Declarative versus imperative paradigms in games AI by Combs N.

By Combs N.

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A plane wave. H is directed out of the page. 34 1 2. 7 Near Field In regions close to a source, the field is called the near field. In the near-field region, E and H are not necessarily perpendicular, and in fact, the field cannot always be conveniently characterized. The field is often more nonpropagating in nature and is called a fringing field, reactive field or induction field. The near field often varies rapidly with space. The mathematical expressions for E and H in the near field generally contain the terms r-l, r-', r-3,.

18(b) and (c) results, except the fields do not cancel to produce nodes. There are corresponding points a t which a minimum value of the field occurs, but they are not nodes because the field does not vanish there. 2. 19 shows a plane-wave obliquely incident on a perfect planar conductor. In this case, the angle of reflection is equal to the angle of incidence. The angles are defined as the angles between the direction of propagation and the normal (perpendicular)to the planar conductor. The sum of the incident and the scattered waves for oblique incidence is also a standing wave, but in this case, the nodes do not occur a t half wavelength spacing.

10 Poynting's Theorem (Power-Conservation Theorem) Poynting's theorem, which is an important statement relating the rate of energy absorption in an object to the incident fields, is often misunderstood and misinterpreted. Avoiding complicated mathematical expressionsis a goal of this Report, but explaining Poynting's theorem is a situation where a mathematical statement is necessary for a good explanation. Enough explanation will be given, however, to allow understanding with only a minimum knowledge of mathematics.

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