Results 11 to 20 of about 1,999,169 (235)

Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]

open access: yes, 2000
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
core   +7 more sources

Geometric continuous patch complexes [PDF]

open access: yes, 1987
A theory of geometric continuity of arbitrary order is presented. Conditions of geometric continuity at a vertex where a number of patches meet are investigated.
Hahn, JM
core   +6 more sources

Using Parametric Mathematical Modeling to Develop a Geometric and Topological Intuition for Molecular Knots

open access: yesApplied Mathematics, 2020
Knot theory is a branch of topology in pure mathematics, however, it has been increasingly used in different sciences such as chemistry. Mathematically, a knot is a subset of three-dimensional space which is homeomorphic to a circle and it is only defined in a closed loop. In chemistry, knots have been applied to synthetic molecular design. Mathematics
Tahmineh Azizi, Jacob Pichelmeyer
openaire   +2 more sources

Mathematics teacher candidates’ approaches to using topology in geometry [PDF]

open access: yes, 2021
When we look at the theoretical relationships between the three types of geometry, we find that the most primitive type is topology and that both Euclidean and projective geometry are derived from this earlier type. Therefore, Piaget described the first
Gedik, Solmaz Damla   +6 more
core   +1 more source

Smooth constructions of homotopy-coherent actions

open access: yes, 2022
We prove that, for nice classes of infinite-dimensional smooth groups G , natural constructions in smooth topology and symplectic topology yield homotopically coherent group actions of G . This yields a bridge between infinite-dimensional smooth groups
OH, YONG GEUN   +2 more
core   +1 more source

Cellular structures in Topology [PDF]

open access: yes, 1990
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini   +4 more
core   +1 more source

Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]

open access: yes, 2009
This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
core   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

open access: yesFEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj   +3 more
wiley   +1 more source

Modular Critical Element Recycling Platform Using a Nanoporous Additively Manufactured Gyroid

open access: yesAdvanced Engineering Materials, EarlyView.
A modular recycling platform integrates 3D‐printed nanoporous gyroid structures to enable efficient critical element recovery. This system utilizes a hierarchical architecture, combining macroscopic channels with polymerization‐induced nanoscale porosity. By systematically tuning structural wall thickness and resin formulation, the platform achieves an
Xiangyu Gao   +6 more
wiley   +1 more source

Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading

open access: yesAdvanced Engineering Materials, EarlyView.
This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev   +2 more
wiley   +1 more source

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