Description: The building faces north and is a twenty-eight story cream colored limestone and glass structure. The base of the building is five stories with the east and west sections extending from the main building. Above rises a central tower for ten stories with another five stories at the top. The entrance is recessed and there is decorative work on the stone.
Note: The first courthouse was an unfinished five-story hotel at Second and Main purchased for $20,000. The building was completed in 1872 at a cost of $90,000 and the architect was A B Cross and the contractor was W B Everhart was contractor. A tornado seriously damaged the building in 1886. The next courthouse was designed by Leo Canman ( or Canmann ) and was constructed in 1892 at a cost of $500,000. The present courthouse was constructed at a cost of $2,145,000.
Description: The building faces south and is a three story red colored brick and stone structure. The south and north sides have large porticoes with four columns rising to a pediment at the roof line. The east and west wings are lower in height. On the center of the roof is a high square white colored clock tower with open cupola at the top. The cupola was added in 1846. In 1852, the building was enlarged and completed in 1853. The architect was Jacob C Hovey and John McCoy and the contractor was Leonard and Stewart. In 1872, a new east wing with tall clock tower was added and the exterior was covered with red brick. In 1887, a west annex was added. In 1905, major renovations commenced and were completed in 1907. The architect was William E Brown and the contractor was Chris Yetter. In 1932, the last major remodeling was commenced and completed in 1933. The architect was David Frederick Wallace of Keene and Simpson of Kansas City and the contractor was Weeks Construction Company.
Note: The first courthouse was built by Daniel P Lewis under the supervision of Lilburn W Boggs in 1828 as a temporary courthouse at a cost of $150. The second courthouse was designed by Lilburn W Boggs and was built by James King in 1828 to 1831 at a cost of $1,900. The cost of construction of the present courthouse was $5,000.


Hey, as most of you probably know, I have an Etsy shop!
It is super fun and really exciting when I get an order! When I got my first order, I was so excited that I was running in circles and shouting hurray!
One, a petite, beautiful gold tone necklace – it's small and perfect for a gift. You can get one for your doll, too!
Two, silver tone cross earrings – they are perfect for showing off your faith.
I can't wait to fulfill your order too!
If you have any questions or comments, please leave them below. If your questions are about my items, please message me using Etsy or ask below.


text:
Godfred Karikari – ex calciatore ghanese naturalizzato hongkonghese, attaccante
 Kofi Karikari – ottavo re degli Ashanti dal 1867 al 1874
 Kwaku Karikari – calciatore ghanese
 Kwame Karikari – calciatore ghanese, attaccante
 Ohene Karikari – velocista ghanese

redpajama_set_name: RedPajamaWikipedia


text:
Fishing Industry News
Daily Times Carrier Route Opportunities
Gloucester, MA (01930)
Generally clear. Low 27F. Winds SW at 5 to 10 mph..
Generally clear. Low 27F. Winds SW at 5 to 10 mph.
Newspaper of the Year | Serving Cape Ann
PAUL BILODEAU/Staff file photo. A family takes a lunch break off of Wheeler's Point on a sandbar next to the Annisquam River earlier this month. The river channel will be dredged; work could begin as soon as Nov. 10.
'Squam dredging to begin in 2 weeks
River's northern stretch a priority to allow emergency boats to navigate
By Sean Horgan Staff Writer
The long-sought dredging of portions of the Annisquam River to allow vessels to safely navigate the full channel is set to begin this fall — possibly as soon as the first two weeks in November, according to the Army Corps of Engineers and city officials.
The Army Corps of Engineers, which is managing the work, on Wednesday said the $7.85 million contract to remove 140,000 cubic yards of sand to eliminate natural obstructions such as shoals was awarded to Coastline Consulting and Development of Branford, Connecticut, on Oct. 10.
In an email, Tim Dugan, spokesman for the Army Corps of Engineers' New England District, said the dredging will commence this fall and take a total of five to six months over two dredging fall-winter seasons. Under that timeline, the projected completion date is Feb. 15, 2021.
"The project consists of maintenance dredging of approximately 140,000 cubic yards of sand to remove shoals from the channel, and part of the Lobster Cove anchorage, with placement of the dredged material at the Ipswich Bay Nearshore Disposal Site and the Gloucester Historic Disposal Site," Dugan wrote.
Jim Destino, Gloucester's chief administrative officer, was more specific on the work timeline. Destino said the city expects the contractor to be on site around Nov. 10.
"We have to give special thanks to Gov. (Charlie) Baker and Lt. Gov. (Karyn) Polito for all that they did to help us keep the project on track," Destino said. "We also want to thank our congressional delegation, particularly Rep. Seth Moulton."
Destino said city Harbormaster T.J. Ciarametaro and the Coast Guard have identified priority areas in the northern stretch of the river that will be dredged first, returning them to safe navigable depths to alleviate public safety and marine-response concerns.
Ciarametaro and other city officials have pointed out that portions of the river north of the MBTA Commuter Rail bridge and parts of the Lobster Cove anchorage have become so shallow that they cannot accommodate larger emergency vessels from the city and Coast Guard.
"We've already removed about 95 percent of the moorings that need to be moved and the remainder should be removed by the end of this week," Destino said.
Portions of the Annisquam were last dredged in 1976 and the city worked for more than seven years to secure approval and funding from the Army Corps of Engineers for the the current project.
Last June, Moulton's office announced the Gloucester project was included in the Army Corps' 2018 work plan, along with a $6 million grant to pay for it.
City officials were jubilant and remained so even after concerns over impacts on the commercial lobster industry and the winter flounder habitat during the late autumn and early winter pushed the dredging schedule over two seasons.
Then came the crusher.
The Army Corps on Aug. 2 opened two bids for the contract — from Coastline Consulting and Salem-based Burnham Associates — and both were exponentially higher than the Army Corps of Engineers's estimate of just over $6 million.
Burnham's bid of $13,688,500 was more than double the Army Corps's estimate. Coastline's bid of $11,404,525 also provided a measure of sticker shock.
Suddenly, the city was scrambling to find an additional $2.4 million that at least would fund the essential maintenance dredging and allow the project to commence this fall.
City officials, with the assistance of the Baker administration and state Senate Minority Leader Bruce Tarr of Gloucester, put the full-court press on the state to determine whether it could close the shortfall. It also enlisted the aid of its congressional delegation, with Moulton doing much of the heavy lifting in dealing with the Army Corps.
Salvation finally arrived in early October in the form of a $2 million grant from the state and additional funds from the federal government that allowed the Army Corps to once again greenlight the project.
Contact Sean Horgan at 978-675-2714, or shorgan@gloucestertimes.com. Follow him on Twitter at @SeanGDT
Army Corps
Jim Destino
Harbormaster T.j. Ciarametaro
Tim Dugan
Gloucester - Stephen D. Muniz ...
Panama City Beach, FL - In the...
Gloucester - Marie Celia (Zarr...
Gloucester - Grace N. (Brooks)...
Gloucester - Phyllis M. Holmes...
Gloucester - Phyllis M. Holmes, 90, of Gloucester, formerly of Hamilton and Rockport, passed away on Thursday, January 16, 2020, at the Seacoast Nursing and Rehabilitation Center. She was born in Beverly, Mass., on April 11, 1929, daughter of the late Lester B. and Eleanor B. (Tillson) Holme…
Demolition of Cameron's underway
Cocaine, Ecstasy, $1,887 seized; couple arrested
UPDATE: Police/Fire: Police/Fire Cocaine, Ecstasy, $1,887 seized; couple arrested
A little late for Rodgers to finally get it
Permits OK'd for Magnolia project
Destino leaving job in April
Get your Gloucesteropoly
Parking bans in effect in Cape Ann towns
Column: It's time to let stripers be
North Shore Community College faculty takes vote of 'no confidence' in administration
gloucestertimes.com
36 Whittemore St.
Gloucester, MA 01930
Email: gdtnews@gloucestertimes.com
© Copyright 2020 Gloucester Daily Times, 36 Whittemore St. Gloucester, MA | Terms of Use | Privacy Policy

redpajama_set_name: RedPajamaCommonCrawl


text:
Q: Question about the validity of Michael Grossman, Robert Katz and Jane Grossman Non-Newtonian / Meta / Multiplicative Calculus I am no mathematician by far, but I have studied diff. and integral calc and beyond, in my undergrad years.  I recently came upon this book:
"The First Systems of Weighted Differential and Integral Calculus"
https://play.google.com/books/reader?id=mS8g4XfaOEUC&printsec=frontcover&pg=GBS.PA45#v=onepage&q=%22Non-Newtonian%20Calculus%22&f=false
which belongs to this subject:
https://en.wikipedia.org/wiki/Multiplicative_calculus
Looks like there are only a few players here, almost like a family business.
I have never seen a math book that introduces so many new symbols and refers to itself as meta-calculus.  Which also sounds like it would have a similar scientific significance as Meta-physics.
Can someone validate this to be an authentic and legitimate field of mathematics, or is this some bogus wanna be calculus?
Here is a random snippet (albeit taken out of context), that looks nonsensical in detail and as a whole.  Does this make sense to anyone?

A: I recommend searching for critiques of this material.  I remember a pamphlet on this back in the 80's;  if it is the same subject, it is likely a published critique exists and is indexed on the Internet.
Based on the snippet, it resembles some mathematics I have seen published under a yellow cover.  I am loath to dismiss it as nonsensical.
Gerhard "Yellow Journalism Comparison Not Intended" Paseman, 2017.09.19.

redpajama_set_name: RedPajamaStackExchange


A Sasakwa man was killed Thursday afternoon in a Seminole County crash.
The Oklahoma Highway Patrol said the accident occurred about 2:33 p.m. on County Road NS 364, about two miles south of Sasakwa.
Jeremy D. Lena, 21, died at the scene from massive injuries, the OHP reported.
He was driving a 1997 Mitsubishi southbound on the county road when the vehicle ran off the roadway, went into a broadslide and struck an embankment, the report shows.
From there, the vehicle overturned three times before it struck a tree and rolled one-half time, landing on its top.
Lena, along with passenger Shane Thomas, 19, Sasakwa, were both ejected, the patrol said.
Thomas refused medical treatment at the scene.
Cause of the collision was listed as being alcohol-related, with driver's condition listed as drinking/ability impaired, the report shows.
Seat belts were not in use, the OHP said.
Trooper Scott Aldridge of the Seminole County detachment investigated the crash.


