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Dead Man's Curve
Bethel, Ohio
8.6 miles from Owensville, OH
This intersection has been the site of numerous accidents, usually people who lost control at the curve (hence the name). People report seeing a male hitchhiker who has no face. Submitted by Chris Berglund
Chateau Laroche - Loveland Castle
13.1 miles from Owensville, OH
The Historical Loveland Castle & Museum, aka Chateau Laroche, is said to be haunted by many ghosts, including one who liked a particular willow tree and a girl in a long dress who walked on water. A Viking in a long dark cloak has been seen as well.
Peters Cartridge Company
Maineville, Ohio
Peters Cartridge Company, built in 1916, produced gunpowder and ammunition, including bullets and cannonballs for the Union during the Civil War. It is said to be haunted by workers that were killed in accidental explosions during the 1940s. Witnesses have reported footsteps and apparitions seen through the windows at night.
Kings Island Amusement Park
Mason, Ohio
Kings Island, an amusement park that opened in 1972, is rumored to have an 1840s graveyard called Dog Street Cemetery on the premises. But most witnesses feel that the park's haunts are victims of accidental deaths, like the 1976 tragedy when a Lion Country Safari Ranger was killed by a ...
Greenup Street Water Tower
The apparition of a man in workman clothing has been standing underneath the water tower by local residents. He vanishes when approached, and appears to be confused or lost. (Submitted by Callum Swift)
Christopher's Bed and Breakfast
Bellevue, Kentucky
This bed-and-breakfast inn was originally built as a 19th-century church. Among the unusual things that happen here: Apparitions have been spotted on the stairs, the piano plays by itself during the night, and disembodied voices and footsteps have also been reported.
Banana Leaf Modern Thai
The building is rumoured to be haunted by the apparition of a woman murdered over a century ago. Her ghost has been seen in the dining room on the upper floor of the restaurant. (Submitted by Callum Swift)
Imogene Remus, wife of notorious bootlegger George Remus, is rumored to haunt their former home. When George went to prison in the mid-1920s, Imogene sold all the furnishings in their mansion and many of his distilleries, essentially closing his business, and filed for divorce. On October 6, 1927, they were ...
Spring House Gazebo
In 1927 a wealthy and prominent business man and bootlegger murdered his wife Imogene in broad daylight and in front of a dozen witnesses (including her daughter) in the park's gazebo. She was on her way to the courthouse to divorce him and apparently, this was too much for ...
Cincinnati Ghosts: And Other Tri-State Haunts
Karen Laven
Ghosts of Cincinnati (OH): The Dark Side of the Queen City (Haunted America)
Teri Casper
Cincinnati Haunted Handbook
Cincinnati Art Museum
The Cincinnati Museum of Art is not only renowned for its prized art collection, it is also well known for the various paranormal occurrences there. The first apparition seen here is the seven foot tall figure of a misty black figure with no face, who has reportedly materializes from a ...
Bobby Mackey's Music World
Newport, Kentucky
This night club is sometimes called "the most haunted night club in America." The building was once a slaughterhouse, but it has an even darker link. Alleged Satan worshippers Scott Jackson and Alonzo Walling were said to have killed Pearl Bryan in 1897; her headless body was found near the ...
Taft Museum of Art
The Taft Museum of Art, built in 1820 by Martin Baum, is said to be haunted by several ghosts. Annie is the most famous, the wife of Charles Phelps Taft, half-brother of President William Howard Taft. They are the ones who donated the building to the city in 1932. Annie ...
Cincinnati Zoo
The ghost of a lioness has been heard following visitors and workers in the zoo late at night. Green eyes are also seen in darker buildings or at the end of corridors. (Submitted by Callum Swift)
Hilton Cincinnati Netherland Plaza
A ghostly Lady in Green walks the Hall of Mirrors and the mezzanine. She was seen often by construction workers in 1983, while the hotel was undergoing renovations. Legend has it that she was the wife of a worker who was killed during the hotel's construction in 1930. So the ...
Cincinnati Music Hall
Haunts have been reported at this historic music hall since the 1870s. It is said that when an elevator shaft was installed in 1988, bones of both children and adults were found under the building.
Stepstone Church - Immaculate Conception Church
Butler, Kentucky
Some reports say this church still stands, and others say it has been torn down. But rumor has it that whatever its state, it is haunted by four teen girls who some men hung on a cross in the loft before setting fire to the church. Witnesses have heard girls ...
Middendorf-Bullock Funeral Home
Covington, Kentucky
This historic home was formerly a boarding house for students at a nearby mortuary college, and is rumoured to be haunted. Staff claim to have felt a strange in the building after dark, and have seen a shadowy male apparition on the landing. (Submitted by Callum Swift)
Stenton House - Cornell Place Apartments
There have been numerous deaths reported in these historic apartments. Disembodied footsteps and ghostly voices are heard in the old building when on one is around. (Submitted by Callum Swift)
Spring Grove Cemetery
Spring Grove Cemetery is said to have a haunted bust on a gravestone located in Lot 100. It is said to turn its head and watch those who walk past.
Haunted Miami Valley, Ohio
Jennifer Eblin
A Haunted History of Columbus, Ohio
Nellie Kampmann
Columbus Ohio Ghost Hunter Guide (Ohio Ghost Hunter Guides) (Volume 4)
Jannette Quackenbush
Cincinnati Union Terminal and Museum Center
The ghost of a former security guard who was murdered there still haunts the building at night, rattling the door knobs and checking the locks on the doors. A World War I plane exhibit is haunted by the ghost of a pilot. Visitors have reported seeing the ghostly aviator in ...
Golden Lamb Inn
Lebanon, Ohio
Ten presidents, including John Quincy Adams, have stayed at the charming Golden Lamb Inn, in operation since 1803. Harriet Beecher Stowe and Mark Twain also are among its former guests. The rooms also are named for past guests, and rumor has it that the Harriet Beecher Stowe room is rich ...
Meldahl Locks and Dam - Foster Dam
Felicity, Ohio
Visitors to Meldahl Locks and Dam, aka Foster Dam, at mile marker 436 on the Ohio River, have witnessed the presence of many spirits here, said to be folks who committed suicide or died accidentally here over the years.
Sedamsville Rectory
Over a century old, the rectory is believed to be haunted. Witnesses working on building renovations have seen eerie mists and shadows under the doors of empty rooms. Some say one ghost who resides here is Father Donald MacLeod, who wrote "The History of Roman Catholicism in North America." In ...
The Screaming Bridge of Maud Hughes Road
Owensville, Ohio
Maud Hughes Road has a haunted bridge known to locals as the Screaming Bridge. Locals say it has been the site of at least 36 deaths through accidents and suicides. Witnesses have reported apparitions, mists, hooded figures, strange lights, and a phantom train on the tracks below. There are many, ...
Westwood Town Hall
The late-1880s Westwood Town Hall used to hold a volunteer fire department in the basement, a jail, meeting rooms, and an auditorium. Legend has it that it's haunted by a deceased security guard named Willy who hanged himself in his apartment on the premises after losing his job. He is ...
Narrows Road
Erlanger, Kentucky
A phantom officer in a '50s police car haunts Narrows Road, locals say, pulling over living drivers late at night. The ghost is said to be the lingering spirit of a cop who was hit and killed by a car here while making a traffic stop in the 1950s. Some ...
Allendale Tunnel
Elsmere, Kentucky
Legend has it that a man hanged himself years ago in this tunnel, and the hook still protrudes from which he hung his rope. Witnesses say they have seen his apparition hanging here or walking in the tunnel and heard his screams.
Snow Hill Country Club
New Vienna, Ohio
Snow Hill Country Club, built in the 1820s as a home for the Harris family, became a country club and golf course in 1924. "Dinner and a Ghost" events have been held there to introduce visitors to its haunts, which are said to cause electrical problems, weird sounds and smells, ...
Hammel House Inn
Waynesville, Ohio
The inn has been declared one of the most haunted buildings in Waynesville. The most haunted room at the bed and breakfast is Room #004. The shadowy apparition of a young merchant who was murdered in the inn has been seen here, as well as in the dining room of ...
Haunted Henry County: And Nearby Hoosier Haunts
Charlene Perry
Ghosts of Historic Delaware, Ohio
John B. Ciochetty
Ghosthunting Ohio On the Road Again
John B. Kachuba
Rankin House
Ripley, Ohio
Rankin House belonged to abolitionist Reverend John Rankin, and he was said to put a bright light in his attic window to symbolize to runaway slaves that it was safe to seek shelter here. Apparitions of slaves are said to appear on Jacob's Ladder near his house on moonless nights.
Baird House Inn
This historic house inn may no longer be in operation, and is now a private residence. The inn was a popular stopover for travellers on the river, and since it was built in 1825, has had a colourful history. Guests and staff at the former inn have reported hearing ...
Hebron Lutheran Cemetery
There has been many sightings here, and I have personally been here multiple times, and have had many experiences. When you approach the crematorium, you can always smell something burning, even if there is no one there. As well, when approaching graves, you can feel a chill and sometimes ...
Sorg Opera House and Mansion
Middletown, Ohio
The opera house is haunted by the ghost of former residents, who can be heard walking around the house and talking late at night. The ghost of an actress in a red dress has been seen in the dressing rooms, but she vanishes when approached. She has also been heard ...
35 miles from Owensville, OH
The Town Hall Theatre, according to witnesses, has a sensitive ghost who doesn't like it when the plays put on here have profane language or nudity. The spirit is said to act up during such performances in order to show his displeasure. There is also alleged to be an apparition ...
Normandy United Methodist Church
Normandy United Methodist Church is housed in a building that was once a mansion. But the mansion's owner never left, according to some, and she still haunts the church. Her perfume has been smelled late at night by the cleaning crews when no one else is in the building.
Florentine Hotel and Restaurant
Germantown, Ohio
The 1816 hotel and restaurant is haunted. Staff and diners have experienced an eerie presence on the third floor, and the mezzanine is haunted by a poltergeist that causes the chandeliers to swing to and fro. (Submitted by Callum Swift)
Big Bone Lick Park
Union, Kentucky
Folks visiting the park have reported disembodied whispers, eerie figures, strange noises and an evil spirit who is said to linger in the nearby woods.
Sherman Tavern
The Sherman Tavern is a historic former tavern built in 1812, which is in the process of being restored by local residents. It was a former stage stop for cattle drovers and American Indians. People restoring the historic building have reported seeing the apparitions of Confederate soldiers, and African American ...
The Big Green Castle
This Victorian manor house is now a private residence, but back when it was abandoned and for sale, residents reported seeing figures in period clothing looking out of the windows and seeing lights moving around the house. (Submitted by Callum Swift)
Haunted Ohio 4: Restless Spirits
Chris Woodyard
Haunted Ohio: Ghosts and Strange Phenomena of the Buckeye State
Charles A. Stansfield Jr.
Haunted Ohio V: 200 Years of Ghosts
Aberdeen Baptist Church
Aberdeen, Ohio
The apparitions of young children have been seen inside the church building and in front of it by passing motorists and parishioners. Screams come from inside the church during the night. (Submitted by Callum Swift)
Phillips' Folly
Maysville, Kentucky
Phillips' Folly is a three-story brick house begun around 1828 by Williams B. Phillips. Its nickname came about when Phillips vanished when only the frame had been built, leading folks to believe he had run out of funds for the project. Phillips came back a few years later and finished ...
Whisky's Restaurant
This restaurant began as two private houses that were combined to make a button factory. A former resident, an elderly lady died in the room now called the Malt Room, and her spirit is believed to remain here. A waitress reported feeling a tug on her apron when no one ...
The Precinct Office Center
West Union, Ohio
This historic former jailhouse is now the county office, but has a haunting dating back to the turn of the nineteenth century. Prisoners were reportedly frightened by a apparition robed in white, who repeatedly floated past their cells without making a sound before vanishing. This manifestation has made various ...
Greendale Cemetery
Greendale, Indiana
White or gray apparitions have been seen, and locals say that passing the graves belonging to the Tebbs family will give you chills and an uneasy feeling of being watched. Cold breezes have been reported here on hot, windless days.
Patterson Tower
Kettering, Ohio
Two glowing, shadowy apparitions have been seen standing near the base of the tower on stormy nights. The ghost of a lady in a white dress has been seen on the boulevard directly adjacent to the tower. A black mist has been around the tower, and chases away visitors. (Submitted by ...
Wickerhamm Inn
Peebles, Ohio
At this 1800s building, a murder is said to have led to the haunting that occurs here. The place was a tavern until the 1850s, and so the legend says, a stagecoach driver was murdered and beheaded here in a 1820s robbery. Although there were bloodstains on the floor and ...
Patterson Homestead is a historic house museum built in the early 1800s, originally home to Revolutionary War veteran Colonel Robert Patterson and his wife Elizabeth Lindsay Patterson. When the house was donated to the city by ancestor Jefferson Patterson in 1953, it was complete with 18th- and 19th-century furnishings and ...
Woodland Cemetery has a sad story. Young Johnny Morehouse froze to death when he fell into the Miami & Erie Canal, although his dog tried hard to pull him out. After Johnny died, the dog wouldn't move from the gravesite, and eventually died. A statue was made of the dog, ...
Sinclair Community College's cafeteria is said to rest on the site of the old city gallows, but a number of other places here are rumored to have ghosts. At Blair Hall, something has tugged at witnesses, and they've heard phantom cats, babies and footsteps. The elevators work on their own, ...
More Haunted Michigan: New Encounters with Ghosts of the Great Lakes State (Ohio)
Rev. Gerald S. Hunter
Ohio Ghost Hunter Guide V: A Haunted Hocking Ghost Hunter Guide
Jannette Rae Quackenbush
Cleveland Ghosts
Charles, Jr. Cassady
» Cemeteries near Owensville, OH
» Find museums in Owensville, OH


