For any finite Galois field extension $mathsf{K}/mathsf{F}$, with Galois group $G = mathrm{Gal}(mathsf{K}/mathsf{F})$, there exists an element $alpha in mathsf{K}$ whose orbit $Gcdotalpha$ forms an $mathsf{F}$-basis of $mathsf{K}$. Such an $alpha$ is called a normal element and $Gcdotalpha$ is a normal basis. We introduce a probabilistic algorithm for testing whether a given $alpha in mathsf{K}$ is normal, when $G$ is either a finite abelian or a metacyclic group. The algorithm is based on the fact that deciding whether $alpha$ is normal can be reduced to deciding whether $sum_{g in G} g(alpha)g in mathsf{K}[G]$ is invertible; it requires a slightly subquadratic number of operations. Once we know that $alpha$ is normal, we show how to perform conversions between the working basis of $mathsf{K}/mathsf{F}$ and the normal basis with the same asymptotic cost.

High-order entropy-stable discontinuous Galerkin (DG) methods for nonlinear conservation laws reproduce a discrete entropy inequality by combining entropy conservative finite volume fluxes with summation-by-parts (SBP) discretization matrices. In the DG context, on tensor product (quadrilateral and hexahedral) elements, SBP matrices are typically constructed by collocating at Lobatto quadrature points. Recent work has extended the construction of entropy-stable DG schemes to collocation at more accurate Gauss quadrature points.

In this work, we extend entropy-stable Gauss collocation schemes to non-conforming meshes. Entropy-stable DG schemes require computing entropy conservative numerical fluxes between volume and surface quadrature nodes. On conforming tensor product meshes where volume and surface nodes are aligned, flux evaluations are required only between "lines" of nodes. However, on non-conforming meshes, volume and surface nodes are no longer aligned, resulting in a larger number of flux evaluations. We reduce this expense by introducing an entropy-stable mortar-based treatment of non-conforming interfaces via a face-local correction term, and provide necessary conditions for high-order accuracy. Numerical experiments in both two and three dimensions confirm the stability and accuracy of this approach.

A mammalian quadruped walking system for providing visibility in dimly lit conditions features a body harness having a first side top shoulder strap, a second side top shoulder strap, a bottom strap, an upper body strap, a lower body strap, and a breast shield. The breast shield features a powerful bicycle's strength planar reflector that is only red or blue. The system features a harness extension having an extension first end located at an intersection of a first side top shoulder strap second end, a second side top shoulder strap second end and an upper body strap midpoint. A powerful bicycle's strength spherical red bead reflector is located adjacent to a spherical blue bead reflector close to a harness extension second end. The system features an external light source emitting light in a horizontal beam between 22 inches and 54 inches from a ground surface.

A clamp assembly includes a body member having a cable groove formed therein to receive a cable. A keeper is connected to the body member and has a lower surface adapted to engage the cable received in the cable groove. A biasing member is disposed between the keeper and the body member.

An electronic circuit for amplifying signals with two components in phase quadrature, which includes: a feedback amplifier with a feedback capacitor; a switch that drives charging and discharging of the feedback capacitor; an additional capacitor; and a coupling circuit, which alternatively connects the additional capacitor in parallel to the feedback capacitor or else decouples the additional capacitor from the feedback capacitor. The switch opens at a first instant, where a first one of the two components assumes a first zero value; the coupling circuit decouples the additional capacitor from the feedback capacitor in a way synchronous with a second instant, where the first component assumes a second zero value.

The invention provides a method for acquiring fragment ion spectra of substances in complex substance mixtures wherein a trapped ion mobility spectrometer (“TIMS”) is used as the ion mobility separation device coupled to a triple quadrupole mass filter assembly. The fragment ion spectra may be used for the identification of high numbers of proteins in complex mixtures, or for a safe quantification of some substances, by their fragment ion mass spectra in a mass spectrometer with upstream substance separator. TIMS, in particular equipped with parallel accumulation, provides the unique possibility to prolong the ion accumulation duration to find more detectable ion species without decreasing the measuring capacity for fragment ion mass spectra. The high measurement capacity for fragment ion mass spectra permits the repeated measurement of low abundance ion species such as to improve the quality of the fragment ion spectra.

Former Hampshire all-rounder Glenn Maxwell's World Cup heroics were not enough to earn him a place in Australia's Test squad for the Ashes series against England or a preceding tour of the West Indies.

JAMES Vince will interrupt his wedding weekend to find out who the rest of his Southern Brave teammates are.

Southern Brave will have the chance to add a wildcard signing before the inaugural edition of The Hundred.

A producer on 'The Nine Lives of Ozzy Osbourne', Jack Osbourne spills why the former Black Sabbath frontman and his wife Sharon were reluctant to share his health battle with the world.

Fans are upset after seeing the daughter of Lil Wayne is missing from photos taken during a Cinco de Mayo party thrown by Future's girlfriend, for which she earns backlash as she seemingly ignores social distancing order.

Fans are upset after seeing the daughter of Lil Wayne is missing from photos taken during a Cinco de Mayo party thrown by Future's girlfriend, for which she earns backlash as she seemingly ignores social distancing order.

Rob Papen has announced the release of the Quad software synthesizer in VST, AU and AAX plugin formats for Windows and Mac. The sonic palette is huge, through the vast modulation possibilities that QUAD has to offer. The sound sculpting tools start in each Oscillator and are the Phase Distortion and WaveShaper. These tools are […]

The post Rob Papen launches Quad in VST/AU/AAX format at $79 USD intro price appeared first on rekkerd.org.

