Recurrence - Science topic

We find recurrent as well as explicit formulas for the number of tilings of a 2n × 4 rectangle using L-tetrominoes when only rotation of tiles is allowed. We show that the problem is equivalent to calculating the number of certain two-color integer compositions.

We present the new version of the FeynGrav. The package provides tools to operate with Feynman rules for quantum gravity within FeynCalc. The latest version improves package efficiency and implements new physical models. We discover recurrent relations between metric factors that enhance computational efficiency. We discuss gravitational interactio...

Ponzi schemes deceive investors with promises of high returns, relying on funds from new investors to pay earlier ones, creating a misleading appearance of profitability. These schemes are inherently unsustainable, collapsing when new investments wane, leading to significant financial losses. Many researchers have focused on detecting such schemes,...

The Lindley Pareto distribution is a more flexible model for analyzing the lifetime data. In this paper, the moment properties of generalized order statistics from the Lindley Pareto distribution in terms of exact expression and recurrence relations are studied. The results for order statistics, record values, and progressive type-II right censored...

With the rapid development of UAV industry, autonomous UAV obstacle avoidance navigation has become a core problem in the field of UAV control. Based on recurrent neural networks, this paper proposes an LSTM-enhanced Layered-RSAC algorithm to construct a collaborative task execution and autonomous navigation system for UAV swarms. By constructing t...

Background While drug-eluting stents (DESs) have revolutionized percutaneous coronary intervention (PCI), early stent-related complications remain challenging. We present a rare case of recurrent subacute stent thrombosis (ST) following DES implantation. Case presentation A 51-year-old female with acute inferior-posterior myocardial infarction und...

Non-operative management of acute appendicitis has seen an increasing trend in the management of acute appendicitis, especially after the Covid-19 outbreak. With better imaging modalities like computerized tomography and better broad-spectrum antibiotics, non-operative treatment of acute appendicitis is now considered as an alternative to appendect...

Introduction: Basal cell carcinoma (BCC) is the most common type of skin cancer globally, with its prevalence increasing due to chronic ultraviolet (UV) radiation exposure. Although surgical excision remains the cornerstone of treatment, achieving optimal outcomes requires a careful balance between complete tumor removal and the preservation of cos...

Background Pathological images of hepatocellular carcinoma (HCC) contain abundant tumor information that can be used to stratify patients. However, the links between histology images and the treatment response have not been fully unveiled. Methods We trained and evaluated a model by predicting the prognosis of 287 non-treated HCC patients postoper...

Objective This case report describes the surgical management of a recumbent silkworm-like paravertebral schwannoma in the lumbar spine resected via the lateral retroperitoneal approach. Methods A lumbar paravertebral schwannoma resembling a “recumbent silkworm” was excised using the lateral retroperitoneal approach. Intraoperative measures include...

The aim of this pioneering study was to examine the knowledge and attitudes regarding prevention, diagnostic methods, treatment, and recovery aspects related to Helicobacter pylori infection within the general population of Bosnia and Herzegovina (B&H). Study was conducted using the previously designed questionnaire, adapted for the B&H population....

In the present study, using Hebrew data, we discuss the formation and semiosis of gestures associated with a cognitive domain of negativity, and delve more deeply into analysis of one such gesture: the Brushing Hands gesture. We propose that this manual gestural form originates in a recurrent everyday experience—cleaning one’s hands of food scraps...

Objective This study aimed to determine if there was a difference in postoperative outcomes and complications between patients who underwent traditional two-layer closure (ductoplasty and floor of mouth) after Wharton’s duct sialolithatomy during hybrid sialendoscopy compared to those who underwent single layer closure of only the floor of mouth....

Deciding the positivity of a sequence defined by a linear recurrence and initial conditions is, in general, a hard problem. When the coefficients of the recurrences are constants, decidability has only been proven up to order 5. The difficulty arises when the characteristic polynomial of the recurrence has several roots of maximal modulus, called d...

Hemangioblastomas (HBs) are rare, highly vascular tumors that present significant treatment challenges, especially in cases of multiple recurrences. Here we present our experience treating one patient with recurrent and refractory HBs, aiming to provide preliminary data on the use of anlotinib in treating this disease. An 18-year-old woman with rec...

Associative learning depends on contingency, the degree to which a stimulus predicts an outcome. Despite its importance, the neural mechanisms linking contingency to behavior remain elusive. In the present study, we examined the dopamine activity in the ventral striatum—a signal implicated in associative learning—in a Pavlovian contingency degradat...

