This facility was started in 2000 and has been continuously upgraded and expanded to meet the growing demand for quality products. This is combined with value for money pricing achievable through adding local value with domestic production facilities.
The formulation plant currently employs over 150 locally appointed staff all of whom receive regular training in all aspects of their work.
Production includes an ISO accredited liquid glyphosate facility with a production capacity of over 3 million litres of glyphosate 360 equivalents per annum. This is without doubt the largest glyphosate amination plant in Africa and is kept well utilized by the ever-increasing demand for Glyphosate products throughout Africa.
A further series of liquid formulation facilities at the same site have a combined production capacity of a further 10 m L per annum of a wide range high quality liquid herbicides.
All production is monitored with a quality control laboratory and specialized staff to ensure that the quality of all products is kept at a consistently high level.
Filling and packaging is done automatically and only SABS approved quality polypropylene packaging is used for this purpose.
Of major importance to the Farmers of Africa has been the new high-load, easy to use wettable granular herbicides formulated in Durban. This Granular Power concept has brought improved environmental characteristics to these products as well as being more user-friendly for the farmer and his operators.
Housed in a separate production area are the two granulation plants; one facility is used mainly for the production of high-load wettable granular products. The second granulation facility produces a specialized pan-granulated herbicide dedicated for the export market.
Product distribution throughout Southern Africa is managed through four major warehouse nodes situated in Phoenix, near Durban, Pomona outside Johannesburg, Paarl in the Western Cape and Port Elizabeth in the expanding markets of the Eastern Cape.
At any one time, an average of 5000 Tons of ready-to-use packaged and labelled products are stored in these warehouses.
The Supply Chain team of 50 people manages the acquisition and distribution of this product with the help of state-of-the-art computer facilities and programmes.


As an experienced team of developers and strategists, we are able to advise on existing Hybris and Wayin extensions or build a custom Hybris / Wayin integration.
Looking to integrate Hybris with Wayin we'd love to talk. We may already have a solution, can offer advice and provide a quotation for your Hybris custom extension.


text:
Flooding in Newhalen threatens houses, smokehouses
KDLG 670AM | By Isabelle Ross
Published February 4, 2020 at 10:48 AM AKST
Catherine Rohlman
According to the city, an ice jam at the bottom of the Newhalen River caused water to flow over the banks of the river near the lower village.
Update Feb. 5, 2020: According to Newhalen city officials, the water has receded by about two feet, and no houses have been damaged.
Original article Feb. 4, 2020:
An ice jam at the mouth of the Newhalen River caused the water to overflow near the city, flooding a portion of the lower village on Friday and threatening four houses. According to city officials, as of Monday afternoon the area was still flooded, and the smokehouses by the river are underwater.
Gladys Askoak, Newhalen's city clerk, said residents near the flood first alerted the city to the situation.
"The family called and let us know, the water's going up really fast," she said. "We didn't know what to do, but there were some guys that went down there with an auger and they tried to get the water to go a different direction."
The Lake and Peninsula Borough issued a local disaster emergency over the weekend, noting that if conditions continue, there could be extensive damage to the sewage lagoon, as well as to sewer lines for residences and the school. City workers are checking on the site daily, and berms put in place to protect that infrastructure have been holding up. This week's temperatures, forecast for the mid-30s, are also expected to alleviate some of the river's icy conditions.
Contact the author at isabelle@kdlg.org or 907-842-2200
News Ice Jam Floodingnewhalen
Isabelle Ross
Izzy Ross is the news director at KDLG, the NPR member station in Dillingham. She reports, edits, and hosts stories from around the Bristol Bay region, and collaborates with other radio stations across the state.
See stories by Isabelle Ross

redpajama_set_name: RedPajamaCommonCrawl


text:
The Bone Shard Daughter
'One of the best fantasy novels I've read in a long time...This book is truly special' Sarah J. Maas 'Epic fantasy at its most human and heartfelt . . . inventive, adventurous and wonderfully written' Alix E. Harrow 'Brilliant world-building, deep intrigue and incredible heart' Megan E. O'Keefe The Sukai Dynasty has ruled the Phoenix Empire for over a century, their mastery of bone shard magic powering the monstrous constructs that maintain law and order. But now the emperor's rule is failing, and revolution is sweeping across the Empire's many islands. Lin is the Emperor's daughter, but a mysterious illness has stolen her childhood memories and her status as heir to the empire. Trapped in a palace of locked doors and old secrets, Lin vows to reclaim her birthright by mastering the forbidden art of bone shard magic. But the mysteries behind such power are dark and deep, and wielding her family's magic carries a great cost. When the revolution reaches the gates of the palace itself, Lin must decide how far she is willing to go to claim her throne - and save her people. The Bone Shard Daughter is an unmissable fantasy debut for 2020 - a captivating tale of magic, revolution and mystery, where a young woman's sense of identity will make or break an empire. 'A bold, ambitious debut' M. R. Carey 'Utterly absorbing. I adored it' Emily A. Duncan 'A triumph. Memorable characters and bone-chilling secrets that keep you turning the pages' K. S. Villoso 'Begins with a spark of intrigue that ignites into a thrilling adventure' Hafsah Faizal 'Intricate and expansive, incisive and thoughtful - a complex web of political and personal intrigue' Kerstin Hall 'A thoroughly fantastic read and I eagerly await the sequel' Kevin Hearne 'Groundbreaking epic fantasy for a new age' Tasha Suri
Average customer rating on Amazon: To read reviews go to Amazon.
Please keep in mind that some of the content that we make available to you through this application comes from Amazon Web Services. All such content is provided to you "as is." This content and your use of it are subject to change and/or removal at any time.


