Abstract: Characterization of entropy functions is of fundamental importance in information theory. By imposing constraints on their Shannon outer bound, i.e., the polymatroidal region, one obtains ...

Abstract: Students’ diverse cognitive functions play a pivotal role in shaping their problem-solving behaviors, emphasizing the need to identify and cultivate these abilities to enhance learning ...

Services from Cloudflare, a software company, underpin thousands of websites, including X, Spotify and OpenAI. The company said a crash in a software system was to blame. By Victor Mather Cloudflare, ...

A new Agent Mode comes to Office apps today, alongside an Office Agent in Copilot chat. is a senior editor and author of Notepad, who has been covering all things Microsoft, PC, and tech for over 20 ...

A lot of people use apps like Microsoft Word to create documents with interactive checkboxes. For instance, you'd need to insert checkboxes if you're putting together a to-do list (and don't want to ...

Word problems are often described as “math stories” and can put complex mathematical operations into a more approachable form for students. But students often struggle when they see a combination of ...

Word already displays the number of words in a document in its status bar for all versions. This number appears at the bottom, second to the right after the number of pages in the document. If you ...

Do you sense something problematic about the word “problematic”? The way it’s used has changed a great deal in recent years, so much that it can now seem a little shifty. The journey that brought us ...

Forbes contributors publish independent expert analyses and insights. Laura Clayton McDonnell covers tax, legal, risk & regulatory issues. In fact, now is arguably the most vital time for C-suites and ...

There are countless reasons you might create a document. Learn how to use Copilot in Microsoft Word to generate the content you need, edit the content you’ve written, and more. Write an outline for an ...

Word problems try and tell students a story about the math problem in front of them. They are a useful way to connect abstract numbers to concrete situations, so students can learn early on to apply ...