Recorded data and provenance for the associated calculation.

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scopeExact clamped-ball source, moment and first-shell splitting bounds
source_sha256b3e518ec04ee01ee89143f38a2e631b3fcb16b2f5c84304eb09b5267444b14ba
all_assertions_passedtrue
View complete data
{
  "scope": "Exact clamped-ball source, moment and first-shell splitting bounds",
  "source_sha256": "b3e518ec04ee01ee89143f38a2e631b3fcb16b2f5c84304eb09b5267444b14ba",
  "rows": [
    {
      "depth": 2,
      "norm_over_volume": "2/15",
      "difference_load_over_volume": "-16/105",
      "stiffness_over_volume": "8/3",
      "split_per_Ca_lower": "8/245",
      "split_per_Ca_lower_numeric": 0.0326530612244898,
      "compliance_upper_over_volume": "139/192"
    },
    {
      "depth": 3,
      "norm_over_volume": "pi/32",
      "difference_load_over_volume": "-3*pi/64",
      "stiffness_over_volume": "72/35",
      "split_per_Ca_lower": "35*pi/2048",
      "split_per_Ca_lower_numeric": 0.053689327575997446,
      "compliance_upper_over_volume": "3854/4725"
    },
    {
      "depth": 4,
      "norm_over_volume": "8/105",
      "difference_load_over_volume": "-128/945",
      "stiffness_over_volume": "5/3",
      "split_per_Ca_lower": "1024/14175",
      "split_per_Ca_lower_numeric": 0.07223985890652557,
      "compliance_upper_over_volume": "101/120"
    },
    {
      "depth": 5,
      "norm_over_volume": "5*pi/256",
      "difference_load_over_volume": "-5*pi/128",
      "stiffness_over_volume": "88/63",
      "split_per_Ca_lower": "315*pi/11264",
      "split_per_Ca_lower_numeric": 0.08785526330617763,
      "compliance_upper_over_volume": "1354/1617"
    },
    {
      "depth": 6,
      "norm_over_volume": "16/315",
      "difference_load_over_volume": "-128/1155",
      "stiffness_over_volume": "6/5",
      "split_per_Ca_lower": "256/2541",
      "split_per_Ca_lower_numeric": 0.10074773711137347,
      "compliance_upper_over_volume": "943/1152"
    },
    {
      "depth": 10,
      "norm_over_volume": "256/9009",
      "difference_load_over_volume": "-2048/27027",
      "stiffness_over_volume": "16/21",
      "split_per_Ca_lower": "512/3861",
      "split_per_Ca_lower_numeric": 0.13260813260813262,
      "compliance_upper_over_volume": "1901/2688"
    }
  ],
  "all_assertions_passed": true
}