scholarly journals A boundedness theorem for nearby slopes of holonomic -modules

2016 ◽  
Vol 152 (10) ◽  
pp. 2050-2070
Author(s):  
Jean-Baptiste Teyssier
Keyword(s):  
Differential Equation ◽  
Smooth Curve ◽  
Natural Conditions ◽  
Boundedness Theorem ◽  
Explicit Bound ◽  
Nearby Cycles ◽  
The Family ◽  
Holonomic Modules ◽  
Boundedness Result

Using twisted nearby cycles, we define a new notion of slopes for complex holonomic${\mathcal{D}}$-modules. We prove a boundedness result for these slopes, study their functoriality and use them to characterize regularity. For a family of (possibly irregular) algebraic connections${\mathcal{E}}_{t}$parametrized by a smooth curve, we deduce under natural conditions an explicit bound for the usual slopes of the differential equation satisfied by the family of irregular periods of the${\mathcal{E}}_{t}$. This generalizes the regularity of the Gauss–Manin connection proved by Griffiths, Katz and Deligne.

scholarly journals Hyperbolastic Models from a Stochastic Differential Equation Point of View

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1835
Author(s):  
Antonio Barrera ◽  
Patricia Román-Román ◽  
Francisco Torres-Ruiz
Keyword(s):  
Differential Equation ◽  
Simulated Data ◽  
Real Data ◽  
Point Of View ◽  
Likelihood Method ◽  
Numerical Resolution ◽  
The Family ◽  
The Common ◽  
Linear Differential ◽  
Mean Function

A joint and unified vision of stochastic diffusion models associated with the family of hyperbolastic curves is presented. The motivation behind this approach stems from the fact that all hyperbolastic curves verify a linear differential equation of the Malthusian type. By virtue of this, and by adding a multiplicative noise to said ordinary differential equation, a diffusion process may be associated with each curve whose mean function is said curve. The inference in the resulting processes is presented jointly, as well as the strategies developed to obtain the initial solutions necessary for the numerical resolution of the system of equations resulting from the application of the maximum likelihood method. The common perspective presented is especially useful for the implementation of the necessary procedures for fitting the models to real data. Some examples based on simulated data support the suitability of the development described in the present paper.

scholarly journals FAMILIES OF AFFINE RULED SURFACES: EXISTENCE OF CYLINDERS

2016 ◽  
Vol 223 (1) ◽  
pp. 1-20 ◽  
Author(s):  
ADRIEN DUBOULOZ ◽  
TAKASHI KISHIMOTO
Keyword(s):  
Minimal Model ◽  
Finite Extension ◽  
Smooth Curve ◽  
Ruled Surfaces ◽  
Model Program ◽  
Minimal Model Program ◽  
Generic Fiber ◽  
Projective Model ◽  
The Family

We show that the generic fiber of a family $f:X\rightarrow S$ of smooth $\mathbb{A}^{1}$-ruled affine surfaces always carries an $\mathbb{A}^{1}$-fibration, possibly after a finite extension of the base $S$. In the particular case where the general fibers of the family are irrational surfaces, we establish that up to shrinking $S$, such a family actually factors through an $\mathbb{A}^{1}$-fibration $\unicode[STIX]{x1D70C}:X\rightarrow Y$ over a certain $S$-scheme $Y\rightarrow S$ induced by the MRC-fibration of a relative smooth projective model of $X$ over $S$. For affine threefolds $X$ equipped with a fibration $f:X\rightarrow B$ by irrational $\mathbb{A}^{1}$-ruled surfaces over a smooth curve $B$, the induced $\mathbb{A}^{1}$-fibration $\unicode[STIX]{x1D70C}:X\rightarrow Y$ can also be recovered from a relative minimal model program applied to a smooth projective model of $X$ over $B$.

scholarly journals General boundedness theorems to some second order nonlinear differential equation with integrable forcing term

1995 ◽  
Vol 18 (4) ◽  
pp. 823-824 ◽  
Author(s):  
Allan Kroopnick
Keyword(s):  
Differential Equation ◽  
Nonlinear Differential Equation ◽  
Real Line ◽  
Integrable Function ◽  
Second Order ◽  
Boundedness Theorem ◽  
Forcing Term ◽  
Order Nonlinear Differential Equation

In this note we present a boundedness theorem to the equationx″+c(t,x,x′)+a(t)b(x)=e(t)wheree(t)is a continuous absolutely integrable function over the nonnegative real line. We then extend the result to the equationx″+c(t,x,x′)+a(t,x)=e(t). The first theorem provides the motivation for the second theorem. Also, an example illustrating the theory is then given.

scholarly journals Intrinsic equations for a relaxed elastic line of second kind on an oriented surface

2016 ◽  
Vol 13 (03) ◽  
pp. 1650010
Author(s):  
Ergin Bayram ◽  
Emin Kasap
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Variational Problem ◽  
Initial Point ◽  
Arc Length ◽  
Initial Direction ◽  
Elastic Line ◽  
Oriented Surface ◽  
The Family