This list is a compilation of our current favorite restaurants located in and around the city of Chicago. We will update it with new favorites as we find them. Good luck and good eating!
A fabulous wine bar and restaurant by Executive Chef Paul Kahan, designed to look like the inside of a wine cellar! We love the community-centered atmosphere and the ridiculously-good medjool dates. No reservations, but don't worry--there are lots of places nearby to grab a cocktail while you wait. Located in the West Loop.
This cozy "hole in the wall" restaurant seats 16 people and has a delicious Asian-inspired menu with traditional bento boxes. We keep going back for the tempura scallops and the Korean beef bulgogi. Great for take-out, too! BYOB. Located in Bucktown.
Amazing tacos starting at $3! Big Star has a great atmosphere, especially in the summer, with lots of outdoor seating and a fun wrap-around bar inside. Cheap beer, great food, and a solid hipster scene make this restaurant one of the most popular hang-outs around. There may be a long wait, so go early or get take-out! Located in Wicker Park.
Our favorite casual brunch place, hands down. They have the friendliest staff and the greatest veggie frittata! Try their burgers on Friday nights too, and don't leave without trying some of their great pickled vegetables. This is a great place to bring your parents. :) BYOB. Located in Bucktown.
Holds a special place in our hearts--the restaurant we went to right after we got engaged. Very comforting, traditional French food in a cozy atmosphere. I could go back here every week and order the roasted chicken with string fries. Located in Lincoln Square.
I can never get enough of this place! Amazing cocktails, great snacks, and fabulous dinner plates. We would be happy just going here for appetizers, but somehow we can never stop there. Definitely try their monkey bread or duck fat fries. Fun modern atmosphere with open-air seating in the summer. Located in Bucktown.
We love DMK for their well-proportioned burgers and awesome milkshakes. They also bring it home with a good beer selection and awesome sweet potato fries. Two locations: Lakeview and Lombard.
Always great food and great service, without fail. Emilio makes amazing food and really knows how to make his guests feel welcome and full! We have a special connection to the Hillside location, so if you're a city dweller you'll have to drive out to this one (we think it's well worth the trip). Two locations: Hillside and Streeterville.
Amazing restaurant by Top Chef winner Stephanie Izard. We were completely blown away by our most recent meal here and were really intrigued by her creative combinations in the kitchen! Make sure to get a reservation at least a month ahead if you want to go on a Friday or Saturday. Located in the West Loop.
Pastry chef Mindy Segal won the James Beard Award for Outstanding Pastry Chef in 2012, if that says anything! Beyond-amazing desserts (obviously), and great burgers and starters too. Don't be afraid to sit at the bar; we did and had excellent service! Laid-back atmosphere with a fun bar and a great community table. Located in Bucktown.
Great craft beers and awesome pub food! Revolution is a really fun place to go with a group. We love their brunches too! Located in Logan Square.
Our favorite Thai food in the city! They're especially known for their Northern Thai dishes; we like their curries the best. Don't be fooled by the look of the outside, this place is awesome! BYOB. Located on Western Avenue in Albany Park.
We've only been to Takashi for their traditional ramen (served on Sundays), but they're ramen is to-die-for and completely authentic. Takashi has won two Michelin stars, so they're not kidding around! (For a more casual experience with traditional ramen, try Takashi's new sister restaurant, Slurping Turtle--we haven't tried it yet, but I'm sure it's delicious.) Located in Bucktown.
In our opinion, Vie is the best restaurant the Chicago suburbs has to offer. Chef Paul Virant serves amazing seasonal and local food in a very elegant atmosphere. We love it! Located in Western Springs.
Hands down the most focused coffee shop in the city. These guys are purists, and their coffee tastes amazing. If you're a triple-shot, extra-flavored syrup person, this might not be the place for you, although they might convert you if you let them.
Right around the corner from our apartment in Bucktown! We love the homey vibe and their tasty drinks and sandwiches. They roast and sell their own beans and also make a mean espresso!
Their shop is about as far north as you can get in the city of Chicago, but you'll find their beans here and there. They always source great coffees and roast in small batches. Pick some up when you have the chance!
Truly a unique interpretation of the coffee bar in Chicago. They don't roast their own beans, but they have a rotating selection of the best offerings from roasters around the country. They are exacting in their preparations and their brew tastes fantastic as a result.
Check back for our coffee coming soon!!!


Best corner unit in Castello, luxury high rise building right in downtown core, walking distance to offices and restaurants! This two bedrooms and two bathrooms condo has open concept 9 feet ceiling, massive floor to ceiling windows in living room area, wood flooring, modern cabinetry with all stainless steel appliances, built-in wine frige and a huge kitchen island with quartz counter tops! Very spacious west facing master bedroom features glass shower, his/her sinks and walk-in closet. The second bedroom is on the other side, facing east with two closets. In suite laundry room with stacked washer and dryer and extra storage area. Massive south facing patio for you to enjoy a summer evening. Two titled heated undergound parking stalls, one storage locker. Amenities include gym/fitness center, social room, car wash and visitor parking! Best corner unit in the whole building! The life style you have been dreamed of!! Call today to book your showing before it is gone!!
I was searching for a Property and found this listing (MLS® #C4226389). Please send me more information regarding #1005 530 12 Av Sw, Calgary, Alberta, T2R 0B1. Thank you!
I'd like to request a showing of #1005 530 12 Av Sw, Calgary, Alberta, T2R 0B1 (MLS® #C4226389). Thank you!


text:
Why Arsenal's centre-back search led them to 'bargain' Marí
Arsenal have finally done it. After weeks of speculation, the Gunners have bolstered their defensive ranks with the signing of Flamengo centre-back Pablo Marí.
His arrival brings to an end the Gunners' lengthy for a centre-back which has seen them strongly linked with Mykola Matviyenko.
The 26-year-old initially moves to the Emirates on loan until the end of the season with Arsenal paying £4million to acquire the Spaniard until the end of the campaign. If he impresses enough to justify becoming a Gunner on a full-time basis, the Premier League side have to part with a further £8million.
Given the extortionate fees being paid by other teams to land centre-backs, £12million could be a genuine bargain if Marí lives up to his potential.
Prior to this season, the left-footed defender was a bit of an unknown. He initially made his name for Gimnàstic before moving to Manchester City in 2016. Marí never made an appearance for the Citizens during his three-year stint with the club but he did have successful loan spells with Girona, NAC Breda and Deportivo La Coruña. He impressed enough to catch Flamengo's eye and moved for around the £1million mark last July.
Marí immediately struck up an understanding alongside Rodrigo Caio at the heart of the defence as Fla went on to conquer the Brazilian league and win the Copa Libertadores. The 26-year-old also impressed in the Club World Cup as the Brazilian club made it all the way to the final before losing 1-0 to Liverpool in extra time.
However, it was his performance against the Reds that really caught the eye. He, along with his team-mates, nullified Mohamed Salah and limited Trent Alexander-Arnold's influence.
If he's able to play like that every single week, Arsenal have a gem on their hands.
Edu, Arsenal's technical director, praised his latest capture, saying: "Pablo is an experienced player who will provide us with additional defensive quality. We have been monitoring Pablo's career for a while and we are very pleased to have reached agreement with Flamengo for him to join us initially until the end of our season.
"Together with Mikel and his coaching team, we are all looking forward to seeing Pablo in an Arsenal shirt."
And Marí spoke with the Arsenal website shortly after the deal was confirmed.
"When I spoke to my agent, it was a big thing that Arsenal were interested in me," he said. "This is one of the best clubs in the world, so I'm absolutely delighted to be joining. I'm really looking forward to playing in this jersey and helping my team."
"Right now I want to focus on the day-to-day side of things. I think we need to put the plans to one side for now because the most important thing is to take things one day at a time and focus on achieving short-term goals.
"We need to change the dynamic around the team, so the short-term objectives are the most important thing. As I've said, we have Mikel's ideas, aligned with the club, and we need to perform very well to change things."
The Gunners have identified a player who clearly fits in with the way Arteta wants his team to play. Marí's use of the ball is exceptional and he is heavily involved in play.
On average he attempts 54 passes per 90 and 88 per cent find a team-mate. It is even more remarkable when you consider he's playing more than 40 per cent of his passes forward.
He's progressive, almost risky times, yet remains frugal when in possession. It's the ideal combination for this Arsenal backline.
Marí is dominant in the air, too, winning 69 per cent of his aerial duels. For context, Virgil van Dijk wins 75 per cent of his and he's lauded as a defensive juggernaut. So Arsenal's latest addition keeps good company in this particular metric.
The only real negative about Marí is a trait some might consider a positive. He is aggressive. He's proactive and regularly looks to squeeze the opposition. In Brazil, it helped Flamengo dominate. But England is different. Teams in the Premier League are used to being pressed.
In the still above, Marí has stepped forward to front up the man in possession but in doing so he's created a huge gap in the defensive line that could be exploited. All it takes is an intelligent run from the man on the right and a well-timed pass and Santos are in. Fortunately for the visitors, Marí intercepts the pass. In the Premier League, this sort of thing could be punished.
If Arteta is able to manage Marí's aggression, he could be a shrewd signing for the Gunners. A reliable defender who can pick a pass. Those currently at the Emirates seem to only be able to do the latter.
This deal won't dominate the headlines but it could be what really kickstarts the Arteta era.


