Chapter 25. The Jost Solutions: Technical Details

2017 ◽  
pp. 491-503
Keyword(s):  
Technical Details ◽  
Jost Solutions

The Jost Solutions: Technical Details

2017 ◽  
Author(s):  
John A. Adam
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Body Problem ◽  
Complete Information ◽  
Two Body Problem ◽  
Jost Function ◽  
Radial Schrödinger Equation ◽  
Jost Functions ◽  
Technical Details ◽  
Jost Solutions

This chapter discusses the technical details of the Jost solutions of the Schrödinger equation. The nonrelativistic quantum mechanical two-body problem can be described in terms of the Jost functions and Jost solutions of the Schrödinger equation. When defined for all complex values of the momentum, the Jost functions contain complete information about the underlying physical system. Compared to the S-function which may have redundant poles, the Jost function is a more fundamental quantity because it does not suffer from ambiguities caused by redundant zeros. The chapter first considers the time-independent radial Schrödinger equation before analyzing the regular solution for the Jost function, the poles of the S-matrix, and the wavepacket approach.

Surgical Technique: Papillary Muscle Sling for Functional Mitral Regurgitation during Minimally Invasive Valve Surgery

2013 ◽  
Vol 16 (5) ◽  
pp. E295-E297 ◽  
Author(s):  
Joseph Lamelas ◽  
Christos Mihos ◽  
Orlando Santana
Keyword(s):  
Mitral Regurgitation ◽  
Minimally Invasive ◽  
Median Sternotomy ◽  
Rational Approach ◽  
Functional Mitral Regurgitation ◽  
Minimally Invasive Approach ◽  
Invasive Approach ◽  
Mitral Annuloplasty ◽  
Technical Details ◽  
Mitral Apparatus

In patients with functional mitral regurgitation, the placement of a sling encircling both papillary muscles in conjunction with mitral annuloplasty appears to be a rational approach for surgical correction, because it addresses both the mitral valve and the deformities of the subvalvular mitral apparatus. Reports in the literature that describe the utilization of this technique are few, and mainly involve a median sternotomy approach. The purpose of this communication is to describe the technical details of performing this procedure via a minimally invasive approach.

The Importance of Alcohol Testing by Gas Chromatography vs the Cordebard Classical Method Modified in the Medico Legal Investigation

2018 ◽  
Vol 69 (9) ◽  
pp. 2407-2410
Author(s):  
Dan Perju Dumbrava ◽  
Carmen Corina Radu ◽  
Sofia David ◽  
Tatiana Iov ◽  
Catalin Jan Iov ◽  
...  
Keyword(s):  
Gas Chromatography ◽  
Chromatographic Method ◽  
Classical Method ◽  
Blood Alcohol Concentration ◽  
Alcohol Concentration ◽  
Blood Alcohol ◽  
Technical Details ◽  
Gas Chromatographic Method ◽  
Alcohol Testing ◽  
Living Person

Considering the growing number of requests from the criminal investigations authorities addressed to the institutions of legal medicine, testing of blood alcohol concentration both in the living person and in the corpse, we believe that a presentation of the two methods which are used in our country, is a topic of interest at present. The purpose of this article is to provide the reader with the technical details on how blodd alcohol concentration is realised by means of the gas chromatographic method and the classical one, (Cordebard modified by D. Banciu and I. Droc) respectively. Another purpose of this article is to also show, in a comparative way, the elements that make the gas chromatographic method superior to the former one.

Best Matching: Technical Details

2018 ◽  
Author(s):  
Flavio Mercati
Keyword(s):  
Point Particle ◽  
Euclidean Group ◽  
Scale Invariant ◽  
Similarity Group ◽  
N Body Problem ◽  
Technical Details ◽  
Matching Procedure ◽  
Principal Fibre ◽  
Principal Fibre Bundle ◽  
Gauge Connection

The best matching procedure described in Chapter 4 is equivalent to the introduction of a principal fibre bundle in configuration space. Essentially one introduces a one-dimensional gauge connection on the time axis, which is a representation of the Euclidean group of rotations and translations (or, possibly, the similarity group which includes dilatations). To accommodate temporal relationalism, the variational principle needs to be invariant under reparametrizations. The simplest way to realize this in point–particle mechanics is to use Jacobi’s reformulation of Mapertuis’ principle. The chapter concludes with the relational reformulation of the Newtonian N-body problem (and its scale-invariant variant).

ASL Acquisition Principles

2017 ◽  
Author(s):  
Michael Chappell ◽  
Bradley MacIntosh ◽  
Thomas Okell
Keyword(s):  
Arterial Spin Labeling ◽  
Spin Labeling ◽  
Perfusion Mri ◽  
Making Choices ◽  
Technical Details

A variety of acquisition methods for arterial spin labeling (ASL) perfusion MRI exist, often with different names referring to broadly similar approaches. This chapter outlines the main flavors of ASL in common use, along with their strengths and weaknesses, before finally presenting the current consensus of the community on good acquisition parameters for general use. The chapter considers the choice of labeling (e.g. pseudo-continuous versus pulsed), readout (e.g. 2D versus 3D), the choice of post-label delay, and a number of other solutions to correct for artifacts such as arterial contamination. Avoiding extensive technical details, this chapter seeks to inform the ASL user when making choices about acquisition parameters for the use of ASL and also provides enough terminology to help a new user understand the key parameters that they need to know when presented with a new ASL dataset.

scholarly journals Simulations of a bubble wall interacting with an electroweak plasma

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Zong-Gang Mou ◽  
Paul M. Saffin ◽  
Anders Tranberg
Keyword(s):  
Large Scale ◽  
Baryon Asymmetry ◽  
Winding Number ◽  
Bubble Wall ◽  
Electroweak Phase Transition ◽  
First Order ◽  
The Standard Model ◽  
Technical Details ◽  
Real Time Simulations ◽  
Chern Simons

