proxima

Updated dates for the west side of the CTA Track Structure approximately 85ft south of W. Grace Street Work Hours:

Updated dates for the west side of the CTA Track Structure approximately 85ft south of W. Grace Street Work Hours for lead abatement and painting.




proxima

Justin Martyr (100-167 A.D.), Philosopher, Apologist, and Martyr (1 June 167 A.D.) - Justin was born around 100 A.D. (both his birth and death dates are approximate) at Flavia Neapolis (ancient Shechem, modern Nablus) in Samaria (the middle portion of Isr

Justin became a Christian, but he continued to wear the cloak that was the characteristic uniform of the professional teacher of philosophy. His position was that pagan philosophy, especially Platonism, is not simply wrong, but is a partial grasp of the truth, and serves as "a schoolmaster to bring us to Christ." He engaged in debates and disputations with non-Christians of all varieties, pagans, Jews, and heretics. He opened a school of Christian philosophy and accepted students, first at Ephesus and then later at Rome. There he engaged the Cynic philosopher Crescens in debate, and soon after was arrested on the charge of practicing an anauthorized religion. (It is suggested that Crescens lost the debate and denounced Justin to the authorities out of spite.) He was tried before the Roman prefect Rusticus, refused to renounce Christianity, and was put to death by beheading along with six of his students, one of them a woman. A record of the trial, probably authentic, is preserved, known as The Acts of Justin the Martyr. ... Justin's works are found in the multi-volumed set called The Ante-nicene Fathers [Church leaders before the Council of Nicea in 325 A.D.], and in various other collections of early Christian writings.



  • Christian Church History Study
  • 1. 0 A.D. to 312 A.D. - Birth of Jesus and the early Church Age

proxima

Shaw Industries to Invest Approximately $90 Million to Expand Domestic Manufacturing of Resilient Flooring

Shaw Industries is further enhancing its domestic resilient flooring manufacturing capabilities with a $90 million investment in Plant RP in Ringgold, Georgia, which makes SPC and LVT resilient flooring. This latest phase of investment will more than double the facility’s resilient flooring production capacity by 2026. 




proxima

Ingredion announces approximately $100 million of capital investments

Growing demand for specialty ingredients is driving expansion of the ingredient-solutions provider’s manufacturing capacity.




proxima

Atlantic Hurricane CENTER MIAMI FL AL182024 348 AM EST THU NOV 7 2024 .HURRICANE RAFAEL CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF Tropical Cyclone WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE THE LATEST PUBLIC Advisory FROM THE NA

 
 000
 WTNT83 KNHC 070848
 TCVAT3
 
 RAFAEL WATCH/WARNING ADVISORY NUMBER 15
 NWS NATIONAL HURRICANE CENTER MIAMI FL     AL182024
 348 AM EST THU NOV 7 2024
 
 .HURRICANE RAFAEL
 
 CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF
 TROPICAL CYCLONE WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE
 THE LATEST PUBLIC ADVISORY FROM THE NATIONAL HURRICANE CENTER FOR
 THE PRECISE LATERAL EXTENT OF WIND WATCHES AND WARNINGS ALONG THE
 COAST...AS WELL AS THE APPROXIMATE LATERAL EXTENT OF SURGE WATCHES
 AND WARNINGS. THE PRECISE EXTENT OF SURGE WATCHES AND WARNINGS
 CAN BE FOUND IN THE NWS NATIONAL DIGITAL FORECAST DATABASE HAZARD
 GRIDS.
 
