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These and coordinates
These are graphs of ψ ( x, y, z ) functions which depend on the coordinates of one electron.
These work by using the game client library to calculate an enemy player's 2D coordinates from 3D space and automatically moving the player's mouse to the enemy target.
These polar unit vectors can be expressed in terms of Cartesian unit vectors in the x and y directions, denoted i and j respectively :< ref > Note: unlike the Cartesian unit vectors i and j, which are constant, in polar coordinates the direction of the unit vectors u < sub > r </ sub > and u < sub > θ </ sub > depend on θ, and so in general have non-zero time derivatives .</ ref >
These coordinates are a very special example of a more general concept of local coordinates from the theory of differential forms.
These are often numbered from 1st to 4th and denoted by Roman numerals: I ( where the signs of the two coordinates are I (+,+), II (−,+), III (−,−), and IV (+,−).
These vector fields each have a value defined at every point of space and time and are thus often regarded as functions of the space and time coordinates.
These coordinates, along with other details of the location, are posted on a listing site ( see list of some sites below ).
These would establish scaling factors from world coordinates to device coordinates, and translate to the low level device commands.
These solutions yield good rational approximations of the form x / y to the square root of n. In Cartesian coordinates, the equation has the form of a hyperbola ; it can be seen that solutions occur where the curve has integral ( x, y ) coordinates.
These numbers are the coordinates of the endpoint of the vector, with respect to a given Cartesian coordinate system, and are typically called the scalar components ( or scalar projections ) of the vector on the axes of the coordinate system.
These contain pages of " drill charts ", which often either give a picture or list coordinates that band members use to find ' pages ' or ' sets ' on the field.
These basic values are modified by other factors such as the position of the pieces ( e. g. advanced pawns are usually more valuable than those on their starting squares ), coordination between pieces ( e. g. a bishop pair usually coordinates better than a bishop plus a knight ), and the type of position ( knights are generally better in closed positions with many pawns, while bishops are more powerful in open positions ).
These two pieces of information can be represented as a 2-dimensional vector, as a complex number, or as magnitude ( amplitude ) and phase in polar coordinates.
These coordinates are just as canonical as x, p, but the orbits are now lines of constant J instead of nested ovoids in x-p space.
These homogeneous transforms perform rigid transformations on the points in the plane z = 1, that is on points with coordinates p =( x, y, 1 ).
These field quantities are functions defined over a four-dimensional space whose points are labeled by coordinates x < sup > μ </ sup > where the index μ ranges over time ( μ =
These four coordinates are the independent variables ; and the values of the fields at each event are the dependent variables.
These vertices are usually defined by X, Y, and Z coordinates, and typically are intended to be representative of the external surface of an object.
These coordinates indicated he was on the Kosovo = Albania border, which was a sealed border at the time.
These coordinates ( and velocities ) are, in their turn, parametric functions of time.

These and are
These are just another couple of characters to roll.
These men are not callous.
These things are important to almost all Persians and perhaps most important to the most ordinary.
These are traversed by another line of vaults, and thus rooms, arched on all four sides, are formed.
These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.
These are not, however, differences in federal structure.
These my grandmother left in their places ( they are still there, more persistent and longer-lived than the generations of man ) and planted others like them, that flourished without careful tending.
These are like the initial ways in which the world forces itself upon the self and thrusts the self into decision and choice.
These are suggestive of Selma Lagerlof.
These assumptions lead to an organization with one man at the top, six directly under him, six under each of these, and so on until there are six levels of personnel.
These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.
These responses are explicable in terms of characteristics inherent in the crisis.
These discoveries are of present interest chiefly to the scientific community ; ;
These are personality factors ; ;
These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.
These moments are historical events in the lives of individual authors with which the student of comparative literature must be frequently concerned.
These lives are in themselves outside of the moral order and are unburdened with moral responsibility.
These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.
These biographical analogies are obvious, and far too much time has been spent speculating on their possible implications.
These women whose organization grew out of the old suffrage movement are dedicated to Thomas Jefferson's dictum that one must cherish the people's spirit but `` Keep alive their attention ''.
These are, of course, the same people whose support he has only now rejected to seek the independent vote.
These are New York, Pennsylvania, Michigan, Maryland, Missouri, New Jersey, Illinois and Minnesota.
These men are spenders.

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