scholarly journals Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 2

2012 ◽  
Vol 231 (6) ◽  
pp. 3389-3428 ◽  
Author(s):  
Dima Grigoriev ◽  
Pierre D. Milman
Keyword(s):  
Polynomial Complexity ◽  
A Priori ◽  
Essential Dimension ◽  
Dimension 2

scholarly journals On estimates for the Fu–Yau generalization of a Strominger system

2019 ◽  
Vol 2019 (751) ◽  
pp. 243-274 ◽  
Author(s):  
Duong H. Phong ◽  
Sebastien Picard ◽  
Xiangwen Zhang
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Higher Dimensions ◽  
Hessian Equation ◽  
Right Hand ◽  
Priori Estimates ◽  
Dimension 2

AbstractWe study an equation proposed by Fu and Yau as a natural n-dimensional generalization of a Strominger system that they solved in dimension 2. It is a complex Hessian equation with right-hand side depending on gradients. Building on the methods of Fu and Yau, we obtain {C^{0}}, {C^{2}}, and {C^{2,\alpha}} a priori estimates. We also identify difficulties in extending the Fu–Yau arguments for non-degeneracy from dimension 2 to higher dimensions.

Sharp weak-type inequalities for Fourier multipliers and second-order Riesz transforms

2014 ◽  
Vol 12 (8) ◽  
Author(s):  
Adam Osękowski
Keyword(s):  
Weak Type ◽  
A Priori ◽  
Second Order ◽  
Riesz Transforms ◽  
Fourier Multipliers ◽  
Probabilistic Methods ◽  
Probability Measures ◽  
A Priori Bounds ◽  
Smooth Functions ◽  
Dimension 2

AbstractWe study sharp weak-type inequalities for a wide class of Fourier multipliers resulting from modulation of the jumps of Lévy processes. In particular, we obtain optimal estimates for second-order Riesz transforms, which lead to interesting a priori bounds for smooth functions on ℝd. The proofs rest on probabilistic methods: we deduce the above inequalities from the corresponding estimates for martingales. To obtain the lower bounds, we exploit the properties of laminates, important probability measures on the space of matrices of dimension 2×2, and some transference-type arguments.

scholarly journals Extremal sequences of polynomial complexity

2013 ◽  
Vol 155 (2) ◽  
pp. 191-205 ◽  
Author(s):  
KEVIN G. HARE ◽  
IAN D. MORRIS ◽  
NIKITA SIDOROV
Keyword(s):  
Polynomial Complexity ◽  
Exponential Growth Rate ◽  
Maximal Rate ◽  
Joint Spectral Radius ◽  
Bounded Set ◽  
Fixed Set ◽  
Finite Set ◽  
Dimension 2 ◽  
Subword Complexity ◽  
Real Matrices

AbstractThe joint spectral radius of a bounded set of d × d real matrices is defined to be the maximum possible exponential growth rate of products of matrices drawn from that set. For a fixed set of matrices, a sequence of matrices drawn from that set is called extremal if the associated sequence of partial products achieves this maximal rate of growth. An influential conjecture of J. Lagarias and Y. Wang asked whether every finite set of matrices admits an extremal sequence which is periodic. This is equivalent to the assertion that every finite set of matrices admits an extremal sequence with bounded subword complexity. Counterexamples were subsequently constructed which have the property that every extremal sequence has at least linear subword complexity. In this paper we extend this result to show that for each integer p ≥ 1, there exists a pair of square matrices of dimension 2p(2p+1 − 1) for which every extremal sequence has subword complexity at least 2−p2np.

scholarly journals Finite groups of essential dimension 2

2013 ◽  
Vol 88 (3) ◽  
pp. 555-585 ◽  
Author(s):  
Alexander Duncan
Keyword(s):  
Finite Groups ◽  
Essential Dimension ◽  
Dimension 2

Application of cross correlation to HREM images of surfaces

1987 ◽  
Vol 45 ◽  
pp. 754-755
Author(s):  
D. E. Luzzi ◽  
L. D. Marks ◽  
M. I. Buckett
Keyword(s):  
Cross Correlation ◽  
A Priori ◽  
Matrix Material ◽  
Correlation Method ◽  
Accurate Knowledge ◽  
Complex Image ◽  
Fourier Filtering ◽  
The Matrix ◽  
Low Pass ◽  
Data Reduction Technique

As the HREM becomes increasingly used for the study of dynamic localized phenomena, the development of techniques to recover the desired information from a real image is important. Often, the important features are not strongly scattering in comparison to the matrix material in addition to being masked by statistical and amorphous noise. The desired information will usually involve the accurate knowledge of the position and intensity of the contrast. In order to decipher the desired information from a complex image, cross-correlation (xcf) techniques can be utilized. Unlike other image processing methods which rely on data massaging (e.g. high/low pass filtering or Fourier filtering), the cross-correlation method is a rigorous data reduction technique with no a priori assumptions.We have examined basic cross-correlation procedures using images of discrete gaussian peaks and have developed an iterative procedure to greatly enhance the capabilities of these techniques when the contrast from the peaks overlap.