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AP EXPLAINS: How one computer forecast model botched Ian
As Hurricane Ian bore down on Florida, normally reliable computer forecast models couldn't agree on where the killer storm would land. But government meteorologists are now figuring out what went wrong—and right.
Much of the forecasting variation seems to be rooted in cool Canadian air that had weakened a batch of sunny weather over the East Coast. That weakening would allow Ian to turn eastward to Southwest Florida instead of north and west to the Panhandle hundreds of miles away.
The major American computer forecast model — one of several used by forecasters — missed that and the error was "critical," a National Oceanic and Atmospheric Administration postmortem of computer forecast models determined Thursday.
"It's pretty clear that error is very consequential," said former NOAA chief scientist Ryan Maue, now a private meteorologist who wasn't part of NOAA's postmortem.
Still, meteorologists didn't miss overall with their official Hurricane Ian forecast. Ian's eventual southwestern Florida landfall was always within the "cone of uncertainty" of the National Hurricane Center's forecast track, although at times it was on the farthest edge.
But it wasn't that simple. Computer forecast models, which weeks earlier had agreed on where Hurricane Fiona was going, were hundreds of miles apart as Ian chugged through the Caribbean.
The normally reliable American computer model, which had performed better than any other model in 2021 and was doing well earlier in the year, kept forecasting a Florida Panhandle landfall while the European model — long a favorite of many meteorologists — and the British simulation were pointing to Tampa or farther south.
Trying to avoid what meteorologists call the dreaded "windshield wiper effect" of dramatic hurricane path shifts, the official NOAA forecast stayed somewhere in between. Tampa — with lots of people and land vulnerable to gigantic storm surges — seemed to be the center of possible landfalls, or even worse just south of the eye so it would get the biggest surge.
Although people's fears focused on Tampa, Ian didn't.
The storm made landfall 89 miles (143 kilometers) to the south in Cayo Costa. For a large storm, that's not a big difference and is within the 100-mile (161-kilometer) error bar NOAA sets. But because Tampa was north of the nasty right-side of the hurricane eye, it was spared the biggest storm surge and rainfall.
People wondered why the worst didn't happen. There are meteorological, computer and communications reasons.
Overall, the European computer model performed best, the British one had the closest eventual Florida landfall but was too slow in timing and the American model had the highest errors when it came to track, NOAA's Alicia Bentley said during the agency's postmortem. But the American model was the best at getting Ian's strength right, she said.
University of Albany meteorology professor Brian Tang said he calculated the American model's average track error during Ian at 325 miles (520 kilometers) five-days out, while the European model was closer to 220 miles (350 kilometers).
"A lot of what we notice in the public is when there are big misses and those big misses affect people in populated areas," Tang said in an interview.
Although this is technically not a miss, people who evacuated Tampa may think it is because the Fort Myers area got the brunt of the storm.
In some ways people are spoiled because the average track error in hurricane forecasts have gotten so much better. The three-day official forecast error was cut nearly in half over the last 10 years from 172 miles (278 kilometers) to 92 miles (148 kilometers), Tang said.
For years meteorologists touted the European model as better, because it uses more observations, is more complex but also takes longer to run and comes out later than the American one, Tang said. The American model has improved after a big boost of NOAA spending, but so has the European one, he added.
The models use a similar physics formula to simulate what happens in the atmosphere. They usually rely on the same observations, more or less. But where they differ is how all those observations are put into the computer models, what kind of uncertainties are added and the timing of when the simulation starts, said University of Miami's Brian McNoldy.
"You are guaranteed to end up differently," McNoldy said.
It's not a problem if the models show similar tracks. But if they are widely different, as during Ian, "that makes you nervous," he said.
People wrongly focus on funnel-like cone for where the hurricane is forecast to go instead of what it will do in specific locations, said MIT meteorology professor Kerry Emanuel. And in the cone people only pay attention to the middle line not the broader picture, so Emanuel and McNoldy want the line dropped.
Another problem meteorologists say is that the cone is only where the storm is supposed to be with a 100-mile (161-kilometer) radius error, but when storms are big like Ian, their impacts of rain, surge and high wind will easily hit outside the cone.
"The cone was never intended to convey the actual impacts. It was only intended to convey the tracks," said Gina Eosco, who heads a NOAA social science program that tries to improve storm communications.
So for the first time, NOAA surveyed Florida, Georgia and South Carolina residents before Ian hit and will follow up after to see what risks the public perceived from the media and government information. That will help the agency decide if it has to change its warning messaging, Eosco said.
accidents and disastersClimateclimate and environmentgeneralnewsHurricane FionaHurricane IanHurricanesNational Oceanic and Atmospheric AdministrationNatural disastersSciencestormstropical cycloneUnited States governmentWeather


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A Biography of George Washington - Part I
1. George William Washington was born in 1732, the son of iron furnace and farm owner Augustine Washington. He had two half brothers, Lawrence and Austin, from Augustine's first marriage. He did not meet them until they returned from school in England; George was six when he first was introduced to Lawrence. George's mother, Mary Ball Washington, was overcautious and controlling, often at odds with her son's drive for adventure. When Lawrence returned from his schooling in England, he was given Epsewasson farm to manage, and George and his younger siblings relocated to Ferry Farm, a short distance away.
Ferry Farm
(Library of Congress, Public Domain)
2. George's father died when George was only 11 years old. Traditionally, a man's entire estate was left to the eldest son, but Augustine divided his holdings amongst his older sons, with each receiving a farm. George's brother Lawerence inherited Epsewasson farm (now called Mount Vernon), Austin Washington inherited Wakefield, and George inherited Ferry Farm. However, because George was still a minor, his mother was given control of the estate for the next ten years. She not only controlled the farm, but George as well, forbidding him to go to England to be educated as his brothers were and insisting George assume his father's role of "man of the house" to his five younger siblings immediately. Lawrence and his new wife, Anne would often find excuses for George to visit them so he could escape the adult responsibilities and have time to be a child again.
Major George Washington
Charles Willson Peale [Public domain]
3. In September of 1751, George and his brother Lawrence set sail to the Caribbean. Lawrence was suffering from early-stage tuberculosis, and his doctors thought Virginia's cold, damp winter climate would cause the disease to progress quickly. Going to a warmer climate was necessary if he was to have any chance of getting better. Lawrence and Anne had been married for five years. They had three children who had all died in infancy. Anne had just given birth to their fourth child, Sarah, and was terrified of the diseases of the tropics that could take Sarah, too. George volunteered to go with Lawrence when it was clear he was too ill to travel alone. After two weeks in the Bridgetown, Barbados, George came down with smallpox. The doctors could do little more than give him quinine and try to keep him comfortable. After twelve days, the fever broke and the hallucinations stopped, and George began to heal. However, Lawrence's condition continued to deteriorate, and he wanted George to return to Virginia to care for Anne and Sarah. George went back in December 1751, with a dying Lawrence following in June 1752. He died on July 26, 1752, leaving a convoluted will that eventually left Mount Vernon to George after the women's deaths.
4. George Washington was appointed an adjunct of the Virginia Colony. The new Major Washington was ferrying messages to Fort le Boeuf, a French outpost in the Ohio Valley during the French and Indian War. He and his translator, Christopher Gist were betrayed by their Native American guide. Most of the Natives sided with the French; only the Iroquois were consistently allies to the British. Though he was not one of the Iroquois, they thought they could trust this friendly man to be their guide. As they were traveling, the guide shot at Gist, narrowly missing him. Gist and Washington disarmed the Native. Although Gist wanted to kill him outright, Washington convinced Gist to let the man go, telling him to head north and if they saw him again, they would kill him. They did not trust that he would not return, so instead of much needed rest, Gist and Washington continued on walking for a full twenty-four hours.
5. Major Washington was part of General Braddock's army that charged at Fort Duquesne. However, before they could reach the French fort, the battalion was ambushed by guerilla Indians. General Braddock made a terrible situation worse by ignoring Major Washington's suggestion that they retreat to the woods and fight in the same manner. Braddock demanded his men return to a marching formation. The French came from the fort and entered the battle. Between their bright red coats and their open position, Braddock's forces were easily decimated by the French and Indians hiding in the woodland canopy. Out of the 1,373 British soldiers who entered the battle, 914 were killed or wounded, including General Braddock. Washington himself barely missed being killed; his horse was shot out from under him, and he counted four bullet holes in his coat and a fifth in his hat. For his bravery, Governor Dinwiddie promoted Major Washington to Colonel Washington, despite the King's ban on promoting colonials to the rank.
A Biography of George Washington: Part II can be found here.
Part III of A Biography of George Washington can be found http://www.adventureswithjude.com/2013/09/a-biography-of-george-washington-part-ii.html
Labels: George and Martha Washington, George Washington, Lukes American Adventures, presidents, us history
bettynz September 21, 2013 at 6:19 PM
What a great deal of well-written information, Luke! I learned a lot :)


Two new laws that significantly amend the regulations and requirements for obtaining an Illinois driver's license after a DUI conviction became effective last month. House Bill 3533 now makes the use of an ignition interlock device mandatory for individuals who have been convicted of two or more DUIs and who have been granted a temporary license. House Bill 1446 allows those with a record of four or more DUIs to apply for a restricted permit under certain circumstances.
Although theft is a common catch-all term, some states have separate laws for theft and larceny. Illinois is not one of those states. Both theft and larceny are defined in Illinois as offenses against property. The state uses the phrase "anything of value" to define exactly what property means. In Illinois, more than 290,000 property crimes occur every year.
Illinois has several different laws that relate to stalking, and in Illinois, stalking and cyberstalking are both crimes. Moreover, it does not take much contact before an individual can be convicted of a stalking crime.


EstelleJohnson DONOVANHOT jasmin. AleksaPrincess. ULoveName. PrettyMharrie.
bustyambraxxxZoSoBaddAmberExoticJesseAndAshley .NikitaLoverKorrineOneTruePassionmalefsex .JAM4UASSPLAYERxDominiqueDreamTheDangerDuo .BobbySoleAmberExoticJAM4UPennyGreyX .ADAMFFOXSabinaHotDolladdictdirtygame1Korrine .MadisonXRayMayaKissesBlondedick93latyndollts1 .69sexyboy4uMayaKissesAmberExoticjumperboy .karlaGIMbornTOlOVEyouMadinaBrownEyenonamejustplayLJ .addictdirtygame1lolibollyLeluuULoveName .DylannhottToyboyLonlyThomasBoyLAmrhungwell72 .lolibollyASIANcumLOUDERFoxyroxyxxlatyndollts1 .
lolibollyPrettyMharrielolibollyASIANcumLOUDER .LeluuLeonaRivasJesseAndAshleySexyStarCpl .DylannhottASSPLAYERxSilverSpriteMs9inchBigcums03 .LeluuADAMFFOXAleksaPrincessSerennaDream .mrhungwell72SoniaCrystalRichardBladeseekreuzer .alexboysweetDominiqueDreamASSPLAYERxmrhungwell72 .CindyLiArykaCurlyCplpepperbrisahot4u .NikitaLoveraddictdirtygame1HealingtheworldPlayfulZANE .ToyboyLonlylisandcristalOutstandingBoyTheDangerDuo .TeriPhanyessimarhotmrhungwell72PerfectSlave36 .karlaGJesseAndAshleyAgajanshidaRichardBlade .


