Reduction Of Group Research Articles

Proof of the Ginzburg-Kazhdan conjecture

We prove that the affine closure of the cotangent bundle of the basic affine space of a reductive group has conical symplectic singularities, which confirms a conjecture of Ginzburg and Kazhdan. We also show that this variety is Q-factorial and has terminal singularities.

Developing a Nomogram for Predicting Surgical Intervention in Pediatric Intussusception After Pneumatic Reduction: A Multicenter Study from China.

The objective of this study was to develop and validate a nomogram for predicting the need for surgical intervention in pediatric intussusception after pneumatic reduction. This retrospective study analyzed the clinical data of children with acute intussusception admitted to four hospitals in China from January 2019 to January 2022. Based on the results of pneumatic reduction, the patients were divided into two groups: the successful reduction group (control group) and the failed reduction group (operation group). The total sample was randomly divided into a training set and a validation set in a 7:3 ratio. Logistic regression analysis was performed to establish a predictive model for surgical risk. A total of 1041 samples were included in this study, with 852 in the control group and 189 in the operation group. Among the total sample, 728 cases were used for training and 313 cases were used for validation. Logistic regression analysis of the training set identified age, time of abdominal pain, presence or absence of hematostoecia, C-reactive protein value from blood test on admission, and nested position indicated by B-ultrasound as independent predictors of intussusception intervention. Based on the five independent risk factors identified through multivariate logistic regression, a nomogram was successfully constructed to predict the failure of resetting by air enema under X-ray. A nomogram was developed to predict the need for surgical intervention after intussusception pneumatic reduction in children. The nomogram was based on clinical risk factors including age, time of abdominal pain, presence or absence of blood in stool, value of C-reactive protein in blood test on admission, and nested position indicated by B-ultrasound. Our internal validation demonstrated that this nomogram can serve as a useful tool for identifying risk factors associated with failure of air enema in children with intussusception.

Early to mid-term clinical outcomes of aortic valve repair in patients with bicuspid aortic insufficiency

Objective: To examine the early to mid-term clinical outcomes of aortic valve repair in patients with bicuspid aortic insufficiency. Methods: This is a retrospective cohort study. The clinical data of 124 patients with BAV insufficiency who underwent aortic valve repair from January 2017 to June 2023 in the Department of Cardiovascular Surgery at Fuwai Hospital were analyzed retrospectively. There were 117 males and 7 females with an age of (38.1±12.7) years (range: 14 to 65 years). Depending on whether the aortic sinus was replaced or not, surgical approaches were divided into valve sparing root replacement (reimplantation, remodeling, modified remodeling) and isolated aortic valve repair (annuloplasty, isolated aortic valve leaflet repair). Perioperative and follow-up data were collected. Kaplan-Meier method was used to plot the curves of survival rate, free recurrence rate of massive aortic valve insufficiency and free re-operation rate, and Log-rank test was used for comparison between groups. Results: Among the surgeries, there were 47 cases of reimplantation, 8 cases of remodeling, 8 cases of modified remodeling, 48 cases of aortic annuloplasty (external annuloplasty in 22 cases, CV-0 annuloplasty in 26 cases), and 13 cases of isolated leaflet repair. Leaflet plication was the most used leaflet repair technique, used in 103 patients. The cardiopulmonary bypass time was (133.7±56.9) minutes (range: 48 to 461 minutes), and aortic cross-clamp time was (103.8±47.8) minutes (range: 25 to 306 minutes), with no surgical mortality. All patients underwent outpatient or telephone follow-up. The cumulative follow-up time was 340.3 person-years and the mean follow-up time was (M (IQR)) 34.0 (25.5) months (range: 3 to 76 months). The 5-year survival rate was 98.4%, the 5-year freedom from significant insufficiency rate was 93.4% and the 5-year freedom from aortic valve reoperation rate was 95.6%. The subgroup analysis revealed a significantly better freedom from the significant insufficiency rate in the aortic valve annular reduction group compared to the non-reduction group (P<0.01). Conclusions: Aortic valve repair in patients with bicuspid aortic insufficiency could obtain steady early to mid-term outcomes. Aortic annuloplasty can reduce the risk of recurrent aortic valve insufficiency in patients undergoing aortic repair.