Towards 1-Ångstrom-resolution STEM

1993 ◽  
Vol 51 ◽  
pp. 996-997
Author(s):  
H.S. von Harrach ◽  
D.E. Jesson ◽  
S.J. Pennycook
Keyword(s):  
High Resolution ◽  
Field Emission ◽  
Phase Contrast ◽  
Spherical Aberration ◽  
A Priori ◽  
Dark Field ◽  
Image Resolution ◽  
Objective Lens ◽  
Annular Dark Field ◽  
First Results

Phase contrast TEM has been the leading technique for high resolution imaging of materials for many years, whilst STEM has been the principal method for high-resolution microanalysis. However, it was demonstrated many years ago that low angle dark-field STEM imaging is a priori capable of almost 50% higher point resolution than coherent bright-field imaging (i.e. phase contrast TEM or STEM). This advantage was not exploited until Pennycook developed the high-angle annular dark-field (ADF) technique which can provide an incoherent image showing both high image resolution and atomic number contrast.This paper describes the design and first results of a 300kV field-emission STEM (VG Microscopes HB603U) which has improved ADF STEM image resolution towards the 1 angstrom target. The instrument uses a cold field-emission gun, generating a 300 kV beam of up to 1 μA from an 11-stage accelerator. The beam is focussed on to the specimen by two condensers and a condenser-objective lens with a spherical aberration coefficient of 1.0 mm.

Treating Velopharyngeal Inadequacy Using Bilateral Buccal Flap Revision Palatoplasty

2019 ◽  
Vol 4 (5) ◽  
pp. 878-892
Author(s):  
Joseph A. Napoli ◽  
Linda D. Vallino
Keyword(s):  
Systematic Review ◽  
Obstructive Sleep Apnea ◽  
Sleep Apnea ◽  
Cleft Lip ◽  
Cleft Lip And Palate ◽  
A Priori ◽  
Sufficient Evidence ◽  
Obstructive Sleep ◽  
Before And After ◽  
Buccal Flap

Purpose The 2 most commonly used operations to treat velopharyngeal inadequacy (VPI) are superiorly based pharyngeal flap and sphincter pharyngoplasty, both of which may result in hyponasal speech and airway obstruction. The purpose of this article is to (a) describe the bilateral buccal flap revision palatoplasty (BBFRP) as an alternative technique to manage VPI while minimizing these risks and (b) conduct a systematic review of the evidence of BBFRP on speech and other clinical outcomes. A report comparing the speech of a child with hypernasality before and after BBFRP is presented. Method A review of databases was conducted for studies of buccal flaps to treat VPI. Using the principles of a systematic review, the articles were read, and data were abstracted for study characteristics that were developed a priori. With respect to the case report, speech and instrumental data from a child with repaired cleft lip and palate and hypernasal speech were collected and analyzed before and after surgery. Results Eight articles were included in the analysis. The results were positive, and the evidence is in favor of BBFRP in improving velopharyngeal function, while minimizing the risk of hyponasal speech and obstructive sleep apnea. Before surgery, the child's speech was characterized by moderate hypernasality, and after surgery, it was judged to be within normal limits. Conclusion Based on clinical experience and results from the systematic review, there is sufficient evidence that the buccal flap is effective in improving resonance and minimizing obstructive sleep apnea. We recommend BBFRP as another approach in selected patients to manage VPI. Supplemental Material https://doi.org/10.23641/asha.9919352

Project MATCH secondary a priori hypotheses

Addiction ◽  
1997 ◽  
Vol 92 (12) ◽  
pp. 1671-1698 ◽  
Author(s):  
Project Match Research Group
Keyword(s):  
A Priori ◽  
Project Match

Vergleich einer Papier-Bleistift- und einer computergestützten Version des Leistungsprüfsystems (LPS)

Diagnostica ◽  
2002 ◽  
Vol 48 (3) ◽  
pp. 115-120 ◽  
Author(s):  
Stefan Troche ◽  
Beatrice Rammstedt ◽  
Thomas Rammsayer
Keyword(s):  
A Priori

Zusammenfassung. Der zunehmende Einsatz computergestützter diagnostischer Verfahren führt zwangsläufig zur Frage nach der Äquivalenz zwischen konventionellen Papier-Bleistift-Versionen und entsprechenden Computertranspositionen. Zur Überprüfung der Äquivalenz zwischen der computergestützten Version des Leistungsprüfsystems (LPS) im Hogrefe Testsystem und der Papier-Bleistift-Version wurden 131 Versuchspersonen mit beiden Verfahren getestet. Heterogene Ergebnisse zwischen der Papier-Bleistift- und der Computerversion belegen, dass nicht a priori von der Äquivalenz beider Versionen ausgegangen werden kann, und weisen nachdrücklich auf die Notwendigkeit systematischer Äquivalenzprüfungen hin. Eine an Hand einer zweiten Stichprobe von 40 Testpersonen durchgeführte Überprüfung der Retest-Reliabilität der computergestützten Version des LPS ergab für ein Retest-Intervall von zwei Wochen Reliabilitätskoeffizienten zwischen rtt = 0.55 und rtt = 0.94. In der Diskussion werden mögliche Gründe für die Nicht-Äquivalenz der beiden LPS-Versionen identifiziert.

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