It is shown that there is a sense in splitting Genetic Code Table (GCT) into three parts using the harmonic mean, calculated by the formula H (a, b) = 2ab / (a + b), where a = 63 and b = 31.5. Within these three parts, the amino acids (AAs) are positioned on the basis of the validity of the evident regularities of key parameters, such as polarity, hydrophobicity and enzyme-mediated amino acid c...

We present a novel geometric model for robot mapping based on shape. Shape similarity measure and matching techniques originating from computer vision are specially redesigned for matching range scans. The fundamental geometric representation is a structural one, polygonal lines are ordered according to the cyclic order of visibility. This approach is an improvement of the underlying geometric ...

This paper considers the design of the cylindric PRS serial chain. This five degree-of-freedom robot can be designed to reach an arbitrary set of eight spatial positions. However, it is often convenient to choose some of the design parameters and specify a task with fewer positions. For this reason, we study the three through eight position synthesis problems and consider various choices of des...

Closed string tachyon condensation resolves the singularities of nonsupersymmetric orbifolds, however the resolved space typically has fewer D-brane charges than that of the orbifold. The description of the tachyon condensation process via a gauged linear sigma model enables one to track the topology as one passes from the sigma model’s “orbifold phase” to its resolved, “geometric phase,” and t...

This paper presents a self-training tool for learning 3D geometric transformations, i.e. translation, scaling and rotation. Our aim is to provide students with a tool they can use to practise these transformations by themselves so that they can understand and learn how to use them. Its main feature is to show an animation of the geometrical transformation applied on a geometric primitive. This ...

Kinematic position analysis is the first step in creating a complete mathematical model of the new manipulator architecture. This analysis will begin by developing a general descriptive model that characterizes the kinematic geometry of the device. From this geometric model, a mathematical function relating the input-to-output position parameters will be formed. The goal of this function is to ...

New physical effects in the dynamics of an ion confined in an anisotropic two-dimensional Paul trap are reported. The link between the occurrence of such manifestations and the accumulation of geometric phase stemming from the intrinsic or controlled lack of symmetry in the trap is brought to light. The possibility of observing in laboratory these anisotropy-based phenomena is briefly discussed.

We give an example of an imaginary defined in certain valued fields with analytic structure which cannot be coded in the ‘geometric’ sorts which suffice to code all imaginaries in the corresponding algebraic setting.

We present a new approach to the distributed visualization of geometric algorithms that emphasizes the position of the end user. Concepts are introduced that enable a more ex-ible usage of visualized geometric algorithms, while keeping the task of adapting existing algorithms to the new scheme as simple as possible. A main proposition is that interactivity should not be built into the visualize...

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