Functional encryption (FE) has emerged as an outstanding concept. By now, we know that beyond the immediate application to computation over encrypted data, variants with succinct ciphertexts are so powerful that they yield the full might of indistinguishability obfuscation (IO). Understanding how, and under which assumptions, such succinct schemes can be constructed has become a grand challenge...

Numerical homotopy continuation of solutions to polynomial equations is the foundation for numerical algebraic geometry, whose development has been driven by applications of mathematics. We use numerical homotopy continuation to investigate the problem in pure mathematics of determining Galois groups in the Schubert calculus. For example, we show by direct computation that the Galois group of t...

production of fe-c alloy powders by mechanical alloying was studied. fe and graphite elemental powdermixtures containing 0.8 and 1.5wt.% graphite were mechanically alloyed using a planetary ball mill. thestructural changes of powder particles during mechanical alloying were studied by x-ray diffractometery,scanning electron microscopy and microhardness measurements. for both compositions, mecha...

This study aims to establish a hysteretic model order reduction method for electric machines using the Cauer ladder network (CLN) method. The first inductor of CLN represents hysteresis effect, which is computed scalar play identified from static I– ϕ (current–magnetic flux) loops. An iron-core was analyzed, and pulse-width modulation (PWM) voltage input applied coil. proposed yielded results t...

in this paper, we propose to extend the hierarchical bivariatehermite interpolant to the spherical case. let $t$ be an arbitraryspherical triangle of the unit sphere $s$ and  let $u$ be a functiondefined over the triangle $t$. for $kin mathbb{n}$, we consider ahermite spherical interpolant problem $h_k$ defined by some datascheme $mathcal{d}_k(u)$ and which admits a unique solution $p_k$in the ...

The Fe IX spectrum features two lines in the extreme ultraviolet whose ratio has been rated among best density diagnostics solar spectrum. One line is an E1-allowed intercombination transition at 244.909 Å, other E1-forbidden M2 241.739 Å. Employing a medium and high resolution spectrometer Livermore EBIT-I electron beam ion trap, we have observed pair laboratory for first time. Using CHIANTI m...

Consider a function f which is defined on the integers from 1 to N and takes the values −1 and +1. The parity of f is the product over all x from 1 to N of f(x). With no further information about f , to classically determine the parity of f requires N calls of the function f . We show that any quantum algorithm capable of determining the parity of f contains at least N/2 applications of the uni...

Using density functional theory calculations and ab initio atomistic thermodynamics, H2O adsorption and dissociation on the Fe(110) p(4 × 4) surface at different coverages have been computed. At the lowest coverage, the adsorbed H2O, OH, O and H species can migrate easily on the surface. For (H2O)n adsorption, H2O molecules donating H atoms for H-bonding adsorb more strongly than those acceptin...

Spin-polarized density functional theory computations have been carried out to study the stable adsorption configurations of Cun (n = 1-7, 13) on Fe and Fe3C surfaces for understanding the initial stages of copper promotion in catalysis. At low coverage, two-dimensional aggregation is more preferred over dispersion and three-dimensional aggregation on the Fe(110) and Fe(100) surfaces as well as...