By Alan M Portis

Arithmetic and statistics.--Mechanics.--Electronic instrumentation.--Fields.--Electrons and fields.--Electric circuits.--Acoustics and fluids.--Microwave optics.--Laser optics.--Atomic physics.--Nuclear physics.--Semiconductor electronics

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In additio n , a perma n ot st ret h may result. T hus, am thema tical analysis of a physical y te rn almost always involves the u se of idealized models which prov ide an pproximate d scription of the pro perties of the system . It is im po r tant to bear tlus in mind wh n comparing your ana lytical pred ictions with actual o bservations of the behavior of the system ' the two will seldom agree exactly. The disagreement can be cau ed either by experiment al erro r (that is, errors in the measuremen ts) or by the lack f preci ion of the m odel.

For details of the proof, see H. D. Young, "Statistical Treatment of Experimental Data," McGraw-Hill Book Company, New York, 1962. 35 mathematics and statistics The approximation valid for very large N and very small p is as follows: In this limit the only values of n with appreciable probabilities are very small compared to N. Consider first the factor N! -=-=(N-=----:-:-! = N(N - 1) ... (N n + 1) (55) This is a product of n factors, none of which is significantly different from N. We therefore replace Eq.

Practice pressing a glider against it and releasing it, until you can 3 mechanics launch the glider with a speed of about 10 to 20 em/sec. An alternative arrangement is to use a suitable mounting bracket to stretch a rubberband acro s the track near the end, and then press the glider against the side of the ru bberband and release it. Now insert a strip of waxed paper spark-recording tape, turn on the sparker, and launch the glider. Be sure to tum off the sparker as soon as the glider reaches the opposite end of the track to avoid confusing the spark record with holes for the return trip.

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