The Effect of Temporomandibular Joint Disc Displacement Type on Jaw Function Limitation

Aim: Temporomandibular joint disorder (TMD) present symptoms such as pain, swelling, clicking or crepitating sounds, limitations or blockages in jaw movements, and may even affect simple functions such as eating and speaking. This study aims to evaluate the impact of disc displacement type on jaw function in patients with TMD who suffer from disc displacement. Material and Methods: This cohort study was conducted on patients with temporomandibular joint (TMJ) disc displacement. The independent variable was the type of disc displacement. The outcome variable was the scores on the Jaw Functional Limitation Scale-20 (JFLS-20). The covariates included the patient's age and pain score. Data collection methods were carried out using the Diagnostic Criteria for Temporomandibular Disorders (DC/TMD) guidelines and the JFLS-20 questionnaire, with pain levels also assessed using a visual analog scale. Data analysis was performed using ANOVA and Pearson Correlation tests, with a significance level set at 0.05. Results: The study groups were formed by including 72 patients with disc displacement, while the control group was formed by including 28 healthy volunteers. The control group had lower JFLS-20 scores than the disc displacement groups(p&lt;0.05). Although there was no statistically significant difference in JLFS-20 scores between the disc displacement groups, disc displacement with reduction group had significantly lower pain scores than both disc displacement without reduction groups(p&lt;0.05). Conclusion: It was observed that individuals with disc displacement experience restricted jaw functions, and this limitation is not affected differently by the various subtypes of disc displacement.

Critical distance of the sacroiliac joint for open reduction using screw fixation for traumatic sacroiliac joint diastasis: a retrospective study

BackgroundOsteosynthesis for sacroiliac joint (SIJ) diastasis using an iliosacral screw (ISS) and a trans-iliac-trans-sacral screw (TITSS) can be performed using a closed or an open method. However, no clear indication for open reduction has been established.MethodsData on patients with unilateral traumatic SIJ diastasis who underwent ISS and TITSS fixation were retrospectively collected and separated into groups according to the reduction method: closed reduction group (C group) and open reduction group (O group). Demographic data and perioperative image assessments were compared between the groups. The critical distance of the SIJ was identified to elucidate the indication for open reduction of the diastatic SIJ.ResultsFifty-six patients met the inclusion criteria over a 3-year period. There was no significant difference in the reduction quality of pelvic ring injuries between the groups, according to Matta’s and Lefaivre’s criteria. The improvement in the SIJ distance was significantly greater in the O group than in the C group in the axial plane on multiplanar computed tomography (p = 0.021). This model predicted that a difference of > 3.71 mm between the injured and healthy SIJ was a recommended indication for open reduction, with an area under the curve of 0.791 (95% confidence interval 0.627–0.955, p = 0.004).ConclusionsOpen reduction for SIJ diastasis might achieve better reduction quality than does closed reduction in the axial plane in selected cases. When the difference between the injured and healthy SIJ was wider than 3.71 mm, open reduction was recommended for satisfactory radiological outcomes.

Clinical efficacy and kinematic analysis of Chinese knotting technique-assisted posterior cruciate ligament reconstruction: A retrospective analysis.

To investigate the clinical efficacy and knee joint kinematic changes of posterior cruciate ligament (PCL) reconstruction assisted by Chinese knotting technique (CKT). A retrospective analysis was conducted on 88 cases of PCL reconstructive surgery admitted between September 2016 and September 2020. All patients were operated on by the same senior doctor and his team. The patients were divided into 2 groups according to whether the CKT was applied, with 44 cases in each group. Both groups received active rehabilitation treatment after surgery. All patients were followed up for more than 2 years. International knee documentation committee, hospital for special surgery (HSS), and Lysholm scores were used to evaluate the clinical efficacy of the 2 methods at 3, 12, and 24 months after surgery. The motion cycle and kinematic indices of the knee joint were measured by the Opti_Knee three-dimensional motion measurement system before surgery and at 3, 12, and 24 months after surgery. A secondary arthroscopic examination was performed at 12 months after surgery, MAS score was used to evaluate the secondary endoscopic examination of PCL. All the patients had wound healing in stage I without infection. International Knee in both sets Documentation Committee scores, HSS scores and Lysholm scores were gradually improved at all time points (P < .05); compared with the traditional group, the HSS score was higher in the reduction group 12 months after surgery (P < .05), but there was no significant difference at 24 months after surgery. 12 months and 24 months after 3 dimensional motion measurement system using Opti_Knee showed a reduction group before and after displacement and displacement of upper and lower range than the traditional group (P < 0. 05). One year after surgery, the good and good rate of MAS score reduction group was higher than traditional group. CKT assisted PCL reconstruction can improve the subjective function score of the affected knee joint and the results of secondary microscopy. Satisfactory knee kinematic function can be obtained in the early stage, and the anteroposteric relaxation of the knee joint can be reduced.

