Vertical Line Research Articles

Half-Isolated Zeros and Zero-Density Estimates

Abstract We introduce a new method to detect the zeros of the Riemann zeta function, which is sensitive to the vertical distribution of the zeros. This allows us to prove there are few “half-isolated” zeros. By combining this with classical methods, we improve the Ingham–Huxley zero-density estimate under the assumption that the non-trivial zeros of the zeta function are restricted to lie on a finite number of fixed vertical lines. This has new consequences for primes in short intervals under the same assumption.

Matched cross‐spectrum phase processing for source depth estimation in deep water

AbstractZhou et al. (2022) proposed a method for instantaneous source depth estimation in deep water using matched beam intensity processing (MBIP) that leverages depth‐related oscillatory features arising from Lloyd's mirror interference in the frequency domain (Appl. Acoust., 2022, 186, 108493). However, the efficacy of MBIP diminishes with a random source spectrum. To counteract the effect of a random source spectrum, a vertical line array (VLA) positioned near the sea bottom is employed and a cross‐spectrum is generated from the conventional beamforming output, which is achieved by dividing the VLA into upper‐half and lower‐half arrays. The authors find that the cross‐spectrum phase interference pattern is determined by the source depth and is unaffected by the source spectrum. Consequently, a matched cross‐spectrum phase processing method is proposed, which demonstrates appreciable depth estimation accuracy compared to that of the existing techniques, as evidenced by the results from both simulated and experimental data.

Ultrasonic guided wave damage localization method for composite fan blades based on damage-scattered wave difference

Abstract Ultrasonic guided wave (UGW) has a wide monitoring range and high accuracy, holding promise for monitoring damage in engine large-area composite fan blades. However, the multi-curvature characteristics of engine composite fan blades with their anisotropic material properties make damage localization impossible with conventional UGW monitoring methods. In order to realize the UGW damage monitoring of the blade, this paper proposes a damage localization method based on damage-scattered wave difference. The method utilizes irregular sensing arrays to achieve localization of damage in multi-curvature composite blades with a small amount of data. First, the difference between the mutual excitation in a pair of sensors and the damage-scattered waves captured at reception was analyzed. It is concluded that the closer the damage is to the received sensor, the greater the damage index (DI). Next, a DI ratio of the mutually excited and received signals is computed for each sensor pair. This ratio is utilized to make a vertical line on the propagation path, which is identified as the damage likelihood line (DLL). Finally, a DLL corresponding to the three largest DIs was selected, and their intersections were used for damage localization. A time-domain truncated signal processing method is proposed to enable DI to more accurately represent the effects of damage, and improve the localization accuracy of the method. An experiment on damage localization was carried out on a homemade composite fan blade, where the damage was tested at various locations and sizes. The results show that the damage localization on the blade is good and 3mm tiny damage localization is achieved.

Ribs with Anterior Protrusion (Winged Ribs) Treated Using Percutaneous Chondroplasty.

Thoracic features play a significant role in determining various plastic surgery techniques. Particularly, the thorax has potential for excessive anterior projection, commonly referred to as winged ribs. This study aimed to describe a treatment method for addressing winged ribs for aesthetic purposes using percutaneous chondral management. Thirty-two female patients underwent FrontXribs from February to March 2023. Two angular measurements were obtained: (1) the angle formed by lines intersecting tangentially to the shoulder and the lower gluteal border; and (2) the angle formed by a line tangential to the greatest anterior projection, intersected by a vertical line on the standing axis. Length measurements were obtained using a tape measure at the position of the greatest thoracic projection. Pulmonary function studies were conducted. All variables were measured before surgery and 6 months postoperatively. On average, patients were 25 years old. The average operative time was 51.1 minutes, and all patients underwent general anesthesia. The average increase for angular measurement 1 was 26.1 degrees, whereas that for angular measurement 2 was 3.43 degrees. The average decrease in anterior chest length during the postoperative period was 9.66 cm (P < 0.001). Spirometric tests showed no significant changes 6 months postoperatively. The FrontXribs technique for treating winged ribs effectively reduces anterior costal protrusion, as evidenced by the angular variation of projections and the reduction in thoracic length at this level. No adverse effects on respiratory function were observed 6 months postoperatively.

