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Table D.1.
List of variables used frequently in the text
| Notation | Definition | Reference |
|---|---|---|
| tini | cosmic time of the formation of a ZAMS binary | tini = tobs − tdel |
| tobs | cosmic time at which the compact binary is observed to merge. | |
| tdel | delay time | tdel = tevol + tmerg |
| tevol | time of evolution from ZAMS to the formation of a compact binary system | |
| tmerg | time from formation of a compact binary till the merger | |
| ℛ(z) | merger rate density per unit redshift as a function of redshift | Eq. 1 |
| SFR(z) | star formation rate density as a function of redshift | Figure 1 |
| Z | metallicity | |
| Msim | total mass of all stars accompanying the stellar evolution, | |
| leading to formation of compact object binaries | ||
| including the binaries as well as the single stars. | ||
| ℳs, mock, Ms, mock, zs, mock | subscript (s, mock) denotes true source parameters | |
| of a binary in the mock population | ||
| ℳs, det, Ms, det, zs, det | subscript (s, det) denotes true source parameters | |
| of detected sources | ||
| ℳmed, det, Mmed, det, zmed, det | subscript (med, det) denotes the median of the estimated | see Fig. 5 in SB2 |
| posterior distribution for each parameter | for an example of | |
| posterior distributions | ||
| Nmock | number of binaries in a mock population | |
| Ndet | number of detected binaries | |
| Nyr | number of mergers per year | |
| Tmock | time during which binaries in the mock population are expected to merger | Eq. 31 |
| Rmer(zs, mock) | merger rate densities as a function of redshift | Eq. 32 |
| assuming true source redshift in the mock population | ||
| Rmer(zs, det) | merger rate densities as a function of redshift | Eq. 32 |
| assuming true sources redshift of detected sources | ||
| Rmer(zmed, det) | merger rate densities as a function of redshift with the median | Eq. 32 |
| of the estimated posterior distribution of the redshift of detected sources | ||
| subscript ’sec’ | parameters of the secondary population | |
| 𝒟(zi, zi + 1) | detection efficiency in the redshift bin (zi, zi + 1) | Eq. 34 |
| Rmer, recon | reconstructed merger rate density taking into account the detection efficiency | Eq. 35 |
| SFR′ | merger-rate-weighted SFR |
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