In technical analysis of financial data, a "'weighted moving average "'( WMA ) has the specific meaning of weights that decrease in arithmetical progression.
2.
The innermost scales of the instrument are called the Arithmetic Lines from their division in arithmetical progression, that is, by equal additions which proceed out to the number 250.
3.
:EXAMPLE : In the measure of temperature, we take the expansion and contraction of mercury relative to the heat it contains as a Quantitative Rule for the increase or decrease of temperature in general by dividing the range of its change in magnitude into a scale of arithmetical progression.
4.
He was thus led to conclude that chemistry is a branch of applied mathematics and to endeavour to trace a law according to which the quantities of different bases required to saturate a given acid formed an arithmetical progression, and the quantities of acids saturating a given base a geometric progression.
5.
:[ According to al-Masudi's early history of India ], shatranj, or chess was invented under an Indian king, who expressed his preference for this game over backgammon . [ . . . ] The Indians, he adds, also calculated an arithmetical progression with the squares of the chessboard . [ . . . ] The early fondness of the Indians for enormous calculations is well known to students of their mathematics, and is exemplified in the writings of the great astronomer ryabam ha ( born 476 A . D . ) . [ . . . ] An additional argument for the Indian origin of this calculation is supplied by the Arabic name for the square of the chessboard, ( ( J * , " beit " ),'house'. [ . . . ] For this has doubtless a historical connection with its Indian designation koc m hgra,'store-house','granary'[ . . . ].
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