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The Dazzling Mad Hatter Holiday Festival, Parade & Tree Lighting Celebrates it's 10th Year for the City of Vallejo where the Fabled Wonderland will Emerge from the Rabbit Hole in the Historic Downtown

California's most whimsical and enchanting festival of wanderlust and fantasy attracts thousands to the historic downtown with its awe inspiring fire-shooting Wonderland recreations that turns the city into a fantasy world for children and adults.




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The Spectacular Mad Hatter Holiday Festival, Parade & Tree Lighting Celebrates it's 10th Year for the City of Vallejo where the Fabled Wonderland will Emerge from the Rabbit Hole in the Historic Downtown

California's most whimsical and enchanting festival of wanderlust and fantasy attracts thousands to the historic downtown with its awe inspiring fire-shooting Wonderland recreations that turns the city into a fantasy world for children and adults.




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The 2019 Mad Hatter Holiday Festival, Parade & Tree Lighting Reschedules it's Celebration Date to Saturday, December 14th, 2019 - 10th Year for the City of Vallejo

California's most whimsical and enchanting festival of wanderlust and fantasy attracts thousands to the historic downtown with its awe inspiring fire-shooting Wonderland recreations that turns the city into a fantasy world for children and adults.




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BHS, Inc. Releases Parallel Reel Payout Trailer for Bulk Cable Pulls

The Parallel Reel Payout Trailer from BHS, Inc. is a turnkey solution for electrical contractors that simplifies cable pulls at the job site.




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Temporary Road Closure - Surfers Paradise

Streets affected: Via Roma (lane closure with traffic control – expect delays) between Isle of Capri Bridge and Verona Avenue

Region:

Category:

Date: 
Wednesday, May 20, 2020 - 17:00 to Thursday, May 21, 2020 - 01:00
planned: 
1
Read more: 

Also affected: Amalfi Drive and Brindisi Avenue

Start date: 20 May 2020

End date: 20 May 2020

Duration: 7am – 3pm

Reason: ENERGEX works - to facilitate pole replacement for the Isle of Capri Decongestion Project




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Temporary Road Closure - Surfers Paradise

Streets affected: Norfolk Avenue (half road closure with traffic control – expect delays) between Ferny Avenue and River Drive

Region:

Category:

Date: 
Thursday, May 7, 2020 - 17:00 to Saturday, May 30, 2020 - 03:00
planned: 
1
Read more: 

Also affected: Oak Avenue, Ferny Avenue and Pine Avenue

Start date: 7 May 2020

End date: 15 May 2020   (* verge/footpath closed until 29 May 2020)

Duration: 7am – 5pm

Reason: To facilitate restoration works and final water main replacement and connection





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The Spit, Surfers Paradise and Coolangatta remain closed.

Mayor Tom Tate today announced that beach and car park restrictions would remain in place until next Monday.

"I would like to congratulate Gold Coasters for their efforts over the long weekend with the vast majority of people doing the right thing

"However I have decided to keep the three beaches closed until next Monday. It is still school holidays and we are not in a position to relax just yet. 

"I will review it next Monday."

"It is tough love, but it is still school holidays and the closures are working."

The Spit beach, Coolangatta Beach and Surfers Paradise Beach were closed last week due to high numbers of people continuing to visit beaches despite the warnings from the State and Federal Governments.

The City has also shut car parks beach and oceanside from Broadwater Parklands to Coolangatta.

Feature video: 
Not featured




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India’s COVID-19 tally reaches 59,662, deaths near 2,000; fresh cases among repatriated Indians, paramilitary forces emerges as a major concern

The nationwide tally of confirmed COVID-19 cases reached 59,662 on Saturday and the death toll rose to 1,981 with the country registering an increase of 95 deaths and 3,320 cases in 24 hours till Saturday morning, the Union Health Ministry said

The post India’s COVID-19 tally reaches 59,662, deaths near 2,000; fresh cases among repatriated Indians, paramilitary forces emerges as a major concern appeared first on Firstpost.




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Managing the Productivity Paradox

Tony Schwartz, president and CEO of The Energy Project and author of "The Way We're Working Isn't Working."




