Results 11 to 20 of about 713,951 (290)
Design of developable surfaces using the given data points
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2021 Many products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve.
Kotaro YOSHIDA +4 more
doaj +1 more source
Differential Geometry from Differential Equations [PDF]
, 2000 We first show how, from the general 3rd order ODE of the form z'''=F(z,z',z'',s), one can construct a natural Lorentzian conformal metric on the four-dimensional space (z,z',z'',s).
Frittelli, Simonetta +2 more
core +2 more sources
Axiomatic differential geometry I-1 - towards model cathegories of differential geometry [PDF]
, 2012 In this paper we give an axiomatization of di erential geometry comparable to model categories for homotopy theory.
Nishimura, Hirokazu
core +1 more source
Axiomatic Differential Geometry II-2: Differential Forms [PDF]
, 2013 We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
Nishimura, Hirokazu
core +2 more sources
Suitable model for the calculation of the correlation between the real and the average specific heat capacity and possibilities of its application [PDF]
Hemijska Industrija, 2013 Starting from the definition of the average specific heat capacity for chosen temperature range, the analytic dependence between the real and the mean specific heat capacities is obtained using differential and integral calculation.
Pejović Branko B. +3 more
doaj +1 more source
Entropy, 2023 In this paper, we construct the metric tensor and volume for the manifold of purifications associated with an arbitrary reduced density operator ρS. We also define a quantum coarse-graining (CG) to study the volume where macrostates are the manifolds of ...
Shannon Ray +3 more
doaj +1 more source
Physics-to-Geometry Transformation to Construct Identities between Reynolds Stresses
Mathematics, 2023 Modeling has become firmly established as a methodology to close the Reynolds-averaged Navier–Stokes (RANS) equations, owing to theoretical and empirical efforts towards a complete formulation of the Reynolds stress tensor and, recently, breakthroughs in
Sungmin Ryu
doaj +1 more source
Multilocal invariants for the classical groups
International Journal of Mathematics and Mathematical Sciences, 2003 Multilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way.
Paul F. Dhooghe
doaj +1 more source
Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]
Sahand Communications in Mathematical AnalysisIn the present paper, we introduce the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type for the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi +2 more
doaj +1 more source
Evaluation of Linearization Methods for Control of the Pendubot
Applied Sciences, 2021 The aim of this paper is to test the usefulness of a new approach based on partial feedback linearization to control the Pendubot. The control problem stated in the article is to stabilize the Pendubot in the upright position.
Paweł Parulski +2 more
doaj +1 more source