Basic Probabilities. Discrete Spaces

1989 ◽  
pp. 3-16
Author(s):  
T. Cacoullos
Keyword(s):  
Discrete Spaces

St Paul's Cathedral Precinct in Early Modern Literature and Culture

2020 ◽  
Author(s):  
Roze Hentschell
Keyword(s):  
Early Modern ◽  
Early Modern Period ◽  
Early Modern Literature ◽  
Modern Literature ◽  
Historical Documents ◽  
Spatial Practices ◽  
Performance Space ◽  
Modern Period ◽  
Discrete Spaces

St Paul’s Cathedral Precinct in Early Modern Literature and Culture: Spatial Practices is a study of London’s cathedral, its immediate surroundings, and its everyday users in early modern literary and historical documents and images, with a special emphasis on the late sixteenth and early seventeenth centuries. Hentschell discusses representations of several of the seemingly discrete spaces of the precinct to reveal how these spaces overlap with and inform one another spatially. She argues that specific locations—including the Paul’s nave (also known as Paul’s Walk), Paul’s Cross pulpit, the bookshops of Paul’s Churchyard, the College of the Minor Canons, Paul’s School, the performance space for the Children of Paul’s, and the fabric of the cathedral itself—should be seen as mutually constitutive and in a dynamic, ever-evolving state. To support this argument, she attends closely to the varied uses of the precinct, including the embodied spatial practices of early modern Londoners and visitors, who moved through the precinct, paused to visit its sacred and secular spaces, and/or resided there. This includes the walkers in the nave, sermon-goers, those who shopped for books, the residents of the precinct, the choristers—who were also schoolboys and actors—and those who were devoted to church repairs and renovations. By attending to the interactions between place and people and to the multiple stories these interactions tell—Hentschell attempts to animate St Paul’s and deepen our understanding of the cathedral and precinct in the early modern period.

scholarly journals On discrete pseudo-differential operators and equations

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 975-984 ◽  
Author(s):  
Vladimir Vasilyev
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Differential Operators ◽  
Difference Operators ◽  
Pseudo Differential Operators ◽  
Discrete Spaces

We introduce discrete pseudo-differential operators in appropriate discrete Sobolev-Slobodetskii spaces. Using discrete Fourier transform and factorization concept we study invertibility of such operators in some discrete spaces. Some examples for discrete Calderon-Zygmund operators and difference operators are considered.

Topologies on Discrete Spaces

1981 ◽  
pp. 59-66
Author(s):  
J. M. Chassery ◽  
M. I. Chenin
Keyword(s):  
Discrete Spaces

scholarly journals Biodiversity and climate change adaptation through non-discrete architectural spaces and architectures

2018 ◽  
Vol 11 (4) ◽  
Author(s):  
Marie Davidova ◽  
Dana Rakova
Keyword(s):  
Climate Change ◽  
Climate Change Adaptation ◽  
Agricultural Land ◽  
Climate Extremes ◽  
Climate Extreme ◽  
Research Survey ◽  
Recent Climate ◽  
Systemic Process ◽  
Discrete Spaces ◽  
Systemic Design

The research claims that traditions are not static. They develop and adapt based on the present situation. Due to the recent climate extremes coming to formally mild climate locations, their architectures can learn from traditional ones from more climate extreme locations. The present systemic design study on semi-interior, ‘non-discrete spaces’ (Hensel, 2013; Hensel & Turko, 2015), of Norwegian traditional architectures, so called ‘svalgangs’ and ‘skuts’ examine its reuse for today climate change adaptation and support of biodiversity that is currently decreasing. Our agricultural land become so toxic, that its species are recently moving and adapting for life in the cities. The discussed traditional spaces offer various boundary penetration of its surrounding environment while providing mediation of its biotic and abiotic agency. These do not cover only anthropocentric benefits for its users such as light and climate comfort but also offer opportunities of communication with other species or their sheltering. This practitioners’ historical research survey motivated by design co-developes its own systemic process based methodology Systemic Approach to Architectural Performance that originates from ‘Systems Oriented Design’ (Sevaldson, 2013b) and ‘Time Based Design’ (Sevaldson, 2004). Where, this ‘non-anthropocentric architecture’ (Hensel, 2012) is in over-evolving co-design with ambient environment’s abiotic and biotic agents, including humans.

UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM

1999 ◽  
Vol 09 (03) ◽  
pp. 395-414 ◽  
Author(s):  
C. BERNARDI ◽  
Y. MADAY
Keyword(s):  
Error Estimate ◽  
Error Estimates ◽  
Best Approximation ◽  
Stokes Problem ◽  
Optimal Error Estimate ◽  
Optimal Error ◽  
Discretization Parameter ◽  
The Best Approximation ◽  
Discrete Spaces ◽  
Spectral Discretization

In standard spectral discretizations of the Stokes problem, error estimates on the pressure are slightly less accurate than the best approximation estimates, since the constant of the Babuška–Brezzi inf–sup condition is not bounded independently of the discretization parameter. In this paper, we propose two possible discrete spaces for the pressure: for each of them, we prove a uniform inf–sup condition, which leads in particular to an optimal error estimate on the pressure.

scholarly journals Spaces having no large dyadic subspace

1970 ◽  
Vol 2 (2) ◽  
pp. 261-265
Author(s):  
Jason Gait
Keyword(s):  
Metric Spaces ◽  
Topological Groups ◽  
Compact Metric Spaces ◽  
Interesting Corollary ◽  
Discrete Spaces ◽  
Continuous Images

Gillman-Henriksen have defined a class of spaces, containing the discrete spaces and their Stone-Čech compactifications, called F'-spaces. The dyadic spaces are the continuous images of products of finite discrete spaces – a class which contains the compact metric spaces and all compact topological groups. In this paper it is shown that F'-spaces have no infinite dyadic sutspaces and, almost always, no dyadic compactifications. An interesting corollary is that if βX \ X is dyadic, then X is pseudocompact.

Regularization on Discrete Spaces

2005 ◽  
pp. 361-368 ◽  
Author(s):  
Dengyong Zhou ◽  
Bernhard Schölkopf
Keyword(s):  
Discrete Spaces
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