Asymptotic Evaluations of the Stability Index for a Markov Control Process with the Expected Total Discounted Reward Criterion

В статье представлены материалы о взаимосвязи продолжительности продуктивного использования коров с характеристикой устойчивости к деградации, с возрастом отела и удоем. В исследованной, разнородной по происхождению, группе животных для прогноза продуктивного периода коров, обусловленного устойчивостью к деградации и возрастом первого отела, пригодно уравнение регрессии, аргументами в котором являются индекс устойчивости, возраст первого отела в первой и второй степенях. Коэффициент корреляции межу предсказанными значениями продуктивного периода и его фактическими величинами в I группе составляет 0,502, во II - 0,604. При этом крайние варианты прогнозируются со статистическими ошибками 5 мес при оценке индекса устойчивости по 2 лактациям и 4,1 мес по 3, а средние варианты, соответственно, 1,6 и 1,51 мес. Индекс устойчивости к процессу старения является важной характеристикой биологических особенностей коров, определяющий их продуктивное долголетие. Его оценка по первым 2 и 3 лактациям имеет прямолинейную связь с продуктивным периодом (r=0,4109 и r=0,5270), соответственно. Зависимость продуктивного периода от возраста первого отела криволинейная — с увеличением возраста первого отела сокращается срок продуктивного использования, при возрасте первого отела более 1400 дней срок продуктивного использования колеблется от 1,33 до 1,41 лактации. Коэффициент корреляции между этими характеристиками коров составляет - 0,2164 в I и - 0,2620 во II группах. The article presents materials about the relationship of the duration of productive use of cows with the characteristic of resistance to degradation, with the age of calving and milk yield. In the studied group of animals, which is heterogeneous in origin, the regression equation is suitable for predicting the productive period of cows due to resistance to degradation and the age of the first calving, the arguments of which are the stability index, the age of the first calving in the first and second degrees. The correlation coefficient between the predicted values of the productive period and its actual values in group I is 0.502, in group II - 0.604. At the same time, the extreme variants are predicted with statistical errors of 5 months when evaluating the stability index for 2 lactations and 4.1 months for 3, and the average variants, respectively, are 1.6 and 1.51 months. The index of resistance to the aging process is an important characteristic of the biological characteristics of cows, which determines their productive longevity. Its estimate for the first 2 and 3 lactations has a direct relationship with the productive period (r=0.4109 and r=0.5270), respectively. The dependence of the productive period age at first calving curvilinear with increasing age at first calving reduces the time to productive use, while age at first calving of more than 1400 days, the period of productive use ranges from 1.33 to 1.41 lactation. The correlation coefficient between these characteristics of cows is-0.2164 in I and-0.2620 in II groups.

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InsP7is a small-molecule regulator of NUDT3-mediated mRNA decapping and processing-body dynamics

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.1922284117 ◽

2020 ◽

Vol 117 (32) ◽

pp. 19245-19253 ◽

Cited By ~ 1

Author(s):

Soumyadip Sahu ◽

Zhenzhen Wang ◽

Xinfu Jiao ◽

Chunfang Gu ◽

Nikolaus Jork ◽

...

Keyword(s):

