Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, "Probability is the most important concept in modern science, especially as nobody has the ...
If someone told you that they were “probably” going to have pasta for dinner, but you later found out that they ate pizza, would you feel surprised – or even lied to? More seriously, what does it mean ...
Late Thursday, Mr. Musk’s chatbot, Grok, limited requests for A.I.-generated images on X to paid subscribers of the social media site amid an outcry from victims and regulators. By Kate Conger and ...
This story contains descriptions of explicit sexual content and sexual violence. Elon Musk’s Grok chatbot has drawn outrage and calls for investigation after being used to flood X with “undressed” ...
In many cases, we observe time series of discrete random variables with non-negative values, such as the number of customers or the number of insurance claims. The corresponding series of the first ...
Salt River Project's board approved a plan to convert a coal-fired unit at Springerville Generating Station to natural gas by 2030. The decision follows a similar conversion at nearby Coronado ...
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 ...
ABSTRACT: 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 ...
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 ...
Abstract: Generating function techniques have been extensively used to analyze the performance of both convolutional and trellis codes over AWGN and Rayleigh fading channels. We apply the generating ...
Arizona's Coronado Generating Station will convert from coal to natural gas by 2030. While cleaner than coal, natural gas is still a fossil fuel. The move faced opposition from some environmental ...