Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis. It is certainly possible for a continuous frame to have only one dual. Such a continuous frame is called a Riesz-type frame [13]. We show that a continuous frame is Riesz-type if and only if it is a con...

In this paper we introduce controlled *-g-frame and *-g-multipliers in Hilbert C*-modules and investigate the properties. We demonstrate that any controlled *-g-frame is equivalent to a *-g-frame and define multipliers for (C,C')- controlled*-g-frames .

this paper deals with continuous frames and continuous riesz bases. we introduce continuous riesz bases and give some equivalent conditions for a continuous frame to be a continuous riesz basis. it is certainly possible for a continuous frame to have only one dual. such a continuous frame is called a riesz-type frame [13]. we show that a continuous frame is riesz-type if and only if it is a con...

Horticulture survey is a multi-purpose survey which is conducted ad hoc by Statistical Center of Iran (SCI). Availability of survey variables in the sampling frame suggests a multivariate stratification in each province based on its desired variables for acquiring a higher efficiency. There are several ways to stratify the sampling frame considering all stratification variables, such as using s...

The paper derives a generalised operational equivalent circuit for induction machines starting from fundamental principles in any arbitrary rotating reference frame. Directly measurable parameters are used in this equivalent circuit From this generalised model, the equations for any reference frame are derivable as particular cases. The model presented is versatile as it can be used for any ope...

a term in one language rarely has an absolute synonymous meaning in the same language; besides, it rarely has an equivalent meaning in an l2. english synonyms of seeing and hearing are particularly grammatically and semantically different. frame semantics is a good tool for discovering differences between synonymous words in l2 and differences between supposed l1 and l2 equivalents. vocabulary ...

A term in one language rarely has an absolute synonymous meaning in the same language; besides, it rarely has an equivalent meaning in an L2. English synonyms of seeing and hearing are particularly grammatically and semantically different. Frame semantics is a good tool for discovering differences between synonymous words in L2 and differences between supposed L1 and L2 equivalents. Vocabulary ...

The theory of c-frames and c-Bessel mappings are the generalizationsof the theory of frames and Bessel sequences. In this paper, weobtain several equivalent conditions for dual of c-Bessel mappings.We show that for a c-Bessel mapping $f$, a retrievalformula with respect to a c-Bessel mapping $g$ is satisfied if andonly if $g$ is sum of the canonical dual of $f$ with a c-Besselmapping which  wea...