Characterizing Revascularization After Encephalo-Duro-Arterio-Synangiosis (EDAS) in Adult Patients With Moyamoya Disease Using the Orbital Grading System

The Matsushima Grade has traditionally been used to evaluate vessel ingrowth from the STA after EDAS for MMD-patients. However, this grading is subjective and prone to measurement variability. Herein, we propose the orbital grading system quantifying leptomeningeal and burr hole-related vessel-ingrowth from the STA and/or MMA to the middle and anterior cerebral arteries post-EDAS in MMD patients. An anatomical classification was developed by reference to two parallel vertical lines from the bony landmarks of the orbit, categorized from Grade 0-3. Regression models were used to compare clinical and functional outcomes of our grading system with the Matsushima scale. Forty MMD patients, with median age of 48 years, mostly females (72.5%), were included. Presentation included ischemic events (65.0%), hemorrhage (22.5%), and seizures (7.5%). Most patients were categorized as Suzuki ≥ IV (69.5%). Fifty EDAS (89.9%) had concurrent burr holes placed (parietal and frontal regions). At a median follow-up of 13.7 months, collateral growth was graded as follows: grade 0 (6;10.8%), grade 1 (12;21.4%), grade 2 (23;41.1%) and grade 3 (15;26.8%). Linear regression showed similarities in the distribution between the orbital grading system and Matsushima grading (r=0.86;p<0.01). Ischemic events were fewer in hemispheres categorized as grade 2-3 compared to grade 0-1 (p=0.047) as well as in Matsushima grading A or B compared to C (p=0.047). The orbital grading system demonstrated agreement in identifying postoperative ischemic events as the Matsushima grade and provides a more practical and objective evaluation of collateral vessel ingrowth after EDAS with and without burr-holes.

Automatic human height measurement system based on camera sensor with deep-learning and linear regression analysis

This study proposes a new approach for automatically measuring human height using a camera sensor with deep learning and linear regression analysis. The camera sensor is used to capture real-time images of human objects. The image is then processed with a YOLO4-based convolutional neural network (CNN) to separate the region of interest (ROI) of the human object from the background. The pixel value of the ROI vertical line is then converted into height in centimeters by the linear regression equation. The system was tested on 40 primary samples, with 20 samples used as control data and 20 samples used as test data. From the results of testing 20 control data samples, the linear regression equation was obtained as y' = 0.4034x + 24.938, which was then applied to convert the system's predicted height in centimeters for 20 test samples. The test results for 20 test samples showed that an average F1_score was 1, the R_square obtained was 0.93, the root mean square errors (RMSE) was 0.02, and the percentage of accuracy was 99.00%. The test results showed that the system was able to automatically detect human height with a very high level of correlation/similarity and accuracy between actual and predicted height.

Radiated power and soft x-ray diagnostics in the SMART tokamak.

A multi-energy soft x-ray diagnostic is planned to operate in the small aspect ratio tokamak (SMART), consisting of five cameras: one for core measurements, two for edge, and two for divertors. Each camera is equipped with four absolute extreme ultra-violet diodes, with three of them filtered by Ti and Al foils for C and O line emissions, respectively, and Be foils for temperature measurements. In addition, two spectrometers will be installed with a vertical line of sight for impurity control. This study introduces a synthetic model designed to characterize radiated power and soft x-ray emissions. The developed code extracts the radiated power and Zeff values by leveraging distributions of electron density, temperatures, and impurity concentrations. The investigation is centered on the predicted scenarios of SMART's first phase of operation (Ip = 100kA; Bt = 0.1T), employing a double-null configuration with positive and negative triangularity. The anticipated impurities encompass C (1%) and Fe (0.01%) from the vessel, as well as O and N (0.1%) from air and water. For simplicity, the distribution is assumed to be homogeneous within the plasma, considering different mixtures with Zeff values ranging between 1 and 2. Finally, the model estimates signal strength for the diagnostic design, proving its feasibility.

