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Exploring the Growth-Profit-Size Triangle in Hungarian ICT SMEs
( Aron Perenyi ) 한국EU학회 2013 Asia-Pacific Journal of EU Studies Vol.11 No.2
Firm growth, profitability and size relationships are described by economic and firm theory. Gibrat’s Law of proportionate effect states that firm growth is independent of firm size, and a trade-off is expected between firm growth and profitability. An investigation into small firms from the Hungarian ICT sector was conducted. Relationships were hypothesised based on results of prior empirical testing and tested based on cross-sectional data reflecting the opinions of owners and managers of these businesses. Firm size and profitability were positively related to firm growth compared to competitors. Size and profitability showed no significant relationship with firm growth potential. There was no significant relationship between firm size and profitability. Within the context of investigation, these results are acceptable, although rejecting Gibrat’s Law or the predominant assumption of growth-profit trade-off.
The Bishop-Phelps-Bollobas theorem for L(L<sub>1</sub>(μ),L<sub>∼</sub>[0,1])
Aron, R.M.,Choi, Y.S.,Garcia, D.,Maestre, M. Academic Press ; Elsevier Science B.V. Amsterdam 2011 Advances in mathematics Vol.228 No.1
We show that the Bishop-Phelps-Bollobas theorem holds for all bounded operators from L<SUB>1</SUB>(μ) into L<SUB>∼</SUB>[0,1], where μ is a σ-finite measure.
Aron Paek,정성은,Hee Yun Park 한국분자세포생물학회 2012 Molecules and cells Vol.33 No.5
Chitinase is a rate-limiting and endo-splitting enzyme involved in the bio-degradation of chitin, an important component of the cuticular exoskeleton and peritrophic matrix in insects. We isolated a cDNA-encoding chitinase from the last larval integument of the cabbage moth, Mamestra brassicae (Lepidoptera; Noctuidae), cloned the ORF cDNA into E. coli to confirm its functionality, and analyzed the deduced amino acid sequence in comparison with previously described lepidopteran chitinases. M. brassicae chitinase expressed in the transformed E. coli cells with the chitinase-encoding cDNA enhanced cell proliferation to about 1.6 times of the untransformed wild type strain in a colloidal chitin-including medium with only a very limited amount of other nutrients. Compared with the wild type strain, the intracellular levels of chitin degradation derivatives, glucosamine and N-acetylglucosamine were about 7.2 and 2.3 times higher, respectively, while the extracellular chitinase activity was about 2.2 times higher in the transformed strain. The ORF of M. brassicae chitinase-encoding cDNA consisted of 1686 nucleotides (562 amino acid residues) except for the stop codon, and its deduced amino acid composition revealed a calculated molecular weight of 62.7 and theoretical pI of 5.3. The ORF was composed of N-terminal leading signal peptide (AA 1-20), catalytic domain (AA 21-392), linker region (AA 393-498), and C-terminal chitin-binding domain (AA 499-562) showing its characteristic structure as a molting fluid chitinase. In phylogenetic analysis, the enzymes from 6 noctuid species were grouped together, separately from a group of 3 bombycid and 1 tortricid enzymes, corresponding to their taxonomic relationships at both the family and genus levels.
Aron, Richard,Markose, Dinesh Korean Mathematical Society 2004 대한수학회지 Vol.41 No.1
An entire function $f\;{\in}\;H(\mathbb{C})$ is called universal with respect to translations if for any $g\;{\in}\;H(\mathbb{C}),\;R\;>\;0,\;and\;{\epsilon}\;>\;0$, there is $n\;{\in}\;{\mathbb{N}}$ such that $$\mid$f(z\;+\;n)\;-\;g(z)$\mid$\;<\;{\epsilon}$ whenever $$\mid$z$\mid$\;{\leq}\;R$. Similarly, it is universal with respect to differentiation if for any g, R, and $\epsilon$, there is n such that $$\mid$f^{(n)}(z)\;-\;g(z)$\mid$\;<\;{\epsilon}\;for\;$\mid$z$\mid$\;{\leq}\;R$. In this note, we review G. MacLane's proof of the existence of universal functions with respect to differentiation, and we give a simplified proof of G. D. Birkhoff's theorem showing the existence of universal functions with respect to translation. We also discuss Godefroy and Shapiro's extension of these results to convolution operators as well as some new, related results and problems.