As easy as breathing
نویسندگان
چکیده
منابع مشابه
It’s As Easy As abc
1224 NOTICES OF THE AMS VOLUME 49, NUMBER 10 Fermat’s Last Theorem In this age in which mathematicians are supposed to bring their research into the classroom, even at the most elementary level, it is rare that we can turn the tables and use our elementary teaching to help in our research. However, in giving a proof of Fermat’s Last Theorem, it turns out that we can use tools from calculus and ...
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Abstract. We prove that the inverse of a positive-definite matrix can be approximated by a weighted-sum of a small number of matrix exponentials. Combining this with a previous result [6], we establish an equivalence between matrix inversion and exponentiation up to polylogarithmic factors. In particular, this connection justifies the use of Laplacian solvers for designing fast semi-definite pr...
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It is known that innnite binary sequences of constant Kolmogorov complexity are exactly the recursive ones. Such a kind of statement no longer holds in the presence of resource bounds. Contrary to what intuition might suggest, there are sequences of constant, polynomial-time bounded Kolmogorov complexity that are not polynomial-time computable. This motivates the study of several resource-bound...
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One main idea when developing user interfaces for digital and hybrid libraries is to make use of real-world metaphors. This gives library customers the advantage to access digital collections the same way as they would traditional collections. However, while existing “real world” library interfaces still miss the attraction of the wider public, game industry is very successful selling virtual r...
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Proteins that behave as switches help to establish the complex molecular logic that is central to biological systems. Aspiring to be nature's equal, researchers have successfully created protein switches of their own design; in particular, numerous and varied zinc-triggered switches have been made. Recent studies in which such switches have been readily identified from combinatorial protein lib...
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ژورنال
عنوان ژورنال: BDJ team
سال: 2022
ISSN: ['2054-7617']
DOI: https://doi.org/10.1038/s41407-022-0859-1