Trilinear coordinates are given by

Trilinear coordinates for the vertices of the orthic triangle are given by

Trilinear coordinates for the vertices of the tangential triangle are given by

* Trilinear coordinates for the nine-point center are cos ( B − C ): cos ( C − A ): cos ( A − B )

* Trilinear coordinates for the Feuerbach point are 1 − cos ( B − C ): 1 − cos ( C − A ): 1 − cos ( A − B )

* Trilinear coordinates for the center of the Kiepert hyperbola are ( b < sup > 2 </ sup > − c < sup > 2 </ sup >)< sup > 2 </ sup >/ a: ( c < sup > 2 </ sup > − a < sup > 2 </ sup >)< sup > 2 </ sup >/ b: ( a < sup > 2 </ sup > − b < sup > 2 </ sup >)< sup > 2 </ sup >/ c

Trilinear coordinates for the vertices of the intouch triangle are given by

Trilinear coordinates for the vertices of the extouch triangle are given by

Trilinear coordinates for the vertices of the incentral triangle are given by

Trilinear coordinates for the vertices of the excentral triangle are given by

Trilinear coordinates for the Gergonne point are given by

Trilinear coordinates for the Nagel point are given by

Trilinear coordinates for the incenter are given by

Trilinear coordinates for the Schiffler point are

* Trilinear coordinates for the first isogonic center, X ( 13 ):

* Trilinear coordinates for the second isogonic center, X ( 14 ):

* Trilinear coordinates for the Fermat point:

The Farm Credit Administration, an independent agency located within the Department of Agriculture, supervises and coordinates a cooperative credit system for agriculture.

Alternatively, atomic orbitals refer to functions that depend on the coordinates of one electron ( i. e. orbitals ) but are used as starting points for approximating wave functions that depend on the simultaneous coordinates of all the electrons in an atom or molecule.

The coordinate systems chosen for atomic orbitals are usually spherical coordinates ( r, θ, φ ) in atoms and cartesians ( x, y, z ) in poly-atomic molecules.

The advantage of spherical coordinates ( for atoms ) is that an orbital wave function is a product of three factors each dependent on a single coordinate: ψ ( r, θ, φ ) = R ( r ) Θ ( θ ) Φ ( φ ).

In terms of components, these three equations for the conservation of momentum in cylindrical coordinates are

The equation for the conservation of mass can similarly be written in cylindrical coordinates as

Unlike McCaffrey's black crystal transceivers, Le Guin's ansibles are not mated pairs: it is possible for an ansible's coordinates to be set to any known location of a receiving ansible.

This system can also be used for three-dimensional geometry, where every point in Euclidean space is represented by an ordered triple of coordinates ( x, y, z ).

In analytic geometry, any equation involving the coordinates specifies a subset of the plane, namely the solution set for the equation.

In 1924, Arthur Eddington showed that the singularity disappeared after a change of coordinates ( see Eddington – Finkelstein coordinates ), although it took until 1933 for Georges Lemaître to realize that this meant the singularity at the Schwarzschild radius was an unphysical coordinate singularity.

* Solutions to the radial Schrödinger equation ( in spherical and cylindrical coordinates ) for a free particle

For example, " UQJHSE " could be the code for " Proceed to the following coordinates ".

Edward M. Stolper is the Institute's ninth provost and is responsible for academic budget, faculty appointments and promotions, and coordinates curriculum.

One description for motion is made in terms of the material or referential coordinates, called material description or Lagrangian description.

The determination of molecular structure by geometry optimization became routine only after efficient methods for calculating the first derivatives of the energy with respect to all atomic coordinates became available.

In practice, the above definition is rarely used because in virtually all cases, the curl operator can be applied using some set of curvilinear coordinates, for which simpler representations have been derived.

If certain coordinate systems are used, for instance, polar-toroidal coordinates ( common in plasma physics ) using the notation ∇ × F will yield an incorrect result.

