Glossary of Mathematical Terms & Definition to use as a quick reference for some of the words commonly used in this website.
For practical use in the poultry industry and food engineering, the proposed formulae can be instrumental in the non-destructive and accurate definition of the external parameters of any chicken egg.doi:10.1016/j.foodcont.2020.107484Valeriy G. Narushin...
Thus, I am going to stick with the definition of mathematical realism that makes actualist psychologism come out as a version of realism. However, we will see below (section 2.2.3) that it is indeed true that actualist psychologism bears certain important similarities to certain versions of ...
We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models of flat epithelia to investigate the influence of curvature for...
2.2.1 Material definition For the finite element investigations, ANSYS is utilized. In the test model, the separation of a stringer from the outer shell is to be analysed using a CZM approach. This simulation method allows for easy extension to investigate crack initiation behaviour and permits ...
One only has to look at the plethora of papers and books on the topic of phase oscillators in mathematical neuroscience to see the enormous impact that this tool from dynamical systems theory has had on the way we think about describing neurons and neural networks. Much of this work has its...
The Linotron 404 and, more importantly, 202 machines from Linotype used a high-definition cathode ray tube to project a digitally generated image onto photosensitive paper or film under microprocessor control. The 202 set the standard for quality mathematical composition from its introduction in 1978...
Thus, curvature is proportional to arclength, the definition of the Euler spiral. James Bernoulli, at the end of his monumental 1694 Curvatura Laminae Elasticae1, presenting the solution to the problem of the elastica, sets out a number of other problems he feels may be addressed by the ...
By definition, the structure tensor is based on the spatial derivatives of an image in a small area that can be thought of as part of a receptive field. These spatial derivatives are then summed nonlinearly over the receptive field. LetMathMLdenote the original image intensity function, wherexa...
α describes the ratio of the pitch over a MN base radius so the arrangement of the MNs on a patch can be confirmed according to the conditions that are limited in a MN design stage. Following the definition of MNs geometry and arrangement, other parameters need to be input accordingly for...