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A Tradeoff Between Length and Width in Resolution

Neil Thapen
2016 Theory of Computing  
We describe a family of CNF formulas in n variables, with small initial width, which have polynomial length resolution refutations.  ...  By a result of Ben-Sasson and Wigderson it follows that they must also have narrow resolution refutations, of width O( √ n log n).  ...  Acknowledgements I am grateful to Jakob Nordström for making me aware of this problem, and to Jakob Nordström and Nicola Galesi for helpful comments on an early version of this paper.  ... 
doi:10.4086/toc.2016.v012a005 dblp:journals/toc/Thapen16 fatcat:n6nggae5mbaajdmmsouw3kp33e

On "A Flexible Window Function for Spectral Analysis" [Letter to Editor]

Mustafa Altinkaya
2011 IEEE Signal Processing Magazine  
the mentioned classical tradeoff between spectral leakage and frequency resolution.  ...  CONCLUSION A window derived from the Butterworth filter does allow a tradeoff between frequency resolution and sidelobe attenuation, but it has no special property to eliminate this tradeoff.  ... 
doi:10.1109/msp.2011.941099 fatcat:7qw5g7ci5nfytpivxt26bx235e

Vertical Resolution of Temperature Profiles Obtained from Remote Radiation Measurements

Barney J. Conrath
1972 Journal of the Atmospheric Sciences  
Thus, there is a tradeoff between vertical resolution and accuracy 9 and the best choice for q must be determined by the particular application.  ...  The resulting relationship is called the "tradeoff curve" and can be used to analyze the tradeoff between vertical resolution and errors in the estimated temperature due to random errors in the measurements  ... 
doi:10.1175/1520-0469(1972)029<1262:vrotpo>;2 fatcat:ggyyt6nrcvf2vdm2plrypqlhea

Analysis of resolution for an amplitude-steered array

Catherine H. Frazier, W. Jack Hughes, William D. O'Brien
2000 Journal of the Acoustical Society of America  
The dependence of axial resolution on the length of the array is a unique feature of the amplitude-steered array, leading to an interesting tradeoff between lateral and axial resolution.  ...  For the linear amplitude-steered array, we show that both lateral and axial resolution are limited by the length of the array.  ...  In addition to the resolution tradeoff that arises due to the length of the array, there is an additional tradeoff between axial and lateral resolution due to the processing.  ... 
doi:10.1121/1.428629 pmid:10830365 fatcat:3se2xc7qnbcs5f3oulgun3jjuy

Optimality of size-width tradeoffs for resolution

Maria Luisa Bonet, Nicola Galesi
2001 Computational Complexity  
This is a consequence of our main result: we show the optimality of the general relationship called size-width tradeoff in Ben-Sasson & Wigderson.  ...  This paper is concerned with the complexity of proofs and of searching for proofs in resolution.  ...  Part of this work was done while Nicola Galesi was a member of the School of Mathematics at the Institute for Advanced Study (Princeton) supported by a NSF grant CCR-9987845.  ... 
doi:10.1007/s000370100000 fatcat:fl4vm3wqljd7hnbhac7thu2mdi

The effect of length bin width on growth estimation in integrated age-structured stock assessments

Cole C. Monnahan, Kotaro Ono, Sean C. Anderson, Merrill B. Rudd, Allan C. Hicks, Felipe Hurtado-Ferro, Kelli F. Johnson, Peter T. Kuriyama, Roberto R. Licandeo, Christine C. Stawitz, Ian G. Taylor, Juan L. Valero
2016 Fisheries Research  
In the context of estimation, there generally was a predictable tradeoff between estimation accuracy and model run time, with finer model and data bins always improving estimation accuracy and model convergence  ...  The effect of choices regarding the number and width of these bins on model output is unclear, and these choices are made inconsistently in assessments across regions and species.  ...  Partial support for this research came from a Eunice Kennedy Schriver National Institute of Child Health and Human Development research infrastructure grant, R24HD042828, to the Center for Studies in Demography  ... 
doi:10.1016/j.fishres.2015.11.002 fatcat:rkbf3zt3dzaczfqrnwmnkyopfq

Optimal slice thickness for object detection with longitudinal partial volume effects in computed tomography

Pascal Monnin, Nicolas Sfameni, Achille Gianoli, Sandrine Ding
2016 Journal of Applied Clinical Medical Physics  
This optimization is based on the tradeoff between axial resolution and noise.  ...  The tradeoff between detectability and dose is maximized for a slice spacing of half the slice thickness associated with a slice width equal to the characteristic object width.  ...  This optimization is based on the tradeoff between axial resolution and noise.  ... 
doi:10.1002/acm2.12005 pmid:28291920 pmcid:PMC5689876 fatcat:srq6flbmtvawxj5qwtawbaez74

Sensor performance specifications

2001 IEEE Control Systems  
Sensitivity determines the ratio between the input resolution and the output resolution. Figure 12 . 12 Sensitivity affects the tradeoff between the input width and output width.  ...  Sensitivity affects the tradeoff between the input resolution and output resolution.  ...  He has been a visiting faculty member at the University of Leeds and the University of Glasgow. His secondary interests include the history of technology, Native American history, and Celtic music.  ... 
doi:10.1109/37.939939 fatcat:x3stwobvg5gf5e454wzhenzuja

