On a general transformation of the hydrodynamical equations

2021 ◽  
Vol 46 (1) ◽  
Author(s):  
A. Clebsch
Keyword(s):  
General Transformation

scholarly journals Fundamental limitations on distillation of quantum channel resources

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Bartosz Regula ◽  
Ryuji Takagi
Keyword(s):  
Lower Bounds ◽  
Quantum Channel ◽  
Quantum Communication ◽  
Fault Tolerant ◽  
State Of The Art ◽  
Quantum Systems ◽  
Noisy Channels ◽  
General Transformation ◽  
Fundamental Limitations ◽  
Strong Converse

AbstractQuantum channels underlie the dynamics of quantum systems, but in many practical settings it is the channels themselves that require processing. We establish universal limitations on the processing of both quantum states and channels, expressed in the form of no-go theorems and quantitative bounds for the manipulation of general quantum channel resources under the most general transformation protocols. Focusing on the class of distillation tasks — which can be understood either as the purification of noisy channels into unitary ones, or the extraction of state-based resources from channels — we develop fundamental restrictions on the error incurred in such transformations, and comprehensive lower bounds for the overhead of any distillation protocol. In the asymptotic setting, our results yield broadly applicable bounds for rates of distillation. We demonstrate our results through applications to fault-tolerant quantum computation, where we obtain state-of-the-art lower bounds for the overhead cost of magic state distillation, as well as to quantum communication, where we recover a number of strong converse bounds for quantum channel capacity.

scholarly journals The new Brazilian identification system: unique features of a general transformation.

2012 ◽  
Vol 10 (1) ◽  
pp. 18-27
Author(s):  
Marta Mourão Kanashiro ◽  
Danilo Doneda
Keyword(s):  
Historical Context ◽  
Identification System ◽  
General Transformation ◽  
Identity Document

The adoption of a new ID document in Brazil, most commonly known as RIC (Registro de Identidade Civil or Civil Identity Registry) has already a long story, having started with its provision by Law number 9.454, enacted in 1997. In order to contribute to the analysis and critique this process, this paper highlights the specificities of the Brazilian implementation of the new identity document (RIC). Therefore, we will firstly present the general characteristics of this new document and its historical context and, secondly, we point out the unique features that mark its implementation.

scholarly journals Velocity transformation for compressible wall-bounded turbulent flows with and without heat transfer

2021 ◽  
Vol 118 (34) ◽  
pp. e2111144118 ◽  
Author(s):  
Kevin Patrick Griffin ◽  
Lin Fu ◽  
Parviz Moin
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Turbulent Flows ◽  
Viscous Sublayer ◽  
Mean Velocity ◽  
General Transformation ◽  
Law Of The Wall ◽  
Velocity Transformation ◽  
Logarithmic Region ◽  
Logarithmic Layer

In this work, a transformation, which maps the mean velocity profiles of compressible wall-bounded turbulent flows to the incompressible law of the wall, is proposed. Unlike existing approaches, the proposed transformation successfully collapses, without specific tuning, numerical simulation data from fully developed channel and pipe flows, and boundary layers with or without heat transfer. In all these cases, the transformation is successful across the entire inner layer of the boundary layer (including the viscous sublayer, buffer layer, and logarithmic layer), recovers the asymptotically exact near-wall behavior in the viscous sublayer, and is consistent with the near balance of turbulence production and dissipation in the logarithmic region of the boundary layer. The performance of the transformation is verified for compressible wall-bounded flows with edge Mach numbers ranging from 0 to 15 and friction Reynolds numbers ranging from 200 to 2,000. Based on physical arguments, we show that such a general transformation exists for compressible wall-bounded turbulence regardless of the wall thermal condition.

scholarly journals Quantum computing and the brain: quantum nets, dessins d’enfants and neural networks

2019 ◽  
Vol 198 ◽  
pp. 00014
Author(s):  
Torsten Asselmeyer-Maluga
Keyword(s):  
Neural Networks ◽  
Quantum Computing ◽  
Feedback Loops ◽  
Character Variety ◽  
General Transformation ◽  
Closed Loops ◽  
Dessins D’Enfants ◽  
Topological Quantum ◽  
The Neural Network ◽  
Dessins D'enfants