Relationship of Kinematic Variables with the Performance of uprise on rings in Men’s Artistic Gymnastics

An investigationwas done to find the relation between selected kinematic variables and theperformance of uprise on rings in men’s artistic gymnastics.The study was conducted on national-levelgymnasts. The data on angular kinematic variables were collected on four different phases of uprise onrings. Linear kinematic variables were identifiedon two different phases of uprise on rings.The angular kinematic variables did not show any significant relationship at the 0.05 level at theDislocation Phase.Duringthe Vertical Line Cross Phasea significant relationship was found between angle atthe ankle andthe hipangle. InKicking and Pulling Phase angle at the left hip joint and the performance of Uprisehasshown a significant relationship.During the Supporting phase angle at the neck and the performance ofUprisewas showing a significant relationship, and also the angle of the left Wrist correlated significantlywith the angle of the Hip.Results also reveal that none of the linear kinematic variables at different Phases of Uprise showed anysignificant relationship at 0.05 level

Detecting Manufacturing Defects on Printed Circuit Boards Using Metamaterial-Based Circular Microstrip Patch Antenna

In this study, a microstrip circular patch antenna is designed having a metamaterial-based (MTM) ground plane to detect manufacturing defects of short circuits and open circuits on printed circuit boards (PCB). In that regard, PCB specimens of FR-4 as the substrate and copper microstrip lines as the conductive wiring lines are designed and manufactured. Five vertical copper lines printed side by side on the top of the substrate are used to demonstrate the working mechanism of the designed antenna sensor. Two different defect scenarios of open and short circuits with controlled locations are studied to determine variations in the return loss data of the proposed structure. MTM cell structures with cross lines enclosed by an octagon ring are periodically placed as part of the ground plane of the proposed antenna to obtain higher sensitivity of the designed and manufactured sensor. Antenna return loss behaviors in terms of the locations of the faults are employed to prepare a database to detect not only the presence of the faults but also determine their locations. Since the samples to be measured are not irreversibly damaged during the testing process, the proposed design can be considered a non-destructive measurement method to provide information about the type and location of defects with real-time measurement data.

Shallow water source depth discrimination based on a vertical linear array using deep learning

This study aims to explore source depth discrimination in shallow water waveguides using a vertical line array. Due to the similarity in physical characteristics of features and environmental parameters, the feature distributions of shallow and deep sources overlap in feature space. This overlap is further exacerbated by strong background noise, reducing detection reliability. Therefore, a deep learning-based source depth discrimination (DL-SDD) scheme is proposed. Specifically, this scheme is based on a residual structure, embedding channel attention mechanisms into the deep structure to eliminate noise-related information gradually. Furthermore, a specially designed loss function considers inter-class and intra-class distances to achieve compact and mutually distant distributions of source features. When this loss function is applied, the overlap of source feature distributions is suppressed in end-to-end feature learning, leading to a high detection probability. The numerical simulations demonstrate that the proposed DL-SDD outperforms traditional method, achieving a 7 % increase in detection probability and a 15 % decrease in false alarm rate, even near the discrimination depth. Furthermore, the discrimination depth is reduced by nearly half. Experimental results from the South China Sea validate the effectiveness of the proposed DL-SDD.

POSTURE CORRECTION IN MIDDLE SCHOOL STUDENTS USING APPLIED KINESIOLOGY

The purpose of the study was to evaluate the effectiveness and feasibility of using applied kinesiology in a posture correction program for middle school children. The study involved 20 children aged 14-15 years (10 girls and 10 boys) who had postural disorders in the frontal plane. Three methods were used to assess posture: visual diagnosis, diagnosis by plumb line, and scoliosis measurement. Visual diagnosis included the evaluation of posture symmetry by shoulder height, scapula angles, and waist triangles symmetry. Diagnosis by plumb line assessed the alignment of spinous processes along a vertical line. Scoliometry was used to measure the degree of spinal curvature. The posture correction program included manual muscle testing, kinesio taping, manual techniques (ischemic pressure of trigger points, fascial release using a vibration gun, deep point massage), and special corrective exercises. The results showed a significant decrease in scoliosis measurements in all students, from 8.6 to 4 degrees. This indicates the effectiveness of applied kinesiology in correcting postural disorders in middle school children. Performing the exercises helped inhibit old and establish new connections in the cerebral cortex by building new motor pathways. Additionally, it fostered an understanding and habit of maintaining correct posture in children. Overall, the study demonstrated that applied kinesiology is an effective method for correcting postural disorders in middle school-aged children, leading to better posture habits and improved spinal alignment.