Expanded in Cartesian coordinates ( see: Del in cylindrical and spherical coordinates for spherical and cylindrical coordinate representations ), ∇× F is, for F composed of F < sub > y </ sub >, F < sub > z </ sub >:

This person makes the IC initial assessment of the scene and determines the appropriate course of action for team members ; assumes role of Safety Officer until assigned to another team member ; assigns team member roles if not already assigned ; designates triage area, treatment area, morgue, and vehicle traffic routes ; coordinates and directs team operations ; determines logistical needs ( water, food, medical supplies, transportation, equipment, and so on.

The Party's United Front Work Department coordinates with the State Administration for Religious Affairs to manage the country's five officially sanctioned religions.

Using these coordinates, the motion along the path is viewed as a succession of circular paths of ever-changing center, and at each position s constitutes non-uniform circular motion at that position with radius ρ.

The equation of a circle is ( x − a )< sup > 2 </ sup > + ( y − b )< sup > 2 </ sup > = r < sup > 2 </ sup > where a and b are the coordinates of the center ( a, b ) and r is the radius.

Here are the point coordinates in the canonical system, whose origin is the center of the ellipse, whose-axis is the unit vector coinciding with the major axis, and whose-axis is the perpendicular vector coinciding with the minor axis.

Polar coordinates centered at the center.

In polar coordinates, with the origin at the center of the ellipse and with the angular coordinate measured from the major axis, the ellipse's equation is

< http :// www. chm. bris. ac. uk / motm / hemoglobin / hemoglobjm. htm >.</ ref > The iron ion, which is the site of oxygen binding, coordinates with the four nitrogens in the center of the ring, which all lie in one plane.

This understanding is particularly useful for mathematical analysis, because the object's motion can be described as the sum of the three one-dimensional coordinates oscillating around a gravitational center.

To analyze the motion of a body moving under the influence of a force which is always directed towards a fixed point, it is convenient to use polar coordinates with the origin coinciding with the center of force.

The boundaries of many large features ( such as terrae, regiones, planitiae and plana ) are not topographically or geomorphically distinct ; the coordinates of these features are identified from an arbitrarily chosen center point.

In coordinates, a 3-sphere with center ( C < sub > 0 </ sub >, C < sub > 1 </ sub >, C < sub > 2 </ sub >, C < sub > 3 </ sub >) and radius r is the set of all points ( x < sub > 0 </ sub >, x < sub > 1 </ sub >, x < sub > 2 </ sub >, x < sub > 3 </ sub >) in real, 4-dimensional space ( R < sup > 4 </ sup >) such that

It may be implemented in spherical or rectangular coordinates, both defined by an origin at the center of the Earth, a fundamental plane consisting of the projection of the Earth's equator onto the celestial sphere ( forming the celestial equator ), a primary direction towards the vernal equinox, and a right-handed convention.

The galactic coordinate system is a celestial coordinate system in spherical coordinates, with the Sun as its center, a primary direction aligned with the approximate center of the Milky Way galaxy, and a fundamental plane approximately in the galactic plane.

This means Arc Absolute, and the parameters place the center of the arc at absolute coordinates 100, 100 on the page, with a starting angle of 50 degrees measured counter-clockwise.

: C, F are translation terms: x, y map coordinates of the center of the upper-left pixel

Since reference datums can have different radii and different center points, a specific point on the earth can have substantially different coordinates depending on the datum used to make the measurement.

External coordinates are the position of the center of mass and the orientation of the molecule.

It landed on November 10, 1967, in Sinus Medii, 0. 49 deg in latitude and 1. 40 deg w longitude ( selenographic coordinates )-the center of the moon's visible hemisphere.

Designated the primary center for U. S. space missions and systems involving astronauts, it coordinates and monitors crewed missions through the Mission Control Center.

The homothetic center ( which is a triangle center if and only if P is a triangle center ) is the point given in trilinear coordinates by