What an incredible year we've had, with an amazing Perth Games Festival, Playup Perth turning 3 and testing 100+ games. It's also The Nostalgia Box's first birthday! It's definitely time to celebrate, so along with our friends at Let's Make Games and The Nostalgia Box we're hosting an special end of year Playup Perth.
So come play some WA made games in development and help us celebrate all of our wins this year. Festive cosplay encouraged!
Run over zombies, get supplies, repeat. How far can you get? Endless driving game for mobiles.
Dive into the post-apocalyptic world of the DriverZ trying to make your way through beat up streets, threading through wreckages, running over zombies, and pillaging old warehouses and general stores trying to upgrade your vehicles and recruit more peope for your group of survivors!
"Burn", a new car combat game from DrewFX is coming your way. Strap in, prime those missiles, light the flamer and fill that tank. Burn rubber!
BrambleLash is a spritely multiplayer co-op game with tactical team-and-swap action. Enchanted sprites work together to defeat slimy invaders in a whimsical setting full of glimmering shadows. Connect, cooperate or betray to win!
Race on hover bikes in the desert, because what else are you going to do?
Vault eSports' first product is a player vs player real money basketball game. Players sign up and play basketball free-throw matches against family, friends or other platform players for real money. Players need to score more goals than their opponent in 60 seconds to win.
A mini-board game with cards and dinky tokens, pitting 3 children against a marauding troll.
The world is under attack by a series over very powerful enemies that have defeated the world's top air forces. The United Nations and governments are turning to a small group of Rogue Captains piloting experimental fighter planes to try to win the day. Players take on the roles or these Rogue Captains and their warplanes being sent on near impossible missions to defeat these nemeses and save the world.
At the beginning of the game, Rituals are pulled from the Ritual deck equal to the total number of players plus one. These have requirements written on them. When the Exorcists meet the requirements of a Ritual, it is resolved. When all are resolved, the Demon is cast back into the darkness from whence it came and the Exorcists win.
Wanna test your game at the next event? Drop a line to kate@fti.asn.au or tweet @oceanpark.


text:
Apistogramma elizabethae är en fiskart som beskrevs av Kullander, 1980. Apistogramma elizabethae ingår i släktet Apistogramma och familjen Cichlidae. Inga underarter finns listade i Catalogue of Life.

Källor

Abborrartade fiskar
elizabethae


text:
Conexus Expands Board, Names New Chair
Monday, January 7, 2019 6:06 PM EST
Denny Oklak will serve as board chairperson for Conexus Indiana.
Conexus Indiana has added four members to its board of directors, bringing its total of statewide members to 15. The state's advanced manufacturing and logistics initiative has also selected Denny Oklak as its new board chairperson.
Oklak is the former chief executive officer of Indianapolis-based Duke Realty Corp. (NYSE: DRE), a role he held for nearly 12 years until his retirement in December 2015. He has also previously served as chairman of the Central Indiana Corporate Partnership Board of Directors.
Conexus says, in his new role, Oklak will steer the organization's work following a strategic planning process held last year.
The new board members for Conexus include:
Andrew Baker - Vice President for Government Relations at Rolls-Royce in Indianapolis
Elaine Bedel - President of the Indiana Economic Development Corp.
Scott Brand - Senior Vice President at Subaru of Indiana Automotive in Lafayette
Kim Ryan - Senior Vice President at Hillenbrand Inc. (NYSE: HI) in Batesville
"Conexus Indiana gains insight and direction from industry leaders who are on the front line everyday creating jobs, globally significant products and navigating economic pressures," said Mark Howell, CEO of Conexus. "With the addition of Denny, Andrew, Elaine, Scott and Kim to our board, we gain additional perspective from their careers and community involvement, all of which makes our work increasingly impactful for continued statewide industry success."


text:
St. George Spectrum to halt Saturday print, add e-Edition access to USA Today, other papers
Responding to continued rapid shifts toward digital news consumption, The Spectrum is announcing a change in print delivery frequency beginning March 26.
The Spectrum will cease home delivery on Saturdays, providing subscribers instead with a full digital replica of the newspaper that day, filled with local news, advertising and features such as comics and puzzles. The new model means subscribers will get newspapers delivered to their home six days a week, with a digital newspaper available every day.
At the same time, subscribers will gain access to the USA TODAY Network's full suite of e-Editions across the country, as well as ad-free access to the USA TODAY Crossword puzzle. The Spectrum is part of the USA TODAY Network, and the change being announced today also is taking place at numerous other publications in the network.
"We remain committed to local news and to providing the kind of smart, community-based reporting that is so important to our readers, but we also recognize that readers are shifting more and more toward digital platforms to receive their news," said David DeMille, the editor at The Spectrum. "What used to be a daily newspaper now exists as a digital site, mobile app, social media presence and more. The print newspaper remains a vital part of how we get our news to readers, but we need to make this change in response to subscriber and advertising trends."
The Saturday digital replica, or e-Edition, will have the same look and news as the printed newspaper. The digital format also has some additional features, such as the ability to clip and share articles with friends and family and adjust the text size.
All print subscribers of The Spectrum automatically have full digital access, meaning they can read news updates throughout the day and have full access to subscriber-only stories and video and audio features, among other benefits. Subscribers also have 24/7 access to obituaries, legal notices, and classifieds on our website.
The news and sales staffing at The Spectrum will not change because of this. However, those staffs will be even better aligned toward digital news delivery.
Delivery times for the other days of the week will remain unchanged.
"The business model continues to change, but we will continue making decisions that keep our loyal subscribers at the forefront," DeMille said. "The symbolism of Utah's last daily newspaper losing it's 'daily' status isn't lost on me, but I firmly believe this step is in line with readers' changing habits and better positions us to do our best work."
Anyone with questions about the change can access their account at www.TheSpectrum.com or call customer service at 1-800-748-5489.


text:
Kane Lambert
Tiger, Saint Hear the Siren
Submitted on Sat, 07/16/2022 - 6:34 PM EDT
by Lisa Albergo, reporting for AFANA from Chicago
Geary vs Gold Coast
Just ahead of Round 18, veteran St Kilda defender Jarryn Geary announced his immediate retirement. Kane Lambert joined him in retirement a week later. Geary was one of the last selections in the 2006 rookie draft and went on to play 207 games over 16 years and was appointed captain in 2017. His work ethic and determination saw him become one of the most selfless and respected players of the modern era. Geary, 34, has battled injury issues over the past two seasons, with an ongoing shoulder injury this season requiring a reconstruction soon. In 2019, he suffered a serious leg injury which required emergency surgery for compartment syndrome. He finishes his career as a life member and was named best clubman in 2016 and 2019.
Coach Brett Ratten said, "We would not be in the position we are today without Gears' leadership, honesty and courage ... It's always sad when one of your great warriors calls time, but you can't help but feel immense pride for everything Jarryn has achieved ... He's never backed down or thrown in the towel, he's always fought hard and put his body on the line for his teammates, and his bravery is rivalled by very few. Above all, Jarryn is fiercely loyal, both to his football club and those around him. He's led the club through some challenging times and pushed those around him to improve and bring a high standard consistently. As a leader, Jarryn has influenced so many people around him over his time. From the players, to the football department and the wider staff, we owe him a debt of gratitude for everything he has poured into this club, Jarryn has ... the entire club's respect for the way he has conducted himself throughout his career."
Terrific Tigers Tear Giants Apart
Submitted on Mon, 09/30/2019 - 12:59 AM EDT
by Boris Kilpatrick, reporting for AFANA from the MCG
The Jubilation of Victory
Richmond destroyed a hapless Greater Western Sydney Giants to win its 12th Premiership flag in style. The 89-point margin was a true reflection on the complete dominance the Tigers had over the Giants. A tight first quarter that promised a competitive match, but Richmond was having none of that. The fierce and determined Tigers took complete control after quarter time and strangled the Giants with the manic brand of football that has made Richmond the best team in the competition over the last three seasons.
The Giants had performed brilliantly to win two tight contests on the road, but when Richmond asked the question for the third time, Greater Western Sydney simply had nothing left to give. The Tigers were hungry for the contest, determined to avenge a 2018 season where they were the best team all season but fell short after going out in the Preliminary final.
Tigers Pounce To Maul Dockers
by Chris Kowald, reporting for AFANA from Optus Stadiun, Perth
Roaring Banner for Richmond
The Richmond Tigers sent a roar through Optus Stadium and to the rest of the competition when they tore apart the Fremantle Dockers on the Dockers' home turf. The Tigers entered the game without some key personnel and lost two players to injury before half time, but still destroyed the Dockers in the third term to run out convincing winners.
AFANA Finals Preview: Richmond vs Hawthorn
by Boris Kilpatrick, reporting for AFANA from Australia
Richmond Tigers vs Hawthorn Hawks (MCG)
State of Play:
This game has all the makings of an absolute classic. On one hand you have Richmond, the reigning premier coming into the game riding a 21-game winning streak at the MCG. On the other you have Hawthorn, the form team of the competition boasting a massive total of 265 games of finals experience (the Tigers have just 114).


The license number of Rick Paulson, plastic surgeon in Bismarck, North Dakota, is Board certified by American Board of Plastic Surgery. The doctor is a member of American Society of Plastic Surgeons.
The license number of Rick Becker, plastic surgeon in Bismarck, North Dakota, is 6735. Board certified by American Board of Plastic Surgery. The doctor is a member of American Society for Aesthetic Plastic Surgery (ASAPS).
The license number of Steven Yearsley, plastic surgeon in Bismarck, North Dakota, is 11062. Memberships: American Academy of Cosmetic Surgery, American Board of Plastic Surgery.
Breast augmentation in North Dakota can be done in most of plastic surgery centers. This procedure becomes very popular among women, whose breasts changed after pregnancy or due to the age. Saline and silicone implants give amazing results and make your breasts look even better than before. North Dakota is indicated as ND. This "Peace Garden State" has zip codes 58001 - 58581. This state has big territory and not dense population. This is a good place for family life. Breast augmentation cost in North Dakota varies from $4,000 to $15,000. Clients are offered credit plans and installments. The price of the procedure includes operating room cost, doctor's fee, implants cost and free consultations with your specialist.


No idea what Brazilian Jiu-Jitsu, Muay Thai, and Kickboxing are? They are only proven the world's most effective martial for folks who AREN'T natural athletes. Proper use of the human brain can allow a smaller, weaker person (such as a child) to ward-off much larger opponents safely and effectively. Parents love Brazilian Jiu-Jitsu (BJJ) because in addition to all the benefits children receive with training martial arts, BJJ teaches their kids to deal with potentially dangerous situations WITHOUT THE USE OF VIOLENCE! Parents love Muay Thai and Kickboxing because it teaches balance, coordination, and physical conditioning like no other martial art. With a curriculum focusing on positional control, escapes, and defensive counter movements, M3 Fight and Fitness will teach your child how to avoid and restrain as a first resort, rather than the barbaric and ineffective "gouge him in the eyes/kick him in the groin" approach that most traditional martial arts take. In Addition, M3 Fight and Fitness offers separate Wrestling and Judo classes and is a recognized charter club with both USA Wrestling and the US Judo Association. That means your child has the opportunity to not only learn these great arts, but to compete! Do you have a child that's shy or quiet? We'll give him or her a safe place to break out of that shell! Or is your child way too energetic? Our Youth Program will give your wild child a super positive outlet and focus for all that extra energy. Sign your child up for our FREE 8 Day Pass now and see how classes at M3 Fight and Fitness are changing lives and preparing our next generation to be their absolute best. We will be there every step of the way with your child on the journey… we are all one team! We proudly serve the following areas: La Crescenta, Pasadena, Burbank, Glendale, Altadena, La Canada Flintridge, Los Angeles, San Gabriel, San Fernando, North Hollywood, San Marino, Tujunga, South Pasadena!