 FLZ077-078-071000-
 /O.CAN.KNHC.TR.W.1018.000000T0000Z-000000T0000Z/
 348 AM EST THU NOV 7 2024
 
 $$
 
 ATTN...WFO...KEY...
 




proxima

Eastern Pacific Hurricane CENTER MIAMI FL EP092023 207 AM PDT MON AUG 21 2023 .Post-Tropical Cyclone HILARY CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF TROPICAL Cyclone WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE THE LATEST PUBLIC

 
 000
 WTPZ84 KNHC 210907
 TCVEP4
 
 HILARY WATCH/WARNING ADVISORY NUMBER 20
 NWS NATIONAL HURRICANE CENTER MIAMI FL     EP092023
 207 AM PDT MON AUG 21 2023
 
 .POST-TROPICAL CYCLONE HILARY
 
 CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF
 TROPICAL CYCLONE WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE
 THE LATEST PUBLIC ADVISORY FROM THE NATIONAL HURRICANE CENTER FOR
 THE PRECISE LATERAL EXTENT OF WIND WATCHES AND WARNINGS ALONG THE
 COAST...AS WELL AS THE APPROXIMATE LATERAL EXTENT OF SURGE WATCHES
 AND WARNINGS. THE PRECISE EXTENT OF SURGE WATCHES AND WARNINGS
 CAN BE FOUND IN THE NWS NATIONAL DIGITAL FORECAST DATABASE HAZARD
 GRIDS.
 
 CAZ043-048-050-055>058-060>062-065-087-088-358-362-366>383-548-552-
 554-211015-
 /O.CAN.KNHC.TR.W.2009.000000T0000Z-000000T0000Z/
 207 AM PDT MON AUG 21 2023
 
 $$
 
 ATTN...WFO...LOX...SGX...
 




proxima

A 10% swing in win probability corresponds (approximately) to a 0.4% swing in predicted vote

There’s some confusion regarding jumps in election forecasts. New information is coming in every day, so it makes sense that forecasts change too. But they don’t change very much. Each new piece of information tells you only a little bit. … Continue reading





proxima

An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces

Martin Ehler and Karlheinz Gröchenig
Math. Comp. 93 (), 2885-2919.
Abstract, references and article information






proxima

Threshold approximations for the exponential of a factorized operator family with correctors taken into account

T. A. Suslina
St. Petersburg Math. J. 35 (), 537-570.
Abstract, references and article information





proxima

Cats can learn words approximately four times quicker than human toddlers


Cat’s fast language acquisition process differs from how dogs learn words, often requiring training and rewards. However, cats form associations through subtle behaviors, such as gaze.




proxima

Prognosis of Proximal and Distal Vertebrobasilar Artery Stent Placement [CLINICAL PRACTICE]

BACKGROUND AND PURPOSE:

Vertebrobasilar artery stent placement (VBS) is potentially effective in preventing recurrent posterior circulation strokes; however, the incidences of in-stent restenosis and stented-territory ischemic events based on the location of stent placement have rarely been investigated. We aimed to investigate the characteristics and prognosis of VBS between intracranial and extracranial.

MATERIALS AND METHODS:

This study was single-center retrospective cohort study, and we obtained medical records of patients who underwent VBS. We compared clinical and periprocedural factors between extracranial and intracranial VBS. The primary outcomes included the incidence of in-stent restenosis (>50% reduction in lumen diameter) and stented-territory ischemic events. We compared the incidence of in-stent restenosis and stented-territory ischemic events by using Kaplan-Meier curves.

RESULTS:

Of the 105 patients, 41 (39.0%) underwent extracranial VBS, and 64 (61.0%) underwent intracranial VBS. During the follow-up, the incidences of in-stent restenosis and stented-territory ischemic events were 15.2% and 22.9%, respectively. The procedure time was longer (47.7 ± 19.5 minutes versus 74.5 ± 35.2 minutes, P < .001), and the rate of residual stenosis (≥30%) just after VBS was higher (2 [4.9%] versus 24 [37.5%], P < .001) in intracranial VBS than in extracranial VBS. Also, the incidences of in-stent restenosis were significantly higher in intracranial VBS than in extracranial VBS (4.9% versus 21.9%, P = .037). On the other hand, the incidences of stented-territory ischemic events (7.3% versus 32.8%, P < .001) were significantly higher in intracranial VBS than in extracranial VBS. The main mechanisms of stroke were artery-to-artery embolism (2 [66.7%]) in extracranial VBS, and artery-to-artery embolism (9 [42.9%]) and branch atheromatous disease (8 [38.1%]) in intracranial VBS. The Kaplan-Meier curve demonstrated a higher incidence of in-stent restenosis and stented-territory ischemic events in intracranial VBS than in extracranial VBS (P = .008 and P = .002, respectively).

