Let $T\in {\mathcal{L}}(X)$ be a bounded operator on a complex Banach space $X$. If $V$ is an open subset of the complex plane such that $\lambda -T$ is of Kato-type for each $\lambda \in V$, then the induced mapping $f(z)\mapsto (z-T)f(z)$ has closed range in the Fréchet space of analytic $X$-valued functions on $V$. Since semi-Fredholm operators are of Kato-type, this generalizes a result of Eschmeier on Fredholm operators and leads to a sharper estimate of Nagy’s spectral residuum of $T$. Our proof is elementary; in particular, we avoid the sheaf model of Eschmeier and Putinar and the theory of coherent analytic sheaves.
The aim of this study was to show that the kind of AKH-mobilized energy substrates in insects can be predicted on the basis of the results obtained with the application of heterologous, i.e. inter-species, AKHs. Four different AKHs, the Locmi-AKH-I inducing hyperlipaemia and hyperglycaemia in Locusta migratoria, Tenmo-HrTH inducing hyperglycaemia in Tenebrio molitor, and Pyrap-AKH and Peram-CAH-II inducing hyperlipaemia in Pyrrhocoris apterus were used, firstly in conspecific tests, secondly in all possible species-AKH combinations, and finally in individual applications on the test species, the cotton bug Dysdercus cingulatus. Since each of the AKHs induced hyperlipaemia in D. cingulatus adults, we predicted that lipids are the only energy substrates which are mobilized in this species by its native AKH. The accuracy of this prediction was subsequently confirmed by the structural identification of the native D. cingulatus AKH and conspecific application tests. The proposed methodical approach can serve as a suitable monitoring system for determination of the kind of energy substrates mobilized by native insect AKHs until the structure of the hormone is identified.
KL-Miner [9] is a datarnining procedure that, given input data matrix
M. and a set of parameters, generates patterns of the form R ~ C/7. Here R and C are categorial attributes corresponding to the columns of M, and 7 is a Boolean condition defined in terms of the remaining colums of Ai. The pattern R C means that R and C are strongly correlated on the submatrix of M formed by all the rows of M that satisfy 7. What is meant by “strong correlation” and how are R, C and 7 generated is determined by the input parameters of the procedure. KL-Miner conforms to the GUHA principle forinulated in [1]. It revives two older GUHA procedures described in [2]; it is very much related to CORREL and contains a new implementation of COLLAPS as a module.
In this paper, we mention the motivation that leads to designing of KL-Miner, describing our new implementation of COLLAPS and giving application exarnples that illustrate the main features of KL-Miner.
A Northwest Iranian dialect, Aftari, is grouped both diachronically and typologically together with the other dialects spoken around the town of Semnān, east of Tehran. For this group the designation “Komisenian”, after the old name of the province, is proposed in the article. As is the case with the neighboring Caspian dialects to the north, Aftari is the language of postpositions, and it has a relatively elaborate system of personal and demonstrative pronouns. Aftari shares with Tabari the element -enn- in the present indicative, a remnant of the Old Iranian present participle * -ant-. In terms of ergativity, Aftari holds a position somewhere between Tabari, which has none, and the Central Plateau Dialects which have preserved the system. Remnants of the Middle Iranian ergativity remain in Aftari as a distinct set of personal endings for the past transitive; in the past, these acted as agents of transitive verbs. Thus, transitivity still plays a role in the past conjugation, but there are indications that the difference is fading away, most notably in 3rd person singular forms. The intransitive past tenses are marked by -št- preceding the personal endings, except for the 3rd person singular, which has neither. The perfect tense has various constructions, often merging with the preterit, and thus may not be authentic to Aftari.
This paper generalizes the results of papers which deal with the Kurzweil-Henstock construction of an integral in ordered spaces. The definition is given and some limit theorems for the integral of ordered group valued functions defined on a Hausdorff compact topological space $T$ with respect to an ordered group valued measure are proved in this paper.
Certain financial market strategies are known to exhibit a hysteretic structure similar to the memory observed in plasticity, ferromagnetism, or magnetostriction. The main difference is that in financial markets, the spontaneous occurrence of discontinuities in the time evolution has to be taken into account. We show that one particular market model considered here admits a representation in terms of Prandtl-Ishlinskii hysteresis operators, which are extended in order to include possible discontinuities both in time and in memory. The main analytical tool is the Kurzweil integral formalism, and the main result proves the well-posedness of the process in the space of right-continuous regulated functions.
We propose an extended version of the Kurzweil integral which contains both the Young and the Kurzweil integral as special cases. The construction is based on a reduction of the class of δ-fine partitions by excluding small sets.
The Kurzweil-Henstock approach has been successful in giving an alternative definition to the classical Itô integral, and a simpler and more direct proof of the Itô Formula. The main advantage of this approach lies in its explicitness in defining the integral, thereby reducing the technicalities of the classical stochastic calculus. In this note, we give a unified theory of stochastic integration using the Kurzweil-Henstock approach, using the more general martingale as the integrator. We derive Henstock's Lemmas, absolute continuity property of the primitive process, integrability of stochastic processes and convergence theorems for the Kurzweil-Henstock stochastic integrals. These properties are well-known in the classical (non-stochastic) integration theory but have not been explicitly derived in the classical stochastic integration.
T. Almada and J. Vaz de Carvalho (2001) stated the problem to investigate if these Lukasiewicz algebras are algebras of some logic system. In this article an affirmative answer is given and the L m n -propositional calculus, denoted by ℓ m n , is introduced in terms of the binary connectives → (implication), ։ (standard implication), ∧ (conjunction), ∨ (disjunction) and the unary ones f (negation) and Di , 1 ≤ i ≤ n − 1 (generalized Moisil operators). It is proved that ℓ m n belongs to the class of standard systems of implicative extensional propositional calculi. Besides, it is shown that the definitions of L m n -algebra and ℓ m n -algebra are equivalent. Finally, the completeness theorem for ℓ m n is obtained.
The main objective of the paper was to propose and evaluate the performance of a regional approach to estimate CN values and to test the impact of different initial abstraction ratios. The curve number (CN) was analyzed for five Slovak and five Polish catchments situated in the Carpathian Mountains. The L-moment based method of Hosking and Wallis and the ANOVA test were combined to delineate the area in two homogenous regions of catchments with similar CN values. The optimization condition enabled the choice of the initial abstraction ratio, which provided the smallest discrepancy between the tabulated and estimated CNs and the antecedent runoff conditions. The homogeneity in the CN within the regions of four Slovak and four Polish catchments was revealed. Finally, the regional CN was proposed to be at the 50% quantile of the regional theoretical distribution function estimated from all the CNs in the region. The approach is applied in a group of Slovak and Polish catchments with physiographic conditions representative for the Carpathian region. The main benefit of introducing a common regional CN is the opportunity to apply this procedure in catchments of similar soil-physiographic characteristics and to verify the existing tabulated CN. The paper could give rise to an alternative way of estimating the CN values in forested catchments and catchments with a lack of data or without observations.