This is a preview. Log in through your library . Abstract Let $A$ be an $m \times n$ matrix of rank $r$ with integer entries. It is proved that if the system $Ax = 0 ...
Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...
This is a preview. Log in through your library . Journal Information This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the ...
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AI techniques excel at solving complex equations in physics, especially inverse problems
Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
The question of whether we live in a real world or a simulated one has plagued philosophers for centuries - but now scientists believe they finally have found a way to test the theory. By Lucy Kinder ...
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