Sentence examples for proofs is based on from inspiring English sources
The technique of the proofs is based on construction of appropriate Lyapunov functions.
The basic idea of our proofs is based on a factorization of the fuzzy σ-algebra M and on properties of the σ-homomorphism U. Note that other approaches to a fuzzy generalization of the notion of a dynamical system are presented in [9 12].
Our proof is based on the one hand on the sub supersolution method for general quasilinear periodic-parabolic inclusions.
Our proofs are based on a blocking technique and a stable convergence theorem for semimartingales.
The proofs are based on new a priori estimates in conormal spaces.
Our proofs are based on the investigation of a new maximal function for spherical polynomials.
The proofs are based on geometrical and perturbative methods in Gelfand Shilov spaces.
The proofs are based on the method developed in [31] for quantum confinement on bounded domains in Rd.
The proofs are based on the representation theorems for upper triangular contractions considered earlier by D. Alpay and Y. Peretz.
Our proofs are based on a new kind of integration by parts which is of independent interest.
Our techniques of proofs are based on the Zak transform and the distribution of fractional parts of {na}n∈Z.