text:
Herman Cain Interview
2011-03-20T18:34:36-04:00https://images.c-span.org/Files/e92/298541-m.jpgHerman Cain talked about the Obama administration, federal debt, his career and family, his failed 2004 Senate bid, and other topics.
Herman Cain talked about the Obama administration, federal debt, his career and family, his failed 2004 Senate bid, and other topics.
Filter by Speaker All Speakers Herman Cain
Herman Cain Chair (Former) Godfather's Pizza, Inc.
Mar 21, 2011 | 10:03am EDT | C-SPAN 1
See all on Road to the White House
Herman Cain at the Conservative Principles PAC Conference
Herman Cain talked about his possible run for President in 2012 and talked about the many crises facing America today…
Herman Cain Remarks at Lincoln Day Dinner
Syndicated columnist and radio talk show host Herman Cain spoke at a Lincoln-Reagan dinner. In his comments he said that he is…
Reactions to Herman Cain Presidential Announcement
C-SPAN viewers expressed their opinions on Herman Cain's announcement that he would be running for the presidency.
Herman Cain Remarks
Republican presidential candidate Herman Cain spoke about his campaign for the Republican presidential nomination at…

redpajama_set_name: RedPajamaCommonCrawl


The fascinating image is part of You Can Leave Your Hat On Movie Theme has dimension x pixel. You can download and obtain the You Can Leave Your Hat On Movie Theme images by click the download button below to get multiple high resolutionversions. Here is important information about HD Themes. We have the resource more image about HD Themes. Check it out for yourself! You can acquire You Can Leave Your Hat On Movie Theme and see the in here.


Get To Vail Limousine specializes in private DIA Aspen Transportation. We service mainly Denver International Airport and Vail Eagle Airport and do transfers from the airports to Aspen, Snowmass, Beaver Creek, Vail, Keystone and Breckenridge ski resorts. The price list for DIA Aspen Transportation will follow below. With our luxury and comfortable vehicles you do not feel the 4 hour drive from Denver to Aspen. DVD, Satellite radio and bottled water are a must in each of our vehicles.
The easiest way to get from DIA Aspen or from Eagle Vail Airport EGE to Aspen is to simply give as a call and book your trip. We usually schedule departures from Aspen to Denver Airport 6 hours prior to the plane scheduled departure but if adverse weather conditions exist, we may reschedule the pick up time to 8 or even 9 hours departure prior to take off. When going to Eagle Airport, we schedules the trips from Aspen to Eagle Airport 3 hours prior to the plane departure. We are dedicated to serve our clients with the best possible customer service and driving and providing safe and affordable Denver DIA to Aspen Transportation.
Reservations: (970) 390-6569 or book@get2vaillimo.com.


text:
Trafigura releases half year results showing a strong commercial performance in a rapidly evolving market
Singapore, 10 June 2021 – Trafigura Group Pte Ltd ("Trafigura" or the "Group"), one of the world's leading independent commodity trading companies, released its half year results today. They show a strong commercial and financial performance in what continues to be a rapidly evolving business environment, with record gross profit, EBITDA and net profit for the period ending 31 March 2021.
Revenue rose 19 percent to USD98.4 billion from the first half of 2020 as a result of increased traded volumes and higher commodity prices. Gross profit of USD4.3 billion was 54 percent higher. The even stronger rise in net profit to USD2.1 billion from USD0.5 billion in the same period last year in part reflected stabilisation of the Group's industrial assets, which had negatively impacted results in the previous year, combined with a very strong trading performance. EBITDA was USD3.7 billion, a 53 percent increase from a year ago.
Both principal trading divisions, Oil and Petroleum Products and Metals and Minerals, showed increased trading volumes, higher margins and larger gross profit. Gross profit margin rose to 4.3 percent from 3.8 percent when compared to the same period last year.
Market conditions, driven in large part by the economic recovery, underlined the need for reliable service providers such as Trafigura with the risk management skills, global network, physical assets and financial capacity to help customers navigate these markets.
"This outstanding first half performance reflects our continuing efforts to build customer business, expand our product footprint and adapt to structural changes across many commodity markets, driven by the energy transition," said Trafigura's Executive Chairman and Chief Executive Officer Jeremy Weir.
The period included the announcement of a number of key transactions, including the acquisition of a 10 percent equity stake in Russian oil and gas company Vostok Oil, as well as investments in green hydrogen, battery storage and nickel production projects, indicating the key role that the energy transition, together with the technologies and materials needed to support it are now playing in the commodity trading business.
Another notable feature of the period was a substantial strengthening of the Group's overall financial position enabling it to handle larger trade flows. Trafigura secured access to increased bank liquidity on favourable terms, issued in the public and private EUR debt capital markets, while an increase in retained earnings strengthened Group equity and reduced leverage.
"The Trafigura Group has emerged strengthened from the disruption caused by the COVID-19 pandemic, with a robust platform for sustained business growth and consistently strong financial performance. While we do not expect to match the first half results in the second half of this financial year, we do expect very strong performance for the full year and look with increasing confidence to 2022," concluded Jeremy Weir.
Trafigura Press Office: +41 (0) 22 592 4528 or media@trafigura.com
About Trafigura
Founded in 1993, Trafigura is one of the largest physical commodities trading groups in the world. Trafigura sources, stores, transports and delivers a range of raw materials (including oil and refined products and metals and minerals) to clients around the world and has recently established a power and renewables trading division.
The trading business is supported by industrial and financial assets, including a majority ownership of global zinc and lead producer Nyrstar which has mining, smelting and other operations located in Europe, Americas and Australia; a significant shareholding in global oil products storage and distribution company Puma Energy; global terminals, warehousing and logistics operator Impala Terminals; Trafigura's Mining Group; and Galena Asset Management.
With circa 850 shareholders, Trafigura is owned by its employees. Over 8,500 employees work in 48 countries around the world. Trafigura has achieved substantial growth over recent years, growing revenue from USD12 billion in 2003 to USD147 billion in 2020. The Group has been connecting its customers to the global economy for more than two decades, growing prosperity by advancing trade.
Visit: www.trafigura.com
2021 Interim Results
2021 Trafigura Interim Report
2021 Interim Report: Interview with Christophe Salmon, Trafigura Group CFO
View all Group press releases
Access our range of publications, animations and videos