In this paper, we will discuss a formal link between neural networks and quantum computing. For that purpose we will present a simple model for the description of the neural network by forming sub-graphs of the whole network with the same or a similar state. We will describe the interaction between these areas by closed loops, the feedback loops. The change of the graph is given by the deformations of the loops. This fact can be mathematically formalized by the fundamental group of the graph. Furthermore the neuron has two basic states |0〉 (ground state) and |1〉 (excited state). The whole state of an area of neurons is the linear combination of the two basic state with complex coefficients representing the signals (with 3 Parameters: amplitude, frequency and phase) along the neurons. If something changed in this area, we need a transformation which will preserve this general form of a state (mathematically, this transformation must be an element of the group S L(2; C)). The same argumentation must be true for the feedback loops, i.e. a general transformation of states along the feedback loops is an assignment of this loop to an element of the transformation group. Then it can be shown that the set of all signals forms a manifold (character variety) and all properties of the network must be encoded in this manifold. In the paper, we will discuss how to interpret learning and intuition in this model. Using the Morgan-Shalen compactification, the limit for signals with large amplitude can be analyzed by using quasi-Fuchsian groups as represented by dessins d’enfants (graphs to analyze Riemannian surfaces). As shown by Planat and collaborators, these dessins d’enfants are a direct bridge to (topological) quantum computing with permutation groups. The normalization of the signal reduces to the group S U(2) and the whole model to a quantum network. Then we have a direct connection to quantum circuits. This network can be transformed into operations on tensor networks. Formally we will obtain a link between machine learning and Quantum computing.

scholarly journals A post-structuralist revised Weil–Lévi-Strauss transformation formula for conceptual value-fields

2018 ◽  
Vol 46 (2/3) ◽  
pp. 255-281 ◽  
Author(s):  
James B. Harrod
Keyword(s):  
Logic Model ◽  
Comparative Religion ◽  
Cultural Value ◽  
Transformation Formula ◽  
General Transformation ◽  
Cultural Space ◽  
Literature And Philosophy

The structuralist André-Weil–Claude-Lévi-Strauss transformation formula (CF), initially applied to kinship systems, mythology, ritual, artistic design and architecture, was rightfully criticized for its rationalism and tendency to reduce complex transformations to analogical structures. I present a revised non-mathematical revision of the CF, a general transformation formula (rCF) applicable to networks of complementary semantic binaries in conceptual value-fields of culture, including comparative religion and mythology, ritual, art, literature and philosophy. The rCF is a rule-guided formula for combinatorial conceptualizing in non-representational, presentational mythopoetics and other cultural symbolizations. I consider poststructuralist category-theoretic and algebraic mathematical interpretations of the CF as themselves only mathematical analogies, which serve to stimulate further revision of the logic model of the rCF. The rCF can be used in hypothesis-making to advance understanding of the evolution and prehistory of human symbolic behaviour in cultural space, philosophical ontologies and categories, definitions and concepts in art, religion, psychotherapy, and other cultural-value forms.

‘Globalist war against humanity shifts into high gear’: Online anti-vaccination websites and ‘anti-public’ discourse

2018 ◽  
Vol 28 (3) ◽  
pp. 357-371 ◽  
Author(s):  
Mark Davis
Keyword(s):  
Mixed Methods ◽  
Public Discourse ◽  
Public Deliberation ◽  
Online Media ◽  
General Transformation ◽  
Scholarly Literature ◽  
Mixed Methods Approach

Online media has provided unprecedented opportunities for anti-vaccination groups to spread their message. An extensive scholarly literature has consequently emerged to analyse such discourse and develop strategies for countering it. In this article, I take a different approach. My contention is that it is no longer appropriate to approach anti-vaccination discourse as a stand-alone formation. Such sites, I argue, building on work by McKenzie Wark and Bart Cammaerts, are increasingly part of a wider proliferation of ‘anti-public’ discourse that contests fundamental democratic conventions, rules of argumentation and so on. The article uses a mixed methods approach based on a systematic content survey supplemented by the presentation of qualitative examples from 56 anti-vaccination websites. By locating anti-vaccination discourse in these broader contexts, I argue, it is possible to understand it as related to a more general transformation in public deliberation.

The Electromagnetic Equations as Basis of Einstein's Quadratic Form

1924 ◽  
Vol 22 (2) ◽  
pp. 138-162 ◽  
Author(s):  
R. Hargreaves
Keyword(s):  
Quadratic Form ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
General Transformation ◽  
Simple Transformation

§ 1. The groundwork of the present paper is a general transformation of Maxwell's equations. As relativist speculation had its origin in a simple transformation, it was to be expected that something more would result when the general transformation was explored: the determining influence has proved stronger than I had anticipated.

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