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the garnet and white staff (26)
westinghouse air brake company (26)
pennsylvania. board of public charities. committee on lunacy (21)
williamsport music club (williamsport, pa.) (21)
waterbury farrel foundry and machine company (12)
westinghouse electric and manufacturing company (12)
crane co. (10)
w. and j. sloane (9)
bridge and beach mfg. co. (6)
henry r. worthington (firm) (6)
tiff (1483)
image/tif (489)
image/jp2 [1] p. ; 28 cm. (2)
image/jp2 2 p. ; 27 cm. (1)
image/jp2 47 p. ; 23 cm (1)
new holland (pa.) newspapers (1483)
jefferson county -- newspapers punxsutawney spirit -- newspapers indiana university of pennsylvania -- newspapers: (1380)
luzerne county (pa.) - newspapers (1357)
wilkes-barre (pa.) - newspapers (1357)
newspapers -- pennsylvania -- montgomery county -- ambler (1356)
newspapers -- pennsylvania -- westmoreland county -- mount pleasant ; newspapers -- pennsylvania -- mount pleasant (1171)
newspapers - pennsylvania american newspapers (489)
nazareth's first english newspaper (436)
All fields: Illustrated
Mr. Andrew Carnegie's reply to a radical address
Andrew Carnegie replies to the Dunfermline Radical Association's address.
A manual of the public benefactions of Andrew Carnegie
Carnegie, Andrew, 1835-1919; Endowments
S.N.D. North, Editor. Contents: Foreword; Carnegie Institute and Carnegie Library of Pittsburgh; Carnegie Institution of Washington; Carnegie Hero Fund Commission; Carnegie Foundation for the Advancement of Teaching; Carnegie Endowment for...
Pocket companion containing useful information and tables appertaining to the use of steel as manufactured by Carnegie Steel Company, Pittsburg, Pa.: For engineers, architects and builders.
Steel, Structural
Signed, "To E.H. Riggs, from his devoted friend, Andrew Carnegie." Revised 1903. Tables, illustrations, and diagrams of structural steel products.
Triumphant democracy: sixty years' march of the republic
United States -- Economic conditions -- 1865-1918; United States -- Social life and customs -- 19th century; United States -- Politics and government -- 19th century
Signed by Andrew Carnegie; The Republic; The American People; Cities and Towns; Conditions of Life; Occupations; Wages and Cost of Living; Education; Religion; Pauperism and Crime; Literature; Art -- Painting and Sculpture; Music; Architecture;...
Notes of a trip round the world
Voyages around the world; Carnegie, Andrew, 1835-1919
Cover title: Round the World. Signed by the author (Andrew Carnegie); Carnegie chronicles his journey around the world.
More busy days: Dr. Andrew Carnegie at Dingwall, Tain, Kilmarnock, Govan, Waterford, Limerick, Cork, Barrow in 1903
Libraries -- Scotland; Carnegie, Andrew, 1835-1919
Laying the foundation stone of the Dingwall Free Library; A Visit to Tain's Town Hall; Laying of memorial stone of New Public School at Kilmarnock; Opening of the Elder Free Library at Govan; Laying the foundation stone of the Waterford Free...
Little journeys to the homes of great business men: Andrew Carnegie
Carnegie, Andrew, 1835-1919; Philanthropy
On cover: vol. 25 August MCMIX no. 2. This booklet summarizes the first seventy-five years of Carnegie's life; from family, immigration, and work on the railways, to his dealings in industry and philanthropy.
Andrew Carnegie, author
Carnegie, Andrew, 1835-1919; Writing; Authorship
Offprint from the Pennsylvania Magazine of History and Biography, Volume LXXXVIII, Number 4, October, 1964; A profile of Carnegie as a man of letters.
Great Britain -- our ally
Great Britain -- Foreign relations -- United States
"Published on the 1st and 15th of each month by the Detroit Public Library." This issue of Library Service includes an article on the subject of American and British relations.
The Carnegie Institution of Washington: founded by Andrew Carnegie
Carnegie Institution of Washington
Third issue, December 9, 1914; Plan and scope of the Institution; Department of Botanical Research; Department of Meridian Astronomy; Department of Experimental Evolution; Geophysical Laboratory; Department of Economics and Sociology; Department of...
Publications of the Carnegie Institution of Washington
Carnegie Institution of Washington -- Bibliography
Title from cover. Price list; Classics of international law; Astronomy and mathematics; Chemistry and physics; Terrestrial magnetism; Engineering; Geology; Paleontology; Archeology; History; American economic history; Literature; Philology, etc.;...
Carnegie Corporation of New York, founded 1911
Carnegie Corporation of New York
Reprinted from a manual of the public benefactions of Andrew Carnegie
Memorial service in honor of Andrew Carnegie on his birthday, Tuesday, November 25, 1919
Carnegie, Andrew, 1835-1919
In memoriam: Andrew Carnegie; Invocation, the Rev. Robert MacGowan, D.D.; Recessional; Address -- Andrew Carnegie, Charles M. Schwab; Address -- A tribute from the city, Hon. Edward Vose Babcock; Ashes of roses; When the roses bloom
The Conshohocken Recorder, May 2, 1947
Conshohocken (Pa.) - Newspapers; Montgomery County (Pa.) - Newspapers
The Conshohocken Recorder, May 16, 1947
The Conshohocken Recorder, June 17, 1947
The Conshohocken Recorder, June 6, 1947


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Rastko Novaković
these pages collect my projects since 2000
Writing Moving image
Rastko Novaković is an artist filmmaker. His practice is collaborative and over the years he has co/authored over 50 moving image works, ranging from 1 minute lyrical films, to feature length documentaries, experimental docu-fictions, campaigning films, music videos and multi-platform videos. He has exhibited sound works, outdoor installations, as well as a 15 meter long site-specific panorama. His work explores the recurrent themes of memory, landscape, the poetics of everyday life, social justice.
He has a wide experience of media projects, having collaborated with a number of artists and filmmakers, as well as completed work commissioned by ArtLink (Serbia), Newham Council, Arts Express, London Southbank University. He was awarded artist-in-residence by The Leverhulme Trust (2009) and Arts Council England (2017/2018).
Over the years, Rastko has worked on video activist and DIY media projects with a feminist antimilitarist group (Women in Black, Serbia), a climate justice group (Climate Camp, UK) and London Indymedia. He is currently coordinator of the Activist Media Project.
He occasionally writes for The White Review and Peščanik.
He has lectured on the theory and practice of experimental film and video at the University of Westminster as well as Urban Practices at University College London. He co-initiated the interdisciplinary exhibition Cities Methodologies (2009) which explores the intersection of art and urban practices. Rastko is a contributor to Engaged Urbanism: Cities and Methodologies (eds. Duijzings/Campkin, I.B. Tauris, 2016) a book of essays which collects work featured in Cities Methodologies. His essay on the film O somma luce (2011) by Jean-Marie Straub is forthcoming in The Cinema of Danièle Huillet and Jean-Marie Straub.
His work has been shown internationally: at the British Film Institute, Glasgow's Centre for Contemporary Art, Nottingham Contemporary, Pirate Cinema Berlin, Vienna's Kunsthalle Exnergasse, Belgrade's O3one gallery. U10 hosted a mini-retrospective of his works in October of 2021. A list of recent screenings can be found here.
Rastko holds a BA (Hons) degree in Contemporary Media Practice from the University of Westminster, an MA in Research Architecture from Goldsmiths College and a Diploma in Employment Law from the Workers Educational Association.
Over the past decade he has been active in the housing and trade union movements. He is the company director of Sick Rose LTD. He is one half of Rebel Tango where he teaches queer tango.

redpajama_set_name: RedPajamaCommonCrawl


Restoration of a large Tiffany window at 2nd Presbyterian Church in Chicago....Venturella Studio did the work.
Preservation/restoration of important Tiffany Studio window in 2nd Presbyterian Church in Chicago....scroll down to see various aspects of the cleaning, etc., etc. Venturella (Tom) Studio in New York City did the work.


Editor's Note: This blog post originally appeared on the SANS Security Awareness blog. This blog is a work in progress and will be actively updated as new information is released.
It was announced (Monday, 16 October, 2017) that the globally used WPA2 Wi-Fi security protocol has been broken. This standard is the most commonly used security standard used by Wi-Fi networks around the world. The attack targets (and breaks) the 4-way handshake that establishes the use of the unique encryption keys for that session. The attack is called KRACK by it's author Mathy Vanhoef. The security community is still learning the details and understanding it's impact, so if you can hold off on communicating about it, we would recommend it until everyone has a more complete picture. Long story short, no need to panic. However, if you need to communicate something, here are some basics.
The vulnerability impacts just about any device that uses WPA2 to connect to a Wi-Fi network, which today is about all of them. This does not impact just smartphones, laptops and tablets, but our favorite friend IoT. The most vulnerable so far appears to be Android devices.
Vendors are currently developing patches for this attack. Several, such as Microsoft, have already released patches. ZDNet has a great list of the patch status for the biggest vendors.
This is not just a confidentiality issue. If you have any HTTP (non-encrypted) traffic on the network, not only can an attacker read that traffic but launch attacks. As per the KRACK site - "As a result, even though WPA2 is used, the adversary can now perform one of the most common attacks against open Wi-Fi networks: injecting malicious data into unencrypted HTTP connections. For example, an attacker can abuse this to inject ransomware or malware into websites that the victim is visiting."
There are no reports of this being actively exploited in the wild - yet.
This is not a remote attack. A cyber criminal in one country cannot remotely hack into the Wi-Fi network of another country. The bad guy (or at least his device) has to be close enough to the targeted Wi-Fi network to connect to that network. This requirement will help limit how fast this attack can scale.
If your online connections are fully encrypted (such as over HTTPS) then you are protected against this attack. For example, browsers sessions that are using HTTPS for all connections or an email client using SSL to connect to your email server. Unfortunately, you expose yourself to risk if any of these sessions have a unencrypted packets.
WHAT DO I TELL MY WORKFORCE?
Tether: If you have reason to be concerned about this vulnerability, the simplest way to protect yourself is simply don't use Wi-Fi. Don't use Wi-Fi you say, how can I work?! Easy, tether off of your mobile device, especially in higher-risk situations such as when traveling or working away from the office.
Corporate VPN: If you have a corporate VPN, ensure all staff are using the VPN for any WI-FI connections. You may want to take the opportunity to encourage people to use a personal VPN for their own personal use.
Encrypted Sessions: If people cannot tether or do not have a VPN, then ensure any activity they are doing online is natively encrypted. This step is more limited as some encrypted sessions (such as browsing) may also include unencrypted traffic. Another option is the HTTPS Everywhere plugin for browsers. To be honest, this behavior of always using encrypted sessions should apply regardless if a network is vulnerable to KRACK or not.
Keep Systems Updated: As soon as a patch is released, ensure any device that connect to a Wi-Fi network is updated. This is a great opportunity to remind others why updating is so important, to include enabling automatic updating. Perhaps even have people subscribe to the OUCH newsletter to learn more about the basics.
We will keep you updated here on the latest findings and what you can communicate to others.
Updated 17 Oct, 2017: Added information about latest patches available.
This document was retrieved from http://www.rsaconference.com/blogs/the-krack-attack-what-to-communicate	on Sun, 21 Apr 2019 08:15:55 -0400.