There is nothing worse than the feeling of guilt after an angry outburst at the children. It takes a lot of patience to deal with the constant demands of little humans. Maintaining positivity at all times helps children grow up to be happy adults. Here are a few tips on how to stop being an angry mom.
Being alert and aware of things that can trigger anger helps a lot. Common things like being fatigued, hungry or even feeling lonely can lead to angry behaviour. If you try and control these physical and psychological facts, it would be very easy to control with anger.
Although planning a day and following the day with children is near to impossible, try it. Plan ahead about the things which will happen and how you will deal with it. Plan healthy lunches and a few snacks in between in order to keep the triggers under control. This will also prevent things from happening which are likely to set you off.
Ensure your own wellbeing. Becoming a mother often means letting go off things that you loved doing before. Make sure that if you like painting, take time out every day and paint. This is therapy itself and you will feel much more positive. Look after your diet, health and beauty. Go for walks and runs and shopping.
Constantly remind yourself that you are doing a great job! Keep feelings of despair at bay. Allow positivity to fill your mind and watch as it sends lights of hope and thankfulness to reach your entire body. You will feel much more relaxed and in return, your children will not see that angry mom.
In anger, we often say and do things that we do not mean. During an angry outburst, make sure that you control your words and actions. These times have a negative impact on the minds of the children. Ensure positivity at all times.


text:
Sustainable IT Experts - Beta Version
Institute for Sustainable IT
Why does ISIT propose this approach?
The Institute for Sustainable IT (ISIT) wishes to facilitate the search for qualified profiles in the field of sustainable IT for organisations wishing to be supported in their sustainable IT approach.
By proposing this directory, the ISIT wishes to encourage the development of ISIT service offers and stimulate the demand for such services, so that Sustainable IT is no longer an accessory role and becomes an integral part of any organisation, as are the other specialisations in the digital professions. By helping Sustainable IT experts to put forward their knowledge and experience in the various Sustainable IT fields, the aim is to create a link between these experts and organisations that are keen to engage in a Sustainable IT approach.
How will the directory of experts evolve in the future?
The directory of Sustainable IT experts is presented in beta version. The ISIT is testing the format of the directory and hopes to develop it further with all the feedback it will receive over the coming months.
Moreover, the ISIT, aware of the importance of sustainable design of digital services, particularly through eco-design and accessibility, wishes to do its utmost to optimise its services. This website is in beta version and will soon be optimised to be eco-designed and fully accessible.
Who can apply ?
A first call, made to a restricted circle of actors, in particular the members of the ISIT and the consultants of the Sustainable IT Label, made it possible to identify 30 initial profiles. The challenge was to test the application and evaluation methods and validate their relevance with a first circle of actors that we could call upon to provide their feedback.
In the context of the beta version of the directory, a second call for applications will be made shortly.
The European ISIT network, led by ISIT Switzerland in the framework of this project, has defined a process to validate the profile of each candidate and to determine their eligibility for inclusion in the Sustainable IT Experts Directory.
The evaluation of the application is based on objective criteria.
The application process is divided as follows:
Application via the form presented on this site (link "Apply" in the main menu). The form is composed of purely factual elements on the training and professional experience, and additional elements (letter of motivation, video, etc.) allowing a decision to be made on a profile when the level required to appear in the directory is potentially too low or when there is a gap between two levels.
A census of the documents and information provided, and semi-automatic evaluation via an evaluation grid allowing a pre-assignment of recognition levels. The grid gives an initial assessment of the level potentially achievable by the candidate. The fields of the evaluation grid correspond to the purely factual elements requested on the training courses followed and the professional experience.
Meeting of the Jury, which meets approximately once a quarter:
Overall review of the files to check the consistency of the pre-awards.
Specific review of the files of candidates eligible for the "Gold" level by the Jury.
About the gold level
Based on the result provided by the semi-automated grid and the manual review of the results produced by the grid, and accepting a 5% margin of error, each application whose result is in ballot towards the Gold level is audited by an independent jury composed of Sustainable IT experts. The aim is to determine as accurately as possible which profiles can claim this level of excellence.
What are the 3 levels (bronze, silver, gold)?
The European ISIT network has defined 3 levels of recognition: Bronze, Silver & Gold.
The Bronze level aims to recognise profiles that have acquired skills in IT sustainability and have developed the ability to support organisations. The challenge here is to facilitate access to the directory for people who have not yet acquired solid experience but who have developed strong expertise, particularly through the training they have received.
The Silver level values profiles that have acquired skills and experience in terms of supporting organisations in their IT Sustainability approach.
The Gold level values profiles that have acquired skills and have several significant experiences in terms of supporting organisations in their IT Sustainability approach.
Why is the directory moving towards a pay-per-application model?
The application process described above involves mobilising human resources within the ISIT to process these applications, check them, rank them, integrate them into the evaluation grid and then submit them to the jury.
The challenge is to establish the most objective means of evaluating applicants and not to automate the processing of applications. The ISIT network wishes to facilitate the link with the candidates in order to answer any questions, to avoid any error in the processing of applications and to be able to contact the candidate if there is a need for additional information on his/her application.
What are the limitations of the published directory?
INR France, ISIT Belgium and INR Switzerland (ISIT Europe) cannot guarantee the quality of the services provided by the Sustainable IT experts listed in the directory. The services provided and their quality are the sole responsibility of the Sustainable IT expert.
The contract between an Sustainable IT expert listed in the directory and an organisation is totally independent of ISIT Europe and does not commit ISIT Europe in any way.
The application documents studied in order to determine 1) whether the candidate can appear in the Directory of Sustainable IT experts and 2) the level of recognition (bronze, silver, gold) are the sole production of the candidates and are studied by ISIT Europe on the basis of the bona fides of these documents produced without any further verification with third parties.
If you have any suggestions or questions about the Sustainable IT Experts Directory, please contact us at experts [@] isit-europe.org.
This website is in beta version and will soon be optimised to be eco-designed and fully accessible. | legal policy (FR)


text:
The Broadcast(I Ekpompi)
Dir: Theo Angelopoulos
Greece, 1968, Greek, 21mins, DCP
Cast: Theodoros Katsadramis, Lina Triantafillou, Nikos Mastorakis
An experimental homage to the "free cinema" of the period, Angelopoulos' debut short film begins like a cinema vérité, and is also a subtly absurdist and subversive satire that slyly past the censors during the beginning of military dictatorship. Comprising long takes and sequence shots which prefigure his signature style, the story follows a group of television journalists wandering around Athens, asking passersby for their definition of the "ideal man". An ordinary man is randomly picked as the winner, whose ultimate award is no more than becoming a puppet in a media show. Screening with Reconstruction.
Thessaloniki Film Festival: Best Short Fiction Award
An Eternal Odyssey: The Complete Theo Angelopoulos


You're visiting Walt Disney World during my favorite time of year! It's not only because it's the holiday season and the parks and resorts are decorated beautifully; it's also the fact that the weather is perfect!
The average temperature during Christmas week runs a high of 72 degrees and a low of 54 degrees. It's perfect jeans and long sleeve t-shirt weather with an added sweatshirt or jacket at night. A little warning though...I've been to Disney in December (a kabillion times)...it has fallen into the low 30s at night. I am not a stranger to having to buy gloves, scarves and hats while I'm in a park (yeah, I know...the horror of getting cute Mickey stuff right?).
Thanks for visiting the Moms Panel, Julie. Have a pixie dusted vacation!


We bring together 100 hackers from diverse backgrounds and top universities around the UK over a weekend to connect, learn, explore blockchain/DLT tech and build amazing projects over 9-10th of March in Cambridge.
Whether you're new to coding or design or a seasoned hacker or you don't have coding skills at all, CBHACK is for everyone. All you need is a desire to collaborate with people of different backgrounds, be eager to learn, and a goal to make the world better a better place with the blockchain technology. We can't wait to see you at CBHACK!
A huge shoutout to our sponsors! Without your support, this event would have been impossible!
Register now for the chance to win up to 10k prizes and to learn from experts in the blockchain industry!
Click here to view the original document, which is much easier to read.
Established by University of Cambridge Trinity College, the Bradfield Center is a stunning co-working space located at the heart of the Cambridge Tech Cluster in the Cambridge Science Park.
Drop us an email if you have a question that is not listed here. We will reply you in no time!
A hackathon is an event where teams collaborate on a project or "hack" within a tight time limit. At CBHACK, teams of up to 4 collaborate over 24 hours to create a real product solving the existing world problem while learning more about blockchain technology and networking with like-minded participants. Industry professionals from our sponsors will share their experiences with you, and support and guide your projects from a technical perspective. The winners will be chosen by a panel of judges comprised of top industry professionals. So, attend our hackathon, assemble a team, build a groundbreaking product, learn and make new exciting connections, and finally win prizes!
The deadline is on 1st of March. However, you may still try applying after the deadline.
CBHACK is 100% free for all participants. Just apply and get your ticket!
Have no fear! Hackathons are for you to learn and in fact, it is one of the best ways to do so. On the first day of CBHACK, we will also facilitate team building so no one gets left out! We'll also have a workshop to prepare you for hacking. Even, if you can't code you can still help with research and help to figure out the idea. And when you run into any problems or questions, mentors will be happy to help you out. By the end of hack you will have new skills, friends, and a project under your belt!
Is there a theme for CBHACK?
The theme of the hackathon is "application of distributed ledger technology to solve real-world problems," with an emphasis on creating value by solving real-world problems. Also, there may be sponsored prizes with specific qualifying criteria.
Can I work on my previous project?
Yes! As long as you make it clear what you have completed during the hackathon.
Don't worry, we will help you! If you are traveling from outside of Cambridge, your traveling cost (up to £20) will be reimbursed. Upon arrival to the hackathon come to the registration desk, save your receipts and make sure to have a copy of them on-site. You will be receive money in the next 10 working day. If you arrive by car, you can drive straight to Bradfield Centre and park your car there. Keep an eye on our notifications.
ID: You'll need this to check in to the event.
Laptop: Desktops aren't great travel companions.
Headphones: With so many hackers in one building, it can get a bit loud, so bring headphones if you want to get some quiet time.
Sleeping bag, air mattress, and/or pillow: You will sleep overnight at Bradfield Centre, so you will need something to sleep on.
Reusable water bottle: If you have one, bring it and help to reduce on waste.
Founded by University of Cambridge students in 2018, our mission is fostering Cambridge's blockchain ecosystem by maintaining a distributed network for enthusiastic students, academics and industry partners.
BITMEET came together in 2017. We have a solid track of organizing collaborative events with universities such as Cambridge, Oxford, UCL, and LSE, and first ever student-led blockchain conference in the UK, THE BIG BITMEET.


