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Preface
, 2008
"... These are lecture notes for AME60634: Intermediate Heat Transfer, a second course on heat transfer for undergraduate seniors and beginning graduate students. At this stage the student can begin to apply knowledge of mathematics and computational methods to the problems of heat transfer. Thus, in add ..."
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These are lecture notes for AME60634: Intermediate Heat Transfer, a second course on heat transfer for undergraduate seniors and beginning graduate students. At this stage the student can begin to apply knowledge of mathematics and computational methods to the problems of heat transfer. Thus, in addition to some undergraduate knowledge of heat transfer, students taking this course are expected to be familiar with vector algebra, linear algebra, ordinary differential equations, particle and rigidbody dynamics, thermodynamics, and integral and differential analysis in fluid mechanics. The use of computers is essential both for the purpose of computation as well as for display and visualization of results. At present these notes are in the process of being written; the student is encouraged to make extensive use of the literature listed in the bibliography. The students are also expected to attempt the problems at the end of each chapter to reinforce their learning. I will be glad to receive comments on these notes, and have mistakes brought to my attention.
Computational Processes, Observers and Turing Incompleteness
"... We propose a formal definition of Wolfram’s notion of computational process based on iterated transducers together with a weak observer, a model of computation that captures some aspects of physicslike computation. These processes admit a natural classification into decidable, intermediate and comp ..."
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We propose a formal definition of Wolfram’s notion of computational process based on iterated transducers together with a weak observer, a model of computation that captures some aspects of physicslike computation. These processes admit a natural classification into decidable, intermediate and complete, where intermediate processes correspond to recursively enumerable sets of intermediate degree in the classical setting. It is shown that a standard finite injury priority argument will not suffice to establish the existence of an intermediate computational process.
Mapping Virtual Selfassembly Rules to Physical Systems
"... Abstract. Throughout nature, decentralized components emerge into complex forms. It is through their interaction that components, governed by simple rules, selfassemble to create specific entities. The programs constituting these entities are based on the rules present in a given system and are exe ..."
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Abstract. Throughout nature, decentralized components emerge into complex forms. It is through their interaction that components, governed by simple rules, selfassemble to create specific entities. The programs constituting these entities are based on the rules present in a given system and are executed on the physically and chemically encoded information comprising the components and their environment. A threelevel approach is presented here which encompasses specifying a set of rules, modeling these rules to determine the outcome of a specific system in software, and translating to a physical system based on the set of rules present. The benefit of this approach is that no knowledge of the end result is required to create the physical system, mirroring the bottomup process in nature. Five experiments, based on an example implementation of this approach, show that the translated physical systems selfassemble into the desired entities achieved by the simulations. These successful results demonstrate how this threelevel approach is used for mapping virtual selfassembly rules to physical systems. 1
Using Shape Grammar to Derive Cellular Automata Rule Patterns
"... This paper shows how shape grammar can be used to derive cellular automata (CA) rules. Searching the potentially astronomical space of CA rules for relevance to a particular context has frustrated the wider application of CA as powerful computing systems. An approach is offered using shape grammar t ..."
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This paper shows how shape grammar can be used to derive cellular automata (CA) rules. Searching the potentially astronomical space of CA rules for relevance to a particular context has frustrated the wider application of CA as powerful computing systems. An approach is offered using shape grammar to visually depict the desired conditional rules of a behavior or system architecture (a formfunction) under investigation, followed by a transcription of these rules as patterns into CA. The combination of shape grammar for managing the input and CA for managing the output brings together the human intuitive approach (visualization of the abstract) with a computational system that can generate large design solution spaces in a tractable manner. 1.
Emergence and Evolution of Meaning: The General Definition of Information (GDI) Revisiting Program—Part I: The Progressive Perspective: TopDown
, 2012
"... information ..."
The Last Scientific Revolution
"... Critically growing problems of fundamental science organisation and content are analysed with examples from physics and emerging interdisciplinary fields. Their origin is specified and new science structure (organisation and content) is proposed as a unified solution. 1. The End of Lie, or What's Wr ..."
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Critically growing problems of fundamental science organisation and content are analysed with examples from physics and emerging interdisciplinary fields. Their origin is specified and new science structure (organisation and content) is proposed as a unified solution. 1. The End of Lie, or What's Wrong With Science Whereas today's spectacular technologic progress seems to strongly confirm the utility of underlying scientific activities, the modern state of fundamental science itself shows catastrophically accumulating degradation signs, including both knowledge content and organisation/practice [152]. That striking contradiction implies that we are close to a deeply rooted change in the whole system of human knowledge directly involving its fundamental nature and application quality rather than only superficial, practically based influences of empirical technology, social tendencies, etc. Science problems, in their modern form, have started appearing in the 20 th century, together with accelerated science development itself [5358], but their current culmination and now already longlasting, welldefined crisis clearly designate the advent of the biggest ever scientific revolution involving not only serious changes in special knowledge content but also its qualitatively new character, meaning and
How to acknowledge hypercomputation?
, 2007
"... We discuss the question of how to operationally validate whether or not a “hypercomputer” performs better than the known discrete computational models. ..."
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We discuss the question of how to operationally validate whether or not a “hypercomputer” performs better than the known discrete computational models.
Emergence of spatial structure from causal sets
, 905
"... Abstract. There are numerous indications that a discrete substratum underlies continuum spacetime. Any fundamentally discrete approach to quantum gravity must provide some prescription for how continuum properties emerge from the underlying discreteness. The causal set approach, in which the fundame ..."
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Abstract. There are numerous indications that a discrete substratum underlies continuum spacetime. Any fundamentally discrete approach to quantum gravity must provide some prescription for how continuum properties emerge from the underlying discreteness. The causal set approach, in which the fundamental relation is based upon causality, finds it easy to reproduce timelike distances, but has a more difficult time with spatial distance, due to the unique combination of Lorentz invariance and discreteness within that approach. We describe a method to deduce spatial distances from a causal set. In addition, we sketch how one might use an important ingredient in deducing spatial distance, the ‘nlink’, to deduce whether a given causal set is likely to faithfully embed into a continuum spacetime.