‎it is well known that every (real or complex) normed linear space $l$ is isometrically embeddable into $c(x)$ for some compact hausdorff space $x$‎. ‎here $x$ is the closed unit ball of $l^*$ (the set of all continuous scalar-valued linear mappings on $l$) endowed with the weak$^*$ topology‎, ‎which is compact by the banach--alaoglu theorem‎. ‎we prove that the compact hausdorff space $x$ can ...

in this paper, we introduce the cone normed spaces and cone bounded linear mappings. among other things, we prove the baire category theorem and the banach--steinhaus theorem in cone normed spaces.

In the present paper, we study some properties of fuzzy norm of linear operators. At first the bounded inverse theorem on fuzzy normed linear spaces is investigated. Then, we prove Hahn Banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. Finally the set of all compact operators on these spaces is studied.

convexity theory and duality theory are important issues in math- ematical programming. within the framework of credibility theory, this paper rst introduces the concept of convex fuzzy variables and some basic criteria. furthermore, a convexity theorem for fuzzy chance constrained programming is proved by adding some convexity conditions on the objective and constraint functions. finally,...

in this paper the bagley-torvik equation as a prototype fractional differential equation with two derivatives is investigated by means of homotopy perturbation method. the results reveal that the present method is very effective and accurate.

This paper describes a Modelica package for fixedpoint arithmetics and automatic fixed point code generation for embedded systems and FPGA applications. Using Dymola [1] to investigate the dynamic behavior of the original model a fixed point representation is automatically generated. The model can then be simulated, using fixed point arithmetics to verify the fixed-point representation. Finally...

We discuss QCD condensate contributions to the gluon propagator both in the fixedpoint gauge and in covariant gauges for the external QCD vacuum gluon fields with the conclusion that a covariant gauge is essential to obtain a gauge invariant QCD vacuum energy density difference and to retain the unitarity of the quark scattering amplitude. The gauge-invariant QCD condensate contributions to the...

It has been shown that a 32-bit logarithmic arithmetic unit can operate faster than, and maintain the accuracy of, a 32-bit floating point unit. It uses the logarithmic number system (LNS), in which a real number is represented as a fixedpoint logarithm. In this paper we investigate the implementation of three fast affine projection (FAP) algorithms using LNS. We propose a simplified Conjugate ...

This paper investigates the realization of an efficient low-complexity turbo-equalizer under fixedpoint data representation and computation constraints. We address the quantization issues that arise in the receiver design, and expose a simple computation procedure for the equalizer coefficients. The proposed solution is well-suited for a DSP implementation on low cost 16 bits fixed-point device...

This paper introduces a simple Markov process inspired by the problem of quasicrystal growth. It acts over two-letter words by randomly performing flips, a local transformation which exchanges two consecutive different letters. More precisely, only the flips which do not increase the number of pairs of consecutive identical letters are allowed. Fixed-points of such a process thus perfectly alte...