In nature, our biological world consists of many species of biological contents such as DNA, RNA, and proteins, etc. We frequently ask a question: “Which is first, egg or chicken?” In the evolution of life, we also encounter a similar question: “Which is first, RNA, DNA, or protein?” or “How do they co-evolute?” In such biological systems, a theory of co-evolution of biopolymers is necessary. H...

For every Banach space (Y, ‖ · ‖Y ) that admits an equivalent uniformly convex norm we prove that there exists c = c(Y ) ∈ (0,∞) with the following property. Suppose that n ∈ N and that X is an n-dimensional normed space with unit ball BX . Then for every 1-Lipschitz function f : BX → Y and for every ε ∈ (0, 1/2] there exists a radius r > exp(−1/ε), a point x ∈ BX with x + rBX ⊆ BX , and an aff...

Background: Transcatheter aortic valve implantation (TAVI) is an effective and safe procedure for severe stenosis. Increased root angulation important anatomical feature that may cause technical difficulties negatively affect immediate long-term outcomes.Objective: To evaluate outcomes of TAVI in patients with increased angulation.Methods: Our retrospective single-center study included 412 sten...

Today’s educational systems deal with several elements of complexity resulting from the rapid transformations contemporary society. Employability and professional skills have evolved considerably since beginning 21st century, an emphasis on creativity, design, engineering processes. Teachers are therefore required to redesign teaching learning pathways, emphasizing flexible microlearning-orient...

Geometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture. We report on our work in this area, dealing with meshes with planar faces and meshes which allow multilayer constructions (which is related to discrete surfaces and their curvatures),...

Manufacturing supply chain planning is a key factor of manufacturing supply chain management. Assignment of the production tasks, inventory control and transportation between the plants or the enterprises needs to be considered in manufacturing supply chain planning. Extended state task network (ESTN) is proposed in order to abstractly describe the production tasks with complex product producti...

The ball milling technique has been successfully applied to the synthesis of various materials such as equilibrium intermetallic phases, amorphous compounds, nanocrystalline materials, or metastable crystalline phases. However, how the phase composition and nanoscale microstructure evolute during ball milling in various materials is still controversial due to the complex mechanism of ball milli...