In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation[    fleft( sqrt[3]{ax^3 + by^3}right)=af(x) + bf(y),]    where $a,b in mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generaliz...

objective: in-time diagnosis of streptococcus pneumoniae (s. pneumonia) can play a significant role in decreasing morbidity and mortality rate. applying molecular methods has gained popularity due to the existing limits of routine diagnostic methods. examining the expression of different genes of this bacterium through different molecular methods suggests that lyta gene has a higher sensitivity...

Let A = (a ij) be a real n n matrix with non-negative entries which are weakly increasing down columns. If B = (b ij) is the nn matrix where b ij := a ij +z; then we conjecture that all of the roots of the permanent of B, as a polynomial in z; are real. Here we establish several special cases of the conjecture.

Como respuesta a estas limitaciones nace la Morfología Matemática, teoría surgida de las investigaciones de G. Matheron y J. Serra en los años 60, con fundamento en el uso de procesos no lineales derivados de la comparación de la imagen con un patrón geométrico sencillo, denominado Elemento Estructurante, aportando las ventajas siguientes: • Baja complejidad computacional, basándose tan sólo en...

The articles [4], [2], [1], and [3] provide the notation and terminology for this paper. For simplicity, we use the following convention: w, w1, w2 denote elements of R, c, c1, c2 denote elements of C, A, B, C, D denote complex-membered sets, F , G, H, I denote extended real-membered sets, a, b denote complex numbers, f , g denote extended real numbers, r denotes a real number, and e denotes a ...

One can prove the following two propositions: (1) Let V be a real unitary space, A, B be finite subsets of V , and v be a vector of V . Suppose v ∈ Lin(A∪B) and v / ∈ Lin(B). Then there exists a vector w of V such that w ∈ A and w ∈ Lin(((A ∪ B) \ {w}) ∪ {v}). (2) Let V be a real unitary space and A, B be finite subsets of V . Suppose the unitary space structure of V = Lin(A) and B is linearly ...

OBJECTIVE To study the role of hepatitis B virus with A1762T/G1764A double mutation in liver cirrhosis and hepatocellular carcinoma, and create a sensitive, fast, accurate assay for detection of A1762T/G1764A double mutation. METHODS We developed an accurate and fast real-time amplification refractory mutation system to detect A1762T/G1764A double mutation. Cloned hepatitis B virus genome was...

Two TaqMan-based real-time polymerase chain reaction (PCR) assays devised for the detection of two bovine Babesia parasites, Babesia bovis and B. bigemina, were evaluated for their diagnostic utility using cultured parasites and 92 field bovine blood samples collected from cattle living in Brazil. The real-time PCR assays were compared with previously established nested-PCR assays. The detectio...