Stress Responses ◽

Messenger Rna ◽

Control Process ◽

Stem Cell Differentiation ◽

Wild Type ◽

Inositol Pyrophosphate ◽

Body Dynamics ◽

Processing Body ◽

The Stability

Regulation of enzymatic 5′ decapping of messenger RNA (mRNA), which normally commits transcripts to their destruction, has the capacity to dynamically reshape the transcriptome. For example, protection from 5′ decapping promotes accumulation of mRNAs into processing (P) bodies—membraneless, biomolecular condensates. Such compartmentalization of mRNAs temporarily removes them from the translatable pool; these repressed transcripts are stabilized and stored until P-body dissolution permits transcript reentry into the cytosol. Here, we describe regulation of mRNA stability and P-body dynamics by the inositol pyrophosphate signaling molecule 5-InsP7(5-diphosphoinositol pentakisphosphate). First, we demonstrate 5-InsP7inhibits decapping by recombinant NUDT3 (Nudix [nucleoside diphosphate linked moiety X]-type hydrolase 3) in vitro. Next, in intact HEK293 and HCT116 cells, we monitored the stability of a cadre of NUDT3 mRNA substrates following CRISPR-Cas9 knockout ofPPIP5Ks(diphosphoinositol pentakisphosphate 5-kinases type 1 and 2, i.e.,PPIP5KKO), which elevates cellular 5-InsP7levels by two- to threefold (i.e., within the physiological rheostatic range). ThePPIP5KKO cells exhibited elevated levels of NUDT3 mRNA substrates and increased P-body abundance. Pharmacological and genetic attenuation of 5-InsP7synthesis in the KO background reverted both NUDT3 mRNA substrate levels and P-body counts to those of wild-type cells. Furthermore, liposomal delivery of a metabolically resistant 5-InsP7analog into wild-type cells elevated levels of NUDT3 mRNA substrates and raised P-body abundance. In the context that cellular 5-InsP7levels normally fluctuate in response to changes in the bioenergetic environment, regulation of mRNA structure by this inositol pyrophosphate represents an epitranscriptomic control process. The associated impact on P-body dynamics has relevance to regulation of stem cell differentiation, stress responses, and, potentially, amelioration of neurodegenerative diseases and aging.

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The stability index of a cactus

Journal of the Australian Mathematical Society ◽

10.1017/s1446788700020188 ◽

1977 ◽

Vol 24 (2) ◽

pp. 170-183

Author(s):

Douglas D. Grant ◽

D. A. Holton

Keyword(s):

Connected Graph ◽

Stability Index ◽

The Stability

AbstractWe show that ifGis a connected graph of ordernsuch that no line lies in more than one cycle (in other words,Gis a cactus of ordern), then the stability index ofGis one of the integers 0, 1,n−7,n−6,n−5,n−4 orn.

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Features of pubertal patients with schizophrenia neurocognitive profile

European Psychiatry ◽

10.1016/j.eurpsy.2017.01.412 ◽

2017 ◽

Vol 41 (S1) ◽

pp. S430-S431

Author(s):

Y. Barylnik ◽

S. Pakhomova ◽

D. Samoylova ◽

J. Abrosimova ◽

E. Kolesnichenko ◽

...

Keyword(s):

Stability Index ◽

Neurocognitive Disorders ◽

Motor Speed ◽

Structuring Element ◽

Test Part ◽

Psychic Disorders ◽

Competing Interest ◽

Neurocognitive Profile ◽

The Stability ◽

High Level

Identifying the patterns of neurocognitive disorders in pubertal schizophrenia is actual.MethodsBenton Test of visual retention, methods of forward and reverse bills, Bourdon correction sample, Wechsler's subtests (subtest 11 – “Encryption”, subtest 12 – “Labyrinths” 1, 2, 3, 4, 5), Trail Creating a Test Part A.ResultsAll patients were divided into 3 groups. The first group (schizophrenia) and second group (other psychic disorders) showed the worst results than healthy subjects. Qualitative analysis of the “Benton Test” results showed similar variations of difficulty and types of errors in the subjects of the first and second groups – ignoring the number of the figure sides, as well as difficulties in the structuring element of the image corners. The “Methods of forward and reverse bills” demonstrated the fatigue and attention instability. “Bourdon test” showed a high level of the stability index (K = 0.09). Wechsler's subtest “Encryption B” obtained poor results, indicating a pathological decrease in visual-motor speed. During the subtest “Labyrinths 1, 2, 3, 4, 5” the subjects of first and second groups exceeded the allowable time limit, but the first group of schizophrenia patients allowed more blunders during pubertal study (ignored the walls of the maze, torn pencil despite the given instructions). The test groups 1 and 2 while passing “Trail Creating a Test Part A” have shown good results – job data did not cause difficulties and carried out in accordance with the specified instructions.ConclusionsNeurocognitive disorders allow to confirm the presence of morphological and functional brain changes when endogenous mental illness occurs.Disclosure of interestThe authors have not supplied their declaration of competing interest.