Personalized recommendation systems not only need to improve the accuracy of recommendations, but also need to focus on the variety and novelty of recommendations to improve user satisfaction. Currently, most of the existing recommendation systems focus on improving the accuracy and diversity of recommendation items, however, they usually do not co...

This research presents a novel deep learning framework for high-accuracy and time-sensitive heart attack detection, leveraging a hybrid Convolutional Neural Network (CNN) and Recurrent Neural Network (RNN) architecture. The framework integrates Electrocardiogram (ECG) signals and clinical data, optimized for minimal latency. Experimental results de...

Introduction: The global phase 3 POETYK PSO-1 (NCT03624127) and POETYK PSO-2 (NCT03611751) trials of deucravacitinib, an oral, selective, allosteric tyrosine kinase 2 inhibitor, included psoriasis patients with a history of malignancy. This descriptive analysis evaluated malignancy events in deucravacitinib-treated patients with malignancy prior to...

In the work, the unity of the model in both directions of the change of the power of two of the conjecture of natural numbers structured in the form of a set parametrized by a set of odd θ sequences θ × 2 n is justified for the first time. It is shown that the graphs of the direct n(tst) → ∞ and reverse n → 0 conjecture of numbers are correctly dis...

Background and Aim Arteriovenous malformations (AVMs) are uncommon in the elbow, particularly within the triceps muscle. Due to their rarity and complex nature, they can be misdiagnosed as other soft-tissue conditions, leading to inadequate treatment and potential complications. Methods This report presents a case of an intramuscular AVM in the tr...

The existence of clearance is difficult to avoid in mechanical systems, so it is important to model the dynamics of multibody systems with clearance and study their dynamic behavior. Based on the multibody system transfer matrix method, this paper proposes a novel method for dynamic modeling of planar rigid multibody systems with revolute clearance...

This paper studies the replicator dynamics and the best-response dynamics of a signaling game with type-specific preferences over signals—a generalization of the beer-quiche game (Cho and Kreps in Q J Econ 102(2):179–221, 1987). When the prior probability of the high type is below the critical value at which player 2 is indifferent between acceptin...

Patients with chronic urticaria (CU) may have different clinical courses of disease including periods of active CU, clinical remission, and relapse. The objective of this study was to describe representative clinical remission and relapse profiles for patients with CU. Adults with a CU diagnosis and confirmation CU diagnosis/CU-related treatment at...

Recent breakthroughs in solving reasoning, math and coding problems with Large Language Models (LLMs) have been enabled by investing substantial computation budgets at inference time. Therefore, inference speed is one of the most critical properties of LLM architectures, and there is a growing need for LLMs that are efficient and fast at inference....

This paper attempts to update one of the most entrenched controversies in the field of social mobility: the idea, as maintained by Featherman, Jones & Hauser (1974) in their well-known FJH hypothesis, that societies exhibit a fundamental similarity in social mobility rates. To do that, we exploit the main historical international database that allo...

Primary intracranial-extracranial communicating leiomyosarcomas, capable of invading both intracranial and extracranial regions and involving complex anatomical structures, are exceedingly rare neoplasms. We present the case of a 37-year-old male initially presented with a subcutaneous mass on the left frontal vertex. Post-surgical intervention, a...

Recurrent Aphthous Stomatitis (RAS) is a common oral condition which is characterized by formation of recurrent, multiple, small, round or oval ulcers over the oral mucosa. The etiopathogenesis of RAS is still unclear. The diagnosis of this condition is very easy but many times, these ulcers are a part of an underlying disease or syndrome. The main...

Background Various conservative and non-conservative methods have been debated for their effectiveness in treating relapsed idiopathic congenital talipes equinovarus (CTEV). The aim of this work was the assessment of repeating Ponseti method in management of relapsed idiopathic CTEV in children less than two years of age. Methods This prospective...

The extrapolation task in the temporal knowledge graph has received increasing attention from scholars due to its wide range of practical application scenarios. At present, recurrent neural networks are currently widely used in temporal knowledge graph completion techniques. These networks are employed to depict the sequential pattern of entities a...

This article is interested in the teaching and learning of the notions recurrent algorithm and recursion in the 4thyear secondary school class, computer science section. Our main aim is to identify the difficulties and obstacles encountered by students when introducing these concepts in computer science classes. This work has enabled us to obtain s...

Temperature monitoring of permanent magnet synchronous motors which is an important driving component of electric vehicles, is closely related to the performance of permanent magnet synchronous motors. A deep neural network-based temperature prediction method for permanent magnet synchronous motors is proposed in this study. The core component temp...

