"Just memorize it, that's how it is" is a big 'no-no'When you are studying a language,you encounter this phrase many times.Why does German have,der, die, das, den, dem, des...so many articles?Why does ...
In 2004, two mathematicians hypothesized a powerful kind of sandwich. They were studying graphs, which are collections of points (called vertices) and lines (called edges). Graphs might represent ...
Moser’s circle problem can be used to divide a pizza into one, two, four, eight, 16 or 31 slices. It’s a perfect example of ...
Beyond empirical models: Discovering constitutive laws in solids with graph-based equation discovery
Constitutive models are fundamental to solid mechanics and materials science, underpinning the quantitative description of ...
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China photonic chip hits 98.7% Grover accuracy: Four photons carry 16 qubits on silicon
A silicon photonic chip built by a Hefei startup and China's foremost quantum research university has produced the largest entangled quantum state ever generated on a photonic integrated circuit — 16 ...
OpenAI just used its new large language model GPT-5.6 Sol to solve a math problem that humans have struggled with for more than a half-century. And all it took was telling the artificial intelligence ...
The chromatic polynomial \(P(G,k)\), introduced by Birkhoff in 1912, counts the number of proper \(k\)-colorings of a graph \(G\). Enumerative analogues have since been developed for two ...
When you're setting out to get a new gaming PC or laptop, you've probably noticed there are quite a few models out there without an Nvidia or AMD graphics chip. These devices usually come with an ...
Discrete Mathematics is started automatically after arriving at the N-Ray Range in Golden Ridge on Dorado. You'll be sent there as a part of On the Trail of the Traitor, and this is one of your only ...
The “Discrete Mathematics” quest in The Outer Worlds 2 comes with a hefty stack of obstacles, starting with its pickup point. You’ll have to avoid explosives, defeat invisible enemies, and solve a ...
A proper coloring of a graph is conflict-free if, for every non-isolated vertex, some color is used exactly once on its neighborhood. Caro, Petruševski, and Škrekovski proved that every graph \(G\) ...
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