Results 31 to 40 of about 712,298 (331)
Differential Geometry of Microlinear Frolicher Spaces I [PDF]
The central object of synthetic differential geometry is microlinear spaces. In our previous paper [Microlinearity in Frolicher spaces -beyond the regnant philosophy of manifolds-, International Journal of Pure and Applied Mathematics, 60 (2010), 15-24 ...
Nishimura, Hirokazu
core
Supersymmetric Oscillator: Novel Symmetries
We discuss various continuous and discrete symmetries of the supersymmetric simple harmonic oscillator (SHO) in one (0 + 1)-dimension of spacetime and show their relevance in the context of mathematics of differential geometry. We show the existence of a
Dirac P. A. M.+7 more
core +1 more source
Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
A Suggested Mathematics Curriculum for Preparation of Teachers of Modern Secondary School Mathematics in Utah [PDF]
New math has drastically changed secondary mathematics and the demands on the secondary ma thematics teacher. The changes and effects of changes w re studied with emphasis on suggested programs in teacher preparation.
Philips, Harold Nolan
core +1 more source
Quantum Field Theory and Differential Geometry
We introduce the historical development and physical idea behind topological Yang-Mills theory and explain how a physical framework describing subatomic physics can be used as a tool to study differential geometry.
Freedman M.+5 more
core +1 more source
Spatial distribution of microstructure in Inconel 718 3D‐printed with bidirectional strategy with no rotation and chessboard strategy is studied. The former results in a highly ordered arrangement of coarse grains separated by line clusters of dislocation‐dense fine grains. This arrangement is disrupted by the chessboard strategy.
Jalal Al‐Lami+4 more
wiley +1 more source
Digital Methods for the Fatigue Assessment of Engineering Steels
The use of engineering steels is often limited by their fatigue strength. In the sake of a faster product development, the fatigue behavior can be predicted by machine learning (ML). In this work, ML is applied on a heterogeneous database, covering a wide range of steel types.
Sascha Fliegener+7 more
wiley +1 more source
SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ
Özet: Bu çalışmada, diferensiyellenebilir bir manifold üzerindeki bir semi-Riemann metriğin ikinci mertebeden tam yüseltilmesi ile elde edilen nin bir semi-Riemann metriği olduğu gösterildi ve bu metriğin Levi-Civita koneksiyonu bileşenler cinsinden
İsmet AYHAN
doaj
Wick rotation for D-modules [PDF]
We extend the classical Wick rotation to D-modules and higher codimensional submanifolds.
arxiv +1 more source
Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China
The years 1910-1911 are auspicious years in Chinese mathematics with the births of Pao-Lu Hsu, Luo-Keng Hua and Shiing-Shen Chern. These three began the development of modern mathematics in China: Hsu in probability and statistics, Hua in number theory ...
Chen, Dayue, Olkin, Ingram
core +1 more source