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The dynamics of collisionless galaxy can be described by the Vlasov-Poisson system. By the Jean's theorem, all the spherically symmetric steady galaxy models are given by a distribution of {\Phi}(E,L), where E is the particle energy and L the angular ...
Guo, Yan +3 more
core +2 more sources
Understanding the unstable convergence of gradient descent [PDF]
Most existing analyses of (stochastic) gradient descent rely on the condition that for $L$-smooth costs, the step size is less than $2/L$. However, many works have observed that in machine learning applications step sizes often do not fulfill this ...
Kwangjun Ahn, J. Zhang, S. Sra
semanticscholar +1 more source
EFFECT OF NANOPARTICLES ON CLAY STABILITY IN WATER: IMPLICATION FOR WATER BASED DRILLING MUD [PDF]
Clay stability in water is essential in chemical and manufacturing processes. In water based drilling fluids, montmorillonite dispersed in water is commonly used to maintain fluid density that counter-balances pressure effects from formation layers ...
Naomi Amoni Ogolo, Mike Onyekonwu
doaj +1 more source
Are “Unstable” Burst Fractures Really Unstable? [PDF]
Objective : The stability is an important factor to decide the treatment plan in thoracolumbar burst fracture patients. Patients with an unstable burst fracture generally need operative management. Decrease in vertebral body height, local kyphosis, involvement of posterior column, and/or canal compromise are considered important factors to determine ...
Jun Hyuk Woo +3 more
openaire +2 more sources
Outcome of Primary Cemented Bipolar Hemiarthroplasty compared with Dynamic Hip Screw in Elderly Patients with Unstable Intertrochanteric Fracture [PDF]
Introduction: Although the treatment of choice for unstable intertrochanteric fractures in elderly patients has been internal fixation for a long time, several studies have shown mechanical and technical failures.
Gashi YN, Elhadi AS, Elbushra IM
doaj +1 more source
PurposeUnstable femoral shaft fractures (UFSFs) in children aged 5–11 years remain challenging due to their intrinsic instability. The aim of this study was to evaluate the clinical and radiographic outcomes of UFSF in children aged 5 to 11 years managed
Yunan Lu +7 more
doaj +1 more source
Distal Humerus Intra-articular Fractures Fixed by 90–90 Plating and Functional Analysis: A Case Series [PDF]
Background: Young adults and the elderly frequently suffer from distal humerus fractures. Although internal fixation technology has advanced, treating these fractures still poses difficulties.
Thiyagaraj Chandramohan +1 more
doaj +1 more source
Assessment of Instability in Thoracolumbar Burst Fractures Using a New Bone Scan Scoring System
Background and Objectives: Unstable thoracolumbar burst fractures require surgical management as they can result in neurological deficits if left untreated.
Hyung Jin Choi +4 more
doaj +1 more source
INTERNAL FIXATION FOR UNSTABLE PELVIC FRACTURE: THE VALUE OF ANTERIOR APPROACH AND SMALL FRAGMENTS BIOSYNTHESIS [PDF]
Fifty patients with unstable pelvic fracture were subjected to internal fixation through anterior approach by small fragment biosynthesis over sixteen year of experience. Their age, range between 15–45 years.
Medhat Mohammed Mahdi
doaj +1 more source
Purpose: How to effectively enhance the mechanical stability of intramedullary implants for unstable femoral intertrochanteric fractures (UFIFs) is challenging. The authors developed a new implant for managing such patients.
HuanAn Bai +9 more
doaj +1 more source

