hence any solution to Fermat’s equation is forbidden to exist, and hence Fermat’s Theorem must be true. If somebody could prove the Shimura-Taniyama conjecture, then this would immediately imply the proof of Fermat’s Last Theorem.
Scales of Banach spacesFixed point theorems2000 Mathematics Subject Classification: 35A10We consider an abstract version of the Cauchy–Kowalewski Problem with the right-hand side being free from the Lipschitz-type conditions, and prove the existence theorem.doi:10.1080/02781070410001722323...
Here we use combinatorial arguments to provide an alternative and more direct proof of this result and to prove that minimal return times to dynamical balls grow linearly with respect to its length. Some relations using weighted versions of recurrence times are also obtained for equilibrium states....
Edelsbrunner et al. (2015) reported a means of analyzing the eigenspaces of the homology induced map of a self-map (discrete dynamical system). For this analysis, the authors construct a filtration of simplicial maps from the sampled map and build its persistent homology by application of the...
Philosopher of social science Daniel Little on "realists" versus "instrumentalists": Correspondence, abstraction, and realism: Science is generally concerned with two central semantic features of theories: truth of theoretical hypotheses and reliability
(superficially) read through the examples but are nudged to self-explain the principles (e.g., mathematical theorems, strategy guidelines) applied in the examples (self-explanation effect; e.g., Chi et al.1989; Renkl2017, Renkl and Eitel2019). In recent publications, the self-explanation ...
We prove several logic-independent results including soundness and completeness theorems and instantiate our framework with a number of examples: classical, intuitionistic,linear and modal propositional logic.doi:doi:http://dx.doi.org/Joseph A. Goguen...
And the laws of which it is the result must be sought in history, and the general laws of society and social evolution.” These extracts indicate the line of thought by which Professor Leslie has been led to regard the general theorems of Ricardo as mere “guesses,” and the deductive ...
Notice that the complex spectra enable a theory to evade the restriction of the axiomatic or analytic theorems like the JLD represen- tation because it deviates from the framework of tempered distributions. In this scenario, complex poles are not an indi- cation of the non-locality but just a...
Level 2: Understanding. Second, we seek to understand by getting a better look, reframing the problem, performing thought experiments, proposing new theorems, etc. That is to say, we formulate possible explanations. We do not simply seek more facts, we seek more facts insofar as they may pro...