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Q: How to fix the version of SQL Server in use does not support datatype 'datetime2' I tried to search in database between two dates but it get error:

The version of SQL Server in use does not support datatype 'datetime2'

This is my code
if (idbox.Text != "")
{
    conn.Open();
    SqlDataAdapter dataadabter = new SqlDataAdapter("select name, mil_no,Hodor_date,rotba,enseraf_date,user_hodor,user_enseraf,hodor_time,enseraf_time " +
    "from Hodor_Data where CONVERT(DATETIME,Hodor_date,101)" + "between @p1 AND @p2" + " and mil_no='" + idbox.Text + "'", conn);

    SqlParameter fromdate = new SqlParameter("@p1", SqlDbType.DateTime2);
    fromdate.Value = dateTimePicker1.Value;

    SqlParameter todate = new SqlParameter("@p2", SqlDbType.DateTime2);
    todate.Value = dateTimePicker2.Value;

    dataadabter.SelectCommand.Parameters.Add(fromdate);
    dataadabter.SelectCommand.Parameters.Add(todate);

    DataTable dt = new DataTable();
    dataadabter.Fill(dt);

    dataGridView1.DataSource = dt;
    conn.Close();

hodor_date is nvarchar(50)

A: You are using an older version of sql, use SqlDbType.DateTime instead as the sql server version does not support DateTime2.
...
SqlParameter fromdate = new SqlParameter("@p1", SqlDbType.DateTime);
fromdate.Value = dateTimePicker1.Value;
SqlParameter todate = new SqlParameter("@p2", SqlDbType.DateTime);
...

There are other things in the code that I take issue with (non parameterized member, not using using blocks, nvarchar for date, etc).

redpajama_set_name: RedPajamaStackExchange


text:
Q: trying to change foreground color of text and getting error "can't implicitly convert type 'string' to 'windows.ui.xaml.Media.Brush' I'm trying to change foreground color of text using
objNameWritten.Foreground = Headername[currentIndex];

syntax in loop but getting error cannot implicitly convert string to 'Windows.UI.Xaml.Media.Brush'.
How to resolve this issue?
XAML
string[] Headername = new string[] { "Yellow", "White", "Red", "Purple", "Pink", "Orange", "Green", "Grey", "Brown", "Blue", "Black" };
objNameWritten.Foreground = Headername[currentIndex];

C# code
private void FwdImgChng(object sender, TappedRoutedEventArgs e)
{
    //if (currentIndex == 11)
    //{ return; }
    currentIndex++;
    if (currentIndex > 10)
    {
        currentIndex = 10;
        return;
    }

    Header.Source = new BitmapImage(new Uri("ms-appx:///Assets/LearnColor/Header/_0000_header_" + currentIndex + ".png"));
    image.Source = new BitmapImage(new Uri("ms-appx:///Assets/LearnColor/Object/ob_" + currentIndex + "_0.png"));
    prevObjBtn.Source = new BitmapImage(new Uri("ms-appx:///Assets/LearnColor/Button/prev" + currentIndex + ".png"));
    fwdObjBtn.Source = new BitmapImage(new Uri("ms-appx:///Assets/LearnColor/Button/next" + currentIndex + ".png"));
    HeaderName.Text = Headername[currentIndex];
    objNameWritten.Text = objnamewritten[currentIndex];
    objNameWritten.Foreground = Headername[currentIndex];
    mediaElement1.Source = new Uri("ms-appx:///Assets/LearnColor/Objectnamesmp3/" + currentIndex + "_0.mp3");
    mediaElement1.AutoPlay = true;
}

A: Foreground can be SolidColorBrush as source, you can't put just a string.
You may declare your colors as Color:
    Color[] Headername =  { Colors.Yellow, Colors.White}; //etc.

And then apply to Foreground:
    objNameWritten.Foreground = new SolidColorBrush(Headername[currentIndex]);

A: You can't do it that way:
objNameWritten.Foreground = new SolidColorBrush(Headername[currentIndex]);

Foreground is Brush object and you are trying to put string there without any conversion
you can put there SolidColorBrush for example:
objNameWritten.Foreground = new SolidColorBrush(){Color = Colors.Red};

but conversion string <=> Color object is up to you (you can use enumeration as above, use Color.FromARGB() method or write your own converter, depending on the input data you want
edit:
on WPF there was method Color.FromName(string name) that would do the exact job you propably want, but it exists no more in UWP


text:
louise@theatredesk.co.uk
DINNER & SHOW
Theatres Have Closed. READ MORE.
Dear Evan Hansen Review
By: Alice Dallosso
Date: January 2020
FIND TICKETS FOR Dear Evan Hansen
DEAR EVAN HANSEN @ The Noel Coward Theatre
This a show I really wasn't sure about seeing due to its themes of teen suicide, the question of whether it is ever appropriate to persist in a lie, and also the fact that I'm not always a fan of the latest "big, must-see" show. I was offered a last-minute balcony seat by a friend and couldn't say no!
The set is really effective, with video screens and projections adding to the story. Most of the action takes place towards the front of the stage, with different set pieces swinging forward for each scene, so even if you have to book a restricted view seat for reasons of cost, you are not going to miss much (especially if you are prepared to lean a bit!), possibly with the exception of the well-known seats halfway along the grand circle and balcony slips which actually face away from the stage and are truly not suitable for vertigo sufferers.
The content of the show is far wider and deeper than I was expecting, and is a real modern-day tale set against the context of social media and mental anxiety. I was lucky to have the full main cast and I was instantly impressed with young newcomer Sam Tutty playing anxiety-ridden Evan. He is a great actor – one to watch – and has a stunning, engaging singing voice, especially his emotion-laden, pure high falsetto. Other stand-out cast for me vocally were Rebecca McKinnis as Evan's mum, and Doug Colling as Connor. For me, the musical score itself was not as impressive as I would have liked, with a rather vague, meandering quality; some of the characters' diction could have been clearer; and some pitching was sadly a little off key in one or two vocal ensembles.
During the first half I was really undecided if I liked it or not. Then, wham, there's a big punchy number just before the interval that hit me hard emotionally and made me think yes, maybe this really is going to be good. In the second half the characters develop and the story becomes more emotionally complex, and this was handled so well by the whole cast. I really don't want to include spoilers so will leave this to your imagination.
It's taken me a good 24 hours to think about and mull over this show and decide… do I think it's appropriate to handle its tough themes in this way? And in the end my feeling is yes: it really is a good show, and it brings attention to modern-day problems in a meaningful and emotionally effective way. It even includes a big dose of unexpected humour, some quite dark of course. It's a very different, and, despite a few flaws, at times deeply moving musical theatre beast.
My advice is do go and see it, but before you go, do as teenagers do and listen to the soundtrack first. The music is growing on me and I think I would have enjoyed it a lot more if I'd heard the songs before I went.
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Tag: The Florida Channel Live
January 12, 2021 in TV From Florida	USA TV
The Florida Channel Live
The Florida Channel Live: The Florida Channel (TFC) is a statewide public affairs network operated by Florida State University's WFSU-TV and funded by the Florida State Legislature. It broadcasts live coverage of the Florida Senate and the Florida House of Representatives and other public programs. TV Information Website: The Florida Channel Genre: Public TV Language: English Live Stream / Video: LIVE/ VOD Bitrate: High Country / Location: USA/ Delaware Headquarters: Tallahassee, Florida