M4 RAS is the M4A1 Carbine which equips with the RAS (Rail Accessory System) handguard , as the standard equipment for the M4 / CQBR used by US Special Force based on the SOPMOD block I (Special Operations Peculiar Modification) developed by USSOCOM.
The Masterkey is an under-barrel door breaching shotgun system developed in 1980s. This project wants to provide assault rifle with a built-in breaching tool and let soldiers no need to carry an extra breaching shotgun on the battlefield. It consists of a Remington M870 shotgun mounted on a M16 or M4 assault rifle in an under-barrel configuration, like the M203 grenade launcher. Independent stock is needed when need to use the Masterkey as a stand alone weapon which can also used with the M203 grenade launcher as Masterkey cannot used independently.
The Masterkey is only a tested type modular weapon in US army, but it successfully inspired the M26 (called XM26 when testing) under-barrel shotgun attachment and chosen by US army as the new breaching tool.
Comes with an air cocking Masterkey (with short barrel) attached on the outer barrel.
Comes with the upper part of the RAS Handguard. The lower part of the RAS is included in the package.
Metal Frame with clear "Skull Frong" Marking.
Comes with Standard handgrip in black.
Comes with LMT style buttstock which store up to 7.4V Lipo batteries inside the rear stock tube with normal t-plug.
Ready to go for 350 FPS (both M4 RAS and Masterkey) without modification.
Included 130 rounds M4 mid-cap magazine and 22 rds shotgun magazine.


Universal Hexagonum Wireless Charger (Polycarbonate Travel Chargers) - BoxWave's Universal Hexagonum Wireless Charger allows wireless charging for your Qi-enabled devices!
Note: Please remove all metal cases prior to charging, as this may overheat and damage your device.
Let us know what you think about the Universal Hexagonum Wireless Charger!
Suggest a new Universal Hexagonum Wireless Charger color!


Discussion in 'Black Hat SEO' started by seotechlab, Sep 15, 2014.
Avoid using a linkwheel. It's an outdated link building technique. Use tiered links instead (a link wheel without the wheel).
Your Wordpress blogs should rank fairly quickly provided the content is ok.
there is no shortcut, you will have to be patient. Depending upon your niche, competition & your promotion ranking will come on it's due time.
Depending on the level of competition. But, generally, there are no fast rankings these days. You have to create decent content (at least), build some quality backlinks gradually, and be patient.
Avoid the link wheel because it can leave the footprint. So I suggest you to choose pyramid model aka tiered link building.
Well technically there is with some churn and burn methods but long term is the best your right.
Tiered link buliding u can rank really fastee compare to other technique !!!
From what I can tell, Google has got wind of the Link Wheel method.
I'm sure they're also onto the tiered linking. Done correctly, it still works.
Don't use automated tools, do it manually so as not to leave a footprint (evidence).
I agree with the above, although you could go a step further and mix the Tier 3 Web 2.0s up a bit, so there's no consistency that can be noticed.
If the Tier 3 were also all random then it would be an even fainter footprint.
manually on every tier? that's sick..


With Google's Chrome making big market share gains month after month and Microsoft working hard on Internet Explorer 9, the pressure is on stagnating Mozilla to step up its game and stay competitive. In an attempt to spark some interest for the next major upgrade of its open source browser, Firefox team leader Mike Beltzner delivered a presentation yesterday night outlining the company's plans for the near future.
In a nutshell, Beltzner listed three main goals for Firefox 4: making it super fast, including support for new open standard web technologies (HTML 5 and more), and putting users in full control of their web experience with personalization features. Beltzner noted that Firefox 3.7 would be ditched in favor of an update to 3.6, version 3.6.4, which will include the former's main additions like out-of-process plug-ins for improved stability and security.


Shopping website Mums.sg has come under fire for failing to deliver its products on time to customers.
According to AsiaOne, most of the purchases were intended Christmas gifts for children, which made the delay more infuriating.
Netizens have taken to Mums.sg's Facebook to vent their frustrations as well as to enquire about the delivery status of their products.
"If you are maximizing effort now, you could have done it earlier. I am really disappointed by the fact that the services promised wasn't delivered. I seriously think that you should re-consider the fact that your website caters to little ones for Christmas. Hence please step-up your services before CASE comes into the picture. Thank you."
Many others have also expressed disappointment at how the matter was handled.
Some customers however have also come forward to commend Mums.sg for rushing out the deliveries.
"Thanks so much for delivering the parcel even during public holiday! Kid is happy with his Christmas present delivered on Christmas day. Thanks for rushing out the delivery. Would be good if we were informed of the status."
"Dear Customers, we would like to apologise if your delivery was not in time. We would like to inform you that all the LEGO deliveries are now with our drivers, who are trying to clear all the deliveries by today. Unfortunately we cannot provide the exact delivery time but the drivers will contact you by phone in case you are not at home to receive further instructions. Rest assured that MUMS has tried the best to make this special Lego orders delivered in time. Also many of the customers are receiving their Lego ahead of time. Thanks for your patience and understanding."
TV presenter and DJ Jamie Yeo, one of Mums.sg's co-founders has attributed the delay to a surge in the amount of orders coming in this month.
"There were about 1,000, sometimes up to 1,500 orders each day."
As of today, customers are still demanding for refunds and complaining about undelivered purchases on Mums.sg' Facebook.


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Adam Tuominen (22 de janeiro de 1980, Adelaide, Austrália Meridional) é um ator australiano,  conhecido por interpretar Hunter Bradley, o Ranger Rubro na série de televisão Power Rangers Tempestade Ninja.

Filmografia

Filmes
 Temptation (2003) - Courier
 A Second Chance (2011) com Nina Pearce e Emily Morris
 My Friend Pillow

Televisão
 Underbelly: Razor (2011) - Frank "Razor Jack" Hayes, parte da gangue Bruhn
 McLeod's Daughters
 "Lost & Found" (2006) - John Nostier
 Power Rangers: Dino Thunder
 "Thunder Storm: Part 2" (2004) - Hunter Bradley/Crimson Thunder Ranger
 "Thunder Storm: Part 1" (2004) - Hunter Bradley
 Power Rangers: Ninja Storm (2003) - Hunter Bradley/Crimson Thunder Ranger
 Young Lions
 Episode #1.5 (2002) - Nathan Smyth
 Always Greener
 "Mirror Image" (2002) - Aaron/Drew Savage

Video games
 Power Rangers: Ninja Storm (2003) - Crimson Ranger

Atores da Austrália
Elenco_de_Power_Rangers
Naturais de Adelaide (Austrália)

