. Journal of agricultural research . os2 {& -e) -f/cos 3 (0 -g) (2)^the contents a, h, c, d, etc., determining the shape of the particular method is well known to mathematicians and is explained in the largertexts on calculus under the head of Fouriers series. 502 Journal of Agricultural Research voi. xvni, No. lo The following is the equation of the curve of figure 2, which representsthe seasonal temperature change for Utah: T = — cos 0— cos 2 6> — cos 3 0 + — 7.^7 sin ^ + sin 2 ^ — sin 3 6> + (3), or in terms of one trigonometric function on
. Journal of agricultural research . os2 {& -e) -f/cos 3 (0 -g) (2)^the contents a, h, c, d, etc., determining the shape of the particular method is well known to mathematicians and is explained in the largertexts on calculus under the head of Fouriers series. 502 Journal of Agricultural Research voi. xvni, No. lo The following is the equation of the curve of figure 2, which representsthe seasonal temperature change for Utah: T = — cos 0— cos 2 6> — cos 3 0 + — 7.^7 sin ^ + sin 2 ^ — sin 3 6> + (3), or in terms of one trigonometric function only: T= — cos {0— 19°— 54) — cos 2(6*— 149°— 5) cos 3(<9-i7°-3) + (4), where T represents the temperature at the time 0. The first constantin each of these equations () is the mean annual temperature for theState, expressed in degrees Fahrenheit. In the last two columns of Table I it is shown that for the 30 countyseats of Utah the mean annual temperatures differ from the mean for. IP 20 O ZO 10 £0 10 ZO JAN. FEB. MAR APffIL Fig. a.—Mean monthly temperatures for Utah. the State by from 0° to 10° F., with a mean departure of 4°, and thatthe mean annual range for these towns differs from the State range0° to 9°, with a mean departure of 4°. The first constant in the equa-tion simply moves the graph as a whole up or down the page withoutchanging its shape. Inasmuch as the annual range in temperature—the difference in temperature between summer and winter—is nearlythe same for all these county seats, making all their curves of approxi-mately the same shape, the above equation can be used for any of Utahstowns or any other place that has the same annual range by replacingthe first term by the mean annual temperature for the place in determine the mean daily temperature on April i for Salt LakeCity, change the date to degrees by dividing the number of days thathave elapsed since January i by 365 and multiply by
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectagricul, bookyear1913