Student performance, disciplinary innovation and teaching methodology occupy the main concerns of educational research. Therefore, there is a greater interest in gamification strategies, where digital tools facilitate the development of competitive activities and strengthening of learning. One example of this idea is the use of video games created...

Objective High-dose methotrexate (HD-MTX) is widely used as central nervous system (CNS) prophylaxis in patients with diffuse large B-cell lymphoma (DLBCL) who are at a high risk of CNS relapse. Ensuring safe prophylactic administration with minimal adverse events is a key concern; however, few studies have detailed the safety profile of HD-MTX pro...

Seizures that occur in close temporal relation to brain lesions and do not recur after resolution of the pathological condition or elimination of the factor that caused it should be considered as acute symptomatic seizures. They differ from unprovoked seizures and epilepsy because the risk of recurrence is significantly lower and there is no long-t...

This paper concerns the discrete version of the Painlevé identification problem, i.e., how to recognize a certain recurrence relation as a discrete Painlevé equation. Often some clues can be seen from the setting of the problem, e.g., when the recurrence is connected with some differential Painlevé equation, or from the geometry of the configuratio...

Natural language processing (NLP) has numerous applications and has been extensively developed in deep learning. In recent years, language models such as Transformer, BERT, and GPT have frequently been the foundation for related research. However, relatively few studies have focused on evaluating the quality of generated sentences. While traditiona...

Purpose: BCG and MMC are the most popular drugs for adjuvant intravesical instillations in Non-Muscle-Invasive Bladder Cancer (NMIBC). In recent years, there has been a risk of shortage of these two agents worldwide. For this reason, our study aims to determine the characteristics of NMIBC in our department and the results following their treatment...

In this paper, we investigate a class of Finsler spaces, termed generalized Rh-recurrent spaces (denoted by GRh-RFn), where the Cartan's third curvature tensor satisfies a specific condition involving non-null covariant vector fields. We provide several characterizations and properties of these spaces, starting with the equivalence of two distinct...

We give the recurrence relation towards the counting of alternation permutations thus providing the exact formula in order to compute the number of alternating iterations within the insertion operation and the union of the sets.

We consider different measure-valued solvability concepts from the literature and show that they could be simplified by using the energy-variational structure of the underlying system of partial differential equations. In the considered examples, we prove that a certain class of improved measure-valued solutions can be equivalently expressed as an...

We settle two questions on sequence A120243 in the OEIS that were raised by Clark Kimberling and partly solve a conjecture of Van de Lune and Arias de Reyna. We extend Kimberling's questions to the framework of deterministic random walks, automatic sequences, and linear recurrences. Our results indicate that there may be a deeper connection between...

The rising complexity of cyberattacks poses significant challenges to traditional intrusion detection system (IDS). Approaches that rely mainly on feature engineering and rule matching often fail to address new and complex attack patterns effectively. To address these challenges, this paper proposes a network IDS based on bidirectional encoder repr...

The aim of this paper is to derive Spivey's type recurrence relations for the Lah-Bell polynomials and the r-Lah-Bell polynomials by utilizing operators X and D satisfying the commutation relation DX-XD=1. Here X is the `multiplication by x' operator and D is the differentiation operator D=d/dx. In addition, we obtain Spivey's type recurrence relat...

Human beings go through several periods in life where it is crucial to learn how to adapt to their own needs—biological and physical. Added to these are social conditions, which may involve participation in society, education, care, and impact. This last aspect is a central topic that supports many other situations; hence, emotional intelligence (E...

In recent years, the rise of power network security incidents caused by malicious attacks has drawn considerable attention to identifying influential nodes in power networks. Power networks are a special class of complex networks characterized by a high relative clustering coefficient, which reflects a more intricate connection between nodes. This...

Estimating compliance is an important skill in many areas, such as agriculture and the biomedical field. Traditional methods are highly specialized for specific use cases and often suffer from high costs and low portability, making them unsuitable for robotic applications. Due to the increased popularity of vision-based tactile sensors, modern solu...

(1) Background: There are several moments in the school context when students share their experiences and concerns with teachers. Empathy is essential to provide quality listening in order to understand and give students a voice. Consequently, teachers’ perceptions of how they listen to their students and the benefits of empathetic listening in the...

Left ventricular pseudoaneurysm (LVP), a rare but life-threatening complication following acute myocardial infarction (AMI), has an incidence of approximately 0.5% and a high mortality rate due to its significant risk of rupture. Early detection and timely surgical intervention are crucial. The diagnosis of LVP can be effectively achieved through v...