CONCLUSIONS:

During the follow-up, the incidence of in-stent restenosis and stented-territory ischemic events was higher in patients with intracranial VBS than in those with extracranial VBS. The higher rates of postprocedural residual stenosis might have contributed to the increased risk of in-stent restenosis. Furthermore, prolonged procedure time and additional stroke mechanism, including branch atheromatous disease, might be associated with a higher risk of stented-territory ischemic events in intracranial VBS.




proxima

BGC Partners And Cantor Fitzgerald Raise Approximately $12 Million On BGC's Eleventh Annual Charity Day - BGC Charity Day 2015

Dozens of nonprofits, celebrities and BGC partners unite for Charity Day 2015.




proxima

Cantor Fitzgerald and BGC Partners Raise Approximately $12 Million on Cantor Fitzgerald's Annual Charity Day - Cantor Fitzgerald Charity Day 2015

Dozens of charities and celebrity ambassadors join Cantor Fitzgerald on their 5th annual Charity Day in New York




proxima

Spinless formulation of linearized adiabatic connection approximation and its comparison with second order N-electron valence state perturbation theory

Faraday Discuss., 2024, Accepted Manuscript
DOI: 10.1039/D4FD00054D, Paper
Yang Guo, Katarzyna Pernal
The adiabatic connection (AC) approximation, along with its linearized variant AC0, was introduced as a method of obtaining dynamic correlation energy. When using a complete active space self-consistent field (CASSCF)...
The content of this RSS Feed (c) The Royal Society of Chemistry




proxima

A perturbational approach for approximating heterogeneous agent models [electronic resource] / Anmol Bhandari, Thomas Bourany, David Evans, Mikhail Golosov

Cambridge, MA. : National Bureau of Economic Research, 2023




proxima

Fast, Robust, and Approximately Correct: Estimating Mixed Demand Systems [electronic journal].

National Bureau of Economic Research




proxima

The history of approximation theory [electronic resource] : from Euler to Bernstein / Karl-Georg Steffens

Boston : Birkhauser, 2006




proxima

Proxima Centauri Might Be More Sunlike Than We Thought

In August astronomers announced that the nearby star Proxima Centauri hosts an Earth-sized planet (called Proxima b) in its habitable zone. At first glance, Proxima […]

The post Proxima Centauri Might Be More Sunlike Than We Thought appeared first on Smithsonian Insider.




proxima

OPTN recruitment to a Golgi-proximal compartment regulates immune signalling and cytokine secretion [RESEARCH ARTICLE]

Thomas O'Loughlin, Antonina J. Kruppa, Andre L. R. Ribeiro, James R. Edgar, Abdulaziz Ghannam, Andrew M. Smith, and Folma Buss

Optineurin (OPTN) is a multifunctional protein involved in autophagy, secretion as well as NF-B and IRF3 signalling and OPTN mutations are associated with several human diseases. Here we show that, in response to viral RNA, OPTN translocates to foci in the perinuclear region, where it negatively regulates NF-B and IRF3 signalling pathways and downstream pro-inflammatory cytokine secretion. These OPTN foci consist of a tight cluster of small membrane vesicles, which are positive for ATG9A. Disease mutations linked to POAG cause aberrant foci formation in the absence of stimuli, which correlates with the ability of OPTN to inhibit signalling. Using proximity labelling proteomics, we identify the LUBAC complex, CYLD and TBK1 as part of the OPTN interactome and show that these proteins are recruited to this OPTN-positive perinuclear compartment. Our work uncovers a crucial role for OPTN in dampening NF-B and IRF3 signalling through the sequestration of LUBAC and other positive regulators in this viral RNA-induced compartment leading to altered pro-inflammatory cytokine secretion.




