Based on the fuzzy theory, such concepts as the fuzzy mean and fuzzy variance are introduced to determine thc linear discriminant function of fuzzy graphs thus providing the maximum separation of thesc fuzzy groups in a real space.
Mean oscillation of functions and the Paley-Wiener space
例句来源
Ideal weights: Asymptotically optimal versions of doubling, absolute continuity, and bounded mean oscillation
例句来源
Lower frame bounds for sequences of exponentials are obtained in a special version of Avdonin's theorem on "1/4 in the mean" [1] and in a theorem of Duffin and Schaeffer [4].
例句来源
As a consequence we obtain results about injectivity of the spherical mean operator in the Heisenberg group and the complex Radon transform.
例句来源
We first show that if p>amp;gt;1, thenQp(?Δ)=BMO(?Δ), the space of complex-valued functions with bounded mean oscillation on ?Δ.
An integrating mechanism based on the principle of the planimeter is suggested. This instrument may be used to determine the mean height of a curve. No calibration is required.
1. First, it gives a new vector formulae: where r_1,r_2…,r_(n-1) are n-1 linear independent vectors. 2. The above formulae may be applied to the study of the inversion of hypersur-faces in the Euclidean space of N dimensions. Some properties of inversions are proved, It indicates that the inversion is conformal, the image of line of curvature is still the line of curvature of the inversion S of the hypersurface S, the principal curvature, the total curvature, and mean curvature of S are the functions...
The excessive rainfall of Shanghai is analyzed through utilizing 37 years (1919—1956)self-recording raingage records. Firstly, by averaging these 37 sets largest excessive rainfall intensities and plotting the intensity-duration relation curve on logarithmic paper. The resulting curve breaks into two approximately straight lines. By purely empirical curve fitting method we obtain two straightline equations. Secondly, the recurrence interval and“rain-strength” relation curve on logarithmic paper will also br...