians ; the strength of the hoplite was in the melee, and the sooner that could be brought about, the better, from the Athenian point of view.
Bistability as applied in the design of mechanical systems is more commonly said to be " over centre " -- that is, work is done on the system to move it just past the peak, at which point the mechanism goes " over centre " to its secondary stable position.
It is not a vector field because it depends not only on the position of a particular material point, but also on the local orientation of the surface element as defined by its normal vector.
* Computational studies can be carried out to find a starting point for a laboratory synthesis, or to assist in understanding experimental data, such as the position and source of spectroscopic peaks.
Let r ( t ) be a vector that describes the position of a point mass as a function of time.
One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes ( or, equivalently, by its perpendicular projection onto three mutually perpendicular lines ).
A point in space in a Cartesian coordinate system may also be represented by a position vector, which can be thought of as an arrow pointing from the origin of the coordinate system to the point.
If the divergence is nonzero at some point then there must be a source or sink at that position.
In the limit of an infinitesimal volume the density of an inhomogeneous object at a point becomes:, where is an elementary volume at position.
slot position :: < point >, required-init-keyword: position :;

position and relative
Math., 1858 ) and Ernst Abbe showed that the properties of these reproductions, i. e. the relative position and magnitude of the images, are not special properties of optical systems, but necessary consequences of the supposition ( in Abbe ) of the reproduction of all points of a space in image points ( Maxwell assumes a less general hypothesis ), and are independent of the manner in which the reproduction is effected.
where r is the position vector of the particle relative to the origin, p is the linear momentum of the particle, and × denotes the cross product.
About 90 % of women's breasts are asymmetrical to some degree, either in size, volume, or relative position upon the chest.
Plastic surgeons categorize ptosis by evaluating the position of the nipple relative to the inframammary crease ( where the underside of the breast meets the chest wall ).
However the loss of Culloden, the relative sizes of Orient and Leander and the participation in the action by two of the French frigates and several smaller vessels, as well as the theoretical strength of the French position, leads most historians to the conclusion that the French were marginally more powerful.
Alternative notations include C ( n, k ), < sub > n </ sub > C < sub > k </ sub >, < sup > n </ sup > C < sub > k </ sub >, C < sup > k </ sup >< sub style =" position: relative ; left :-. 5em ;"> n </ sub >, C < sup > n </ sup >< sub style =" position: relative ; left :-. 5em ;"> k </ sub >, in all of which the C stands for combinations or choices.
A contrasting position was taken by Ernst Mach, who contended that all motion was relative.
Note the position of the hydroxyl group ( red or green ) on the anomeric carbon relative to the CH < sub > 2 </ sub > OH group bound to carbon 5: they are either on the opposite sides ( α ), or the same side ( β ).
After Parilli was hurt, relative unknown Tommy O ' Connell took up the position for the remainder of the season.
When the pre-image ( a wireframe sketch usually ) is complete, rendering is used, which adds in bitmap textures or procedural textures, lights, bump mapping and relative position to other objects.
By treating the extra acceleration terms due to the rotation of the frame as if they were forces, subtracting them from the physical forces, it's possible to treat the second time derivative of position ( relative to the rotating frame ) as absolute acceleration.
If the orientation of the tangent relative to some starting position is θ ( s ), then ρ ( s ) is defined by the derivative dθ / ds:
volume ) and its position in time ( perceived as a scalar dimension along the t-axis ), as well as the spatial constitution of objects within — structures that correlate with both particle and field conceptions, interact according to relative properties of mass — and are fundamentally mathematical in description.
The Indian and African plates ' motions have also been shown to be coupled, with the common element being the position of these plates relative to the location of the Réunion plume head.
Earth's rate of rotation must be integrated to obtain time, which is Earth's angular position ( specifically, the orientation of the meridian of Greenwich relative to the fictitious mean sun ).
Thus a spacecraft can determine its relative position by tracking such asteroids across the star background, which appears fixed over such timescales.
The Autonav system can also be used in reverse, tracking the position of bodies relative to the spacecraft.
In July 1939 Mountbatten was granted a patent ( UK Number 508, 956 ) for a system for maintaining a warship in a fixed position relative to another ship.
In these cases, the position has been filled by a female relative or friend of the president, such as Martha Jefferson Randolph during Jefferson's presidency, Emily Donelson and Sarah Yorke Jackson during Jackson's, Mary Elizabeth ( Taylor ) Bliss during Taylor's, Mary Harrison McKee during Harrison's presidency, upon her mother's death, and Harriet Lane during Buchanan's.
The egg reference, however, was rather meant to clarify the relative position of the flat earth to the heavens:
Structures may be fixed in place in the seabed — as in piers, jettys, or fixed-bottom wind turbines — or may be floating structures anchored to remain in a sea-surface position that remain roughly fixed relative to its geotechnical anchor point.
Grappling refers to techniques, maneuvers, and counters applied to an opponent in order to gain a physical advantage, such as improving relative position, escaping, submitting, or injury to the opponent.

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