http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
A MODIFIED SELF-AVOIDING WALK MODEL ON THE SQUARE LATTICE WITH REFLECTING AND ABSORBING BARRIERS
SONG, JUNHO 한국산업정보응용수학회 2000 한국산업정보응용수학회 Vol.4 No.2
Well known is the directed self-avoiding walk model on the square lattice with reflecting and absorbing barriers. We consider two models, namely, a pyramid self-avoiding polygon model and a top and bottom pyramid polygon model, as sub collections of the model. We derive explicit formulas for the number of 2N-step polygons in these models.
The expected independent domination number of random directed rooted trees
Junho Song,Changwoo Lee 대한수학회 2004 대한수학회지 Vol.41 No.5
We derive a formula for the expected value µ(n) of the independent domination number of a random directed rooted tree with n labeled vertices and determine the asymptotic behavior of µ(n) as n goes to infinity.
On the Generalized Convex Functions
SONG, Huhn-Jong,SONG, Junho 釜山水産大學校 1981 釜山水産大學 硏究報告 Vol.21 No.2
The functional operations of generalized convex functions, relation between generalized convex sets and generalized convex functions, topological properties of generalized convex sets, topological propertey of supports of generalized convex functions in function space and the existence of a maximal element in the set Φ={ΓεΦ:f is Γconvex} were studied by using following property: property 1. Given any two points x₁and x₂in (a, b) and two real numbers y₁and y₂there is a unique member of ?? passing through (x₁,y₁) and (x₂,y₂). And for each ?? F is continuous on (a, b). We get following main results: 1. Let Γ be a family of functions given by F(x)=ax+β+Φ(x), (α, βεR), where is Γ convex function defined on (a, b). (1) If f and g are Γ convex, then so is f+g. (2) If λ>1 and f is Γ convex, then so is λf. 2. f is Γ convex if and only if epi f={(x, y)εR: f(x)<y} is Γ convex. 3. Let C be a non empty subset of R. If C is Γ convex, then (1) The closure of C, Cl(C) is Γ convex. (2) The non empty interior of C, Int (C) is Γ convex. 4. Let f be a Γ convex function defined on (a, b) and let (∂f)(x)={FεΓ: F supports f at xε(a, b)}. Then (∂f)(x) is closed in C((a, b): R) for each xε(a, b). 5. Let Φ be a subset of Φ with the following property: property 2. Given x₁, x₂ε(a, b) and y, yεR, there exists a continuous function g defined on (a, b) such that ?? on (x₁,x₂) and ?? out side the interval (x₁, x₂) for anx FεΓεΦ determined by (x₁,y₂) and (x₁,y₂). If f is Γ convex for some ΓεΦ, then ψ'={ΓεΦ': f is Γ convex} has a maximal element in ψ.
One Dimensional Random Walks with Reflecting Barriers
SONG,Junho 釜山水産大學校 1980 釜山水産大學 硏究報告 Vol.20 No.2
reflecting points가 2개 있는 일차원 비대칭 취보에 관한 제 성질을 조사하였다. 특히, 이 논고에서는 다른 논문에서 거의 찾아 볼 수 없는 recurrence properties, the mean recurrence time 그리고 walker가 n step 후에 방문하는 lattice points의 수등에 대한 제 성질을 Green’s function method를 사용하여 이에 대한 엄밀한 식을 유도하였다.
Song Junho,Katz Austen David,Perfetti Dean,Job Alan,Morris Matthew,Virk Sohrab,Silber Jeff,Essig David 대한척추외과학회 2023 Asian Spine Journal Vol.17 No.1
Study Design: A retrospective cohort study. Purpose: To compare 30-day readmission, reoperation, and morbidity for patients undergoing posterior cervical decompression and fusion (PCDF) in inpatient vs. outpatient settings. Overview of Literature: PCDF has recently been increasingly performed in outpatient settings, often utilizing minimally invasive techniques. However, literature evaluating short-term outcomes for PCDF is scarce. Moreover, no currently large-scale database studies have compared short-term outcomes between PCDF performed in the inpatient and outpatient settings. Methods: Patients who underwent PCDF from 2005 to 2018 were identified using the National Surgical Quality Improvement Program database. Regression analysis was utilized to compare primary outcomes between surgical settings and evaluate for predictors thereof. Results: We identified 8,912 patients. Unadjusted analysis revealed that outpatients had lower readmission (4.7% vs. 8.8%, p=0.020), reoperation (1.7% vs. 3.8%, p=0.038), and morbidity (4.5% vs. 11.2%, p<0.001) rates. After adjusting for baseline differences, readmission, reoperation, and morbidity no longer statistically differed between surgical settings. Outpatients had lower operative time (126 minutes vs. 179 minutes) and levels fused (1.8 vs. 2.2) (p<0.001). Multivariate analysis revealed that age (p=0.008; odds ratio [OR], 1.012), weight loss (p=0.045; OR, 2.444), and increased creatinine (p<0.001; OR, 2.233) independently predicted readmission. The American Society of Anesthesiologists (ASA) classification of ≥3 predicted reoperation (p=0.028; OR, 1.406). Rehabilitation discharge (p<0.001; OR, 1.412), ASA-class of ≥3 (p=0.008; OR, 1.296), decreased hematocrit (p<0.001; OR, 1.700), and operative time (p<0.001; OR, 1.005) predicted morbidity. Conclusions: The 30-day outcomes were statistically similar between surgical settings, indicating that PCDF can be safely performed as an outpatient procedure. Surrogates for poor health predicted negative outcomes. These results are particularly important as we continue to shift spinal surgery to outpatient centers. This importance has been highlighted by the need to unburden inpatient sites, particularly during public health emergencies, such as the coronavirus disease 2019 pandemic.