What racing crimes could I be charged with in North Carolina?
Illegally racing a vehicle is a serious crime in North Carolina, and if convicted, you could face many long-term consequences. These are misdemeanor offenses which can result in you having a permanent criminal record. Besides the punishments for a misdemeanor, you may lose your driver's license for a lengthy period of time and have your vehicle seized.
Prearranged racing. It is unlawful for a person to operate a motor vehicle on a street or highway willfully in a prearranged race with another motor vehicle. This is a Class 1 misdemeanor with possible penalties of a fine, probation, and jail time depending on your prior criminal record. If convicted, your driver's license would be revoked for three years, but you may request that it be reinstated after 18 months. In addition, your vehicle would be seized at your arrest. It would be sold, and you would incur 12 insurance points if you are convicted.
Willful racing. It is also a crime to operate a motor vehicle on a street or highway willfully in a speed competition with another vehicle. This is a Class 2 misdemeanor, and the punishment includes possible driver's license revocation for one year. However, this is discretionary. Ten insurance points would be incurred. The police are not authorized to seize and sell your vehicle if you are convicted.
Loaning a vehicle for racing. It is illegal to loan a motor vehicle for use in prearranged racing. If convicted, the owner would face a three-year suspension of his driver's license but could request that it be reinstated after 18 months. He would also incur 10 insurance points.
Betting on a prearranged race. You could be charged with this offense for placing or receiving a bet on the outcome of a prearranged race on a street or highway. If convicted, your driver's license would be suspended for three years—the same as if you were found guilty of prearranged racing.
Have you been charged with illegal racing in North Carolina? Our experienced traffic ticket attorneys are here to mount a strong defense so that you achieve the best possible outcome. To schedule your free consultation, call our office or start an online chat today.


Rob Carney is an editor and writer with over 17 years' experience of working in the creative and tech industries.
Previously editor of Computer Arts and T3 magazines, he's currently editor for Graz-, Vienna- and London-based digital agency Scoop & Spoon.
News: Do we need to fight the government again over design and art education?


text:
1281 - Full System Recovery to Azure on Linux
Full System Backup
For instructions on how to recover to Azure, see Article 1224.
FSR can be performed on the following distros:
RHEL: 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8
Centos: 7.4, 7.5, 7.6, 7.7, 8, 8.1, 8.2
Ubuntu: 16.04, 18.04, 20.04
The following filesystems are supported for backup:
ext2, ext3, ext4, xfs, btrfs, vfat, fat, msdos
The following filesystems are supported for FSR:
ext2, ext3, ext4, xfs, vfat, fat
Unsupported filesystems will be converted to ext4 when performing FSR.
We highly recommend enabling the root user and setting a password. Logging in as the root will be useful in the event of a restore failure.
Encrypted disks are not supported.
Azure SSH port 22 will be left open after a restore.
The user has the option to disable the backup service after a restore (otherwise it remains enabled by default). To re-enable the backup service if it has been disabled, use systemctl enable backuppro to enable the service and systemctl start backuppro to start it up.
To prevent recovery issues, non-persistent paths should not be present in /etc/fstab. See Article 1284.
Cloud-init may cause changes to security settings to be reverted on restore. For example, if a user creates an Azure VM from an image with cloud-init and sets the VM to use SSH password auth, but later changes this to SSH keys auth, then cloud-init may revert to the initial setting of SSH password auth on restore. On booting up the new machine after restoring, the user could therefore encounter the initial setting instead of the changed setting.
1224 - How to do a Full System Recovery to Azure
1284 - Warning shown if non-persistent paths are found in /etc/fstab
1231 - Limitations of FSR
1296 - How to store a Linux ESE local copy on a network share


Left: NASA Spitzer image showing the portion of the Rho Oph dark cloud observed with HAWC+ instrument. Right: HAWC+ image showing systematic variations of the far-infrared polarization spectrum in the interstellar cloud.
The science results were obtained using SOFIA, a highly modified Boeing 747SP jetliner fitted with a 100-inch (2.5-meter) infrared telescope. SOFIA is an international partnership between NASA and the German Aerospace Center (DLR).
The flying observatory has a suite of seven different instruments – cameras and spectrometers – that are flown into the stratosphere to altitudes as high as 45,000 feet (13.7 km) on missions up to 10 hours in duration. This altitude puts the observatory above more than 99 percent of the Earth's water vapor that blocks infrared wavelengths from reaching the ground. SOFIA's ability to study mid- and far-infrared wavelengths (28-320 microns) provides data that cannot be obtained by any other current astronomical facility on the ground or in space, including those now under development.
Astronomers assume that the polarization maps that we observe with instruments, such as HAWC+, trace magnetic fields in space. To understand the polarization in detail, astronomers need to understand which grains contribute to the polarization, which do not, and under what conditions. One theory about how these grains behave is known as the Radiative Alignment Torque (RAT) theory. Andersson presented the results of two recent tests supporting the RAT theory.
The left image shows the large-scale magnetic field along the polar direction of the disk of the starburst galaxy M82. The HAWC+ imaging polarimetric observations show, for the first time, a relatively hot dust magnetically aligned along the direction of the outflows. The right image shows a multi-wavelength view of the galaxy, with the blue x-ray revealing gas that has been heated by the violent outflow.
Scientists have observed one of the closest star-forming regions to our Solar System, known as Rho Ophiuchi, located approximately 424 light-years away. In the central parts of the cloud, known as Rho Oph A, several young stars are currently being formed, some of which will probably become stars with planetary systems much like our Sun. With HAWC+, researchers at Northwestern University have observed for the first time that systematic variations of the far-infrared polarization spectrum exist within an interstellar cloud.
HAWC+ has opened a new window to explore active galactic nuclei (AGN) and starburst galaxies, providing the best angular resolution and polarimetric capability within the 50-220 micron range. Lopez-Rodriguez presented preliminary results of AGN and starburst galaxies observed with the far-infrared polarimeter HAWC+ onboard SOFIA. These observations of NGC 1068 at 53 microns have shown, for the first time, a magnetized arm along the spiral inner arm of the galaxy.
The HAWC+ image of NGC 1068 shows, for the first time, the magnetized spiral arms of the host galaxy. The forces exerted by the magnetic fields are dominated by rotation of the disk, making the dust grains to be aligned along the spiral arms as they are clearly detected by these HAWC+ polarimetric observations at 53 microns.
The interstellar medium (ISM) found between stars is the building block from which future stars will form. A common mechanism to cool down the gas in the ISM is through radiation from singly ionized carbon. Ionized carbon radiation can arise from three phases of the ISM: molecular gas, atomic gas, and ionized gas. Unraveling which phase the ionized carbon emission comes from and how it is dependent on environment is crucial for understanding the initial stages of star formation. This separation is better done with the GREAT instrument on SOFIA, which has the unique capability to measure the far-IR ionized carbon line at high spectral resolution.
SOFIA is a joint project of NASA and the German Aerospace Center, DLR. NASA's Ames Research Center in California's Silicon Valley manages the SOFIA program, science and mission operations in cooperation with the Universities Space Research Association headquartered in Columbia, Maryland, and the German SOFIA Institute (DSI) at the University of Stuttgart. The aircraft is based at NASA's Armstrong Flight Research Center's facility in Palmdale, California.


