in the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

Let B be a Borel set in E with volume V (B) = ∞. It is shown that almost all lattices L in E contain infinitely many pairwise disjoint d-tuples, that is sets of d linearly independent points in B. A consequence of this result is the following: let S be a star body in E with V (S) = ∞. Then for almost all lattices L in E the successive minima λ1(S,L), . . . , λd(S,L) of S with respect to L are 0...

in this paper, the definition of meet-continuity on $l$-directedcomplete posets (for short, $l$-dcpos) is introduced. as ageneralization of meet-continuity on crisp dcpos, meet-continuity on$l$-dcpos, based on the generalized scott topology, ischaracterized. in particular, it is shown that every continuous$l$-dcpo is meet-continuous and $l$-continuous retracts ofmeet-continuous $l$-dcpos are al...

abstract in the past twenty-five years, the russian government has been faced with widespread corruption and despite many efforts it hasn’t been able to control that. according to transparency international report in 2013, this country was the 127th among 177 countries. this essay tries to analyze the role of administrative oligarchy and continuity of corruption in russia. the main question of ...

Real-valued functions of a real variable which are continuous with respect to the density topology on both the domain and the range are called density continuous. A typical continuous function is nowhere density continuous. The same is true of a typical homeomorphism of the real line. A subset of the real line is the set of points of discontinuity of a density continuous function if and only if...

The main goal of a scrambler is to make a speech signal unintelligible via the permutation of its frequency subbands. In this work, we assume a sampling frequency of 8 kHz and a filter bank with 8 channels, each using a filter with 128 coefficients. With N being the number of (permutable) subbands, there are N ! possible permutations. However, not all of them are efficient [1]; this is due to t...

A key requirement across a multitude of industries is to accurately produce, easily manipulate, and quickly change waveforms of various frequencies and types. Whether a wideband transceiver requires an agile low-phase-noise frequency source with excellent spurious-free dynamic performance or an industrial measurement and control system needs a stable frequency stimulus, the ability to quickly, ...