Information as Distinctions: New Foundations for Information Theory [PDF]
The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pair of elements in distinct blocks of the partition ...
Ellerman, David
core
Invariant Sets in Quasiperiodically Forced Dynamical Systems
This paper addresses structures of state space in quasiperiodically forced dynamical systems. We develop a theory of ergodic partition of state space in a class of measure-preserving and dissipative flows, which is a natural extension of the existing ...
Mezić, Igor, Susuki, Yoshihiko
core +1 more source
Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers
ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone +8 more
wiley +1 more source
New Onset of Fibromyalgia After Exposure to a Combat Environment: A Longitudinal Cohort Study
Objective Traumatic life events are hypothesized to be triggers for the onset of fibromyalgia. Posttraumatic stress disorder (PTSD) is a common comorbidity of fibromyalgia. However, limited prospective data are available on the development of fibromyalgia after exposure to high‐magnitude stress.
Jay B. Higgs +15 more
wiley +1 more source
Memoir on the theory of the partitions of numbers.—part IV. On the probability that the successful candidate at an election by ballot may never at any time have fewer votes than the one who is unsuccessful; on a generalization of this question: and on its connexion with other question of partition, permutation, and combination [PDF]
1. Consider a lattice in two dimensions, taking, for instance,one in which AB, BC are 7 and 5 segments in length respectively. It may be utilised for the study of permutations, combinations, and partitions in various ways, also for the study of certain questions in the theory of probabilities. 2. A "line of route" through the latttice from
openaire +1 more source
Bose-Einstein condensation of finite number of confined particles
The partition function and specific heat of a system consisting of a finite number of bosons confined in an external potential are calculated in canonical ensemble.
Anderson +25 more
core +2 more sources
Trajectories of Physical Function in Canadian Children with Juvenile Idiopathic Arthritis
Objectives We describe trajectories of physical function in children newly diagnosed with juvenile idiopathic arthritis (JIA) and identify trajectories with persisting functional impairments and associated baseline characteristics. Methods We included patients enrolled in the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry ...
Clare Cunningham +14 more
wiley +1 more source
Secret Cryptographic Key Sharing Through the Integer Partition Function
Secret key exchange is a necessary function for modern cryptography. The integer partition function is a mathematical function that arises from number theory.
Daniel Fernandes da Nobrega +5 more
doaj +1 more source
Localization & Exact Holography
We consider the AdS_2/CFT_1 holographic correspondence near the horizon of big four-dimensional black holes preserving four supersymmetries in toroidally compactified Type-II string theory.
Dabholkar, Atish +2 more
core +1 more source
A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source