Mantle cell lymphoma (MCL) exhibits significant biological and clinical heterogeneity, necessitating a refined prognostic model. According to the drawbacks of existing models which do not truly define the complexity of the disease, we used the clinical and molecular data from nine medical centers of China to validate the predictive utility of progr...

Linear recurrent neural networks (RNNs) and state-space models (SSMs) such as Mamba have become promising alternatives to softmax-attention as sequence mixing layers in Transformer architectures. Current models, however, do not exhibit the full state-tracking expressivity of RNNs because they rely on channel-wise (i.e. diagonal) sequence mixing. In...

We studied 61 patients with schizophrenia spectrum disorders who discontinued medication after achieving symptomatic remission. Over 3 years, relapse rates were significantly higher in those not meeting full recovery (p = 0.006) or remission (p < 0.001) criteria, with rates up to twice as high. Significant differences between relapsed and maintaine...

The age-structured approach plays a crucial role in epidemiological modelling as it accounts for age-specific variations in susceptibility, transmission and disease progressions, providing a more accurate description of disease dynamics. In this paper, we create an age-structured epidemic model that incorporates age-dependent susceptibility and lat...

Ewing sarcoma (EwS) is a rare and aggressive malignancy, which frequently affects children. One of the few recurrent genomic variants in EwS is genomic copy number deletion of CDKN2A; however, the clinical consequences of dysregulation of CDKN2A in EwS are unclear. In this study, we revisit CDKN2A to investigate its role as a potential prognostic b...

Microvascular invasion (MVI) represents a pivotal independent prognostic factor for the recurrence of hepatocellular carcinoma (HCC) after surgery. It contributes to early intervention for potentially recurrent HCC to enhance patient outcomes and increase survival rates. Traditionally, the diagnosis of MVI has relied on postoperative pathological a...

Simulation of spatiotemporal systems governed by partial differential equations is widely applied in fields such as biology, chemistry, aerospace dynamics, and meteorology. Traditional numerical methods incur high computational costs due to the requirement of small time steps for accurate predictions. While machine learning has reduced these costs,...

We study the frog model on \( \mathbb{Z} \) with geometric lifetimes, introducing a random survival parameter. Active and inactive particles are placed at the vertices of \( \mathbb{Z} \). The lifetime of each active particle follows a geometric random variable with parameter \( 1-p \), where \( p \) is randomly sampled from a distribution \( \pi \...

Detecting fake news is a significant topic; it is valuable for warning people and protecting them from the consequences of such news. In this paper, a Deep Recurrent Neural Network (DRNN) is applied for detecting or recognizing fake and true news. Text data is first exploited and pre-processed. The pre-processing includes tokenizing, converting to...

The effect of antidepressant use, particularly that of selective serotonin reuptake inhibitors, on stroke outcomes remains unclear. This hospital-based, retrospective, observational study utilized propensity score-matching (PSM) to assess the association between antidepressant use, stroke-related outcomes, and complications. The study was conducted...

Objective To compare early recurrence patterns, safety, survival and investigate the clinical risk factors of early recurrence (ER) after liver resection or thermal ablation (TA) for patients with colorectal liver metastases (CRLM) with number ≤ 5 and largest diameter ≤ 3 cm. Materials and Methods This retrospective study included patients with CR...

This paper delves into the generalized order statistics of the Power Inverted Topp–Leone (PITL) distribution, along with its special cases, such as order statistics, the rth moment of order statistics, rth L-moment, and trimmed Lmoment (TL-moment). A comprehensive analysis is conducted to derive recurrence relations for both the single and product...

Basal cell carcinoma (BCC) is the most common cutaneous malignancy, and most commonly seen over the sun exposed parts of the body. The adenoid basal cell carcinoma is a rare variant (1.3%) of conventional BCC with less aggressive nature. We herein reported case reports of two cases of adenoid Basal cell carcinoma. First case was 80 years old female...

Electromyography (EMG) is extensively used in key biomedical areas, such as prosthetics, and assistive and interactive technologies. This paper presents a new hybrid neural network named ConSGruNet for precise and efficient hand gesture recognition. The proposed model comprises convolutional neural networks with smart skip connections in conjunctio...

BACKGROUND: Currently, an annual study of venous glucose after night fasting is carried out to detect hypoglycemia for diagnosis the recurrence of insulinoma. However, hypoglycemia cannot always be achieved after night fasting if tumor is small. Previously continuous glucose monitoring (CGM) in diagnosis of recurrence of insulinoma was evaluated in...

