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Ansatz
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==Use== An ansatz is the establishment of the starting equation(s), the theorem(s), or the value(s) describing a mathematical or physical problem or solution. It typically provides an initial estimate or framework to the solution of a mathematical problem,<ref name="MWD" /> and can also take into consideration the [[Boundary value problem|boundary conditions]] (in fact, an ansatz is sometimes thought of as a "trial answer" and an important technique in solving differential equations<ref name=":1" />). After an ansatz, which constitutes nothing more than an assumption, has been established, the equations are solved more precisely for the general function of interest, which then constitutes a confirmation of the assumption. In essence, an ansatz makes assumptions about the form of the solution to a problem so as to make the solution easier to find.<ref>{{Cite web|url=https://www.lexico.com/definition/ansatz|archive-url=https://web.archive.org/web/20201026063353/https://www.lexico.com/definition/ansatz|url-status=dead|archive-date=October 26, 2020|title=Ansatz {{!}} Definition of Ansatz by Lexico|website=Lexico Dictionaries {{!}} English|language=en|access-date=2020-10-22}}</ref> It has been demonstrated that machine learning techniques can be applied to provide initial estimates similar to those invented by humans and to discover new ones in case no ansatz is available.<ref>{{cite journal | last1 = Porotti | first1 = R. | last2 = Tamascelli | first2 = D. | last3 = Restelli | first3 = M. | last4 = Prati | first4 = E. | year = 2019 | title = Coherent transport of quantum states by deep reinforcement learning | journal = Communications Physics | volume = 2 | issue = 1| page = 61 | doi=10.1038/s42005-019-0169-x| arxiv = 1901.06603 | bibcode = 2019CmPhy...2...61P | doi-access = free }}</ref>
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