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EN
This essay's content is rendered by the titles of the successive sections. 1. Effective solvability versus intuitive solvability. — 2. Decidability, i.e. effective solvability, in predicate logic. The speedup phenomenon — 3. Contributions of the second-order logic to the problems of solvability — 4. The infinite progress of science in the light of Turing's idea of the oracle. The term "oracle" is a technical counterpart of the notion of mathematical intuition. A more detailed summary can be obtained through juxtaposing the textboxes labelled with letters A...F. Conclusion: in the progress of science an essential role is played by the feedback between intellectual intuitions (intuitive solvability) and algorithmic procedures (effective solvability).
2
Content available remote Detal architektury. Detal natury
PL
Natura była od zawsze inspiracją dla architektury i detalu architektonicznego. W artykule relacja między tymi dziedzinami jest rozważana w kontekście wieloskalowej struktury detalu natury i detalu architektury oraz ich algorytmicznych właściwości. Wysunięty będzie postulat unifikacji technicznego-purystycznego- modernistycznego pojęcia detalu z estetycznym-bogatym-tradycyjnym znaczeniem ornamentu - w ramach obliczeniowego potencjału architektonicznej technologii dziś.
EN
The nature has been an inspiration for architecture and architectural detail ever since. In the paper those relations are being explored in terms of multi-scalar structure of a detail of nature and a detail of architecture, and the algorithmic properties of both. It is being argued for unification of technical-purist-modernist notion of detail with aesthetical-rich-traditional sense of ornament - within computational potential of the architectural technology of today.
EN
The paper presents an integrated algorithm for water management analysis enabling the retrofit of existing water network structures both within the feeding subsystem and the treatment subsystem including water regeneration of selected streams. The aim of the developed algorithm is to minimise the fresh water use and wastewater generation. The algorithm worked out by authors consists of three stages. The first and the second stage concerns the water streams allocation within the feeding subsystem and the third one is related to water allocation within the treatment subsystem. The first stage determines possibilities of direct reuse and the second stage defines possibilities of mixed streams reuse applying the ,,nearest source concept". Within the treatment subsystem possibilities of water regeneration of the streams selected according to the pinch point determined analytically are analysed. The third stage includes the selection of suitable treatment options for the specified streams. An advantage of the algorithm is the possibility of applying it to both contaminant-transfer and non contaminant-transfer processes. It also includes mixing options giving the minimal water use. By expanding analysis into the treatment subsystem and including water regeneration possibilities derives benefit in additional water savings can be obtained.
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