Recall, from Theorem 8.1-2 on page 490 in [4], that a random process X(t) with autocorrelation function RXX(t1, t2) has a m.s. derivative at time t if ∂RXX(t1, t2)/∂t1∂t2 exists at t1 = t2 = t. Furthermore, we recall that the correlation function RXX(t1, t2) is related to the covariance function KXX(t1, t2) as follows. RXX(t1, t2) = KXX(t1, t2) + μX(t1)μX(t2) (1) For this problem we have a cons...

background access to appropriate images of fetal brain can greatly assist to diagnose of probable abnormalities. the aim of this study was to compare the suitability of t2-true fast imaging with steady state free precession (t2-trufi), and t2-half-fourier acquisition single-shot turbo spin-echo (t2- haste( magnetic resonance imaging (mri) to extract the fetal brain using the level set algorithm...

measurement of oxygenation is of great interest, because tumor oxygenation is an indicator of aggressiveness and affinity to metastazation [1]. Moreover, the chance of success of a radiation therapy or chemo therapy depends on the oxygen partial pressure of the tumorous tissue [2]. That is the reason why hypoxia is a large obstacle to tumor therapy [3]. In this study, a model of static dephasin...