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THE OASIS SOIL TYPE CHANGE AND ITS FRACTAL IN MANASI RIVER BASIN BETWEEN 1987–2006, ARID NORTHWESTERN CHINA / MANASI UPĖS BASEINO SAUSRINGOJE ŠIAURĖS VAKARŲ KINIJOJE OAZIŲ DIRVOŽEMIO TIPŲ POKYČIAI IR FRAKTALAI 1987–2006 M

Journal of Environmental Engineering and Landscape Management ◽

10.3846/16486897.2012.660882 ◽

2012 ◽

Vol 20 (3) ◽

pp. 177-184 ◽

Cited By ~ 1

Author(s):

Pujia Yu ◽

Hailiang Xu ◽

Shiwei Liu ◽

Xinfeng Zhao ◽

Qingqing Zhang ◽

...

Keyword(s):

River Basin ◽

Soil Type ◽

Stability Index ◽

Rapid Expansion ◽

Soil Types ◽

Semiarid Region ◽

Arid Northwestern China ◽

Type Change ◽

The Stability ◽

Soil Changes

During the past 20 years, great landscape changes took place in the northwest of China. Landscape change resulted in soil type transformations. This paper discusses the changes and fractal of soil types in oasis. In order to do it, the soil type maps of Manasi River Basin in 1987 and 2006 were used. 13 types of soil and 2 types of land-use were classified and analyzed in the study area. Results indicated many variations in characteristics. Firstly, all soil types underwent remarkable changes from 1987 to 2006 in the study area: the identified changed area was about 30% or 6506.33 km2. Secondly, in comparison with 1987, in 2006 2/3 of the area's soil types increased, while 1/3 decreased. Rapid expansion of Aquicambids (415.28 km2), and rapid decrease of Petrocambids (797.05 km2) and Aquisalids (415.93 km2) were the noticeable findings. Furthermore, Haplocambids obtained largest gains from other soil types, while Petrocambids lost largest area to other types. Additionally, the fractal relationship objectively existed between the perimeter and area of soil patches. The fractal dimension of Aquisalids, Petrocalcids and Ustifluvents became higher and their shapes became more complex during this period. The stability index was higher in 2006 which indicated that the spatial structure of soil type was more stable than in 1987. These chaotic and occasional changes were largely caused by human activities and natural conditions. Consequently, environmental managers should pay more attention to soil changes in the arid and semiarid region. Santrauka Per pastaruosius 20 metų šiaurės vakarų Kinijoje įvyko didelių kraštovaizdžio pokyčių, lėmusių ir dirvožemio tipų pakitimus. Remiantis 1987–2006 m. Manasi upės baseino dirvožemio žemėlapiais, aptariami dirvožemio tipų pokyčiai ir fraktalai oazėse. Pasirinktoje teritorijoje išskirta ir analizuota 13 dirvožemio tipų ir dvejopa žemėnauda. Nustatyta daug kintamųjų parametrų. Pirma, tirtõs teritorijos visų tipų dirvožemiai nuo 1987 iki 2006 m. žymiai pakito. Nustatytoji pokyčių zona apima apie 30 % teritorijos, arba 6 506,32 km2. Antra, palyginti su 1987 m., 2006 m. 10 dirvožemio tipų teritorija padidėjo, o 5 tipų sumažėjo. Sparčiai padidėjo Aquicambids (415,28 km2), sparčiai sumažėjo Petrocambids (797,05 km2) ir Aquisalids (415,93 km2), pokyčiai buvo žymūs. Iš visų kitų pakitusių dirvožemių tipų Haplocambids plotai padidėjo daugiausia, o labiausiai, palyginti su kitais, sumažėjo Petrocambids plotai. Be to, pastebėta, kad tarp dirvožemio teritorijos plotų ir perimetrų objektyviai egzistuoja fraktalinės sąsajos. Fraktalinės dimensijos Aquisalids, Petrocalcids ir Ustifluvents per minėtą laikotarpį padidėjo, o jų formos tapo sudėtingesnės. Stabilumo indeksas 2006 m. buvo didesnis. Tai rodė, kad erdvinė dirvožemio struktūra mažai pakito, tapo stabilesnė, palyginti nei buvo 1987 m. Šiuos atsitiktinius pokyčius iš esmės lėmė žmogaus veikla ir gamtinės sąlygos. Prieita prie išvados, kad sausojo ar pusiau sauso klimato regionuose kraštotvarkos vykdytojai dirvožemio pokyčiams turėtų skirti daugiau dėmesio.

