Analytical solutions of time-fractional advection problem

we use variational iteration method (VIM) to solve some nonlinear time-fractional advection problem.Compared to the other method, the VIM is direct and straightforward

Correlation between optical and SEM measurements of wool cortical cell size

Wool fibres consist of micro to nano scale protein constituents that could be used for innovative applications. While techniques for extracting these constituents or making wool fibres into organic powders have been developed, effectively dispersing the particles and accurately determining their size has been difficult in practice. In this study, an ultrasonic method was employed to disperse cortical cells extracted from wool fibres into animmersion oil or ethanol. Specimens of the cortical cells were then observed under optical microscopy and scanning electron microscopy, respectively. Cell length and maximum cell diameter were measured to quantify the cell size. The results suggest significant discrepancies exist in the cortical cell size obtained from the two different measurement techniques. The maximum diameter of wool cortical cells obtained from the optical microscope was much larger than that from the scanning electron microscope, while the length was much shorter. A correction factor is given so that cortical cell size obtained from the two measurement techniques can be compared.<br /

The Cinderella Complex: Word Embeddings Reveal Gender Stereotypes in Movies and Books

Our analysis of thousands of movies and books reveals how these cultural products weave stereotypical gender roles into morality tales and perpetuate gender inequality through storytelling. Using the word embedding techniques, we reveal the constructed emotional dependency of female characters on male characters in stories

The softness of alpaca fibres

Softness is a unique selling point for luxury fibres such as alpaca. However, there is very little objective data on the softness of animal fibres. This study first establishes that the resistance to compression (RtC) behaviour of alpaca and wool fibres is quite different, and that the RtC method can not be used to examine the softness of different animal fibres. It then reports a new method for evaluating fibre softness. This method is based on the measurement of the force required to pull a fibre bundle through a series of parallel pins. This force, reflecting the combined effect of fibre surface properties, fibre diameter and rigidity, can achieve reasonable discrimination between fibres of varying levels of softness, such as alpaca and wool. Mechanisms responsible for the superior softness of alpaca fibres are discussed also.<br /