text:
package org.consec.auditing.common.auditevent;

public class Initiator {

    private String id;
    private String type;
    private String oauthAccessToken;

    public Initiator() {
    }

    public Initiator(String id) {
        this.id = id;
    }

    public String getId() {
        return id;
    }

    public void setId(String id) {
        this.id = id;
    }

    public String getType() {
        return type;
    }

    public void setType(String type) {
        this.type = type;
    }

    public String getOauthAccessToken() {
        return oauthAccessToken;
    }

    public void setOauthAccessToken(String oauthAccessToken) {
        this.oauthAccessToken = oauthAccessToken;
    }
}

redpajama_set_name: RedPajamaGithub


Dull skin has became a global aging concern for women, and very often these issues are not that evident at their early stage. Causes of dull skin are like diminished cell turnover, free radical damage and dehydrated skin. Because of this, masques are often the savior for such problems. Nature inspired with ingredients like cranberry, turmeric and cilantro, these Kiehl's New Masques will give you a surprise with their excellent masking efficacies while smelling delicious and pleasant! Let's check out the new masques from Kiehl's today - Cilantro and Orange Extract Pollutant Defending Masque and Turmeric and Cranberry Seed Energizing Radiance Masque!
We were given a treat at Dempsey House featuring dishes that use ingredients related to those used in the new masques.
That's right, if you haven't know, Kiehl's has this culture of try before you buy. You can easily obtain 5 samples at any of their Kiehl's stores with any 5 mins consultation.
That night, main courses are Tumeric Snapper and Roast Chicken garnished with cilantro. Both were a delight to our tastebuds and we definitely enjoy a cozy setting like this.
Of course, let's get into the main topic shall we?
First we tested out the Turmeric and Cranberry Seed Energizing Radiance Masque. We applied a small amount of the masque on the back of my hands to do a patch test. Some people may experience a tingling effect at the beginning due to the Turmeric ingredient, which minimizes pores at the same time. The tingling effect isn't that strong nor overwhelming.
This Turmeric and Cranberry Seed Energizing Radiance Masque acts as an instant facial, to brighten and energize, while restoring healthy and rosy appearance. The key ingredients are turmeric and cranberry, as the name suggests. Turmeric, an ingredient from the ginger family is well known for skin brightening effect. Cranberry on the other hand is a very powerful antioxidant element which helps to remove dead skin cells.
Here's how the ingredients benefit your skin: 1. Turmeric extract has the capability to soothe, heal and detox the skin from damages and impurities. It can also treat skin imperfections and improve skin radiance! 2. Cranberry (one of my favourite fruit!) is very rich in anti-oxidants, and the crushed seeds inside helps to exfoliate, leaving you skin energised and renewed. Recommended: Cleanse your face, apply on mask and let it semi-dry. Wash off with circular motions as the Cranberry seeds act as an exfoliating agents. Suitable for all skin types! Review: While the tingling and heat sensation is stronger than the Cilantro and Orange Defending Masque, it is also much more refreshing!
The second masque introduced tackles more of pollution problems. Pollution not only affects our health, it also damages our skin. Cilantro and Orange Extract Pollutant Defending Masque is great to block damage, strengthen skin and increase skin's resistant against pollution. Other than a wash off masque, this can also be used as a leave on mask. Simply apply a thinner layer on your skin to treat it as a sleeping mask.
1. Fights skin damage using Orange Extracts, obtained from dried young fruit of the Citrus Aurantium (Bitter Orange). It's a strong anti-oxidant to protect your skin.
2. Strengthens the skin using Cilantro Seed oil and Vitamin E. Interestingly, CilantroSeed Oil is rich in petroselinic acid, which encourages the stimulation of skin barrier differentiation and accelerated barrier regeneration after pollution damage.
3. Shields against pollution through day and night usage. In the day, the masque prevents pollution particles from adhering to the skin. In the night, let the masque works it magic on your skin.
If you are a Kiehl's fan, feel free to play around with the concept of multi-masking!
Not to forget some of the popular Kiehl's masque.
Be sure to catch these new masques when they are launched in Feb 2016!


In a fix? Don't come unstuck – Let us help!
FL Smidth Cement(Australia) contacted AIE regarding the urgent manufacture of components for a kiln drive unit. Having successfully met their requirements we were subsequently contacted by leading cement, concrete, aggregate and lime producer Holcim (New Zealand) Ltd to carry out the refurbishment of its cement kiln drive gears. We were chosen as we have a successful history of completing these types of refurbishments in a short turn around time.
The pinion had come loose on the shaft and the teeth of the pinion were badly worn. As the keys were not able to be removed by normal means, the shaft was cut between the two gears and machined in our CNC machining centre to reduce key pressure before pressing out the shaft.
The limited time frame for the job and the logistics of transporting the items between the North & South Islands meant careful planning was required by both parties. AIE staff worked around the clock to ensure that dispatch times were met thus minimising downtime for our customer. Holcim contracted a freight company to uplift the components from their Westport Works to meet the Inter-Island ferry crossing and then on to Kawerau. This process was then repeated on completion of the job. Understanding the customer's requirements and open communication enabled AIE to achieve the desired outcome.


Initial Compensation Data Findings - What is the Total Compensation (Base + Bonus) by Job Title for Continuity/ Resiliency Professionals? - BC Management, Inc.
Initial Compensation Data Findings - What is the Total Compensation (Base + Bonus) by Job Title for Continuity/ Resiliency Professionals?
Click on image above to view a larger data chart.


text:
Q: Integrating functions of the form $\Big(\frac{P(t)}{Q(t)}\Big)^{1/2}$ where $P$ and $Q$ are quadratic polynomials of degree $\leq 2$ There is a general method for integrating any function of the form $\sqrt{P(t)}$ where $P$ is a polynomial of degree $\leq 2$. I was wondering if it possible to find
$$\int \sqrt{\frac{P(t)}{Q(t)}}dt$$
for polynomials $P$, $Q$ of degree $\leq 2$ using elementary functions.

A: For degree $1$, it is quite simple to compute
$$I=\int \sqrt{\frac{x-a}{x-b}}\,dx$$ Let
$$u=\sqrt{\frac{x-a}{x-b}}\implies x=\frac{b u^2-a}{u^2-1}\implies dx=\frac{2 u (a-b)}{\left(u^2-1\right)^2}\,du$$ This makes
$$I=2(a-b)\int \frac{ u \sqrt{u^2} }{\left(u^2-1\right)^2}\,du=2(a-b)\int \frac{ u^2 }{\left(u^2-1\right)^2}\,du$$ Using partial fraction decomposition
$$\frac{ u^2 }{\left(u^2-1\right)^2}=-\frac{1}{4 (u+1)}+\frac{1}{4 (u+1)^2}+\frac{1}{4 (u-1)}+\frac{1}{4 (u-1)^2}$$ which is simple.
All other situations lead to monsters in terms of elliptic integrals.


Verna Lee Hamon, 76, of Kirbyville, MO passed away Sunday, March 17, 2019 at Cox Branson Hospital.
Verna was born on July 2, 1942 in Harrison, AR to Jim and Jean (Essex) France. She is preceded in death by her parents, sister Karen Simmons, son Todd Hamon, and in laws Robert and Della Hamon.
Verna was a devoted Christian woman of God who loved the Lord and attended Victor Baptist Church. Verna deeply loved her husband, Gordon, who celebrated 58 wonderful years of marriage. Their love for one another was unwavering and a great example of true love.
Verna attended school at Bee Creek until the 5th grade, Kirbyville, and graduated from Branson High School. She was a Polio survivor that loved to share her story of how she overcame this life-changing disease. Verna worked at the Branson Garment Factory where she would sew thousands of pockets into pants every week. She also worked at the 76 mall, Little Red Wagon, and Silvers Hills Jewelry. Verna loved to collect Native American jewelry and angels, sew, cook, enjoyed the outdoors and collecting wood for their fireplace.
She is survived by her loving husband Gordon Hamon; son Chris (& Deanna) Hamon; brother Jim (& Cindy) France; brother-in-law Wiley Simmons; grandchildren Jacob (& Becca) Hamon, Megan (& Cole) Johnston, Andy Hamon, Katie (& Patrick) Dotson; and great-grandchildren Cooper, Callie, & Colter Hamon, Aspen & Xander Dotson, and Jax Johnston; and many nieces, nephews, cousins, and close friends. She loved her family and friends and always emphasized that she loved them more.
The family would like to say a special thank you for all the love, prayers, and support.


This attack on a WHITE man by a BLACK animal is totally INFURIATING! I am so angry that I can't write much about this. I will say that this is a vicious and violent attack by a scumbag, useless cockroach and this BLACK THUG belongs in a cage.
Dude, you are a disgrace to your race. Keep fueling the fire you racist garbage. Again, I am so angry about this I really can't write much on this without sounding insane. I hope the poor guy is okay.
HERE IS A PICTURE OF THIS ANIMAL. LET'S GET THIS GUY LOCKED UP IN A CAGE WHERE HE BELONGS!


Provide knowledge and information services to ensure free and open access thereby support educational, research and development endeavors related to Sri Lankan Tamil speaking communities.
இது ஒரு நூலக நிறுவனச் செயற்றிட்டம். This is a Noolaham Foundation project.
This page was last edited on 1 June 2018, at 11:07.


Thick mounds of caramel fuse moments before being blended with Izzy's own cream and inviting a splash of sea salt. Face the brawny and addictive climax of sweet and savory and brace yourself for a flavor brouhaha.
Milk, Cream, Sugar, Egg Yolks, Corn Syrup, Non-Fat Milk Solids, Annato Color, Molasses, Butter, Whey, Caramel Color, Salt, Carob Bean Gum, Guar Gum, Carrageenan, Pectin, Water and Natural Flavor.
CONTAINS MILK, EGGS, AND SOY LECITHIN.