Abstract We perform large-scale real-time simulations of a bubble wall sweeping through an out-of-equilibrium plasma. The scenario we have in mind is the electroweak phase transition, which may be first order in extensions of the Standard Model, and produce such bubbles. The process may be responsible for baryogenesis and can generate a background of primordial cosmological gravitational waves. We study thermodynamic features of the plasma near the advancing wall, the generation of Chern-Simons number/Higgs winding number and consider the potential for CP-violation at the wall generating a baryon asymmetry. A number of technical details necessary for a proper numerical implementation are developed.

scholarly journals Demystifying data and AI for manufacturing: case studies from a major computer maker

2021 ◽  
Vol 10 ◽  
Author(s):  
Yi-Chun Chen ◽  
Bo-Huei He ◽  
Shih-Sung Lin ◽  
Jonathan Hans Soeseno ◽  
Daniel Stanley Tan ◽  
...  
Keyword(s):  
Training Data ◽  
Smart Manufacturing ◽  
Reliable System ◽  
Process Innovations ◽  
Optical Inspection ◽  
Technical Details ◽  
Automation Technology ◽  
Electronic Parts ◽  
Traditional Approaches ◽  
Inspection Machine

In this article, we discuss the backgrounds and technical details about several smart manufacturing projects in a tier-one electronics manufacturing facility. We devise a process to manage logistic forecast and inventory preparation for electronic parts using historical data and a recurrent neural network to achieve significant improvement over current methods. We present a system for automatically qualifying laptop software for mass production through computer vision and automation technology. The result is a reliable system that can save hundreds of man-years in the qualification process. Finally, we create a deep learning-based algorithm for visual inspection of product appearances, which requires significantly less defect training data compared to traditional approaches. For production needs, we design an automatic optical inspection machine suitable for our algorithm and process. We also discuss the issues for data collection and enabling smart manufacturing projects in a factory setting, where the projects operate on a delicate balance between process innovations and cost-saving measures.

scholarly journals Transcatheter Closure of PFO and ASD: Multimodality Imaging for Patient Selection and Perioperative Guidance

2021 ◽  
Vol 8 (7) ◽  
pp. 78
Author(s):  
Gabriele Egidy Assenza ◽  
Luca Spinardi ◽  
Elisabetta Mariucci ◽  
Anna Balducci ◽  
Luca Ragni ◽  
...  
Keyword(s):  
Patient Selection ◽  
Transcatheter Closure ◽  
Multimodality Imaging ◽  
Deep Understanding ◽  
Volume Overload ◽  
Arterial Embolization ◽  
Ventricular Volume ◽  
Intracardiac Echocardiography ◽  
Technical Details ◽  
Asd Closure

Transcatheter closure of patent foramen ovale (PFO) and secundum type atrial septal defect (ASD) are common transcatheter procedures. Although they share many technical details, these procedures are targeting two different clinical indications. PFO closure is usually considered to prevent recurrent embolic stroke/systemic arterial embolization, ASD closure is indicated in patients with large left-to-right shunt, right ventricular volume overload, and normal pulmonary vascular resistance. Multimodality imaging plays a key role for patient selection, periprocedural monitoring, and follow-up surveillance. In addition to routine cardiovascular examinations, advanced neuroimaging studies, transcranial-Doppler, and interventional transesophageal echocardiography/intracardiac echocardiography are now increasingly used to deliver safely and effectively such procedures. Long-standing collaboration between interventional cardiologist, neuroradiologist, and cardiac imager is essential and it requires a standardized approach to image acquisition and interpretation. Periprocedural monitoring should be performed by experienced operators with deep understanding of technical details of transcatheter intervention. This review summarizes the specific role of different imaging modalities for PFO and ASD transcatheter closure, describing important pre-procedural and intra-procedural details and providing examples of procedural pitfall and complications.

scholarly journals Real-Time Musculoskeletal Kinematics and Dynamics Analysis Using Marker- and IMU-Based Solutions in Rehabilitation

Sensors ◽  
2021 ◽  
Vol 21 (5) ◽  
pp. 1804
Author(s):  
Dimitar Stanev ◽  
Konstantinos Filip ◽  
Dimitrios Bitzas ◽  
Sokratis Zouras ◽  
Georgios Giarmatzis ◽  
...  
Keyword(s):  
Real Time ◽  
Small Error ◽  
Grand Challenge ◽  
Muscle Forces ◽  
Time Estimates ◽  
Musculoskeletal Models ◽  
Open Source Framework ◽  
Measurement Units ◽  
Technical Details ◽  
Significant Milestone

This study aims to explore the possibility of estimating a multitude of kinematic and dynamic quantities using subject-specific musculoskeletal models in real-time. The framework was designed to operate with marker-based and inertial measurement units enabling extensions far beyond dedicated motion capture laboratories. We present the technical details for calculating the kinematics, generalized forces, muscle forces, joint reaction loads, and predicting ground reaction wrenches during walking. Emphasis was given to reduce computational latency while maintaining accuracy as compared to the offline counterpart. Notably, we highlight the influence of adequate filtering and differentiation under noisy conditions and its importance for consequent dynamic calculations. Real-time estimates of the joint moments, muscle forces, and reaction loads closely resemble OpenSim’s offline analyses. Model-based estimation of ground reaction wrenches demonstrates that even a small error can negatively affect other estimated quantities. An application of the developed system is demonstrated in the context of rehabilitation and gait retraining. We expect that such a system will find numerous applications in laboratory settings and outdoor conditions with the advent of predicting or sensing environment interactions. Therefore, we hope that this open-source framework will be a significant milestone for solving this grand challenge.

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