Adversity usually presents us with one if not a number of problems that we must solve. We have gotten this far in our lives by solving the problems that we have confronted. We have learned ways to do ...

Student loans look like another mess that has reached a tipping point in Britain's shonky financial system. There are three different types of student loan plan that graduates could currently be on ...

Many engineering challenges come down to the same headache—too many knobs to turn and too few chances to test them. Whether tuning a power grid or designing a safer vehicle, each evaluation can be ...

When my cofounder and I were accepted into a competitive startup accelerator program in fall 2025, we applied with an ambitious idea: to build an “AI scientist” for machine learning research. What ...

These start-ups, including Axiom Math and Harmonic, both in Palo Alto, Calif., and Logical Intelligence in San Francisco, hope to create A.I. systems that can automatically verify computer code in ...

Build flexible Excel functions that automatically handle blanks, defaults, and overrides without messy nested IFs.

Two vectors close vectorA vector quantity has both direction and magnitude (size). are parallel if they have the same (or opposite) directions. Their magnitude can be different. In the image to the ...

Wanna see a trick? Give us any topic and we can tie it back to the economy. At Planet Money, we explore the forces that shape our lives and bring you along for the ride. Don't just understand the ...