Interconnect Bundle Sizing Under Discrete Design Rules

Konstantin Moiseev, Avinoam Kolodny, Shmuel Wimer
2010 IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems  
We present a dynamic programming (DP) algorithm for simultaneous sizing and spacing of all wires in interconnect bundles, yielding the optimal power-delay tradeoff curve.  ...  The lithography used for 32 nanometers and smaller VLSI process technologies restricts the admissible interconnect widths and spaces to a small set of discrete values with some interdependencies, so that  ...  ACKNOWLEDGEMENT The authors would like to express their deep gratitude for the excellent comments and suggestions provided by the reviewers, which enabled significant improvements in the manuscript.  ... 
doi:10.1109/tcad.2010.2051633 fatcat:qc53b5uinfgjxdg2pqeubiq7iy

A New Kind of Tradeoffs in Propositional Proof Complexity

Alexander Razborov
2016 Journal of the ACM  
Our construction and proof methods combine, in a non-trivial way, two previously known techniques: the hardness escalation method based on substitution formulas and expansion.  ...  We exhibit an unusually strong tradeoff in propositional proof complexity that significantly deviates from the established pattern of almost all results of this kind.  ...  Acknowledgement I am greatly indebted to Jakob Nordström and the anonymous referee for extensive and very useful comments on an earlier version of this paper.  ... 
doi:10.1145/2858790 fatcat:7r76sjqs5vehvam4fz4zbfavbu

Enabling EUV Resist Research at the 1x and Smaller Regime

Patrick Naulleau, Christopher Anderson, Weilun Chao, Kenneth Goldberg, Antoine Wojdyla, Suchit Bhattarai, Andrew Neureuther, Frank Goodwin, Mark Neisser
2015 Journal of Photopolymer Science and Technology (Fotoporima Konwakai shi)  
A variety of resists, both chemically amplified and not, have been developed meeting resolution needs, but falling short on sensitivity and line-width roughness (LWR).  ...  Note that resolution is an absolute mandatory requirement, the true tradeoff that must be considered is between sensitivity and contact hole printing is a crucial application for extreme ultraviolet lithography  ...  Noting that resolution is an absolute mandatory requirement for EUV resists and cannot be relaxed, the true tradeoff that must be considered is between sensitivity and LWR.  ... 
doi:10.2494/photopolymer.28.777 fatcat:hdygmihwwne5hbjjtfa2ypfzvq

Characteristics of multiplexing parallel beam (MPB) by using Monte Carlo simulation [article]

Zhao Jing-Wu, Ma Jia-Yi, Shi Xiao-Dong
2013 arXiv   pre-print
However the effective hole length is used in the calculation of the system matrix to correct for the penetration, which has a satisfactory result.  ...  It is discussed that the point spread function (PSF) of multiplexing parallel beam (MPB) is shift-invariant; the spatial resolution is linear as a function of depth h and the geometrical sensitivity is  ...  On the contrary, it suffers from low sensitivity when the resolution is high. Therefore there is tradeoff between the sensitivity and resolution.  ... 
arXiv:1311.4612v1 fatcat:erzzyqpew5gfjmpgfkmqyq7g6a

100-km sensing range Brillouin optical time domain analysis based on time-division multiplexing

Yongkang Dong, Xiaoyi Bao, Liang Chen
2011 21st International Conference on Optical Fiber Sensors  
In experiment, a 100-km sensing fiber is divided into 11 sections based on gain-controlled principle, and a spatial resolution of 0.6 m and 2 m are obtained at the end of 75 km and 100 km, respectively  ...  To avoid the limitation of pump depletion or excess amplification in a conventional long-range BOTDA, in our scheme instead of a pulse and a CW wave but two pulses, i. e., a probe pulse and a pump pulse  ...  The authors acknowledge the research supports from Natural Science and Engineering Research Council of Canada and Canada Research Chair Program.  ... 
doi:10.1117/12.885224 fatcat:jrryqfcwd5gt3nnwafb36hneyi

Weak gratings in silicon-on-insulator for spectral filters based on volume holography

Marie Verbist, Dries Van Thourhout, Wim Bogaerts
2013 Optics Letters  
The filters are implemented in high-contrast SOI by modulating the width of the shallow etched sides of a ridge waveguide.  ...  Measurements show that this is a promising approach to integrate flexible and versatile filters on photonic chips to enable more complex applications.  ...  Verbist acknowledges the Institute for the Promotion of Innovation through Science and Technology in Flanders (IWT Vlaanderen).  ... 
doi:10.1364/ol.38.000386 pmid:23381446 fatcat:hbbykixjxrhxlm5ctyztcgdq2e


Brian Eriksson, Robert Nowak
2007 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro  
The tradeoffs between ballistic imaging (time-gated imaging of first-arrival, unscattered photons) and conventional imaging for resolving tumors in biological scattering media are examined.  ...  For conventional imaging, a numerical approximation is used to find the asymptotic resolution using the scattering and absorption coefficients of the medium.  ...  For the ballistic regime, a trade-off between resolution, distance, laser intensity and confidence level was shown.  ... 
doi:10.1109/isbi.2007.356915 dblp:conf/isbi/ErikssonN07 fatcat:nlwg3x5vc5hchkhpzarglzi54e
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