proxima

A new tool for finding approximate symmetry




proxima

Smoke from forest fires kills approximately 340,000 people each year

Inhaling smoke from forest, grass and peat fires causes about 340,000 premature deaths worldwide every year, according to new research. Reducing the number and extent of human-induced landscape fires could significantly improve air quality, mitigate climate change and reduce the rate of biodiversity loss, say scientists.




proxima

ODD FELLOWS ROAD BRIDGE OVER RAILROAD TO CLOSE - Replacement of structure will take approximately one year

LYNCHBURG – Motorists who use Odd Fellows Road from the US 29 Business Lynchburg Expressway to access the Main Post Office, Division of Motor Vehicles or other businesses/organizations in the immediate area will need to use alternate routes beginning Monday, October 8. The bridge on Odd Fellows Road over the railroad will be closed for approximately one year beginning that date for replacement.




proxima

Atlantic Hurricane CENTER MIAMI FL AL092019 1107 PM EDT FRI SEP 13 2019 .Tropical Storm HUMBERTO CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF TROPICAL Cyclone WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE THE LATEST PUBLIC Advisory FR

 
 000
 WTNT84 KNHC 140307
 TCVAT4
 
 HUMBERTO WATCH/WARNING ADVISORY NUMBER 6
 NWS NATIONAL HURRICANE CENTER MIAMI FL     AL092019
 1107 PM EDT FRI SEP 13 2019
 
 .TROPICAL STORM HUMBERTO
 
 CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF
 TROPICAL CYCLONE WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE
 THE LATEST PUBLIC ADVISORY FROM THE NATIONAL HURRICANE CENTER FOR
 THE PRECISE LATERAL EXTENT OF WIND WATCHES AND WARNINGS ALONG THE
 COAST...AS WELL AS THE APPROXIMATE LATERAL EXTENT OF SURGE WATCHES
 AND WARNINGS. THE PRECISE EXTENT OF SURGE WATCHES AND WARNINGS
 CAN BE FOUND IN THE NWS NATIONAL DIGITAL FORECAST DATABASE HAZARD
 GRIDS.
 
 FLZ047-054-059-064-141-147-140415-
 /O.CAN.KNHC.TR.A.1009.000000T0000Z-000000T0000Z/
 1107 PM EDT FRI SEP 13 2019
 
 $$
 
 ATTN...WFO...MLB...
 




proxima

Atlantic Hurricane CENTER MIAMI FL AL122019 547 AM EDT WED SEP 25 2019 .Tropical Storm KAREN CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF TROPICAL Cyclone WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE THE LATEST PUBLIC Advisory FROM T

 
 000
 WTNT82 KNHC 250947
 TCVAT2
 
 KAREN WATCH/WARNING ADVISORY NUMBER 13
 NWS NATIONAL HURRICANE CENTER MIAMI FL     AL122019
 547 AM EDT WED SEP 25 2019
 
 .TROPICAL STORM KAREN
 
 CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF
 TROPICAL CYCLONE WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE
 THE LATEST PUBLIC ADVISORY FROM THE NATIONAL HURRICANE CENTER FOR
 THE PRECISE LATERAL EXTENT OF WIND WATCHES AND WARNINGS ALONG THE
 COAST...AS WELL AS THE APPROXIMATE LATERAL EXTENT OF SURGE WATCHES
 AND WARNINGS. THE PRECISE EXTENT OF SURGE WATCHES AND WARNINGS
 CAN BE FOUND IN THE NWS NATIONAL DIGITAL FORECAST DATABASE HAZARD
 GRIDS.
 