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Mental Preparation Secrets of Top Athletes, Entertainers, and Surgeons

Dan McGinn, senior editor at Harvard Business Review, talks about what businesspeople can learn from how top performers and athletes prepare for their big moments. In business, a big sales meeting, presentation, or interview can be pivotal to success. The same goes for pep talks that motivate employees. McGinn talks about both the research and practical applications of mental preparation and motivation. He’s the author of the book, "Psyched Up: How the Science of Mental Preparation Can Help You Succeed." His article, “The Science of Pep Talks,” is in the July-August 2017 issue of Harvard Business Review.




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MSMEs need govt push to benefit from comparative advantage over China-made consumer goods: Report

It further said that although 2020 is a lost year, in terms of trade, India can think long-term and build relations so that it can occupy the space vacated by China.




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Ashok Paranjpe joins LIC Mutual Fund Trustee as an independent director

Apart from Paranjpe, HN Motiwalla, Rammohan N Bhave and Thomas Panamthanath are other independent directors of the company while TC Suseel Kumar is a nominee director on the board of LIC Mutual Fund Trustee.




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Don’t forward work emails to a personal a/c, separate work & life: Centre

“Create a separate user profile with minimal privileges for work-only use. Close all work-related windows, applications, files, and documents when not in use. Do not use work email addresses to sign up for unauthorised, free tools. Grant access to your employees to corporate network only though a company-approved VPN with multi-factor authentication,” the advisory states.




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Global investors now more confident about India than China: Pacific Paradigm Advisors

Global investors now more confident about India than China: Pacific Paradigm Advisors





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Varanasi's ghats, Hampi's attractions & Goa's iconic churches: Destinations which are every photographer's paradise

India’s diverse culture is truly a photographer’s delight.




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Federal Court Permanently Bars Former Liberty Tax Service Owners from Tax Preparation Business

A federal court in Tampa, Florida has permanently barred Steven Doletzky, formerly doing business as Liberty Tax Service, from operating a tax return preparation business and preparing federal tax returns for others, the Justice Department announced today. The court also ordered Doletzky to disgorge $175,000 of ill-gotten gains that the United States alleges he received from filing federal tax returns that claimed improper tax refunds, understated customers’ federal tax liabilities, or otherwise included false or fraudulent claims.




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New Within-Chain Parallelisation in Stan 2.23: This One‘s Easy for Everyone!

What’s new? The new and shiny reduce_sum facility released with Stan 2.23 is far more user-friendly and makes it easier to scale Stan programs with more CPU cores than it was before. While Stan is awesome for writing models, as the size of the data or complexity of the model increases it can become impractical […]




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In preparation for the Memorial Day Weekend, Grand Canyon National Park would like to remind everyone to be fire aware and “know before you go” to your public lands

Although Grand Canyon National Park received below-average precipitation this winter, the warm spring caused vegetation in the park to thrive. Now, fine fuels are quickly drying out as winds and temperatures rise, increasing the risk of wildfire. https://www.nps.gov/grca/learn/news/2012-05-24_fire.htm




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In preparation for the Memorial Day Weekend, Grand Canyon National Park would like to remind everyone to be fire aware and “know before you go” to your public lands

Although Grand Canyon National Park received below-average precipitation this winter, the warm spring caused vegetation in the park to thrive. Now, fine fuels are quickly drying out as winds and temperatures rise, increasing the risk of wildfire. https://www.nps.gov/grca/learn/news/memorial-day-fire-aware.htm




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Grand Canyon National Park’s Lead Helitack and Paramedic, Eric Graff, Wins National Award

Eric Graff received the National Park Service's inaugural Tom Clausing Aviation All Risk Programs Award. https://www.nps.gov/grca/learn/news/eric-graff-wins-national-award.htm




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Grand Canyon National Park Equestrian Unit to Participate in 127th Rose Parade

To kick off the new year and to celebrate the National Park Service’s Centennial, Grand Canyon National Park is participating in the 127th Rose Parade Friday, January 1, 2016. https://www.nps.gov/grca/learn/news/20151218-rose-bowl.htm




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CSS3 Parallax Scrolling

Using CSS3 to parallax scroll text.




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NAB Files Comments With FCC Supporting Geotargeted Separate Programming On FM Booster Stations

The proposal by GEOBROADCAST SOLUTIONS to allow FM boosters to transmit geotargeted programming like ads and news separate from the primary station's programming has gained the support of … more




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Courteney Cox says it's 'hard' being separated from Snow Patrol's Johnny

The Friends star said this is the longest time she's being away from Johnny McDaid since first meeting more than seven years ago




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The National Puerto Rican Day Parade

The National Puerto Rican Day Parade in NYC is the largest parade in the country.




