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Harmonic coordinates. In Riemannian geometry, a branch of mathematics, harmonic coordinates are a certain kind of coordinate chart on a smooth manifold, determined by a Riemannian metric on the manifold. They are useful in many problems of geometric analysis due to their regularity properties. In two dimensions, certain harmonic coordinates ...
HCMUT is considered one of the largest and most prestigious technical universities in Vietnam, affiliated with Vietnam National University, Ho Chi Minh City. It is classified in the group of national key universities. The predecessor of HCMUT was the National Technical Center, established in 1957. On October 27, 1976, Prime Minister Pham Van ...
Geographic coordinate conversion has applications in cartography, surveying, navigation and geographic information systems . In geodesy, geographic coordinate conversion is defined as translation among different coordinate formats or map projections all referenced to the same geodetic datum. [1] A geographic coordinate transformation is a ...
As φ has a range of 360° the same considerations as in polar (2 dimensional) coordinates apply whenever an arctangent of it is taken. θ has a range of 180°, running from 0° to 180°, and does not pose any problem when calculated from an arccosine, but beware for an arctangent. If, in the alternative definition, θ is chosen to run from − ...
History. Ho Chi Minh City University of Technology and Education (HCMUTE) is the first university in Vietnam educating and training technical teachers for the whole country. Chronologically, HCMUTE has been renamed several times due to integration with other schools or its own promotion. The university evolved from the Board of Technical ...
Harmonic map. In the mathematical field of differential geometry, a smooth map between Riemannian manifolds is called harmonic if its coordinate representatives satisfy a certain nonlinear partial differential equation. This partial differential equation for a mapping also arises as the Euler-Lagrange equation of a functional called the ...
Circumcircle. In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius is called the circumradius. The circumcenter is the point of intersection between the three perpendicular bisectors of the ...
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