 PRZ001>013-VIZ001-002-251100-
 /O.CAN.KNHC.TR.W.1012.000000T0000Z-000000T0000Z/
 547 AM AST WED SEP 25 2019
 
 $$
 
 ATTN...WFO...SJU...
 




proxima

Atlantic Hurricane CENTER MIAMI FL AL162019 445 PM EDT SAT OCT 19 2019 .Post-Tropical Cyclone NESTOR CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF TROPICAL Cyclone WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE THE LATEST PUBLIC Advisor

 
 000
 WTNT81 KNHC 192045
 TCVAT1
 
 NESTOR WATCH/WARNING ADVISORY NUMBER 10
 NWS NATIONAL HURRICANE CENTER MIAMI FL     AL162019
 445 PM EDT SAT OCT 19 2019
 
 .POST-TROPICAL CYCLONE NESTOR
 
 CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF
 TROPICAL CYCLONE WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE
 THE LATEST PUBLIC ADVISORY FROM THE NATIONAL HURRICANE CENTER FOR
 THE PRECISE LATERAL EXTENT OF WIND WATCHES AND WARNINGS ALONG THE
 COAST...AS WELL AS THE APPROXIMATE LATERAL EXTENT OF SURGE WATCHES
 AND WARNINGS. THE PRECISE EXTENT OF SURGE WATCHES AND WARNINGS
 CAN BE FOUND IN THE NWS NATIONAL DIGITAL FORECAST DATABASE HAZARD
 GRIDS.
 
 FLZ027-028-034-118-127-128-134-192145-
 /O.CAN.KNHC.TR.W.1016.000000T0000Z-000000T0000Z/
 445 PM EDT SAT OCT 19 2019
 
 $$
 
 ATTN...WFO...TAE...
 




proxima

Atlantic Hurricane CENTER MIAMI FL AL052019 752 PM EDT SAT SEP 7 2019 .Post-Tropical Cyclone DORIAN CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF TROPICAL Cyclone WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE THE LATEST PUBLIC Advisory

 
 000
 WTNT85 KNHC 072352
 TCVAT5
 
 DORIAN WATCH/WARNING INTERMEDIATE ADVISORY NUMBER 59A
 NWS NATIONAL HURRICANE CENTER MIAMI FL     AL052019
 752 PM EDT SAT SEP 7 2019
 
 .POST-TROPICAL CYCLONE DORIAN
 
 CAUTION...THIS PRODUCT ONLY APPROXIMATELY CONVEYS THE EXTENT OF
 TROPICAL CYCLONE WIND AND SURGE WATCHES AND WARNINGS. PLEASE SEE
 THE LATEST PUBLIC ADVISORY FROM THE NATIONAL HURRICANE CENTER FOR
 THE PRECISE LATERAL EXTENT OF WIND WATCHES AND WARNINGS ALONG THE
 COAST...AS WELL AS THE APPROXIMATE LATERAL EXTENT OF SURGE WATCHES
 AND WARNINGS. THE PRECISE EXTENT OF SURGE WATCHES AND WARNINGS
 CAN BE FOUND IN THE NWS NATIONAL DIGITAL FORECAST DATABASE HAZARD
 GRIDS.
 
 MEZ017-029-030-080100-
 /O.CAN.KNHC.TR.W.1005.000000T0000Z-000000T0000Z/
 752 PM EDT SAT SEP 7 2019
 
 $$
 
 ATTN...WFO...CAR...
 




proxima

Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization. (arXiv:2005.00989v2 [math.AP] UPDATED)

In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique.




proxima

Regularized vortex approximation for 2D Euler equations with transport noise. (arXiv:1912.07233v2 [math.PR] UPDATED)

We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vortices driven by a regularized Biot-Savart kernel and the same common noise. The approximation happens by sending the number of particles $N$ to infinity and the regularization $epsilon$ in the Biot-Savart kernel to $0$, as a suitable function of $N$.




proxima

Converging outer approximations to global attractors using semidefinite programming. (arXiv:2005.03346v1 [math.OC])

This paper develops a method for obtaining guaranteed outer approximations for global attractors of continuous and discrete time nonlinear dynamical systems. The method is based on a hierarchy of semidefinite programming problems of increasing size with guaranteed convergence to the global attractor. The approach taken follows an established line of reasoning, where we first characterize the global attractor via an infinite dimensional linear programming problem (LP) in the space of Borel measures. The dual to this LP is in the space of continuous functions and its feasible solutions provide guaranteed outer approximations to the global attractor. For systems with polynomial dynamics, a hierarchy of finite-dimensional sum-of-squares tightenings of the dual LP provides a sequence of outer approximations to the global attractor with guaranteed convergence in the sense of volume discrepancy tending to zero. The method is very simple to use and based purely on convex optimization. Numerical examples with the code available online demonstrate the method.




