By now, ChatGPT, Claude, and other large language models have accumulated so much human knowledge that they're far from simple answer-generators; they can also express abstract concepts, such as ...

Abstract: Problem solving, worked examples, and erroneous examples have proven to be effective learning activities in Intelligent Tutoring Systems (ITSs). However, it is generally unknown how to ...

MR. SMITH's small “Algebra” has deservedly obtained high favour in our schools for its lucidity. The work before us aims at presenting the solutions, not always necessarily in the shortest way, but ...

This is a solution manual for Paolo Aluffi's ALGEBRA, Chapter 0, a textbook that introduces abstract algebra using the language of categories. I find this approach to be particularly appealing. So I'm ...

#OctopusEffects, #Blender This is a basic tutorial on Geometry Nodes in Blender 3.1. Learning Geometry Nodes through doing a specific product will make it easier for you to absorb. In this video we ...

An abstract sentence is a sentence that expresses an idea, concept, or quality rather than something you can see, touch, or measure directly. It deals with things like emotions, values, theories, or ...

THE value of such a book is great both to teachers and students. The former, as we have often pointed out, have scant leisure for working out the more elaborate questions which nowadays have place ...

A modern Red Riding Hood on her way to Grandma’s house can meander through the woods, or drive down the interstate, or even climb a mountain to come around the back way. All those routes will get her ...

Image credits: Peter Badge / Typos1 / The Abel Prize. This year, the Abel Prize — the field’s highest honor — has been awarded to Masaki Kashiwara, prolific Japanese mathematician whose work has ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? Representation theory transforms abstract algebra groups into things like simpler ...

Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...