In this study, we conducted a theoretical investigation comparing the reactivity of Enrupatinib (EI-107) with established CSF1R inhibitors, namely PLX 3397, PLX 5562, GW2580, Masitinib, JNJ-527, and 7dri, using density functional theory (DFT). The calculations employed the B3LYP exchange–correlation functional with the 6-311G(d,p) basis set to obtain frontier molecular orbitals and perform geometry optimizations of Enrupatinib, representative CSF1R inhibitors, and four active sites within CSF1R (LYS616, CYS666, HIS776, and THR663). Subsequently, cross-checks of reactivity were carried out based on frontier molecular orbital theory (Janak's Theorem) for each inhibitor, each active site, and their cross-interactions. Our theoretical results indicate that Enrupatinib (EI-107) exhibits superior reactivity compared to existing CSF1R inhibitors, while remaining competitive with 7dri. 

In this work, we improved the capability of reconstructing the radial distribution function (RDF) of amorphous solids based on wavelet transformation by incorporating machine learning. In this approach, we trained the parameters within the wavelet reconstruction theory using machine learning techniques. As a result, the RDF amplitude and overall trends became increasingly precise. The first and second peaks of the RDF profile, which correspond to the nearest-neighbor interatomic distances, were also determined with greater accuracy. This enhancement enables the derivation and reconstruction of other physical variables, such as the coordination number. 

In this study, we consider the case of a non-relativistic quantum particle confined to the surface of a cylinder of radius Ro and length L, subjected to a Stark-like perturbation along the z-axis. This system serves as a representative model for the extra-dimensional theory proposed by Kaluza–Klein, which aims to unify electromagnetic theory with gravity. The analysis focuses on whether the Stark-like perturbation along the z-axis can induce energy splitting, and how the curvature geometry of the cylinder influences this splitting. The objective is to provide insight into whether it may be possible to detect extra dimensions through such perturbations, and whether a split mass spectrum could emerge within the framework of KK theory.

We investigated the validity of a new theoretical formulation for reconstructing the radial distribution function of amorphous solids based on wavelet transformation (D. Senjaya, A. Supardi, and A. Zaidan, 2020), using classical density functional theory with Born–Meyer type interatomic potentials (appropriate for short-range interactions). In this study, the comparison between our formulation and classical density functional theory with Born–Meyer potentials shows consistency across both the repulsive and attractive coefficients. This demonstrates that our model is theoretically valid.

We investigated the antioxidant reactivity present in roselle flowers by comparing the Frontier Molecular Orbitals (FMO) of the relevant antioxidant molecules with one type of reactive oxygen species (ROS), namely singlet oxygen. The FMO of each molecule was obtained through quantum calculations: density functional theory (DFT) for molecules with medium structural complexity, and semi-empirical Hartree–Fock (SEHF) for structurally more complex molecules. The basis set employed for DFT was 6-311G(d,p), while for SEHF we used CNDO. From our investigation, we identified two antioxidant molecules as the most reactive: Protocathecuic Acid (PCA) and L-Ascorbic Acid (AA). 

We (Senjaya–Zaidan–Adri) have developed a new theoretical formulation to reconstruct the radial distribution function profile of amorphous solids based on wavelet transformation. The wavelet transform serves as a mathematical microscope, allowing us to analyze the scattering function profile of X-ray radiation by the corresponding amorphous material, using wavelet functions that can be designed according to our needs. In this work, we design such wavelet functions based on the general theory of wavelets and employ a mean-field quantum mechanical model similar to the Kohn–Sham framework. The wavelet function derived from this mean-field model consists of two components: the known part, obtained from the Schrödinger equation with a simple potential well, and the unknown part, derived from a semi-empirical model to correct interatomic interactions.  

In this study, we examine a planar robot manipulator with two degrees of freedom, where each joint is subjected to identical Stokes-type friction. The equations of motion of the robot are derived using Lagrangian mechanics, and stability analysis is performed through the Jacobian method and eigenvalue evaluation in the case of slow motion. The results yield the appropriate torque criteria required for stable motion. Furthermore, under the conditions of slow motion and identical friction, stability is shown to be independent of the friction coefficient. 

According to Wright et al. (2021), an advanced civilization of Kardashev Type II could rapidly evolve into Type III. This acceleration is facilitated by stellar rotation within galaxies, which brings potential host stars closer together and eases their migration—challenging the Fermi paradox argument about distance and information reach. However, one critical factor remains unaccounted for: could hazardous astrophysical events such as asteroid impacts, supernova explosions, and giant molecular clouds (GMCs) annihilate such civilizations? If so, this would provide a more physical explanation than the Fermi paradox itself. Here, we investigate. 

Students often tire during long physics lectures filled with equations. To re‑engage them, we use sci‑fi films like Star Wars, Interstellar, and Gravity. Each week, students analyze an unphysical scene, explain why it violates real laws, and imagine corrections. This approach sustains attention and deepens learning. 

To investigate the development status of studies on digital charismatic leader (DCL), the current study applies bibliometric historiographic mapping. Citation data screened from the Web of Science (WoS) revealed 73 documents from 1995 to 2023, which were analyzed using HistCite. Descriptive statistical analysis results revealed three stages of development along with four significantly influential documents in each stage based on the Global Citation Score (GCS). Bibliometric historiographic mapping identified thirty significant documents on DCL studies and categorized them into five clusters including cluster 1 digital transformation, cluster 2 inspiring leadership, cluster 3 influence of DCL on online workers, cluster 4 a computerized approach for leader, and cluster 5 impacts of DCL practice in organizations. Finally, implications, limitations, and future research possibilities of this study are presented.