Mixed Hodge structures on character varieties of nilpotent groups

AbstractLet $$\textsf{Hom}^{0}(\Gamma ,G)$$ Hom 0 ( Γ , G ) be the connected component of the identity of the variety of representations of a finitely generated nilpotent group $$\Gamma $$ Γ into a connected reductive complex affine algebraic group G. We determine the mixed Hodge structure on the representation variety $$\textsf{Hom}^{0}(\Gamma ,G)$$ Hom 0 ( Γ , G ) and on the character variety $$\textsf{Hom}^{0}(\Gamma ,G)/\!\!/G$$ Hom 0 ( Γ , G ) / / G . We obtain explicit formulae (both closed and recursive) for the mixed Hodge polynomial of these representation and character varieties.

Effects of Virtual Reality Therapy Combined With Conventional Rehabilitation on Pain, Kinematic Function, and Disability in Patients With Chronic Neck Pain: Randomized Controlled Trial.

Neck pain is a common condition that leads to neck motor dysfunction and subsequent disability, with a significant global health care burden. As a newly emerging tool, virtual reality (VR) technology has been employed to address pain and reduce disability among patients with neck pain. However, there is still a lack of high-quality studies evaluating the efficacy of VR therapy combined with conventional rehabilitation for patients with chronic neck pain, particularly in terms of kinematic function. This study aims to investigate the effect of VR therapy combined with conventional rehabilitation on pain, kinematic function, and disability in patients with chronic neck pain. We conducted an assessor-blinded, allocation-concealed randomized controlled trial. Sixty-four participants experiencing chronic neck pain were randomly allocated into the experimental group that underwent VR rehabilitation plus conventional rehabilitation or the control group receiving the same amount of conventional rehabilitation alone for 10 sessions over 4 weeks. Pain intensity, disability, kinematic function (cervical range of motion, proprioception, and mean and peak velocity), degree of satisfaction, and relief of symptoms were evaluated at 3 timepoints (baseline, postintervention, and at 3 months follow-up). A 2*3 mixed repeated measures analysis of variance was utilized for analyzing the difference across indicators, with a significant difference level of .05. Both groups demonstrated significant improvements in pain, disability, and kinematic functions (P<.05) at postintervention and at 3-month follow-up. The experimental group showed superior therapeutic outcomes compared to the control group in pain reduction (mean difference from the baseline: 5.50 vs 1.81 at posttreatment; 5.21 vs 1.91 at the 3-month follow-up, respectively; P<.001), disability improvement (mean difference from baseline: 3.04 vs 0.50 at posttreatment; 3.20 vs 0.85 at the 3-month follow-up, respectively; P<.001), and enhanced kinematic functions (P<.05). Moreover, participants in the experimental group reported better satisfaction and relief of symptoms than the control group (P<.05), with better initiative for exercising during the follow-up period. However, there was no between-group difference of improvement in proprioception. No adverse events were reported or observed in our research. The findings of our study support the efficacy of combining VR therapy with conventional rehabilitation in alleviating pain, enhancing kinematic function, and reducing disability of patients with chronic neck pain. Future research should focus on refining the therapeutic protocols and dosages for VR therapy as well as on optimizing its application in clinical settings for improved convenience and effectiveness. Chinese Clinical Trial Registry ChiCTR2000040132; http://www.chictr.org.cn/showproj.aspx?proj=64346.

Reductive Sn2+ Compensator for Efficient and Stable Sn-Pb Mixed Perovskite Solar Cells.

Tin-lead (Sn-Pb) mixed perovskite with a narrow bandgap is an ideal candidate for single-junction solar cells approaching the Shockley-Queisser limit. However, due to the easy oxidation of Sn2+, the efficiency and stability of Sn-Pb mixed perovskite solar cells (PSCs) still lag far behind that of Pb-based solar cells. Herein, highly efficient and stable FA0.5MA0.5Pb0.5Sn0.5I0.47Br0.03 compositional PSCs are achieved by introducing an appropriate amount of multifunctional Tin (II) oxalate (SnC2O4). SnC2O4with compensative Sn2+ and reductive oxalate group C2O4 2- effectively passivates the cation and anion defects simultaneously, thereby leading to more n-type perovskite films. Benefitting from the energy level alignment and the suppression of bulk nonradiative recombination, the Sn-Pb mixed perovskite solar cell treated with SnC2O4 achieves a power conversion efficiency of 21.43%. More importantly, chemically reductive C2O4 2- effectively suppresses the notorious oxidation of Sn2+, leading to significant enhancement in stability. Particularly, it dramatically improves light stability.

