111 research outputs found
On simply normal numbers to different bases
No full textLet s be an integer greater than or equal to 2. A real number is simply normal to base s if in its base-s expansion every digit 0,1,…,s-1 occurs with the same frequency 1/s. Let S be the set of positive integers that are not perfect powers, hence S is the set {2,3,5,6,7,10,11,…}. Let M be a function from S to sets of positive integers such that, for each s in S, if m is in M(s) then each divisor of m is in M(s) and if M(s) is infinite then it is equal to the set of all positive integers. These conditions on M are necessary for there to be a real number which is simply normal to exactly the bases sm such that s is in S and m is in M(s). We show these conditions are also sufficient and further establish that the set of real numbers that satisfy them has full Hausdorff dimension. This extends a result of W. M. Schmidt (1961/1962) on normal numbers to different bases.Fil: Becher, Veronica Andrea. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación en Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación en Ciencias de la Computación; ArgentinaFil: Bugeaud, Yann. Université de Strasbourg; FranciaFil: Slaman, Theodore A.. University of California at Berkeley; Estados Unido
Supplemental Material, Evening_BED - Quality Improvement Initiative to Reduce Pediatric Intensive Care Unit Noise Pollution With the Use of a Pediatric Delirium Bundle
No full textSupplemental Material, Evening_BED for Quality Improvement Initiative to Reduce Pediatric Intensive Care Unit Noise Pollution With the Use of a Pediatric Delirium Bundle by Yu Kawai, Jeffrey R. Weatherhead, Chani Traube, Tonie A. Owens, Brenda E. Shaw, Erin J. Fraser, Annette M. Scott, Melody R. Wojczynski, Kristen L. Slaman, Patty M. Cassidy, Laura A. Baker, Renee A. Shellhaas, Mary K. Dahmer, Leah L. Shever, Nasuh M. Malas and Matthew F. Niedner in Journal of Intensive Care Medicine</p
Supplemental Material, Team_BED - Quality Improvement Initiative to Reduce Pediatric Intensive Care Unit Noise Pollution With the Use of a Pediatric Delirium Bundle
No full textSupplemental Material, Team_BED for Quality Improvement Initiative to Reduce Pediatric Intensive Care Unit Noise Pollution With the Use of a Pediatric Delirium Bundle by Yu Kawai, Jeffrey R. Weatherhead, Chani Traube, Tonie A. Owens, Brenda E. Shaw, Erin J. Fraser, Annette M. Scott, Melody R. Wojczynski, Kristen L. Slaman, Patty M. Cassidy, Laura A. Baker, Renee A. Shellhaas, Mary K. Dahmer, Leah L. Shever, Nasuh M. Malas and Matthew F. Niedner in Journal of Intensive Care Medicine</p
Supplemental Material, Morning_BED - Quality Improvement Initiative to Reduce Pediatric Intensive Care Unit Noise Pollution With the Use of a Pediatric Delirium Bundle
No full textSupplemental Material, Morning_BED for Quality Improvement Initiative to Reduce Pediatric Intensive Care Unit Noise Pollution With the Use of a Pediatric Delirium Bundle by Yu Kawai, Jeffrey R. Weatherhead, Chani Traube, Tonie A. Owens, Brenda E. Shaw, Erin J. Fraser, Annette M. Scott, Melody R. Wojczynski, Kristen L. Slaman, Patty M. Cassidy, Laura A. Baker, Renee A. Shellhaas, Mary K. Dahmer, Leah L. Shever, Nasuh M. Malas and Matthew F. Niedner in Journal of Intensive Care Medicine</p
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Definibilitas Minimaximi
No full textWhat follows is the result of the author’s investigation into the logical foundations of the theory of games. This investigation was carried out from a decidedly recursion-theoretic point of view, where we understand recursion theory to be that branch of logic which is fundamentally concerned, not with computability, but with definability. Consequently, this is a dissertation in recursion theory.In the course of his investigation the author was led to the earliest and most significant theorem of game theory, namely: von Neumann’s minimax theorem for finite two-person zero-sum games. This result is regarded as the foundation of game theory, even by von Neumann himself, who remarked that the subject could not exist without it. Here we are primarily concerned with the minimax theorem and the logical principles involved in its proof.The statements which comprise the dissertation have been organized in the following manner. Statements 1.1–1.35 are a computational study: There it is proved that the optimal strategies of any two-person zero-sum game of imperfect information are explicitly uniformly recursive in the specification of the game itself. In fact, it is proved that this holds for a particularly abstract generalization of the minimax theorem. So while the minimax theorem guarantees the existence