Abstract With the rapid advancement and growth of computer networks, there have been greater demands for remote user password authentication protocols. In current ages, smartcard-based protocol has formed standard with their incredibly insubstantial, user-friendly equipment low-cost apps. this study, we proposed an effective robust using conformable chaotic map, where a calculus is branch newly...

The Natural Earth projection is a new projection for representing the entire Earth on small-scale maps. It was designed in Flex Projector, a specialized software application that offers a graphical approach for the creation of new projections. The original Natural Earth projection defines the length and spacing of parallels in tabular form for every five degrees of increasing latitude. It is a ...

For global-scale geographic information, there are relatively few sources that can be used to form or structure a cognitive map. One of the most common sources for this information is maps, the only reference that permits an individual a comprehensive view of the world without having to integrate information from multiple views (e.g., stitching together the two halves of a globe or assembling t...

In previous work we have demonstrated that the microtubule-associated protein 2 (MAP 2) molecule consists of two structural parts. One part of the molecule, referred to as the assembly-promoting domain, binds to the microtubule surface and is responsible for promoting microtubule assembly; the other represents a filamentous projection observed on the microtubule surface that may be involved in ...

Let A be a nite von Neumann algebra and p 2 A a projection. It is well known that the map which assigns to a positive normal functional of A its support projection, is not continuous. In this note it is shown that if one restricts to the set of positive normal functionals with support equivalent to a xed p, endowed with the norm topology, and the set of projections of A is considered with the s...

Let $mathcal {A} $ and $mathcal {B} $ be C$^*$-algebras. Assume that $mathcal {A}$ is of real rank zero and unital with unit $I$ and $k>0$ is a real number. It is shown that if $Phi:mathcal{A} tomathcal{B}$ is an additive map preserving $|cdot|^k$ for all normal elements; that is, $Phi(|A|^k)=|Phi(A)|^k $ for all normal elements $Ainmathcal A$, $Phi(I)$ is a projection, and there exists a posit...