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FIG. 3. Dimensionless Fréchet kernel F*(X,0, ${tau}$ ) for a dual-probe heat-pulse sensor with heater probe at (X,Y) = (– $1/2$ ,0) and temperature probe at (X,Y) = ( $1/2$ ,0). Results are from Eq. [32] with Y = 0 for dimensionless times ${tau}$ = 0.21, 0.23, 0.25 0.27, and 0.29. The curve for ${tau}$ = 0.25 is the special case of Eq. [34] for which there are no singularities at the heater probe or temperature sensor.