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text:
Home/Travel/New York City's New $30 Million Tourism Campaign Says 'It's Time'
New York City's New $30 Million Tourism Campaign Says 'It's Time'
Sean HughesJune 25, 2021
The historic and highly anticipated $30 million global tourism recovery campaign for New York City is here, just as the Big Apple sees all Covid restrictions lift, 15 months after a devastating pandemic.
NYC & Company, the city's tourism board, released the new "It's Time for New York City" on Thursday, sharing details of its broad, yearlong and three-phase approach, using a combination of television, digital, outdoor media, and partnerships.
"It's an unprecedented marketing effort for NYC tourism and will ensure that we are well positioned for the future," said Chris Heywood, executive vice president of global communications at NYC & Company, in an emailed statement.
"It will showcase our unrivaled energy, excitement, vibrancy and abundance of opportunities to audiences around the world."
The campaign will initially target travelers across 23 U.S. markets and Canada, as well as in Mexico and Latin America where the Spanish tagline will be "New York City, El Momento es Ahora."
"When restrictions are lifted further afield internationally, we will permeate key markets to ensure that visitors know that it's time for New York City now," said Heywood.
For now, domestic travelers can expect to see the first round of bold and colorful messaging promoting New York City's five boroughs on TV and in video spots starting in July. Other features include an influencer campaign, and advertising in collaboration with AAA Northeast to boost domestic travel, with special offers for members across the region.
NYC & Company projects a million visitors this summer, and NYC & Company said hotel demand has steadily returned since the easing of quarantine and travel restrictions, with a 35 percent increase since April.
"We hope that travelers will move NYC up to the top of their 'must-travel-to-now' list this summer," Heywood said.
I Tried TikTok's Homemade BB Cream & I'll Never Wear Foundation Again
"Stay Strong": All The Celebrities Supporting Britney Spears After Her Hearing
How a small chain aims to deliver wellbeing in the time of Covid-19 | Travel Industry News & Conferences
Google Travel's Ambitions Are About to Be Reined In, Legislatively
Reliance to Buy Mandarin Oriental New York in $98 Million Deal
Stress Test for Destination Marketing Could Lead to Strategy Changes


text:
Twenty-five miles north out of Roosevelt and 3 miles before reaching the highway that connects Phoenix and Payson, is the town today known as Jake's Corner. The town began as a stagecoach stop in 1916 on the homestead of Annie Hardt. Annie had an honor system vegetable stand for travelers.
Today there is a general store, an RV park with about 60 residents, and Jake's Bar which serves locals and bikers.
Like Tortilla Flat, there were movie-set store fronts except in Jake's Corner there was nothing on the other side of the weathered, painted planks.
The town enjoyed some big-time notoriety as recently as 2008 when it lent its name to a film that used the town for its setting.
The 2008 film "Jake's Corner" never came to a theater near me. Without mentioning whether they were describing the real town or the make-believe one, IMDB.com says this is "a rest stop for travelers making their way through the Arizona desert, but for the people who live there, it's a rest stop for life."
I stopped for an hour and managed to talk with an 18-year resident who told me little about the town but spun a good yarn about how he got shed of his wife. Tune in tomorrow.
14 Responses to Jake's Corner, Az
What in the world would an 18 year old DO in Jake's Corner? I didn't realize places like this actually had residents. Where did he attend school? And, how? School bus?
Being isolated can cause some big problems- one of them to be ignorance of the world around one. I guess it's no different than kids out here except the cold weather , and a good school system right in town. No library either in the desert??
He is a 78-year old man who's been living there for 18 years.
Michael Joyce says:
Hmmm, I'm visualizing you with "hog" strapped to the back of that Safari . . . for local travel only of course.
Lotta classy-lookin' hogs at Jake's Bar . . . and at Tortilla Flat. Most of them a lot classier lookin' than the riders. LOL
I've been to Jake's Corner. Drank more tequila there than I normally would. Lots of old timers as I remember. Back then, I was a young, wild thing…
Karen Goucher says:
I am back in North Vancouver from Florence, Oregon. Back in the RV in late
May attending the TREK pre-rally in Salem. Then, the rally in Albany, Oregon.
Doug and Vera will be there. Are you attending?
Hope Doug is healing well from his fall! We have a new addition…..'Scuffy'.
He will be attending his first TREK event in May! Toy Poodle mother….jurys
still out on the absent father. Might know more later today. Fun to be reading
your entries again.
Lucille Bellucci says:
Do you miss seeing movies, Al? Perhaps you still go during some stops but don't mention them. I will see if I can order "Jake's Corner" from Netflix.
Sorry I am six months late with this reply. The name of the movie is Wild Hogs. I finally got to watch it the other night. AL
Rania says:
Use to ride there often. Miss stopping in there for some beers while taking the long way to Payson! Great BBQ, good music and always some good conversation. Thanks for doing a write up about it. Brings back memories.
Jim Chelsea says:
Very good movie, I really enjoyed it. Hope you finally got a chance to see it.
paula wilson says:
It was a feel good show.
I watched the movie and this little town intrigues me
Years later the filming of Wild Hogs is regarded as a major event in the history of the town. People has photos on their walls of themselves taken with Peter Fonda or John Travolta.
The window of the storefront that was used for the exterior of the diner shots is still painted with the Maggie's Diner sign. The store is not a diner and all the interior shots were at another location.
Madrid has a charm all its own that has nothing to do with its 15 minutes of fame.
I expect to stop by next time I get close.


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A Blinding Flash
By Frederick E. Tilton, M.D.; Federal Air Surgeon
Reprinted with permission from FAA Safety Briefing
You are enjoying the beauty and peace of a night flight. Suddenly, something catches your eye—literally. You are briefly aware of a blinding green light. Then, it seems as if you were punched in the eye. You instinctively close your eyes and try to avoid moving the flight controls in any way. The light subsides and, shaken, you land at the closest airport.
Ideally, you have not experienced this kind of close encounter with a ground-based laser pointer, but you need to be aware of this growing hazard. In 2010, the FAA received reports of more than 2,200 laser illumination incidents, up from around 300 just five years ago. California, Florida, and Texas recorded the most, but no place is immune with the widespread availability of cheap and powerful handheld laser pointers.
An FAA research team at the Civil Aerospace Medical Institute (CAMI) found that while the chances of permanent laser damage are remote, the immediate effects of laser exposure are especially debilitating when the eyes are adapted to low-level cockpit lighting. Physiological effects include glare, flash blindness, and afterimage.
Glare—when an object in the field of vision appears obscured by a bright light source located near the same line of sight.
Flash blindness—a temporary loss of vision that gradually fades after the light source has been removed.
Afterimage—a temporary image in the visual field after exposure to a bright light, like the spot of light you see after a camera flash.
The CAMI researchers noted that the distraction created by a laser illumination incident is significant and developed a list of recommended actions:
Anticipate—When operating in a known or suspected laser environment, the non-flying pilot (if present) should be prepared to take control of the aircraft. Consider showing non-pilot passengers how to maintain the established flight path. Laser attacks are most frequently reported near airports, occur between 7:00 and 11:00 p.m., and between 2,000 and 10,000 feet AGL.
Aviate—Check aircraft configuration and consider engaging the autopilot (if installed) or keep the aircraft trimmed for "hands-off" control of heading and altitude.
Navigate—While avoiding abrupt maneuvers, consider using the aircraft fuselage to block the laser beam by carefully climbing or turning away from the laser source.
Communicate—Inform ATC with as much detail as possible, including location/direction of the beam and your location and altitude.
Illuminate—Turn up cockpit lights to minimize further illumination effects.
Delegate—If another crewmember has avoided exposure, consider handing over control to that person.
Attenuate—Shield your eyes. Do not look directly at the laser beam and avoid drawing others' attention to the beam.
Do Not Exacerbate—Avoid rubbing your eyes.
Evaluate—If visual symptoms persist after landing, see an ophthalmologist.
Frederick E. Tilton, M.D., M.P.H., received an M.S. and an M.D. from the University of New Mexico and an M.P.H. from the University of Texas. During a 26-year career with the U.S. Air Force, Tilton logged more than 4,000 hours as a command pilot and senior flight surgeon flying a variety of aircraft. He currently flies the Cessna Citation 560 XL.
I Fly America
Ocean View, DE 19970
Office hours M-F 8:30am - 5:00pm


This complete cooking set from Alex toys has everything a budding chef needs. Each piece is just the right size for your pint-sized cook. With wood and stainless steel that look like the real thing, your kiddos will love play cooking their own food, just like mom and dad. Nine piece set includes and oven mitt, potholder, whisk, measuring spoon set, wooden spoon, saute pan, 4.5" pot with lid, and a saucepan.
Known since 1986 for quality art supplies and craft kits for kids, ALEX has expanded over the years to a lifestyle brand for creative fun. From infant to toddler to tween, they empower confidence and inspire kids to express their creativity by providing innovative creative toys for baby, bath time, preschoolers, pretend play, active play, and more!


This class will occur over two evening sessions on Wednesday and Thursday. This class is designed for the general population and outdoor enthusiasts, and follows American Heart Association guidelines. Learn basic first aid skills; how to administer CPR to infants, children, and adults; and how to use an AED. The textbook and an individual pocket mask for CPR are included in the class fee. Students who successfully complete this class will receive a certification card valid for two years.
Use Syn # 17232 to Search and Register for your class.
See Classes for complete campus class schedules.


So i'm trying to use a custom fee model with an override, but the order.Value parameter in GetOrderFee(Security security, Order order) function returns 0, any thoughts?
One more thing, can you access the raw, unadjusted price data and send it to the order fee function? The idea is to simulate the order fees more accurately.
Order.Value should be deprecated @Robert, we changed all the code to use the snippet below since order values depend on the type of order and market price.
security.SetDataNormalizationMode(DataNormalizationMode mode) to choose different data normalization modes. You could capture the split/dividend events and work backwards somehow to get the raw price. It might just be a little tricky.
order.Price is the fill price for the order, which isn't set until the fill models.


April 29 — Financial reporting and audit cases will continue to be a major focus of Securities and Exchange Commission enforcement efforts, Enforcement Director Andrew Ceresney said April 29.
The number of such cases has more than doubled in the last two years, from 53 to 114, Ceresney said in New York on a Practising Law Institute panel.
More specifically, the SEC expects to bring cases in the coming months against accounting professionals that don't perform adequate independent audits, he said. The cases would be similar to recent multi-million dollar cases against BDO USA LLP and Grant Thornton LLC The cases are part of the agency's focus on gatekeepers, including outside auditors, Ceresney said.
Meanwhile, the SEC's Division of Corporation Finance will increasingly challenge corporate disclosures that deviate from generally accepted accounting principles, Division chief accountant Mark Kronforst said April 28 (see related story).
The SEC also is pressing to claw back compensation from executives of firms implicated in financial reporting cases, even if the individuals haven't been charged with fraud, Cerseney said. The commission also expects to name more individuals in accounting enforcement actions, he said. The authority to allege negligence in addition to recklessness "gives us the ability to stretch widely in the individual realm," he said.
A recent settlement with oil company Magnum Hunter Resources Corp. set an important precedent in the internal controls arena, Ceresney said. The firm and four individuals in March agreed to pay $290,000 in fines over alleged internal-control deficiencies, even though the company hadn't posted incorrect accounting numbers and wasn't accused of fraud . The case sends an important message that there can be an enforcement action even if a firm hasn't made a misstatement, Ceresney said. "It's forward-looking—what your likely result is in the future," he said.
In addition, the agency soon will be bringing actions against municipal securities issuers as part of its Municipalities Continuing Disclosure Cooperation (MCDC) initiative, Ceresney said. The program, announced in March 2014, has focused on deficient disclosure practices involving municipal securities . The SEC already has sent settlement offers to certain issuers, an attorney told Bloomberg BNA in February .