text:
Auction Napa Valley Is the Most Fun Charity Party in the Wine World
The 39th annual event raised nearly $12 million for local community health and children's education organizations.
By Sam Dangremond
Photo by Alexander Rubin for Napa Valley Vintners
On June 1, 900 guests listened to Katy Perry serenade the crowd with a few of her hits at Napa Valley's Meadowood Resort before Auction Napa Valley's live auction raised almost $12 million for local charity organizations.
Now in its 39th year, the four-day extravaganza unites top winemakers and wine lovers for a good cause. Scroll down for a look at the event, which was hosted by Napa Valley Vintners, the region's non-profit trade association celebrating its 75th anniversary this year.
The weekend kicked off with vintner-hosted dinners on Thursday and Friday nights.
Alexander Rubin for Napa Valley Vintners
Here, a lucky crowd dines under the palm trees at Spottswoode in St. Helena.
Yountville's Cliff Lede Vineyards hosted a poolside dinner.
"Auction isn't complete unless you do the vintner-hosted dinners, daytime outings, barrel auction and live auction—the weekend builds naturally," said David Duncan, CEO of Silver Oak, Ovid, and Twomey and 2019 Auction Napa Valley co-chair." Oprah did them all when she came."
Shafer hosted a vintner dinner at its winery in Napa.
The auction included a tribute to its founder, John Shafer, who died in March at age 94.
Top bidders from previous auctions gathered at Press Restaurant in St. Helena.
On Friday, the newly renovated Louis M. Martini Winery hosted a barrel auction.
One of the rare Napa Valley wineries that accepts walk-ins for tastings, Louis M. Martini reopened in March. Martini was the first president of Napa Valley Vintners when it was established in 1944.
Above: Winemakers like Trevor Durling of Beaulieu Vineyard (pictured with his colleague Tamara Stanfill) were on hand to pour tastes from the barrels.
The barrel auction featured 112 wines still aging in their barrels.
The top 10 bidders on each of the wine barrel lots received a case of that wine.
Guests were invited to donate bicycles that would be delivered to local children.
A marching band kicked off the celebration at Meadowood on Saturday.
"It's incredible to see the audience get younger and more fashionable," Duncan said. "And yet, so far, no one has topped Robert Mondavi's cork jacket."
Christopher Kostow, Executive Chef at The Restaurant at Meadowood, and his wife, Martina Kostow, greet a guest before the live auction on Saturday.
Kenzo Estate's Kenzo Tsujimoto and Guest
Bill and Deborah Harlan
Town & Country's wine critic, Jay McInerney, called Bill Harlan "arguably the most influential figure in the Napa Valley." The Harlans' children, Will and Amanda, are overseeing the family's latest project, Promontory.
Past Napa Valley Vintners Board of Director Chair Michael Mondavi
Katy Perry kicked off the auction.
Perry performed an acoustic set that included "Teenage Dream," "Firework," and "Roar." Her fiancé, Orlando Bloom, was in the audience, and Perry drank from a glass of Opus One when the winery's CEO handed it to her on stage.
The pink-hued tent was the setting for the sale of 31 lots.
One offered by Ann Colgin and Joe Wender of Colgin Cellars included a trip to France featuring lunch at the Louis Vuitton family home and a tour of Christian Dior's former residence in Normandy. It went for $330,000.
An attendee shows off the selfie he took with Katy Perry.
"The kindness and generosity of both bidders and our vintners came together today to create an ongoing legacy of lives made stronger and more whole," said Paula Kornell, chair of this year's live auction.
After the auction, chefs from the Michael Mina restaurant group and Ayesha Curry (Golden State Warriors star Steph Curry's wife) prepared an al-fresco dinner.
The dinner was served family-style at dusk, and an after-party at Christopher Kostow's restaurant The Charter Oak in St. Helena followed.
Watch this video for a recap of this year's top moments.
Since its founding, Auction Napa Valley has raised more than $185 million for local charities. Next year's event is planned for June 4 to June 7, 2020, with the Araujo family of Accendo Cellars serving as hosts.
Sam Dangremond Contributing Digital Editor Sam Dangremond is a Contributing Digital Editor at Town & Country, where he covers men's style, cocktails, travel, and the social scene.
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text:
Blarinomys est un genre de mammifères de l'ordre des rongeurs.

Liste d'espèces
Selon ,  et  :
 Blarinomys breviceps (Winge, 1887)

Notes et références

Liens externes

Rongeur (nom scientifique)
Cricetidae

redpajama_set_name: RedPajamaWikipedia


Vans Old Skool Trainers in Khaki and Leopard. Transcending the tests of time with ease; the Old Skool remains an essential piece for all wardrobes. The original style is presented with durable canvas upper and leopard side stripe to complete.


Men' chunky jumper and cable crew neck sweater in cotton or alpaca.
Look cool while staying warm with our cable-knit jumpers. Alpaca and cotton knits are your work mates, while zip-up styles are your new casual heroes.
Whether you're looking to add texture with cable or opting to stand out in a bold Fair Isle pattern, our range of chunky jumpers covers all the bases, with an extensive range of covetable designs.
Add a little luxury to your wardrobe with alpaca wool jumpers in muted tones and fine knits. Details matter.


text:
Теодор Бовері (нім. Theodor Boveri; 12 жовтня 1862, Бамберг — 15 жовтня 1915, Вюрцбург) — був німецьким зоологом, анатомом та співзасновником сучасної цитології.
 Вальтер Бовері, Walter Boveri (1865—1924) — промисловець, співзасновник компанії Brown, Boveri & Cie.


Welcome to the largest gathering of biomass experts, 14-18 of May, in Copenhagen, Denmark.
EUBCE is a leading platform for the biomass specialists. The conference programme will address topics from biomass to bioliquids and biofuels for heat and electricity, transport and biobased products. It will cover all aspects of each value chain, from supply and logistics to conversion technologies, from industrial application of research results to impacts on the environment, from market and trade aspects to policy strategies, not least to the role of biomass as a source in integrated energy systems.