Controlling a Virtual Structure Involving a UAV and a UGV for Warehouse Inventory

A control system based on the control paradigm of virtual structure is here proposed for a multi-robot system involving a quadrotor and a ground vehicle, operating in an automated warehouse. The ground robot can either provide extra power to the quadrotor, thus increasing its autonomy, or receive data from it. Therefore, the quadrotor is tethered to the ground robot through flexible cables, thus justifying the adoption of the virtual structure control paradigm, which allows controlling the two vehicles simultaneously. The control approach adopted aims at guiding the virtual vertical line joining the two robots to allow the quadrotor to produce an inventory of goods in an automated warehouse. Therefore, the two robots should visit a sequence of known positions, in front of cabinets of vertically arranged shelves. In each of them the quadrotor should read QR codes, bar-codes or RFID cards corresponding to the stored boxes, to produce the inventory. Therefore, the control objective, the focus of this paper, is to keep the shape of the virtual vertical line linking the two robots while moving. However, when an obstacle appears in the route, such as a box or other robot in the floor or another aerial robot, the formation changes its shape accordingly, to avoid the obstacle. An experiment in lab scale, mimicking a real situation, is run, whose results allow claiming that the proposed system is an effective solution for the problem of controlling a multi-robot system to produce an inventory in an automated warehouse.

Localization of asterion and its relationship to the transverse and sigmoid venous sinuses.

Asterion has been recognized as the external skull landmark for localization of the transverse and sigmoid sinus junction (TSJ). This study aimed to localize the asterion using the intersection of the Frankfurt horizontal plane (FHP) line and a vertical line from the mastoid tip, and to determine its relationship with the transverse and sigmoid sinuses. Distances from the asterion to the FHP and vertical line were measured on 200 dry skulls (100 males and 100 females). In addition, 48 cadavers (24 males and 24 females) underwent asterion drilling, and the relationship with the transverse and sigmoid sinuses was recorded. In most skulls, the asterion was superior to the FHP line, with average distances of 0.5 ± 0.3 cm on both sides. Distances to the vertical line were 3.7 ± 0.4 cm and 3.9 ± 0.4 cm for the left and right sides, respectively. These distances were statistically significant different between sides but not between sexes. The location of asterion was mainly over the TSJ (54%) and transverse sinus (42%). The accuracy of a predictive method was evaluated in additional 10 cadavers. The predicted positions were located with distances ranging from 0 to 1.3 cm in the horizontal plane (0.4 ± 0.4 cm) and 0 to 0.7 cm in the vertical plane (0.3 ± 0.2 cm) from the asterion. This study confirms the anatomical relationship between the asterion and TSJ including the transverse sinus. Alternative method for localizing the asterion was also introduced.

A Study on the Application of Task-Driven Teaching Method in High School Mathematics Teaching: Taking “The Determination of Vertical Line and Plane” as an Example

The “Ordinary High School Mathematics Curriculum Standards (2017 Edition, 2020 Revision)” clearly stated in “Teaching Suggestions” that “teaching activities based on the core literacy of mathematics should grasp the essence of mathematics, create appropriate teaching situations, put forward appropriate mathematical questions, stimulate students to think and communicate, and form and develop the core literacy of mathematics.” The task-driven teaching model is a new type of teaching method that takes tasks as the main line, teachers as the guide, and students as the main body, which can enable students to engage deeply in classroom discussions and think actively. Based on the characteristics and principles of the task-driven teaching method, this paper designs a high school mathematics classroom teaching based on the task-driven teaching method, hoping to provide a reference for the majority of front-line teachers.

Cranial sagittal vertical axis to the hip as the best sagittal alignment predictor of patient-reported outcomes at 2 years postoperatively in adult spinal deformity surgery.

