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Using commutation methods (i.e., N = 1 supersymmetry) underlying Miura's transformation, an explicit construction of solutions of the modified Korteweg-de Vries equation, given a solution of the (ordinary) Korteweg-de Vries equation, is provided.
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This proof uses the commutation method and shares structure with the proofs in [2, 5].
The approach in this article uses the ideas from [2, 5] and the commutation method.
We will follow the commutation method approach used in [2, 5], suitably generalized to our setting.
Moreover, the novel sensorless commutation method includes a mask-based phase shift detector to detect precise optimal commutation points.
By this topology the harmonics introduced into the rotor circuit by the diode bride in the IGBT crowbar are got rid of and by this commutation method the overvoltage risk at turning off the IGBT is eliminated.
We provide a complete spectral characterization of the double commutation method which introduces eigenvalues into arbitrary spectral gaps of a given background Schrödinger operator in L2(R) respectively in L2 0, ∞)).
Our unified commutation-pruning method performs the decomposition of the DFT N into three stages of smaller dimension DFTs and pruning part of those inputs that are equal to zero and/or part of those outputs that are not needed to compute the final Fourier coefficients.
This paper presents a novel commutation failure (CF) assessment method considering the influences of voltage magnitude drop, phase shift, and spatial-temporal discreteness of AC system faults.
Additionally, the computation of each final output employs a commutation between a direct method and the 2BF filtering algorithm, i.e., the 2BF-filtering algorithm is an efficient method for computing a subset of final outputs from their decomposition transform [23, 24].
In standard truth-functional propositional logic, commutation, or commutativity refer to two valid rules of replacement.
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