The asymmetric unit of the title Schiff base compound, C(21)H(26)N(2)O(4), consists of four crystallographically independent mol-ecules, viz. A, B, C and D. The A and D, and the B and C mol-ecules are related by a pseudo-inversion centre, and the remaining pairs of mol-ecules differ in the orientations of one of the meth-oxy groups. In each independent mol-ecule, intra-molecular O-H⋯N hydrogen ...

Based on the theory of a falling shadow which was first formulated by Wang [15], a theoretical approach of the pseudo ideal structure in pseudo d-algebras is established. Several properties are investigated, and relations among a falling pseudo d-subalgebra, a falling pseudo BCK-ideal and a falling pseudo d-ideal are discussed. A characterization of a falling pseudo d-ideal is provided. Conditi...

in this short article, we observe that the path of particle of mass $m$ moving along $mathbf{r}= mathbf{r}(t)$ under pseudo-force $mathbf{a}(t)$, $t$ denotes the time, is given by $mathbf{r}_d= int(frac{dmathbf{r}}{dt} mathbf{a}(t)) dt +mathbf{c}$. we also observe that the effective force $mathbf{f}_e$ on that particle due to pseudo-force $mathbf{a}(t)$, is given by $ mathbf{f}_e= mathbf{f} mat...

Introduction: Many applications require the realization of a random number generator featuring some desirable properties [1]; often such a device is at the very heart of a system. Examples of applications in the electronic field include cryptography, for which the period length serves as a minimum protection versus brute force attacks, and initialization of parameters for training of neural net...

Let G G be a connected, simply-connected, compact simple Lie group. In this paper, we show that the isometry group of with left-invaria...