Abstract It is proved that all sufficiently large integers n can be represented as n = x 1 2 + 3 ⋯ 13 14 , n=x_{1}^{2}+x_{2}^...

This letter presents an algorithm, CrySSMEx, for extracting minimal finite state machine descriptions of dynamic systems such as recurrent neural networks. Unlike previous algorithms, CrySSMEx is parameter free and deterministic, and it efficiently generates a series of increasingly refined models. A novel finite stochastic model of dynamic systems and a novel vector quantization function have ...

Examples of nonsingular cosmological models are presented on the basis of exact solutions to multidimensional gravity equations. These examples involve pure imaginary scalar fields, or, in other terms, “phantom” fields with an unusual sign of the kinetic term in the Lagrangian. We show that, with such fields, hyperbolic nonsingular models with a cosmological bounce (unlike spherical and spatial...

Neuroscience research is becoming increasingly more collaborative and interdisciplinary with partnerships between industry and academia and insights from fields beyond neuroscience. In the age of institutional initiatives and multi-investigator collaborations, scientists from around the world shared their perspectives on the effectiveness of large-scale collaborations versus single-lab, hypothe...

It is a fact that programming is difficult to learn. On the other hand, programming skills are essential for each program in the field of computing and must be covered in the curriculum, regardless of the profile. Our experience in the last 3-4 years shows a noticeable downward trend in students’ results in computer science and similar programs. In this article, we comment on the reasons that h...

the present study compared the relationship between critical thinking and academic achievement among physical education students and students in other fields of study in bu ali sina university, hamedan. this was a cross sectional study with a randomly stratified sampling method. available population was all 293 undergraduate students in bu ali sina university. the number of participants was det...

In QFT, quantum mechanical interactions between particles are described by interaction terms between the corresponding underlying fields. QFT interaction terms are similar in spirit to those between charges with electric and magnetic fields in Maxwell's equations. However, unlike the classical fields of Maxwell's theory, fields in QFT generally exist in quantum superpositions of states and are ...