We consider an electromagnetic process in a body at rest respect to an inertial reference $R'(0' \ x^1' \ x^2' \ x^3' \ t')$ and in translatory straight uniform motion respect to an abservation reference $R(0 \ x^1 \ x^2 \ x^3 \ t)$ whose spatial basis is conventionally fixed. As it is well known in $R'$ the process is driven by Maxwell equations, instead in $R$ the Minkowski equations held.

We show that, combining Maxwellian energetic equation, written in $R'$, with the einstenian relativity principle, expressed in the general Lorentz transformation, the energy and electromagnetic impulse equations associated to the Minkowski equations are derived in the observation reference $R$.

Dans cet article, on étudie le problème des chaines d'idéaux premiers dans les anneaux de la classe $C'$ définie comme suit: un anneau $A$ appartient à la classe $C'$ si et seulement si $A$ est noethérien et possède les propriétés suivantes:

(i) Pour tout idéal maximal $m$ de $A$, les fibres formelles de l'anneau local $A_m$ vérifient $(S_1)$.

(ii) Pour tout idéal maximal $m$ de $A$, les fibres formelles de l'anneau local $A_m$ aux points maximaux de Spec$(A_m)$ sont ponctuellement équidimensionnelles.

The shift of the visible charge-transfer absorption bands of $Fe(phen)_2(CN)_2$ in various solvents that results from interaction of solvent molecules or of cationic species with the free electron pair on the -CN group(s) has been investigated and the results have been used to estabilish Acceptor Numbers $(AN_{M,NM})$ for cations, $M^n^+$, dissolved in various solvents of low donicity. Nitromethane (NM) has been used as a reference solvent because it is both a very weak donor and a relatively weak acceptor solvent. (The solvent must exhibit $some$ donor and acceptor properties in order to ensure solubility of the cationic species and the $Fe(phen)_2(CN)_2$ indicator). Apparent Acceptor Numbers $(AN_{M,solv})$ for cations dissolved in various solvents other than nitromethane are also given and used to show that the acceptor properties of cations vary in a way directly related to the Donor Number of the solvent (i.e. a decrease in the effective Acceptor Number of the cations is observed with increasing $DN_S_o_l_v$. This arises from competition between solvent and acceptor ion fot the $Fe(phen)_2(CN)_2$ used as the Lewis-acid indicator). The results are compared with the spectral shift of the analogous complex $Ru(phen)_2(CN)_2$. The relationship between the proposed AN scale for cations and other practical and theoretical measurements of the Lewis acidity of cations is discussed.

It is presented reasonings that the known methods of the nuclear chronometry of the astrophysical and cosmological process have to be revised and corrected, taking into account distinctions between lifetimes of the ground and excited states for radioactive nuclei and also the multiple alternations of the $\gamma-emission$ from excited states and consequent $\gamma-absorptions$ by ground states in large lumps of matter. As a result, the corrected "nuclear clocks" will indicate to smaller values of the durations of real decay processes

By considering a difference of pressure between the regions where the frontal and dorsal parts of the Shroud shading image lie during their formation, a strident contradiction is shown: the image intensity distribution is incompatible with the presence of a human body that is ideed necessary to explain the differences in the cloth-body distances between the two above regions.

In this work we argue of the characteristics of the blood and body images to detect the involved formation mechanism. The one of the bloodstains formation is of contact. For the body image formation occours the assembling of at least two mechanisms: one of contact and the other that acts at a distance to explain the high resolution and the distance correlation characteristics, respectively.

Le multiwavelets costituiscono un contesto più generale nell'ambito della teoria delle wavelets. In questo lavoro viene presentata un'estensione al caso bidimensionale dell'algoritmo di trasformata multiwavelet con un'applicazione al problema della compressione di immagini. Tra le possibili basi di multiwavelets, sono prese in considerazione quelle di Geronimo-Hardin Massopust e di Chui-Lian, ciascuna con il prefiltro più adatto. Viene descritto un algoritmo di codifica, realizzato tenendo conto dei vantaggi ottenuti con la decomposizione multiwavelet. Esso è basato su una quantizzazione ad approssimazioni successive dei coefficienti di decomposizione, effettuata con l'ausilio di una strategia nel percorrimento dell'immagine che permette di ottenere codifiche basate sull'entropia ottimizzate. L'efficacia dell'intero algoritmo di compressione viene messa in evidenza da una sperimentazione effettuata su diverse immagini test e dal confronto dei risultati con quelli ottenuti con un algoritmo analogo basato su wavelets scalari, con l'utilizzo della base di Daubechies con ordine di approssimazione uguale a quello delle basi multiwavelet considerate.

In this work we present some results and applications concernig the recent theory of modulated wavelet tight frames. In paticulary we give a parameterization of even-lenght multiplicty M Cosine-modulated wavelet tight frames, where both the wavelets and the multiresolution analysis are uniquely determined by scaling function $\psi_0(t)[6,7]$. We make this using the recently developed theory of even-lenght Cosine-modulated filter banks. In this work, an application of the modulated wavelet algorithm to signal compression is shown, and this case some valutationobjective valuatin of the efficiency of this new classes of wavelet function are given, in this kind of problem.