proxima

Approximate Performance Measures for a Two-Stage Reneging Queue. (arXiv:2005.03239v1 [math.PR])

We study a two-stage reneging queue with Poisson arrivals, exponential services, and two levels of exponential reneging behaviors, extending the popular Erlang A model that assumes a constant reneging rate. We derive approximate analytical formulas representing performance measures for the two-stage queue following the Markov chain decomposition approach. Our formulas not only give accurate results spanning the heavy-traffic to the light-traffic regimes, but also provide insight into capacity decisions.




proxima

A Note on Approximations of Fixed Points for Nonexpansive Mappings in Norm-attainable Classes. (arXiv:2005.03069v1 [math.FA])

Let $H$ be an infinite dimensional, reflexive, separable Hilbert space and $NA(H)$ the class of all norm-attainble operators on $H.$ In this note, we study an implicit scheme for a canonical representation of nonexpansive contractions in norm-attainable classes.




proxima

Numerical study on the effect of geometric approximation error in the numerical solution of PDEs using a high-order curvilinear mesh. (arXiv:1908.09917v2 [math.NA] UPDATED)

When time-dependent partial differential equations (PDEs) are solved numerically in a domain with curved boundary or on a curved surface, mesh error and geometric approximation error caused by the inaccurate location of vertices and other interior grid points, respectively, could be the main source of the inaccuracy and instability of the numerical solutions of PDEs. The role of these geometric errors in deteriorating the stability and particularly the conservation properties are largely unknown, which seems to necessitate very fine meshes especially to remove geometric approximation error. This paper aims to investigate the effect of geometric approximation error by using a high-order mesh with negligible geometric approximation error, even for high order polynomial of order p. To achieve this goal, the high-order mesh generator from CAD geometry called NekMesh is adapted for surface mesh generation in comparison to traditional meshes with non-negligible geometric approximation error. Two types of numerical tests are considered. Firstly, the accuracy of differential operators is compared for various p on a curved element of the sphere. Secondly, by applying the method of moving frames, four different time-dependent PDEs on the sphere are numerically solved to investigate the impact of geometric approximation error on the accuracy and conservation properties of high-order numerical schemes for PDEs on the sphere.




proxima

Fast Cross-validation in Harmonic Approximation. (arXiv:1903.10206v3 [math.NA] UPDATED)

Finding a good regularization parameter for Tikhonov regularization problems is a though yet often asked question. One approach is to use leave-one-out cross-validation scores to indicate the goodness of fit. This utilizes only the noisy function values but, on the downside, comes with a high computational cost. In this paper we present a general approach to shift the main computations from the function in question to the node distribution and, making use of FFT and FFT-like algorithms, even reduce this cost tremendously to the cost of the Tikhonov regularization problem itself. We apply this technique in different settings on the torus, the unit interval, and the two-dimensional sphere. Given that the sampling points satisfy a quadrature rule our algorithm computes the cross-validations scores in floating-point precision. In the cases of arbitrarily scattered nodes we propose an approximating algorithm with the same complexity. Numerical experiments indicate the applicability of our algorithms.




proxima

Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. (arXiv:1706.02205v4 [math.NA] UPDATED)