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Dos artículos de perspectivas sobre los medicamentos para la hipertensión y su uso continuo a fin de combatir el COVID-19

DALLAS, 1 de abril del 2020 — Algunos cardiólogos de Wuhan, China y otros países recomiendan a los pacientes con hipertensión arterial que continúen tomando sus medicamentos, aunque los efectos de algunos se hayan visto afectados por las infecciones ...




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28 grupos de pacientes y consumidores instan a la administración a implementar un período de inscripción especial para Healthcare.gov

WASHINGTON, D.C., 1 de abril del 2020 – 28 grupos de pacientes y consumidores que representan a millones de personas en todo el país con afecciones de salud preexistentes emitieron la siguiente declaración sobre la decision de la administración de no...




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Más de $14 millones en becas de investigación otorgadas para soluciones de tecnología de la salud centradas en la salud del corazón y del cerebro, incluidos los proyectos especiales relacionados con el COVID-19 y las ECV

DALLAS, 2 de abril del 2020 – La American Heart Association, la organización voluntaria líder mundial dedicada a un mundo con vidas más duraderas y saludables, anunció hoy que se otorgarán más de $14 millones en becas de investigación científica a cuatro...




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Alerta de medios de la AHA: El COVID-19 genera preguntas sobre un mayor riesgo para las personas con ECV y los sobrevivientes de accidentes cerebrovasculares

Sala de prensa sobre el COVID-19 de la AHA DALLAS, 3 de abril del 2020 – El COVID-19 está generando preguntas y preocupaciones generalizadas sobre el mayor riesgo que implica para aquellos con cardiopatías y sobrevivientes de accidentes...




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Más de 200 grupos de pacientes solicitaron a la Administración que tomara medidas adicionales para solucionar la escasez crítica de ventiladores y equipos de protección individual, y garantizara la seguridad de los proveedores y los pa

WASHINGTON, D. C., 3 de abril del 2020— Hoy, más de 200 organizaciones de protección de pacientes, médicas y de salud pública enviaron una carta a altos funcionarios de la administración de Donald Trump, en la cual se apela a la Administración para que...




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Precaución recomendada para el tratamiento del COVID-19 con hidroxicloroquina y azitromicina para pacientes con enfermedad cardiovascular

DALLAS, 8 de abril del 2020— El impacto mundial del COVID-19 continúa aumentando y, cada día, la comunidad científica aprende más sobre el efecto y la interacción de las enfermedades cardiovasculares con el COVID-19. Juntos, la American Heart Association...




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Lecciones online gratuitas para todas las comunidades religiosas

DALLAS, 8 de abril del 2020— Aproximadamente 120 millones de personas en Estados Unidos tienen una o más enfermedades cardiovasculares, las cuales pueden aumentar el riesgo de complicaciones producto del COVID-19. Además, aquellos con hipertensión,...




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Directores ejecutivos de salud pública: Inscripciones abiertas para el cuidado de la salud a fin de salvar vidas

Sala de prensa de la AHA sobre el COVID-19 DALLAS, 10 de abril del 2020 – Nancy Brown, directora ejecutiva de la American Heart Association, la organización voluntaria líder mundial centrada en la salud del corazón y del cerebro, se reunió con los...




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Fecha límite de solicitud extendida para becas universitarias y becas escolares de programas escolares de la American Heart Association

DALLAS, 14 de abril del 2020. La American Heart Association ha extendido la fecha límite para solicitudes de becas individuales y becas escolares ofrecidas a través del Kids Heart Challenge y el American Heart Challenge hasta el 30 de junio. Debido a que...




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Nueva capacitación sobre el manejo de oxigenación y ventilación para profesionales de la salud

DALLAS, 3 de abril del 2020 – Con la pandemia de COVID-19, más pacientes presentan disnea (dificultad para respirar) y necesitan ventiladores para ayudarlos a respirar. Debido a que los volúmenes de pacientes en hospitales y unidades de cuidados...




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Universitarios reciben becas para ayudar a abordar las disparidades de salud

DALLAS, 5 de mayo de 2020 — Diez estudiantes universitarios recibirán becas de US$10,000 dólares de la American Heart Association que servirán para favorecer el trabajo que desempeñan estos alumnos para cerrar las brechas de disparidad en el ámbito de la...