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text:
Deep Ellum revelers raise final glass to pop-up shop experiment
Farewell Unbranded
Jennifer Chininis
Dec. 18, 2014 05:01PM EST
Photo by Andrew Arceri
What: Unbranded final happy hour
Where: Unbranded
The 411: Friends and fans of Unbranded gathered for one last happy hour at the Deep Ellum pop-up shop, where menswear brands such as Edo Popken, Wrong Side, Vincent Love and Boston's Ministry of Supply are selling their goods — alongside presenters Need and Foot Cardigan — until December 20. Attendees reminisced about the last several weeks, during which Unbranded has offered free rent to a rotating assortment of emerging brands, as well photographers and artists, including Darek Sanchez, whose paintings are hanging on the walls through Saturday. Not only did this little shindig provide shelter from the rain, but it also gave revelers an opportunity to pick up some almost-last-minute Christmas gifts.
Among the sponsors of this little experiment are Tweed, which provided coffee through the duration, as well as MailChimp, SoftLayer, Vela Keller PC, Reel FX and Common Desk. CultureMap is the media sponsor.
Who: Matt Alexander, Laura and Bryan DeLuca, Fred Jones, Luke Shapiro, Kristy Blackmon, Ryan Plesko, April Allen, Imran Sheikh, Paul Morrison, Kelsey Powell, Jocelyn Keyser and Lewis Perez.
Luke Shapiro, Kristy Blackmon, Ryan Plesko
Ministry of Supply/Facebook [https://www.facebook.com/ministryofsupply/photos_stream]
Unbranded brings out the big, manly guns for final pop-up session in Deep Ellum
The End of Unbranded
Unbranded pop-up shop is ending its Deep Ellum run on a manly note. Joining the group of menswear exhibitors for its sixth and final session is a world-renowned brand out of Boston, in addition to some more local favorites.
From December 17-20, you can shop from the following, in addition to presenters Need and Foot Cardigan:
Ministry of Supply. What began as a Kickstarter campaign has turned into a well-respected line of performance menswear made with technology-enhanced, breathable, wrinkle-free, moisture-wicking, waterproof fabric. Recyled polyester fiber infused with reclaimed coffee grounds absorbs odors. The Boston brand has been making the rounds at other pop-ups across the country.
Edo Popken. The Swiss designer opened his first U.S. flagship in the Design District in June 2013. He uses only the finest fabrics and even designs his own colors twice a year. Fine details include colored stitching, piping and special engineered buttons that don't break during dry cleaning.
Wrong Side. The Austin-based brand sells pocket squares made from repurposed fabric from some of their favorite shirt-makers. Each item is unique, short-run and limited edition; that means once they're gone, they're gone.
Vincent Love. The Dallas-born contemporary menswear line refers to its style as "casual prep" with "irreverent edge." Each shirt is touched, handled and inspected by at least seven different people before it is ready to be sold.
Darek Sanchez. The former soldier and Dallas-based artist uses recycled materials in all of his works.
For the last several weeks, Unbranded has offered free rent to a rotating menagerie of brands and artists, enabling them to reach a wider Dallas audience. It began as a bromance between menswear entrepreneurs Matt Alexander and Byran DeLuca, of Need and Foot Cardigan, respectively, who wanted to give back to the community that has been so supportive of them.
"Bryan and I want Need and Foot Cardigan to be a loudspeaker for what's happening here," Alexander said at the beginning of this adventure. They received more than 100 applications back in October and whittled it down to around 30 exhibitors, who have set up shop for about a week at a time during the six-session run. Unbranded also hosted a holiday pop-up market the Saturday after Thanksgiving.
Unbranded's hours are Wednesday-Friday, 3-7 pm, and Saturday, noon-7 pm. Join them for the final happy hour on December 17, 5-8 pm, with drinks provided by Dallas Startup Week.
Ministry of Supply
Akola Project/Facebook [https://www.facebook.com/TheAkolaProject/photos_stream]
Unbranded Deep Ellum pop-up ushers in funky fresh mix for session 5
Unbranded Session 5
Unbranded, presented by Need and Foot Cardigan, has only two sessions left in its Deep Ellum pop-up journey. For the last several weeks, Unbranded has offered free rent to a rotating menagerie of brands and artists, enabling them to reach a wider Dallas audience.
Starting December 10, in addition to items from its presenters, Unbranded welcomes Dallasites to discover goods from the following:
Akola Project. The line of textiles and accessories — handmade from paper, glass beads, horn and hand-cast Ethiopian metals — benefits development projects in Uganda, thanks to founder Brittany Merrill Underwood.
fM Fashion Music: The brainchild of fashion industry vet Velyna Morales and music enthusiast Jill Lynch, who combine the worlds of fashion and music to change the way people shop online.
Jewelry-Heir. Bold, handcrafted jewelry — think black onyx mixed with stainless steel and horn — from designer and founder Trudi B.
Moreau Boutique. Moreau searches the globe for unique fashion finds, from girly dresses, bottoms and coats to whimsical tees.
Unbranded's hours are Wednesday-Friday, 3-7 pm, and Saturday, noon-7 pm. Join them for a happy hour on December 10, 5-7 pm. Visitors can also settle in with a cup of Tweed coffee during pop-up shop hours.
In previous rounds, Unbranded has welcomed menswear, jewelry designers, home and garden vendors, and a range of artists and photographers. Stay tuned for information about its grand finale week.
Akola Project
Mad Leaf/Facebook
Deep Ellum's Unbranded throws a tee party and invites some handbags
Unbranded, the unconventional pop-up shop in Deep Ellum, is now in the fourth week of its experiment to provide free rent to a rotating roundup of local brands, makers and artists. Starting December 3, local shopaholics can scope out and (hopefully) purchase good from the following new exhibitors:
Cykochik, vegan handbags from Nikki Koenig, who has a Causes Collection that benefits organizations such as Which Wich's Project PB&J.
Mad Leaf, Brent Martin's line of organic, sustainably made T-shirts. Martin recently partnered with the North Texas Food Bank.
Le Pepin, Rizabhel Milallos' darling handmade reversible skirts for little girls.
Postcode, Mark Gomez's venture that celebrates local neighborhoods through its T-shirts.
Photographer Sean Berry, whose work ranges from portraits of athletes and musicians to fashion and travel images.
In addition to the above, visitors can shop wares from Need and Foot Cardigan. It was the bromance between the founders of those two Dallas ventures, Matt Alexander and Bryan DeLuca, that started this whole thing. As members of the startup community themselves, they wanted to prop up other creatives who may not otherwise get the exposure in the community.
Unbranded's hours are Wednesday-Friday, 3-7 pm, and Saturday, noon-7 pm. Join them for a happy hour on December 3, 5-7 pm, sponsored by Dallas Startup Week. As always, Tweed is serving coffee during pop-up shop hours.
In previous rounds, Unbranded has welcomed menswear, jewelry designers, home and garden vendors, and a range of artists and photographers. The exhibitor groups rotate about once a week, and Unbranded will stay open through the first week in January.
Mad Leaf T-shirts are made with organic cotton and a combination of polyester and recycled plastic bottles.
Photo courtesy of The Citizenry
Deep Ellum's Unbranded pop-up shop gets homey and holiday ready
Unbranded for the Holidays
Unbranded, the Deep Ellum pop-up presented by Need and Foot Cardigan, settles into week three by showcasing goods for the home. Plus there is a special event coming up the Saturday after Thanksgiving, if you like to shop for holiday gifts as a form of post-Turkey Day cardio.
Starting Wednesday, November 19, you can visit with the following creatives at Unbranded, who are setting up shop until end of day Saturday:
Lilco Letterpress: Prints, cards and gifts from Lily Smith
Season Two: Repurposed home decor from Christa Robson
Flower Child Plants: Floral and terrariums from Cynthia Koogler
R2 Finds and Designs: Midcentury modern furniture and decor from Richard Reed
Kurt Griesbach: Architecture and landscape photography
Also coming up, on November 29, 11 am-6 pm, Unbranded is hosting Shop Small Holiday Market, featuring myriad local makers, designers and other startups to celebrate Small Business Saturday. Shop Small is a partnership with Carly Nance and Rachel Bentley from The Citizenry, a local home goods startup.
In addition to Citizenry products, visitors can shop Get Reel Goods, jewelry lines like Kristin Miller and Valentine-Giannone, Of Mud & Coal leather goods, Oh Deery florals, and Woven Laine textile art, among many others. There also will be complimentary beer tastings from Community and Holy Kombucha mimosas. Complimentary gift bags and custom calligraphy will be available with every purchase.
Unbranded's regular hours are Wednesday-Friday, 3-7 pm, and Saturday, noon-7 pm. Join them for a happy hour on November 19, 5-7 pm. Tweed is still serving coffee during pop-up shop hours and at the Shop Small Holiday Market.
In previous rounds, Unbranded has welcomed Quixotic pocket squares, artist Riley Holloway and several jewelry designers. The purpose of this project is to provide free retail and events space to entrepreneurs, designers, developers, photographers, artists and the like for a couple of months to help them gain exposure.
