scholarly journals Determinantal variety and normal embedding

2017 ◽  
Vol 10 (01) ◽  
pp. 27-34 ◽  
Author(s):  
K. Katz ◽  
M. Katz ◽  
D. Kerner ◽  
Y. Liokumovich
Keyword(s):  
Metric Space ◽  
Space Structure ◽  
The Other ◽  
Intrinsic Metric ◽  
Lipschitz Equivalence ◽  
Other Hand ◽  
Determinantal Variety ◽  
Conical Structure ◽  
Positive Determinant

The space [Formula: see text] of matrices of positive determinant inherits an extrinsic metric space structure from [Formula: see text]. On the other hand, taking the infimum of the lengths of all paths connecting a pair of points in [Formula: see text] gives an intrinsic metric. We prove bi-Lipschitz equivalence between intrinsic and extrinsic metrics on [Formula: see text], exploiting the conical structure of the stratification of the space of [Formula: see text] matrices by rank.

scholarly journals Fuzzy b-Metric Spaces

2016 ◽  
Vol 11 (2) ◽  
pp. 273 ◽  
Author(s):  
Sorin Nădăban
Keyword(s):  
Control Theory ◽  
Computer Science ◽  
Metric Space ◽  
Metric Spaces ◽  
Denotational Semantics ◽  
Decomposition Theorem ◽  
The Other ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Other Hand

Metric spaces and their various generalizations occur frequently in computer science applications. This is the reason why, in this paper, we introduced and studied the concept of fuzzy b-metric space, generalizing, in this way, both the notion of fuzzy metric space introduced by I. Kramosil and J. Michálek and the concept of b-metric space. On the other hand, we introduced the concept of fuzzy quasi-bmetric space, extending the notion of fuzzy quasi metric space recently introduced by V. Gregori and S. Romaguera. Finally, a decomposition theorem for a fuzzy quasipseudo- b-metric into an ascending family of quasi-pseudo-b-metrics is established. The use of fuzzy b-metric spaces and fuzzy quasi-b-metric spaces in the study of denotational semantics and their applications in control theory will be an important next step.

Shape morphisms and components of movable compacta

1988 ◽  
Vol 103 (3) ◽  
pp. 481-486
Author(s):  
José M. R. Sanjurjo
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
The Other ◽  
Compact Metric Space ◽  
Dimension Zero ◽  
Compact Metric Spaces ◽  
Inductive Dimension ◽  
Other Hand ◽  
Small Inductive Dimension ◽  
The Relationship

The relationship between components and movability for compacta (i.e. compact metric spaces) was described by Borsuk in [5]. Borsuk proved that if each component of a compactum X is movable, then so is X. More recently Segal and Spiez[19], motivated by results of Alonso Morón[1], have constructed a (non-compact) metric space X of small inductive dimension zero and such that X is non-movable. The construction of Segal and Spiez was based on the famous space of P. Roy [16]. On the other hand, K. Borsuk gave in [5] an example of a movable compactum with non-movable components. The structure of such compacta was studied by Oledzki in [15], where he obtained an interesting result stating that if X is a movable compactum then the set of movable components of X is dense in the space of components of X. Oledzki's result was later strengthened by Nowak[14], who proved that if all movable components of a movable compactum X are of deformation dimension at most n, then so are the non-movable components and the compactum X itself.

scholarly journals Resistance & Permanence of Green Urban Systems in the Globalization Age

2017 ◽  
Author(s):  
Rita Occhiuto
Keyword(s):  
New York ◽  
Public Space ◽  
Spatial Coherence ◽  
Space Structure ◽  
Urban Environments ◽  
The Other ◽  
Urban Systems ◽  
Morphological Studies ◽  
Other Hand ◽  
The One