Let [Formula: see text] be an arc on a connected oriented surface [Formula: see text] in [Formula: see text], parameterized by arc length [Formula: see text], with torsion [Formula: see text] and length [Formula: see text]. The total square torsion [Formula: see text] of [Formula: see text] is defined by [Formula: see text]. The arc [Formula: see text] is called a relaxed elastic line of second kind if it is an extremal for the variational problem of minimizing the value of [Formula: see text] within the family of all arcs of length [Formula: see text] on [Formula: see text] having the same initial point and initial direction as [Formula: see text]. In this study, we obtain differential equation and boundary conditions for a relaxed elastic line of second kind on an oriented surface.

scholarly journals A description of stochastic systems using chaotic maps

2004 ◽  
Vol 2004 (2) ◽  
pp. 137-141 ◽  
Author(s):  
Abraham Boyarsky ◽  
Pawel Góra
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Probability Density ◽  
Stochastic Systems ◽  
Chaotic Maps ◽  
Probability Density Functions ◽  
Density Functions ◽  
Partial Differential ◽  
The Family ◽  
Point Transformations

Let ρ(x,t) denote a family of probability density functions parameterized by time t. We show the existence of a family {τ1:t>0} of deterministic nonlinear (chaotic) point transformations whose invariant probability density functions are precisely ρ(x,t). In particular, we are interested in the densities that arise from the diffusions. We derive a partial differential equation whose solution yields the family of chaotic maps whose density functions are precisely those of the diffusion.

The Family Group in Golden Hamsters: Its Formation and Break-Up

Behaviour ◽  
1961 ◽  
Vol 17 (2-3) ◽  
pp. 81-94 ◽  
Author(s):  
T.E. Rowell
Keyword(s):  
Small Groups ◽  
Experimental Tests ◽  
Natural Conditions ◽  
Play Fighting ◽  
The Third ◽  
Contact Behaviour ◽  
The Family ◽  
Third Stage ◽  
Three Stages ◽  
Break Up

AbstractI. Behaviour of the golden hamster during normal parturition is described. 2. This is compared with behaviour of mothers who did not rear their litters because of faulty response to suckling attempts by the pups. Absence of milk at the nipples is suggested as a cause for this unwillingness to nurse. 3. Pups which are not born in the nest are often abandoned. 4. Pups born dead are often treated as food, but live pups are not eaten until after parturition is over. 5. Litters do not form into the characteristic compact unit until they have fed and been brooded. 6. Three stages in family break-up are recognised: (i) At about twentyfive days the mother begins to wean her litter, stops rebuilding the old nest, and may build a smaller one elsewhere. It is possible she would normally leave her litter at this point. (ii) During their fifth week the pups stop trying to suckle and showing contact behaviour ; they begin to sleep in small groups, and seem to try to escape from the mother's cage. At this time the mother attacks them occasionally. (iii) With sexual maturity of the females (six weeks) play-fighting stops, and marking was not seen. If a female becomes pregnant she becomes dominant in a few days, but does not dare fight the mother. 7. It is likely that the third stage is an artefact of captivity and that the litter would be left by the mother in stage (i) and would largely disperse during stage (ii) in natural conditions. 8. The interpretations of observations described are necessarily tentative, and need experimental tests before they can be accepted.

scholarly journals Implementasi Program Keluarga Harapan Kecamatan Cisitu Kabupaten Sumedang

PERSPEKTIF ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 313-320
Author(s):  
Rika Kusdinar ◽  
Dewi Inggit Pergiwa
Keyword(s):  
Qualitative Research ◽  
Data Analysis ◽  
Data Collection ◽  
Research Method ◽  
The Other ◽  
Success Factor ◽  
Natural Conditions ◽  
The Family ◽  
The Government ◽  
Combined Data

The purpose of the research that researchers do is to find out the extent of the Implementation of the Family Hope Program in Cisitu District of Sumedang Regency. The method used in this study is a qualitative research method which is used in research based on the philosophy of postpositivism, used to examine the natural conditions of objects, where researchers act as key instruments, data collection techniques are carried out by triangulation (combined), data analysis is inductive, and qualitative research results emphasize more meaning than generalization. The technique used in taking samples is to use purposive sampling, which is sampling based on needs, so the samples in this study were 4 people. As for what is determined to be the informant in this study are the executors who are considered to have authority, information, and are involved in implementation of the Family Hope Program in Cisitu District of Sumedang Regency. Based on the results of the study, the researchers can describe that the Implementation of the Family Hope Program in Cisitu District of Sumedang Regency can be side to be quite well run according to the success factor of the implementation. But on the other hand there are problems related to facilities, both facilities and infrastructure provided are not yet fully adequate, there are still many shortcomings, this is because the government and the organizers only provide basic facilities.

scholarly journals BIOMORPHOLOGICAL CHARACTERISTIC OF HALORAGACEAE R. BR. FAMILY AND SPECIES, REPRESENTED IN O. FOMIN BOTANICAL GARDEN COLLECTION

