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Measured Playing Period

Description

ํ•œ ์„ ์ˆ˜์˜ ๋ชจ๋“  activity-playing period๋ฅผ ํ•ฉํ•œ ๊ฒƒ์„ playing period๋ผ ํ•˜๋ฉฐ (ํ•ด๋‹น ์„ ์ˆ˜๊ฐ€ ๊ฒฝ๊ธฐ ๋˜๋Š” ํ›ˆ๋ จ์— ์ฐธ์—ฌํ•˜๊ณ  ์žˆ์—ˆ๋˜ ๋ชจ๋“  ์‹œ๊ฐ„์˜ ์ง‘ํ•ฉ), ์ด ์ค‘ EPTS์— ์˜ํ•ด ์ธก์ • ๋ฐ ์ „์ฒ˜๋ฆฌ๋˜์–ด smooth data(smooth GPS tuple ๋ฐ smooth IMU acceleration ์ฐธ์กฐ)๊ฐ€ ์กด์žฌํ•˜๋Š” ์‹œ์ ๋“ค๋งŒ ๋ชจ์€ ๊ฒƒ์„ measured playing period๋ผ ํ•œ๋‹ค.
์‚ฌ์šฉ์ž๊ฐ€ session์œผ๋กœ ๋ถ„๋ฅ˜ํ•˜์ง€ ์•Š์€ ์‹œ์ ๋“ค์€ ์„ ์ˆ˜์˜ playing period์— ํฌํ•จ๋˜์ง€ ์•Š์œผ๋ฉฐ, ๋Œ€๋ถ€๋ถ„์˜ ๋ถ„์„ ์ง€ํ‘œ๋“ค์€ ์„ ์ˆ˜์˜ measured playing period์— ๋Œ€ํ•ด์„œ๋งŒ ๊ณ„์‚ฐ๋œ๋‹ค.

Formal Definition

The playing period TPT_P of the player PโˆˆPP \in \mathscr{P} throughout the whole time period is defined as
TP:=โ‹ƒAโˆˆAPTA,PT_P := \bigcup_{A \in \mathscr{A}_P} T_{A,P}
That is, tโˆˆTPt \in T_P means that "a player PP was participating in some activity at time tt".
Also, the measured playing period TP[ฮ”t]T_P[\Delta t] for which the smoothed EPTS data for a player PP exist is defined as
TP[ฮ”t]:=TPโˆฉT[ฮ”t]=โ‹ƒAโˆˆAPTA,P[ฮ”t]T_P[\Delta t] := T_P \cap \mathbb{T}[\Delta t] = \bigcup_{A \in \mathscr{A}_P} T_{A,P}[\Delta t]