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docs/main/_downloads/567dcfcb2b5873e3266d29074b6a1428/phasorpy_lifetime_geometry.ipynb

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"The figure demonstrates:\n\n- **single exponential lifetimes** $\\tau_{i}$ correspond to\n phasor coordinates on the **universal semicircle**.\n- the **phasor coordinates** $G$ and $S$ of a mixture of\n two components with single-exponential lifetimes, weighted by their\n fractional intensities $\\alpha_{i}$, lie on a line between the\n phasor coordinates of the single components.\n- the **phase** $\\varphi$ of the phasor coordinates $G$ and\n $S$ is the angle of the phasor coordinates with respect to the\n origin.\n- the **modulation** $M$ of the phasor coordinates $G$ and\n $S$ is the distance from the origin to the phasor coordinates.\n- the **apparent single lifetime from phase** $\\tau_{\\varphi}$\n of the component mixture is the single exponential lifetime corresponding\n to the intersection of the universal circle with a line through the origin\n and the phasor coordinates $G$ and $S$.\n- the **apparent single lifetime from modulation** $\\tau_{M}$\n of the component mixture is the single exponential lifetime corresponding\n to the intersection of the universal circle with a circle around the origin\n of radius equal to the modulation $M$.\n- the **normal lifetime** $\\tau_{N}$ of the component mixture\n is the single exponential lifetime corresponding to the nearest point on\n the universal circle to the phasor coordinates $G$ and $S$,\n which is the intersection of the universal circle with the line through the\n center of the universal circle and the phasor coordinates $G$ and\n $S$.\n\n"
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"The figure demonstrates:\n\n- **single exponential lifetimes** $\\tau_{i}$ correspond to\n phasor coordinates on the **universal semicircle**.\n- the **phasor coordinates** $G$ and $S$ of a mixture of\n two components with single-exponential lifetimes, weighted by their\n **fractional intensities** $\\alpha_{i}$, lie on a line between the\n phasor coordinates of the single components.\n- the **phase** $\\varphi$ of the phasor coordinates $G$ and\n $S$ is the angle of the phasor coordinates with respect to the\n origin.\n- the **modulation** $M$ of the phasor coordinates $G$ and\n $S$ is the distance from the origin to the phasor coordinates.\n- the **apparent single lifetime from phase** $\\tau_{\\varphi}$\n of the component mixture is the single exponential lifetime corresponding\n to the intersection of the universal circle with a line through the origin\n and the phasor coordinates $G$ and $S$.\n- the **apparent single lifetime from modulation** $\\tau_{M}$\n of the component mixture is the single exponential lifetime corresponding\n to the intersection of the universal circle with a circle around the origin\n of radius equal to the modulation $M$.\n- the **normal lifetime** $\\tau_{N}$ of the component mixture\n is the single exponential lifetime corresponding to the nearest point on\n the universal circle to the phasor coordinates $G$ and $S$,\n which is the intersection of the universal circle with the line through the\n center of the universal circle and the phasor coordinates $G$ and\n $S$.\n\n"
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