Permeable boundaries in Mozart's Don Giovanni

2001 ◽  
Vol 13 (2) ◽  
pp. 115-139 ◽  
Author(s):  
LAUREL ELIZABETH ZEISS
Keyword(s):  
Long Range ◽  
Don Giovanni ◽  
Musical Continuity ◽  
Definition Of

Permeable boundaries form the musical ‘thread’ of Don Giovanni– a compositional strategy fundamental to the opera's character. Customary cadential borders get omitted or blurred; material heard early in the opera prominently returns; and all the accompanied recitative-set piece pairs act as ‘composite pieces’ – scenes in which musical material as well as dramatic function bind the accompanied recitative and aria or duet together and fuse them into one entity. ‘Permeability’ is heightened in Don Giovanni due to the supernatural elements of the plot, the title character's refusal to to submit to society's strictures, Gluck's association with the story, and Mozart's propensity for musical one-upmanship. Yet it is by no means unique to that work. Studying the relationships between accompanied recitatives and adjacent numbers reveals a ‘middleground’ of musical continuity that lies between long-range tonal plans and the motivic and tonal unities of individual numbers. Hence these passages challenge, as well as complement, some of our underlying assumptions about operatic form, and urge us to expand our definition of a ‘number’.

Roaming Reactions and Dynamics in the van der Waals Region

2020 ◽  
Vol 71 (1) ◽  
pp. 77-100 ◽  
Author(s):  
Arthur G. Suits
Keyword(s):  
Long Range ◽  
Internal State ◽  
Chemical Reactivity ◽  
Van Der Waals ◽  
Quantum Effects ◽  
Experimental Results ◽  
Unexpected Formation ◽  
Chemical Systems ◽  
Definition Of

Roaming reactions were first clearly identified in photodissociation of formaldehyde 15 years ago, and roaming dynamics are now recognized as a universal aspect of chemical reactivity. These reactions typically involve frustrated near-dissociation of a quasibound system to radical fragments, followed by reorientation at long range and intramolecular abstraction. The consequences can be unexpected formation of molecular products, depletion of the radical pool in chemical systems, and formation of products with unusual internal state distributions. In this review, I examine some current aspects of roaming reactions with an emphasis on experimental results, focusing on possible quantum effects in roaming and roaming dynamics in bimolecular systems. These considerations lead to a more inclusive definition of roaming reactions as those for which key dynamics take place at long range.

scholarly journals Piezoelectric Energy Harvesting Prediction and Efficient Management for Industrial Wireless Sensor

2020 ◽  
Vol 10 (23) ◽  
pp. 8486
Author(s):  
Alex Mouapi ◽  
Nadir Hakem ◽  
Nahi Kandil
Keyword(s):  
Long Range ◽  
Design Method ◽  
Wireless Sensor ◽  
Energy Harvest ◽  
Area Network ◽  
Wide Area Network ◽  
Operating Modes ◽  
Efficient Management ◽  
Piezoelectric Energy ◽  
Definition Of

The vibrations, due to their abundance in most industrial processes, constitute an attractive solution for the power supply of Industrial Wireless Sensor (IWS). However, the amount of energy that can be harvested presents numerous fluctuations due to the engines’ different operating modes (overload, full load, or even operation without charge). Most designs do not incorporate this fluctuation in the definition of the specifications of the autonomous IWS. This paper then presents a design method to ensure the node’s energy autonomy while maximizing its Quality of Service (QoS). To precisely define the specifications of the IWS, vibration measurements were carried out at its location for one month. The recorded data was used to propose a new Predictor of the Harvestable Energy from Vibrations (PHEV). A comparative evaluation of the proposed PHEV performances with a state-of-the-art predictor is carried out. The results obtained show that the PHEV makes it possible to minimize the Root Mean Square Error (RMSE) from 28.63 mW to 19.52 mW. A model of energy dissipation in IWS, considering the Internet of Things’ requirements, was established. The model is based on Long-Range (LoRa)/Long-Range Communication Wide Area Network (LoRaWan). The amount of data transmitted is then maximized according to the expected energy harvest rate by setting up a Maximization Data Size Protocol (MDSP). The proposed method makes it possible to ensure an acceptable QoS without resorting to reconfigurable circuits, which are sometimes bulky for miniature devices such as the IWS.

The nature of discrete second-order self-similarity

2003 ◽  
Vol 35 (02) ◽  
pp. 395-416 ◽  
Author(s):  
A. Gefferth ◽  
D. Veitch ◽  
I. Maricza ◽  
S. Molnár ◽  
I. Ruzsa
Keyword(s):  
Fixed Points ◽  
Long Range ◽  
Power Laws ◽  
Complete Classification ◽  
Second Order ◽  
General Definition ◽  
Long Range Dependence ◽  
Self Similarity ◽  
New Treatment ◽  
Definition Of

A new treatment of second-order self-similarity and asymptotic self-similarity for stationary discrete time series is given, based on the fixed points of a renormalisation operator with normalisation factors which are not assumed to be power laws. A complete classification of fixed points is provided, consisting of the fractional noise and one other class. A convenient variance time function approach to process characterisation is used to exhibit large explicit families of processes asymptotic to particular fixed points. A natural, general definition of discrete long-range dependence is provided and contrasted with common alternatives. The closely related discrete form of regular variation is defined, its main properties given, and its connection to discrete self-similarity explained. Folkloric results on long-range dependence are proved or disproved rigorously.

