Throughout his life Erdős showed a particular fascination with inequalities for constrained polynomials. One of his favorite type of polynomial inequalities was Markovand Bernstein-type inequalities. For Erdős, Markovand Bernstein-type inequalities had their own intrinsic interest. He liked to see what happened when the polynomials are restricted in certain ways. Markovand Bernstein-type inequa...

Optimization concept in the context of shear deformation theories was born for the development of accurate models to study the bending problem of structures. The present study seeks to extend such an approach to the dynamic analysis of plates. A compact and unified formulation with non-polynomial shear strain shape functions (SSSFs) is employed to develop a static and free vibration analysis of...

Factorization Machines (FM) are a new model class that combines the advantages of polynomial regression models with factorization models. Like polynomial regression models, FMs are a general model class working with any real valued feature vector as input for the prediction of real-valued, ordinal or categorical dependent variables as output. However, in contrast to polynomial regression models...

in this paper, numerical simulation of frp composite cylinder tubes progressive crushing processes is conducted using ls-dyna. details on the numerical modeling strategy are given and discussed. it is found that triggers introduced in the numerical simulation can effectively model the bevel trigger at the end of the tubular specimens. it is also found that two-layer finite element model based o...