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Odontoameloblastoma with extensive chondroid matrix deposition in a guinea pig
Odontoameloblastomas (previously incorporated within ameloblastic odontomas) are matrix-producing odontogenic mixed tumors and are closely related in histologic appearance to the 2 other types of matrix-producing odontogenic mixed tumors: odontomas and ameloblastic fibro-odontomas. The presence or absence of intralesional, induced non-neoplastic tissue must be accounted for in the diagnosis. Herein we describe a naturally occurring odontoameloblastoma with extensive chondroid cementum deposition in a guinea pig (Cavia porcellus). Microscopically, the mass featured palisading neoplastic odontogenic epithelium closely apposed to ribbons and rings of a pink dental matrix (dentinoid), alongside extensive sheets and aggregates of chondroid cementum. The final diagnosis was an odontoameloblastoma given the abundance of odontogenic epithelium in association with dentinoid but a paucity of pulp ectomesenchyme. Chondroid cementum is an expected anatomical feature of cavies, and its presence within the odontoameloblastoma was interpreted as a response of the ectomesenchyme of the dental follicle to the described neoplasm. Our case illustrates the inductive capabilities of odontoameloblastomas while highlighting species-specific anatomy that has resulted in a histologic appearance unique to cavies and provides imaging and histologic data to aid diagnosis of these challenging lesions
Review of finite fields: Applications to discrete Fourier, transforms and Reed-Solomon coding
An attempt is made to provide a step-by-step approach to the subject of finite fields. Rigorous proofs and highly theoretical materials are avoided. The simple concepts of groups, rings, and fields are discussed and developed more or less heuristically. Examples are used liberally to illustrate the meaning of definitions and theories. Applications include discrete Fourier transforms and Reed-Solomon coding
Klein-Gordon Equation in Hydrodynamical Form
We follow and modify the Feshbach-Villars formalism by separating the
Klein-Gordon equation into two coupled time-dependent Schroedinger equations
for particle and antiparticle wave function components with positive
probability densities. We find that the equation of motion for the probability
densities is in the form of relativistic hydrodynamics where various forces
have their classical counterparts, with the additional element of the quantum
stress tensor that depends on the derivatives of the amplitude of the wave
function. We derive the equation of motion for the Wigner function and we find
that its approximate classical weak-field limit coincides with the equation of
motion for the distribution function in the collisionless kinetic theory.Comment: 13 page
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