In tackling the intricate challenges of temporal and spatial correlation, as well as the dynamic sequential nature inherent in traffic flow data. We present a pioneering solution called the 3D Grouped Convolution Recurrent Neural Network (3D-GCRNN). The 3D convolutions adeptly capture the network’s spatial intricacies across consecutive time steps,...

Electroencephalography (EEG) is an important method of detecting brain activity. Various techniques are used to classify EEG for tasks such as motor imagery, emotion recognition, and medical diagnosis. However, many of these methods solely focus on the temporal information in EEG and ignore the spatial information provided by the positions of the e...

Myxoid pleomorphic liposarcoma is a rare and aggressive subtype of soft tissue sarcomas (STS). It primarily arises from adipose tissue and exhibits a high rate of recurrence and metastatic potential. We report the case of a 35-year-old male gym trainer with a 5-month history of a painless, progressively enlarging mass on the right posterior aspect...

It is known that monotone recurrence relations can induce a class of twist homeomorphisms on the high-dimensional cylinder, which is an extension of the class of monotone twist maps on the annulus or two-dimensional cylinder. By constructing a bounded solution of the monotone recurrence relation, the main conclusion in this paper is acquired: The i...

La catalana Rosalía se ha revelado como el último gran fenómeno de masas a nivel mundial al irrumpir en el panorama musical internacional. La cantante responde a referencias visuales propias del flamenco y la copla en la configuración de su identidad, asumiendo gran parte de los estereotipos andaluces que conforman el imaginario colectivo de la soc...

Despite advancements in the treatment of diffuse large B-cell lymphoma, including CAR T-cell therapy, TP53 mutations remain a significant negative prognostic factor in patients with relapsed/refractory diffuse large B-cell lymphoma. The combination of autologous stem cell transplantation and CAR T-cell therapy may enhance long-term prognosis and re...

In this article, a recurrent neural network (RNN)‐based learning method is propdosed for achieving the overall dynamic model of robot manipulators. Several sections, e.g., data acquisition, learning model, hidden layers, nodes, activation function, and data bandwidth, are designed to make the RNN‐based learning method establish the overall dynamic...

Objective Common treatments for obstructive hydrocephalus caused by malignant midline intracranial tumors during the perioperative period include ventriculoperitoneal shunt (VPS) placement, endoscopic third ventriculostomy (ETV), and direct tumor resection. The purpose of this study is to determine whether it is necessary to treat hydrocephalus bef...

Background Chondrosarcoma accounts for 20% of all bone sarcomas and may present with soft tissue extension. The presence of an extraosseous component, along with positive surgical margins, independently have been associated with increased risk of local recurrence and decreased survival. The purpose of this investigation is to describe the treatment...

Background: Excess adipose tissue has been associated with the increased prevalence and aggressiveness of many human cancers. While its role in differentiated thyroid cancer is well established, in medullary thyroid cancer (MTC), data are conflicting. We aimed to evaluate the impact of excess adipose tissue on MTC prevalence, aggressiveness at diag...

Different from other text generation tasks, in product description generation, it is of vital importance to generate faithful descriptions that stick to the product attribute information. However, little attention has been paid to this problem. To bridge this gap, we propose a model named Fidelity-oriented Product Description Generator (FPDG). FPDG...

Detection of circulating tumor DNA (ctDNA) signals the presence of occult residual disease following complete surgical resection of a tumor and identifies patients at high risk for recurrence. This study aimed to evaluate whether a highly effective therapy, such as PD-1 blockade in mismatch repair deficient (MMRd) tumors, could reduce recurrence in...

The prompt recognition and timely intervention for depression are vital for attaining the most favorable therapeutic results. Notwithstanding its widespread occurrence, depression continues to be poorly understood within both clinical and research frameworks. Recent progress in deep learning methodologies, especially with the application of convolu...

A 59‐year‐old male patient had long suffered from chest tightness and shortness of breath because of coronary artery disease. Ultimately, the diagnosis of “gastric adenocarcinoma with multiple metastases” was confirmed through the analysis of pericardial effusion cytopathology. This article aims to explore the potential link between the patient's r...

Purpose Hormone receptor (HR) status may be unstable during breast cancer (BC) progression, and changes occur in approximately 20–30% of BC patients at the time of recurrence. The biologic tumor switch from HR+ to HR− status is associated with worse clinical outcomes and warrants alternative management. We aimed to characterize clinical and patholo...