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Densities of scaling limits of coupled continuous time random walks

Fractional Calculus and Applied Analysis ◽

10.1515/fca-2016-0077 ◽

2016 ◽

Vol 19 (6) ◽

Cited By ~ 4

Author(s):

Marcin Magdziarz ◽

Tomasz Zorawik

Keyword(s):

Fractional Differential Equations ◽

Continuous Time ◽

Stability Index ◽

Scaling Limits ◽

Explicit Formulas ◽

Material Derivative ◽

Lévy Walks ◽

Continuous Time Random Walks ◽

Fractional Differential ◽

The Stability

AbstractIn this paper we derive explicit formulas for the densities of Lévy walks. Our results cover both jump-first and wait-first scenarios. The obtained densities solve certain fractional differential equations involving fractional material derivative operators. In the particular case, when the stability index is rational, the densities can be represented as an integral of Meijer

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Neural Entrainment Meets Behavior: The Stability Index as a Neural Outcome Measure of Auditory-Motor Coupling

Frontiers in Human Neuroscience ◽

10.3389/fnhum.2021.668918 ◽

2021 ◽

Vol 15 ◽

Author(s):

Mattia Rosso ◽

Marc Leman ◽

Lousin Moumdjian

Keyword(s):

Outcome Measure ◽

Pathological Condition ◽

Brain Activity ◽

Behavioral Outcomes ◽

Stability Index ◽

Behavioral Measures ◽

Neural Entrainment ◽

Entrainment Effect ◽

The Stability ◽

The Impact

Understanding rhythmic behavior in the context of coupled auditory and motor systems has been of interest to neurological rehabilitation, in particular, to facilitate walking. Recent work based on behavioral measures revealed an entrainment effect of auditory rhythms on motor rhythms. In this study, we propose a method to compute the neural component of such a process from an electroencephalographic (EEG) signal. A simple auditory-motor synchronization paradigm was used, where 28 healthy participants were instructed to synchronize their finger-tapping with a metronome. The computation of the neural outcome measure was carried out in two blocks. In the first block, we used Generalized Eigendecomposition (GED) to reduce the data dimensionality to the component which maximally entrained to the metronome frequency. The scalp topography pointed at brain activity over contralateral sensorimotor regions. In the second block, we computed instantaneous frequency from the analytic signal of the extracted component. This returned a time-varying measure of frequency fluctuations, whose standard deviation provided our “stability index” as a neural outcome measure of auditory-motor coupling. Finally, the proposed neural measure was validated by conducting a correlation analysis with a set of behavioral outcomes from the synchronization task: resultant vector length, relative phase angle, mean asynchrony, and tempo matching. Significant moderate negative correlations were found with the first three measures, suggesting that the stability index provided a quantifiable neural outcome measure of entrainment, with selectivity towards phase-correction mechanisms. We address further adoption of the proposed approach, especially with populations where sensorimotor abilities are compromised by an underlying pathological condition. The impact of using stability index can potentially be used as an outcome measure to assess rehabilitation protocols, and possibly provide further insight into neuropathological models of auditory-motor coupling.

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Study on the Instability Characteristics and Bolt Support in Deep Mining Roadways Based on the Surrounding Rock Stability Index: Example of Pansan Coal Mine

Advances in Civil Engineering ◽

10.1155/2020/8855335 ◽

2020 ◽

Vol 2020 ◽

pp. 1-16 ◽

Cited By ~ 1

Author(s):

Jucai Chang ◽

Kai He ◽

Zhiqiang Yin ◽

Wanfeng Li ◽

Shihui Li ◽

...