2021 ◽  
pp. 30-42
Author(s):  
Mazur T.P. ◽  
Didukh А. Ya. ◽  
Didukh N. Ya.
Keyword(s):  
Native Species ◽  
Life Form ◽  
Vegetative Reproduction ◽  
Botanical Garden ◽  
Common Type ◽  
Clear Correlation ◽  
Insect Pollination ◽  
Natural Conditions ◽  
The Family ◽  
Flooded Areas

The results of the study of biomorphological features of species of the family Haloragaceae are presented. The Haloragaceae family includes 9 genera and about 130 species. Their distribution in natural conditions is discussed. Introduced family members are represented by three genera and six species. By its biomorphological feature they are perennial, rarely annual coastal-aquatic, marshy, aquatic, herbaceous plants. The life form – aerohydatophytes, hemicryptophytes. Native species of the genus Myriophyllum live in fresh, slow-flowing, almost stagnant reservoirs, and several species reach the coastal habitats. They are very sensitive to water temperature and less to light. The most common type of pollination is anemophily (with wind), entomophily (insect pollination) and autogamy (self-pollination) are also observed (very rare). There are individual populations that have the entire sterile flowers. For the members of the genus vegetative reproductions – with stems and turions, are peculiar. There is a clear correlation between the generative and vegetative reproduction of representatives of the genus Myriophyllum, which is related to the peculiarity of reproduction, the less seeds are formed in plants, the more turions are formed. When growing the representatives of the genus Myriophyllum, it is impossible to plant them at the depth at once. First they are kept in flooded areas of the shore, then, gradually, transferred to deeper sections of the reservoir. Myriophyllum thicket play a very important role in the life of freshwater reservoirs: they have the largest concentration of small invertebrates, which are the main food for the inhabitants of the reservoir, fish deposit the eggs on leaves, and later the fry hide there. Plants of the genus Myriophyllum have important fodder value, they are collected for fattening the waterbirds and fish, and also used as silage. The possibilities of their use in the conditions of introduction of open and protected soil are presented. Care and breeding methods have been developed in the moderate zone of Ukraine. Key words: Haloragaceae, range, introduction, biomorphological features.

scholarly journals Makna Simbolik Liang Erong Bagi Masyarakat Tana Toraja

LaGeografia ◽  
2020 ◽  
Vol 19 (1) ◽  
pp. 88
Author(s):  
Indrikal Saputra ◽  
Erman Syarif ◽  
Ibrahim Abbas
Keyword(s):  
Qualitative Research ◽  
Cultural Diversity ◽  
Social Stratification ◽  
Cultural Geography ◽  
Natural Conditions ◽  
National Cultures ◽  
Ethnographic Approach ◽  
The People ◽  
The Family ◽  
Symbolic Meanings

Cultural diversity in Indonesia is something that cannot be denied, which is caused by the geographical conditions of the Indonesian territory. The continuity and development of local culture needs to be preserved and avoided from obstacles. This study aims to determine: 1). Form of liang erong, especially the people of Tana Toraja. 2). The meaning of the carvings of each type of liang erong, especially the Tana Toraja people. This type of research is qualitative research with an ethnographic approach. The data in this study were taken by means of observation, interviews and documentation. The results showed: 1) The forms of Erong burrows found in the Tana Toraja area consisted of boats, mortar, buffalo and pigs. Differences in shape, size, cover form, decoration and orientation are strongly influenced by factors of belief, social stratification, mass and natural conditions around them. 2) The meaning of the erong carvings as a sign of hope for the ancestors, a sign that a person is smart and wise, a sign of courage, nobility and nobility, an appreciation, a meaning as a warning to society, a sign that symbolizes wealth or glory, the meaning that to link property to the house must be in an honest way and need cooperation within the family or community, meaning as a symbol of the greatness of the Toraja nobility. The findings of this study can help the development of disciplines in the field of cultural geography and as an inventory of existing national cultures, especially the diversity of symbolic meanings of erong. 

scholarly journals Aging population and agricultural sustainability issues: case of turkey

New Medit ◽  
2021 ◽  
Vol 20 (4) ◽  
Author(s):  
Keyword(s):  
Agricultural Sector ◽  
Agricultural Sustainability ◽  
Agricultural Activity ◽  
Family Farm ◽  
Agricultural Policies ◽  
Natural Conditions ◽  
Current State ◽  
The Family ◽  
Rural Exodus ◽  
The Impact

Agriculture is a sector that is widely known to be impacted not only by the natural conditions of a country but also by other economic and political sectors. Turkish agriculture, in a context marked in recent years by a rural exodus of young people, marks the vagueness of the current state of the agricultural sector and its future. It is with this in mind that this research was carried out, based on a questionnaire survey of 312 producers in 5 provinces of Turkey, to assess the impact of the ageing of the rural population on the agricultural sector. The results of this study show that with age, producers invest less in agricultural activity, altogether abandoning productions requiring more labour. The possibility of taking over the family farm by descendants plays an important role in the degree of involvement of producers. Through these findings, this study makes it possible to address targeted agricultural policies according to age stages.

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