Results 111 to 120 of about 9,947 (289)
Two Variable Pfaffian Identities and Symmetric Functions [PDF]
The author proves identities for the Pfaffians \[ \text{Pf} \left( {y_i - y_j \over x_i + x_j} \right) \quad \text{and} \quad \text{Pf} \left( {y_i - y_j \over 1 + x_i x_j} \right) \] and then explores various special cases which give identities involving Pfaffians and Schur functions. One corollary is the explicit expansion of the plethysm \(p_2 \circ
openaire +1 more source
Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology
We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham +7 more
wiley +1 more source
Symmetric Reverse n-Derivations on Ideals of Semiprime Rings
This paper focuses on examining a new type of n-additive map called the symmetric reverse n-derivation. As implied by its name, it combines the ideas of n-additive maps and reverse derivations, with a 1-reverse derivation being the ordinary reverse ...
Shakir Ali +4 more
doaj +1 more source
New Symmetric Identities Involving q-Zeta Type Functions
The main object of this paper is to obtain several symmetric properties of the q-zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan +5 more
core +1 more source
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
Trace additions of Sn and Sr combined with a two‐step aging treatment are shown to enhance the microstructure and performance of Al–Zr–Sc conductor alloys. Strength and electrical conductivity increase concurrently through accelerated precipitation of fine Al3(Sc, Zr) precipitates and improved dislocation resistance, offering a cost‐effective pathway ...
Quan Shao +3 more
wiley +1 more source
Symmetric functions and symmetric species
The idea of proving identities for symmetric functions by bijective arguments is quite old; it goes back to Lucas (Theorie des nombres, 1891) and probably earlier.
A. VENEZIA +7 more
core +1 more source
A hierarchical porous copper current collector is fabricated via three‐dimensional printing combined with pressureless sintering to stabilize lithium metal anodes. The interconnected architecture lowers local current density, guides uniform Li deposition within pores, and suppresses dendrite growth.
Alok Kumar Mishra, Mukul Shukla
wiley +1 more source
A new class of generalized polynomials associated with Hermite and Bernoulli polynomials
In this paper, we introduce a new class of generalized polynomials associated with the modified Milne-Thomson's polynomials Φ_{n}^{(α)}(x,ν) of degree n and order α introduced by Derre and Simsek.The concepts of Bernoulli numbers B_n, Bernoulli ...
M. A. Pathan, Waseem A. Khan
doaj
Since the constructions of p-adic q-integrals, these integrals as well as particular cases have been used not only as integral representations of many special functions, polynomials, and numbers, but they also allow for deep examinations of many families
Maryam Salem Alatawi +2 more
doaj +1 more source

