the problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. the former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. nevertheless, now we can obtain the location of eigenvalues ...

Non-alcoholic fatty liver disease (NAFLD) is emerging as the most common liver disease in industrialized countries. The discovery of food components that would ameliorate NAFLD is therefore of interest. Lotus root, the edible rhizome of Nelumbo nucifera, contains a high level of polyphenolic compounds, and several health-promoting properties of lotus root have been reported. The present study e...

We investigate the following problem: design a distributed control law making n kinematic unicycles converge to a common circle of prespecified radius, whose centre is stationary but dependent on the initial conditions, and traverse the circle in a desired direction. Moreover, the vehicles are required to converge to a formation on the circle, expressed by desired separations and ordering of th...

We consider the following problem, called Relative Minimal Elimination Ordering.

The key step in the construction of the Delaunay triangulation of a finite set of planar points is to establish correctly whether a given point of this set is inside or outside the circle determined by any other three points. We address the problem of formulating the in-circle test when the coordinates of the planar points are given only up to a given precision, which is usually the case in pra...

This paper presents a novel key estimation method of sound sources based on the music theory known as "circle of fifths". We firstly overview music theory and formulate the musical key analysis by vector operations. In detail, we separate music sources into small pieces and calculate FFT-based chroma vectors. They are converted to tonality vectors and COF (circle-of-fifth) vectors are calculate...

This paper describes a hardware oriented algorithm and its conceptual implementation for real-time traffic signs detection system on automotive oriented FPGA. The speed limit sign area on a grayscale video frame is detected through a two-stage simple computation process. Rectangle Pattern Matching roughly detects global luminosity sharing feature between rectangle and circle for Region of Inter...

A new algorithm was advanced in this paper to do the auto-layout of the network topology. All the vertexes and edges of a graph are assigned some geometrical properties such as degrees, outerdegrees, coordinate and consistency. Thus, these vertexes will be arranged around the centre of a circle and from the inner circle to the outer circle forming a series of concentric circles. This kind of ar...