Results 11 to 20 of about 326,712 (227)
On finite functions with non-trivial arity gap
CoRR, 2008 Given an $n$-ary $k-$valued function $f$, $gap(f)$ denotes the minimal number of essential variables in $f$ which become fictive when identifying any two distinct essential variables in $f$. We particularly solve a problem concerning the explicit determination of $n$-ary $k-$valued functions $f$ with $2\leq gap(f)\leq n\leq k$.
Shtrakov, Slavcho, Koppitz, Joerg
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On the arity gap of polynomial functions
, 2011 The authors' previous results on the arity gap of functions of several variables are refined by considering polynomial functions over arbitrary fields. We explicitly describe the polynomial functions with arity gap at least 3, as well as the polynomial functions with arity gap equal to 2 for fields of characteristic 0 or 2. These descriptions are given
Couceiro, Miguel +2 more
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Positional Numeral Systems over Polyadic Rings
MathematicsWe construct positional numeral systems that work natively over nonderived polyadic m,n-rings whose addition takes m arguments and multiplication takes n.
Steven Duplij
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Essential Arity Gap of Boolean Functions
Serdica Journal of Computing, 2008 In this paper we investigate the Boolean functions with maximum essential arity gap. Additionally we propose a simpler proof of an important theorem proved by M. Couceiro and E. Lehtonen in [3]. They use Zhegalkin’s polynomials as normal forms for Boolean functions and describe the functions with essential arity gap equals 2.
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Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
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Advanced Engineering Materials, EarlyView.A distinct semi‐confined inner‐tube chemical vapor deposition geometry enables reproducible, large‐area growth of phase‐pure 2D β′‐In2Se3 from InI + Se precursors. Engineering local vapor transport and optimizing precursor delivery and temperature–time conditions yield uniform continuous films.
Dasun P. W. Guruge +8 more
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Advanced Engineering Materials, EarlyView.This review highlights advances in lightweight, lead‐free polymer nanocomposites for diagnostic X‐ray shielding. By linking filler chemistry, dispersion, architecture, and photon interaction mechanisms, it establishes structure–performance relationships guiding material design.
Aklilu G. Messele +2 more
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Advanced Functional Materials, EarlyView.A bikitaite‐infused cellulose separator is introduced for Li metal batteries, leveraging bikitaite zeolite's ion‐conductive properties to regulate Li+‐ion flux and suppress dendrite growth. The membrane design ensures uniform Li plating, enhanced electrolyte wettability, and robust thermal/mechanical stability, delivering stable performance and low ...
Isheunesu Phiri +2 more
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Polymer Interface Enables Reversible Quasi‐Solid Sulfur Conversion in Sodium‐Sulfur Batteries
Advanced Functional Materials, EarlyView.The polymer interface enables a stable quasi‐solid sulfur conversion pathway in room‐temperature Na─S batteries. The coating regulates Na+ transport, stabilizes the cathode–electrolyte interphase, and accommodates mechanical stress, suppressing electrolyte decomposition and sulfur migration, thereby improving reaction uniformity, reducing polarization,
Reza Andaveh +12 more
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Formation of Quasi‐Decoupling Interface on Li‐Metal Anodes in High Donor Electrolyte
Advanced Functional Materials, EarlyView.Li‐metal anode (LMA) is stabilized by introducing Li2Te2 as an electrolyte additive for Li‐metal batteries. Upon contact with Li, Li2Te2 spontaneously converts to Li2Te, which electronically isolates Li from dimethyl sulfoxide due to its large bandgap and minimal Bader charge transfer.
Hyerim Kim +9 more
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