The Weyl law for algebraic tori

We give an asymptotic evaluation for the number of automorphic characters of an algebraic torus T with bounded analytic conductor. The analytic conductor is defined via the local Langlands correspondence for tori by choosing a finite-dimensional complex algebraic representation of the L -group of T . Our results therefore fit into a general framework of counting automorphic representations on reductive groups by analytic conductor.

Systolic blood pressure reduction strategies in acute ischemic stroke patients following endovascular thrombectomy: a systematic review and meta-analysis

Background and AimsThere is no clear consensus on ideal systolic blood pressure (SBP) target post-endovascular thrombectomy (EVT) in patients with acute ischemic stroke. This study intends to investigate the relationship between reducing SBP and clinical outcomes and to determine the therapeutic efficacy of moderate and intensive SBP reduction post EVT. MethodsA comprehensive search was conducted across five electronic databases to identify studies relevant to our analysis. Data from these studies were then analyzed using pooled relative risk (RR) along with their corresponding 95 % confidence intervals (CI) for our categorical outcomes. functional independence at 90 days post-EVT was defined as a modified Rankin score (mRS) 0-2. ResultsOur meta-analysis included eight studies with 2922 patients: 1376 patients were treated with intensive SBP reduction, 306 with moderate SBP reduction, and 1243 with standard SBP reduction. There was no difference in the risk of functional independence at 90 days post-EVT with both intensive-SBP reduction (target 120-140 mmHg, relative risk (RR) =1.05, 95 % CI 0.82, 1.34, p = 0.72) and moderate-SBP reduction (>160 mm Hg) (RR= 0.95, 95 % CI 0.69, 1.31, p = 0.76) compared with standard SBP reduction (>180 mm Hg). The risk of symptomatic intracranial hemorrhage (sICH) did not significantly differ between standard-SBP reduction and intensive-SBP reduction (RR = 0.93, 95 % CI 0.66, 1.31, p = 0.36) or moderate-SBP reduction (0.72 (95 % CI [0.28, 1.87], p = 0.50) groups, respectively. Intensive-SBP reduction significantly decreased the risk of hemicraniectomy. ConclusionsWe did not identify any difference in functional independence at 90 days in acute ischemic stroke patients with either intensive-SBP reduction or moderate-SBP reduction compared with standard SBP reduction post-EVT.

Comparison of clinical outcomes and complications in 2-part vs. 3- or 4-part proximal humerus fractures treated using an intramedullary nail designed to capture the tuberosities

Intramedullary nail fixation for proximal humerus fractures has been shown to provide satisfactory results. The quality of reduction correlates with clinical outcomes, the rate of complications, avascular necrosis, and postoperative loss of fixation. The purpose of this study was to evaluate the clinical outcomes and complications of 2-part proximal humerus fractures compared to 3- or 4-part proximal humerus fractures. A single-center retrospective review was carried out of patients who underwent an intramedullary nail for a proximal humerus fracture by one of three surgeons between the years of 2009 and 2022, and who had a minimum of 12-months follow-up. Fracture pattern, American Shoulder and Elbow Surgeons score, Single Assessment Numeric Evaluation score, satisfaction, pain score, range of motion, and complications were recorded. The mechanism of injury (high energy vs. low energy), method of reduction (open vs. percutaneous), and evidence of radiographic healing were assessed. A P value of <.05 was considered to be statistically significant. The study included 78 patients (62 female, 16 male). The number of patients in each group (2-part, N=32 vs. 3- or 4-part, N=46), mean age (2-part, 64 vs. 3- or 4-part,61), follow-up (2-part, 42.5 months vs. 3- or 4-part, 34.5 months), injury type (2-part, 88% low energy vs. 3- or 4-part, 78% low energy), and method of reduction (2-part, 81% percutaneous vs. 3- or 4-part 72% percutaneous) were similar among the two groups. There was fracture union in all patients. All patients demonstrated satisfactory patient-reported outcome measures. However, 2-part fractures did have a significantly lower pain score, higher Single Assessment Numeric Evaluation score, and higher percentage of patients being satisfied or very satisfied when compared to 3- or 4-part fractures. The rate of subsequent procedures was 13% (n=4) in 2-part fractures compared to 19% (n=9) in 3- or 4-part fractures but was not statistically significant (P=.414). The overall rate of conversion to arthroplasty was 3.2% in 2-part fractures and 10.4% in 3- or 4-part fractures. Multipart proximal humerus fractures remain difficult to treat. However, this study demonstrates an overall acceptable outcome with improvement in range of motion, patient-reported outcomes, and similar complication rates between 2-part and 3- or 4-part proximal humerus fractures treated with an intramedullary nail. However, the improvement in certain parameters is not as marked in 3- or 4-part fractures as 2-part fractures.

