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If and ray
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 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.
If the ray passes exactly through a vertex of a polygon, then it will intersect 2 segments at their endpoints.
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 and tracing
If, however, the figure to be discerned were complicated, composed of several interlocking subfigures, and so on, even the tracing process failed him, and he could not focus even relatively simple shapes among its parts.
If the system is set to detect this vulnerability, it will recognize that it is under attack and can respond, either by locking the system down until proper administrators have a chance to react, by monitoring the attack and tracing the assailant, or by disconnecting the attacker.
If the photon is absorbed, no new direction is given, and tracing for that photon ends.
If a greatly enlarged image of a segment of a phonautograph tracing were projected as a horizontally-oriented undulating line on a sheet of graph paper, a numerical description of the line could be created by proceeding from one grid column to the next, counting the number of squares between the line and a straight horizontal reference line, and making a list of the numbers.
After The Last Tycoon ( March 14, 1957 ), adapted from the F. Scott Fitzgerald novel about a film studio head, Frankenheimer followed with Tad Mosel's If You Knew Elizabeth ( April 11, 1957 ) about an ambitious college professor ; another Fitzgerald adaptation, Winter Dreams ( May 23, 1957 ), dramatizing a romantic triangle ; Clash by Night ( June 13, 1957 ), with Kim Stanley in an adaptation of the Clifford Odets play ; and The Fabulous Irishman ( June 27, 1957 ), a biographical drama tracing events in the life of Robert Briscoe.

If and is
If the circumstances are faced frankly it is not reasonable to expect this to be true.
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.
If they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;
If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.
If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.
If it is an honest feeling, then why should she not yield to it??
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If he is good, he may not be legal ; ;
If the man on the sidewalk is surprised at this question, it has served as an exclamation.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If he is a traditionalist, he is an eclectic traditionalist.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

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