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Page "Cartesian coordinate system" ¶ 13
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point and where
One of the early humorists already mentioned, Thomas Bangs Thorpe, can be used to illustrate another point where Faulkner touches authentic Southern materials and also earlier literary treatment of those materials.
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.
While the picture was taken, Mr. Miller's disposition to be generous to Mr. Sandburg increased to the point where he advised, ' I won't even charge you the one dollar rental fee ' ''.
On the other hand, it is no interference with sovereignty to point out defects where they exist, such as that a plan calls for factories without power to run them, or for institutions without trained personnel to staff them.
In still others which are barely on the threshold of the transition into modernity, the decade can bring significant progress in launching the slow process of developing their human resources and their basic services to the point where an expanded range of developmental activities is possible.
This tied in closely with the current attempt to upgrade state-owned cars to the extent that vehicles are not retained beyond the point where maintenance costs ( in light of depreciation ) become excessive.
conduct engineering research and technical development work to determine, by laboratory and pilot plant testing, the results of the research and studies aforesaid in order to develop processes and plant designs to the point where they can be demonstrated on a large and practical scale ; ;
The extent of such interference -- which may be so slight as to be undetectable at any point where either of the stations renders a usable signal, or may be so great as to virtually destroy the service areas of both stations -- depends on many factors, among the principal ones being the distance between the stations, their respective radiated power, and, of particular significance here, the time of day.
By this standard, it is determined that where two stations operating on the same frequency are involved, objectionable interference from station A exists at any point within the service area of station B where station A's signal is of an intensity one-twentieth or more of the strength of station B's signal at that point.
during the same period around sunrise, skywave transmission is declining, until at about 2 hours after sunrise it reaches a point where it becomes of little practical significance.
Now, the machine has been improved to a point where it is generally more economical than oil heat at temperatures down to 15 degrees.
In some neighborhood of an isolated tangent point in the f-plane, say Af, the function Af is either double-valued or has no values defined, except at the tangent point itself, where it is single-valued.
they had also had to generalize it -- to the point, finally, where the illusion of depth and relief became abstracted from specific three-dimensional entities and was rendered largely as the illusion of depth and relief as such: as a disembodied attribute and expropriated property detached from everything not itself.
where, of Costaggini, only some foliage has been washed, at the point where his work stopped.
For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.
At the point where they ended, another settlement grew up around a chapel built at the boat landing by Father Lucian Galtier in 1840.
my point is that where conflicts arise they must always be resolved in favor of achieving the indispensable condition for a tolerant world -- the absence of Soviet Communist power.
From that point on he said he went to the post office and then walked leisurely to where his niece was staying, more than a mile away.
For two hours they drove her from one strong point to another along the side of the Reef, trying to maneuver her onto the plain where they could get a good throw.

point and axes
A complex number is a constructible number if its corresponding point in the Euclidean plane is constructible from the usual x-and y-coordinate axes.
The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.
The point where the axes meet is the common origin of the two number lines and is simply called the origin.
The coordinates of a point p are obtained by drawing a line through p perpendicular to each coordinate axis, and reading the points where these lines meet the axes as three numbers of these number lines.
Alternatively, the coordinates of a point p can also be taken as the ( signed ) distances from p to the three planes defined by the three axes.
In that case, each coordinate is obtained by projecting the point onto one axis along a direction that is parallel to the other axis ( or, in general, to the hyperplane defined by all the other axes ).
These, or other axes, may be referenced to uniquely identify a point or structure in its attitude and relationship to other objects and occurrences.
If multiple symmetry axes are present, they will necessarily intersect at a single point, and this is usually taken to be the center.
Spherical mechanisms are constructed by connecting links with hinged joints such that the axes of each hinge passes through the same point.
** The point of intersection of the axes in the Cartesian coordinate system
* dihedral groups D < sub > 1 </ sub >, D < sub > 2 </ sub >, D < sub > 3 </ sub >, D < sub > 4 </ sub >,... where D < sub > n </ sub > ( of order 2n ) consists of the rotations in C < sub > n </ sub > together with reflections in n axes that pass through the fixed point.
The rotor simultaneously spins about one axis and is capable of oscillating about the two other axes, and, thus, except for its inherent resistance due to rotor spin, it is free to turn in any direction about the fixed point.
By inclining the axes of the two spheres with respect to each other, and rotating them in opposite directions but with equal periods, Eudoxus could make a point on the inner sphere trace out a figure-eight shape, or hippopede.
* Cylindrical coordinate system represents a point in three-space using two perpendicular axes ; distance is measured along one axis, while the other axis formes the reference line for a polar coordinate representation of the remaining two components.
At an obliquity of 0 °, the axes point in the same direction.
* Number of axes – two axes are required to reach any point in a plane ; three axes are required to reach any point in space.
This is a wrist about which the three axes of the wrist, controlling yaw, pitch, and roll, all pass through a common point.
* A radar chart or " spider chart " is a two-dimensional chart of three or more quantitative variables represented on axes starting from the same point.
Some historians point to pre-Roman settlement here and Bronze Age axes have been discovered in the town ( now in display in the Potteries Museum in Stoke-on-Trent ).

