Category: 7. Maths

Parameter configuration

In this experiment, all models were trained on the Ubuntu 18.04 operating system. The GPU utilized was the NVIDIA GeForce RTX 4090, which is equipped with 24 GB of video memory. The CUDA version employed was 11.1, while…

Formulated description of the fractal finger

Burdick and Tisdale⁵⁵ laid the theoretical groundwork for fractal finger and fractal hand in two-dimensional planes. Building on this foundation, we extend these theories to three-dimensional grasping…

In this section, we introduce collected fault datasets, models using for comparison and model comparison criteria. We also discuss the performance of models using two fault datasets from open source big data system components, and each fault…

Participants, EEG data acquisition and processing

We collected resting-state data from 10 patients with Parkinson’s disease and monitored both ON and OFF levodopa medication⁹. Each session was 2-min long, employing deep stimulation electrodes…

Semantic segmentation targets

We selected biotite, andalusite, and ooids as targets for semantic segmentation. These components are well documented and easily identifiable under PPL, exhibiting distinguishable colors and forms with varying levels…

Since the age-based vaccine protection classifications are divided into three: adolescents (0-19 years), young adults (20-70 years), and the elderly (71 years and older)⁴⁸. The framework has six compartments: \(\text {X}_{\ell }(\xi ),~{\text…

Experimental design

This paper evaluates the effectiveness of the optimized BP prediction model in the context of school-enterprise collaboration and talent cultivation within IoT framework. The experimental design is outlined as follows:

Training datasets

For our training dataset, we generated five million mathematical expressions based on 100, 000 predefined expression skeletons with up to two independent variables, following the same setup as used in T-JSL³. These skeletons…

In this section, the MSM is used to obtain the AS of the previously provided system of Eqs. (5)-(7). Therefore, we focus our study on the dynamic behavior of this system in a narrow region bounded by the static equilibrium point³⁴. Then, the…

This paper proposes a prediction method to characterize the pattern of community feature changes, learn their impact on evolutionary events, and forecast critical events in the next timeframe. In this section, we will analyze the effectiveness of…