Simple but accurate expressions for the total cross sections and energy-absorption cross sections for inelastic scattering of x rays from atomic, molecular, and condensed matter are developed. The starting point is the relativistic impulse approximation for Compton scattering of x rays. This gives the inelastic-scattering cross-section differential with respect to energy and solid-angle interva...

Two-dimensional (2D) electrides are layered ionic crystals in which anionic electrons are confined in the interlayer space. Here, we report a discovery of nontrivial [Formula: see text] topology in the electronic structures of 2D electride Y2C. Based on first-principles calculations, we found a topological [Formula: see text] invariant of (1; 111) for the bulk band and topologically protected s...

The study of singular perturbations of the Dirichlet energy is at the core of the phenomenological-description paradigm in soft condensed matter. Being able to pass to the limit plays a crucial role in the understanding of the geometric-driven profile of ground states. In this work we study, under very general assumptions, the convergence of minimizers towards harmonic maps. We show that the co...

Missing values are an old problem that is very common in real data bases. We describe the damages caused by missing values on condensed representations of patterns extracted from large data bases. This is important because condensed representations are very useful to increase the efficiency of the extraction and enable new uses of patterns (e.g., rules with minimal body, clustering, classificat...

Indexing methods for the approximate string matching problem spend a considerable effort generating condensed neighborhoods. Here, we point out that condensed neighborhoods are not a minimal representation of a pattern neighborhood. We show that we can restrict our attention to super condensed neighborhoods which are minimal. We then present an algorithm for generating Super Condensed Neighborh...

different acid chlorides (2a-d) reacted with anthranilic acid to produce 2-substituted-3, 1-benzoxazin-4-one (3a-d) which was used as starting material to synthesize some condensed and non-condensed heterocyclic compounds by reaction with nitrogen nucleophiles e.g., hydrazine hydrate, and formamide. some of the newly synthesized analogues were chosen to evaluate their cytotoxic activity against...

Variational quantum algorithms, which utilize Parametrized Quantum Circuits (PQCs), are promising tools to achieve advantage for optimization problems on near-term devices. Their PQCs have been conventionally constructed from parametrized rotational angles of single-qubit gates around predetermined set axes, and two-qubit entangling gates, such as CNOT gates. We propose a method construct PQC b...

pyrolysis of low density polyethylene (ldpe) by equilibrium fluid catalytic cracking (fcc) was studied in a stirred reactor under different process parameters. in this work, the effect of process parameters such as degradation temperature (420-510°c), catalyst/polymer ratio (0-60%), carrier gas type (h2, n2, ethylene, propylene, ar and he), residence time and agitator speed (0-300 rpm) on the c...

In reporting on the theorem prover SCOTT (Slaney, SCOTT: A Semantically Guided Theorem Prover, Proc. IJCAI, 1993) we suggested semantic constraint as as an appropriate mechanism for guiding proof searches in propositional systems where the rule of inference is condensed detachment|a generalisation of Modus Ponens. Such constrained condensed detachment is closely analogous to semantic resolution...