redpajama_set_name: RedPajamaWikipedia


Key Changes and Updates to the 2017 – 2026 Montgomery County .the application of health problem study areas to the policy and the covenants . recommendation for the County and City to address Rockville's annexation process for . Potential Use of Travilah Quarry for Additional Raw Water Storage: The.health issues related to travilah quarry rockville,1 Staff Recommendation: Transmission of Planning Department .May 11, 2017 . communities experiencing public health problems from failing wells or septic systems, and ... for the County and City to address Rockville's annexation process . o Potential Use of Travilah Quarry for Additional Raw Water.
regional water supply planning and resiliency - MWCOGMar 17, 2017 . COG Department of Environmental Programs. Presentation to . Leesburg & Rockville . human health effects & .. Travilah Quarry Reservoir.health issues related to travilah quarry rockville,A win for the rule of law - Montgomery County SentinelApr 5, 2018 . the Maryland Department of Health, said a major reason it . postage paid at Rockville, MD. 20849-1272. .. ner in the Rockville law firm of Mc- ... Atlantic Region for the Travilah Quarry, 13900 Piney Meetinghouse Road,.
Table 4-1 Major Discontinuities in Travilah Quarry . .. MOOSE LOYAL ORDER OF ROCKVILLE LODGE .. and health information to aid in the cleanup.
Key Changes and Updates to the 2017 – 2026 Montgomery County .
the application of health problem study areas to the policy and the covenants . recommendation for the County and City to address Rockville's annexation process for . Potential Use of Travilah Quarry for Additional Raw Water Storage: The.
Mar 17, 2017 . COG Department of Environmental Programs. Presentation to . Leesburg & Rockville . human health effects & .. Travilah Quarry Reservoir.
Nov 12, 2002 . at City Hall in Rockville, Maryland, on November 14, 2001; and. WHEREAS, on .. the National Institute of Health (NIH), the National Cancer Institute, the Food and Drug .. place in the Darnestown Road corridor near the Rockville Crushed Stone quarry, Wootton .. station in the Rockville-Travilah area.
Places from the Past: The Tradition of Gardez Bien in Montgomery .
Montgomery Court House and then Rockville, was selected for the county seat in 1776 and ... A sandstone quarry near Seneca was the source of stone used in the .. efit society that provided health and burial services for families at a time .. the edge of Travilah Road, is remarkable for its level of architectural detail.
Apr 5, 2018 . the Maryland Department of Health, said a major reason it . postage paid at Rockville, MD. 20849-1272. .. ner in the Rockville law firm of Mc- ... Atlantic Region for the Travilah Quarry, 13900 Piney Meetinghouse Road,.
Milor Apartments, Rockville, Clean-up week, before and after, 1945 (Health Department; ... Seven Locks Road intersection, looking north, Bradley Boulevard in .. Rockville Crushed Stone Quarry and Farm, 1979 (County Council Members; Potter; . Travilah Road, n.d. (County Council Members; Potter; Photographic.
annual enforcement & compliance report - Maryland Department of .
MDE inspected 70,545 sites, which is 32% fewer sites in FY 2016 than in FY ... Either environmental/health violations or technical/preventative violations .. sites include the Bridgeville operation of Shore Sand and Gravel and the Texas Quarry .. Rockville. BMI#: MD1764. Comsat Property. Site Alias: Intelsat Technical.
Oct 31, 2017 . policy for parks and recreation in Montgomery County to the year 2030 and .. Getting outdoors is considered a way to prevent illness, and team sports .. excluding many large municipalities such as Rockville and Gaithersburg .. Ednor Soapstone Quarry CP .. TRAVILAH (25) TRAVILLE LOCAL PARK.
NPDES Dischargers Section I: Process Water Permits - Maryland .
Oct 5, 2012 . WASA with regard to the design flow listed in the Blue Plains permit. .. INSIGNIFICANT INDUSTRIAL DELIGHT QUARRY .. INSIGNIFICANT INDUSTRIAL ROCKVILLE FUEL FEED COMPANY .. INDUSTRIAL STORMWATER UNIVERSITY OF MARYLAND MEDICAL CENTER .. TRAVILAH QUARRY.
Assistance in the preparation of this report was furnished by the Work Projects Administration . State Department of Health ... miles northeast of Rockville; elev. .. Branch Quarry: in Baltimore County. .. (1%) miles southeast of Travilah.
Dec 10, 2014 . Rockville, Potomac, Gaithersburg, Silver . gram, headquartered in Potomac, is a civil- ... opments at the site of the Stoneyhurst Quarry site on . are dangerous to human health and are not ... Beth Ami, 14330 Travilah Road,.
ENTITIES DOING BUSINESS WITH WSSC Calendar Year 2016 .
(Published in accordance with WSSC Code of Ethics § 2-11). PAGE(S) .. National Institutes Of Health (NIAID) 5625 Fishers Lane, Rockville ... 9736 TRAVILLE GATEWAY DR ROCKVILLE, MD 20850 .. QUARRY HOUSE TAVERN, THE.
Research performed in cooperation with International Center for Aggregates Research and Aggregates .. Scientists in metallurgy, mineralogy, and health science have used image ... Martin Marietta, Forsyth Quarry, Georgia; crushed line (TX # 1) supplied by Vulcan .. Rockville Crushed Stone,. Travilah, MD.
2017 MARYLAND LICENSED NURSERIES, PLANT DEALERS .
Mar 20, 2017 . For further information contact the Maryland Department of Agriculture at 410-841-5920. Ordered by Firm Name . ROCKVILLE, MD 20855-1520. PASADENA, MD .. COMPLETE PLANT HEALTH CARE, INC. ... DIGGING IN THE DIRT. DIRECT .. 13711 TRAVILAH ROAD .. QUARRY VIEW PRODUCE.
Nov 22, 2010 . In the interim, the allocation is listed in the minor industrial loadings as the previous industrial facility is no longer .. NATIONAL INSTITUTES OF HEALTH-9000 ROCKVILLE PIKE .. MDG491365 TRAVILAH QUARRY.
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N4:2S7. State University of New York Health Science Center [New York] .N4:2S75 ... Quarry Heights .Q43 .. Rockville [Allegany County] .R64 .. -in-Hand .. Trappe [Talbot County] .T745. Trappe [Worcester County] .T75. Travilah .T76.
As a supporter of Environmental Working Group, I urge the FCC to .
Provide adequate protection for children's health -‐ accounting for their . cell phone radiation and cancer, lowered sperm counts and other health problems. ... Rockville. MD. 20853. Yuliya. Akselrod. 226 Pond Street. Natick. MA. 01760 .. 36519 Center Ridge Road. N. Ridgeville. OH. 44039. Irina. Chayka. Travilah.


ASSOCIATION INDICATES A TRADITION IN INNOVATION, RESEARCH AND COLLABORATION THAT LENDS STATURE..
THE ROBOTO FONT FAMILY INCLUDES MONO, SLAB, REGULAR, BOLD, CONDENSED. IT IS VERSATILE, TIMELESS, FLEXIBLE, & FREE FOR ADOBE USERS.
Banners and other signage can be generic or specific to sub brands. The branding for the exterior of the 1301 studios should be generic to the program as the sub brands merge here.
The reoccurring use of grid, solid black square within the studio, with white furniture was a strong consideration in the choice of these colors and fonts. The grey concrete should be accentuated as well for this identity. Neutrals will accentuate any theme when dressed out.
The CMCI STUDiO is a cutting edge, nationally-renowned school with a reputation to rivals and exceeds The New School, and Stanford's D-School.
IT'S AN EXPERIENCE IN INNOVATIVE DESIGN.
The program lacks rebranding and guidelines to reflect a new identity that differentiates itself from the main campus and a traditional learning environment.
The CMCi STUDiO is a collaborative strategic design studio based experience with innovators who participate in a re-dsesign of the future.
Values: A collective of thinkers and doers. We innovate at the crossroads of collective creativity, technology and design.
Theme: Start Here. Change Everything.
Timeless colors and style that compliments all artistic and design flavors. Solid black, solid white, and medium grey are a dramatic but neutral contrast to showcase student artwork, classes, student work and portfolios, workshops, and events.
The use of bright fonts is the 2018 style, it can be modified and determined by individual programs, these should appeal to specific persona.
Identifying the STUD!O with CMCI tells the student where to inquire.
Custom Wall murals by graduate students.
Notice here that the ! here is not an inverted letter I, it is an exclamation point. Strict adherence to either preference is recommended. I like this verion better because it adds an angled difference in a n otherwise neutral font.
Hi Dan, the STUD!O. This was a fun project. It is, like the others, a work-in-progress (WIP). I can't wait to see the new branding.


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// Raba
🇪🇹
Ethiopia... | November 2019
Our portfolio of companies continue to make great progress building their businesses, including hiring terrific talent and growing in their core markets. In November, Lori Systems and Twiga Foods announced new funding rounds led by Hillhouse Capital and Goldman Sachs, respectively. We have three new portfolio companies joining Raba — stealth company A (logistics, pre-seed/build), Stitch (payments, pre-seed), and Yoco Technologies (payments, Series B extension). I will provide deeper dives into each company in our year-end LP letter.
The majority of this update will focus on my trip to Ethiopia, a "new" market for Raba. I'm excited about the potential there, and look forward to sharing more in future conversations and letters with you.
I traveled to Ethiopia in October, and met with founders, local investors, business people and operators to help better understand the opportunities and challenges in the market. I came away with two clear thoughts. First, the talent to build technology companies is definitely there. Second, Ethiopia is very early in the technology company building phase — companies in foundational layers like payments infrastructure are very early and limited in scope and market penetration. Despite legacy friction (and despite raising very little outside capital), one payments company I met is growing 20% MoM with over 1M customers.
Why is Ethiopia exciting?
Aside from the impressive talent, Ethiopia has the second-largest population in Africa (108 million people), and has over 50 million phone subscribers. My conversations with local founders and investors focused on common themes of friction in the infrastructure domains of logistics, supply chains and payments (focus areas for Raba). I believe there will be opportunities for existing Raba companies to expand into Ethiopia and potentially invest in local companies building the next generation of foundational businesses.
Some background on Ethiopia is important to fully grasp the opportunity. Ethiopia is one of the first Christian countries in the world and is the only large African country that has not been ruled by Europeans. From my walks through Addis and visits to local establishments, the culture felt unique and it's own. Education is valued, and the government substantiated that cultural commitment earlier this year by earmarking ~13% of its budget to education across 50 federally administered universities. It's also worth noting that one of the world's best and most profitable airlines is Ethiopian Airlines, run entirely by Ethiopians (thank you Miles for this stat). The foundational elements of a thriving growth economy seem to be in place, and what is needed to complete the picture is clear policies for potential foreign investment.
Just think, it's 2019 and there is a clear blue sky opportunity to build the foundational technology companies to serve a population of over 100 million people. The possibilities here are very exciting. Today, Ethiopia is led by Abiy Ahmed, a charismatic young leader (he's 43 and much younger than most African leaders) who was recently awarded the Nobel Peace Prize. Independent of varying political views about his leadership, it is clear that young people are excited about the change he is bringing to Ethiopia. Granted, my meetings were mainly with technology company founders and business people, but it was refreshing to hear a country's youth express enthusiasm for a political leader (it's usually the opposite around the world today). Also, it appears the current administration is focused on opening the country to potential investment. The finance minister was recently quoted as saying "in the past, we have been actively involved in economic affairs, but now we are rebalancing. We need to facilitate the sustainability of growth. We will first privatize four sectors: telecom, aviation, energy and logistics." We understand that there is considerable interest from global investors in the coming privatization deals — the spectrum sale, for example, has garnered interest from larger telecom players. Safaricom CEO Michael Joseph recently described the sale as "the biggest prize left in Africa from a telecoms point of view."
I look forward to sharing more insights and appreciate any suggestions regarding people we should get to know in the Ethiopian ecosystem.
Transsion, who?
I recently attended a Transsion mobile internet conference in Nairobi. For those who don't know Transsion, it's a Chinese handset company that sold over 120M devices last year with a dominant market share in Africa, generating over $3.2B in revenue in 2018. It's considered an African tech success story, especially in China.
A few thoughts from the summit:
The conference had a significant number of blue chip institutional Chinese investors in attendance, and they are very focused on building relationships with African investors and company founders. Aside from a few African VC investors, there was a clear void of non-Chinese institutional capital in attendance.
Transsion is looking to use its large installed base of users to build additional consumer services. Boomplay, an African focused music streaming service with over 60M users (reportedly adding 2M users per month), is one example. I expect to see more partnership agreements and direct consumer services to be built on top of Transsion's significant installed base. I had the opportunity to meet with a member of Transsion's investment team, and I expect to see them become more active investing in early to later-stage companies across the continent.
Chinese technology companies will compete with U.S. (and other) companies for strategic technology partnerships in infrastructure layer areas like payments. A recent example of this is Visa's $200M investment earlier this month in Nigerian fintech company Interswitch. Andrew Torre from Visa summed up their stance: "Africa is a priority region for us, and we continually seek strategic partnerships with local players to further strengthen our leadership position and enhance the payments ecosystem across the continent." We are also seeing Chinese entrants (funded by Chinese investors) enter the consumer payments space (Opay is an example, having raised $170M over the last 6 months) another recent example was PalmPay, raising a $40M seed round. Below is an image of the investors involved:
Earlier this month, the South African Rugby team, the Springboks, won the Rugby World Cup. The win was described by players and fans as unifying the country, and more than just about sport. The Springboks are a team that hails from a wide range of backgrounds, none more inspiring than team captain Siya Kolisi, who after the game summed it up best with "we can achieve anything if we work as one." Here is a link to Siya's post-game interview.
I recently participated in an interview with Eric Orlander at The China Africa Project on Chinese Venture Capitalist investing in African startups. Read more here.
I was the subject of an interview with Patrick O'Shaughnessy on his popular Invest Like the Best podcast. You can listen to it here. Special thanks to Ryan Petersen at Flexport for the introduction to Patrick.


