ABSTRACT: We obtain an infinite series expression for the joint probability density function of occupation times in a Three-State Markov chain. By extending the identity given by Darroch, we ...

The FIND function allows you to find a text string within another. It returns the position at which a character or string begins within another text string. The output of the above function will be 5, ...

We walk here, we walk there, we walk everywhere. Maybe you’re headed to work or to lunch in a busy city. You’re expending energy, and the exercise is good for you. But what if, on top of that, we ...

In his decades-long career in tech journalism, Dennis has written about nearly every type of hardware and software. He was a founding editor of Ziff Davis’ Computer Select in the 1990s, senior ...

Function raises $10M led by Galaxy Digital to help institutions earn yield on bitcoin using FBTC, a fully backed, custody-safe DeFi product. Function, a crypto infrastructure startup, has raised $10 ...

Solar and wind accounted for almost 96% of new US electrical generating capacity added in the first third of 2025. In April, solar provided 87% of new capacity, making it the 20th consecutive month ...

The Coronado Generating Station (CGS) in St. John’s, AZ (Credit: SRP) Salt River Project (SRP) will convert the coal-fired Coronado Generating Station (CGS) to run on natural gas, following a ...

A trio of physicists from Princeton University, CIT's Jet Propulsion Laboratory and Spectral Sensor Solutions, all in the U.S., is proposing the possibility of generating electricity using energy from ...

Journal of Applied Probability, Vol. 58, No. 3 (SEPTEMBER 2021), pp. 621-636 (16 pages) Signatures are useful in analyzing and evaluating coherent systems. However, their computation is a challenging ...

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...