Most of the android applications concentrate on security and privateness to make sure everyone has a valuable knowledge in exploring and putting in applications and game titles they love the most. With this piece of publish up, you will get details about the most current modifications which Android builders are experiencing, as properly as describing the motive for each individual change, and how these securities facilitate Android equipment to turn into far more protected and safe for the elongated term.
To make the applications more beneficial and shielded android builders will have to perform on new needs if they want their apps to be obtainable on Google Enjoy in the long run. All those include things like supporting a hottest Android edition and adding help for 64-little bit indigenous code in the apps in the long term. Moreover, Google will start such as some security metadata to perk up APK validity verification.
How to secure your applications?
There are several factors for requiring an app to support the newest API edition is benefiting the app with stability and privateness that Google has been incrementally including with each other to the Android system. This does not signify that Android ought to stop supporting more mature Android variations, which is continue to encouraged. Google also illustrated that fresh new apps released on Google Enjoy from August 2018 will need to have API amount 26 (Android 8.) at the very least in it working with the target SDK Version manifest attribute.
The affliction to hold 64-bit CPUs only have an outcome on apps that comprise native libraries in them. Google says that a lot more than 40% of at existing utilized Android gadgets have 64-little bit guidance and that their functionality is significantly increased by jogging 64-bit code. For this Google Participate in also supports 32-little bit apps and products, so 64-little bit aid is an addition to the 32-bit assist working with a single APK or several APKs. This is one of the additionally points for the developers which they can use in the foreseeable future.
In addition to over, developers have pretty much 2 a long time period of time to changeover to 64-little bit, since this situation will begin in August 2019. For now, you can start out introducing a small sum of stability metadata on the pinnacle of each APK to ensure that it was authoritatively distributed by Google Participate in. The metadata which builders will increase to APKs is like a Google Perform badge of authenticity for your Android software. Absolutely 2017 has been an outstanding year for builders who have seen development and accomplishment on Google Participate in.
With all these capabilities and the forthcoming newest updates, we glance ahead to looking at the Android and Perform ecosystem keep on to prosper in 2018 and forward. In the conclusion to conclude this part we can say that Google will commence to quickly add certification to its apps in early 2018. This modification does not have any effect on apps' behavior, but certainly will be applied in the upcoming to permit new distribution opportunities with the endeavor to support users to retain their applications up to day.


text:
Blaniulus lichtensteini is a species of  millipede in the Blaniulidae family that is endemic to France.

References

Julida
Millipedes of Europe
Animals described in 1921


text:
Goal Click x NYCFC | Kweku Brew Wins NYCSI Photo Contest
October 12, 20195:47PM EDT
Simreen Kheraj
New York City Soccer Initiative opened ten new mini-pitches on October 10. Members of the community, partners, and NYCFC players got together to commemorate the occasion at Flushing Meadows Corona Park.
The centerpiece of the event showcased photographs from several entrants of the NYCSI's photography contest.
Including photos taken by Kweku Brew, the winner of the contest.
When Brew left his home he thought he was just going to celebrate the new pitches, but when he arrived and saw his work on display he was speechless.
His day was made, but little did he know that Alex Ring was going to be calling him up to the stage to be apart of the ribbon-cutting ceremony.
"When Alex Ring mentioned my name, I was shocked. I was like 'oh that's me, he's calling my name.' So I just ran up and shook his hand, and in my head, I was thinking 'I'm shaking the captain's hand,'" Brew said. "It was amazing. One of the best moments of my life."
Growing up in Ghana and moving to the Bronx, he has always seen the untapped potential in his community. So when this opportunity to enter the photography contest came up, he jumped at it to tell people's stories and give them a voice.
"I don't have my own professional camera or anything, but when I go on Instagram or I see people who take pictures I'm always infatuated by their work," he said. "There's a story behind every photo like they say a picture says a thousand words, so I've always been interested in photography."
Of the ten blue pitches that opened on Thursday, the one in People's Park is just a little more special to Brew.
"It's right by my high school," he said.
"I didn't grow up where I had goals, a blue pitch, or even an organized pitch where you could just bring a soccer ball and play.
"Before the blue pitches, me and my friends had to use cans or our book bags to make goals just so we could be able to play. So having the blue pitches, it's setting the steps and stones for everyone to be able to just bring a soccer ball and play."
The focal point of Brew's submission was his community and his love of soccer.
"It doesn't matter your race, the language you speak, or your background, soccer brings people together, no matter what. It's very inclusive" Brew said.
"I feel like the Soccer Initiative is a game-changer because it gives people a place to go to after school instead of hanging around and doing something that will get them in trouble.
"The Soccer Initiative is a comfort and a safe zone, just coming there to play soccer.
"Whatever you have going on, just bring a ball and play soccer with your friends or strangers to meet new people and make connections through that one language we all speak. The language of soccer.
"I'm excited for all the pitches being opened for new generations and every generation. I'm glad to just be apart of it."
As a part of his prize, Brew will have the opportunity to shadow NYCFC's photographers during the first playoff game.
"I'm excited but I'm going to be nervous because that's a playoff game, but I'm ready to learn and just get to work," he said.
"I was born in Ghana and I came here when I was 11, so I've been here for seven years. In all my seven years of being here, I never expected this to happen.
"I want to be a photographer for the community and I want to be able to give people a voice to tell their story.
"I'm passionate about photography, but I'm more infatuated by the people and explaining their story through the pictures.
"I still need to do more research and own my own camera to pursue photography, so that's my next step moving forward."
NYCSI


text:
Обласні автомобільні шляхи Тернопільської області — автомобільні шляхи обласного значення, що проходять територією Тернопільської області України. Список включає усі дороги місцевого значення області, головним критерієм для визначення порядку слідування елементів є номер дороги в переліку.

Всього обласних доріг місцевого значення в Тернопільській області є 327,2 км.

Перелік обласних автомобільних шляхів у Тернопільській області

Примітки

Джерела
 Розпорядження голови обласної державної адміністрації від 25 червня 2012 року № 488-од «Про затвердження переліку автомобільних доріг загального користування місцевого значення області» // Тернопільська обласна державна адміністрація. — 2012. — 25 червня.


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Inspired by the birth of our first daughter Stella Mae (and later, her sister Ruby Leigh), we decided to have a life focused on family. Having just become new parents, we took some time to think about what our priorities and goals were, and how to attain those goals. Our top priority is to be parents who are always present for our children. We want to share our relationship with the earth with our kids, and to teach giving through doing. And of course, we want to have more control over our time (yeah right!). After plenty of family conversation, a winery seemed to make sense. We are privileged to have enduring relationships with the Pacific Northwest's finest growers and winemakers from many years in the restaurant community, many who have become great friends. With all that support, and even more from our parents, we started our little winery in 2004. Our style produces artisan handcrafted award-winning wines, some of them highly sought after. Contributing to our community and to causes that resonate with our family are another way that the wine world helps make our lives rich. In the future we hope to be known for the outlandish things we do in far away sunny places.


