breakage_first_order_fit — DRIVE `grind` op

• Data kinds: signal × signal → table

• Call: import fullseye as fs; fs.ledger.breakage_first_order_fit(t, w, x=None) -> 'dict' (to call the implementation directly, import grind; grind.breakage_first_order_fit(t, w, x=None) -> 'dict'; from the registry, opsdrive.get("breakage_first_order_fit"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

一次の破砕速度 `w(t) = w₀ exp(−S t)` を当てる(Deniz 2004 の式 (2)、出典 Austin)。

`w が 1-D: ある区間(または径 x より上の累積)の体積割合の時系列。返り: S・w0・rms_log・r2`

(ln w の直線の決定係数)・`S_early / S_late`(前半・後半の時点だけで当てた S、一次なら等しい —— 遅くなるなら一次から外れる)。

`w が 2-D (n_x, n_t) で x(各行の径、µm)を渡すと、行ごとの S と S = a_T x^α(Deniz の式 (3))の a_T・alpha`。

`apparent=True` は「最上位の区間でない(上から生まれ込む粒がある)ので式 (1) は厳密でない」の自己申告で、累積に当てた場合は常に True。

割合が 0 以下・1 超・点が 3 未満 → `ValueError`。

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_powder_grinding_ae — py -3.11 examples/poc_powder_grinding_ae.py

Ops the type connects to (they accept `table` as input)

course_layout · course_occupancy · course_contains · world_build · world_camera · world_move · lidar_scan · rss_longitudinal_same

Same category (`grind`)

particle_size_read · particle_size_dx · particle_size_oversize · particle_size_synth · comminution_energy · comminution_law_fit · replicate_compare · ae_read_csv

*Provenance: grind.py — DRIVE operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

breakage_first_order_fit — DRIVE grind op