It would be nice, if deleted plugins remove automatically from plugin manager or by pushing "Scan folder" button.
The development forum is for the actual development of OpenMPT (i.e. questions about the code), not feature request.


The original farm was owned by Mr. Halley Scott.
On proclamation, stand 1086 was purchased by Dr Michael Girdwood in June 1936(the same year proclamation took place) and construction of the house followed soon thereafter. The windows and exterior doors are Burmese teak and the floors and interior doors are Oregon pine. The stone on site provided the main source of construction.
The Girdwood's used the property for holidays until 1946 when Dr Girdwood and his wife retired and moved from Johannesburg into the house until 1977, when the house was inherited by Dr Michael Girdwood Jr. Since then the property was also let to members of the public.
The street name "Shooters Hill" was chosen by the original Mrs. Girdwood when asked to do so by Mr. Halley Scott. She grew up in a street called Shooters Hill in Oxfordshire, England.
In May 2006 the house was bought from Dr Michael Girdwood by Ruzanne Gouws. She contracted Studio 88 Architects to renovate and modernize the house and in October 2006 the renovations were finished. The result was fantastic - a very unique property was made even more special.


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Home News Bill Passes Senate Allowing Judges to Strike Sentence Enhancement for Prior Convictions
Bill Passes Senate Allowing Judges to Strike Sentence Enhancement for Prior Convictions
The California Senate recently passed Senate Bill 1393, the Fair and Just Sentencing Reform Act, which reinstates judicial discretion to the application of the five-year sentence enhancement for each prior serious felony on a person's record at the time when a person is currently charged with a serious felony.
The bill, which passed with a vote of 23 to 14, is part of the Equity and Justice Package of 2018 authored by Senators Holly Mitchell and Ricardo Lara that seeks justice reforms for juveniles and adults.
"Mass incarceration is a massive moral failure and policy failure. It's a moral failure because we now know that it is injurious to families and to the economies of low-income
communities, and that its violence has been directed overwhelmingly at Black men and Black women, Latinos and Latinas," Mitchell said.
"As a matter of public policy, paying for long prison sentences is the worst use of public safety dollars. We must stop wasting taxpayer dollars on a failed policy."
California has some of the most severe sentence enhancements for prior convictions in the nation. According to the Public Policy Institute of California, "California has more than 100 separate code sections that enhance sentences" based on a person's current offense and/or record of prior convictions.
As of 2016, 79 percent of people under California Department of Corrections and Rehabilitation custody had some kind of sentence enhancement attached to their base sentence; 25 percent had three or more enhancements stacked on.
Communities of color have been the most severely impacted by the application of these punitive policies. According to data from CDCR, there are close to 100,000 years' worth of the 5-year enhancement applied to people currently under CDCR custody.
The Fair and Just Sentencing Reform bill would help restore balance in the judicial process, address extreme sentences, and reduce racial disparities in the criminal justice system by allowing judges to decide what is best in the interest of justice.
"The financial and emotional stress of having a loved one in prison is extremely difficult, and sentence enhancements only add to the strain," said Zakiya Prince, a member of the Ella Baker Center. "My husband committed an offense in which no one was hurt or even threatened, but because of mandatory enhancements my family must cope with 10 additional years of financial, emotional and mental hardships.
The passage of this bill builds on the national bipartisan momentum to enact criminal justice reforms that divest from ineffective mass incarceration policies and invest in community-based solutions like mental-health care, education, and substance-use treatment.
This bill also builds on the efforts of the California Legislature, which last year passed SB 180, The RISE Act, or Repeal of Ineffective Sentencing Enhancement Act), authored by Mitchell, which repealed the three-year sentence enhancement for prior drug convictions; and SB 620 authored by Senator Bradford, allowing judges to strike unwarranted gun sentence enhancements. These efforts are in line with California voters who have also shown their support for such reforms in recent years by voting for Propositions 47, 64 and 57.
Holly Mitchell
Co-sponsors of the RISE Act include ACLU of California, Californians United for a Responsible Budget, Coalition for Humane Immigrant Rights, Drug Policy Alliance, Ella Baker Center for Human Rights, Friends Committee on Legislation California, and Legal Services for Prisoners with Children.
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REVIEW FROM www.livingtradition.co.uk
Jeana Leslie & Siobhan Miller
Shadows Tall
Greentrax CDTRAX352
The press release describes them as "shining stars" and refers to their "touring to great acclaim". Hmmm, I thought, peeling the shrink-wrap, such an epithet can often mean that the words of an over-enthusiastic publicist have leapt ahead of an actual public regard. However on this, the duo's second release for Ian Green's label, the natural blend of their two voices, combined with substance and imagination means that the follow-up to In A Bleeze (2008) really delivers on an emotional and visceral level. From the opener - Johnnie O'Braidisleys - this album sounds convincing. The widescreen epic (Child 114) boasts an arrangement whose piano part's sense of approaching inevitability would've warned Johnnie that he really shouldn't have pushed his poacher's run of luck that day!
Leslie and Miller I'd guess, will be in their early 20s but they have an assuredness and maturity that, makes me think they're built to last. Siobhan concentrates on lead vocals, whilst Jeana here takes care of fiddle, keyboards and adds just-right harmonies. Trad is their forte, though there is more recently-written material featured too and mostly an unaffected, quietly-making-its-point approach is the order of the day. Ian Sinclair's The King's Shilling is a powerful statement and Buttermilk Hill with its tender, lingering melody is especially poignant when so many have newly "gone for a soldier."
Overall the ambience is "Folk" like they used to make. Young guns assuredly, but they're not firing widely in every direction. Instead they offer an alternative to the ramped-up, all influences-on-board modus operandi that many younger musicians feel impelled to adopt in order to stand out. That's not to imply that they're wrapped up in tweed jackets and scarves knitted by their grans – there is syncopation and funkiness too, but it's the overall direct, organic feel from which this recording gains its considerable charm.
A set that grows in strength with each play, this is an unexpected winter warmer.
Clive Pownceby
Buy this CD online from The Listening Post
The Listening Post is the CD mailorder service of The Living Tradition magazine. This album was reviewed in Issue 87 of The Living Tradition magazine.


What is a Mother Vertex?
A mother vertex in a graph G = (V,E) is a vertex v such that all other vertices in G can be reached by a path from v.
There can be more than one mother vertices in a graph. We need to output anyone of them. For example, in the below graph, vertices 0, 1 and 2 are mother vertices.
How to find mother vertex?
Case 1:- Undirected Connected Graph : In this case, all the vertices are mother vertices as we can reach to all the other nodes in the graph.
Case 2:- Undirected/Directed Disconnected Graph : In this case, there is no mother vertices as we cannot reach to all the other nodes in the graph.
Case 3:- Directed Connected Graph : In this case, we have to find a vertex -v in the graph such that we can reach to all the other nodes in the graph through a directed path.
A trivial approach will be to perform a DFS/BFS on all the vertices and find whether we can reach all the vertices from that vertex. This approach takes O(V(E+V)) time, which is very inefficient for large graphs.
We can find a mother vertex in O(V+E) time. The idea is based on Kosaraju's Strongly Connected Component Algorithm. In a graph of strongly connected components, mother vertices are always vertices of source component in component graph. The idea is based on below fact.
If there exist mother vertex (or vertices), then one of the mother vertices is the last finished vertex in DFS. (Or a mother vertex has the maximum finish time in DFS traversal).
A vertex is said to be finished in DFS if a recursive call for its DFS is over, i.e., all descendants of the vertex have been visited.
How does the above idea work?
Let the last finished vertex be v. Basically, we need to prove that there cannot be an edge from another vertex u to v if u is not another mother vertex (Or there cannot exist a non-mother vertex u such that u-→v is an edge). There can be two possibilities.
Recursive DFS call is made for u before v. If an edge u-→v exists, then v must have finished before u because v is reachable through u and a vertex finishes after all its descendants.
Recursive DFS call is made for v before u. In this case also, if an edge u-→v exists, then either v must finish before u (which contradicts our assumption that v is finished at the end) OR u should be reachable from v (which means u is another mother vertex).
Do DFS traversal of the given graph. While doing traversal keep track of last finished vertex 'v'. This step takes O(V+E) time.
If there exist mother vertex (or vetices), then v must be one (or one of them). Check if v is a mother vertex by doing DFS/BFS from v. This step also takes O(V+E) time.
// is reachable from v or not.
// reachable from it or not.
# is reachable from v or not.
# reachable from it or not.
This article is contributed by Rachit Belwariar. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.