Rita Occhiuto Faculté d’Architecture. Université de Liège, ULG. 1, Rue Courtois 4000 Liège (BE) Tél. +3242217900   e-mail : [email protected] Keywords: public space, park system, green and water infrastructure, morphological green writings, landscape memory The rapid transformation and the trivialization of landscapes in Wallonia (BE), require reformulating tools and objectives of morphological studies. Built fabrics and landscapes show the effects of abandoning or losing interest in the interrelations between natural and human actions. This contribution focuses on studies of cities and territories that have ceased to be the object of spatial policies attentive to the relationship between the need to live, maintain or care for green or natural spaces. After the systematic reduction of urban environments to simple green covers, morphological reading allows the recognition of traces of park systems or green infrastructures, whose communities often do not remember. The research's focus has shifted from the building to the green space structure. This displacement of interest makes it possible to find commons cultures that have acted on the territory of Liège (industrial city) on the one hand, through the building’s extension and on the other hand, through the project of forests, walks, squares, parks and public gardens. Now, these fragmented places become the main resource for reorganizing natural and human systems in order to offer new - social and spatial - coherence for tomorrow. Thus the historical green systems become a strong structuring link which serves to seek new dialectics of balance between existing fabrics and green systems. This system’s regeneration stands, on the one hand, to the hybridization of materials - water, green and buildings - and, on the other hand, to the physical and mental memory of the inhabited environments that populations keep. Green systems impose themselves as powerful vectors for the construction of new socio-spatial balances of cities and territories of globalization, as in the study case for the landscape systems in Liège and for the water and landscapes infrastructure in Chaudfontaine.References Foxley, A. (2010), Distance & engagement. Walking, thinking and making landscape. Vogt landscape architects, Lars Müller Publishers Cronon,W., Coll., Uncommon ground. Rethinking the Human Place in Nature. W.W.Norton & Company New York/London McHarg, I.(1969), Design with Nature, 1th, New York Spirn, A.W. (1994), The granite garden. Urban Nature and Human Design, ed. Basic Book Ravagnati, C. (2012), L’invenzione del Territorio. L’atlante inedito di Saverio Muratori, ed. Franco Angeli, Milano 

scholarly journals Some Fixed Point Results for Perov-Ćirić-Prešić Type F-Contractions with Application

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Abdolsattar Gholidahneh ◽  
Shaban Sedghi ◽  
Vahid Parvaneh
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Nonlinear Operator ◽  
The Other ◽  
Contractive Mappings ◽  
Other Hand ◽  
Operator Systems

Ćirić and Prešić developed the concept of Prešić contraction to Ćirić-Prešić type contractive mappings in the background of a metric space. On the other hand, Altun and Olgun introduced Perov type F-contractions. In this paper, we extend the concept of Ćirić-Prešić contractions to Perov-Ćirić-Prešić type F-contractions. Our results modify some known ones in the literature. To support our main result, an example and an application to nonlinear operator systems are presented.

A study of cometary eruptions through OH radio-lines

1999 ◽  
Vol 173 ◽  
pp. 249-254
Author(s):  
A.M. Silva ◽  
R.D. Miró
Keyword(s):  
Short Duration ◽  
Growth Curves ◽  
The Other ◽  
Initial Mass ◽  
Radio Lines ◽  
Other Hand ◽  
Sudden Rise

AbstractWe have developed a model for theH2OandOHevolution in a comet outburst, assuming that together with the gas, a distribution of icy grains is ejected. With an initial mass of icy grains of 108kg released, theH2OandOHproductions are increased up to a factor two, and the growth curves change drastically in the first two days. The model is applied to eruptions detected in theOHradio monitorings and fits well with the slow variations in the flux. On the other hand, several events of short duration appear, consisting of a sudden rise ofOHflux, followed by a sudden decay on the second day. These apparent short bursts are frequently found as precursors of a more durable eruption. We suggest that both of them are part of a unique eruption, and that the sudden decay is due to collisions that de-excite theOHmaser, when it reaches the Cometopause region located at 1.35 × 105kmfrom the nucleus.

Closing the GAP—A 5Å Scanning Microscope

1969 ◽  
Vol 27 ◽  
pp. 6-7
Author(s):  
A. V. Crewe
Keyword(s):  
Normal Form ◽  
The Other ◽  
Resolving Power ◽  
Scanning Microscope ◽  
Conventional Microscope ◽  
Other Hand ◽  
Closing The Gap ◽  
Thermal Sources ◽  
Better Than ◽  
Transmission Microscope

We have become accustomed to differentiating between the scanning microscope and the conventional transmission microscope according to the resolving power which the two instruments offer. The conventional microscope is capable of a point resolution of a few angstroms and line resolutions of periodic objects of about 1Å. On the other hand, the scanning microscope, in its normal form, is not ordinarily capable of a point resolution better than 100Å. Upon examining reasons for the 100Å limitation, it becomes clear that this is based more on tradition than reason, and in particular, it is a condition imposed upon the microscope by adherence to thermal sources of electrons.