The Weyl law for congruence subgroups and arbitrary K∞-types

Let G be a reductive algebraic group over Q and Γ⊂G(Q) an arithmetic subgroup. Let K∞⊂G(R) be a maximal compact subgroup. We study the asymptotic behavior of the counting functions of the cuspidal and residual spectrum, respectively, of the regular representation of G(R) in L2(Γ﹨G(R)) of a fixed K∞-type σ. A conjecture, which is due to Sarnak, states that the counting function of the cuspidal spectrum of type σ satisfies Weyl's law and the residual spectrum is of lower order growth. Using the Arthur trace formula we reduce the conjecture to a problem about L-functions occurring in the constant terms of Eisenstein series. If G satisfies property (L), introduced by Finis and Lapid, we establish the conjecture. This includes classical groups over a number field.

Product structure and regularity theorem for totally nonnegative flag varieties

The totally nonnegative flag variety was introduced by Lusztig. It has enriched combinatorial, geometric, and Lie-theoretic structures. In this paper, we introduce a (new) J\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$J$\\end{document}-total positivity on the full flag variety of an arbitrary Kac-Moody group, generalizing the (ordinary) total positivity.We show that the J\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$J$\\end{document}-totally nonnegative flag variety has a cellular decomposition into totally positive J\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$J$\\end{document}-Richardson varieties. Moreover, each totally positive J\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$J$\\end{document}-Richardson variety admits a favorable decomposition, called a product structure. Combined with the generalized Poincare conjecture, we prove that the closure of each totally positive J\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$J$\\end{document}-Richardson variety is a regular CW complex homeomorphic to a closed ball. Moreover, the J\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$J$\\end{document}-total positivity on the full flag provides a model for the (ordinary) totally nonnegative partial flag variety. As a consequence, we prove that the closure of each (ordinary) totally positive Richardson variety is a regular CW complex homeomorphic to a closed ball, confirming conjectures of Galashin, Karp and Lam in (Adv. Math. 351:614–620, 2019). We also show that the link of the totally nonnegative part of U−\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$U^{-}$\\end{document} for any Kac-Moody group forms a regular CW complex. This generalizes the result of Hersh (Invent. Math. 197(1):57–114, 2014) for reductive groups.

Paley Wiener Theorem on a Reductive Lie Group

Let G be a locally compact group, K a maximal compact subgroup of G and δ on arbitrary class of irreducible unitary representations of K. The spherical Grassmannian Gp,δ is an equivalence class of spherical functions of type δ−positive of height p. In this work, we give an extension of orbital integral with respect to δ, when G is reductive Lie group. Moreover, if the discret serie is not empty, we give an extension of Paley-Wiener theorem using a compact Cartan subgroup of G.

On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations

In this paper we describe several new aspects of the foundations of the representation theory of the space of smooth-automorphic forms (i.e., not necessarily K∞\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$K_\\infty $$\\end{document}-finite automorphic forms) for general connected reductive groups over number fields. Our role model for this space of smooth-automorphic forms is a “smooth version” of the space of automorphic forms, whose internal structure was the topic of Franke’s famous paper (Ann Sci de l’ENS 2:181–279, 1998). We prove that the important decomposition along the parabolic support, and the even finer—and structurally more important—decomposition along the cuspidal support of automorphic forms transfer in a topologized version to the larger setting of smooth-automorphic forms. In this way, we establish smooth-automorphic versions of the main results of Franke and Schwermer (Math Ann 311:765–790, 1998) and of Mœglin and Waldspurger (Spectral Decomposition and Eisenstein Series, Cambridge University Press, 1995), III.2.6.

