Abstract For over a century since the Nobel prize winning work by Einstein (1905 Ann. Phys. 17 132), atomic photoionization was thought to be an instantaneous process. Recent experimental advances in ultrashort laser pulse generation has allowed resolve this process time. The concept of time delay introduced Wigner (1955 Rev. 98 145–7) particle scattering appears central resolution photoionizat...

<p style='text-indent:20px;'>We study the flocking model for continuous time introduced by Cucker and Smale adding a positive delay <inline-formula><tex-math id="M1">\begin{document}$ \tau $\end{document}</tex-math></inline-formula>. The goal of this article is to prove that same unconditional result non-delayed case valid in delayed case. A novelty we do not need ...

introduction: pulmonary tuberculosis is major problem worldwide and it is estimated one third the world population are already infected and each year 9 million people develop full blown tuberculosis of these 3 million die of the disease, annually. delay in diagnosis and treatment are major problems that play a significant role in all aspect of the disease from patient treatment to transmission ...