BILPBiblioteka Instytutu Literatury Polskiej (Polish: Polish Library Literary Institute)
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The present study used BILP (1996) because it was widely used in such previous studies, but no research could be found that verified the claim of its author that it really measures the three learning preferences.
Therefore, determination of {[X.sub.i,j]} is enforced by the following linear inequality constraints, such that the generalized problem can still be solved by a BILP optimization process:
(1) Construct initial search space {[A.sub.i]}; (2) repeat (3) Determine {[d.sub.i,j]} via locations of {[A.sub.i]} and {[P.sub.j]} (4) if [I.sub.min] is not given then (5) Determine [SIGMA][Y.sub.i] and {[q.sub.i,j,k]} through minimizing (1), subject to (4)-(14) for all i, j and K, via BILP; (6) else (7) Determine {[r.sub.i]} and {[q.sub.i,j,k]} through minimizing (3), subject to (4)-(14) for all i, j and K, via BILP, with given [I.sub.min]; (8) end if (9) Select {[q.sub.i,j,k]} and {[r.sub.i]} as the answer; (10) Construct the refined search space {[A.sub.i]} from the determined answer; (11) until [parallel][{[r.sub.i]}.sub.previous] - [{[r.sub.i]}.sub.current][parallel]2/[parallel] [{[r.sub.i]}.sub.previous][[parallel].sub.2] [less than or equal to] [epsilon] 3.
Firstly, we suspected of BILP in patients who presented with unilateral and specific configuration (except head and neck) of lichenoid, hyperpigmented or atrophic skin lesions.
We diagnosed 7 (4 females, 3 males) BILP patients, mostly middle aged to senile according to clinical, pathological findings and rule out of other dermatologic entity that mimicking BILP.
One patient showed concurrent BILP on both trunk region with whorls configuration and lower extremity with vertical configuration.
Linear LP as a variant of LP may present as Koebner phenomenon, isolated linear lesions, lichenoid epidermal nevus, segmental LP, zosteriform LP, and BILP.7
BILP must be differentiated from the other variants of LLP, epidermal nevi, lichen striatus, linear psoriasis, inflammatory linear verrucous epidermal nevus (ILVEN), drug reaction and linear Darier disease based on histopathological findings and clinical manifestations, including lichenoid skin lesions, specific linearity distribution and had not intake any medications.8,9
There are several case reports of BILP with different ages that had moderate to severe pruritus with lesions mostly located on trunk, and occasional buccal mucosa involvement but intact nails and scalp.
Happle12 believes that many of cases reported as zosteriform LP do not have dermatomal distribution and they are indeed BILP. In our patients, despite typical findings of LP in cutaneous lesions and histopathological assessment, we did not observe involvement of mucous membranes, scalp, and nails as well as troublesome pruritus except in one patient that may result in delay of patient for medical visit or diagnostic problem.