In this paper a mathematical expression of light rays for habitual use in four dimensionalspace is introduced,and a method for determining the space shadow of basic geometric elementsof projective space in four dimensional descriptive geometry with tetrahedral projection and theshadow on the projective planes.
Using these equations of motion, we investigate some classical gravitational effects in dilaton spacetime, such as the bending of light rays, the perihelion advance of planet, the delay of radar echo, and the redshifts.
The Calderón reproducing formula, windowed X-ray transforms, and radon transforms in LP-spaces
The case k=1, μ∈? corresponds to the exponential X-ray transform arising in single photon emission tomography.
Here, we report using the estrogen receptor that the location of drugs in x-ray crystal structures of the receptors matches closely their predicted spatial locations in the DNA.
Different from rational quadratic Bézier curves, the value is generally related with the location of the ray, and the necessary and sufficient condition of the ratio being independent of the ray's location is showed.
one vertex, the points that the ray from the initial vertex intersects respectively with the curve segment, the line connecting the segments end points, and the line connecting the two neighboring vertexes.