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Hace 5 horas · We can now state Theorem 2 for a state classifier f and give sufficient conditions for f to induce a valid stutter-insensitive bisimulation. Theorem 3. Let \(\mathcal M\) be a deterministic labelled transition system with state space S and transition function T.
Hace 5 horas · ture ensures the validity of the Ehrenfest theorem [4] for the average force and the time derivative of the kine-matic momentum. The Ehrenfest theorem is quantum version of Newton’s second law. The total Hamiltonian H 0 also includes inter-electron interaction and the in-teraction with the external periodic and random poten-tials.
Hace 5 horas · According to the universal approximation theorem of CN , any continuous function of several variables can be approximated by a deep convolutional neural network with any predetermined accuracy. Therefore, if the sample is sufficiently representative, then seismic data mapping into the medium model can be learned with sufficiently high accuracy.
Hace 5 horas · After establishing Theorem 12.4, we also want to obtain an ordered analogue of Theorem 12.3. For this purpose, we need an ordered version of Theorem 12.2 . Although in Ziegler ( 1982 ), Beeson ( 1982 ) only theories in the language of fields are concerned, the proof of Ziegler’s Theorem essentially consists of constructing a model of T , in which the ring of integers is interpretable.
Hace 5 horas · Use the Pythagorean Theorem (Equation \ref{Pythagorean}) and the properties of right triangles to model an equation that fits the problem. Using the information given, we can draw a right triangle. We can find the length of the cable with the Pythagorean Theorem.
Hace 5 horas · Our paper generalizes the latest work on LexRSM as follows: (a) Soundness of LexRSM as a stochastic process: soundness of \(\varepsilon \)-fixable LexRSMs (Definition 4.2) generalizes [15, Thm. 1] in the sense that every GLexRSM is \(\varepsilon \)-fixable for any \(\varepsilon >0\) (Theorem 4.4); (b) Soundness of LexRSM as a function on program states: our result (Theorem 5.4) generalizes [15 ...
