Characterization of disk media

It has been shown that the scalar properties of recording media can be characterized by a moving model that includes reversible and irreversible magnetizing processes. A test of this model for various media is reported in this paper. It is found that the model is capable of calculating accurate major and minor loops.     

On the harmonic averages of numerical sequences

In recent years, the almost sure central limit theorem attracted widespread attention in Probability Theory. It involves the harmonic (also called logarithmic) averages of a certain numerical sequence formed from a sequence of independent, identically distributed random variables. Our primary aim is to study the convergence behavior of the sequence of harmonic averages of a given numerical sequence from the viewpoint of Summability Theory. Received: 12 May 2005; revised: 1 July 2005     

Herz spaces and summability of Fourier transforms

A general summability method is considered for functions from Herz spaces K^α_p,r (?^d ). The boundedness of the Hardy–Littlewood maximal operator on Herz spaces is proved in some critical cases. This implies that the maximal operator of the θ ‐means σ^θ _T f is also bounded on the corresponding Herz spaces and σ^θ _T f → f a.e. for all f ∈ K^{–d /p} _p,∞ (?^d ). Moreover, σ^θ _T f (x) converges to f (x) at each p ‐Lebesgue point of f ∈ K^{–d /p} _p,∞ (?^d ) if and only if the Fourier transform of θ is in the Herz space K^{d /p} _{p ′,1} (?^d ). Norm convergence of the θ ‐means is also investigated in Herz spaces. As special cases some results are obtained for weighted L_p spaces. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Anwendung des Ringofens in der Tüpfelkolorimetrie

Zusammenfassung Die bereits früher beschriebene Ringofenmethode wurde zu tüpfelkolorimetrischen Analysen verwendet. Mehrere Ringe mit verschiedener Zahl von Probetropfen wurden hergestellt und mit Standardringen verglichen. Es ist nicht nötig, genau zu schätzen. Eine annähernde Zuordnung der Proberinge zu den Standardringen reicht aus, um brauchbare Resultate zu erhalten. Als Beispiele wurden beschrieben: Die Bestimmung des Eisens mit Kaliumferrocyanid, des Nickels mit Dimethylglyoxim, des Kobalts mit-Nitroso--Naphthol, des Kupfers mit Schwefelwasserstoffwasser und Umwandlung des Kupfersulfids in eine äquivalente Menge Silbersulfid. — Die Abtrennnng störender Ionen kann in den meisten Fällen auf dem Papier selbst erfolgen.

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Summary The ring furnace method already described was employed for spot colorimetric analyses. Several rings with different numbers of sample drops were prepared and compared with standard rings. An exact estimate is not necessary. An approximate coordination of the test rings to the standard rings is adequate for obtaining usable results. Examples described include determination of: iron with potassium ferrocyanide, nickel with dimethylglyoxime, cobalt with-nitroso-naphtol, copper with hydrogen sulfide water and conversion of the copper sulfide into its equivalent of silver sulfide. In most cases, the removal of interfering ions can be accomplished on the paper itself.

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Résumé On utilise pour des analyses colorimétriques à la goutte, la méthode du four annulaire déjà décrit. On a obtenu plusieurs anneaux avec des gouttes d'essai différentes et on les compare à des anneaux étalons. Il n'est pas nécessaire d'opérer d'une façon précise. Une comparaison approchée des anneaux de la substance et de l'étalon suffit pour obtenir des résultats utilisables. Comme exemples, on décrit: le dosage du fer avec le ferrocyanure de potassium, du nickel avec la diméthylglyoxime, du cobalt avec l'-nitroso-naphtol, du cuivre avec la solution d'hydrogène sulfuré et la transformation du sulfure de cuivre en la quantité équivalente de sulfure d'argent. La séparation des ions gênants peut, dans la plupart des cas, s'effectuer sur le papier lui-même.

     

Angular distributions in the dimuon hadronic production at 150 GeV/c

From π^- interactions at 150 GeV/c on a heavy target, we present the final analysis of the dimuon decay angular distribution in the mass interval 4.5–8.5 GeV/c². Results are presented and discussed in various reference frames and are also given in terms of the density matrix elements. Finally the possible contribution of higher-twist effects at largex ₁ is discussed; we find that our data are not compatible with higher twist contributions as proposed by the Berger and Brodsky Model.     

On the connection between the Λ-parameters of euclidean lattice and continuum QCD

The origin of the discrepancy between recent calculations of the connection between the Λ-parameters of lattice and continuum pure gauge theory is explained. The calculation is extended to include fermions.     

A new combination of the ring oven method with chromatography - the rotating ring oven

Chromatographic techniques have been used in combination with the ring oven method in various ways. The use of a rotating ring oven in combination with column chromatography is proposed. Separations are done on a chromatographic column fixed vertically above the rotating ring oven. Thus the various substances leaving the column are concentrated successively in sharply outlined distinct segments. The apparatus is described in detail. Its use is illustrated by the example of the separation of four amino acids (0.3 μg each).Other applications (dyes, gel chromatography on Sephadex) are mentioned briefly.     

Multiobjective management of mining under water hazard by game theory

The management of an aquifer is studied under the assumption that the solution of the multiobjective programming model describing the management problem should satisfy a certain set of axioms. It is shown that a certain class of multiobjective problems may be solved by a game-theoretical concept leading to a single objective quasiconvex programming problem. The method is generalization of Nash's cooperative game theoretical model, and may lean on Zeuther's bargaining process. The methodology is applied to the Transdanubian Karstic region in Hungary where three objectives are present: mining costs, water supply and environmental protection. Results are compared with the solution previously obtained by compromise programming with an l₁-norm. It is found that results obtained by the two methods are comparable.