Dense kernel matrices $Theta in mathbb{R}^{N imes N}$ obtained from point evaluations of a covariance function $G$ at locations ${ x_{i} }_{1 leq i leq N} subset mathbb{R}^{d}$ arise in statistics, machine learning, and numerical analysis. For covariance functions that are Green's functions of elliptic boundary value problems and homogeneously-distributed sampling points, we show how to identify a subset $S subset { 1 , dots , N }^2$, with $# S = O ( N log (N) log^{d} ( N /epsilon ) )$, such that the zero fill-in incomplete Cholesky factorisation of the sparse matrix $Theta_{ij} 1_{( i, j ) in S}$ is an $epsilon$-approximation of $Theta$. This factorisation can provably be obtained in complexity $O ( N log( N ) log^{d}( N /epsilon) )$ in space and $O ( N log^{2}( N ) log^{2d}( N /epsilon) )$ in time, improving upon the state of the art for general elliptic operators; we further present numerical evidence that $d$ can be taken to be the intrinsic dimension of the data set rather than that of the ambient space. The algorithm only needs to know the spatial configuration of the $x_{i}$ and does not require an analytic representation of $G$. Furthermore, this factorization straightforwardly provides an approximate sparse PCA with optimal rate of convergence in the operator norm. Hence, by using only subsampling and the incomplete Cholesky factorization, we obtain, at nearly linear complexity, the compression, inversion and approximate PCA of a large class of covariance matrices. By inverting the order of the Cholesky factorization we also obtain a solver for elliptic PDE with complexity $O ( N log^{d}( N /epsilon) )$ in space and $O ( N log^{2d}( N /epsilon) )$ in time, improving upon the state of the art for general elliptic operators.




proxima

Delayed approximate matrix assembly in multigrid with dynamic precisions. (arXiv:2005.03606v1 [cs.MS])

The accurate assembly of the system matrix is an important step in any code that solves partial differential equations on a mesh. We either explicitly set up a matrix, or we work in a matrix-free environment where we have to be able to quickly return matrix entries upon demand. Either way, the construction can become costly due to non-trivial material parameters entering the equations, multigrid codes requiring cascades of matrices that depend upon each other, or dynamic adaptive mesh refinement that necessitates the recomputation of matrix entries or the whole equation system throughout the solve. We propose that these constructions can be performed concurrently with the multigrid cycles. Initial geometric matrices and low accuracy integrations kickstart the multigrid, while improved assembly data is fed to the solver as and when it becomes available. The time to solution is improved as we eliminate an expensive preparation phase traditionally delaying the actual computation. We eliminate algorithmic latency. Furthermore, we desynchronise the assembly from the solution process. This anarchic increase of the concurrency level improves the scalability. Assembly routines are notoriously memory- and bandwidth-demanding. As we work with iteratively improving operator accuracies, we finally propose the use of a hierarchical, lossy compression scheme such that the memory footprint is brought down aggressively where the system matrix entries carry little information or are not yet available with high accuracy.




proxima

Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues. (arXiv:2005.03433v1 [math.NA])

In this paper, we analyze and implement the Dirichlet spectral-Galerkin method for approximating simply supported vibrating plate eigenvalues with variable coefficients. This is a Galerkin approximation that uses the approximation space that is the span of finitely many Dirichlet eigenfunctions for the Laplacian. Convergence and error analysis for this method is presented for two and three dimensions. Here we will assume that the domain has either a smooth or Lipschitz boundary with no reentrant corners. An important component of the error analysis is Weyl's law for the Dirichlet eigenvalues. Numerical examples for computing the simply supported vibrating plate eigenvalues for the unit disk and square are presented. In order to test the accuracy of the approximation, we compare the spectral-Galerkin method to the separation of variables for the unit disk. Whereas for the unit square we will numerically test the convergence rate for a variable coefficient problem.




proxima

Online Proximal-ADMM For Time-varying Constrained Convex Optimization. (arXiv:2005.03267v1 [eess.SY])

This paper considers a convex optimization problem with cost and constraints that evolve over time. The function to be minimized is strongly convex and possibly non-differentiable, and variables are coupled through linear constraints.In this setting, the paper proposes an online algorithm based on the alternating direction method of multipliers(ADMM), to track the optimal solution trajectory of the time-varying problem; in particular, the proposed algorithm consists of a primal proximal gradient descent step and an appropriately perturbed dual ascent step. The paper derives tracking results, asymptotic bounds, and linear convergence results. The proposed algorithm is then specialized to a multi-area power grid optimization problem, and our numerical results verify the desired properties.