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The Paramount in Boston

Daily Photo – The Paramount in Boston Here’s the famous Paramount Theater in Boston. It looks pretty cool during the daytime, but when all the lights come on at dusk, it’s the best time to take a photo. This shot is using a technique called compression, one that some of you photographers may already know […]




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Concussion in American Versus European Professional Soccer: A Decade-Long Comparative Analysis of Incidence, Return to Play, Performance, and Longevity

A study to comparatively examine the effects of sports-related concussions (SRC) on athletes in Major League Soccer (MLS) and the English Premier League (EPL) in terms of incidence, return to play (RTP), performance, and career longevity.




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Adam Todd celebrates 21st birthday with parade

CEDAR RAPIDS — Adam Todd, adjusting like many Iowans to a social-distanced lifestyle since the novel coronavirus hit, celebrated a milestone 21st birthday with a drive-by parade Friday...




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Adam Todd celebrates 21st birthday with parade

CEDAR RAPIDS — Adam Todd, adjusting like many Iowans to a social-distanced lifestyle since the novel coronavirus hit, celebrated a milestone 21st birthday with a drive-by parade Friday evening.

Todd, best known for being ABC World News Tonight Person of the Week in 2016, stood outside the Cedar Rapids house where he lives with his parents, Dale Todd, a Cedar Rapids City Council member, and Sara Todd, watching the cars drive by wishing him a happy birthday.

“My son has a bigger following than I would ever hope to have,” Dale Todd said. “Everybody knows he loves a parade. He loves the trucks and cars and people that are a part of that.

“There’s no better example that ‘it takes a village.’ He has had a team for 21 years.”

Todd, who will be graduating from Washington High School in Cedar Rapids, has Lennox-Gastaut Syndrome, a severe form of epilepsy.

The parade was arranged by his mother, Sara, who invited friends and teachers to drive by between 5 and 6 p.m. to wave, shout happy birthday, hold up a sign, sing a song or do a dance, all from a safe distance — “whatever they’re able to,” she said.

Sara said Adam would have finished his last semester of education had the coronavirus not cut the school year short.

“That makes it extra special,” Sara said. “He hasn’t really gotten to say goodbye to his friends and teachers.

“We have appreciated his teachers so much. They have been a part of his team and really a part of our family.”

Adam, a member of the Washington High School junior varsity track team, captured national attention in 2016 when, during a cross-country race at Noelridge Park, he became distracted and veered from the course. Evan Hansen, a runner from Iowa City High, loped after him and guided him back to the track.

They ran the last mile together, the last two to cross the finish line.

That show of compassion and sportsmanship is what led to ABC News picking both of them as Persons of the Week.

In addition to Friday’s parade, Adam celebrated his birthday by taking his service dog, Turbo, on a run and trying to spot trains. He and his mom saw two.

“It was a good day,” Sara said.

Adam’s birthday cake, made by a family friend, was decorated with a train and a golden retriever that looks like Turbo.

“We were trying to think of a creative way we can help Adam have fun and celebrate him,” Sara said. “He deserves it.”

Comments: (319) 368-8664; grace.king@thegazette.com




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Leveler Presets, LRA Target and Advanced Audio Parameters (Beta)

Lots of users have asked us about more customization and control over the sound of our audio algorithms in the past, so today, we have introduced some advanced algorithm parameters for our singletrack version in a private beta program!

The following new parameters are available:

UPDATE Nov. 2018:
We released a complete rework of the Adaptive Leveler parameters and the description here is not valid anymore!
Please see Auphonic Adaptive Leveler Customization (Beta Update)!

Please join our private beta program and let us know how you use these new features or if you need even more control!

Leveler Presets

Our Adaptive Leveler corrects level differences between speakers, between music and speech and will also apply dynamic range compression to achieve a balanced overall loudness. If you don't know about the Leveler yet, take a look at our Audio Examples.

Leveler presets are basically complete new leveling algorithms, which we have been working on in the past few months:
Our current Leveler tries to normalize all speakers to the same loudness. However, in some cases, you might want more or less loudness differences (dynamic range / loudness range) between the speakers and music segments, or more or less compression, etc.
For these use cases, we have developed additional Leveler Presets and the parameter Maximum Loudness Range.