Long-range Coulomb forces and localized bonds

1999 ◽  
Vol 55 (5) ◽  
pp. 698-711 ◽  
Author(s):  
Christoph Preiser ◽  
Jens Lösel ◽  
I. David Brown ◽  
Martin Kunz ◽  
Aniceta Skowron
Keyword(s):  
Long Range ◽  
Coordination Sphere ◽  
Inorganic Compounds ◽  
Coulomb Field ◽  
Bond Valence ◽  
Coulomb Interactions ◽  
Ionic Model ◽  
Distant Field ◽  
Electric Flux ◽  
Definition Of

The ionic model is shown to be applicable to all compounds in which the atoms carry a net charge and their electron density is spherically symmetric regardless of the covalent character of the bonding. By examining the electric field generated by an array of point charges placed at the positions of the ions in over 40 inorganic compounds, we show that the Coulomb field naturally partitions itself into localized regions (bonds) which are characterized by the electric flux that links neighbouring ions of opposite charge. This flux is identified with the bond valence, and Gauss' law with the valence-sum rule, providing a secure theoretical foundation for the bond-valence model. The localization of the Coulomb field provides an unambiguous definition of coordination number and our calculations show that, in addition to the expected primary coordination sphere, there are a number of weak bonds between cations and the anions in the second coordination sphere. Long-range Coulomb interactions are transmitted through the crystal by the application of Gauss' law at each of the intermediate atoms. Bond fluxes have also been calculated for compounds containing ions with non-spherical electron densities (e.g. cations with stereoactive lone electron pairs). In these cases the point-charge model continues to describe the distant field, but multipoles must be added to the point charges to give the correct local field.

The nature of discrete second-order self-similarity

2003 ◽  
Vol 35 (2) ◽  
pp. 395-416 ◽  
Author(s):  
A. Gefferth ◽  
D. Veitch ◽  
I. Maricza ◽  
S. Molnár ◽  
I. Ruzsa
Keyword(s):  
Fixed Points ◽  
Long Range ◽  
Power Laws ◽  
Complete Classification ◽  
Second Order ◽  
General Definition ◽  
Long Range Dependence ◽  
Self Similarity ◽  
New Treatment ◽  
Definition Of

A new treatment of second-order self-similarity and asymptotic self-similarity for stationary discrete time series is given, based on the fixed points of a renormalisation operator with normalisation factors which are not assumed to be power laws. A complete classification of fixed points is provided, consisting of the fractional noise and one other class. A convenient variance time function approach to process characterisation is used to exhibit large explicit families of processes asymptotic to particular fixed points. A natural, general definition of discrete long-range dependence is provided and contrasted with common alternatives. The closely related discrete form of regular variation is defined, its main properties given, and its connection to discrete self-similarity explained. Folkloric results on long-range dependence are proved or disproved rigorously.

scholarly journals On the Definition of Catastrophe Claims and the Calculation of their Expected Cost for the Purpose of Long Range Planning and Profit Centre Control

1987 ◽  
Vol 17 (2) ◽  
pp. 171-177 ◽  
Author(s):  
Björn Ajne ◽  
Harry Wide
Keyword(s):  
Long Range ◽  
Real Data ◽  
Expected Cost ◽  
Planning And Control ◽  
Long Range Planning ◽  
Definition Of ◽  
And Control ◽  
A Company

AbstractSome reasons are given for paying special attention to the gross cost of catastrophe claims in planning and control. A method is then described of defining catastrophe claims and estimating their expected cost. The various steps in applying the method to real data and its performance for planning and control are discussed and illustrated in conjunction with an investigation carried out on a company portfolio.

scholarly journals Long range dependence of heavy-tailed random functions

2021 ◽  
Vol 58 (3) ◽  
pp. 569-593
Author(s):  
Rafal Kulik ◽  
Evgeny Spodarev
Keyword(s):  
Long Range ◽  
Random Function ◽  
Limit Theorems ◽  
Random Processes ◽  
Long Range Dependence ◽  
Infinite Variance ◽  
Random Functions ◽  
Heavy Tailed ◽  
Definition Of ◽  
Index Space

AbstractWe introduce a definition of long range dependence of random processes and fields on an (unbounded) index space $T\subseteq \mathbb{R}^d$ in terms of integrability of the covariance of indicators that a random function exceeds any given level. This definition is specifically designed to cover the case of random functions with infinite variance. We show the value of this new definition and its connection to limit theorems via some examples including subordinated Gaussian as well as random volatility fields and time series.

scholarly journals A modulation wave approach to the long range order hidden in nominal 'disorder'

2014 ◽  
Vol 70 (a1) ◽  
pp. C36-C36
Author(s):  
Ray Withers
Keyword(s):  
Long Range ◽  
Range Order ◽  
Local Order ◽  
Long Range Order ◽  
Diffuse Intensity ◽  
Crystalline Materials ◽  
Modulated Structures ◽  
Close Relationship ◽  
Diffraction Patterns ◽  
Definition Of

While the definition of a crystal in terms of pure point diffraction/sharp Bragg reflections only is undoubtedly an excellent approximation for many crystalline materials, there exists a large and growing family of phases for which such a description is grossly inadequate: namely crystalline materials whose reciprocal spaces exhibit highly structured, continuous, diffuse intensity distributions which are essentially long range ordered in at least one or more dimensions (see e.g. Fig.1). To gain insight into both the local order, as well as the long range order, hidden in disordered materials of this type it is very helpful, if not essential, to use the language of modulated structures. An approach of this type automatically emphasizes the close relationship between the crystallography of disordered structures and aperiodic crystallography in general. In this contribution, the use of such an approach to understand the often highly structured shapes of such diffuse distributions, the characteristic extinction conditions frequently associated with them and the long range crystal chemical rules underlying their existence will be highlighted. Fig.1: <11-2> and <-110> zone axis electron diffraction patterns of (a) β-cristobalite and (b) SiO2-tridymite.

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