Let Gk, n be the Grassmann manifold of k-planes in Rn+k. The Lusternik-Schnirelmann category and topological complexity are important invariants of topological spaces. In this note we calculate the Lusternik-Schnirelmann category and topological complexity of cer-tain products of Grassmannian manifolds by using cup and zero-cup length. Also we will , nd the lower and upper bounds of the topological complexity of some Grassmannian manifolds by the same method.

In this research, several different types of geometries have been compared to prevent the influence of an explosion wave on the glasses of the APCs. This was done using validation and then using LS-DYNA software. Pre and post-processing was done in LS-PrePost software. So, a mathematical function in this software was used to generate the pressure of the wave on the structure. In order to compare, the displacement parameter was used and the minimum total displacement of the structure as a criterion for optimal performance was considered. Also, two types of cosine curves, two types of polynomial curves (third and fourth order) and a flat blade are investigated. The results showed that for the use of a 150*100 mm2 square flat blade (which is half simulated according to the model's symmetry), the explosion of a wave coming from a distance of 75 mm on the adjacent sheet requires a sheet with a thickness of 11 mm. Using a curved blade, this thickness is reduced to 3 mm. According to the recent issue, the use of curved blades will lead to a sharp decrease in the weight of armored equipment.

Introduction: In Vietnam, the prevalence of hypertension is increasing rapidly. Patients need to be conscious of the disease for timely prevention and treatment. The Hypertension Knowledge Level Scale (HK-LS) is commonly used to assess knowledge about hypertension. Methods: Data collection was took place in a hospital in Binh Thuan province, Vietnam in February 2020 with a total of 184 paticipants. Translation and adaptation of the HK-LS, validate the questionnaire through in-person interviews with outpatients diagnosed with hypertension. The translation process followed WHO guidelines. The appraisal process evaluates through reliability (Cronbach’s alpha coefficient) and validity (meaningful relationship between the response results of the scale and the patient’s characteristics). Results: The Vietnamese version of the HK-LS was translated and proven to be reliable (Cronbach’s alpha=0. 72) and valid (statistically significant difference between age groups (P=0. 021) and educational background (P=0. 007). Conclusion: The HK-LS was translated from English into Vietnamese,the questions are clear, intelligible, and suitable for surveying patients in Vietnam.