Find goods from The Citizenry at the Shop Small Holiday Market on November 29 at Unbranded.
City+Sky/Facebook [https://www.facebook.com/cityskycollection/]
Deep Ellum pop-up Unbranded gets a woman's touch for second round
Unbranded for the Girls
For its second round, Unbranded has the benefit of a woman's touch. The Deep Ellum pop-up shop conceived by Dallas entrepreneurs Matt Alexander and Bryan DeLuca are welcoming some jewelry designers and a female artist November 12-15. These girls are displaying their goods alongside items from Need and Foot Cardigan.
Stop by Wednesday through Saturday to see the following:
Gift Girl, from Jean Voute
Kristin Miller
City + Sky, from sisters Courtney and Allison Edwards
Ferocity Jewelry, from April Nicolaides
Artist Angie Reisch
While hanging out with these gals, you can also settle in with a cup of coffee from Houndstooth sibling Tweed. In addition, photographer Ben Larzabal is offering to do $25 headshots for the local startup community.
Unbranded hours are Wednesday-Friday, 3-7 pm, and Saturday, noon-7 pm. Join them for a happy hour on November 12, 5-7 pm, sponsored by local entrepreneur Katie Troutman.
In the first round, Unbranded welcomed Quixotic pocket squares, Of Mud & Coal fine leather goods, artist Riley Holloway and photographer Austin Mann. The purpose of this project is to provide free retail and events space to entrepreneurs, designers, developers, photographers, artists and the like for a couple of months to help them gain exposure.
In addition to Tweed, Unbranded sponsors MailChimp, SoftLayer, Vela Keller PC, Reel FX and Common Desk have helped make this project possible.
City+Sky jewelry.
Ad Placement 300x100
The 7 essential parties of spring 2023 for philanthropic Dallas young professionals
Philanthropy is fun
Dallas' big-hearted, young movers and shakers work hard and play hard. Spring 2023 finally brings back a full slate of fantastic parties, power lunches, and galas for good causes. From a disco-themed Masquerade to a Derby-style Day at the Races, these are the seven top social events for every Dallas young professional's calendar.
CASAblanca, February 4
The Dallas CASA Young Professionals kick off YP social season with this fabulous casino party, filled with games, cocktails, appetizers, silent auctions, prizes, and dancing at The Hall on Dragon. After trying their luck at the blackjack and roulette tables, guests can get crazy on the dance floor to the sounds of The Special Edition band. The event is under the guidance of co-chairs Anuka Dhakal, Brooke Donelson, and Melissa Wong, and all proceeds benefit the children served by Dallas CASA. Note: Tickets are officially sold out, but the silent auction is open to the public here, and more information on how to help is here.
Masquerade, February 17
The Genesis Young Leaders are back with their spring fundraising bash after a two-year pandemic pause. Themed "A Night Out at the Disco," the event promises a sparkling evening of beats by DJ Blake Ward, an open bar with signature cocktails, casino games, a silent auction, roller skate entertainment, and more - all at The Empire Room. Dress code is semiformal - sequins encouraged - and co-chairs are Michael Anorue, Brooke Roshell, and David Green. All proceeds will benefit the many women and children whom Genesis Women's Shelter serves. Tickets are available here.
Junior League Milestones Luncheon with Rob Lowe, April 14
Known for snagging big-name Hollywood speakers, this year's event doesn't disappoint. Award-winning actor, activist, and author Rob Lowe is the keynote speaker for the annual Junior League of Dallas luncheon. Pam Busbee will be honored as Sustainer of the Year at the event, taking place at Omni Dallas Hotel and chaired by Heather McNamara. The luncheon benefits Junior League's many civic causes throughout greater Dallas. Tickets and more information are here.
Under the Moonlight and Into the Garden Gala, April 14
Ronald McDonald House of Dallas has an active "Young Friends" auxiliary organization who will no doubt be out in force at RMHD's Under the Moonlight and Into the Garden Gala. Taking place at the Northwood Club, the cocktail-attire affair is chaired by Laura Petka and Lauren Pond. The annual gala has, since 2006, raised more than $2 million for the families living at RMHD and has furthered their mission of supporting the health and well-being of seriously ill or injured children receiving treatment by providing them and their families a home-away-from-home. Watch for more information and tickets here.
Yellow Rose Gala, April 15
The Yellow Rose Gala comes back big at the Renaissance Dallas Hotel as the "Everything is Bigger in Texas Masquerade." Christie Eckler, David Moore, and Tamiko Ryan (three individuals who each live with multiple sclerosis) are the inspiring event co-chairs who'll help the organization raise money for a cure for MS. The night will also honor Patrick and Kristy Sands, and the Dee Wynne Courage award will be presented to the Walker Bateman IV family. The high-energy evening will also include live music by legendary Motown singer and performer GC Cameron. Tickets are available here.
CultureMap Tastemaker Awards, May 4
Save the date for the most scrumptious culinary event of the season (not that we're biased) and get ready to raise a glass to Dallas' restaurant and bar stars. The annual CultureMap Tastemaker Awards returns this spring — and tickets will be on sale soon. Join us May 4 at Fashion Industry Gallery (F.I.G.) for an evening honoring the very best of Dallas' culinary scene, with a portion of the proceeds benefiting our nonprofit partner, Harvest Project Food Rescue. More details will be coming soon.
Day at the Races, May 6
Those who can't make it to Churchill Downs have the next best option in this festive Kentucky Derby-themed party. Guests should show up to Turtle Creek Park dressed in their Derby best for Southern food, mint juleps, a silent auction, table games, "wagering," music, dancing, a best-dressed and best-hat competition, and of course, Kentucky Derby viewing. The event - now it its 15th year - is chaired by Katherine and Austin Wyker with honorary chairs Olivia and Charles Hasty - and benefits the work of Turtle Creek Conservancy. More information and tickets here.
Photo by Amy E. Frost
Members of Genesis Young Leaders at the annual Masquerade.
Fall Out Boy reaches for the stars with new tour with stop in Dallas
Rock band Fall Out Boy will bring their 2023 headlining tour, "So Much For (Tour) Dust," to Dallas with a stop at Dos Equis Pavilion on Wednesday, June 28.
The tour will travel to 29 cities across North America over the course of 46 days, starting with a big show on June 21 at Wrigley Field in their hometown of Chicago, one of several stadium shows on the tour.
In addition to the Dallas date, they will also play at Cynthia Woods Mitchell Pavilion in The Woodlands outside of Houston on June 27.
The tour is in support of the band's forthcoming new album, So Much (For) Stardust, set for release on March 24. They'll be joined by Bring Me The Horizon at both Texas shows.
So Much (For) Stardust is Fall Out Boy's eighth studio album since making their debut with 2003's Take This to Your Grave. The band broke out with their sophomore album, From Under the Cork Tree, and have since gone on to have four No. 1 albums, including their three previous releases.
Fall Out Boy last played in the Dallas-Fort Worth area as part of the Hella Mega Tour with Green Day and Weezer, which came to Globe Life Field in Arlington in July 2021.
Ticket pre-sales for the tour go on sale Thursday, February 2 beginning at 10 am. General tickets will be available for purchase beginning Friday, February 3 at 10 am. For all dates and details, go to falloutboy.com/tour.
Fall Out Boy – So Much For (Tour) Dust | 2023 North American Dates
Wednesday, June 21 Chicago, IL Wrigley Field
Friday, June 23 Maryland Heights, MO Hollywood Casino Amphitheatre
Saturday, June 24 Bonner Springs, KS Azura Amphitheater
Tuesday, June 27 The Woodlands, TX The Cynthia Woods Mitchell Pavilion
Wednesday, June 28 Dallas, TX Dos Equis Pavilion
Friday, June 30 Phoenix, AZ Talking Stick Resort Amphitheatre
Saturday, July 1 Chula Vista, CA North Island Credit Union Amphitheatre
Sunday, July 2 Los Angeles, CA BMO Stadium
Wednesday, July 5 Mountain View, CA Shoreline Amphitheatre
Friday, July 7 Salt Lake City, UT USANA Amphitheatre
Sunday, July 9≠ Englewood, CO Fiddler's Green Amphitheatre
Tuesday, July 11 Rogers, AR Walmart AMP
Thursday, July 13 Somerset, WI Somerset Amphitheater
Saturday, July 15 Cincinnati, OH Riverbend Music Center
Sunday, July 16 Noblesville, IN Ruoff Music Center
Tuesday, July 18 Cuyahoga Falls, OH Blossom Music Center
Wednesday, July 19 Bristow, VA Jiffy Lube Live
Friday, July 21 Charlotte, NC PNC Music Pavilion
Saturday, July 22 Virginia Beach, VA Veterans United Home Loans Amphitheater
Monday, July 24 West Palm Beach, FL iTHINK Financial Amphitheatre
Tuesday, July 25 Tampa, FL MIDFLORIDA Credit Union Amphitheatre
Wednesday, July 26 Atlanta, GA Lakewood Amphitheater
Saturday, July 29 Clarkston, MI Pine Knob Music Theatre
Sunday, July 30 Toronto, ON Budweiser Stage
Tuesday, August 1 Forest Hills, NY Forest Hills Stadium
Wednesday, August 2 Boston, MA Fenway Park
Friday, August 4 Darien Center, NY Darien Lake Amphitheater
Saturday, August 5 Holmdel, NJ PNC Bank Arts Center
Sunday, August 6 Camden, NJ Freedom Mortgage Pavilion


