If, in an unsharp image, a patch of light corresponds to an object point, the center of gravity of the patch may be regarded as the image point, this being the point where the plane receiving the image, e. g., a focusing screen, intersects the ray passing through the middle of the stop.

If there is little rearrangement of radiosity objects in the scene, the same radiosity data may be reused for a number of frames, making radiosity an effective way to improve on the flatness of ray casting, without seriously impacting the overall rendering time-per-frame.

If a ray tracing is then made as if a light wave ( as understood in classical physics ) is wide enough to take both paths, then that ray tracing will accurately predict the appearance of maxima and minima on the detector screen when many particles pass through the apparatus and gradually " paint " the expected interference pattern.

If a mathematical surface can be intersected by a ray, it can be rendered using ray casting.

If the surface at this point faces a light, a ray ( to the computer, a line segment ) is traced between this intersection point and the light.

If the quantity under the square root ( the discriminant ) is negative, then the ray does not intersect the sphere.

* If θ < θ < sub > c </ sub >, the ray will split.

* If θ > θ < sub > c </ sub >, the entire ray reflects from the boundary.

If the incident ray is precisely at the critical angle, the refracted ray is tangent to the boundary at the point of incidence.

If a plane wave, confined to the xz plane, is incident on a dielectric with an angle and wavevector then a transmitted ray will be created with a corresponding angle of transmittance as shown in Fig.

If the lost " recoil energy " is small compared with the energy linewidth of the nuclear transition, then the gamma ray energy still corresponds to the energy of the nuclear transition, and the gamma ray can be absorbed by a second atom of the same type as the first.

If the air near the ground is warmer than that higher up, the light ray bends in a concave, upward trajectory.

* In optics, Hero formulated the Principle of the Shortest Path of Light: If a ray of light propagates from point A to point B within the same medium, the path-length followed is the shortest possible.

If two points are on the same ray in the plane, their distance is defined as the Euclidean distance.

If the ray of light strikes a surface lower than this angle, it will leave the gem material instead of reflecting through the gem as brilliance.

If a mathematical surface can be intersected by a ray, it can be rendered using ray casting.

The issue is solved as follows: If the intersection point is a vertex of a tested polygon side, then the intersection counts only if the second vertex of the side lies below the ray.

If the polygon is specified by its vertices, then this problem is eliminated by checking the y-coordinates of the ray and the ends of the tested polygon side before actual computation of the intersection.

If an atom is at the edge of the grid, any ray which is aimed into the grid directly beside it causes a reflection.

If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.

If the path of the particle or centre of mass of the rigid body passes through the given origin, its angular momentum is zero.

If the auction is passed out, i. e. no bids are made and only four passes are called, the hands are abandoned and the turn to deal passes in rotation.

If players cannot move either die in a roll, given the position of their checkers then that turn is over and the turn passes to the opponent.

If the experiment were done in English, since Searle knows English, he would be able to take questions and give answers without any algorithms for English questions, and he would be affectively aware of what was being said and the purposes it might serve: Searle passes the Turing test of answering the questions in both languages, but he's only conscious of what he's doing when he speaks English.

If a die leaves the table, the shooter will usually be asked to select another die from the remaining three but can request using the same die if it passes the boxman's inspection.

If the line passes through the leftmost portion of the pixel, only the red subpixel is lit ; if it passes through the rightmost portion of the pixel, only the blue subpixel is lit.

If a lock passes the requirements then it is said to be California Department of Justice ( CADOJ ) approved.

If this continues far enough, the working end passes into the knot and the knot unravels and fails.

If the applied voltage is large enough, the liquid crystal molecules in the center of the layer are almost completely untwisted and the polarization of the incident light is not rotated as it passes through the liquid crystal layer.

If a physician passes the examination, then he or she can become a nephrology specialist.

If the defendant accepts these suggestions and changes his penalty proposition, the court approves it and passes the verdict according to the plea agreement.

If the football passes through your goal line, but ends up elsewhere due to further jumps, the game continues.

If a government cannot get its appropriation ( budget ) legislation passed by the House of Representatives, or the house passes a vote of " no confidence " in the government, the prime minister is bound by convention to resign immediately.

If it passes through intermediate systems during its travels, it will probably be stored on those as well, at least for some time.

If one player cannot make a valid move, play passes back to the other player.

If a skater passes inside the track, he or she is disqualified.

If in changing from one position to another the reflected image passes directly over the unreflected image, no side error exists.

If it passes to one side, side error exists.

If not initially in thermodynamic equilibrium, simple isolated thermodynamic systems, as time passes, tend to evolve naturally towards thermodynamic equilibrium.

If the service is " good ", then the receiver must make a " good " return by hitting the ball back before it bounces a second time on receiver's side of the table so that the ball passes the net and touches the opponent's court, either directly or after touching the net assembly.

If the parliament passes a resolution of no confidence, or refuses to pass an important bill such as the budget, then the government must either resign so that a different government can be appointed or seek a parliamentary dissolution so that new general elections may be held in order to re-confirm or deny the government's mandate.