scholarly journals The integral limit theorem in the first passage problem for sums of independent nonnegative lattice variables

2006 ◽  
Vol 2006 ◽  
pp. 1-12
Author(s):  
Yuri P. Virchenko ◽  
M. I. Yastrubenko
Keyword(s):  
Limit Theorem ◽  
Random Number ◽  
First Passage ◽  
Integral Limit ◽  
Integral Limit Theorem ◽  
The Given ◽  
First Time ◽  
Mutually Independent ◽  
First Passage Problem ◽  
Independent Lattice

The integral limit theorem as to the probability distribution of the random numberνmof summands in the sum∑k=1νmξkis proved. Here,ξ1,ξ2,…are some nonnegative, mutually independent, lattice random variables being equally distributed andνmis defined by the condition that the sum value exceeds at the first time the given levelm∈ℕwhen the number of terms is equal toνm.

scholarly journals On the estimation of the remainder term in the multidimensional integral limit theorem for the stable limit law

1969 ◽  
Vol 9 (4) ◽  
pp. 731-739
Author(s):  
J. Banys
Keyword(s):  
Limit Theorem ◽  
Remainder Term ◽  
Stable Limit ◽  
Integral Limit ◽  
Integral Limit Theorem ◽  
Multidimensional Integral

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: И. И. Банис. Об оценке остаточного члена в многомерной интегральной предельной теореме при сходимости к устойчивому закону J Banys. Liekamojo nario įvertinimas daugiamatėje integralinėje ribinėje teoremoje stabilaus ribinio dėsnio atveju

scholarly journals An estimate of the remainder term in the integral limit theorem in the case of convergence to the stable law

1971 ◽  
Vol 11 (3) ◽  
pp. 627-639
Author(s):  
A. Mitalauskas
Keyword(s):  
Limit Theorem ◽  
Remainder Term ◽  
Stable Law ◽  
Integral Limit ◽  
Integral Limit Theorem

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: А. А. Миталаускас. Оценка остаточного члена в интегральной предельной теореме в случае сходимости к устойчивому закону A. Mitalauskas. Liekamojo nario įvertinimas integralinėje ribinėje teoremoje konvergavimo į stabilų dėsnį atveju

Root with Alternation of -ravn-/-rovn- (From Materials of the Academic Description of Russian Spelling)

2020 ◽  
Vol 81 (6) ◽  
pp. 90-96
Author(s):  
E. V. Arutiunova ◽  
E. V. Beshenkova ◽  
O. E. Ivanova
Keyword(s):  
Russian Language ◽  
Study Guides ◽  
Russian Academy Of Sciences ◽  
Academy Of Sciences ◽  
The Given ◽  
First Time ◽  
The Russian Language

The study investigates the rule of spelling the root -ravn-/-rovn- and is considered to be a fragment of the academic description of Russian spelling, which is currently being under investigation at the Russian Language Institute of the Russian Academy of Sciences. The authors clarify the meanings that determine the spelling of the unstressed root, supplement the lists of exceptions, denote words with meanings not corresponding to the given values-criteria, and, for the first time in linguistics, investigate the words that can be correlated with different values-criteria, that is, they have double motivation. The rule codifies the spelling of words that have double motivation and fluctuate in usus, dictionaries, study guides and reference books. Spelling recommendations for these words correspond to the current linguistic norm and were approved by the Spelling Commission of the Russian Academy of Sciences in 2019. The linguistic commentary to the rule contains the most significant etymological facts concerning the root -ravn-/-rovn- and summarises the scientific and methodological attempts to figure out the distribution of vocabulary with root -ravn-/-rovn- based on the meanings selected in the spelling rules. In the paper it is shown that the instability in spelling of various verbs with the root -ravn-/-rovn- in modern writing and dictionaries is determined by the double motivation of words, as well as contradictory recommendations and gaps in the rules.

LUMINESCENCE OF THE BLACK SEA MICROSCOPIC FUNGI CULTURES

2017 ◽  
Author(s):  
Olga Mashukova ◽  
Olga Mashukova ◽  
Yuriy Tokarev ◽  
Yuriy Tokarev ◽  
Nadejda Kopytina ◽  
...  
Keyword(s):  
Fresh Water ◽  
Black Sea ◽  
Ethyl Alcohol ◽  
Light Emission ◽  
Sea Water ◽  
Control Culture ◽  
Chemical Stimulation ◽  
The Black Sea ◽  
The Given ◽  
First Time

We studied for the first time luminescence characteristics of the some micromycetes, isolated from the bottom sediments of the Black sea from the 27 m depth. Luminescence parameters were registered at laboratory complex “Svet” using mechanical and chemical stimulations. Fungi cultures of genera Acremonium, Aspergillus, Penicillium were isolated on ChDA medium which served as control. Culture of Penicillium commune gave no light emission with any kind of stimulation. Culture of Acremonium sp. has shown luminescence in the blue – green field of spectrum. Using chemical stimulation by fresh water we registered signals with luminescence energy (to 3.24 ± 0.11)•108 quantum•cm2 and duration up to 4.42 s, which 3 times exceeded analogous magnitudes in a group, stimulated by sea water (p < 0.05). Under chemical stimulation by ethyl alcohol fungi culture luminescence was not observed. Culture of Aspergillus fumigatus possessed the most expressed properties of luminescence. Stimulation by fresh water culture emission with energy of (3.35 ± 0.11)•108 quantum•cm2 and duration up to 4.96 s. Action of ethyl alcohol to culture also stimulated signals, but intensity of light emission was 3–4 times lower than under mechanical stimulation. For sure the given studies will permit not only to evaluate contribution of marine fungi into general bioluminescence of the sea, but as well to determine places of accumulation of opportunistic species in the sea.

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