期刊文献+
共找到5篇文章
< 1 >
每页显示 20 50 100
The Principle of Differentiation into Physical and Mathematical Theories
1
作者 Anatoly Parfyonov 《Journal of High Energy Physics, Gravitation and Cosmology》 2023年第4期1208-1216,共9页
The article formulates the main principle of physics, which underlies this science. This principle has been called by the author of this article the Principle of differentiation into physical and mathematical theories... The article formulates the main principle of physics, which underlies this science. This principle has been called by the author of this article the Principle of differentiation into physical and mathematical theories. The article gives examples of the application of this principle in quantum mechanics and cosmology. A more detailed proof of the principle of equivalence of the electromagnetic field and the field of strong interaction to a free material particle is given. This principle, formulated in the article “Electrodynamics in Curvilinear Coordinates and the Equation of a Geodesic Line”, revealed the nature of the mass of elementary particles and became the basis for the formulation of the Principle of differentiation into physical and mathematical theories. 展开更多
关键词 Origin of the Universe Expansion of the Universe Corpuscular-Wave Dualism the principle of differentiation into physical and mathematical theories
下载PDF
The Mathematical and Physical Theory of Rational Human Intelligence: Complete Empirical-Digital Properties;Full Electrochemical-Mechanical Model (Part I: Mathematical Foundations)
2
作者 Leo Depuydt 《Advances in Pure Mathematics》 2013年第5期491-561,共71页
The design of this paper is to present the first installment of a complete and final theory of rational human intelligence. The theory is mathematical in the strictest possible sense. The mathematics involved is stric... The design of this paper is to present the first installment of a complete and final theory of rational human intelligence. The theory is mathematical in the strictest possible sense. The mathematics involved is strictly digital—not quantitative in the manner that what is usually thought of as mathematics is quantitative. It is anticipated at this time that the exclusively digital nature of rational human intelligence exhibits four flavors of digitality, apparently no more, and that each flavor will require a lengthy study in its own right. (For more information,please refer to the PDF.) 展开更多
关键词 Artificial INTELLIGENCE Boolean ALGEBRA Boole’s ALGEBRA Black Box theories Brain Science Cognition Cognitive Science Digital MAtheMATICS Electricity and Magnetism J.-L. Lagrange and Partial Differential Equations J. C. Maxwell’s theory of Electromagnetism Neuroscience Non-Quantitative and Quantitative MAtheMATICS Physics RATIONAL Human INTELLIGENCE COMPLETE theory of RATIONAL Thought and Language
下载PDF
3D Fractals, Axiom of Algebra (Δn)n = +1
3
作者 Emmanuel Cadier Anaxhaoza 《Advances in Pure Mathematics》 2023年第7期473-481,共9页
After having laid down the Axiom of Algebra, bringing the creation of the square root of -1 by Euler to the entire circle and thus authorizing a simple notation of the nth roots of unity, the author uses it to organiz... After having laid down the Axiom of Algebra, bringing the creation of the square root of -1 by Euler to the entire circle and thus authorizing a simple notation of the nth roots of unity, the author uses it to organize homogeneous divisions of the limited development of the exponential function, that is opening the way to the use of a whole bunch of new primary functions in Differential Calculus. He then shows how new supercomplex products in dimension 3 make it possible to calculate fractals whose connexity depends on the product considered. We recall the geometry of convex polygons and regular polygons. 展开更多
关键词 PSYCHEDELIC Axiom of Algebra (AA) Generalization of the Sign Quantum Physics Self-Derivative Exponential Cosinus SINUS Stable Groups for Derivation Operation Differential Calculation theory Supercomplex Products Regular Polygons 3D Fractals mathematical Imagery Geometry of Regular Polygons
下载PDF
二维曲面理论引入数学物理方法的探讨 被引量:1
4
作者 陈起辉 黄飞杰 +1 位作者 傅永平 祝凤荣 《物理与工程》 2021年第2期20-30,共11页
本文探讨如何将二维曲面理论引入到数学物理方法的教学当中,目的在于沟通从高等数学到一般微分几何知识之间的“鸿沟”。使得本科生在学习更抽象的微分几何前,具备一些直观的图像。文中主要利用嵌入到三维空间的曲面参数方程,计算给出... 本文探讨如何将二维曲面理论引入到数学物理方法的教学当中,目的在于沟通从高等数学到一般微分几何知识之间的“鸿沟”。使得本科生在学习更抽象的微分几何前,具备一些直观的图像。文中主要利用嵌入到三维空间的曲面参数方程,计算给出二维曲面理论的第一、二基本形式,并且基于它们,建立起曲面上线元、面元、曲线夹角、曲率、测地线、平行移动的概念。运用这些概念,我们直接推导出在二维曲面上梯度、散度、旋度的数学表达式及对应的高斯、斯托克斯定理。这些式子经过简单推广便可以得到更高维曲线坐标系中梯度、散度、旋度的表达。作为曲面理论的一个直接应用,我们也讨论了如何将所得到曲面理论运用到肥皂膜上的流体,得到二维固定曲面上流体所满足的动力学方程,从而可以解释皂膜上的等厚干涉条纹的变化。最后我们介绍二维曲面理论到高维黎曼内蕴几何的推广以及在广义相对论上的应用。 展开更多
关键词 数学物理方法 微分几何 二维曲面理论 基本形式 高斯曲率 平行移动 协变导数 肥皂膜 广义相对论 黎曼几何
下载PDF
常微分方程理论在“数学物理方程”课程中的应用 被引量:1
5
作者 危苏婷 《教育教学论坛》 2021年第21期141-144,共4页
偏微分方程求解既是“数学物理方程”课程教学的主体内容,又是课堂教学的重难点。求解偏微分方程的方法有很多,如特征线法、波的反射原理、分离变量法、格林函数法、傅里叶变换、拉普拉斯变换等。学会求解一些简单的偏微分方程是数学专... 偏微分方程求解既是“数学物理方程”课程教学的主体内容,又是课堂教学的重难点。求解偏微分方程的方法有很多,如特征线法、波的反射原理、分离变量法、格林函数法、傅里叶变换、拉普拉斯变换等。学会求解一些简单的偏微分方程是数学专业学生学好“数学物理方程”课程乃至为以后继续深造打下基础的关键。因此,揭示偏微分方程求解方法中所蕴含的数学思想,帮助学生系统而深入地掌握求解的方法显得尤为重要。以方程特殊形式解的求解、分离变量法、傅里叶变换法为例,结合具体的定解问题求解来阐述将偏微分方程问题化归为常微分方程问题这一思想在偏微分方程求解中的应用。 展开更多
关键词 研究型教学 数学物理方程课程 常微分方程理论
下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部