text:
PewDiePie signs exclusive live-streaming deal with YouTube
Felix Kjellberg, the YouTuber better known as PewDiePie, has signed an exclusive live-streaming deal with YouTube. The move comes almost exactly one year after Kjellberg announced that he was streaming exclusively on DLive, a small blockchain-based live-streaming site.
According to the press release, Kjellberg is excited to head back to his home pastures. "Live streaming is something I'm focusing a lot on in 2020 and beyond, so to be able to partner with YouTube and be at the forefront of new product features is special and exciting for the future," he said.
Kjellberg's acquisition is the latest big name joining YouTube for live-streaming; recently, the platform has been throwing its weight (and money!) around to grab exclusive deals with streaming stars like CouRage, Typical Gamer, and Valkyrae. Kjellberg's move was somewhat predictable; I only wonder how much the deal was worth. Obviously, YouTube isn't the only platform snapping up streamers — Mixer, Twitch, and Facebook have gotten in the game too. Anyway: as always, if you have any details, please don't hesitate to get in touch.
Taika Waititi will direct and co-write a new Star Wars movie
Google Meet starts rolling out in Gmail, continuing Google's quest to unseat Zoom


text:
Leeanne Marie Redden
Redden, circa 2013; Some of Redden's tattoos
Missing From Lynn, Massachusetts
Race Biracial, Hispanic, White
Height and Weight 5'1 - 5'3, 100 - 110 pounds
Clothing/Jewelry Description A gold necklace with the name "Jackie" and a silver engagement ring with one large stone surrounded by smaller stones. Usually carries a purse with makeup in it.
Medical Conditions Redden has unspecified serious medical issues that may require medical attention.
Distinguishing Characteristics Biracial (Caucasian/Hispanic) female. Black hair, hazel eyes. Redden's nickname is LeeLee. She sometimes dyes her hair and may have burgundy highlights in it. Her ears and navel are pierced and she has the following tattoos: a tribal sun design on her lower back, an Asian character on the back of her neck, a simple cross on her left middle finger, and the words "Forgive Me Father" in script above a large ornate cross in the center of her back. Photos of some of Redden's tattoos are posted with this case summary. She may wear eyeglasses with square black frames.
Redden was last seen in Lynn, Massachusetts on April 15, 2013, leaving a her mother's house with a friend. She has never been heard from again. The man Redden left with was questioned after her disappearance, but said he didn't know her whereabouts; he has since died. Redden's family stated that, even if she had wanted to leave, she would never have abandoned her ten-year-old daughter. Her case remains unsolved.
Lynn Police Department 781-477-4398
Lynn Police Department
Facebook Page for Leeanne Redden
The Daily Item
Updated 1 time since October 12, 2004. Last updated June 9, 2021; casefile added.


Penguins under the porch was launched in Oamaru on 31 May 2018! Ask for it in bookshops throughout New Zealand.
I had a wonderful evening at the book launch, meeting friends old and new. Many thanks to Waitaki District Libraries for hosting the event and to Paper Plus Oamaru for promoting it - and bringing a supply of books on the day!
The mayor, Gary Kircher, surprised me with two presents: one for me (completely unexpected) and another for the mayor of Devizes, Oamaru's English twin town.


text:
Q: What is the difference between kernel function and kernel trick? My question is regarding the SVM topic.
What is the difference between kernel function and kernel trick? Are they same and refer to the same thing?

A: The kernel function is a function $K(x_1,x_2)$ which follows a few properties: in general it's the inner-product between $x_1,x_2$ in a higher-dimensional space. The kernel trick involves using such functions to treat inner-products between observations in the spaces described by the kernel function.
For SVMs and other kernelizable algorithms (linear regression, PCA, K-means, etc) the interest is in defining a higher dimensional kernel space (even infinite dimensional) while keeping the complexity of the problem at circa $\mathcal O(n^3)$ (see Kernel Ridge Regression Efficiency).

redpajama_set_name: RedPajamaStackExchange


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text:
\section{Conserved vector and axial currents}
\label{appendix-mobiusconservedcurrents}

The standard derivation of lattice Ward identities proceeds
as follows. A change variables of the fermion fields $\psi$ and $\bar \psi$
at a single site $y$ is performed:
$
    \psi^\prime_y = \psi_y - i \alpha \psi_y$ ;
$\bar \psi^\prime_y = \bar \psi_y + i \bar \psi_y \alpha$
under the path integral, the Jacobian is unity,
and the partition function is left invariant
\begin{eqnarray}
Z^\prime
&=&
  \int d\bar\psi d\psi e^{-S[\bar\psi,\psi]}
    \left\{1 - i \alpha \left[ \frac{\delta S}{\delta \psi_y} \psi_y
                     - \bar \psi_y \frac{\delta S}{\delta \bar\psi_y}
	\right] \right\}
= Z.
\end{eqnarray}
Hence,
\begin{equation}
 \langle \frac{\delta S}{\delta \psi_y}\psi_y - \bar \psi_y \frac{\delta S}{\delta \bar\psi_y}
\rangle = 0.
\end{equation}
The Wilson action gives eight terms from varying $\bar{\psi}_y$ and
eight terms from varying $\psi_y$:
\begin{eqnarray}
\bar\psi \delta_y (D_W) \psi = \Delta^-_\mu J^W_\mu (y)
&=&
\label{WilsonDivergence}
\Delta^-_\mu \left[
 \bar\psi_y \frac{1-\gamma_\mu}{2} U_\mu(y) \psi_{y+\hat\mu}
-\bar\psi_{y+\hat\mu} U^\dagger_\mu(y) \frac{1+\gamma_\mu}{2} \psi_y
\right]= 0,
\end{eqnarray}
where $\Delta^-_\mu$ is the backwards discretized derivative.
An equivalent alternate approach may be taken, however, and this is a better
way to approach non-local actions such as the chiral fermions.
Gauge symmetry leaves the action invariant at $O(\alpha)$ under the simultaneous active substitution,
\begin{equation}
U_\mu(y) \to (1+i\alpha) U_\mu(y)
 ; \quad
U_\mu(y-\hat\mu) \to  U_\mu(y-\hat\mu) (1-i\alpha)
 ; \quad
     \psi_y \to (1+ i \alpha )\psi_y
 ; \quad
\bar \psi_y \to \bar  \psi_y (1 - i \alpha)
.\end{equation}
A change variables on the fermion fields at site $y$
may be performed simultaneously to absorb the phase on the fermions,
$
\psi^{\prime}_y =  (1+ i \alpha) \psi_y$;
$
\bar \psi^{\prime}_y = \bar \psi_y (1 - i \alpha).
$
Under the path integral, the Jacobian is unity, and the phase associated with the fermion is absorbed.
We can now view the change in action as being associated with the \emph{unabsorbed}
phases on the eight gauge links connected to site $y$.
\begin{equation}
Z^\prime = Z =
 \int d\bar\psi^\prime d\psi^\prime e^{-S[\bar\psi^\prime,\psi^\prime,U]}
    \left\{1 + i \alpha \sum_\mu \left[\frac{\delta S}{\delta U_\mu(y)^{ij}} U_\mu(y)^{ij}
    - \frac{\delta S}{\delta U_\mu(y-\mu)^{ij}} U_\mu(y-\mu)^{ij}
	\right] \right\}.
\end{equation}
For a gauge invariant Lagrangian we can \emph{always}
use a picture where the same change in action, and same current conservation law
may be arrived at by differentiating with respect to the eight links connected to a site
\begin{equation}
\langle \sum_\mu \left[
 \frac{\delta S}{\delta U_\mu(y)^{ij}} U_\mu(y)^{ij}
    -
 \frac{\delta S}{\delta U_\mu(y-\mu)^{ij}} U_\mu(y-\mu)^{ij}
	\right]\rangle = 0.
\end{equation}