proxima

Method and system to automatically establish NFC link between NFC enabled electronic devices based on proximate distance

Presented is a near field communication system and method to automatically establish an interconnection between two electronic devices. The system includes a first electronic device including an NFC chip communicatively coupled to a passive NFC tag, where the NFC tag having an integrated circuit with a predefined information content, a second device including an active NFC reader configured to read the predefined information content from the NFC tag based on an identification of a proximate distance therebetween, and where the NFC tag is capable of transmitting an activation signal to the NFC chip to enable transition of the NFC chip from a first state to a second state such as to establish a near field wireless communication link between the two devices to enable exchange of digital content therebetween.




proxima

Device for shaping a book casing spine to be oriented approximately evenly distributed toward a book block spine

A device is provided to shape a spine of a book casing positioned horizontally spread out flat and oriented to be distributed evenly over a spine of a book block. Two fold-shaping rails are arranged extending in a direction parallel to one another. A movable, shaping tool is arranged to face the inside of the book casing spine to shape a web on the book casing spine with the aid of the two fold-shaping rails. The shaping tool includes two spaced-apart support bars that extend parallel to the fold-shaping rails and are arranged to be adjustable so that together they adjust the web width of the book casing spine in a direction transverse to the direction of extension of the fold-shaping rails.




proxima

Packaging Device Having Plural Microstructures Disposed Proximate to Die Mounting Region

An example method includes providing a packaging device includes a substrate having an integrated circuit die mounting region. A plurality of microstructures, each including an outer insulating layer over a conductive material, are disposed proximate a side of the integrated circuit die mounting region. An underfill material is disposed between the substrate and the integrated circuit die, the microstructures preventing spread of the underfill. In another example method, a via can be formed in a substrate and the substrate etched to form a bump or pillar from the via. An insulating material can be formed over the bump or pillar. In another example method, a photoresist deposited over a seed layer and patterned to form openings. A conductive material is plated in the openings, forming a plurality of pillars or bumps. The photoresist and exposed seed layer are removed. The conductive material is oxidized to form an insulating material.




proxima

ASYNCHRONOUS SUCCESSIVE APPROXIMATION ANALOG-TO-DIGITAL CONVERTER AND RELATED METHODS AND APPARATUS

An ultrasound device including an asynchronous successive approximation analog-to-digital converter and method are provided. The device includes at least one ultrasonic transducer, a plurality of asynchronous successive-approximation-register (SAR) analog-to-digital converters (ADC) coupled to the at least one ultrasonic transducer, at least one asynchronous SAR in the plurality having a sample and hold stage, a digital-to-analog converter (DAC), a comparator, and control circuitry, wherein a DAC update event following at least one bit conversion is synchronized to a corresponding DAC update event of at least one other ADC in the plurality of ADCs.




proxima

Loopmasters releases Proxima Grime sounds pack for Xfer Serum

Loopmasters has announced its latest Patchworx series soundset Proxima Grime, a collection of 64 presets for the Serum wavetable synth by Xfer Records. This pack by Proxima features a selection of meticulously crafted heavy basses, twisted synths, dark pads, colorful FX and more. Proxima has been involved in music most of his life. His first […]

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proxima

F&S zijn van proxima centauri (NRC, ma, 20-04-20)




proxima

Finite-dimensional approximations to the Poincaré–Steklov operator for general elliptic boundary value problems in domains with cylindrical and periodic exits to infinity

S. A. Nazarov
Trans. Moscow Math. Soc. 80 (2020), 1-51.
Abstract, references and article information




proxima

CBD News: Covering some 22 per cent of the world's land surface, mountains are home to spectacular landscapes, a wide variety of ecosystems, a great diversity of species, and distinctive human communities, with approximately 955 million people, or 13




proxima

A linearly convergent majorized ADMM with indefinite proximal terms for convex composite programming and its applications

Ning Zhang, Jia Wu and Liwei Zhang
Math. Comp. 89 (2020), 1867-1894.
Abstract, references and article information