In an astonishing breakthrough, two young students from Louisiana have done what many thought was impossible: proving ...

Now, a team of mathematicians led by a prominent Kyoto University professor has offered an alternative proof to Fermat's Last Theorem, the potential second solution in the past quarter-century.

Learn about Pierre de Fermat's Little Theorem, a result in number theory whose simplicity masks profound implications across ...

Their result is cast in the language of a no-go theorem, which is a proof that, under certain assumptions ... but upon a closer look this unravels into an acyclic structure where demand at time 1 ...

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I went hands-on with 7 prompts to test the reasoning capabilities of the o3-mini, the newest ChatGPT model available in the ...

An AI system developed by Google DeepMind, Google's leading AI research lab, appears to have surpassed the average gold ...

Winner: o3-mini wins for the best combination of clarity, detail and logical flow. Qwen 2.5 is in second place with a solid ...

Moreover the writer thinks that the general proof is often easier and more suggestive than the proof for the special case. To support this point of view we produce a new theorem, which of course also ...

The mathematical proof of the stability theorem involves some new results concerning a special system of difference-differential equations. Another stability criterion is derived in terms of more ...

A new proof has brought mathematicians one step closer ... The primes—numbers that are only divisible by themselves and 1—are the most fundamental building blocks in math.