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Methods Accumulated Activity Effective Index The AAEI was designed as a simple numeral indicator that directly reveals the physical activity status of the user by estimating both accumulated physical activity and days spent exercising. The design principles of the AAEI were (1) AAEI is a simple value to reveal physical activity; (2) AAEI corresponds to physical activity; (3) AAEI increases with more physical activity, is steady in fixed physical activity, and decreases with less physical activity; (4) AAEI corresponds to days spent exercising; (5) AAEI decreases with resting days; (6) AAEI decreases more with continued resting; (7) AAEI decreases less at rest if user Inulin has exercised before; and (8) AAEI is at or near zero if the user does not exercise in 7 days. The AAEI parameters and evaluating process (Equation 1) are described in Figure 1. Figure 1 The accumulated activity effective index (AAEI) parameters and equations for the evaluating process (equation 1) and exercise expectance (equations 2 and 3). The term AAEI(t1,t2) is Epigenetics Compound Library in vivo an index of the accumulated physical activity in the time interval (t1,t2), where the base unit of time is the day. The AAEI is greater than or equal to zero. The AAEI(t1,t2) is calculated by tracking the sum of AAEI(t1,t2�C1) and the amount of physical activity in t2. The variable MT(t2) represents the amount of physical activity in t2, which is equal to the activity level multiplied by the exercise duration. The variable buy AR-42 E(t2) is defined as the exercise expectation of physical activity in t2, which depends on the previous interval (t1,t2�C1) status of physical activity include accumulated physical activity and days spent exercise. Parameter k is a constant value and is greater than zero to scale the AAEI. The design of k in a different constant or a variable can be a condition depending on AAEI(t1,t2�C1), MT(t2), or others. For example, k can increase with activity level, in which case participants exercise harder and can get a higher AAEI because AAEI increases more during vigorous activity. In another example, if k rises when [MT(t2)�CE(t2)]