text:
Bihar gets further polarized on caste lines
What turned out to be the game changer were RSS Chief Mohan Bhagwat's statements regarding need for a fresh look into the issue of reservation. These statements created uncertainty in the minds of the OBCs and Dalits, the beneficiaries of reservation
By Sanjay Kumar संजय कुमार On December 1, 2015 No Comments इस लेख को हिंदी में पढ़ें
The long suspense about the Bihar elections ended when the JD(U)-RJD-Congress alliance, popularly referred to as the "Mahagathbandan" (Grand Alliance), pulled off a stunning victory. The alliance swept the polls, winning 178 seats and 42 per cent of the votes. Restricted to only 58 seats with 34 per cent votes, the BJP-led NDA has been trounced. This was quite clearly a bi-polar contest. The other parties, namely Samajwadi Party, Pappu Yadav's Jan Adhikar Morcha, the Nationalist Congress Party and the Bahujan Samaj Party, were completely marginalized. The independents and smaller parties together polled 23 per cent votes and managed to win only 7 seats.
The Grand Alliance's spectacular victory was the result of the impressive performance by each of the three constituent parties. Of the 101 seats contested, the RJD managed to win 80, while of a similar number of seats contested, JD (U) managed to win 71. The Congress, which contested 41 seats, managed to win 27 – a huge improvement over its tally of four seats in the previous assembly. When this alliance was formed, there was speculation that it might not work on the ground as the core supporters of the JD (U) and RJD could end up not voting for the alliance partners. This victory has put to rest all such speculation. A successful transfer of votes by the alliance partners to each other gave the Grand Alliance such a massive victory.
The heavy defeat suffered by the NDA is not only because of the dismal performance of the smaller allies. Even the BJP fared poorly. Of the 160 seats that BJP contested, it managed to win 53 with 24 per cent votes. Though BJP ended up with the most votes (24 per cent) for a single party – simply because it contested the most number of seats (160) – its vote share declined by 5 per cent compared to the 2014 Lok Sabha election. This is a continuation of the trend witnessed in each of the five assembly elections held after the 2014 Lok Sabha Election. It is important to note that in terms of seats, the BJP has been reduced to the third position, with RJD at No 1 and JD (U) at No 2.
Among BJP's allies, the Lok Jan Shakti Party (LJP) managed to win just 2 of the 40 seats it contested, while from the 20 seats that Hindustan Awam Morcha contested, Jitan Ram Manjhi emerged as the lone winner. Similarly, Upendra Kushwaha-led Rashriya Lok Samata Party (RLSP) won only 2 of the 23 seats it contested. Not only did the allies fail to transfer votes to each other, it seems that the NDA failed to consolidate the Dalit vote as it had hoped to, with two Dalits leaders, Ram Vilas Paswan and Jitan Ram Manjhi, and their parties in the alliance.
The verdict is clearly a vote for development – not for the development that Prime Minister Narendra Modi promised, but for the development work done by the Nitish Kumar government in its last two terms. The results of the Bihar Assembly Election should not be seen as merely the victory of caste alliance and electoral arithmetic crafted by the JD (U), RJD and Congress. Even the section of voters who voted for the Grand Alliance because of their caste firmly believed that in the past, Lalu Yadav had been instrumental in giving them a voice, self-respect and pride. These voters attached a different meaning to development from their own dictionary.
Initially, both the NDA and the Great Alliance based their campaign on issues related to development and economy, but soon caste and religion became the focal point. Findings from a post-poll survey, conducted by the Centre for the Study of Developing Societies (CSDS), clearly indicates a much sharper polarization of the voters along caste lines in this election compared to the last assembly election. The data presented in Table 2 clearly shows that in comparison to the last assembly election, the 2015 election saw an 8 per cent increase among respondents who said that caste was more important to them. This view cuts across voters of various castes, especially those from the upper castes.
More importantly, there was a clear consolidation of voters along caste lines behind one alliance or the other. While the upper castes overwhelmingly voted for the NDA, Yadavs, Muslims and Kurmis firmly stood behind the Great Alliance. Among the upper castes, 84 per cent voted for the NDA. Never had Bihar seen such a massive polarization of the upper-caste voters in favour of the NDA. Sixty-eight per cent of the Yadavs and 71 per cent of the Kurmis voted for the Grand Alliance. Only tiny sections of these castes voted for the NDA. The NDA had hoped to have the lower-OBCs on their side but the numbers they ended up with were far below expectation. Among the Extremely Backward Caste (EBC) voters, 43 per cent voted for the NDA while 35 per cent voted for the Grand Alliance. The NDA had also hoped to get the Dalit votes because of the Dalit leaders on their side. While the NDA managed to get a sizeable number of Paswan votes (54 per cent), the Mahadalit votes were split between the Grand Alliance, the NDA, and other parties, mainly the BSP. As expected, a chunk of the Muslim votes went to the Grand Alliance. The polarization of voters along caste lines is reflective of deep inter-caste tensions in the state.
The voters weren't just divided along caste lines. Class also clearly affected voting preferences (See Table 3). In a state where approximately two thirds of the population is poor and lower middle class (based on assets owned, house type and household income), the Grand Alliance had a massive advantage. The NDA, on the other hand, primarily got the votes of middle and upper middle classes: 52 per cent of the upper-middle-class votes and 36 per cent of the middle-class votes. The Grand Alliance was extremely popular among the lower-middle-class voters: 46 percent voted for it. The dramatic verdict seems to have successfully communicated that a socially inclusive agenda that addresses the needs of the downtrodden has a greater electoral appeal than rhetoric of a development model lacking details.
The long, five-week campaign seems to have made a huge impact on the electoral outcome. The NDA was certainly ahead in the electoral race when the elections were announced but lost the momentum during the campaign that followed. With every passing day and week during the campaign, the NDA kept losing its popular support while the Grand Alliance kept gaining ground. As the campaign progressed, BJP's promises of development gave way to personal attacks. This did not go down well with the voters of Bihar.
What turned out to be the game changer were RSS Chief Mohan Bhagwat's statements regarding need for a fresh look into the issue of reservation. These statements created uncertainty in the minds of the OBCs and Dalits, the beneficiaries of reservation. The lower OBCs, who seemed somewhat divided at the beginning of the campaign, voted overwhelmingly for the Grand Alliance, which had championed the cause of reservation for the OBCs. Thus the campaign resulted in a shift among the lower OBC and Dalits away from the BJP, and the massive consolidation of the Yadavs and the Kurmis in favour of the Grand Alliance. The reality is that there is sizeable support in Bihar for the policy of caste-based reservation. Hence, Bhagwat's statements turned the tide against the BJP.
The centralized nature of BJP's campaign also seem to have cost the NDA. The party went into the campaign with their two popular faces, Prime Minister Narendra Modi and the party president Amit Shah. As was obvious from the posters and the hoardings put up during the campaign, the local leadership was completely sidelined. The Nitish-Lalu duo used this to their advantage, and made "Bihari" versus "Bahari" an issue of their campaign. The BJP may also have suffered due to their policy of not declaring the chief ministerial candidate. If these were not enough, the soaring prices of pulses angered a section of the voters. They blamed the central government more than the state government for this and decided to vote against the NDA.
Now, this victory of the Grand Alliance is sure to open possibilities of alliances between non-BJP parties in the future. We might see some early signs in that direction as four states go to the polls in May 2016. This rout will also force the BJP to introspect about what went wrong with its campaign strategy. The bigger question though will be about BJP's inability to win elections when faced with a united opposition.
Table 1: Voting pattern by caste and community
Voted Grand Alliance Voted NDA
Upper caste 9 84
Yadav 68 12
Kurmi 71 18
Koeri 31 28
EBC 35 43
Paswan 19 54
Mahadalit 25 30
Muslim 69 6
All figures are percentages. Source: CSDS
Table 2: Caste vs development – what mattered more to the voters?
2010 2015 Post-Poll
Caste mattered more than development while voting 28 36
Development mattered more 61 54
No opinion 11 10
Table 3: The class divide in the support base of political parties
Voted Grand Alliance Voted NDA Lead of GA over NDA
Poor 41 29 +12
Lower Middle Class 46 33 +13
Middle Class 39 36 +3
Upper Middle Class 36 52 -16
This analysis is based on a post-poll survey conducted by Lokniti, Centre for the Study of Developing Societies (CSDS). The survey was conducted among 3,946 respondents (the final sample) in 240 locations spread across 60 assembly constituencies of Bihar. The constituencies were randomly selected using the Probability Proportionate to Size method. Thereafter, four polling stations within each of the sampled constituencies were selected using the Systematic Random Sampling method. Finally, the respondents were randomly selected using the same method from the latest electoral rolls of the sampled polling stations.
Fieldwork was conducted after voting ended in each phase. Trained field investigators asked respondents a set of detailed questions in a face-to-face interview lasting 20-25 minutes. The achieved sample largely matches the demographic profile of Bihar. The data file used for analysis was weighted by the actual vote share secured by the major parties.
The fieldwork was coordinated by Prof Rakesh Ranjan (Patna University) and supervised by Vijay Kumar Singh (V M College, Pawapuri). The survey were designed and analysed by a team of researchers at CSDS, Delhi, led by Sanjay Kumar, director, CSDS.
Tags:bihar election 2015 caste CSDS Grand Alliance JD (U) Lalu Mahagathbandan Mohan Bhagwat Nitish polarisation polarise RJD RSS
Sanjay Kumar संजय कुमार
Sanjay Kumar is a professor and currently director, Centre for the Study of Developing Societies (CSDS). Views expressed are personal
Mandal wins in Bihar
The credibility enjoyed by Lalu among the forces of social justice and secularism and the positive impact of the development brought about by Nitish combined to produce this victory. The enthusiasm of women of all castes and classes also played a role
बिहार में मंडल की जीत
सामाजिक न्याय और धर्मनिरपेक्ष शक्तियों के बीच लालू प्रसाद की विश्वसनीयता और प्रदेश में नीतीश कुमार के विकास कार्यों के प्रति एक सकारात्मक भाव ने मिलकर इस जीत को संभव बनाया। सबसे बढ़कर हर जाति-वर्ग की महिलाओं की उत्कंठा ने, जिसने उन्हें भारी संख्या में मतदान केन्द्रों तक पहुंचाया
Bihar election through Bathe's eyes
The Dalits and the Backwards here have suffered greatly at the hands of the upper castes but they are still divided in terms of their voting preferences
बाथे की नजर से बिहार चुनाव
दलितों और पिछड़ों ने ऊँची जातियों के हाथों बहुत कुछ भोगा है परंतु वोट के मामले में वे अब भी बंटे हुए हैं
Was Mandal an extension of Kamandal?
The Sangh Parivar had no problem with this politics of "Hindu social justice" because it could see that Muslim votes were being used to politically strengthen the weaker sections of Hindus that were reaping the benefits of reservations
क्या कमंडल का विस्तार था मंडल?
संघ परिवार को इस 'हिंदू सामाजिक न्याय' की राजनीति से कोई दिक्कत नहीं थी क्योंकि वह देख रहा था कि मुसलमानों के वोट का इस्तेमाल करके यह राजनीतिए हिंदू धर्म के कमजोर तबकों कोए जो आरक्षण का लाभ उठाकर आर्थिक तौर पर मजबूत हो रहे थे, राजनीतिक तौर पर मजबूत कर रही है
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text:
\section{Introduction}
The Farkas Lemma, also known as the Farkas--Minkowski Lemma,
plays a key role in linear programming and the relevant areas of
optimization.\footnote{Cp.~\cite{History}\cite{Encyc}.}
The aim of this talk is to demonstrate how Boolean valued
analysis\footnote{Cp.~\cite{IBA}.}  may
be applied to simultaneous linear inequalities with operators.
This particular theme is another illustration of the deep and powerful
technique of ``stratified validity'' which is characteristic of
Boolean valued analysis.

Assume that $X$ is a~real vector space,
$Y$ is a~{\it Kantorovich space\/} also known as a~Dedekind complete vector lattice or a complete Riesz
space. Let $\mathbb  B:=\mathbb B(Y)$ be the {\it base\/} of~$Y$, i.e., the complete Boolean algebras of
positive projections in~$Y$; and let $m(Y)$ be the  universal completion of~$Y$.
Denote by $L (X,Y)$ the space of linear operators from $X$ to~$Y$
and let $\mathop{\fam0 Orth}\nolimits(Y)$ stand for the commutant of $\mathbb  B$
in $L^{(r)}(Y)$.
In case $X$ is furnished with some $Y$-seminorm on~$X$, by $L^{(m)}(X,Y)$ we mean
the {\it space of dominated operators\/} from $X$ to~$Y$.
As usual,  $\{T\le y\}:=\{x\in X \mid Tx\le y\}$ and $\ker(T)=T^{-1}(0)$
for $T: X\to Y$.

\section{Inequalities: Explicit Dominance}

\[
\xymatrix{
  X\ar[dr]_{B} \ar[r]^{A}
                & W  \ar@{.>}[d]^{\mathfrak X}  \\
                & Y           }
\]

{(\bf 1):}
$(\exists \mathfrak X)\ {\mathfrak X}A=B \leftrightarrow {\ker(A)\subset\ker(B)};
$

{(\bf 2):}\footnote{The Kantorovich  Theorem, \cite[p.~44]{SubDif}.} {\sl If $W$ is ordered by $W_+$ and $A(X)-W_+=W_+ - A(X)=W$, then}
$$
(\exists \mathfrak X\ge 0)\ {\mathfrak X}A=B \leftrightarrow \{A\le0\}\subset\{B\le 0\}.
$$

\section{Farkas: Explicit Dominance}
{\scshape Theorem~1.}{\sl\
Assume  that $A_1,\dots,A_N$ and $B$ belong to~$ L^{(m)}(X,Y)$.

