Results 121 to 130 of about 71,271 (229)
In this paper, we show an addition formula for a class of Mellin transformable functions using Ramanujan’s master theorem. Also, we get the associated addition formula of Gaussian functions in terms of the Bessel functions and Green function of the ...
Alireza Ansari
doaj
New 3d N $$ \mathcal{N} $$ = 2 dualities from quadratic monopoles
Aspects of three dimensional N $$ \mathcal{N} $$ = 2 gauge theories with monopole super-potentials and their dualities are investigated. The moduli spaces of a number of such theories are studied using Hilbert series.
Antonio Amariti +2 more
doaj +1 more source
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
General properties of multiscalar RG Flows in $d=4-\varepsilon$
Fixed points of scalar field theories with quartic interactions in $d=4-\varepsilon$ dimensions are considered in full generality. For such theories it is known that there exists a scalar function $A$ of the couplings through which the leading-order ...
Slava Rychkov, Andreas Stergiou
doaj +1 more source
ABSTRACT The mechanical efficiency of civil engineering structures is a key factor in the sustainable transformation of the building sector. This study presents topology optimization in civil engineering design. The static load profile of civil engineering structures is typically dominated by their self‐weight, which introduces, as a special ...
Daniela Masarczyk +2 more
wiley +1 more source
MAL-Net: Model-Adaptive Learned Network for Slow-Time Ambiguity Function Shaping
Designing waveforms with a Constant Modulus Constraint (CMC) to achieve desirable Slow-Time Ambiguity Function (STAF) characteristics is significantly important in radar technology. The problem is NP-hard, due to its non-convex quartic objective function
Jun Wang +5 more
doaj +1 more source
STABILITY OF QUARTIC SET-VALUED FUNCTIONAL EQUATIONS
Abstract. We will show the general solution of the functionalequationf(x + ay) + f(x ay) + 2(a 2 1)f(x)= a 2 f(x + y) + a 2 f(x y) + 2a 2 (a 2 1)f(y)and investigate the Hyers-Ulam stability of the quartic set-valuedfunctional equation. 1. IntroductionThe theory of set-valued functions in Banach spaces is connected tothe control theory and the ...
openaire +2 more sources
Triggered Ferroelectricity in HfO2 From Hybrid Phonons and Higher‐Order Dynamical Charges
We combine first‐principles calculations, LGD theory and group theory to demonstrate the mechanism of hybrid‐triggered ferroelectricity in HfO2${\rm HfO}_2$, enabled by trilinear and quadlinear couplings between stable polar and nonpolar modes. HfO2${\rm HfO}_2$ hosts unconventional interplay between structure modes where substantial contribution to ...
Seongjoo Jung, Turan Birol
wiley +1 more source
Sub‐100 Nanometer Focusing of Hard X‐rays Using SU‐8 Compound Kinoform Focusing Lenses
A novel aberration‐free X‐ray compound refractive lens design based on Cartesian oval curve is presented. Achieving a vertical focal spot size of 70.8 nm using knife‐edge scanning with a 200 μm incident aperture. Wavefront reconstruction via knife‐edge imaging further resolves a refined focal spot of 56 nm.
Yuanze Xu +12 more
wiley +1 more source
Reduced sediment accumulation rate enhances early marine diagenesis of periplatform sediments
The influence of reduced sediment accumulation rate on early marine burial diagenesis was investigated in sediments collected by ODP Leg 133. Results show that low sediment accumulation rates can produce substantial and asynchronous shifts in stable carbon isotope ratios across a slope transect without the development of sedimentological indicators of ...
Amanda M. Oehlert +3 more
wiley +1 more source

