Results 231 to 240 of about 10,226 (265)
Some of the next articles are maybe not open access.
A mathematical basis for strain-gradient plasticity theory—Part I: Scalar plastic multiplier
Journal of the Mechanics and Physics of Solids, 2009The authors give a gradient theory of plasticity, in which the plastic strain rate is considered as an independent kinematic variable. The stress measures, work-conjugate to plastic strain and its gradient satisfy a yield condition. At internal interfaces is also considered the plastic work.
Fleck, N. A., Willis, J. R.
openaire +2 more sources
Mathematical Modeling of Soliton-like Solutions in the Scalar-tensor Theories of Gravity
AIP Conference Proceedings, 2009In the present, work we find new numerical solutions describing soliton‐like objects coupled to non‐linear electrodynamics in the scalar‐tensor theories of gravity. Approximate solutions have been also obtained and a comparison to the numerical results has been made.
I. Zh. Stefanov +5 more
openaire +1 more source
Relative distance between two scalar fields. Application to mathematical modelling approximation
Mathematical Methods in the Applied Sciences, 2013AbstractInspired in the relative error between two quantities, we define a functional ΔD that operates on two non‐negative scalar fields, which are integrable in a given open connected set D. We prove that ΔD defines a metric, but not an ultrametric nor a translation invariant metric.
González-Santander, Juan L. +1 more
openaire +1 more source
Mathematical analysis of a scalar multidimensional conservation law with discontinuous flux
Journal of Evolution Equations, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Emergent Mathematics from a Scalar Coherence Field
This paper introduces and proves a unifying hypothesis: that core structures of mathematics — including constants like π and e, arithmetic, logic, irrationality, and prime numbers — emerge as invariant patterns from a physically grounded scalar coherence field.openaire +1 more source
Simple rule, hidden meaning: the scalar product in engineering mathematics
2015Engineering is a highly mathematical field of study with different university courses requiring proficiency at different types of mathematics. Engineering dynamics requires the skilful use of vectors in various ways and proficiency at vector arithmetic, algebra and geometry is of vital importance to incoming students.
Craig, Tracy S, Cloete, Trevor J
openaire +1 more source
On Φ: A Scalar Efficiency Metric and Its Mathematical Propertie
This work introduces Φ, a scalar efficiency metric defined over successive states of a process or trajectory. Φ captures signed improvement relative to magnitude and enables rigorous comparison between progress and stagnation without prescribing any algorithmic or procedural interpretation. We formalize basic properties of Φ, derive related aggregates,openaire +2 more sources
Mathematics of 4D - Spacetime: Scalar & Vector Product
SSRN Electronic Journal, 2023openaire +1 more source
Mathematical Modeling for scalar sscalar interface problems between dielectric and metamaterial
2013Some electromagnetic materials have, in a given frequency range, an e ective dielectric permittivity and/or a magnetic permeability which are real-valued negative coe cients when dissipa- tion is neglected. They are usually called metamaterials. We study a scalar transmission problem between a classical dielectric material and a metamaterial, set in an
Belgacem, Maher +2 more
openaire +1 more source