The following Leveler presets are now available:
Preset Medium:
This is our current leveling algorithm as demonstrated in the Audio Examples.
Preset Hard:
The hard preset reacts faster and applies more gain and compression compared to the medium preset. It is built for recordings with extreme loudness differences, for example very quiet questions from the audience in a lecture recording, extremely soft and loud voices within one audio track, etc.
Preset Soft:
This preset reacts slower, applies less gain and compression compared to the medium preset. Use it if you want to keep more loudness differences (dynamic narration), if you want your voices to sound "less compressed/processed", for dynamic music (concert/classical recordings), background music, etc.
Preset Softer:
Like soft, but softer :)
Preset Speech Medium, Music Soft:
Uses the medium preset in speech segments and the soft preset in music segments. It is built for music live recordings or dynamic music mixes, where you want to amplify all speakers but keep the loudness differences within and between music segments.
Preset Medium, No Compressor:
Like the medium preset, but only (mid-term) leveling and no (short-term) compression is applied. This preset is optimal if you just use a Maximum Loudness Range Target and want to avoid any additional compression as much as possible.
Please let us know your use case, if you need more/other controls or if anything is confusing. The Leveler presets are still in private beta and can be changed as necessary!

Maximum Loudness Range (LRA) Target

The loudness range (LRA) indicates the variation of loudness over the course of a program and is measured in LU (loudness units) - for more details see Loudness Measurement and Normalization or EBU Tech 3342.

The parameter Max Loudness Range controls how much leveling is applied:
volume changes of our Adaptive Leveler will be restricted so that the loudness range of the output file is below the selected value.
High loudness range values will result in very dynamic output files, low loudness range values in compressed output audio. If the LRA value of your input file is already below the maximum loudness range value, no leveling at all will be applied.

It is also important which Leveler Preset you select, for example, if you use the soft(er) preset, it won't be possible to achieve very low loudness range targets.

Also, the Max Loudness Range parameter is not such a precise target value as the Loudness Target. The LRA of your output file might be off a few LU, as it is not reasonable to reach the exact target value.

Use Cases: The Maximum LRA parameter allows you to control the strength of our leveling algorithms, in combination with the parameter Leveler Preset. This might be used for automatic mixdowns with different LRA values for different target platforms (very compressed ones like mobile devices or Alexa, very dynamic ones like home cinema, etc.).

Maximum True Peak Level

This parameter sets the maximum allowed true peak level of the processed output file, which is controlled by the True Peak Limiter after our Global Loudness Normalization algorithms.

If set to Auto (which is the current default), a reasonable value according to the selected loudness target is used: -1dBTP for 23 LUFS (EBU R128) and higher, -2dBTP for -24 LUFS (ATSC A/85) and lower loudness targets.

The maximum true peak level parameter is already available in our desktop program.

Better Hum and Noise Reduction Controls

In addition to the parameter (Noise) Reduction Amount, we now offer two more parameters to control the combination of our Noise and Hum Reduction algorithms:
Hum Base Frequency:
Set the hum base frequency to 50Hz or 60Hz (if you know it), or use Auto to automatically detect the hum base frequency in each speech region.
Hum Reduction Amount:
Maximum hum reduction amount in dB, higher values remove more noise.
In Auto mode, a classifier decides how much hum reduction is necessary in each speech region. Set it to a custom value (> 0), if you prefer more hum reduction or want to bypass our classifier. Use Disable Dehum to disable hum reduction and use our noise reduction algorithms only.

Behavior of noise and hum reduction parameter combinations:

Noise Reduction Amount Hum Base Frequency Hum Reduction Amount
Auto Auto Auto Automatic hum and noise reduction
Auto or > 0 * Disabled No hum reduction, only denoise
Disabled 50Hz Auto or > 0 Force 50Hz hum reduction, no denoise
Disabled Auto Auto or > 0 Automatic dehum, no denoise
12dB 60Hz Auto or > 0 Always do dehum (60Hz) and denoise (12dB)

Advanced Parameters Private Beta and Feedback

At the moment the advanced algorithm parameters are for beta users only. This is to allow us to get user feedback, so we can change the parameters to suit user needs.
Please let us know your case studies, if you need any other algorithm parameters or if you have any questions!