The objective was to discern whether the cranial sagittal vertical axis (CrSVA) can best predict the trajectory of patient-reported outcome measures (PROMs) at 2 years postoperatively. This was a retrospective cohort study of prospectively collected adult spinal deformity patient data. CrSVA relative to the sacrum, hip (CrSVA-H), knee, and ankle was measured as the horizontal distance to the vertical plumb line from the nasion-inion midpoint, with positive values indicating an anterior cranium. Standard sagittal alignment parameters were also collected. Outcome variables were PROMs as measured by Scoliosis Research Society-22r questionnaire (SRS-22r) total and subdomain scores and the Oswestry Disability Index. Pearson's correlation coefficients and univariate regressions were performed to investigate associations between predictors and PROMs. Two conceptual multivariable linear regression models for each 2-year outcome measure were built after adjusting for the impact of preoperative SRS-22r scores. Model 1 assessed pre- and postoperative alignment only relative to C2 and C7, while model 2 assessed alignment relative to C2 and C7 as well as the cranium. There was a total of 363 patients with 2 years of radiographic and PROM follow-up (68.0% female, mean [standard error of the mean] age 60.8 [0.78] years, BMI 27.5 [0.29], and total number of instrumented levels 12.8 [0.22]). CrSVA measures were significantly associated with the 2-year SRS-22r total and subdomain scores. In univariate regression, revision surgery, number of prior surgeries, frailty, BMI, total number of osteotomies, and lower baseline total SRS-22r score as well as postoperative sagittal alignment were significantly associated with worse 2-year SRS-22r scores. In multivariable regression, after adjusting for baseline SRS-22r scores, greater preoperative C2 to sacrum sagittal vertical axis (SVA) and C7 SVA were found to be the only independent predictors of 2-year total SRS-22r score (β = -0.011 [p = 0.0026] and β = 0.009 [p = 0.0211], respectively) when alignment was considered only relative to C2. However, in the subsequent model, CrSVA-H replaced C7 SVA as the independent factor driving postoperative SRS-22r total scores (β = -0.006, p < 0.0001). That is, when the model included alignment relative to the cranium, C2, and C7, greater or more anterior CrSVA-H resulted in worse SRS-22r scores, while smaller or more posterior CrSVA-H resulted in better scores. Similar models for subdomains again found CrSVA-H to be the best predictor of function (β = -0.0095, p < 0.0001), pain (β = -0.0091, p < 0.0001), self-image (β = -0.0084, p = 0.0004), and mental health (β = -0.0059, p = 0.0026). In multivariable regression, C7 SVA was supplanted by CrSVA-H alignment as a significant, independent predictor of 2-year SRS-22r scores in patients with adult spinal deformity and should be considered as one of the standard postoperative sagittal alignment target goals.

Femoral Neck Fractures With Associated Ipsilateral Femoral Shaft Fractures in Young Adults

To analyze patients, injury patterns, and treatment of femoral neck fractures (FNFs) in young patients with FNFs associated with shaft fractures (assocFNFs) to improve clinical outcomes. The secondary goal was to compare this injury pattern to that of young patients with isolated FNFs (isolFNFs). Retrospective multicenter cohort series. Twenty-six North American level-1 trauma centers. Skeletally mature patients, <50 years old, treated with operative fixation of an FNF with or without an associated femoral shaft fracture. The main outcome measurement was treatment failure defined as nonunion, malunion, avascular necrosis, or subsequent major revision surgery. Odds ratios for these modes of treatment were also calculated. Eighty assocFNFs and 412 isolFNFs evaluated in this study were different in terms of patients, injury patterns, and treatment strategy. Patients with assocFNFs were younger (33.3 ± 8.6 vs. 37.5 ± 8.7 years old, P < 0.001), greater in mean body mass index [BMI] (29.7 vs. 26.6, P < 0.001), and more frequently displaced (95% vs. 73%, P < 0.001), "vertically oriented" Pauwels type 3, P < 0.001 (84% vs. 43%) than for isolFNFs, with all P values < 0.001. AssocFNFs were more commonly repaired with an open reduction (74% vs. 46%, P < 0.001) and fixed-angle implants (59% vs. 39%) (P < 0.001). Importantly, treatment failures were less common for assocFNFs compared with isolFNFs (20% vs. 49%, P < 0.001) with lower rates of failed fixation/nonunion and malunion (P < 0.001 and P = 0.002, respectively). Odds of treatment failure [odds ratio (OR) = 0.270, 95% confidence interval (CI), 0.15-0.48, P < 0.001], nonunion (OR = 0.240, 95% CI, 0.10-0.57, P < 0.001), and malunion (OR = 0.920, 95% CI, 0.01-0.68, P = 0.002) were also lower for assocFNFs. Excellent or good reduction was achieved in 84.2% of assocFNFs reductions and 77.1% in isolFNFs (P = 0.052). AssocFNFs treated with fixed-angle devices performed very well, with only 13.0% failing treatment compared with 51.9% in isolFNFs treated with fixed-angle constructs (P = <0.001) and 33.3% in assocFNFs treated with multiple cannulated screws (P = 0.034). This study also identified the so-called "shelf sign," a transverse ≥6-mm medial-caudal segment of the neck fracture (forming an acute angle with the vertical fracture line) in 54% of assocFNFs and only 9% of isolFNFs (P < 0.001). AssocFNFs with a shelf sign failed in only 5 of 41 (12%) cases. AssocFNFs in young patients are characterized by different patient factors, injury patterns, and treatments, than for isolFNFs, and have a relatively better prognosis despite the need for confounding treatment for the associated femoral shaft injury. Treatment failures among assocFNFs repaired with a fixed-angle device occurred at a lower rate compared with isolFNFs treated with any construct type and assocFNFs treated with multiple cannulated screws. The radiographic "shelf sign" was found as a positive prognostic sign in more than half of assocFNFs and predicted a high rate of successful treatment. Therapeutic Level III. See Instructions for Authors for a complete description of levels of evidence.

