This work analyzes the mathematical coherence of the electroweak theory. Quantum electrodynamics proves that the Dirac electron quantum function Ψ has four degrees of freedom. This theory has solid experimental sup-port. Furthermore, the rank of the matrix (1±γ⁵) is 2. Therefore, the electroweak theory that uses the product of this matrix and the Dirac elec-tron function: Ψ_weak=(1±γ⁵)Ψ has a mathematically erroneous structure because...

Mathematics 

What is the universe made of? The universe is made of atoms (and vacuum). The basic atom is the Hydrogen atom with one proton in its nucleus and one electron orbiting the electron cloud. This basic Hydrogen atom is called Protium. Protium atoms were created at the Big Bang explosion. Protons, neutrons, and electrons are assumed in this paper to be made of quarks. Three types of quarks are considered: up quark, strange quark, and down quark. Protons are assumed to be made of one up quark and one ...

Mathematics  Modern Physics 

Univariate linear regression mainly studies the linear correlation between two variables. This article mainly selects Shandong Province’s total social fixed asset investment and regional gross product (GDP) as variables to explore the relationship between the two from 1975 to 2017, and performs a regression analysis. The results show that there is a positive correlation between the two, and Shandong Province’s whole-society fixed asset investment has a positive prediction effect on Shandong Prov...

Mathematics 

In this paper, I study to solve functional inequalities and equations of type Cauchy-Jensen with 3k-variables in a general form. I first introduce the con-cept of the general Cauchy-Jensen equation and next, I use the direct method of proving the solutions of the Jensen-Cauchy functional inequalities relative to the general Cauchy-Jensen equations and then I show that their solutions are mappings that are additive mappings calculated and finally apply the de-rivative setup on fuzzy algebra also ...

Mathematics 

In this article, I use the direct method to study two general functional inequalities with multivariables. First, I prove that the g(λ)-function inequalities (1) and (2) are additive in (α₁;α₂)-homogeneous F-spaces. After that, I continue to prove that the g(λ)-function inequality (1) and (2) are quadratic in the (α₁;α₂)-homogeneous F-space. That is the main result in this paper.

Mathematics 

This paper explores various applications of advanced mathematics in fields such as economics, management, psychology, and other disciplines, as well as in everyday life and work through the literature review method. It reveals the close connection between advanced mathematics and other professions, deepening the understanding of the historical and practical background of advanced mathematics. The paper finds that only by choosing appropriate mathematical methods for different problems can proble...

Mathematics 

In this paper, we investigate the existence of normalized solutions to the coupling of the nonlinear Schrödinger-Maxwell equations. In the mass-subcritical case, we by weak lower semmicontinuity of norm prove that the equations satisfying normalization condition exist a normalized ground state solution.

Mathematics 

In this article, I study the establishment of the quadratic-additive η-function inequality with 3k-variables on the homogeneous complex Banach space and prove the quadratic-additive η-function equation related to the additive and quadratic η-functional inequalities in (α₁,α₂)-homogeneous Banach complex space.

Mathematics 

In this paper, I work on expanding the Quadratic Φ(μ₁,μ₂)-function inequalities by relying on the general quadratic functional equation with 2k-variables on the fuzzy Banach space. That’s the main result of this.

Mathematics 

In this paper, we study the existence of normalized solutions to the Klein-Gordon-Maxwell systems. In the mass-subcritical case, we prove that the systems satisfying normalization conditions have a normalized ground state solution.

Mathematics