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365
A curious example of triangulated-equivalent model categories which are not Quillen equivalent
- GEOM. TOPOL
, 2009
"... The paper gives a new proof that the model categories of stable modules for the rings Z=p 2 and Z=pΠ=. 2 / are not Quillen equivalent. The proof uses homotopy endomorphism ring spectra. Our considerations lead to an example of two differential graded algebras which are derived equivalent but whose ..."
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Cited by 4 (0 self)
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The paper gives a new proof that the model categories of stable modules for the rings Z=p 2 and Z=pΠ=. 2 / are not Quillen equivalent. The proof uses homotopy endomorphism ring spectra. Our considerations lead to an example of two differential graded algebras which are derived equivalent but whose
A curious example of two model categories and some associated differential graded algebras
, 2008
"... The paper gives a new proof that the model categories of stable modules for the rings Z/p² and Z/p[ɛ]/(ɛ²) are not Quillen equivalent. The proof uses homotopy endomorphism ring spectra. Our considerations lead to an example of two differential graded algebras which are derived equivalent but whose ..."
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Cited by 2 (1 self)
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The paper gives a new proof that the model categories of stable modules for the rings Z/p² and Z/p[ɛ]/(ɛ²) are not Quillen equivalent. The proof uses homotopy endomorphism ring spectra. Our considerations lead to an example of two differential graded algebras which are derived equivalent
Curious Places: Curious, Proactive, Adaptive Built Environments
"... Abstract. Advances in intelligent agent research, such as curious agents and motivated learning agents, make possible a new kind of intelligent environment: a curious place. Previously, intelligent envi-ronment research has focused on developing reactive and interactive systems that control sensor a ..."
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Cited by 1 (1 self)
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-long adaptabil-ity and enhancement of human activities. An example of a curious place application is discussed with emphasis on its adaptability and its potential to enhance human experiences. 1
Curiouser and curiouser: The link between incompressibility and complexity
- In Proc. Computability in Europe (CiE), LNCS
, 2012
"... Abstract. This talk centers around some audacious conjectures that attempt to forge firm links between computational complexity classes and the study of Kolmogorov complexity. More specifically, let R denote the set of Kolmogorov-random strings. Let BPP denote the class of problems that can be solve ..."
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Cited by 6 (2 self)
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are not only audacious; they are obviously false! R is not a decidable set, and thus it is absurd to suggest that the class of problems reducible to it constitutes a complexity class. The absurdity fades if, for example, we interpret “NP R ” to be “the class of problems that are NP-Turing reducible to R
CURIOUS CONGRUENCES FOR FIBONACCI NUMBERS
, 2009
"... In this paper we establish some sophisticated congruences involving central binomial coefficients and Fibonacci numbers. For example, we show that if p ̸ = 2, 5 is a prime then and p−1 X k=0 p−1 X k=0 ..."
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Cited by 2 (1 self)
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In this paper we establish some sophisticated congruences involving central binomial coefficients and Fibonacci numbers. For example, we show that if p ̸ = 2, 5 is a prime then and p−1 X k=0 p−1 X k=0
THE CURIOUS LEGACY OF GMO AGRICULTURE
"... The 10-year history of commercialized GM field crop agriculture has exposed a bizarre dichotomy: a) a failed technology, b) which exists only by externalizing costs of production to everyone else. To a degree unparalleled by any other agriculture technology, GM has failed to return social benefit- ..."
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, continue to prioritize GM rather than organic or other non-proprietary approaches to agricultural issues. Unlike organic farming, a truly staggering array of costs are externalized by commercialized GM crops. Examples include liability for uncontainable but proprietary gene encroachment onto neighboring
The Curious Inference of Boolos in Mizar and OMEGA
"... We examine Boolos’ curious inference and formalize it in a system based on set theory (Mizar) and a system based on classical higher-order logic (OMEGA). The Boolos example is interesting because while it can in principle be proven using a complete first-order calculus, it is impractical to do so. I ..."
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Cited by 2 (1 self)
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We examine Boolos’ curious inference and formalize it in a system based on set theory (Mizar) and a system based on classical higher-order logic (OMEGA). The Boolos example is interesting because while it can in principle be proven using a complete first-order calculus, it is impractical to do so
Moon Dust and Other Curious Phenomena
"... Abstract—Moon Dust seemed to be a really exciting topic and some research was completed. I presented a lesson on Moon Dust at the National Education Association in Washington, D.C. on July 13. There are connections between Moon Dust and the dust in a plasma as this paper will describe. In any case, ..."
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, data analysis plays an important role in all science fields and is especially important in CASPER’s Dusty Plasma Lab. It was discovered that the free program Image J can be very useful in analyzing images of dust particles and that MatLab can be used to further analyze the data. Some examples
I N A BOOK WITH THE CURIOUS
"... examines several of the most notable acci-dents involving complex systems in the modern industrial world-accidents such as the 1979 Three Mile Island nuclear pow-er accident, the 1977 New York City black-out, and the 1969 Texas City explosion of a butadiene refining unit. Perrow high-lights the diff ..."
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-lights the difficult job of plant operators who are responsible for physical systems with complex interactions and tight cou-pling. With current monitoring technolo-gy, alarms are triggered whenever fixed thresholds are exceeded. A nuclear power plant, for example, can have over a thou-sand distinct alarms
Some Curious Sequences Constructed with the Greedy Algorithm
, 1978
"... uences S(k) are of interest in their own right, largely because of the surprising dichotomy between regular and irregular values of k. There are also a host of related sequences, defined by rules similar to a n , which appear to exhibit similar types of regular and irregular behavior. We will merely ..."
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Cited by 7 (0 self)
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will merely give one such example here, though it would be interesting to develop a general theory. First we describe the sequences a n when k is regular. The regular values of k are by definition integers of the form 2 or 2 \Delta 3 . Theorem 1 Let k = 3 , m 0. Then a positive integer t is a
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