The following are equivalent:

{\rm(1)} Given   $b\in \mathbb B$, the operator inequality $bBx\le 0$
is a consequence of the simultaneous linear operator inequalities
$bA_1 x\le0,\dots, bA_N x\le 0$,
i.e.,
$$
\{bB\le 0\}\supset\{bA_1\le 0\}\cap\dots\cap\{bA_N\le 0\}.
$$

{\rm(2)} There are  positive  orthomorphisms $\alpha_1,\dots,\alpha_N\in\mathop{\fam0 Orth}\nolimits(m(Y))$
such that
$$
B=\sum\limits_{k=1}^N{\alpha_k A_k};
$$
 i.e.,
$B$ lies in the operator convex
conic hull of~$A_1,\dots,A_N$.}

\section{Farkas: Hidden Dominance}
{\scshape Lemma 1.}{\sl\
Let $X$ be a vector space over some subfield $R$ of the reals~
$\mathbb{R}$.
Assume that $f$ and $g$ are  $R$-linear functionals on~$X$;
in symbols, $f, g\in X^{\#}:=L(X,\mathbb R)$.

For the inclusion
$$
\{g\le0\}\supset\{f\leq0\}
$$
to hold it is necessary and sufficient that
there be $\alpha\in\mathbb{R}_+$ satisfying
$g=\alpha f$.}

{\scshape Proof.}
{\scshape Sufficiency} is obvious.

{\scshape Necessity:} The case of $f=0$ is trivial. If $f\ne0$ then there is
some $x\in X$ such that $f(x)\in \mathbb R$ and~$f(x)>0$. Denote the image $f(X)$ of~$X$
under~$f$ by~$R_0$. Put $h:=g\circ f^{-1}$, i~.e. $h\in R_0^{\#}$ is the only solution
for $h\circ f=g$. By hypothesis, $h$ is a positive $R$-linear functional
on~$R_0$. By the Bigard Theorem \cite[p.~108]{SubDif}
$h$ can be extended to a positive homomorphism
$\bar{h}: \mathbb R\to\mathbb R$, since
$R_0-\mathbb R_+=\mathbb R_+-R_0=\mathbb R$.
Each positive automorphism of~$\mathbb R$ is multiplication by a positive real.
As the sought $\alpha$ we may take  $\bar{h}(1)$.

The proof of the lemma is complete.

\section{ Reals: Explicit Dominance}
{\scshape Lemma 2.}{\sl\
Let $X$ be an $\mathbb R$-seminormed vector space over some subfield $R$ of~
$\mathbb{R}$.
Assume that $f_1,\dots, f_N$ and $g$ are  bounded $R$-linear functionals on~$X$; in symbols, $f_1,\dots, f_N, g\in X^{*}:=L^{(m)}(X,\mathbb R)$.

For the inclusion
$$
\{g\le0\}\supset\bigcap\limits_{k=1}^{N}\{f_k\leq0\}
$$
to hold it is necessary and sufficient that
there be $\alpha_1,\dots,\alpha_N \in\mathbb{R}_+$ satisfying
$$
g=\sum\limits_{k=1}^{N}\alpha_k f_k.
$$
}

\section{Origins}
Cohen's final solution of the problem of the cardinality of the
continuum within ZFC gave rise to the Boolean valued models.

Scott forecasted  in 1969:\footnote{Cp.~\cite{Scott}.}
\begin{itemize}
\item[]{{\it We must ask whether there is any interest
in these nonstandard models aside from the independence proof;
that is, do they have any mathematical interest?
The answer must be yes, but we cannot yet give a really good argument.}
}
\end{itemize}

Takeuti coined the term ``Boolean valued
analysis''  for applications of the models
to analysis.\footnote{Cp.~\cite{Takeuti}.}

\section{Boolean Valued Universe}
Let
${\mathbb B}$
be a~complete Boolean algebra. Given an ordinal
$\alpha$,
put
$$
V_{\alpha}^{({\mathbb B})}
:=\{x \mid
(\exists \beta\in\alpha)\ x:\mathop{\fam0 dom}\nolimits (x)\rightarrow
{\mathbb B}\ \&\ \mathop{\fam0 dom}\nolimits (x)\subset V_{\beta}^{({\mathbb B})}  \}.
$$
The {\it Boolean valued
universe\/}
${\mathbb V}^{({\mathbb B})}$
is
$$
{\mathbb V}^{({\mathbb B})}:=\bigcup\limits_{\alpha\in\mathop{\fam0 On}\nolimits} V_{\alpha}^{({\mathbb B})},
$$
with $\mathop{\fam0 On}\nolimits$ the class of all ordinals. The truth
value $[\![\varphi]\!]\in {\mathbb B}$ is assigned to each formula
$\varphi$ of ZFC relativized to ${\mathbb V}^{({\mathbb B})}$.

\section{~Descending and Ascending}

Given $\varphi$, a~formula of ZFC, and
$y$, a~member of~${\mathbb V}^{{\mathbb B}}$; put
$A_{\varphi}:=A_{\varphi(\cdot,\ y)}:=\{x\mid\varphi (x,\ y)\}$.
The {\it descent\/}
$A_{\varphi}{\downarrow}$
of a~class
$A_{\varphi}$
is
$$
A_{\varphi}{\downarrow}:=\{t\mid t\in {\mathbb V}^{({\mathbb B})} \ \&\  [\![\varphi  (t,\ y)]\!]=\mathbb 1\}.
$$
If
$t\in A_{\varphi}{\downarrow}$,
then
it is said
that
{\it $t$
satisfies
$\varphi (\cdot,\ y)$
inside
${\mathbb V}^{({\mathbb B})}$}.
The {\it descent\/}
$x{\downarrow}$
of $x\in {\mathbb V}^{({\mathbb B})}$
is defined as
$$
x{\downarrow}:=\{t\mid t\in {\mathbb V}^{({\mathbb B})}\ \&\  [\![t\in x]\!]=\mathbb 1\},
$$
i.e. $x{\downarrow}=A_{\cdot\in x}{\downarrow}$.
The class $x{\downarrow}$ is a~set.
If $x$ is a~nonempty set
inside
${\mathbb V}^{({\mathbb B})}$ then
$$
(\exists z\in x{\downarrow})[\![(\exists t\in x)\ \varphi (t)]\!]
=[\![\varphi(z)]\!].
$$
The {\it ascent\/} functor acts in the opposite direction.

\section{ The Reals Within}

There is an object
$\mathscr R$
inside
${\mathbb V}^{({\mathbb B})}$ modeling $\mathbb R$, i.e.,
$$
[\![\mathscr R\ {\text{is the reals}}\,]\!]=\mathbb 1.
$$
Let $\mathscr R{\downarrow}$ be the descent of
 the carrier $|\mathscr R|$ of the algebraic system
$$
\mathscr R:=(|\mathscr R|,+,\,\cdot\,,0,1,\le)
$$
inside ${\mathbb V}^{({\mathbb B})}$.
Implement the descent of the structures on $|\mathscr R|$
to $\mathscr R{\downarrow}$ as follows:
$$
\gathered
x+y=z\leftrightarrow [\![x+y=z]\!]=\mathbb 1;
\\
xy=z\leftrightarrow [\![xy=z]\!]=\mathbb 1;
\\
x\le y\leftrightarrow [\![x\le y]\!]=\mathbb 1;
\\
\lambda x=y\leftrightarrow [\![\lambda^\wedge x=y]\!]=\mathbb 1
\\
(x,y,z \in\mathscr R{\downarrow},\ \lambda\in\mathbb R).
\endgathered
$$

{\scshape Gordon Theorem.}
{\sl $\mathscr R{\downarrow}$
with the descended structures is a universally complete
vector lattice with base
$\mathbb B(\mathscr R{\downarrow})$
isomorphic to
${\mathbb B}$}.

{ Proof of Theorem~1.}

{(2)$\to$ (1):}
If  $B=\sum\nolimits_{k=1}^N{\alpha_k A_k}$ for some positive
$\alpha_1,\dots,\alpha_N$ in~$\mathop{\fam0 Orth}\nolimits(m(Y))$ while  $bA_k x\le 0$ for $b\in\mathbb B$ and
$x\in X$, then
$$
bBx=b\sum\limits_{k=1}^N \alpha_k A_k x=\sum\limits_{k=1}^N \alpha_k bA_k x\le 0
$$
since orthomorphisms commute and projections are orthomorphisms of~$m(Y)$.

{(1)$\to$ (2):}
Consider the separated Boolean valued universe $\mathbb{V}^{(\mathbb{B})}$ over the base~$\mathbb B$
of~$Y$.
By the Gordon Theorem the ascent $Y{\uparrow}$ of~$Y$ is $\mathscr{R}$,
the  reals inside~$\mathbb{V}^{(\mathbb{B})}$.

Using the canonical embedding, we see that $X^{\scriptscriptstyle\wedge}$
is an~$\mathscr R$-seminormed vector space over the standard name  $\mathbb{R}^{\scriptscriptstyle\wedge}$
of the reals~$\mathbb{R}$.
Moreover, $\mathbb{R}^{\scriptscriptstyle\wedge}$ is a~subfield and
sublattice of~${\mathscr R}=Y{\uparrow}$
inside~$\mathbb{V}^{(\mathbb{B})}$.

Put $f_k:=A_k{\uparrow}$ for all $k:=1,\dots, N$  and $g:=B{\uparrow}$.
Clearly,  all $f_1,\dots, f_N,g$ belong to~$(X^{\scriptscriptstyle\wedge})^*$
 inside~${\mathbb V}^{\mathbb B}$.

Define the finite sequence
$$
f:
\{1,\dots,N\}^{\scriptscriptstyle\wedge}\to (X^{\scriptscriptstyle\wedge})^*
$$
  as the
ascent of~$(f_1,\dots,f_N)$.
In other words, the truth values are as follows:
$$
[\![f_{k^{\scriptscriptstyle\wedge}}(x^{\scriptscriptstyle\wedge})=A_k x]\!]={\mathbb 1},\quad [\![g(x^{\scriptscriptstyle\wedge})=Bx]\!]={\mathbb 1}
$$
for all $x\in X$ and $k:=1,\dots,N$.

Put
$$
b:=[\![A_1x\le 0^{\scriptscriptstyle\wedge}]\!]\wedge\dots\wedge
[\![A_N x\le 0^{\scriptscriptstyle\wedge}]\!].
$$
Then $bA_k x\le 0$ for all $k:=1,\dots,N$ and
$bBx\le 0$ by~(1).

