Three-dimensional topological gapless phases have attracted significant attention due to their unique electronic properties. A flagship example is Weyl semimetals, which require breaking time-reversal or inversion symmetry. In two dimensions, the dimensionality reduction requires imposing an additional symmetry, thereby weakening phase. Like its three-dimensional counterpart, these ``two-dimens...

In this paper, a two-dimensional multi-wavelet is constructed in terms of Chebyshev polynomials. The constructed multi-wavelet is an orthonormal basis for space. By discretizing two-dimensional Fredholm integral equation reduce to a algebraic system. The obtained system is solved by the Galerkin method in the subspace of by using two-dimensional multi-wavelet bases. Because the bases of subs...

The effect of a sharp low-level temperature inversion on flow over a mountain is investigated via a series of two-dimensional idealized numerical model simulations. The main focus of the study is the effect of the inversion on the formation of lee waves, lee-wave rotors, low-level hydraulic jumps and the occurrence of wave breaking aloft. The idealized problem considered consists of an upwind v...

The title compound, [Sn(CH3)2Cl2(CH4N2S)2], crystallizes with two half-mol-ecules in the asymmetric unit. Both mol-ecules are completed by inversion symmetry with the two Sn(IV) atoms located on inversion centers. The metal atoms have distorted octa-hedral coordination environments defined by two Cl atoms, two C atoms of methyl groups and two thio-urea S atoms. In the crystal, mol-ecules are li...

An experimental study of the phase inversion behavior of liquid-liquid dispersion has been conducted in a spray extraction column for systems of toluene / water, n-hexane/water, CCl4/water, toluene /water + glycerol (25 % wt), toluene + CCl4 (25 % wt) / water and toluene / acetic acid (5 % wt)/water. The effects of physical properties, mass transfer and column geometry...

In the title compound, [Cu(NO(3))(2)(C(6)H(6)N(4)S(4))](n), the Cu(II) atom, occupying a crystallographic inversion centre, is six-coordinated by two N atoms of two 2,2'-[1,2-ethane-diyl-bis-(thio)]bis-[1,3,4-thia-diazole] ligands in trans positions, and four O atoms from two symmetry-related opposite nitrate anions, which are asymmetrically bonded, resulting in a strong distorted octa-hedral g...

We derive explicit inversion formulae for the attenuated geodesic and horocyclic ray transforms of functions and vector fields on two-dimensional manifolds equipped with the hyperbolic metric. The inversion formulae are based on a suitable complexification of the associated vector fields so as to recast the reconstruction as a Riemann Hilbert problem. The inversion formulae have a very similar ...

In the crystal structure of the title compound, C5H6ClN3, mol-ecules are linked by pairs of N-H⋯N hydrogen bonds, forming inversion dimers. These dimers are linked via N-H⋯N hydrogen bonds, forming a two-dimensional network lying parallel to (100). Inversion-related mol-ecules are also linked via a slipped π-π inter-action, with a centroid-centroid distance of 3.5259 (11) Å, a normal separation...

The asymmetric unit of the title compound, C(14)H(14)N(4)·2H(2)O consists of two half-mol-ecules of the main mol-ecule, each situated on an inversion center, and two mol-ecules of water. One-dimensional chains of water mol-ecules are built up by O-H⋯O hydrogen bonds which are then linked with the main mol-ecule via O-H⋯N hydrogen bonds, forming a two-dimensional supra-molecular network in the a...

Humans perceive shape in two-dimensional shaded images, and turning such an image upside down can result in inversion of the relief of this image. Previous research indicates that this inversion is caused by assumptions related to overhead illumination, global convexity and viewpoint above the surface. In our article, we describe the inverted waves effect, in which turning an image of waves ups...