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"Towers"
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The Leaning Tower of Pisa
\"Would you be surprised to find out that the Leaning Tower of Pisa wasn't supposed to lean? It started to lean while it was being built. Find out why the tower leans, as well as some of the crazy ideas people had for fixing it!\"--Publisher's description.
Book
Growth of in towers for isogenous curves
We study the growth of
$\\unicode[STIX]{x0428}$
and
$p^{\\infty }$
-Selmer groups for isogenous abelian varieties in towers of number fields, with an emphasis on elliptic curves. The growth types are usually exponential, as in the ‘positive
${\\it\\mu}$
-invariant’ setting in the Iwasawa theory of elliptic curves. The towers we consider are
$p$
-adic and
$l$
-adic Lie extensions for
$l\\neq p$
, in particular cyclotomic and other
$\\mathbb{Z}_{l}$
-extensions.
Journal Article
Reconstruction of the tower in defensive walls in Świebodzice
Fortification of Świebodzice, as presented in the eighteenthcentury drawings of Friedrich Bernhard Wernher, comprised one ring of walls, three gates in the form of towers with a passage on the ground floor, a rectangular gatehouse matching the height of the adjacent wall, and at least 8 rectangular towers. The entire fortification was surrounded by a moat. These architectural forms are in accordance with the oldest view over the city presented in the seventeenth-century oil painting [1]. The walls were crowned with rectangular battlements. Elements known from iconography were confirmed during research and inventory works initiated in 2007. The project, which was an aim of revitalizing the part of defensive walls along Piłsudskiego street in Świebodzice, was not only to make this relic accessible to the public (there is an observation deck in the defensive tower), but also to repair deformations formed as a result of the first restoration and because of the didactic exposition of wooden elements in the wall crowning (these elements were popular in medieval fortifications).
Journal Article
Goodwillie Approximations to Higher Categories
We construct a Goodwillie tower of categories which interpolates between the category of pointed spaces and the category of spectra.
This tower of categories refines the Goodwillie tower of the identity functor in a precise sense. More generally, we construct such a
tower for a large class of
eBook
Importance and vulnerability of the world’s water towers
Mountains are the water towers of the world, supplying a substantial part of both natural and anthropogenic water demands
1
,
2
. They are highly sensitive and prone to climate change
3
,
4
, yet their importance and vulnerability have not been quantified at the global scale. Here we present a global water tower index (WTI), which ranks all water towers in terms of their water-supplying role and the downstream dependence of ecosystems and society. For each water tower, we assess its vulnerability related to water stress, governance, hydropolitical tension and future climatic and socio-economic changes. We conclude that the most important (highest WTI) water towers are also among the most vulnerable, and that climatic and socio-economic changes will affect them profoundly. This could negatively impact 1.9 billion people living in (0.3 billion) or directly downstream of (1.6 billion) mountainous areas. Immediate action is required to safeguard the future of the world’s most important and vulnerable water towers.
The worldwide distribution and water supply of water towers (snowy or glacierized mountain ranges) is indexed, showing that the most important water towers are also the most vulnerable to socio-economic and climate-change stresses, with huge potential negative impacts on populations downstream.
Journal Article
Comparative study of wind and ice loads on telecommunication towers in hilly terrain
Telecommunication structures are usually defined as steel lattice towers on which they mount microwave dish antennas. These are slender, tall, highly optimised structures and the loading conditions that control their performance are extreme cold, snowfall, and strong winds. Strong winds combined with ice accumulation on the structure's members and dishes are the primary reasons of collapse. This comparative study is to investigate the effect of ice loads combined with wind load analysis of triangular tower configuration comprising of height 60m located in hilly terrain (specially dealt with cold region) having wind zones 39mps and 55mps. By referring specialized standards for analysis of lattice towers, reduction of wind load shall be considered when ice loads are accounted for analysis. Initial design is performed for full wind load of the tower configuration through space truss analysis using STAAD.Pro V22 software and same is checked with combined wind and ice loads as per appropriate standards. A comparison statement is derived on effect of ice loads on analysis of structure – leg forces, bracing forces and deflection for tower configuration considered in parametric study.
Journal Article