 Therefore,
$$
[\![A_1x\le 0^{\scriptscriptstyle\wedge}]\!]\wedge\dots\wedge
[\![A_N x\le 0^{\scriptscriptstyle\wedge}]\!]\le [\![Bx\le 0^{\scriptscriptstyle\wedge}]\!].
$$

In other words,
$$
[\![(\forall k:=1^{\scriptscriptstyle\wedge},\dots,
N^{\scriptscriptstyle\wedge})f_{k}(x^{\scriptscriptstyle\wedge})
\le0^{\scriptscriptstyle\wedge}]\!]
$$
$$
=
\bigwedge_{k:=1,\dots,N} [\![f_{k^{\scriptscriptstyle\wedge}}(x^{\scriptscriptstyle\wedge})\le0^{\scriptscriptstyle\wedge}]\!]
\le [\![g(x^{\scriptscriptstyle\wedge})\le 0^{\scriptscriptstyle\wedge}]\!].
$$

Using  Lemma~2 inside~$\mathbb{V}^{(\mathbb{B})}$  and  appealing  to the maximum principle
of Boolean valued analysis, we infer that there is
a~finite sequence  $\alpha:\{1^{\scriptscriptstyle\wedge},
\dots,N^{\scriptscriptstyle\wedge}\}
\to \mathscr R_+$ inside ${\mathbb V}^{({\mathbb B})}$
satisfying
$$
[\![(\forall x\in X^{\scriptscriptstyle\wedge})
g(x)
=\sum_{k=1^{\scriptscriptstyle\wedge}}^{N^{\scriptscriptstyle\wedge}}
\alpha(k)  f_k(x)]\!]={\mathbb1}.
$$
Put
$\alpha_k:=\alpha(k^{\scriptscriptstyle\wedge})
\in {\mathscr R}_+{\downarrow}$
for $k:=1,\dots,N$.
Multiplication by an element in~$\mathscr R{\downarrow}$ is an orthomorphism of~$m(Y)$.
Moreover,
$$
B=\sum\limits_{k=1}^N \alpha_k  A_k,
$$
 which completes the proof.

\section{ Counterexample: No Dominance }
Lemma~1, describing the consequences of a single inequality,
does not  restrict the class of functionals under consideration.
The analogous version of the Farkas Lemma simply fails for
two simultaneous inequalities in general. Indeed, the inclusion
$\{f=0\}\subset\{g\leq 0\}$
equivalent to the inclusion $\{f=0\}\subset\{g=0\}$ does not imply
that $f$ and~$g$ are proportional in the case of an arbitrary subfield
of~$\mathbb R$. It suffices to look at $\mathbb R$ over the rationals $\mathbb Q$,
take some  discontinuous $\mathbb Q$-linear functional on~$\mathbb Q$  and
the identity automorphism of~$\mathbb Q$.
This gives grounds for the next result.

\section{ Reconstruction: No Dominance }
{\scshape Theorem 2.}{\sl\
Take $A$ and  $B$ in $L(X,Y)$.
The following are equivalent:

{\rm(1)} $(\exists \alpha\in \mathop{\fam0 Orth}\nolimits(m(Y)))\ B=\alpha A$;

{\rm(2)} There is a projection $\varkappa\in \mathbb B$ such that
$$
\{\varkappa bB\le 0\}\supset\{\varkappa bA\le 0\};\quad
 \{\neg\varkappa bB\le 0\}\supset\{\neg\varkappa bA\ge 0\}
$$
for all $b\in\mathbb B$.}

{\scshape Proof.}
Boolean valued analysis reduces the claim to
the scalar case. Applying Lemma~1 twice and writing  down the truth values,
complete the proof.

\section{ Interval Operators}
Let $X$ be a~vector lattice.
An~{\it interval operator\/} ${\bf T}$ from $X$ to~$Y$
is  an~order interval $[\underline{T}, \overline{T}]$
in  $L^{(r)}(X,Y)$, with $\underline{T}\le \overline{T}$.

The interval equation ${\bf B}=\mathfrak X {\bf A}$ has a~{\it weak interval solution\/}\footnote{Cp.~\cite{Inexact}.}
provided that $(\exists \mathfrak X )(\exists A\in {\bf A})(\exists B\in {\bf B})\ B=\mathfrak X A$.

Given an interval operator ${\bf T}$ and $x\in X$, put
 $$
 P_{{\bf T}}(x)=\overline{T}x_+ -\underline{T}x_-.
 $$
Call ${\bf T}$ is {\it adapted\/} in case
$\overline{T}-\underline{T}$ is the sum of finitely many disjoint addends,
and put  $\sim(x):=-x$ for all $x\in X$.

\section{ Interval Equations}

{\scshape Theorem 3.}
{\sl Let $X$ be a vector lattice, and let $Y$ be a~Kantorovich space.
Assume that
 ${\bf A}_1,\dots, {\bf A}_N$ are adapted interval operators and ${\bf B}$ is an arbitrary
 interval operator in the space of order bounded operators $L^{(r)}(X,Y)$.

The following are equivalent:

{\rm(1)} The interval equation
$$
{\bf B}=\sum_{k=1}^N \alpha_k {\bf A}_k
$$
has a weak interval solution $\alpha_1,\dots,\alpha_N\in\mathop{\fam0 Orth}\nolimits(Y)_+$.

{\rm(2)} For all  $b\in \mathbb B$ we have
$$
\{b\mathfrak B\ge 0\}\supset\{b{\mathfrak A}_1^{\sim}\le 0\}\cap\dots\cap\{b{\mathfrak A}_N^{\sim}\le 0\},
$$
where ${\mathfrak A}_k^{\sim}:=P_{{\bf A}_k}\circ\sim$ for $k:=1,\dots,N$ and $\mathfrak B:=P_{{\bf B}}$.
}

\section{ Inhomogeneous Inequalities}

{\scshape Theorem 4.}
{\sl Let $X$ be a $Y$-seminormed space, with $Y$ a~Kantorovich space.
Assume given some dominated operators
$A_1,\dots,A_N,  B\in L^{(m)}(X,Y)$ and elements $u_1,\dots, u_N,v\in Y$.
The following are equivalent:

{\rm(1)} For all   $b\in \mathbb B$ the  inhomogeneous operator inequality $bBx\le bv$
is a consequence of the
 consistent simultaneous inhomogeneous operator inequalities
 $bA_1 x\le bu_1,\dots, bA_N x\le bu_N$,
i.e.,
$$
\{bB\le bv\}\supset\{bA_1\le bu_1\}\cap\dots\cap\{bA_N\le bu_N\}.
$$

{\rm(2)} There are positive orthomorphisms $\alpha_1,\dots,\alpha_N\in\mathop{\fam0 Orth}\nolimits(m(Y))$
satisfying
$$
B=\sum\limits_{k=1}^N{\alpha_k A_k};\quad v\ge \sum\limits_{k=1}^N{\alpha_k u_k}.
$$
}

\section{Inhomogeneous Matrix Inequalities}
In applications we encounter inhomogeneous matrix inequalities
over various finite-dimensional spaces.\footnote{Cp.~\cite{Olvi}.}

{\scshape Theorem 5.}{\sl\
Let $X$ be a~real $Y$-seminormed space, with $Y$  a~Kantorovich space.
Assume that
$A\in L^{(m)}(X,Y^s)$, $A\in L^{(m)}(X,Y^s)$, $u\in Y^t$ and $v\in Y^m$, where
$s$ and $t$ are some naturals.

The following are equivalent:

{\rm(1)} For all   $b\in \mathbb B$  the inhomogeneous operator inequality
$bBx\le bv$ is a~consequemce of the consistent inhomogeneous inequality
$bA x\le bu$, i.e., $\{bB\le bv\}\supset\{bA\le bu\}$.

{\rm(2)} There is some $s\times t$ matrix with entries positive orthomorphisms
of~$m(Y)$ such that
$B={\mathfrak X} A$ and~${\mathfrak X}u\le v$
for the corresponding linear operator $\mathfrak X\in L_+(Y^s, Y^t)$.
}

\section{ Complex Scalars}

{\scshape Theorem 6.}{\sl\
Let $X$ be a~complex $Y$-seminormed space, with $Y$ a~Kantorovich space.
Assume given  $u_1,\dots, u_N,v\in Y$ and dominated operators
$A_1,\dots,A_N,  B\in L^{(m)}(X,Y_{\mathbb C})$ from~$X$ into the complexification
$Y_{\mathbb C}:=Y\otimes iY$ of~$Y$.
The following are equivalent:

{\rm(1)} For all   $b\in \mathbb B$ and $x\in X$ the inhomogeneous  inequality
$b\vert Bx\vert\le bv$
is a~consequence of the consistent simultaneous inhomogeneous  inequalities
$b\vert A_1 x\vert\le bu_1,\dots,b\vert A_N x\vert\le bu_N$, i.e.,
$$
\{b\vert B\vert\le bv\}\supset\{b\vert A\vert_1\le bu_1\}\cap\dots\cap\{b\vert A\vert_N\le bu_N\}.
$$

{\rm(2)} There are complex orthomorphisms $c_1,\dots, c_N\in\mathop{\fam0 Orth}\nolimits(m(Y)_{\mathbb C})$
satisfying
$$
B=\sum\limits_{k=1}^N{c_k A_k};\quad v\ge \sum\limits_{k=1}^N{\vert c_k\vert u_k}.
$$
}

\section{ Theorem of the Alternative}

{\scshape Theorem 7.}{\sl\
Let $X$ be a~$Y$-seminormed real vector space,
with $Y$ a~Kantorovich space.
Assume  that $A_1,\dots,A_N$ and $B$ belong to~$ L^{(m)}(X,Y)$.

Then one and  only one of the following holds:

{\rm(1)} There are   $x\in X$ and $b, b' \in \mathbb B$  such that
$b'\le b$ and
$$
 b'Bx>0, bA_1 x\le0,\dots, bA_N x\le 0.
$$

{\rm(2)} There are   $\alpha_1,\dots,\alpha_N\in\mathop{\fam0 Orth}\nolimits(m(Y))_+$
such that
$
B=\sum\nolimits_{k=1}^N{\alpha_k A_k}.
$
}

\section{ All Is Number}
The above results, although curious to some extent,
are nothing more than simple illustrations of the powerful technique
of model theory shedding new light at the {\it Pythagorean
Thesis}.
The theory of the reals enriches  mathematics,
demonstrating the liberating role of logic.

\section{Pursuit of Truth}
We definitely feel truth, but we cannot define truth properly.
That is what Tarski explained to us in the  1930s.

We pursue truth by way of proof, as wittily phrased by Mac Lane.
Model theory evaluates and counts truth and proof.

The chase of truth not only leads us close to the truth we pursue but also enables
us to nearly catch up with many other
instances of truth which we were not aware nor even foresaw at the start
of the rally pursuit.  That is what we have learned from
the Boolean models elaborated in the  1960s by  Scott,
Solovay, and  Vop\v enka.

\bibliographystyle{plain}

redpajama_set_name: RedPajamaArXiv


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text:
Home > News > News Releases > Public Advisory: Road closures uptown
Public Advisory: Road closures uptown
Commercial Properties Limited and its Project Manager, FCC Construction, are upgrading the mechanical system at the Brunswick House Building in Uptown Saint John. This upgrade involves the lift of mechanical equipment to the roof of the building.
The work is scheduled to take place over the weekend of April 18/19. Road closures to facilitate the work will start at 8:00 p.m. on Friday, April 17 extending until Monday April 20 at 6:00 a.m.
While work is underway, Chipman Hill will be closed to through traffic. King Street and Market Square westbound lanes will also be closed from Canterbury to Water Street. Parking on King between Chipman Hill and Canterbury Street will remain available but will only be accessible eastbound on King Street.
Saint John Transit will be advising of temporary arrangements for transit users of the Market Square bus stop in front of City Hall.