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A题/数值分析检验/Prompt/4.md

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+TASK: Output BASELINE_CONFIG_v1 as JSON only (parameters + scenario schedule).
+
+INPUT DATA:
+- MODEL_SPEC parameter list (Prompt 1)
+- Scenario concept: 6-hour alternating profile with smooth transitions using:
+  win(t;a,b,δ)=1/(1+exp(-(t-a)/δ)) - 1/(1+exp(-(t-b)/δ))
+  and L(t)=Σ L_j*win(t;a_j,b_j,δ), similarly for C(t), N(t)
+
+METHODOLOGY:
+1) Choose δ = 20 seconds exactly.
+2) Define a 6-hour schedule with exactly 6 segments in seconds:
+   Segment table fields:
+   name, a_sec, b_sec, L_level, C_level, N_level, Ψ_level, T_a_C
+3) Use the example normalized levels:
+   standby:    L=0.10 C=0.10 N=0.20
+   streaming:  L=0.70 C=0.40 N=0.60
+   gaming:     L=0.90 C=0.90 N=0.50
+   navigation: L=0.80 C=0.60 N=0.80
+   Include exactly one “poor signal” hour where Ψ_level is lower than the rest.
+4) Freeze initial conditions:
+   z0 in {1.00,0.75,0.50,0.25}; v_p0=0; w0=0; S0=1; T_b0=T_a(0)
+5) Freeze numerics:
+   dt=1.0 second; t_max=24*3600 seconds; seed=20260201
+
+DELIVERABLE:
+JSON object with keys:
+- params: {name:value} for every parameter in MODEL_SPEC
+- scenario: {delta_sec, segments:[...], win_definition_string}
+- initial_conditions: list of z0 values and fixed other inits
+- numerics: {dt, t_max, seed}
+
+VALIDATION:
+- segments must cover [0,21600] seconds without gaps (allow overlaps only via smooth win)
+- all input levels must lie within required bounds (L,C,N,w in [0,1], Ψ in (0,1])
+
+OUTPUT FORMAT:
+JSON only. No markdown.