text:
\section{Description of the Algorithm}
We shall start with a motivating construction which will also provide
a skeleton of the proof of the correctness of our
algorithm.

Assume that $K$ is in fact the field ${\mathbb C}$ of complex numbers.
Let $s, v$ be two new variables and let  $D_v=D\langle v,\partial_v\rangle$.
\begin{notn}
Throughout we will denote $\partial f/\partial x_i$
by $f_i$.
If $P\in D_v$ is an operator interpreted as a polynomial in
$\partial_1,\ldots,\partial_n$, we will simply write $P(\partial_x)$.
Similarly we will abbreviate
$P(\partial_1-v^2f_1\partial_v,\ldots,\partial_n-v^2f_n\partial_v)$ by
$P(\partial_x-v^2f_x\partial_v)$.
\end{notn}
Consider the ring $D_v$ and the ${\mathbb C}$-vectorspace
$R_f[s]\otimes f^{-s}$. Here, $f^{-s}$ should be
thought of as a symbol that behaves like the complex valued function
$f^{-s}$ under differentiation and the tensor is over ${\mathbb C}$.
We shall turn this vectorspace into a
module over $D_v$ by means of the action $\bullet$ defined as
follows.
We require that all $x_i$ act as
multiplication on the left factor,
while $\partial_i$ acts by the ``product rule''
$\partial_i\bullet(\frac{g(x,s)}{f^m}\otimes
f^{-s})=\partial_i(\frac{g(x,s)}{f^m})\otimes
f^{-s}+\frac{g(x,s)}{f^{m+1}}(-s)f_i\otimes f^{-s}$.
Thus, we only need to define the
action of $v$ and $\partial_v$.
We set
\begin{eqnarray*}
v\bullet\left(\frac{g(x,s)}{f^m}\otimes
f^{-s}\right)&=&\frac{g(x,s+1)}{f^{m+1}}\otimes f^{-s},\\
\partial_v\bullet\left(\frac{g(x,s)}{f^m}\otimes
f^{-s}\right)&=&-(s-2)\frac{f\cdot g(x,s-1)}{f^{m}}\otimes f^{-s}.
\end{eqnarray*}
We observe that $v$ is simply shifting $s$ up by one (in particular,
the extra $f$ in the denominator comes from shifting the exponent in
$f^{-s}$) and $\partial_v$ is shifting $s$ down by one, together with the
``differential'' $2-s$ of the shift operator
(cf.\ the action defined in \cite{M}).

Armed with this action on $R_f[s]\otimes f^{-s}$ we can define
an action of $D_v$ on $D/J\otimes_R (R_f[s]\otimes f^{-s})$ as
follows. $v$ and $\partial_v$ commute with the first factor in the
tensor product, $x_i$ acts by left multiplication on the first factor
and $\partial_i$ acts by the product rule.

We detect a certain set of trivial relations for this
action. Namely, let us ask which operators on $D_v$ are
candidates for annihilating the element $\bar 1\otimes 1\otimes
f^{-s}$, the bar denoting cosets in $D/J$.
Independently of $J$, $1-vf$ is such an annihilator. Assume that
$J$ is generated by $\{P_j(\partial_x)\}_1^r$ where we think of $P_j$ as a
polynomial in $\partial_x$
with left coefficients in $R$.
Let us define a ring map $\phi$ from $D$ to $D_v$ by mapping $P\in D$ to
$\phi(P_j(\partial_x))=Q_j(\partial_x):=P_j(\partial_x-v^2f_x\partial_v)\in D_v$ (recall
$f_i=\partial_i(f)$).
It is easy to see
that this assignment preserves commutators and hence is an actual ring
map. We remark that $\phi$ represents the map
$U\stackrel{\cong}{\longrightarrow} \operatorname{V}(1-vf)\subseteq {\mathbb C}^{n+1}$ given by
$x\to (1/f(x),x)$ on the level of differential operators, while the
inclusion $\phi(D)\hookrightarrow D_v$ corresponds to $\operatorname{V}(1-vf)\hookrightarrow {\mathbb C}^{n+1}$.

We claim that $Q_j(\partial_x)$ annihilates $\bar 1\otimes 1\otimes
f^{-s}$. To prove this, we observe that $(\partial_i-v^2f_i\partial_v)\bullet
(\bar
P\otimes 1\otimes f^{-s})$ equals $\bar{\partial_iP}\otimes 1\otimes
f^{-s}$ for all $P\in D$. Thus $Q_i(\partial_x)\bullet(\bar 1\otimes 1\otimes
f^{-s})=\bar {P_i(\partial_x)}\otimes 1\otimes f^{-s}=0$. We point out that
$-v\partial_v+1$ acts as multiplication by $s$ and that this construction
is (formally) independent of the base field.

Our main statement is the following
\begin{thm}
Let $M=D/J$.
Consider the left ideal $D_v\cdot\{1-xv,\phi(J)\}$ and the right ideal
$\{\partial_v\}\cdot D_v$ in $D_v$.
The quotient $D_v/(D_v\cdot\{1-xv,\phi(J)\}+\{\partial_v\}\cdot D_v)$
is isomorphic to $M\otimes R_f$ as
$D$-module. Moreover, the natural map $M\to M\otimes_RR_f$ sends $\bar
1\in M$ to $\bar 1\otimes \frac{1}{f^2}$.
\end{thm}
It is worth noticing that this is in fact a
left $D$-module due to the fact that $D$ and $\partial_v$ commute.

In the general context in which the theorem is stated, the $D$-module
$D_v/(D_v\cdot\{1-xv,\phi(J)\}+\{\partial_v\}\cdot D_v)$ will not be a finitely generated
$D$-module. If however $M$ is holonomic on $U=K^n\setminus
\operatorname{V}(f)$, then
$M\otimes_RR_f=D_v/(D_v\cdot\{1-xv,\phi(J)\}+\{\partial_v\}\cdot D_v)$ will be
holonomic, and in
particular finitely
generated.
In order to compute the structure of the localized module,
we observe that it is the integration of the left $D_v$-module
$D_v/D_v\cdot\{1-xv,\phi(J)\}$ with respect to $\partial_v$
(cf.\ \cite[Theorem 5.7]{Oa3}, \cite[Section 6]{O-T1}).

Methods for the algorithmic computation of $0$-th integration worked
out in \cite[Theorem 5.7]{Oa3}
(i.e., the restriction to $v=0$ of the Fourier transform of the module,)
together with our theorem give the following
algorithm.
Let $N$ denote $D_v/(\{\partial_v\}\cdot D_v +D_v\cdot\{1-fv,\phi(J)\})$.
\begin{alg}
\label{loc-alg}
Input: $f\in R$; $\{P_1,\ldots,P_r\}\subseteq D$ generating $J$, $D/J$
holonomic on $U=K^n\setminus \operatorname{V}(f)$.

\noindent Output: $k\in {\Bbb N}$; $\{Q_1,\ldots,Q_t\}\subseteq D$ such that
$D/D\cdot\{Q_1,\ldots,Q_t\}$ is isomorphic to $D/J\otimes _RR_f$ generated by
$\bar 1\otimes \frac{1}{f^{k+2}}$.

\noindent Begin.
\begin{enumerate}
\item For $P_i, i=1,\ldots,r$
compute $\phi(P_i)\in D_v$ defined by replacing $\partial_x$ by
$\partial_x-v^2f_x\partial_v $.
\item Compute the $b$-function $b(s)$ for integration of
$D_v/D_v\cdot\{1-fv,\phi(J)\}$ with respect to $\partial_v$. That is, find
$K[v\partial_v]\cap\,\operatorname{in}_{w}(D_v\cdot\{1-fv,\phi(J)\})$ where $w$ is the weight
assigning 1 to $v$, $-1$ to $\partial_v$ and 0 to all other
variables. Replace $v\partial_v$ by $-s-1$.
\item Let $k$ be the largest non-negative integer root of $b(s)$.
If there is no such root, then output $I=D$, else continue.
The integral
$N$ is generated by the coset of
$v^k$ in $N$.
\item Compute the annihilator $I$ over $D$ of $v^k$ in $N$.
\item $D/J\otimes_R R_f$ is generated by $\bar 1\otimes f^{-(k+2)}$ and
isomorphic to $D/I$.
\item Return $k$ and $I$.
\end{enumerate}
End.
\end{alg}
An algorithm to perform step 2 of the algorithm is given in
\cite[Algorithm 4.5]{Oa2}.

The steps 3 and 4 are nothing but an algorithm to get the $0$-th integral
of $D$-modules.
Here is a more precise description of steps  3 and 4.
\begin{enumerate}
\item Let $G = \{ g_1, \ldots, g_m \}$ be a Gr\"obner basis of
$D_v \cdot \{ 1-vf , \phi(J) \}$ with respect to $w$
(see, e.g.,  \cite[section 1.1]{SST}).
\item Let $G_k$ be the set
$$ \{\, {\rm normalForm}( v^i g_j , \{ \partial_v \}\cdot D_v )\,|\,
    j=1, \ldots, m,  0 \leq i \leq k - {\rm ord}_w (g_j) \}.
$$
\item Regard $D\cdot \{G_k\}$ as a left submodule of the free module
$$ D\, v^0 + D\, v^1 + \cdots + D \, v^k = D^{k+1} $$
and find generators of
$D \cdot \{ G_k \} \cap D\, v^k$.
The last intersection can be computed by using an order to
eliminate $v^0, \ldots, v^{k-1}$,
i.e, by using an order $\succ$ such that
$ a_i v^i \succ a_k v^k$ for all $i=0, \ldots, k-1$ and
$a_i, a_k \not= 0$ in $D$.
\end{enumerate}
Here, we put
$$ {\rm ord}_w (g):= \max\left\{ w \cdot (\alpha,\beta) \,|\,
     g = \sum a_{ \alpha \beta } v^\alpha \partial_v^\beta \right\}
$$
following the notation of \cite{SST}.
${\rm normalForm}(g,\{\partial_v \}\cdot D_v)$ means taking the normal
form of $g$ with respect to the right ideal $\{\partial_v\} \cdot D_v$.
For example,
$$ {\rm normalForm}(v^2 \partial_v^2 ,\{\partial_v \}\cdot D_v) =
   {\rm normalForm}(\partial_v^2 v^2 - 4 \partial_v v + 2 ,\{\partial_v \}\cdot D_v)
   = 2.
$$

\section{Proof of correctness of the algorithm}
Let us first provide the
\par
\noindent{\bf Proof of the Theorem:}
Given an operator $P\in D_v$ we shall define its {\em normal form} in $D_v$.
The goal is a presentation of $P$ where $\partial_i-v^2f_i\partial_v$ take the
position of $\partial_i$. In other words, we are aiming for a sum of the
form $P=\sum \partial_v^av^bp_{ab}(x)q_{ab}(\partial_x-v^2f_x\partial_v)$ where
$p_{ab} $ and $q_{ab}$ are polynomials in $n$ variables over $K$.
To this end, write first $P$ as $\sum
\partial_v^av^bp_{ab}(x)q_{ab}(\partial_x)$.
The operator $P^1:=\sum\partial_v^av^bp_{ab}(x)q_{ab}(\partial_x-v^2f_x\partial_v)$
has the property that $P-P^1$
will have lower degree in $\partial_x$ than $P$. If $P-P^1=0$,
quit. Otherwise write $P-P^1$ as $\sum
\partial_v^av^bp^1_{ab}(x)q^1_{ab}(\partial_x)$ and set
$P^2:=\partial_v^av^bp^1_{ab}(x)q^1_{ab}(\partial_x-v^2f_x\partial_v)$. Repeat
this procedure until we arrive at $P^l=0$. Then $P=P^1+\cdots+P^l$ and
this sum is the desired normal form in $D_v$.
We shall write $\tilde P$ for the normal form of
$P$ in $D_v$.