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Luisa Sonza
Luisa Sonza - Updated Jan 2023
Tuparendi, Brazil
More Facts of Luisa Sonza
Taurus, Pisces, Scorpio
Tuparendi
César Luís Sonza
Eliane Sonza
Sofia Gerloff Sonza
Luisa Sonza Facebook
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Luisa Sonza Youtube
Luisa Sonza Instagram
Luisa Sonza IMDB
Luisa Sonza Wiki
View more / View less Facts of Luisa Sonza
Lusa Sonza is a singer-songwriter from Brazil. Lusa Sonza rose to fame on YouTube singing cover songs in 2014, and in 2017 she released her first major label single, "Good Vibes."
3 Luisa Sonza – Net Worth 2023
7 Awards and Nominations
10 Luisa Sonza – Social Media
Luisa Sonza was born on July 18, 1998, in Tuparendi, Brazil age is 24 years old as of 2022 and Sonza is a naturalized Brazilian citizen who practices Catholics.
Similarly, her birth name is Luísa Gerloff Sonza and her birth sign is Cancer currently, she is living in Tuparendi. Sonza's father and mother's name is Cesar Luís Sonza and Eliane Sonza. Likewise, her sister's name is Sofia Gerloff Sonza.
Talking about her educational background, there is no information available regarding Sonza's schools, colleges, and academics. Sonza might have done her schooling at a community school in Tuparendi.
Later, Sonza might have skipped college as she started to sing at an early age to pursue her professional career.
Luisa Sonza – Net Worth 2023
Sonza is a Brazilian professional singer and songwriter who has earned a considerable income from her work. Sonza's estimated net worth is around $2 million. Also, Sonza's annual salary is $100k per year and her source of income is mainly her singing profession.
On the other hand, her ex-husband, Whindersson Nunes, is recognized as a Brazilian comedian who holds a net worth of around $6 million.
Luisa Sonza was proposed by Whindersson Nunes, a YouTuber, singer, and Brazilian comedian in August 2016. They got engaged in March 2017. In February 2018, they married in Alagoas, Brazil, in a civil and religious ceremony attended by 350 guests.
Moreover, Whinderson announced his divorce on April 29, 2020, via Instagram, claiming that he and Luisa had grown apart but remained good friends. Sonza stated in an interview that she is too conscious of her own body to have biological children and plans to adopt instead. Sonza is out and proudly bisexual.
Caption: Luisa Sonza with her ex-husband. Source: Metropoles
Regarding her career, Sonza began singing at the age of seven at a Gaucho folklore community center in her hometown. Sol Maior hired her as a child singer and she stayed with them for ten years. Sonza would perform up to 24 concerts per month, with an estimated 5,000 people in attendance each time.
Moreover, she gained online visibility after launching a cover song on YouTube channel in 2014. She was dubbed the 'Queen of Covers' at the time. Sonza signed with Universal Music in May 2017, and her first single, Good Vibes, was released shortly after.
Olhos Castanhos (Brown Eyes), a song she wrote for her then-husband Whindersson Nunes, was released as her second single in July.
Also, she released her first self-titled EP in October of that year, with the track No Preciso de Você Pra Nada (There Is Nothing I Need You For) featuring Brazilian singer Luan Santana. Sonza released Rebollar (Twerking) from her first EP as a single in January 2018.
Caption: Luisa Sonza singing a song. Source: O Fuxico
The video was ranked first on YouTube. Sonza made a special guest appearance in an episode of the Brazilian TV sitcom Dra. Sonza was invited to record Nunca Foi Sorte (It Was Never by Chance), a song written by Silva, for the soundtrack of TV Globo's telenovela O Sétimo Guardio in October 2018.
Sonza has endorsed or promoted various brands on social media, including A.ROL, La Sirène, Spotify, and BAW Athletic Wear. Moreover, Lusa Sonza has been named an ambassador for the jewelry company Pandora.
During her professional acting career, Sonza has been nominated for and has won many awards. Sonza has won Prêmio Multishow de Música Brasileira awards, MTV Millennial Awards Brasil awards, WME Awards, and Prêmio Contigo! Online awards, Prêmio Multishow de Música Brasileira awards, etc.
Similarly, Sonza has been nominated for the Meus Prêmios Nick awards, Prêmio Jovem Brasileiro awards, WME Awards, etc.
Caption: Luisa Sonza in an award show. Source: Twitter
Sonza was accused of marrying for money and responded by claiming she made as much as her former husband Whindersson Nunes. She used to believe that being a victim of machismo was her fault, but she realized that no matter what she did, she would be a victim. Also, she has no ill will toward trolls who harass her online.
Talking about her height Sonza is 5 Feet 3 inches tall and weighs 55kg. Similarly, Sonza's body measurement is 34-26-34 inches and her eye color is blue and her hair color is blonde. Also, Sonza's dress size is 5 and her shoe size is 6(US).
Luisa Sonza – Social Media
Luisa Sonza is very active on Instagram. She has 30.3M followers on Instagram and owns an Insta account @luisasonza. Similarly, her Twitter handles @Luisasonza are followed by 4.4M followers. Her Facebook account is @ LuisaSonza and has 4.8M followers.
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Janie Stolar is a comedy writer/performer based in LA.
She currently writes for CollegeHumor, produces a monthly pop culture variety show "Obsessed with Janie Stolar," and co-hosts Reductress's standup show "Haha, Wow!"
She has contributed to Billy on the Street, Awkwafina's TAWK Show, Reductress, and The Onion's celebrity gossip parody site.
Before moving to LA, Janie improvised on house teams at the Upright Citizens Brigade Theatre in New York and co-created The Female Gaze, a long-running, live parody of "The View" with 15 female hosts.
Janie also has lots of experience working in advertising!


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Імре Захар (, 11 травня 1890 — 7 квітня 1954) — угорський плавець і ватерполіст.
Призер Олімпійських Ігор 1908 року, учасник 1912 року.

Посилання
 Імре Захар на Olympedia.org
 Імре Захар на Sports-Reference.com

Примітки

Народились 1890
Померли 1954
Спортсмени Будапешта
Угорські ватерполісти
Угорські плавці
Угорські євреї
Плавці на літніх Олімпійських іграх 1908
Угорські срібні олімпійські медалісти
Призери літніх Олімпійських ігор 1908
Срібні олімпійські медалісти з плавання


I am very proud to add this original make-up mask to my collection for several reasons. 1) This came out of the personal collection of Bill Mumy. At Guy Williams star ceremony held in Hollywood on August 2, 2001. I spoke to Bill Mumy regarding this item. He told me. That he kept 10 of these, and will be auctioning off several in the near future. 2) I purchased this through the Bill Mumy Fan Club through President Glennda Kountz. The money that I paid for the prop will go towards the funds needed for Bill's star campaign. The mask is made of a foam latex rubber, which is complete, and signed by actor Bill Mumy who played Lennier a Minbari alien on Babylon-5. Glennda was also very kind to sell me two ears for the mask, and will also be signed by Bill. Watch out Mr. Spock these ears are priceless too! I purchased this item on August 5, 2001.


The medical director is an active member of the Medical Professional Staff Organization, who is a licensed psychiatrist and is clinically privileged to admit and attend to patients requiring psychiatric care. The medical director will oversee the psychiatric care of all patients admitted to the unit and be responsible for the medical management of those patients as well as provide direction and supervision for all of the members of the interdisciplinary and multidisciplinary team.
The medical director also serves as an attending psychiatrist providing psychiatric evaluation, diagnosis, treatment and medication management. The medical director serves as an active member of the QAPI committee process and serves as liaison member of the governing body.
Our Medical Doctors serve to evaluate current medical history and potential medical problems of the psychiatric patient, order further diagnostic studies as needed deemed appropriately needed and to provide further medical follow-up care. Upon admission one of our qualified Physicians will be assigned to each patient for medical assessment needs, planning for care, and reviewing progress in treatment on identified medical goals throughout our patients stay.


text:
Medical Emergency Deployment Readiness Exercise conducted in California mountain desert
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Video by Sgt. 1st Class Kenneth Scott
At Sierra Army Depot, in the 4000-foot elevation high desert of the Sierra Nevada Mountain range, Army Medical units have assembled after being given five days' notice that they were being evaluated in an Emergency Deployment Readiness Exercise or EDRE. The 531st Hospital Center from Fort Campbell, Kentucky, was put on alert and instructed to pack personal deployment gear and head out the door. They were to rendezvous with subordinate units; to mobilize and establish a field hospital. The unit did not know their destination. All conditions were put in place for the event to simulate an actual deployment and allow the unit to exercise all the steps necessary to successfully provide critical medical support in a combat environment.
On this cold, dry and dusty day in late October, the Fort Campbell medical warriors from the 586th Field Hospital, the 175th Surgical Detachment, the 41st Medical Detachment, and the 431st Intermediate Care Detachment set to work to construct a field hospital. As soon as the hospital was determined operational, Air Force C130 and C17 aircraft began to arrive at an adjacent airfield and ground ambulances began delivering a constant stream of mannequins and live role players to the 148-bed facility. The injured who arrived via aircraft, were from the simulated front line, located 500 miles south, at the National Training Center, Fort Irwin, California. At Fort Irwin, a smaller field hospital, the 115th, triaged the injured and arranged their movement to Sierra Army Depot. The 531st Hospital Center's mission included command and control of both locations and managing the flow of patients the 115th was sending them about two times a day via aircraft. Additionally their mission required the further evacuation of more critical patients by aircraft to Brooks Army Medical Center at Fort Sam Houston, Texas.
The two week long exercise challenged the Medical Warriors with multiple events and scenarios led by Observer Coach Trainers, special effects teams, known as the Effect and Enablers and the exercise control staff. This support staff consists of Active Duty units from the 44th Medical Brigade of Fort Bragg, North Carolina, the Air Mobility Command, U.S. Transportation Command and Army Reserve Units from the Medical Readiness Training Command.
Supporting and evaluating medical units readiness is the primary mission of those that serve in the Army Reserve's Medical Readiness Training Command or MRTC. The command conducts similar exercises multiple times a year, but rarely with the short notice deployment that is specific to the EDRE. This model of exercise remains similar to exercises like Global Medic, where the MRTC evaluates Army Reserve Medical units at Fort Hunter Liggett, California and Fort McCoy, Wisconsin to assure that the Army Reserve maintains combat-ready and highly-skilled Soldiers required for America's Army to win the nation's wars.
The Medical Readiness Training Command advised and oversaw many of the exercise control functions as the 44th Medical Command supplied the Observer Coach Trainers that interfaced with the training units.
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This work, Medical Emergency Deployment Readiness Exercise conducted in California mountain desert, by SFC Kenneth Scott, identified by DVIDS, must comply with the restrictions shown on https://www.dvidshub.net/about/copyright.
EDRE