point and meet
It is seen ( ignoring exceptional cases ) that the pencil does not meet the refracting or reflecting surface at right angles ; therefore it is astigmatic ( Gr. a -, privative, stigmia, a point ).
To guarantee smoothness, the control point at which two curves meet must be on the line between the two control points on either side.
At Phnom Penh four major water courses meet at a point called the Chattomukh ( Four Faces ).
The highest point is just east of where Connecticut, Massachusetts, and New York meet ( 42 ° 3 ' N ; 73 ° 29 ' W ), on the southern slope of Mount Frissell, whose peak lies nearby in Massachusetts.
Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair ( 0, 0 ).
For a given point P, a line is drawn through P perpendicular to the x-axis to meet it at X and second line is drawn through P perpendicular to the y-axis to meet it at Y.
In classical geometry, the tangent line to the graph of the function f at a real number a was the unique line through the point ( a, f ( a )) that did not meet the graph of f transversally, meaning that the line did not pass straight through the graph.
Upon hearing Abbott in a concert in Toledo, Kellogg made it a point to meet her and encourage her to pursue an opera career and gave her a letter of introduction.
A point where lines connect to other lines is an interaction vertex, and this is where the particles meet and interact: by emitting or absorbing new particles, deflecting one another, or changing type.
The renormalization group running of the three gauge couplings in the Standard Model has been found to nearly, but not quite, meet at the same point if the hypercharge is normalized so that it is consistent with SU ( 5 ) or SO ( 10 ) GUTs, which are precisely the GUT groups which lead to a simple fermion unification.
Joe Namath and Johnny Unitas were the focal point of the rivalry at its beginning, but they did not meet for a full game until September 24, 1972.
He also assumed that if a straight line is extended to infinity it will meet itself at a single point at infinity, thus having the properties of a large circle.
As a result, it allows for a triple critical point where the nematic, isotropic, and smectic A phase meet.
A lesser mountain chain, the Serranía de Mbaracayú, also rises at the point where the Cordillera de Amambay and Cordillera de Mbaracayú meet.
If two interacting waves meet at a point where they are in antiphase, then destructive interference will occur.
This requirement is occasionally hard to meet because users may delete or stop sharing data at any point.
Turkey's highest peak, Mount Ararat ( Ağrı Dağı ) — 5, 137 meters high — is situated near the point where the boundaries of the four countries meet.
The exhaust is, however, relatively low in NOx emissions, as combustion temperatures are lower than in other engines, and also because of some inherent Exhaust Gas Recirculation-EGR-in early engines ; the higher the combustion temperature is, the higher the NOx emissions are ( sir Harry Ricardo proved in the 20's that for every 1 % increase of the proportion of exhaust gas in the admission mix, there's a 45º F reduction in flame temperature ); this allowed Mazda to meet the United States Clean Air Act of 1970 in 1973 with a simple and inexpensive ' thermal reactor ' ( an enlarged open chamber in the exhaust manifold ) by paradoxically enriching the air-fuel ratio to the point where the unburned hydrocarbons ( HC ) in the exhaust would support complete combustion in the thermal reactor ; while piston-engine cars required expensive catalytic converters to deal with both unburned hydrocarbons and NOx emissions.
If continued the line will meet the starting point and will be double the length of the original strip.
A rigid coupling may also be added between shafts to reduce shock and wear at the point where the shafts meet.
It is sometimes taken to be the point in the filter response where a transition band and passband meet, for example as defined by a 3 dB corner, a frequency for which the output of the circuit is − 3 dB of the nominal passband value.

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