let ‎x be an ‎‎n-‎‎‎‎‎‎square complex matrix with the ‎cartesian decomposition ‎‎x = a + i ‎b‎‎‎‎‎, ‎where ‎‎a ‎and ‎‎b ‎are ‎‎‎n ‎‎times n‎ ‎hermitian ‎matrices. ‎it ‎is ‎known ‎that ‎‎$vert x vert_p^2 ‎leq 2(vert a vert_p^2 + vert b vert_p^2)‎‎‎$, ‎where ‎‎$‎p ‎‎geq 2‎$‎ ‎and ‎‎$‎‎vert . vert_p$ ‎is ‎the ‎schatten ‎‎‎‎p-norm.‎ ‎‎ ‎‎in this paper‎, this inequality and some of its improvements ...

Let ‎X be an ‎‎n-‎‎‎‎‎‎square complex matrix with the ‎Cartesian decomposition ‎‎X = A + i ‎B‎‎‎‎‎, ‎where ‎‎A ‎and ‎‎B ‎are ‎‎‎n ‎‎times n‎ ‎Hermitian ‎matrices. ‎It ‎is ‎known ‎that ‎‎$Vert X Vert_p^2 ‎leq 2(Vert A Vert_p^2 + Vert B Vert_p^2)‎‎‎$, ‎where ‎‎$‎p ‎‎geq 2‎$‎ ‎and ‎‎$‎‎Vert . Vert_p$ ‎is ‎the ‎Schatten ‎‎‎‎p-norm.‎ ‎‎ ‎‎In this paper‎, this inequality and some of its improvements ...

in this paper, we introduce the notions of c-numerical range and c-spectrum of matrix polynomials. some algebraic and geometrical properties are investigated. we also study the relationship between the c-numerical range of a matrix polynomial and the joint c-numerical range of its coefficients.

in order to study the development of knee joint in absence of movement; mouse limb buds were separated from 15 days old embryos and cultured in ham's f-io medium conditioned with 37°c and 5% co2 for 1 to 6 days. the medium was renewed every 24h during incubation. after 6 days, specimens were fixed by buin's fluid, embedded in paraffin wax, serially sectioned and stained with h&e.; the...

In this paper, we introduce the notions of C-numerical range and C-spectrum of matrix polynomials. Some algebraic and geometrical properties are investigated. We also study the relationship between the C-numerical range of a matrix polynomial and the joint C-numerical range of its coefficients.

Background/objective: Despite the present routine treatment of septic arthritis with antibacterial agents, articular damage is persistent and frequently leads to loss of joint function.  The aim of this study was to assess the effect of intra-articular corticosteroids added to systemic antibiotics in the treatment of experimental staphylococcal knee joint infection in rabbits. Methods: Thirty r...

background chronic sacroiliac (si) joint pain constitutes 16% to 30% of the total prevalence of chronic low back pain, which is commonly unilateral. apart from conservative management, various interventional pain management procedures have been reported. intraarticular deposteroid injection has been described as the most evidence-based, but different various radio frequency (rf) procedures have...

background/objective: despite the present routine treatment of septic arthritis with antibacterial agents, articular damage is persistent and frequently leads to loss of joint function.  the aim of this study was to assess the effect of intra-articular corticosteroids added to systemic antibiotics in the treatment of experimental staphylococcal knee joint infection in rabbits.   methods : thirt...