text:
Space Force Bible written in Galactic Basic and blessed at National Cathedral sparks outrage
YouReadyGrandma 6 days ago
The blessing of the official Bible of the US Space Force took place today and religious groups are livid after learning the selected Bible was written in Galactic Basic; the common language found in Star Wars. The White House confirmed that the Bible was selected by president Trump himself who insisted that it be written in Galactic Basic "so that the aliens could understand." Advertisements
Trump threatens to destroy Iran by becoming their president
Donald Trump announced today that he plans to run for President of Iran in the country's 2021 election if current leader Hassan Rouhani doesn't stop his attacks on US bases in Iraq. "I'm going to be the first man to have a dual-presidency," Trump confirmed. "Can you believe it? They say it's unprecedented folks. Unprecedented." When asked how he plans to win over a 90% Muslim country, Trump said his treatment of women and dislike of transgendered people would form a solid foundation to work from.
In a measured, peaceful, yet offensive response to attacks on US troops in Iraq, president Trump ordered the Air Force to drop over a billion tons of bacon dust over Iran's capital city of Tehran. "With pork being the only meat that absolutely may not be consumed by Muslims, we've made certain that everyone in that city has inhaled or ingested the crispy pig dust," president Trump grinned. Photo credit Kevin Stanchfield
Democrats now glad Trump has been Putin's little bitch after Russia announces new hypersonic weapon
President Trump's approval rating amongst the left jumped from 7.2% to 42.7% after Russian President Vladimir Putin announced a new, deadly, and unmatched hypersonic weapon yesterday. Democrats now admit that Trump's submissive and subservient approach with Russia makes perfect sense. According to Putin the new, terrifying missile can reach a velocity 27 times faster than the speed of sound, hit any part of the planet, and cannot be destroyed by modern anti-missile defense systems. What do you think?
Heartbroken: US military is distraught after "wasting 18 good years on that ignorant slut Afghanistan"
YouReadyGrandma 1 month ago
The largest military force in the world is in shambles after trying and failing to make an 18 year war with "that ignorant slut Afghanistan" work. Clearly shaken, the US military finally came to grips with reality after longtime friend, The Washington Post, offered 2,000 heartfelt pages and 600 interviews proving what deep down the US military already knew: that useless whore Afghanistan would never truly be theirs. In total, the leader of the free world says it's "lost over 2,300 American lives, killed off 150,000 civilians, and spent over $934 billion on that dumb bitch Afghanistan." As of press time, the US military was already six drinks deep and loading up heat-seeking missiles in search of a rebound country.
All of the porn on the internet is being preserved in this Arctic cave
PornHub CEO Mike Zoffler and countless other companies from the industry have revealed that literally all of the legal pornography on the internet is being stored 375 feet under the Arctic ice in a remote location. Notably, there's a global treaty to keep the area neutral during times of war; making it an ideal spot for post-apocolyptic release. Meanwhile doomsday preppers call the porn bunker an ideal spot for a massive orgy to repopulate the planet. "Honestly, this is all we've been getting ready for," doomsday guru Aaron Ward stated. "He who survives the end of the world will possess the greatest treasure of all: free access to unlimited porn." Notably the spank bank looks like something out of a movie, its entrance a phallic obelisk jutting high out of two blinding white orbs. It sparkles with glowing lights and is filled with decades worth of tissues, vibrators, every sex toy known to man, and copious amounts of lube.
Trump tells the tale of the Battle of The Bone Spurs on Veterans Day
In a morning news conference with reporters president Trump took the better part of an hour to share his own war story: The Battle of The Bone Spurs. "People were coming at me from left and right. Every angle folks, every angle," Trump stated. "And just as the Enlisting Forces were about to take me captive, and likely kill me, because they're killers these people; I evaded the enemy with a doctor's note." "So am I a hero?" Trump grinned while placing the Purple Heart around his own neck. "I don't know. You tell me."


Tuesday April 20th 1897 It was quite cold this morning but we washed. I got dinner and looked after my hens some. It rained in the afternoon but the clothes had got dry. Wednesday April 21st 1897 I ironed in the forenoon and did some baking. In the afternoon I worked out of doors a little while and then went over to see how Aunty was. Callie was there. Thursday April 22nd 1897 It was very warm for the season today. I got the work done up and dinner ready and early in the afternoon Will and I got ready to go up town. stopped at home awhile before going over to Woolfs to Jennies wedding. It looked like an awful storm coming up but it did not rain till we got back home. The wedding passed of very pleasantly. Jennie got some nice presents. Friday April 23rd 1897 We did not get up very early and as soon as we had breakfast started for home. It had quit raining. We found there had been a hard hail storm down here. I got dinner and took of some little chickens in the afternoon. Saturday April 24th 1897 It rained the whole forenoon. Jim went to town with Will. I sold the turney hens. I did baking and in the afternoon looked after the chickens and went over to Auntys. Sunday April 25th 1897 This is Charlies birthday. We went to church. I was over to Auntys in the afternoon. Em Weldie was there. Will and I went down to Johns in the evening.


Bev Knott will give an illustrated talk extending his presentation given last year and reflecting new research derived from the ongoing North Somerset Project. Initially, Bev will provide focus on road connections between settlements, villas, religious foundations and industrial sites such as lead, iron and salt works. Later in the talk the commercial and leisure use of roads in the wider Roman world will be considered and comparisons drawn with developing road systems in 18th Century England.


On this page you find all the products from Samson. Find your user manual by choosing one of the products underneath or find your user manual by using the search box in the upper right corner. Can't find the user manual of your Samson product? Please let us know by using the 'Request a manual' page.


text:
\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amssymb}
\usepackage{booktabs}
\usepackage{csquotes}
\usepackage[margin=1in]{geometry}
\usepackage{url}

\renewcommand{\pod}[1]{\allowbreak\mathchoice%
  {\if@display \mkern18mu\else \mkern8mu\fi (#1)}
  {\if@display \mkern18mu\else \mkern8mu\fi (#1)}
  {\mkern4mu (#1)}
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\title{On very large sets of numbers that are neither algebraic nor reducible to irrational algebraic}
\date{1851}
\author{Liouville, J.\thanks{%
    Translated by: John Demessemaeker, Bernardo Meurer}}

\begin{document}
\maketitle
\newpage

\paragraph{1.}
A long time ago, I gave a presentation about this subject at the Science
Academy. I also had two Notes inserted in volume XVIII of Comptes rendus
(pages 883 and 910; sessions of the 13th and 20th of May 1844). I believe these
two Notes need to be reproduced and completed here. The first Note is formulated
as the following:
\begin{displayquote}
	To give examples of continued fractions of which we can prove that their
	value is not at the root of any algebraic equation
	$$f(x)=ax^n + bx^{n-1} + \cdots + gx + h = 0$$
	$a, b, \ldots, g$ being integers, it is sufficient to recollect that
	$\frac{p_0}{q_0}$ and $\frac{p}{q}$, being two successive reductions of the
	continued fraction that expresses the development of an immeasurable $x$ of
	this equation, the incomplete quotient $\mu$, that comes after the reduction
	$\frac{p}{q}$, serves to form the next reduction, ends up (that results from
	a Lagrange formula, referencing the Memoires of Berlin, 1768) being, for
	very big $q$ values, constantly inferior to
	$$\pm\frac{df(p,q)}{qf(p,q)dp}$$
	essentially a positive expression where we assume
	$$f(p,q)=q^n f(\frac{p}{q}) = ap^n + bp^{n-1} q + \cdots + hq^n$$
	Given that the abstraction is made of signs, we have now, with more certainty,
	$$\mu < \frac{df(p,q)}{qdp}$$
	since $f(p, q)$ is an equal integer at least to the unity if we admit (what
	is allowed) that the equation
	$$f(x) = 0$$
	has been stripped of any measurable factor; $f(p,q) = 0$ would give, indeed,
	$$f(\frac{p}{q}) = 0$$
	Now represented by $f'(x)$ the differential of $f(x)$, the inequality above
	will become
	$$\mu < q^{n-2}f'(\frac{p}{q})$$
	However, $f'(\frac{p}{q})$ is a finite quantity going towards the limit
	$f'(x)$, like $\frac{p}{q}$ to the limit $x$. Designating with $A$ a certain
	fixed number,which is superior to this limit, we will be sure to have
	$$\mu < Aq^{n-2}$$

	Thereby, the incomplete quotients of a continued fraction representing the
	root $x$ of an algebraic equation of the degree $n$, in rational coefficients,
	are subject to never pass the product of a certain constant number by the
	force $(n-2)$\textsuperscript{nd} of the denominator of the previous
	reduction.

	It is sufficient to give the incomplete quotients $\mu$ a mode of formation
	that makes them grow beyond a predetermined term, to obtain continued
	fractions of which the value will not be able to satisfy any algebraic
	equation itself; it will happen, for example, that if, starting with any first
	incomplete quotient, we form every following $\mu$ with the help of the
	previous reduced $\frac{p}{q}$, according to the law $\mu = q^q$, or according
	to the law $\mu = q^m$, $m$  being the index of the $\mu$ row.