Here are some private beta invitation codes:

y6KCBI4yo0 ksIFEsmI1y BDZec2a21V i4XRGLlVm2 0UDxuS0vbu aaBxi35sKN aaiDSZUbmY bu8lPF80Ih eMsSl6Sf8K DaWpsUnyjo
2YM00m8zDW wh7K2pPmSa jCX7mMy2OJ ZGvvhzCpTF HI0lmGhjVO eXqVhN6QLU t4BH0tYcxY LMjQREVuOx emIogTCAth 0OTPNB7Coz
VIFY8STj2f eKzRSWzOyv 40cMMKKCMN oBruOxBkqS YGgPem6Ne7 BaaFG9I1xZ iSC0aNXoLn ZaS4TykKIa l32bTSBbAx xXWraxS40J
zGtwRJeAKy mVsx489P5k 6SZM5HjkxS QmzdFYOIpf 500AHHtEFA 7Kvk6JRU66 z7ATzwado6 4QEtpzeKzC c9qt9Z1YXx pGSrDzbEED
MP3JUTdnlf PDm2MOLJIG 3uDietVFSL 1i7jZX0Y9e zPkSgmAqqP 5OhcmHIZUP E0vNsPxZ4s FzTIyZIG2r 5EywA0M7r5 FMhpcFkVN5
oRLbRGcRmI 2LTh8GlN7h Cjw6Z3cveP fayCewjE55 GbkyX89Lxu 4LpGZGZGgc iQV7CXYwkH pGLyQPgaha e3lhKDRUMs Skrei1tKIa
We are happy to send further invitation codes to all interested users - please do not hesitate to contact us!

If you have an invitation code, you can enter it here to activate the advanced audio algorithm parameters:
Auphonic Algorithm Parameters Private Beta Activation








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Intel’s Parallel Extensions for JavaScript

Intel’s Parallel Extensions for JavaScript, code named River Trail, hooks into on-chip vector extensions to improve performance of Web applications. Details of Intel’s attempt to get on the JavaScript juggernaut emerged last month at its developer event. The prototype JavaScript extension offered by Intel is intended to allow JavaScript apps to take advantage of modern parallel Read the rest...





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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.




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Data-driven parameterizations of suboptimal LQR and H2 controllers. (arXiv:1912.07671v2 [math.OC] UPDATED)

In this paper we design suboptimal control laws for an unknown linear system on the basis of measured data. We focus on the suboptimal linear quadratic regulator problem and the suboptimal H2 control problem. For both problems, we establish conditions under which a given data set contains sufficient information for controller design. We follow up by providing a data-driven parameterization of all suboptimal controllers. We will illustrate our results by numerical simulations, which will reveal an interesting trade-off between the number of collected data samples and the achieved controller performance.




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Decentralized and Parallelized Primal and Dual Accelerated Methods for Stochastic Convex Programming Problems. (arXiv:1904.09015v10 [math.OC] UPDATED)

We introduce primal and dual stochastic gradient oracle methods for decentralized convex optimization problems. Both for primal and dual oracles the proposed methods are optimal in terms of the number of communication steps. However, for all classes of the objective, the optimality in terms of the number of oracle calls per node in the class of methods with optimal number of communication steps takes place only up to a logarithmic factor and the notion of smoothness. By using mini-batching technique we show that all proposed methods with stochastic oracle can be additionally parallelized at each node.




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A Class of Functional Inequalities and their Applications to Fourth-Order Nonlinear Parabolic Equations. (arXiv:1612.03508v3 [math.AP] UPDATED)

We study a class of fourth order nonlinear parabolic equations which include the thin-film equation and the quantum drift-diffusion model as special cases. We investigate these equations by first developing functional inequalities of the type $ int_Omega u^{2gamma-alpha-eta}Delta u^alphaDelta u^eta dx geq cint_Omega|Delta u^gamma |^2dx $, which seem to be of interest on their own right.




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Continuity in a parameter of solutions to boundary-value problems in Sobolev spaces. (arXiv:2005.03494v1 [math.CA])

We consider the most general class of linear inhomogeneous boundary-value problems for systems of ordinary differential equations of an arbitrary order whose solutions and right-hand sides belong to appropriate Sobolev spaces. For parameter-dependent problems from this class, we prove a constructive criterion for their solutions to be continuous in the Sobolev space with respect to the parameter. We also prove a two-sided estimate for the degree of convergence of these solutions to the solution of the nonperturbed problem.