This arises because the phase freedom of fermions and of gauge fields are necessarily coupled and inseparable in a gauge theory.
For the nearest neighbour Wilson action this generates the same eight terms entering $\Delta^-_\mu J_\mu =0$.
In the case of non-local actions, the Dirac matrix, whatever it is, can be viewed as a sum of gauge covariant paths.
When we generating a current conservation law from $U(1)$ rotation of the fermion field
at site $y$, we sum over all fields $\bar \psi(x)$ and $\psi(x)$ connecting through the Dirac matrix $D(x,y)$ to the fixed site
$\psi(y)$ and $\bar\psi(y)$. The following sum is always constrained to be zero for all $y$, and is identical to that
found by Kikukawa and Yamada\cite{Kikukawa:1998py}:
\begin{equation}
\sum_x \bar{\psi}_x D(x,y) \psi_y - \bar{\psi}_y D(y,x) \psi_x = 0.
\label{sum_df}
\end{equation}
The partitioning of this sum of terms, into a paired \emph{discrete divergence operator} and \emph{current} is not obvious,
and it is cumbersome to generate Kikukawa and Yamada's \emph{non-local kernel}.
We may derive the same sum of terms by differentiating with respect to the
8 links connected to site $y$.
\begin{equation}
\langle
\sum_\mu \left[
\begin{array}{c}
 \frac{\delta S}{\delta U_\mu(y)^{ij}} U_\mu(y)^{ij}
    -
 \frac{\delta S}{\delta U_\mu(y-\mu)^{ij}} U_\mu(y-\mu)^{ij}
\end{array}
	\right]
\label{sum_du}
\rangle = 0
\end{equation}
The structure of eqn.~\ref{sum_du} \emph{always} lends itself interpretation as a backwards finite difference.
For a non-local action the differentiation eqn.~\ref{sum_du} appears to generate a lot more terms than the fermion field differentiation
eqn.~\ref{sum_df}. The reason is clear: these extra terms are constrained by gauge symmetry to sum to zero, but only after
cancellation between the different terms in eqn.~\ref{sum_du}.
Specifically, we consider an action constructed as the product of Wilson matrices:
\begin{equation}
S = \sum_{xyzw} \bar \psi_x D_W(x,y) D_W(y,z)D_W(z,w) \psi(w).
\end{equation}

The link variation approach gives three terms, each of which are conserved under a
nearest neigbour difference divergence: varying with respect to the 8 links we obtain
via the product rule

\begin{equation}
\delta_y (\bar\psi D_W D_W D_W \psi) \psi = \psi \left[ (\delta_y D_W) D_W D_W + D_W (\delta_y D_W)D_W  +D_W D_W(\delta_y D_W) \right] \psi
\end{equation}

Each of these contributions contain a backwards difference operator and it is trivial
to split this into a divergence and corresponding conserved current using eqn.~(\ref{WilsonDivergence}).
The above comment is generally applicable to any function of the Wilson matrix.
We take this approach to establish the exactly conserved vector current of an approximate overlap operator, where the
approximation is represented by a rational function.
We will also establish that matrix elements of this current are identical to those of the Furman and Shamir
approach~\cite{Furman:1994ky} in the case of domain wall fermions.
The Furman and Shamir approach will then be used
to also establish an axial Ward identity  for our generalised M\"obius domain wall fermions.
 under which an explicitly known defect arises.
This is important in both renormalising lattice operators and also in determining the most appropriate measure
of residual chiral symmetry breaking in our simulations.
We construct the conserved vector current by determining
the variation in the overlap Dirac operator $\delta_y D_{ov}$
\begin{eqnarray}
\delta_y D_{ov} &=& \frac{1-m}{2} \gamma_5 \left\{
\delta_y (\frac{1}{1+T^{-Ls}})  [1-T^{-Ls}]
+\frac{1}{1+T^{-Ls}} \delta_y (1-T^{-Ls})
\right\}\nonumber
= (1-m)\gamma_5 \delta_y \left(\frac{1}{1+T^{-Ls}}\right).
\end{eqnarray}

We can similarly find the variation in $T^{-1}$ induced by a variation in $D_W$,
where the variation in $D_W$ is just the backwards divergence of the standard Wilson conserved
current operator. Denoting,
\begin{eqnarray}
T^{-1} &=& -(\tilde{Q}_-)^{-1}\tilde{Q}_+\nonumber\\
\tilde{Q}_- &=&  D_+^s P_- - D_- P_+ = D_- \gamma_5 Q_-  \nonumber\\
\tilde{Q}_+ &=&  D_+^s P_+ - D_- P_- = D_- \gamma_5 Q_+  ,
\end{eqnarray}
we see that
\begin{eqnarray}
\delta_y(T^{-1})
 &=&  -\tilde{Q}_-^{-1} \delta_y(D_W) \left\{  (b P_-  + c P_+ ) T^{-1} + b P_+ +c P_- \right\}.
\end{eqnarray}
Since
\begin{eqnarray}
\begin{array}{ccccccc}
\tilde{Q}_- P_- &=& (1+b D_W)P_-
&;&
\tilde{Q}_+ P_- &=& (c D_W-1)P_- \nonumber\\
\tilde{Q}_- P_+ &=& (c D_W-1)P_+
&;&
\tilde{Q}_+ P_+ &=& (1+b D_W)P_+ ,
\end{array}
\end{eqnarray}
we may rexpress the identity
\begin{eqnarray}
\tilde{Q}_-^{-1}(P_+ + P_-) &=& \frac{\tilde{Q}_-^{-1}}{b+c} \left[ \tilde{Q}_+ (c P_+ - b P_- ) + \tilde{Q}_- (c P_- - b P_+) \right],
\end{eqnarray}
and this lets us find a symmmetrical form:
\begin{eqnarray}
(b+c)\delta_y(T^{-1}) &=&
\left[ b [P_+ - T^{-1}P_-] + c [T^{-1} P_+ - P_- ]  \right]
\delta_y(D_W)
\left[  b [ P_+ +  P_- T^{-1}] + c [ P_+ T^{-1} + P_- ]\right]. \label{deltaTinv}\nonumber
\end{eqnarray}
We may now look at the variation of the term $T^{-L_s}$
\begin{equation}
\delta_y(T^{-L_s}) =
\sum\limits_{s=1}^{L_s}
T^{-(s-1)}
\left[
\begin{array}{c}
b [P_+ - T^{-1}P_-] \\+ c [T^{-1} P_+ - P_- ]
\end{array}  \right]
\delta_y(D_W)
\left[
\begin{array}{c}
  b [ P_+ +  P_- T^{-1}] \\+ c [ P_+ T^{-1} + P_- ]
\end{array}
\right]
T^{- (L_s-s)}.
\end{equation}
Pulling these results together, we find
\begin{equation}
\delta_y D_{ov} =  -\frac{1-m}{b+c} \gamma_5 \frac{1}{1+T^{-Ls}}
\left( \sum\limits_{s=1}^{L_s}
T^{-(s-1)} \delta_y(T^{-1}) T^{- (L_s-s)}
\right)
\frac{1}{1+T^{-Ls}}.
\end{equation}

