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Special Solutions of Discrete Integrable Systems
Hierarchies of discrete soliton equations are constructed in bilinear form as a consequence of the algebraic identities satisfied by determinants and...
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14 Organization and Leadership in Hospitals
Good Morning. I was surprised yesterday morning after listening to Karl Weick’s wonderful presentation to find myself thinking that I should be...
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16 Transforming Your Regional Economy through Uncertainty and Surprise: Learning from Complexity Science, Network Theory and the Field
The field of regional development blossomed in the last decade, as researchers and practitioners increasingly asserted that the region was the most...
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13 Medical Errors and Microsystems: The Best Things Cannot Be Told
The best things cannot be told Because they transcend all thought. The...
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12 Primary Care Practice: Uncertainty and Surprise
I will focus my comments on uncertainty and surprise in primary care practices. I am a medical anthropologist by training, and have been a full-time...
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3 Complexity, Uncertainty and Surprise: An Integrated View
The purpose of this paper is to tie together some of the major themes that emerged at the conference and in the presentations in this volume. As...
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8 The Tyranny of Many Dimensionless Constants: A Constraint on Knowability
My talk today is concerned with one particular aspect of knowability having to do with the modeling and simulation of complex phenomena. This...
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Three Lessons on the Painlevé Property and the Painlevé Equations
While this school focuses on discrete integrable systems we feel it necessary, if only for reasons of comparison, to go back to fundamentals and...
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Painlevé Kernels and Surface Defects at Strong Coupling
It is well established that the spectral analysis of canonically quantized four-dimensional Seiberg–Witten curves can be systematically studied via...
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Analytical theory of the spin-orbit state of a binary asteroid deflected by a kinetic impactor
We study the perturbed-from-synchronous librational state of a double asteroid, modeled by the Full Two Rigid Body Problem (F2RBP), with primary...
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Positive definiteness of Hadamard exponentials and Hadamard inverses
Let A be a positive semidefinite matrix. It is known that the Hadamard exponential of A is positive semidefinite; it is positive definite if and only...
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Rogers–Ramanujan type identities involving double, triple and quadruple sums
We prove a number of new Rogers–Ramanujan type identities involving double, triple and quadruple sums. They were discovered after an extensive search...
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Continuity Dependence of Attractors of Iterated Function Systems with Orbital Condition
In the article Secelean and Wardowski (Qual Theory Dyn Syst 21:162, 2022), there were introduced iterated function systems involving certain...
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Renormalization of Higher Currents of the Sine-Gordon Model in pAQFT
In this paper, we show that the higher currents of the sine-Gordon model are super-renormalizable by power counting in the framework of pAQFT. First...
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Stability Analysis of a New Differential-Difference Model Applied to the Pre-exposure Prophylaxis (PrEP) Effect on the Spread of HIV
In this research, an examination is conducted on a model derived from the inquiry into the efficacy of HIV Pre-Exposure Prophylaxis (PrEP) within...
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Existence Results for Nonlinear Hilfer Pantograph Fractional Integrodifferential Equations
The main aim of this paper is to study the existence and uniqueness solutions for the nonlinear Hilfer pantograph fractional differential equations....
