let $p(lambda)$ be an $n$-square complex matrix polynomial, and $1 leq k leq n$ be a positive integer. in this paper, some algebraic and geometrical properties of the $k$-numerical range of $p(lambda)$ are investigated. in particular, the relationship between the $k$-numerical range of $p(lambda)$ and the $k$-numerical range of its companion linearization is stated. moreover, the $k$-numerical ...

We investigate local distinguishability of quantum states by use of the convex analysis about joint numerical range of operators on a Hilbert space. We show that any two orthogonal pure states are distinguishable by local operations and classical communications, even for infinite dimensional systems. An estimate of the local discrimination probability is also given for some family of more than ...

abstract  background: the goal of this report is to show our results with extension block technique for treatment of mallet fracture. the indications for this technique were the presence of a large bone fragment, and palmar subluxation.  methods: we retrospectively assessed the results of treatment in 14 mallet fractures  which have been treated by extension block technique to determine the ran...

OBJECTIVE To investigate the value of serum C reactive protein (CRP) as a marker of erosive osteoarthritis (EOA) of the hand. METHODS Ninety eight patients, 67 with EOA and 31 with non-EOA of the hand, were included in the study and analysed for radiographic score (RS), number of erosions, and joint count (JC) at clinical observation and at bone scintigraphy. CRP was assayed in a serum sample...

in this paper attempts have been done to create a mortar with relatively high uniaxial compressive strength (ucs), easy casting, high flexibility, instant hardening, low cost and easy availability. the main use of this material is to physically model the mechanical behavior of jointed rock-like blocks. the effect of four parameters such as joint roughness coefficient (jrc), bridge length (l), b...

most of river engineering problems are complicated and need to be analyzed by three dimensional models of flow and sediment transport. considering the fact that computers and numerical methods with great ability of flow and sediment transport simulation are developing quickly, using numerical modeling by engineers is inevitable. nevertheless, before application, numerical models need to be veri...

An optimal designmethod for the Gough–Stewart platformmanipulators based on dynamic isotropy is proposed. First, a dynamic isotropy measure is derived from the analysis of the natural frequencies of a Stewart platform at a neutral pose using the inverse of the joint space mass matrix. Next, considering a specific Gough–Stewart platform (SGSP), it is found that, when the payload inertia matrix i...

In quantum computing and quantum control, the investigation of the C-numerical range is of great importance. One relevant optimization problem can be represented as maximizing the trace function R (