The normal form in $D_v$ of an operator induces a normal form in
$D_v/\{\partial_v\}\cdot D_v$ by removing all terms in $\{\partial_v\}\cdot D_v$
from the normal
form of $P$ in $D_v$. We denote the normal form of $P\in D_v$ in
$D_v/\{\partial_v\} \cdot D_v$ by $\bar{\tilde P}$.
Of course, $P+\{\partial_v\} \cdot D_v=\tilde P+ \{\partial_v\} \cdot D_v$ as
cosets. We notice that both normal forms are unique.
As an example, consider the normal form of $\partial_i$ in
$D_v/\{\partial_v\}\cdot D_v$:
$P=\partial_i$, $P^1=\partial_i-v^2f_i\partial_v$, thus
$P^2=v^2f_i\partial_v=\partial_vv^2f_i-2f_iv$, $P^3=0$ and  hence
$\bar{\tilde P}=(\partial_i-v^2f_i\partial_v)-2f_iv+ \{\partial_v\} \cdot D_v$.

As a $D$-module, the quotient
$N=D_v/(\{ \partial_v\} \cdot D_v +D_v\cdot\{1-vf,\phi(J)\})$ is
spanned by the powers of $v$, which are in normal form.
Let us try to understand the relations among these powers. To this
end note that
$(1-fv)(\partial_i-v^2f_i\partial_v)=(\partial_i-v^2f_i\partial_v+f_iv)(1-fv)$ which
implies that $\bar{(1-fv)\tilde P}=0$ in $N$ for all $P\in D_v$.
This proves that $\bar{f(v\tilde P)}=\bar{\tilde P}=\bar P$ in
$N$ for all $P\in D_v$ and we conclude that every element in $N$
is divisible by $f$.

Moreover, the division by $f$ is unique since
if $f\bar{\tilde Q}=f\bar{\tilde Q'}$ in $N$ then $\bar{vf(\tilde Q-\tilde
Q')}=0$ in $N$ and that
implies $\bar{\tilde Q}=\bar{\tilde Q'}$ in $N$.
Conversely, for all $\bar{\tilde P}\in N$ there is a unique
$\bar{\tilde Q}\in N$
for which $\bar{v\tilde Q}=\bar{\tilde P}$ because then necessarily
$\bar{\tilde
Q}=f\bar{\tilde P}$. So $f$ is an invertible operator on $N$ and the
inverse is given by $v$ acting on the normal form representative of a
coset.

We shall now make use of the action we defined in the previous section.

The map $D_v\to D/J\otimes_R (R_f[s]\otimes f^{-s})$
sending $1$ to
$\bar 1\otimes  1\otimes f^{-s}$
defined via the action $\bullet$ is surjective.
Consider the combined map $D_v\to
D/J\otimes_R( R_f[s]\otimes f^{-s})\to \left(D/J\otimes_R( R_f[s]\otimes
f^{-s})\right)/(s-2)\left(D/J\otimes_R( R_f[s]\otimes f^{-s}\right))$.

This is a surjective map of left $D$-modules and the kernel contains
$\{\partial_v\}\cdot D_v +D_v\cdot\{1-vf,\phi(J)\}$. If an operator in $D_v$
is in the kernel, we can assume it to be in normal form in
$D_v/\{\partial_v\}\cdot D_v$
since $\{\partial_v\} \cdot D_v$
is in the kernel. Any such operator may be written as
$v^kP(\partial_x-v^2f_x\partial_v)$
where $P(\partial_x)\in D$. We conclude that $P$ must already
be in the
kernel since $v^kP(\partial_x-v^2f_x\partial_v)\bullet(\bar 1\otimes 1\otimes
f^{-s})=v^k\bullet(\bar{P(\partial_x)}\otimes 1\otimes
f^{-s}=\bar{P(\partial_x)}\otimes f^{-k}\otimes f^{-s}$.
Thus $P(\partial_x-v^2f_x\partial_v)\bullet (\bar 1\otimes 1\otimes f^{-s})\in
(s-2)D/J\otimes_R(R_f[s]
\otimes f^{-s})$ and therefore $f^jP(\partial_x)\in D[s]\cdot
(J,(s-2))$ for some $j\in {\Bbb N}$. Since neither $P$ nor $J$ does
contain $s$, setting $s=2$ we see that
$P(\partial_x)$ is in the $f$-saturation of $J$, $f^jP(\partial_i)\in J$.

$f^jP(\partial_x)\in J$ implies that
$f^jP(\partial_x-v^2f_x\partial_v)\in\phi(J)$. Modulo $D_v\cdot\{1-vf\}$ this is equivalent
to $P(\partial_x-v^2f_x\partial_v)\in\phi(J)$ since
$f^jP(\partial_x-v^2f_x\partial_v)$ is in normal form. This simply means
that $P$ is in the kernel of $D_v\to
D/J\otimes_R (R_f[s]\otimes f^{-s})\to \left(D/J\otimes_R( R_f[s]\otimes
f^{-s})\right)/(s-2)\left(D/J\otimes_R( R_f[s]\otimes f^{-s})\right)$ if
and only if it is in $\{\partial_v\}\cdot D_v +D_v\cdot\{1-vf,\phi(J)\}$.

Finally we observe that
\[
\left(D/J\otimes_R( R_f[s]\otimes
f^{-s})\right)/(s-2)\left(D/J\otimes_R( R_f[s]\otimes f^{-s})\right)
\]
is
isomorphic to $D/J\otimes_R R_f$ by means of the map
$\bar P\otimes \frac{g(x,s)}{f^m}\otimes f^{-s}\to
\bar P\otimes \frac{g(x,2)}{f^{m+2}}$. \qed

\begin{rem}
The theorem and its proof generalize nearly
 verbatim to the situation where $M$ is any
finitely generated $D$-module.
\end{rem}
Now let us consider the situation in which $M=D/J$ is holonomic on $U$.
Then $D_v/(\{\partial_v\}\cdot D_v +D_v\cdot\{1-fv,\phi(J)\})$ is a finite
$D$-module as it is isomorphic to the module
$M\otimes_RR_f$ which is holonomic by theorem 1.3 of \cite{K2}.
We can find a generator by computing the $b$-function for
integration along $\partial_v$ for $D_v/D_v\cdot\{1-vf,\phi(J)\}$ as in step 2 of algorithm
\ref{loc-alg}. If $k$ is the  largest root
of the $b$-function
then  $v^k$ is a generator for
$D_v/(\{\partial_v\}\cdot D_v +D_v\cdot\{1-fv,\phi(J)\})=M\otimes R_f$ (compare \cite{O-T2},
algorithm 5.4). Thus in order to represent the localization $M\otimes
_RR_f$ as a quotient of $D$ all one needs to do is to find the
annihilator of $v^k$ over $D$. This shows the correctness of our algorithm.

\begin{rem}
Again, the algorithm generalizes to the non-cyclic situation. Let
$M=D^m/J$, $D^m=\oplus_1^mDe_j$. The
modifications are as follows.
Compute $m$ separate $b$-functions $b_j(s)$ to the integration of
$D_v(e_j+\phi(J))/(D_v\cdot\{\phi(J),(1-vf)e_j\})$ along $\partial_v$.
$M\otimes_R R_f$ is generated by the cosets of $v^{k_j}e_j$ in $N$ where
$k_j$ is the largest integer root of $b_j(s)$.
\end{rem}

\section{Categorical explanation of the  algorithm}
Let us now give a more categorical explanation of the validity of our
algorithm.

Decompose $j : K^n \setminus V(f) \rightarrow K^n$ as
$j = p\circ\iota\circ\phi$;
$$
\begin{array}{ccc}
  W           & \stackrel{\iota}{\longrightarrow} & K^{n+1} \\
 {\Big \uparrow \rlap{$\vcenter{\hbox{$\scriptstyle\phi$}}$}}&
 & {\Big \downarrow \rlap{$\vcenter{\hbox{$\scriptstyle p$}}$}} \\
 K^n \setminus V(f) & \stackrel{j}{\longrightarrow}& K^n \\
\end{array}
$$
where
$\phi : K^n \setminus V(f) \rightarrow W = \{(v,x) \mid v\cdot
f(x) = 1\}$ is
defined by $x\mapsto (1/f(x),x)$; $\iota : W \hookrightarrow K^{n+1}$ is
the closed embedding, and $p : K^{n+1} \rightarrow K^n$ is the
natural projection.
Then we have
\[
 M\otimes_RR_f = \int_j j^{-1}M = \int_p\int_\iota\int_\phi j^{-1}M
\]
by the chain rule of integration functors
(see, e.g., \cite[p.251, 6.4 Proposition]{Borel}, \cite[1.5.1]{HT}).
Note that the chain rule holds in the derived category
in general, but, in this case,
$\int_j$ is an exact functor since
${\cal D}_{X \stackrel{j}{\leftarrow}U} = {\cal D}_X[1/f]$
is flat over ${\cal D}_U$ and
$j$ is an affine morphism.
$\int_\iota \int_\phi$ is also an exact functor.
Hence, we have only to compute  $0$-th integrals in each step of the
computation of
the integral functors.
$\int_\phi j^{-1}M$ is obtained by the coordinate transformation
represented by our ring map $\phi$;
consider the map
$$y_i = x_i,\ (i=1, \ldots, n),\  y_{n+1} = 1/f(x).$$
Then, $\partial_{x_i} = \partial_{y_i} - \frac{f_i}{f^2} \partial_{y_i}
= \partial_{y_i} - {f_i} v^2 \partial_{y_i} $ modulo $ 1-fv =0$,
which commute with each other and define our ring map $\phi$.
$\int_\iota$ is nothing but Kashiwara equivalence corresponding to
$\phi(D)\hookrightarrow D_v$.
It follows that $\int_\iota\int_\phi j^{-1}M=D_v/(D_v\cdot\{\phi(J),1-fv\})$,
compare also
Proposition A.1 (p.\ 596) of \cite{Oa1}.
Integration under the projection $p$ corresponds then to our last step
accomplished by forming the quotient
$\left( \int_\iota\int_\phi j^{-1}M \right)/
  \{\partial_v\}\cdot \left(\int_\iota\int_\phi j^{-1}M\right)$.