The terms may be expanded until insertions of the
the backwards divergence of the Wilson current are reached, eqn.~\ref{WilsonDivergence}.
Gauge symmetry then implies the conservation of the obvious current and
the vector Ward identities can be constructed. For example, we may take
as source $\eta^{j j^\prime\alpha\alpha^\prime} (z) = \delta_{jj\prime}\delta_{\alpha\alpha^\prime} \delta^4(z-x)$
and a two point function of the conserved current may be constructed as

\begin{equation}
\label{MobiusMatrixElement}
\begin{array}{c}
\Delta^-_\mu \langle \bar \psi \gamma_\nu \psi(x)| {\cal V}_\mu(y) \rangle =
{\rm Tr} \gamma_\nu \gamma_5 \eta^\dagger D_{ov}^{-\dagger} \gamma [1+T^{-L_s}]^{-1}
\left\{\sum\limits_{s=0}^{L_s-1}
T^{-s} \delta_y(T^{-1}) T^{-(L_s-1-s)}
\right\}
[1+T^{-L_s}]^{-1} D_{ov}^{-1}\eta
\end{array}.
\end{equation}

Note that  when $c=0$ the insertion of eqn.~\ref{deltaTinv} contains only terms such as
$
[ P_-  T^{-1} + P_+ ],
$
which are also present in the surface to bulk propagator eqn.~\ref{BulkPropagator}.
As one would expect, when we take $b$ and $c$ to represent domain wall fermions,
the two point function of our exactly conserved vector current - derived from the four dimensional effective
action - exactly matches the matrix element of the vector current
constructed by Furman and Shamir~\cite{Furman:1994ky}, eqn.~(2.21), from a five dimensional interpretation
of the action.
Since the Furman and Shamir current was easily constructed from the five dimensional propagator
eqn.~(\ref{BulkPropagator}) one might hope to do the same in the generalised approach to domain wall fermions.
To play a similar trick for the $c$ term we would need to generate the terms
$
P_- [1+T^{-L_s}]^{-1} D_{ov}^{-1}$,
and $
 P_+  T_1^{-1}[1+T^{-L_s}]^{-1} D_{ov}^{-1}.$
These are not manifestly present in eqn.~\ref{bulkpropagatormob}.
However, the presence of the contect term on the $s=0$ slice can be removed after a propagator
calculation. We define this slice as
$
S(x) = \langle Q_0 \bar q\rangle = \frac{1}{1-m}\left( D_{ov}^{-1}(m)  - \mathds{1}\right).
$
In a practical calculation the source vector $\eta$ may be used to eliminate the contact term by forming
\begin{equation}
(1-m)S(x)\eta + \eta = D_{ov}^{-1}(m) \eta =  [1+T^{-L_s}] [1+T^{-L_s}]^{-1} D_{ov}^{-1} \eta.
\end{equation}
By applying $P_+$ and $P_-$ we find we have the following set of vectors
\begin{equation}
\left(
\begin{array}{c}
P_+ ,
P_- T^{-L_s},
P_+[1+T^{-L_s}],
P_-[1+T^{-L_s}]
\end{array}
\right)^T[1+T^{-L_s}]^{-1} D_{ov}^{-1},
\end{equation}
and we may eliminate to form a $L_s+1$ vectors from a 4d source $\eta$
\begin{equation}
T(s) =
\left(
\begin{array}{c}
1   ,
T^{-1},
\ldots,
T^{-L_s}
\end{array}
\right)^T \left[ 1+ T_1^{-1}\cdots T_{L_s}^{-1}\right]^{-1} D_{ov}^{-1}(m)\eta.
\end{equation}
This may be used to construct
\begin{equation}
\left[  b [ P_+ +  P_- T^{-1}] + c [ P_+ T^{-1} + P_- ]\right] T^{s},
\end{equation}
for $s\in \{ 0 \ldots L_s-1 \} $, and by contracting these vectors through the Wilson conserved
current the the matrix element eqn.~\ref{MobiusMatrixElement} can be formed a \emph{very} similar manner to the
standard DWF conserved vector current. When $c = 0$ the matrix element reduces to being \emph{identical}
to that for the Furman and Shamir vector current.
A flavour non-singlet axial current, almost conserved under a backwards difference operator, can now also be constructed following Furman and Shamir.
We associate a fermion field rotation
\begin{equation}
\begin{array}{ccc}
\psi(x,s) \to \left\{
\begin{array}{ccc}
e^{i \alpha \Gamma(s)} \psi(x,s) & ; & x=x_0 \\
 \psi(x,s) &;& x\ne x_0
\end{array}
\right.
&;&
\Gamma(s) \to \left\{
\begin{array}{ccc}
-1 &;& 0\le s < L_s/2\\
1 &;& L_s/2 \le s
\end{array}
\right. .
\end{array}
\end{equation}
We acquire a related (almost) conserved axial current, whose pseudoscalar matrix element is
\begin{equation}
\label{WTI}
\begin{array}{c}
\Delta^-_\mu \langle \bar \psi \gamma_5 \psi(x)| {\cal A}_\mu(y) \rangle =
{\rm Tr}  [\eta^\dagger \tilde D_{ov}^{-\dagger} \gamma_5 ]
[1+T^{-L_s}]^{-1}
\left\{
\sum\limits_{s=0}^{L_s-1}T^{-s} \Gamma(s) \delta_y(T^{-1}) T^{-(L_s-1-s)}
\right\}
[1+T^{-L_s}]^{-1}
 D_{ov}^{-1} \eta
\end{array}
\end{equation}
This generalisation of the Furman and Shamir approach
induces the same $J_{5q}$ midpoint density defect that
arose for DWF, and the axial Ward identity is
\begin{equation}
\label{mobpcac}
\Delta^-_\mu \langle \bar \psi \gamma_5 \psi(x)| {\cal A}_\mu(y) \rangle = \langle \bar \psi \gamma_5 \psi(x)|2m P(y) +2J_{5q}(y) \rangle .
\end{equation}
This allows us to retain the usual definition of the residual mass in the case of M\"{o}bius domain wall fermions.
We emphasize that the definition,
$$m_{res} =\left. \frac{\langle \pi(\vec{p}=0) | J_{5q}\rangle}
{ \langle \pi(\vec{p}=0) | P \rangle}\right|_{m=-m_{res}},$$
via the zero-momentum pion matrix element of $J_{5q}$ is important, because
the PCAC relation, $$\langle \pi(\vec{p}=0) |2m P +2J_{5q} \rangle = 0,$$
guarantees that the low momentum lattice pions are massless. This is the appropriate measure of chiral
symmetry breaking for the analysis of the chiral expansion.

\begin{figure}[hbt]
\begin{center}
\includegraphics[width=0.6\textwidth]{wti_defect.pdf}
\end{center}
\caption{
As a numerical proof of the correctness we display the
difference of the left and right hand sides of  the axial Ward identity
evaluated on a  $16^3$ configuration with a point source. The defect is of order the convergence error.
}
\end{figure}

\section{Acknowledgements}
PB wishes to thank Norman Christ, Antonin Portelli, Shoji Hashimoto, Taku Izubuchi, Richard Browerand his colleagues
in the RBC-UKQCD collaboration for useful discussions.

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