Life Beyond 1MeV

1980 ◽  
Vol 38 ◽  
pp. 30-33
Author(s):  
K.H. Westmacott
Keyword(s):  
Electron Microscopy ◽  
Past Experience ◽  
The Other ◽  
Good Case ◽  
Other Hand ◽  
The U.S

Life beyond 1MeV – like life after 40 – is not too different unless one takes advantage of past experience and is receptive to new opportunities. At first glance, the returns on performing electron microscopy at voltages greater than 1MeV diminish rather rapidly as the curves which describe the well-known advantages of HVEM often tend towards saturation. However, in a country with a significant HVEM capability, a good case can be made for investing in instruments with a range of maximum accelerating voltages. In this regard, the 1.5MeV KRATOS HVEM being installed in Berkeley will complement the other 650KeV, 1MeV, and 1.2MeV instruments currently operating in the U.S. One other consideration suggests that 1.5MeV is an optimum voltage machine – Its additional advantages may be purchased for not much more than a 1MeV instrument. On the other hand, the 3MeV HVEM's which seem to be operated at 2MeV maximum, are much more expensive.

Can the Academic Self-Concept be Positive and Realistic?

2005 ◽  
Vol 19 (3) ◽  
pp. 129-132 ◽  
Author(s):  
Reimer Kornmann
Keyword(s):  
Academic Performance ◽  
Opposite Effect ◽  
Self Esteem ◽  
Point Of View ◽  
The Other ◽  
Self Concept ◽  
High Ability ◽  
Self Image ◽  
Other Hand

Summary: My comment is basically restricted to the situation in which less-able students find themselves and refers only to literature in German. From this point of view I am basically able to confirm Marsh's results. It must, however, be said that with less-able pupils the opposite effect can be found: Levels of self-esteem in these pupils are raised, at least temporarily, by separate instruction, academic performance however drops; combined instruction, on the other hand, leads to improved academic performance, while levels of self-esteem drop. Apparently, the positive self-image of less-able pupils who receive separate instruction does not bring about the potential enhancement of academic performance one might expect from high-ability pupils receiving separate instruction. To resolve the dilemma, it is proposed that individual progress in learning be accentuated, and that comparisons with others be dispensed with. This fosters a self-image that can in equal measure be realistic and optimistic.

Stories and the Self

2020 ◽  
Vol 32 (2) ◽  
pp. 47-58 ◽  
Author(s):  
Stefan Krause ◽  
Markus Appel
Keyword(s):  
Meta Analysis ◽  
The Self ◽  
The Other ◽  
Lower Degree ◽  
Contrast Effects ◽  
Self Perception ◽  
Self Perceptions ◽  
Other Hand ◽  
The One ◽  
Implicit And Explicit

Abstract. Two experiments examined the influence of stories on recipients’ self-perceptions. Extending prior theory and research, our focus was on assimilation effects (i.e., changes in self-perception in line with a protagonist’s traits) as well as on contrast effects (i.e., changes in self-perception in contrast to a protagonist’s traits). In Experiment 1 ( N = 113), implicit and explicit conscientiousness were assessed after participants read a story about either a diligent or a negligent student. Moderation analyses showed that highly transported participants and participants with lower counterarguing scores assimilate the depicted traits of a story protagonist, as indicated by explicit, self-reported conscientiousness ratings. Participants, who were more critical toward a story (i.e., higher counterarguing) and with a lower degree of transportation, showed contrast effects. In Experiment 2 ( N = 103), we manipulated transportation and counterarguing, but we could not identify an effect on participants’ self-ascribed level of conscientiousness. A mini meta-analysis across both experiments revealed significant positive overall associations between transportation and counterarguing on the one hand and story-consistent self-reported conscientiousness on the other hand.

Don’t Put Me in This Group

2019 ◽  
Vol 50 (2) ◽  
pp. 80-93
Author(s):  
Jort de Vreeze ◽  
Christina Matschke
Keyword(s):  
Positive Emotions ◽  
Negative Emotions ◽  
Negative Information ◽  
The Self ◽  
The Other ◽  
Other Hand ◽  
Group Memberships

Abstract. Not all group memberships are self-chosen. The current research examines whether assignments to non-preferred groups influence our relationship with the group and our preference for information about the ingroup. It was expected and found that, when people are assigned to non-preferred groups, they perceive the group as different to the self, experience negative emotions about the assignment and in turn disidentify with the group. On the other hand, when people are assigned to preferred groups, they perceive the group as similar to the self, experience positive emotions about the assignment and in turn identify with the group. Finally, disidentification increases a preference for negative information about the ingroup.

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