We study side-lengths of triangles in path metric spaces. We prove that unless such a space X is bounded, or quasi-isometric to R+ or to R , every triple of real numbers satisfying the strict triangle inequalities, is realized by the side-lengths of a triangle in X . We construct an example of a complete path metric space quasi-isometric to R2 for which every degenerate triangle has one side wh...

Cortistatin (CST) is a neuropeptide, which binds with high affinity all somatostatin (SS) receptor subtypes and shows high structural homology with SS itself. A receptor specific for CST only, i.e., not recognized by SS, has been recently described in agreement with data reporting that not all CST actions are shared by SS. Interestingly, CST but not SS also binds ghrelin receptor (GHS-R1a) in v...

Development of skilled movements and the corticospinal tract (CST) begin prenatally and continue postnatally. Because the CST is required for skilled movements in maturity, it is accepted that motor skills cannot occur until the CST develops a mature organization. We recently showed that the CST plays an essential role in postnatal development of interneurons comprising the spinal circuits it e...

This paper proves several theorems involving how special points of a triangle trace circles as one of the vertices of the triangle is moved around the circumcircle. We investigate the larger issue of why this happens using constant distance ratios, and finally, we prove some theorems about strophoids and use a “lighthouse” construction to show that another special point of a triangle traces a s...

the consolidation test method proposed by terzaghi and used in most soil mechanic laboratories has limitations and weaknesses. to get correct results, improvement and modification of the test method is essential. several experimental methods, such as constant loading rate, gradient and constant rate of strain (crs) have been used over the past 40 years. of these methods, crs is more advantageou...

Introduction: The component separation technique (CST) was introduced to abdominal wall reconstruction to treat large, complex hernias. It is very difficult to compare the published findings because of the vast number of technical modifications to CST as well as the heterogeneity of the patient population operated on with this technique. Material and Methods: The main focus of the literature se...

This work investigates fracture characteristics of a marble semi-circular bend (SCB) specimen with pre-defined crack under compressive loading condition. It aims at evaluating how the toughness can be affected by and span length variation. Numerically, model is solved using meshless methods, extended to linear elastic mechanics (LEFM), resorting radial point interpolation method (RPIM) its natu...

In a Steiner triple system of order v, STS(v), a set of three lines intersecting pairwise in three distinct points is called a triangle. A set of lines containing no triangle is called triangle-free. The minimum number of triangle-free sets required to partition the lines of a Steiner triple system S, is called the triangle chromatic index of S. We prove that for all admissible v, there exists ...

Bainitic steel containing approx. 2.25% Cr and 0.6 Mo with micro-additions of V, Ti, B, designated as 7CrMoVTiB10-10 (T/P24), is one the new construction materials used in supercritical power units. The weldability defined hot-cracking susceptibility, it should be stated that hot cracking welded joints 7CrMoVTi10-10 determined by phenomena occurring high-temperature brittleness range (HTBR). In...

Background In aortic stenosis(AS) with normal left ventricular ejection fraction(LV EF), circumferential and longitudinal systolic strains(CSt, LSt) are reduced but the underlying mechanisms are uncertain. Conventional indices of afterload(A) per unit of myocardium are suboptimal for strain analysis and based on inaccurate assumptions about myocardial properties, while conventional contractilit...