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This lesson covers solved numerical problems on molarity, molality, mole fraction, and percentage concentrations to help you clearly understand solution concentration concepts in chemistry.

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

inally! That’s both a statement about where this column fits into our publishing schedule for the year – it’s the final Digital Life you’ll have to endure until 2026, thank god! – and a summary of an ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...

Srinivasa Ramanujan grew up in southern India with almost no formal education, but his mind never stopped creating mathematics. Using nothing but a single outdated textbook, he taught himself advanced ...

How do you like your Christmas lights? We all have our preferences, and we’re spoiled for choice, making it easy to decorate our trees exactly the way we want. You can pick white lights, multi-color ...

Some problems don’t always wait for parts; they meet a toolbox, a junk drawer, and a brain that refuses to quit. That’s where the best DIY shows up: fast, clever, and just odd enough to work. These ...

That’s how Meta’s chief AI scientist Yann LeCun described the blowback after OpenAI researchers did a victory lap over GPT-5’s supposed math breakthroughs. Google DeepMind CEO Demis Hassabis added, ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

As a new school year begins in North Macedonia, Vesna Janevska says deep-seated problems in the country’s education system will take years to sort out. The shortage of free-of-charge textbooks at the ...