Keyword(s):

Coal Mine ◽

Stability Index ◽

Surrounding Rock ◽

Full Length ◽

Control Effect ◽

Support Design ◽

Rock Stability ◽

Working Face ◽

The Stability ◽

Bolt Support

In view of the influence of mining stress on the stability of the surrounding rock of inclined roof mining roadways in deep mines, the surrounding rock stability index is defined and solved based on the rock strength criterion and the stress distribution. The mining roadway of the 17102(3) working face of the Pansan Coal Mine is used as the engineering background and example. The surrounding rock’ stabilities under the conditions of no support and bolt support are analyzed according to the surrounding rock’s stability index and the deformation data. The results show that the areas of low wall and high wall instability are 1.68 m2 and 2.12 m2, respectively, and the low wall is more stable than the high wall; the areas of the roof and floor instability are 0.33 m2 and 0.35 m2, respectively, and the roof and floor are more stable than the two sides. During mining, the area of instability greatly increases at first, then decreases to 0, and reaches a maximum value at the peak of the abutment pressure. The stability of the surrounding rock decreases first and then increases. Compared with the end anchoring bolt support, the full-length anchoring bolt support reduces the area of instability to a greater extent, and the full-length anchoring bolt support effect is better. The surrounding rock in the end anchoring zone and the full-length anchoring zone began to deform significantly at 200 m and 150 m from the working face, respectively. This indicates that the control effect of the full-length anchoring bolt support is better and verifies the rationality of the surrounding rock stability index to describe the instability characteristics. This research method can provide a theoretical reference for analysis of the stability characteristics and support design of different cross-section roadways.

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Panel modeling of z-score: evidence from Islamic and conventional Saudi banks

International Journal of Islamic and Middle Eastern Finance and Management ◽

10.1108/imefm-04-2018-0122 ◽

2019 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Hassan Belkacem Ghassan ◽

Abdelkrim Ahmed Guendouz

Keyword(s):

Financial Stability ◽

Banking Sector ◽

Stability Index ◽

Z Score ◽

Strong Concentration ◽

Content Type ◽

Quarterly Data ◽

Annual Frequency ◽

Conventional Banks ◽

The Stability

Purpose This paper aims to measure the stability extent of the banking sector in Saudi Arabia, including Islamic and conventional banks (CBs), using quarterly data. Design/methodology/approach The paper uses seemingly unrelated regressions to estimate the determinants of the z-score. Findings The panel data model shows that Islamic banks (IBs) reduce the financial stability index relatively; meanwhile, they contribute efficiently to enhance the financial stability through the diversification of their assets. The Saudi banking sector exhibits strong concentration affecting the financial stability negatively. Research limitations/implications The paper’s topic can be extended to cover the recent period. Practical implications The limited presence of IBs in the Saudi banking sector jeopardizes any effort to improve the financial stability. Social implications By attracting more clients, IBs would contribute more to the financial stability in the Saudi economy. Also, the monetary authority has to expand the share of IBs in the financial system at least 50-50 compared to CBs. Originality/value The z-score is mostly analyzed with yearly data; in this paper we use quarterly data to describe at infra-annual frequency the variability of the z-score index. Also, we consider in detail the statistical properties of the banks’ data.

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A Study of the Spatial Form of Maling Village, Henan, China

Sustainability ◽

10.3390/su12187350 ◽

2020 ◽

Vol 12 (18) ◽

pp. 7350

Author(s):

Qindong Fan ◽

Fengtian Du ◽

Hu Li

Keyword(s):

Land Use ◽

Fractal Dimension ◽

Fractal Theory ◽

Stability Index ◽

Spatial Form ◽

Land Use Types ◽

Fractal Characteristics ◽

Spatial Shape ◽

The Stability ◽

The Village

In order to improve the study of the spatial form of villages, fractal theory is used to analyze the plane and facade of Maling Village, Changdai Town, Mengjin County, Luoyang City, Henan Province, China. The results show that the village facade and plane spatial shape of Maling Village have obvious fractal characteristics and the fractal dimension can be used as an important index to evaluate the plane and facade shape of the village. The fractal dimension of each land use type is between 1.2415 and 1.7443. The stability index of land use types in the village follows the order of village construction land > cultivated land > road > garden land > woodland > grassland. The research results can provide decision-making information for the rational use and planning of village land.

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