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Mathematical Category Theory and Mathematical Philosophy
Explicit concepts and sufficiently precise definitions are the basis for further advance of a science beyond a given level. To move toward a situation where the whole population has access to the authentic results of science (italics mine) requires making explicit some general philosophical principles which can help to guide the learning, development ...
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Tensor categories and the mathematics of rational and logarithmic conformal field theory [PDF]
In response to the referees' helpful comments, further discussion of several issues is added, including in particular rigidity. Much of the paper is devoted to explaining what has been mathematically proved and where people can find these proofs. Several references added. 27 pages. Invited review article for publication in a special issue of J. Phys. A
Huang, Yi-Zhi, Lepowsky, James
openaire +2 more sources
Objective High body mass index (BMI≥27 kg/m2) and aberrant gait biomechanics are primary risk factors for knee osteoarthritis (KOA), yet the specific loading patterns linked to clinical disease features remain unclear. Unsupervised machine learning (ML) was used to identify vertical ground reaction force (vGRF) waveform modes of variation and ...
Ashley N. Buck +10 more
wiley +1 more source
Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading
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
Values Implemented By Secondary Teachers In Mathematics Problem Solving [PDF]
This qualitative research aims at exploring the values implemented by the teachers in matehamtics problem solving classroom. The subjects are three mathematics teachers in secondary school in Palembang. Data were collected through interview pre teaching,
Nyimas, Aisyah
core
Category theory is a branch of mathematics that is used to abstract and generalize other mathematical concepts. Its core idea is to take the emphasis off the details of the elements of these concepts and put it on the relationships between them instead ...
Orav, Markus (author)
core
Rigidity and exotic models for the K-local stable homotopy category [PDF]
Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the K-local stable homotopy at the prime 2.
Roitzheim, C., Roitzheim, Constanze
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In MOCVD MoS2 memristors, a current compliance‐regulated Ag filament mechanism is revealed. The filament ruptures spontaneously during volatile switching, while subsequent growth proceeds vertically through the MoS2 layers and then laterally along the van der Waals gaps during nonvolatile switching.
Yuan Fa +19 more
wiley +1 more source
Conversion‐induced sulfur expansion generates strong mechanical constraints and localized stresses within solid‐state Li‐S cathodes. Heterogeneous solid‐electrolyte confinement creates tensile strain‐energy hotspots that govern particle cracking. Larger sulfur particles accelerate fracture, while higher porosity relaxes constraint and delays damage ...
Arpan K. Sharma +3 more
wiley +1 more source

