In this paper we study in details the properties of the duality product of multivectors and multiforms (used in the definition of the hyperbolic Clifford algebra of multivefors) and introduce the theory of the k multivector and l multiform variables multivector (or multiform) extensors over V (defining the spaces ext l k (V ) and ∗ ext l k (V )) studying their properties with considerable detail.

Machine generated speech can be produced in different ways however there are two basic methods for synthesizing speech in widespread use. One method generates speech from models, while the other method concatenates pre-stored speech segments. This paper presents a speech synthesis technique where these two basic synthesis methods are combined in a statistical framework. Synthetic speech is cons...

Consistent pixel sizes are of fundamental importance for assessing texture features that relate intensity and spatial information in radiomics studies. To correct for the effects of variable pixel sizes, we combined image resampling with Butterworth filtering in the frequency domain and tested the correction on computed tomography (CT) scans of lung cancer patients reconstructed 5 times with pi...

Imaging plays an important role in the diagnosis and staging of cancer, as well as in radiation treatment planning and evaluation of therapeutic response. Recently, there has been significant interest in extracting quantitative information from clinical standard-of-care images, i.e. radiomics, in order to provide a more comprehensive characterization of image phenotypes of the tumor. A number o...

Abstract PURPOSE There is evidence that molecular heterogeneity of glioblastoma associated with MR imaging signatures. Modern machine learning models, such as deep neural networks, provide a tool for capturing complex relationships in high-dimensional datasets. This study leverages recent advances visualizing networks to construct radiogenomics coordinate system whose axes reflect the expressio...

A 41 year old woman had multiform ventricular tachycardia without QT prolongation. Monophasic action potentials were recorded from the right ventricle during the attacks of multiform ventricular tachycardia and effective refractory periods were examined at the same sites. There was no abnormal hump to suggest early afterdepolarisation in the monophasic action potentials, but there was dispersio...

BACKGROUND Glioblastoma multiform (GBM) is a highly aggressive tumor with median survival of approximately 14 months. Management consists of maximal surgical resection followed by post-operative chemoradiation with concurrent then adjuvant temozolamide. The standard radiotherapy dose is 60 Gy in 2-Gy fractions recommended by the radiation therapy oncology group (RTOG). With the vast majority of...