Since $j^{-1}M$ is holonomic, so is $\int_\iota\int_\phi j^{-1}M$ and
hence the $b$-function for integration is nonzero, thus guaranteeing
termination of the search for generators of $\int_jj^{-1}M$.

\section{Examples}
\begin{ex}
For our first example we take $n=1, x=x_1, K={\mathbb C}, J=x\partial_x+\lambda,
\lambda\in{\mathbb C}, f(x)=x$.

In this scenario, we have to compute the integral of the module
$D_v/(1-xv,x(\partial_x-v^2\partial_v)+\lambda)$ along $\partial_v$.
As $D_v\cdot\{1-xv,x(\partial_x-v^2\partial_v)+\lambda\}=
D_v\cdot\{\partial_xx-\partial_vv+1+\lambda,1-xv\}$,
one
sees that the $b$-function is $s(s+1+\lambda)$. Thus
the largest integer root is either $0$ or $-1-\lambda$, depending on
whether $\lambda$ is a negative integer or not.
So $M\otimes_RR_x$ is generated by
$\bar 1\otimes x^{-(-1-\lambda)-2}$ in the former and $\bar 1\otimes
x^{-2}$ in the latter case.

If for example $\lambda=-7$ we compute a $b$-function of $s(s-6)$
indicating that $M\otimes_RR_x$ is generated by $\bar 1\otimes
x^{-8}$. Since in this case $M=R$ generated by $x^7$, we conclude that
$M\otimes _RR_f$ is in fact generated by $x^{-8}\cdot x^7=1/x$, as it should.

If on the other hand $\lambda=1/2$ then $b(s)=s(s+3/2)$ and hence the
largest integer root is 0. Thus, $M$ is generated by the germ of
$x^{-\lambda}$ and $M\otimes _RR_x$ is generated by
$v^0$ corresponding to $1/x^{2+\lambda}$. $M$ is
already isomorphic to $M\otimes_RR_x$.
\end{ex}
\begin{ex}
In this example we consider the left ideal $J$ generated by
\begin{eqnarray*}
\partial_x(x^2-y^3),\\
\partial_y(x^2-y^3).
\end{eqnarray*}
These are annihilators of the function $1/f$,
where $f=x^2-y^3$,
but they do not generate the annihilating ideal (see, e.g., \cite{Oa2}).
The left ideal $J$ is not holonomic since the characteristic
variety of $J$ is
$V(x^3-y^2) \cup V(\xi_x,\xi_y)$,
whose first component has dimension $3$ in ${\mathbb C}^4 =\{(x,y; \xi_x,\xi_y)\}$.
As to an algorithmic method to get the characteristic variety,
see \cite{Oa0}.
We give now the output of a
computer session using the computer algebra system Kan/sm1 (\cite{T2})
interspersed with comments. We
remark that in this case
$M$ restricted to $U$ is an ${\mathcal O}_U$-coherent free module of
rank one where $U={\mathbb C}^2\setminus \operatorname{V}(f)$.
\begin{verbatim}
 /ff
   [ ((x^2-y^3)*(Dx - v^2*2*x*Dt) + 2*x)
     ((x^2-y^3)*(Dy + v^2*3*y^2*Dt) -3*y^2)
     (v*(x^2-y^3)-1)
   ]
 def
\end{verbatim}
(this is $\phi(J)$)
\begin{verbatim}

 sm1>ff [(v)] intbfm ::
 [    $216*s^4+1296*s^3+2586*s^2+1716*s$ ]
 [[6,1],[s+2,1],[6*s+11,1],[6*s+13,1],[s,1]]
\end{verbatim}
(these are the factors of the $b$-function)
\begin{verbatim}
 sm1>ff [(v)] -2 0 1 intall_s ;
 Completed.
\end{verbatim}
(computing the integration)
\begin{verbatim}
  0-th cohomology:  [    1 ,
    [    -3*x*Dx-2*y*Dy-18 ,
         3*y^2*Dx+2*x*Dy ,
         -2*y^3*Dy+2*x^2*Dy-18*y^2 ]  ]
 -1-th cohomology:  [    0 , [   ]  ]
\end{verbatim}
The integration $\int_jj^{-1}M$ is not ${\mathcal O}_X$-coherent, although of
course it is still coherent over the sheaf of differential operators
${\mathcal D}_X$ on $X={\mathbb C}^2$.
Since localization is an exact functor, the first cohomology group
(corresponding to the first higher order integration) was known to be
zero.
The 0-th cohomology above coincides with the annihilating ideal of
the function $f^{-3}$.
\end{ex}
\begin{ex}
Let $n=3$, and
consider the ideal $J$ generated by the system
\begin{eqnarray*}
(x^3-y^2z^2)^2\partial_x&+&3x^2,\\
(x^3-y^2z^2)^2\partial_y&-&2yz^2,\\
(x^3-y^2z^2)^2\partial_z&-&2y^2z.
\end{eqnarray*}
These operators are annihilators of the exponential function
$e^{1/f}$ where $f(x,y,z)=x^3-y^2z^2$.
The characteristic variety of $M=D/J$
has six components, defined by the prime ideals $(y,x)$, $(z,x)$,
$(\xi_x,\xi_y,\xi_z)$, $(\xi_y,z,x)$, $(\xi_z,y,x)$ and the ideal
generated by
\begin{eqnarray*}
y\xi_y-z\xi_z, & 2x\xi_x+3z\xi_z , & 8z\xi_x^3+27\xi_y^2\xi_z,\\
8y\xi_x^3+27\xi_y\xi_z^2 ,&
 -4z^2\xi_x^2+9x\xi_y^2, & -4yz\xi_x^2+9x\xi_y\xi_z ,\\
-4y^2\xi_x^2+9x\xi_z^2, & 2z^3\xi_x\xi_z+3x^2\xi_y^2 ,&
2yz^2\xi_x+3x^2\xi_y,\\
2y^2z\xi_x +3x^2\xi_z ,&
-yz^3\xi_z+x^3\xi_y,& -y^2z^2+x^3,\\
 &  x^3\xi_y^2-z^4\xi_z^2.
\end{eqnarray*}
All but
the first two are of dimension three. This implies that the
non-holonomic locus of $M$ is contained in the hypersurface
$x=0$.
Here, we used \cite{Asir} to obtain the primary ideal decomposition.

Hence we may apply our algorithm to compute $M\otimes_RR_x$. We remark
that contrary to the previous example in this case $j^{-1}M$ is
holonomic but not
coherent as ${\cal O}_U$-module on $U=X\setminus \operatorname{V}(x)$. Using Kan/sm1
again one obtains the eight operators
\begin{eqnarray*}
&&  -3 y \partial_y+3 z \partial_z, \
  -2 x y z^2 \partial_x-3 x^3 \partial_y-4 y z^2, \
  -2 x y^2 z \partial_x-3 x^3 \partial_z-4 y^2 z, \  \\
&&
  6 x z^3 \partial_x \partial_z+9 x^3 \partial_y^2+6 x z^2 \partial_x+6 y z^2 \partial_y+6 z^3 \partial_z
    +12 z^2, \  \\
&&  -6 y^2 z^3 \partial_z+4 x^4 \partial_x+12 x^3 z \partial_z+8 x^3+12, \   \\
&&  6 y z^4 \partial_z^2-4 x^4 \partial_x \partial_y-12 x^3 z \partial_y \partial_z+18 y z^3 \partial_z
    -8 x^3 \partial_y-12 \partial_y, \  \\
&&  8 x^5 \partial_x^2+24 x^4 z \partial_x \partial_z+18 x^3 z^2 \partial_z^2+64 x^4 \partial_x
    +102 x^3 z \partial_z+80 x^3+24 x \partial_x+48, \   \\
&&  -6 z^5 \partial_z^3+4 x^4 \partial_x \partial_y^2+12 x^3 z \partial_y^2 \partial_z-36 z^4 \partial_z^2
    +8 x^3 \partial_y^2-36 z^3 \partial_z+12 \partial_y^2
\end{eqnarray*}
which annihilate the function $x^{-2} e^{1/f}$.
The characteristic variety of this holonomic
left ideal of $D$ has the same last
four components as the characteristic variety of $M$ while the first
two components (of dimension 4) are replaced by $(\xi_z , \xi_y , x)$ and
  $(z , y , x)$ (of dimension 3).

\end{ex}

\bigbreak
{\em Acknowledgement}:
This paper was written while the authors attended the special program
``Symbolic computations in geometry and analysis'' at the Mathematical Sciences
Research Institute.
The authors deeply appreciate the efforts of the organizers for
creating  an opportunity
of studying together intensively.

redpajama_set_name: RedPajamaArXiv


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I am interested in morphology, syntax (mainly), and semantics. I am interested in linguistic analyses, in formalisms that can be used to describe them, and in processing models . Much of my work (including my thesis on German syntax) is presented in the framework of Tree Adjoining Grammar (TAG), or at least is heavily influenced by TAG. TAG was developed by Aravind Joshi starting in the 1980s. One of the many interesting properties of TAG is that it bridges phrase structure and dependency representations of syntax.
I have worked on both natural language generation and natural language understanding.
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