Results 41 to 50 of about 83,573 (332)
Computing polynomial program invariants [PDF]
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Müller-Olm, Markus, Seidl, Helmut
openaire +3 more sources
Alexander-Conway and bracket polynomials of a family of pretzel links
Polynomial invariants constitute a dynamic and essential area of study in knot theory. From the pioneer Alexander polynomial, the revolutionary Jones polynomial, to the collectively discovered HOMFLYPT polynomial (just to mention a few), these algebraic
Alan Samuel Hernández Flores +1 more
doaj +1 more source
A note on letters of Yangian invariants
Motivated by reformulating Yangian invariants in planar N $$ \mathcal{N} $$ = 4 SYM directly as d log forms on momentum-twistor space, we propose a purely algebraic problem of determining the arguments of the d log’s, which we call “letters”, for any ...
Song He, Zhenjie Li
doaj +1 more source
Elementary combinatorics of the HOMFLYPT polynomial
We explore Jaeger's state model for the HOMFLYPT polynomial. We reformulate this model in the language of Gauss diagrams and use it to obtain Gauss diagram formulas for a two-parameter family of Vassiliev invariants coming from the HOMFLYPT polynomial ...
Chmutov, Sergei, Polyak, Michael
core +2 more sources
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Alexander-Conway invariants of tangles [PDF]
We consider an algebra of (classical or virtual) tangles over an ordered circuit operad and introduce Conway-type invariants of tangles which respect this algebraic structure.
Polyak, Michael
core
Algebraic invariants of five qubits
The Hilbert series of the algebra of polynomial invariants of pure states of five qubits is obtained, and the simplest invariants are computed.Comment: 4 pages, revtex.
Brennen G K +17 more
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It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
wiley +1 more source
Invariants of vector configurations [PDF]
We investigate the Zariski closure of the projective equivalence class of a matrix. New results are presented regarding the matrices in this variety and their matroids, and we give equations for the variety.
Andrew Berget, Alex Fink
doaj +1 more source
Active gravitational mass and the invariant characterization of Reissner-Nordstrom spacetime
We analyse the concept of active gravitational mass for Reissner-Nordstrom spacetime in terms of scalar polynomial invariants and the Karlhede classification.
A. Karlhede +17 more
core +1 more source

