OBJECTIVES Although an association between prognosis and lobar location of lung cancer, particularly the left lower lobe (LLL), has been suggested, the certainty of such association remains controversial. The purpose of this study was to evaluate the impact of tumour lobar location on surgical outcomes as an independent prognostic factor for survival in our non-small cell lung cancer (NSCLC) pa...

We surview variants and extensions of the LLL-algorithm of Lenstra, Lenstra Lovász, extensions to quadratic indefinite forms and to faster and stronger reduction algorithms. The LLL-algorithm with Householder orthogonalisation in floating-point arithmetic is very efficient and highly accurate. We surview approximations of the shortest lattice vector by feasible lattice reduction, in particular ...

Seat height that is too high (> 120% of lower leg length [LLL]) or too low (< 80% of LLL) can impede safe transfer and result in falls. This study examines the difference between LLL of frail nursing home residents and the height of their toilets and beds in the lowest position, compares the patient or environmental characteristics of those able to transfer from the bed or toilet to those who c...

A 63-year-old male presents with chronic cough and hemoptysis. Computed tomography of the chest revealed a left lower lobe (LLL) area of consolidation with prominent ipsilateral hilar lymphadenopathy. Bronchoscopic airway examination revealed black mucosal discoloration and airway narrowing at the superior segment of the LLL. Bronchoalveolar lavage from the corresponding site grew mycobacterial...

We report a rare case of granular cell tumor arising in the left lower lobe (LLL) bronchus with secondary obstructive change in a 60-year-old male. The patient was found to have a nodule in the LLL on a computed tomography scan, three months prior to his presentation to the Asan Medical Center. Bronchoscopic biopsies revealed a granular cell tumor. After undergoing LLL lobectomy with bronchopla...

A tight criterion under which the abstract version Lovász Local Lemma (abstract-LLL) holds was given by Shearer [43] decades ago. However, little is known about that of the variable version LLL (variable-LLL) where events are generated by independent random variables, though this model of events is applicable to almost all applications of LLL. We introduce a necessary and sufficient criterion f...

The text-book LLL algorithm can be sped up considerably by replacing the underlying rational arithmetic used for the Gram-Schmidt orthogonalisation by floating-point approximations. We review how this modification has been and is currently implemented, both in theory and in practice. Using floating-point approximations seems to be natural for LLL even from the theoretical point of view: it is t...