RICHARD COCKERILL believes that a full programme of Guinness PRO14 play-offs would be a fairer way to end the current season if possible, even though his own Edinburgh team would be one of the beneficiaries if the league went straight to a final.

SquadCast's version 2 brings new support for more browsers and even mobile devices! Plus, more accessible pricing.

Universal Audio releases UAD Software v9.1 along with five new plugins for Apollo Audio Interfaces and UAD Accelerators.

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The post Universal Audio Releases UAD v9.1 + New Plugins appeared first on Dubspot Blog.

Universal Audio releases UAD Software v9.2 along with five new plugins for Apollo Audio Interfaces and UAD Accelerators.

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The post Universal Audio Releases UAD v9.2 + New Plugins appeared first on Dubspot Blog.

Karen and Bradley discuss OSCON and GUADEC.

Show Notes:

Segment 0 (00:36)

• Bradley represents FSF on the GNOME Advisory Board. (02:20)
• Bradley points out it's very dangerous when you can buy voting rights of a 501(c)(3) by paying money, such as the structure of OSI. Karen notes that contribution-based membership works very well for GNOME. (03:50)
• Bradley is concerned about the future of OSI's license list now that votes in OSI are for sale. (04:30)
• Bradley received an O'Reilly Open Source Award at OSCON 2012. Bradley blogged an acceptance speech for the award. (08:50)
• The Python award and the Perl White Camel award is also given at OSCON. (12:35)
• Karen mentioned FLOSS Foundations, and asked if there was a meeting at OSCON. Bradley mentioned it had been primarily rolled into Jono Bacon's CLS conference. (15:10)

Segment 1 (17:56)

• Bradley wrote in a post about the GUADEC 2010 conference to note how welcoming the community was. Karen described GUADEC 2012 as very similar in nature. (21:25)
• Karen mentioned her husband Mike had a similar reaction to GUADEC 2012 that Bradley had to GUADEC 2010. (23:50)

Send feedback and comments on the cast to <oggcast@faif.us>. You can keep in touch with Free as in Freedom on our IRC channel, #faif on irc.freenode.net, and by following Conservancy on on Twitter and and FaiF on Twitter.

Free as in Freedom is produced by Dan Lynch of danlynch.org. Theme music written and performed by Mike Tarantino with Charlie Paxson on drums.

The content of this audcast, and the accompanying show notes and music are licensed under the Creative Commons Attribution-Share-Alike 4.0 license (CC BY-SA 4.0).

By Patrick Markey

QUITO, Ecuador (Reuters) - Ousted Ecuadorean PresidentLucio Gutierrez and his family fled Quito for asylum in Brazilon Sunday four days after street protests against hisincreasingly unpopular government forced him from office.

Ecuador's former president began his life in exile in Brazil on Sunday, ending a four-day drama that began when protesters accusing him of abuse of power drove him from office and forced him to take refuge in the Brazilian ambassador's residence.

Quade Green is expected to start for Washington in Friday's regular-season opener against No. 16 Baylor.

Coach Mike Hopkins faces his first serious adversity during his three-year tenure and his handling of the point-guard situation will likely determine the course of the season.

Despite a lack of experience at directing an offense, Jamal Bey is being tasked to replace Huskies point guard Quade Green, who has been ruled academically ineligible and is out until at least March 20.

The dog squad catches five teenage boys hiding in a shed, bringing to an end an alleged crime spree that included car theft, armed robbery and break-ins at two supermarkets and three service stations.

Police say a pipe bomb found in Mullumbimby on the NSW far north coast has been rendered safe and has been taken away for forensic examination.

Paralysed from the neck down after a football tackle 26 years ago, Brett Morris finishes the Gold Coast Marathon Fun Run in a wheelchair in under an hour, and he's "very happy it's done".

Quad bike manufacturers claim ACCC-favoured mandatory rollover protection will not improve safety as another child dies in rural NSW on Monday.

Quad bike manufacturer Honda has described the Government's new roll bar rules as a "ban by stealth" and says that today is a "disappointing day for farm safety".

Stock market spammers are at it again. This time promoting the R.C.H.A stock.

Montreal Hip-hop Collective Triple-R Has Signed With Squash Comp And Released Their Debut Album “Red Rum Records”

Montreal Hip-hop Collective Triple-R Has Signed With Squash Comp And Released Their Debut Album “Red Rum Records”

Ecuador closed its borders because of the coronavirus outbreak the same weekend Colorado closed its ski resorts

IBM has been recognized as a Leader in the Gartner Magic Quadrant for Solid-State Arrays (SSA) for the fourth year in a row.

IBM has been recognized as a storage software Leader in the 2017 Gartner Magic Quadrant for Data Center Backup and Recovery Solutions1. In its Magic Quadrants’, Gartner analysts evaluate technology and solutions with an ‘Ability to Execute’ and a ‘Completeness of Vision’.

IBM Security today announced it has been positioned by Gartner, Inc. as a Leader for the sixth consecutive year in the Magic Quadrant for Enterprise Mobility Management Suites1 for its ability to execute and completeness of vision.

IBM today announced that for the seventh consecutive year, Gartner, Inc. has named IBM as a leader in the April 2017 Gartner Magic Quadrant for Multichannel Campaign Management.