VPL-SLAM: A Vertical Line Supported Point Line Monocular SLAM System

VPL-SLAM: A Vertical Line Supported Point Line Monocular SLAM System

Wetted Front Advance under Surface Vertical Line Segment Source for Designing Drip Irrigation for Deep Rooted Crops

Wetted Front Advance under Surface Vertical Line Segment Source for Designing Drip Irrigation for Deep Rooted Crops

Vertical line time domain green function and its applications in numerical simulation of ship seakeeping performance

In present study, a vertical line source time domain Green function is proposed and the subsequent numerical evaluation methods are described in detail. For which, Taylor expansion and Chebyshev approximation algorithms are originally extended from point source to line source for small parameters, as well as asymptotic expansions are extended for large parameters. Meanwhile, polynomials are originally proposed to replace the asymptotic expansions to improve the computational efficiency. The accuracy and stability of the proposed method are validated through several cases and good agreement can be obtained.Furthermore, a hybrid Green function method based on the vertical line source Green function and Rankine source is developed for time domain simulation of seakeeping performances of ships. With respect to the hybrid method, the flow domain is divided into inner part and outer part by an artificial control surface. The first-order Taylor Expansion Boundary Element Method (TEBEM) based on the Rankine panel distribution is applied in the inner part, while three-dimensional panel method based on the vertical line source Green function distribution is adopted in the outer part. Under this circumstance, motions of the single-ship (Slender Wigley and Blunt Wigley) and two-ship (two side-by-side ships) in head waves are numerically investigated. The numerical results agree well with the experimental data, which proved the feasibility and the accuracy of present hybrid Green function method for motion prediction of both single-ship and two-ship.

Speech Act Of Refusal On Vertical Line Levels In Japanese And Indian Cultures

This study aims to describe the refusal speech acts of Japanese and Indian people in the context of vertical relationship lines. The research employs a cross-cultural pragmatic approach with a qualitative descriptive paradigm method. Data collection was carried out using the Discourse Completion Task (DCT) method on native Japanese and Indian speakers. Data were analyzed using Brown and Levinson's politeness theory and Ochi Suzuki's refusal strategies, presented through a descriptive analysis model. The results indicate differences in the refusal speech acts of Japanese and Indian people within vertical relationship lines. Japanese people, in this context, tend to use indirect refusals, employing various methods to show respect and avoid offending the interlocutor. This is influenced by factors such as social status, social distance, kinship relations, and the speaker's age. Indirect refusals often involve expressions of apology and the use of different language forms. There are slight differences between male and female refusal speech acts in Japanese culture. Women are more careful in choosing words to refuse, showing a higher regard for the feelings of the speaker. In contrast, Japanese men tend to provide straightforward reasons for their refusals but still choose their words cautiously. In the case of Indian people within vertical relationship lines, the majority use direct refusals, as evidenced by their speech. Social factors such as social status and social distance also play a role. Both Indian men and women tend to deliver refusals straightforwardly, assertively, and directly (to the point).