of an equilibrium value, the results of Statements 1.1–1.35 confirm that the value can in fact be found in principle.Statements 2.1–2.24 are foundational in scope: Here it is shown that the minimax theorem in two dimensions is provable in a formal axiomatic system which corresponds to constructive mathematics. The upshot of this result is that although standard and familiar proofs of the minimax theorem rely on highly non-constructive mathematical principles such as compactness, only relatively elementary ones are actually needed to prove the theorem in ℝ2.Statements 3.1–3.27 contain an analysis of the compactness principles which recur in proofs of the minimax theorem and in equilibrium theorems in economics and game theory more broadly. Three such principles are the Brouwer fixed point theorem, the KKM theorem, and weak K̈onig’s lemma. These are generally believed to be equivalent: indeed, contains a formal derivation of the equivalence of Brouwer’s fixed-point theorem and weak K̈onig’s lemma. In Statements 3.1–3.27 it is proved that the KKM theorem is equivalent to weak K̈onig’s lemma, thus tying these results together and formally verifying the belief of the community on this topic
Fiber optic Surface Plasmon Resonance sensor based on wavelength modulation for hydrogen sensing
No full textA new design of a fiber optic Surface Plasmon Resonance (SPR) sensor using Palladium as a sensitive layer for hydrogen detection is presented. In this approach, a transducer layer is deposited on the outside of a multimode fiber, after removing the optical cladding. The transducer layer is a multilayer stack made of a Silver, a Silica and a Palladium layer. The spectral modulation of the light transmitted by the fiber allows to detect the presence of hydrogen in the environment. The sensor is only sensitive to the Transverse Magnetic polarized light and the Traverse Electric polarized light can be used therefore as a reference signal. A more reliable response is expected for the fiber SPR hydrogen sensor based on spectral modulation instead of on intensity modulation. The multilayer thickness defines the sensor performance. The silica thickness tunes the resonant wavelength, whereas the Silver and Palladium thickness determine the sensor sensitivity. In an optimal configuration (NA = 0.22, 100 ?m core radius and transducer length = 1 cm), the resonant wavelength is shifted over 17.6 nm at a concentration of 4% Hydrogen in Argon for the case of the 35 nm Silver/ 100 nm Silica/ 3 nm palladium multilayer.ChemE/Chemical EngineeringApplied Science
ON THE DECIDABILITY OF THE THEORIES OF THE ARITHMETIC AND HYPERARITHMETIC DEGREES AS UPPERSEMILATTICES
No full textAbstractWe establish the decidability of thetheory of both the arithmetic and hyperarithmetic degrees in the language of uppersemilattices, i.e., the language with ≤, 0 , and. This is achieved by using Kumabe-Slaman forcing, along with other known results, to show given finite uppersemilatticesand, whereis a subuppersemilattice of, that every embedding ofinto either degree structure extends to one ofiffis an end-extension of.</jats:p
A reliable, sensitive and fast optical fiber hydrogen sensor based on surface plasmon resonance
No full textWe report for the first time on the experimental response of a Surface Plasmon Resonance fiber optic sensor based on wavelength modulation for hydrogen sensing. This approach of measuring the hydrogen concentration makes the sensor insensitive to intensity fluctuations. The intrinsic fiber sensor developed provides remote sensing and enables the possibility of multi-points sensing. The sensor consists of a multilayer of 35 nm Au / 180 nm SiO2/ Pd deposited on a step- index multimode fiber core. The sensitivity and selectivity of the sensor are optimal at a Pd thickness of 3.75 nm. The sensor is sensitive to a hydrogen concentration ranging between 0.5 and 4% H2 in Ar, with a response time less than 15 s.ChemE/Chemical EngineeringApplied Science
Aspects of the Turing Jump
No full textclosure operators In our first application, we argue that the iterations of the Turing jump have a special role within relative definability. In the following definition, we are thinking of M as a function which maps X in 2 N to the set of those Y 's in 2 N which are definable from X (in some specific way)
Recursive in a generic real
No full textAbstract. There is a comeager set C contained in the set of 1-generic reals and a first order structure M such that for any real number X, there is an element of C which is recursive in X if and only if there is a presentation of M which is recursive in X. 1
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