主题词：advanced mathematical theories; Topological and Geometric Data Analysis; Mathematical Dynamics and Fractals; Mathematical Analysis and Transform Methods; Mathematical and Theoretical Analysis; Advanced Harmonic Analysis Research; Meromorphic and Entire Functions; Advanced Topology and Set Theory; Algebraic Geometry and Number Theory; Chaos-based Image/Signal Encryption; Biofield Effects and Biophysics; Advanced Topics in Algebra; Advanced Algebra and Geometry; Quantum Mechanics and Applications; Algebraic and Geometric Analysis; Mental Health Research Topics; Advanced Mathematical Identities; Holomorphic and Operator Theory; Algebraic structures and combinatorial models; Fixed Point Theorems Analysis; Advanced Mathematical Theories and Applications; Analytic Number Theory Research; Advanced Operator Algebra Research; Advanced Mathematical Physics Problems; Approximation Theory and Sequence Spaces