In this paper, a two-dimensional multi-wavelet is constructed in terms of Chebyshev polynomials. The constructed multi-wavelet is an orthonormal basis for space. By discretizing two-dimensional Fredholm integral equation reduce to a algebraic system. The obtained system is solved by the Galerkin method in the subspace of by using two-dimensional multi-wavelet bases. Because the bases of subs...

Abnormal uterine bleeding is any bleeding from the uterus other than normal monthly period. Having extremely heavy bleeding during period can also be considered abnormal uterine bleeding. Dysfunctional uterine bleeding (DUB) is heavy or irregular menstrual bleeding that is not caused by an underlying anatomical abnormality, such as a fibroid, lesion, or tumor. DUB is the most common type of abn...

commutative properties of four-dimensional generalized symmetric pseudo-riemannian manifolds were considered. specially, in this paper, we studied skew-tsankov and jacobi-tsankov conditions in 4-dimensional pseudo-riemannian generalized symmetric manifolds.

in this paper, we show that in each nite dimensional hilbert space, a frame of subspaces is an ultra bessel sequence of subspaces. we also show that every frame of subspaces in a nite dimensional hilbert space has frameness bound.

Introduced in 1977, transesophageal echocardiography (TEE) offered imaging through a new acoustic window sitting directly behind the heart, allowing improved evaluation of many cardiac conditions. Shortly thereafter, TEE was applied to the intraoperative environment, as investigators quickly recognized that continuous cardiac evaluation and monitoring during surgery, particularly cardiac operat...

The role of imaging in female infertility has undergone a revolution over the past few decades .Sonography plays an integral role in the evaluation of gynecologic disease. It can determine the organ or site of abnormality and provide a diagnosis or short differential in the vast majority of patients. Both the transabdominal and transvaginal approaches are now well –established techniques for as...

Classic cor triatriatum is rarely found in adults. Preoperative assessment of classic cor triatriatum in a 22 year old man without symptoms by three dimensional echocardiography was more informative than transoesophageal echocardiography or magnetic resonance imaging, which both showed only a small hole in the membrane separating the accessory atrium from the true left atrium. The size of the h...

Three-dimensional (3D) printing technology allows for the translation of a 2-dimensional medical imaging study into a physical replica of a patient’s individual anatomy. 3D printed models can facilitate a deeper understanding of complex patient anatomy and can aid in presurgical decision-making. Although there are 3D printing case reports in almost every subspecialty of medicine to date, the ra...

background: the second processing cycle for adding the artificial teeth to heat-polymerized acrylic resin denture bases may result in dimensional changes of the denture bases. the aim of thisstudy was to evaluate the dimensional changes of the heat-polymerized acrylic resin denture bases with one and two-cycle processing methods. materials and methods: a metal edentulous maxillary arch was used...