Results 91 to 100 of about 5,453 (309)
Polynomial multiple recurrence over rings of integers [PDF]
, 2016 We generalize the polynomial Szemerédi theorem to intersective polynomials over the ring of integers of an algebraic number field, by which we mean polynomials having a common root modulo every ideal.
Robertson, Donald; id_orcid +1 more
core +1 more source
Topology‐Orchestrated Multi‐physical Energy Control in Turtle Shell‐Inspired Metamaterials
Advanced Materials, EarlyView.A turtle shell‐inspired lattice metamaterial efficiently manages acoustic, fluid‐thermal, and mechanical energy flows simultaneously. The unique hybrid‐coupling architecture achieves superior sound attenuation via pore‐cavity resonance, facilitates effective airflow transport, and maximizes mechanical energy absorption through multistage cell ...
Xi Wang +3 more
wiley +1 more source
SPLITTING OF RATIONAL PRIMES IN THE RING OF ALGEBRAIC INTEGERS [PDF]
, 2017 We know that the primes in Z (hereafter referred as rational primes) are irreducible in Z i.e they don’t have proper factorization. If R is any factorization domain such that Z is properly contained in R then are these rational primes also irreducible in
Rahul Arora
core +1 more source
Advanced Materials Technologies, EarlyView.Coaxial melt electrowriting is established to produce dual‐property microfibers with diameters spanning 1.6–29.2 µm. Stable coaxial laminar flow is preserved under electrohydrodynamic thinning, enabling controlled binary and gradient material switching within individual continuous fibers.
Patrick C. Hall +11 more
wiley +1 more source
A variant of the large sieve inequality with explicit constants
Journal of Mathematical Cryptology, 2020 We give an effective version with explicit constants of the large sieve inequality for imaginary quadratic fields. Explicit results of this kind are useful for estimating the computational complexity of algorithms which generate elements, whose norm is a
Grześkowiak Maciej
doaj +1 more source
BEHAVIOUR OF RATIONAL PRIMES IN THE RING OF ALGEBRAIC INTEGERS [PDF]
, 2017 We know that the primes in Z (hereafter referred as rational primes) are irreducible in Z i.e they don’t have proper factorization. If R is any factorization domain such that Z is properly contained in R then are these rational primes also irreducible in
Rahul Arora
core +1 more source
Advanced Optical Materials, EarlyView.Metasurface shows selective solar–thermal energy conversion with high‐activity solar/laser‐driven chemistry. The breakthrough is co‐designing broadband FP‐cavity + plasmonic LSPR/SLR resonances in an ultra‐thin metamaterial so that it not only harvests the most efficient proportion of solar radiation but also suppresses mid and IR emissivity. Moreover,
Samira Mehrabi +4 more
wiley +1 more source
The Étale Cohomology Ring of the Ring of Integers of a Number Field [PDF]
We compute the étale cohomology ring H^*(Spec O_K,Z/nZ) where O_K is the ring of integers of a number field K. As an application, we give a non-vanishing formula for an invariant defined by Minhyong Kim.
Carlson, Magnus,, Ahlqvist, Eric,
core +2 more sources
Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling
Advanced Robotics Research, EarlyView.A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang +5 more
wiley +1 more source
Complete residue systems in the ring of matrices of rational integers
International Journal of Mathematics and Mathematical Sciences, 1978 This paper deals with the characterizations of the complete residue system mod. G, where G is any n×n matrix, in the ring of n×n matrices.
Jau-Shyong Shiue, Chie-Ping Hwang
doaj +1 more source