The frequency-dependent complex moduli of human uterine tissue have been characterized. Quantification of the modulus is required for developing uterine ultrasound elastography as a viable imaging modality for diagnosing and monitoring causes for abnormal uterine bleeding and enlargement, as well assessing the integrity of uterine and cervical tissue. The complex modulus was measured in samples...

This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and t...

KEY WORDS, SUBJECT CLASSIFICATION The manuscript must be accompanied by a brief abstract, no longer than 100-150 words. It should make minimal use of mathematical symbols and displayed formulas. Mathematics Subject Classification (2000) with primary (and secondary) subject classification codes and a list of 4-5 key words must be given.

The picture of CP-violation in orbifold compactifications in which the T-modulus is at a complex fixed point of the modular group is studied. CP-violation in the neutral kaon system and in the neutron electric dipole moment are both discussed. The situation where the T-modulus takes complex values on the unit circle which are not at a fixed point is also discussed.

In industrial products, vibration and the noise it creates is often a major parameter to be taken into account. It is therefore usually very important to measure the material properties i.e. stiffness and damping, that determine how vibrations are generated, transmitted and damped. This application note describes a method developed by Mr. Fuglsang Nielsen which will allow the standard non-reson...

The aim of the present study was to determine if endothelial function could influence the complex elastic modulus of the arterial wall. Seven ovine brachiocephalic arteries were studied in-vitro, under pulsatile flow conditions. Complex Viscoelastic Modulus (E’) and Phase Angle of E’ (φ) were calculated before and after de-endothelization (DE) in three frequency (f) levels within the physiologi...

This paper considers three algorithms for the extraction of square roots of complex integers {called Gaussians} using arithmetic based on complex modulus p + iq. These algorithms are almost twice as fast as the analogous algorithms extracting square roots of either real or complex integers in arithmetic based on modulus p, where p is a real prime. A cryptographic system based on these algorithm...

The moduli used in RSA (see [5]) can be generated by many different sources. The generator of that modulus knows its factorization. They have the ability to forge signatures or break any system based on this moduli. If a moduli and the RSA parameters associated with it were generated by a reputable source, the system would have higher value than if the parameters were generated by an unknown en...