The theory of plastic flow may be integrated into the framework of non-equilibrium thermodynamics. Even classical non-equlibrium thermodynamic is suitable to give account on plastic flow but is not flexible enough to describe details quantitatively. The method based on ontroducing dynamic (internal) variables enables thermodynamics to give account on dynamic (or dissipative) structures on an over all way. The most frequently applied classical theories of plasticity have room in this generalized theory.

We apply to the class of spherically symmetric space-times a new formula for the energy of the gravitational field expressed in tetrad formalism. We show taht this allows less restrictive asymptotic conditions.

For a topological space $X$ we denote by $CL(X)$ the collection of all non-empty closed subsets of $X$. Suppose we have a map $J$ which assigns in some coherent way to every topological space $X$ some topology $J \ (X)$ on $CL(X)$. In this paper we study continuity and inverse continuity of the map $i_{A,X}:(CL(A),J(A))\rightarrow \(CL(X),J(X))$ defined by $i_{A,X}(F)=\bar F\ $ whenever $F \in \ CL(A)$ for various assignment $J$; in particular, for locally finite topology, upper Kuratowski topology, or Attouch-Wets topology, etc.

We estabilish an exactness theorem involving the module of differentials of Kahlerian regular $k$-algebras when $k$ is a prfect field of positive characteristic.

Poset geometries are characterized as convex geometries verifying a given property. These geometries are basic structures in combinatorial convexity, because any convex geometry can be generated from them. In this note, we will give a necessary and sufficient condition on the closure operator which leads us to a new characterization of poset geometry.

Various routes to the understanding of the propagation of phase-transition fronts in crystalline substances are examined in the light of recent works. These include lattice dynamics, mesoscopic considerations, and the fully macroscopic thermomechanical approach on the material manifold that combines an engineering interest with an invariance-theoretical viewpoint. Numerical approaches (FDM, FEM, FVM, continuous-cellular automata) corresponding to these different levels of apprehending a single phenomenon are also discussed.

Analytical review of developments in researching $time$ as a quantum-physical observable, which is canonically conjugated to energy, is presented. A special attention is devoted to the duality of energy and time operators and also to the verification of time-energy uncertainty relations for continuous and discrete energy spectra.

The primary purpose of this paper is to study the general problem of approximating holomorphic objects of any type by their algebraic counterparts. We obtain a set of criteria, called the Oka-Weil criteria (in short, OW), which characterize tha approximations of certain holomorphic maps and vector bundles by regular maps and algebraic vector bundles respectively on affine complex algebraic varieties

If $A$ is a regular ring containing a field k, char$(k)=0$, and $D_k(A)$ is the universal prefinite module of differentials of $A$ over $k$, under the hypothesis that $D_k(A)$, its dual $D_k(A)*$ and their quotients are of prefinite presentation, we prove that $A$ satisfies the strong Jacobian condition (SJ).

The mass of wave records taken off the beach at Reggio Calabria enables us to verify a few recent theories on the wind generated waves. In particular, in line with the quasi-determinism theory, we find that the highest waves of each sea state exhibit a well defined period which is related to the autocovariance function. Also the recent concept of indeterminacy of the continuos spectrum is confirmed. The effects of this indeterminacy prove to be more relevant when the line spectrum has two peaks nearly equivalent to each other.

In this paper, two properties are shown to be valid for the derivatives of random functions:

1° Let $X(t,w)$ and $Y(t,w)$ be two random functions, defined in an interval I, which are mean derivables of order $p$ in the point $t_0 \in \ I$, then:

The sum $X(t,w) + Y(t,w)$ is mean derivable of order $p$ in the point $t_0$ and we have:

$(X+Y)'(t_0,w)=X'(t_0,w)+Y'(t_0,w)$.

2° Let $X(t,w)$ and $Y(t,w)$ be two indipendent random functions, defined in an interval I, which are mean derivables of order $p$ in the point $t_0 \in \ I$, then:

The product $X(t,w)\cdot \ Y(t,w)$ is mean derivable of order $p$ in the point $t_0$ and we have:

$(X \cdot \ Y)'(t_0,w)=X'(t_0,w) \cdot \ Y'(t_0,w)$.

In a preceding paper we have shown two theorems on mean square derivatives of the random functions. In this paper we prove two theorems concerning the mean derivatives of order $p$ of the random functions.

The authors examined galena in mineralizations from the Utra and Tripi (Alì), Rosario di Cancillo and Due Fiumare (Fiumedinisi), Carruggio Lummia (Molino di Giampilieri). By means of an IR Spectroscopy study we have determined microinclusions of undefinable minerals, due to their small quantity, using reflection microscopy or other commonly used techniques. At a low frequency wavenumber $(cm^-^1)$ 200-600 quartz, calcite, ferrous oxide and hausmannite are normally found to be present.

In the 500-4000 range, we observe peaks relative to quartz, calcite, barium carbonate, manganese dioxide, ferrous oxide, silver compounds, sphalerite, pyrite, chalcopyrite and antimonite. The obtained results are compared with data found bt Atomic Absorption.