Sandwich elements and the Richardson property

A restricted Lie algebra L over an algebraically closed field k of characteristic p>0 is said to possess the Richardson property if there exists a finite dimensional faithful restricted L-module V with associated representation ρ:L→gl(V) such that gl(V)=ρ(L)⊕R where R is a subspace of gl(V) such that [ρ(L),R]⊆R. In [31], the author conjectured that if L has the Richardson property with respect to an irreducible restricted L-module V then there exists a reductive algebraic group G over k such that L≅Lie(G) as restricted Lie algebras. In this note we confirm this conjecture under the assumption that p>3. This assumption is needed since our proof relies in a crucial way on the classification of Lie algebras without strong degeneration obtained in [25] for p>5 and in [24] for p=5.

Cumulative histogram as a feature selection technique for anomaly detection

AbstractThe enhancement of Intrusion Detection Systems (IDS) is required to ensure protection of network resources and services. This is a hot research topic, especially in the presence of advanced intrusions and attacks. This paper provides a comparison between Distributed Cumulative Histogram (DCH) as a Feature Selection (FS) technique, Information Gain Ratio (IGR) FS and wrapper-based FS in terms of accuracy and Root Mean Square Error (RMSE). The utilization of DCH of the traffic instances in normal and attack cases allows us to compare the traffic charts. We can observe the difference between effective features and less effective ones. We verify the feasibility of using DCH as an FS technique in the field of anomaly detection with just six selected features giving more accurate results with most classifiers compared to the IGR and wrapper-based FS. We applied our experiments on the modern UNSW dataset with the WEKA simulation platform that contains a group of classification, feature reduction and selection techniques.

Effect of the application of digital technology-assisted optimization in the process of adjusting jaw position.

The aim of this study was to demonstrate a novel jaw position adjustment technique derived from digital twins and evaluate the application effect of digital technology-assisted optimization in the process of adjusting jaw position on patients with temporomandibular disorders (TMD). A total of 74 patients with TMD who attended the Department of Temporomandibular Joint, West China Hospital of Stomatology, Si-chuan University, between June 2022 and May 2023 were selected. The patient's initial computed tomography (CT) and bilateral temporomandibular joint data obtained by magnetic resonance imaging (MRI) were collected. The 148 joints were divided into the normal disc-condyle relationship (N) group, disc displacement with reduction (DDWR) group, and disc displacement without reduction (DDWoR) group. Assisted by digital technology, the patient's CT data were reconstructed, and a personalized reference plane was established to adjust the jaw position. A three-point bite guiding splint was designed by the adjusted occlusal space and then fabricated by 3D printing technology. It was worn by the patients and then reviewed by MRI. Before and after the adjustment of jaw position, the amount and direction of condyle and disc displacement and the angle between condyle and disc were measured as the evaluation indexes of the effect of the adjustment. The correlation with condylar displacement was evaluated. In the N group, the disc moved backward and downward along the X and Z axes by (-0.60±0.62) and (0.51±0.71) mm, respectively. In the DDWR group, the disc moved backward and upward along the X and Z axes by (-1.33±1.38) and (-0.09±1.31) mm, respectively. In the DDWoR group, the disc moved forward and downward along the X and Z axes by (0.49±1.76) and (1.35±1.76) mm, respectively. The angle between the condyle and the disc decreased after adjustment of the jaw position in all three groups. All patients showed improvement in symptoms after adjustment. Digital technology-assisted jaw position adjustment can simplify the process, reduce the sensitivity of the technique, and improve patients' disc-condyle structure and symptoms. Therefore, its application in the treatment of patients with TMD is of great clinical significance.

Parameters of Hecke algebras for Bernstein components of [formula omitted]-adic groups

Let G be a reductive group over a non-archimedean local field F. Consider an arbitrary Bernstein block Rep(G)s in the category of complex smooth G-representations. In earlier work the author showed that there exists an affine Hecke algebra H(O,G) whose category of right modules is closely related to Rep(G)s. In many cases this is in fact an equivalence of categories, like for Iwahori-spherical representations.In this paper we study the q-parameters of the affine Hecke algebras H(O,G). We compute them in many cases, in particular for principal series representations of quasi-split groups and for classical groups.Lusztig conjectured that the q-parameters are always integral powers of the cardinality of the residue field of F, and that they coincide with the q-parameters coming from some Bernstein block of unipotent representations. We reduce this conjecture to the case of absolutely simple p-adic groups, and we prove it for most of those.