A relative notion of local completeness in semialgebraic geometry

1989 ◽  
Vol 53 (6) ◽  
pp. 571-584 ◽  
Author(s):  
Roland Huber ◽  
Claus Scheiderer
Keyword(s):  
Semialgebraic Geometry ◽  
Local Completeness ◽  
Relative Notion

A Relative Notion of Natural Generalization

1975 ◽  
Vol 42 (1) ◽  
pp. 46-48 ◽  
Author(s):  
Nathan Stemmer
Keyword(s):  
Natural Generalization ◽  
Relative Notion

LCDD: Detecting Business Process Drifts Based on Local Completeness

2020 ◽  
pp. 1-1
Author(s):  
Leilei Lin ◽  
Lijie Wen ◽  
Li Lin ◽  
Jisheng Pei ◽  
Hedong Yang
Keyword(s):  
Business Process ◽  
Local Completeness

ON THE NOTION OF CANONICAL DERIVATIONS FROM OPEN ASSUMPTIONS AND ITS ROLE IN PROOF-THEORETIC SEMANTICS

2015 ◽  
Vol 8 (2) ◽  
pp. 296-305 ◽  
Author(s):  
NISSIM FRANCEZ
Keyword(s):  
Natural Deduction ◽  
Proof System ◽  
Logical Constants ◽  
Local Completeness ◽  
Definition Of ◽  
The Impact

AbstractThe paper proposes an extension of the definition of a canonical proof, central to proof-theoretic semantics, to a definition of a canonical derivation from open assumptions. The impact of the extension on the definition of (reified) proof-theoretic meaning of logical constants is discussed. The extended definition also sheds light on a puzzle regarding the definition of local-completeness of a natural-deduction proof-system, underlying its harmony.

In quest of higher dimensions – Superstring Theory and the Calabi – Yau manifolds

2021 ◽  
Author(s):  
Deep Bhattacharjee ◽  
Sanjeevan Singha Roy
Keyword(s):  
String Theory ◽  
Higher Dimensions ◽  
Physical Reality ◽  
Space Time ◽  
Superstring Theory ◽  
Real Nature ◽  
Time Space ◽  
Klein Theory ◽  
Relative Notion ◽  
Definition Of

Higher dimensions are impossible to visualize as the size of dimension varies inversely proportional to its level. The more the dimension ranges, the least its size. We are a set of points living in a particular point of space and a particular frame of time. i.e, we live in space-time. The space has more dimensions that meets the human eye. We are living in a world of hyper-space. Our world being a smaller dimension is floating in higher dimensions. The quest for the visually of higher dimensions has been a fantasy to mankind but this aspect of nature is completely locked. We can transform dimensions i.e., from higher to lower dimensions, or from lower to higher dimensions, but only through mathematics. The relative notion of mathematics helps us to do the thing, which is perhaps impossible in the experimental part of physical reality. Humans being an element of 3 Dimensions – length, breath, height can only perceive one higher dimensions, that is space-time. but beyond that the notion of dimension itself changes. The dimensions got curled up in every intersection of the coordinates of space in such a way that the higher dimensions remain stable to us. But in reality it is highly unstable. In the higher dimensions, above 4, the space is tearing apart and joining again spontaneously, but the tearing portion itself covered by 2 dimensional Branes which acts as a stabilizer for the unstable dimensions. Dimensions will get smaller and smaller with the space-time interwoven in it. But at Planks length that is 10^-33 meter, the notion of space-time itself breaks down thereby making impossible for the higher dimensions to coexist along with space. Without space, there will be no identity of any dimension. The space itself is the fabric for the milestone of residing higher dimensions. Imagine our room, which is 3 dimensional. But what is there inside the room. The space and of course the time. Space-time being a totally separate entity is not quite separate when compared with other dimensions because it makes the residing place for the higher dimensions or the hyperspace itself. We all are confined within a lower dimensional world within a randomness of higher dimensions. Time being alike like space is an arrow which has the capability of slicing space into different forms. Thereby taking a snapshot of our every nano-second we vibrate within space-time. As each slice of time represents each slice of space, similarly each slice of space represents each slice of time. The nature of space-time is beyond human consciousness. It is the identity by which we breathe, we play, we survive. It is the whole localization of species that encompasses itself with space thereby making space-time a relative quantity depending upon the reference frame. The only thing that can encompass space-time or even change the relative definition of space-time is the speed, the speed far beyond the speed of light. The more the speed, the less the array of time flows. Space-time being an invisible entity makes the other dimensions visible residing in it only into the level of 3, that is l, b, h. After that there is a infamous structure formed by the curling of higher dimensions called CALABI-YAU manifold. This manifold depicts the usual nature of the dimensional quadrants of the higher order by containing a number of small spherical spheres inside it. The mathematics of string theory is still unable to solve the genus and the containing spheres of the manifold which can be the ultimate quest for the hidden dimensions. Hidden, as, the higher dimensions are hidden from human perspective of macro level but if we probe deeper into the fabric of the space-time of General Relativity then we will find the 5th dimension according to the Kaluza-Klein theory. And if we probe even deeper into it at the perspective of string theory we will be amazed to see the real nature of quantum world. They are so marvelously beautiful, they contain so many forms of higher dimensions ranging from 6 to 10. And even many more of that, but we are still not sure about it where they may exist in a ghost state. After all, the quantum nature is far more beautiful that one can even imagine with a full faze of weirdness.

