The SINE WAVE ORCHESTRA (SWO) is a collaborative sound performance project that has been actively performing for the past several years. The basic idea is that each participant plays a sine wave, and by changing its frequency and volume, creates a collection of sine waves as a collective sound representation. Although all SWO works use the same sound representation (i.e., sine waves), different...

In this paper we describe an efficient CORDIC algorithm that completely eliminates the scaling factor. Besides we have proposed an algorithm to redefine the elementary angles for reducing the number of CORDIC iterations. The Coordinate Rotational Digital Computer (CORDIC) algorithm is another classic approach for sine wave generation. The particular architecture hereby presented generates the p...

In this paper, it is shown that D. Shelupsky’s generalized sine function, and various general sine functions developed by P. Drábek, R. Manásevich and M. Ôtani, P. Lindqvist, including the generalized Jacobi elliptic sine function of S. Takeuchi can be defined by systems of first order nonlinear ordinary differential equations with initial conditions. The structure of the system of differential...

Highly repeated copies of short interspersed elements (SINEs) occur in eukaryotic genomes. The distribution of each SINE family is usually restricted to some genera, families, or orders. SINEs have an RNA polymerase III internal promoter, which is composed of boxes A and B. Here we propose a method for isolation of novel SINE families based on genomic DNA PCR with oligonucleotide identical to b...

Analog-to-digital converters are commonly tested by applying a pure sine wave to their inputs. Since the exact parameters of the sine wave are very difficult to precisely obtain, an indirect method is used: the measured samples are used to determine the sine wave which best fits them. The ADC is characterized then by analysis of the differences between the samples and the sine wave. This is des...

Local cosine/sine basis is a localized version of co-sine/sine basis with a smooth window function. It has orthogonality and good time and frequency localization properties. Adaptive local cosine/sine basis is a best-basis based on a cost-functional obtained from an overabundant library of cosine/sine packets. In this paper, we apply the 2-D semi-adaptive (time-adaptive or space-adaptive) local...

Mislocalization of proteins is a common feature of cancer cells. Since localization of proteins is tightly linked to its function, cancer cells can inactivate function of a tumor suppressor protein through mislocalization. The nuclear exportin CRM1/XPO 1 is upregulated in many cancers. Targeting XPO 1 can lead to nuclear retention of cargo proteins such as p53, Foxo, and BRCA1 leading to cell c...

An approximate method for describing the evolution of solitonlike initial conditions to solitons for the sine-Gordon equation is developed. This method is based on using a solitonlike pulse with variable parameters in an averaged Lagrangian for the sine-Gordon equation. This averaged Lagrangian is then used to determine ordinary differential equations governing the evolution of the pulse parame...

Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon equation has already been proposed by previous studies, but the equation and the solutions obtained...

The Fresnel sine integral S(x), the Fresnel cosine integral C(x), and the associated functions S + (x), S − (x), C + (x), and C − (x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel sine integral and its associated functions with x r + , x r are evaluated. 1. Introduction. The Fresnel integrals occur in the diffraction theory...