We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a Two-State ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Excursion set theory is a powerful and widely used tool for describing the distribution of dark matter haloes, but it is normally applied with simplifying approximations. We use numerical sampling ...

Learn how to calculate the intrinsic value of a stock using Warren Buffett's proven method! Intrinsic value is the foundation of successful investing, helping you determine whether a stock is ...

Hey there, chemistry enthusiast! Ever found yourself mulling over the periodic table, or perhaps, on a cold wintry day, pondering about the stuff that helps melt the ice off your ...

Abstract: Among ultrasound images, the acoustic radiation force impulse (ARFI) image can provide information about the stiffness of the tissue using both a pushing beam and a detection beam. However, ...

Probability is a measure of how likely an event is to occur within a specific range of possible outcomes. While it is often associated with gambling, probability theory plays a vital role in various ...

Cumulative probability is an essential concept in the world of statistics and probability theory. It refers to the likelihood that a random variable will take a value equal to or less than a specific ...

1 Department of Endocrinology, Beijing Tongren Hospital, Capital Medical University, Beijing, China 2 Beijing Tongren Hospital, Capital Medical University, Beijing, China Background: Previous findings ...