scholarly journals Some remarks about Mackey convergence

1995 ◽  
Vol 18 (4) ◽  
pp. 659-664
Author(s):  
Józef Burzyk ◽  
Thomas E. Gilsdorf
Keyword(s):  
Convergence Condition ◽  
Locally Convex Spaces ◽  
Local Completeness ◽  
Continuous Seminorm ◽  
Locally Convex ◽  
Convergent Sequences ◽  
Convex Spaces

In this paper, we examine Mackey convergence with respect toK-convergence and bornological (Hausdorff locally convex) spaces. In particular, we prove that: Mackey convergence and local completeness imply propertyK; there are spaces havingK- convergent sequences that are not Mackey convergent; there exists a space satisfying the Mackey convergence condition, is barrelled, but is not bornological; and if a space satisfies the biackey convergence condition and every sequentially continuous seminorm is continuous, then the space is bornological.

scholarly journals ON RANDOM TOPOLOGICAL MARKOV CHAINS WITH BIG IMAGES AND PREIMAGES

2010 ◽  
Vol 10 (01) ◽  
pp. 77-95 ◽  
Author(s):  
MANUEL STADLBAUER
Keyword(s):  
Markov Chains ◽  
Hölder Continuous ◽  
Frobenius Theorem ◽  
Relative Version ◽  
Relative Notion

We introduce a relative notion of the "big images and preimages"-property for random topological Markov chains. This condition then implies that a relative version of the Ruelle–Perron–Frobenius theorem holds with respect to summable and locally Hölder continuous potentials.

Towards a Stylistics of the Modes of Ostension

1993 ◽  
Vol 18 (3) ◽  
pp. 206-214
Author(s):  
Patricia Dorval
Keyword(s):  
Performance Analysis ◽  
Essential Feature ◽  
Visual Elements ◽  
Relative Notion ◽  
Stage Properties

Patrice Pavis offers an excellent analysis of ostension in his dictionary of theatre. Ostension (Latin ostendere, to show), he writes, is an essential feature of performance. The expression ‘theatrical ostension’ calls to mind quite naturally the notions of set, stage properties, body motions, and so on. In addition to purely visual elements, ostension also refers to verbal signals. But ostension is rarely total; one often sees only fragments of the dramatic world. Ostension is a relative notion modulated by elements that are not shown or not clearly shown. Synecdoche (the part for the whole) is one possible mode of ostension: the director suggests a complex reality by a characteristic detail: a crown for the King … Performance often resorts to metaphor: one element conjures up another. Pavis concludes that a stylistics or rhetoric of ostension would be a most precious tool for performance analysis.

scholarly journals AFTER THE ‘AFFLUENT SOCIETY’: COST OF LIVING IN THE PAPUA NEW GUINEA HIGHLANDS ACCORDING TO TIME AND ENERGY EXPENDITURE–INCOME

2002 ◽  
Vol 34 (4) ◽  
pp. 433-461 ◽  
Author(s):  
PAUL SILLITOE
Keyword(s):  
Papua New Guinea ◽  
New Guinea ◽  
Negative Energy ◽  
Cost Of Living ◽  
Papua New Guinea Highlands ◽  
Relative Notion ◽  
Energy Gains ◽  
The Cost ◽  
Time And Energy ◽  
Gains And Losses

What is the cost of living in the Papua New Guinea highlands? An answer is sought using a time and energy accounting approach. The subsistence regime of Wola-speaking highlanders, the subjects of this investigation, comprises three components. The principal one is horticulture: people clearing gardens from forest and grassland, with tuberous crops predominating, notably sweet potato. The second component comprises animal rearing, notably of domestic pigs. The third, and least important, is hunting and gathering for food in the forest. The calculated returns on investments in these subsistence domains vary considerably. Gardens return in their crops between ten and fifteen times the energy expended in cultivation. Pigs may also give a good return, of four to five times the energy invested in rearing them, if slaughtered when adult, but people regularly keep animals for years and may incur negative energy returns on their labour investments. This relates to the high cultural premium put on pigs. Foraging for food is also energetically costly, the Wola expending four times more energy on these activities than they gain in return from the food they secure. This analysis of energy gains and losses challenges the relative notion of affluence as applied to foragers, by reviewing it in the comparative context of subsistence horticulture.

scholarly journals Local completeness, Pareto efficiency and Mackey Bishop-Phelps cones

2019 ◽  
Vol 6 (1) ◽  
pp. 19-25
Author(s):  
Elvio Accinelli ◽  
◽  
Armando García
Keyword(s):  
Pareto Efficiency ◽  
Local Completeness
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