In this study, direction curves of spherical indicatrix (primarily tangent indicatrix) for a curve in three dimensional Euclidean space were investigated. Mentioned was given with new alternative frame which is {N,C,W} frame. It aspect that researching relations between and the main via The harmonic curvatures geodesic image principal normal obtained. general helix, slant helix C-slant characte...

We give a comprehensive introduction to a general modular frame construction in Hilbert C*-modules and to related linear operators on them. The Hilbert space situation appears as a special case. The reported investigations rely on the idea of geometric dilation to standard Hilbert C*-modules over unital C*-algebras that admit an orthonormal modular Riesz basis. Interrelations and applications t...

The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $tilde{X}$-frame and a system conjugate to $tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $tilde{X}$-frame having a conjugate system is studied.

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

the generalization of p-frame in banach spaces is considered in this paper. the concepts of an $tilde{x}$-frame and a system conjugate to $tilde{x}$-frame were introduced. analogues of the results on the existence of conjugate system were obtained. the stability of $tilde{x}$-frame having a conjugate system is studied.

The C gene of bacteriophage Mu, required for transcription of the phage late genes, was localized by construction and analysis of a series of deleted derivatives of pKN50, a plasmid containing a 9.4 kb Mu DNA fragment which complements Mu C amber mutant phages for growth. One such deleted derivative, pWM10, containing only 0.5 kb of Mu DNA, complements C amber phages and transactivates the mom ...

In this paper, firstly, in $E_1^3$, we defined normal Fermi-Walker derivative and applied for the adapted frame. Normal Fermi-Walker parallelism, normal non-rotating frame, and Darboux vector expressions of normal Fermi-Walker derivative by normal Fermi-Walker derivative are given for adapted frame. Being conditions of normal Fermi-Walker derivative and normal non-rotating frame are examined fo...