A general method to determine twinning elements

A general method to determine twinning elements

The fundamental theory of crystal twinning has been long established, leading to a significant advance in understanding the nature of this physical phenomenon. However, there remains a substantial gap between the elaborate theory and the practical determination of twinning elements. This paper proposes a direct and simple method - valid for any crystal structure and based on the minimum shear c...

A General Method to Determine Invariants

The determination of invariant characteristics is an important problem in pattern recognition. Many invariants are known: Hu's moment invariants are invariant to shifts, to changes of scale, and to rotations [Hu62]; Burkhardt's Fourier descriptors to shifts, to changes of scale and to rotations [Bu79]; Arbter's Fourier descriptors to a ne transformations [Ar90]; Wang's invariant moments to a ne...

A Wavelet Transform Based Method to Determine Depth of Anesthesia to Prevent Awareness during General Anesthesia

Awareness during general anesthesia for its serious psychological effects on patients and some juristically problems for anesthetists has been an important challenge during past decades. Monitoring depth of anesthesia is a fundamental solution to this problem. The induction of anesthesia alters frequency and mean of amplitudes of the electroencephalogram (EEG), and its phase couplings. We analy...

A new method to determine a well-dispersed subsets of non-dominated vectors for MOMILP ‎problem

Multi-objective optimization is the simultaneous consideration of two or more objective functions that are completely or partially inconflict with each other. The optimality of such optimizations is largely defined through the Pareto optimality. Multiple objective integer linear programs (MOILP) are special cases of multiple criteria decision making problems. Numerous algorithms have been desig...

A Portable Method to Determine Chloride