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Comoving Bin Volume Share Tool

Share of already supplied compatible comoving volumes; no distance-redshift cosmology is inferred.

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Description

Return comoving-bin share under an exclusion policy.

Survey geometry combines solid angle, radial distance and a stated coordinate or selection basis. A sky fraction, bin midpoint or thin-shell term is a local geometric quantity rather than an integrated survey volume, observed population or selection-corrected estimate.

Return comoving-bin share under an exclusion policy.

When to use this tool

Use Comoving Bin Volume Share when checking the stated survey-area, bin or comoving-volume term.

How to use the tool and how it works

  1. Enter binVolume, totalVolume, excludedVolume, excludeMarked. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read denominatorVolume, share. Use the output convention below.

Return comoving-bin share under an exclusion policy. Require totalVolume > 0, 0 <= excludedVolume < total and 0 <= binVolume <= total-excluded; denominator subtracts exclusions only when excludeMarked.1

Input fieldMeaning and unitsAccepted input
binVolumeBin VolumeRequired. Finite number; minimum 0.
totalVolumeTotal VolumeRequired. Finite number; strictly above 0.
excludedVolumeExcluded VolumeRequired. Finite number; minimum 0.
excludeMarkedExclude MarkedRequired. Boolean.
Output fieldInterpretationReturned shape
denominatorVolumeDenominator VolumeRequired. Finite number.
shareDimensionless numerator/denominator ratio under the explicit basis above.Required. Finite number.
json
{
  "input": {
    "binVolume": 20,
    "totalVolume": 100,
    "excludedVolume": 20,
    "excludeMarked": true
  },
  "output": {
    "denominatorVolume": 80,
    "share": 0.25
  }
}

Limitations and assumptions

  • The volumes and mask are supplied; no cosmological volume integration, overlap audit or survey selection correction occurs.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Integrate the appropriate cosmological volume element and actual survey mask/selection function for complete coverage or number-count analysis.

References

  1. Calculation and input contract: cosmology/comoving-bin-volume-share — tool.io

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