Smithsonian miscellaneous collections . d to us any other periodicities exist-ing in the residuals except perhaps the Bruckner period of 34-| seems to show an average amplitude of o.°6 Centigrade in theresiduals. For reasons explained at much length above, but by nomeans exhaustive of all the evidence in our hands, I believe that allof the many periodicities named above have real veridity, and thatthe processes described in their evaluation and removal are evidence, however, will follow. Nevertheless, I am sure that statisticians, if they take a snap judg-ment, wi
Smithsonian miscellaneous collections . d to us any other periodicities exist-ing in the residuals except perhaps the Bruckner period of 34-| seems to show an average amplitude of o.°6 Centigrade in theresiduals. For reasons explained at much length above, but by nomeans exhaustive of all the evidence in our hands, I believe that allof the many periodicities named above have real veridity, and thatthe processes described in their evaluation and removal are evidence, however, will follow. Nevertheless, I am sure that statisticians, if they take a snap judg-ment, will make the obvious remark that complex curves may be repre-sented with much accuracy by a Fourier analysis of 14 terms, thoughthese terms have no physical significance whatever. For an D. C. Miller has represented almost perfectly the profile of agirls face by Fourier analysis in 30 terms. But I think great diffi- 50 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 94 0 \Z 24 36 48 60 72 84 O 12 24 36 48 60 72 84 96 108 120 132. Fig. 20.—Periodicities of 92 and 138 months, Berlin temperatures. NO. 10 SOLAR RADIATION AND WEATHER STUDIES ABBOT 51 culty would be found in making a satisfactory Fourier analysis in14 terms of the temperature departures of Berlin from 1819 to 1929or in discovering by that method the remarkable reversals of phasewhich occur at intervals which are integral multiples of ii| yearsafter 1819. Furthermore, I hope statisticians will be fair enough toweigh carefully the arguments I have presented, and having done sowill suspend adverse judgment until they have examined what is yetto follow.
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