	Moreover, the previous method, which offered the first, is not the only nor
	is it the simplest that we can use. Let's add that there are also analogue
	theorems for ordinary series. In particular, we cite the series
	$$\frac{1}{l} + \frac{1}{l^{1 \cdot 2}} + \frac{1}{l^{1\cdot 2\cdot 3}}
		+ \cdots + \frac{1}{l^{1\cdot 2\cdot 3\cdots m}} + \cdots$$
	$l$ being a whole number.
\end{displayquote}

\paragraph{2.}
The second Note contains a new and more simple demonstration of the theorem to
which I was led by the Lagrange formula. The real power of our method, as we
will see, is independent of this formula.
\begin{displayquote}
	If $x, x_1, x_2, \ldots, x_{n-1}$ are the $n$ roots (the first real, the others real or
	imaginary) of the algebraic equation
	$$f(x) = ax^n + bx^{n-1} + \cdots + gx + h = 0$$
	which we can assume is irreducible, and where $a, b, \ldots, g, h$ are
	integers that are either positive, negative or zero, as we wish. Let's
	designate by $\frac{p_0}{q_0}$, $\frac{p}{q}$ two consecutive reductions of
	the continued fraction in which $x$ develops; and by $z$ the complete quotient
	that comes after, so we have
	$$\frac{p}{q} - x = \pm\frac{1}{q(qz + q_0)}$$
	Finally, stating
	$$f(p,q) = q^n f(\frac{p}{q}) = ap^n + bp^{n-1}q + \cdots + hq^n$$

	By the decomposition of $f(\frac{p}{q})$ in factors, with the help of the
	roots $x, x_1, \ldots, x_{n-1}$, we find
	$$\frac{p}{q} - x = \pm\frac{1}{q(qz+q_0)}
		= \frac{f(p,q)}{q^n\cdot a\left(\frac{p}{q}
			- x\right)\cdots\left(\frac{p}{q}-x_{n-1}\right)}$$
	However, in order to converge the reduction $\frac{p}{q}$ towards $x$, the
	quantity
	$$a\left(\frac{p}{q} - x_1\right)\cdots\left(\frac{p}{q} - x_{n-1}\right)$$
	also converges towards a finite limit,
	$$a(x-x_1)\cdots(x-x_{n-1})$$
	there is thus a certain maximum $A$ below which the limit will always remain.
	On the other hand, $f(p,q)$ is a whole number, at least equal to the unity,
	abstraction made of the sign. We have thus
	$$\frac{1}{q(qz+q_0)} > \frac{1}{Aq^n}$$
	of which
	$$z < Aq^{n-2} - \frac{q_0}{q} < Aq^{n-2}$$
	inequality subsists, even more so, when we substitute the complete $z$
	quotient of the integer part that it contains, namely the incomplete quotient
	$\mu$. The theorem we had in mind is hereby proved simply, without having to
	fall back on the Lagrange formula that we used earlier. We can, incidentally,
	apply a similar method to diverse development genres of which the irrational
	quantities are susceptible, and obtain that way interesting results.
\end{displayquote}

\paragraph{3.}
Let's add some developments to what preceded. Still regarding a real root $x$ of
the equation, irreducible and with whole coefficients,
$$f(x)=ax^n + bx^{n-1} + \cdots + gx + h = 0$$
which, if $n>1$, will also have these other roots $x_1, \ldots, x_{n-1}$,
essentially irrational or imaginary and different to $x$. But let's stop using,
to get closer and closer to $x$, reductions of continued fractions, and let's
use any fraction $\frac{p}{q}$. In doing so, as here above,
$$f(p,q) = ap^n + bp^{n-1} q + \cdots + hq^n$$
we will be sure, if $n>1$, that the absolute value of the integer $f(p,q)$ is
at least equal to the unity, and we can again use the equation
$$\frac{p}{q} - x = \frac{f(p, q)}{q^n\cdot a\left(\frac{p}{q} - x_1\right)
		\cdots\left(\frac{p}{q}- x_{n-1}\right)}$$
this consequence, by designating by $A$ a certain fixed number, we must have
(abstraction made of the sign) for all fractions $\frac{p}{q}$ which we now use,
$$\frac{p}{q} - x > \frac{1}{Aq^n}$$
But the case of $n=1$ has to be, in turn, examined closely. This case could not
be presented right away; because if we assume the continued fraction, in which
we developed $x$, made up of an infinite number of terms, we had irrational $x$
and $n > 1$. But here, still assuming infinite numbers of successive fractions
$\frac{p}{q}$ of which $x$ is the limit, we need to consider the case $n = 1$
as possible.

To deal with this case, whether
$$f(x) = ax + b = 0$$
or
$$\frac{p}{q} - x = \frac{ap + bq}{aq}$$
Should it be possible that the numerator $ap + bq$ were zero, we would not be
able to draw any conclusion. But if we have ensured it by any way that we never
have
$$ap + bq = 0$$
namely
$$x = \frac{p}{q}$$
we could then argue that we have
$$\frac{p}{q} - x > \frac{1}{aq}$$
or even
$$\frac{p}{q} - x > \frac{1}{Aq}$$
writing $A$ instead of $a$. The general formula
$$\frac{p}{q} - x > \frac{1}{Aq^n}$$
will thus subsist even in the case of $n=1$.

That being said, granting that the quantity $x$ as such, forming infinite
numbers of fractions $\frac{p}{q}$ going towards $x$, but of which none are
exactly equal to $x$, we end up recognizing that the inequality
$$\frac{p}{q} - x > \frac{1}{Aq^n}$$
does not always occur. It has to be concluded that $x$ cannot be the root of
an equation of the degree $n$. Let's also add that $x$ will not be root of any
equation of inferior degree $i$; because with
$$\frac{p}{q} - x > \frac{1}{Aq^n}$$
we will have, a fortiori,
$$\frac{p}{q} - x > \frac{1}{Aq^i}$$
for every exponent $i < n$. Therefore, having determined that the inequality
$$\frac{p}{q} - x > \frac{1}{Aq}$$
is in default, we will conclude that the value x is not rational. If the higher
inequality
$$\frac{p}{q} - x > \frac{1}{Aq^2}$$
is inadmissible, we will conclude that $x$ is not rational, nor even the root
of a second-degree equation; and so on. Finally, should it happen that the
inequality
$$\frac{p}{q} - x > \frac{1}{Aq^n}$$
generally takes place in default, any finite number we select for $n$, we will
be able to claim that $x$ is not even an algebraic irrational.

\paragraph{4.}
If, for example,
$$x = \frac{1}{l} + \frac{1}{l^{1 \cdot 2}} + \frac{1}{l^{1\cdot 2\cdot 3}}
	+ \cdots + \frac{1}{l^{1\cdot 2\cdot 3\cdots m}} + \cdots$$
$l$ being a whole number. Contributing to $\frac{p}{q}$ the rough value, but
essentially too small of $x$, that give the $m$'s the first terms of the series,
we will have
$$q = l^{1\cdot 2\cdots m}$$
and
$$x - \frac{p}{q} = \frac{1}{l^{1\cdot 2\cdots m(m + 1)}} + \cdots
	< \frac{2}{q^{m+1}}$$
If the exponent $m$ grows indefinitely, this last quantity decreases faster
than any fraction having a constant numerator and a proportionate denominator of
a given power of $q$, so that the inequality
$$\frac{p}{q} - x > \frac{1}{Aq^n}$$
always ends up being in default. From this, I conclude that $x$ is not rational,
nor even expressible by algebraic irrationals.

We will easily get to a similar conclusion for the much more general series
$$x = \frac{k_1}{l} + \frac{k_2}{l^{1\cdot 2}} + \frac{k_3}{l^{1\cdot 2\cdot 3}}
	+ \cdots + \frac{k_m}{l^{1\cdot 2\cdots m}} + \cdots$$
$k_1, k_2, k_3, \ldots, k_m, \ldots$ designating whole numbers, positive or
negative, of which the absolute value does not exceed a certain maximum $k$.
So if we take $l = 10$, and $k_1, k_2, \ldots$, freely, from $0$ until $9$,
we will form undefined decimal fractions of which the value will never be able
to expressed algebraically. I believe I remember that there is such a theorem,
in a letter from Goldbach to Euler; but I do not know whether its proof has
been provided.

Now let's say
$$x = \frac{1}{l} + \frac{1}{l^4} + \frac{1}{l^9} + \cdots + \frac{1}{l^{m^2}}
	+ \cdots$$
Still assuming for the rough value of $x$ the sum of the first $m$ terms of the
series, we will have
$$q = l^{m^2}$$
and
$$x - \frac{p}{q} = \frac{1}{l{(m + 1)}^2} + \cdots
	< \frac{2}{l^{2m+1}\cdot q}$$
This last quantity, the denominator containing the product of $q$ by $l^{2m+1}$
that grows with $m$, will end up decreasing faster than $\frac{1}{Aq}$. But the
only thing we can conclude from that is that $x$ is not rational.

As a new example, if
$$x = \frac{1}{l} + \frac{1}{l_1} + \frac{1}{l_2} + \cdots
	+ \frac{1}{l_{m-1}} + \cdots$$
$l$ being an integer, and every term has as a denominator the
$(n + 1)$\textsuperscript{th} power of the previous denominator, so that
$$l_m = l_{m-1}^{n+1}$$
It is obvious that $l_{m-1}$ will be a power of $l$, consequently, we will have
$$q = l_{m-1}$$
and
$$x - \frac{p}{q}=\frac{1}{l_m}+\cdots < \frac{2}{q^{n+1}}$$
$x$ will thus not be the root of any algebraic equation of a degree equal or
inferior to $n$.

We would also have other examples, considering the series
$$x = \frac{1}{l} + \frac{1}{u_1} + \frac{1}{u_1 l_2} + \cdots
	+ \frac{1}{u_1 l_2 \cdots l_{m-1}} + \cdots$$
where $l, l_1, l_2, \ldots, l_{m-1}, \ldots$ designate increasingly bigger whole
numbers. This circumstance where $l_m$ grows beyond any limit means that $x$
could no longer be rational. And if $l_m$ grows fast enough with the $m$ index,
we will be sure that $x$ is not even an algebraic irrational.

\paragraph{5.}
Finally, let us observe that, if we assume $a, b, \ldots, g, h$ as imaginary
and complex integers, then move towards a imaginary root $x$ of the equation
$$ax^n + bx^{n-1} + \cdots + gx + h = 0$$
with the help of fractions $\frac{p}{q}$ of which the two terms would also be
complex integers, we would again find the equation
$$\frac{p}{q} - x = \frac{f(p,q)}{q^n\cdot a\left(\frac{p}{q}
		- x_1\right)\cdots\left(\frac{p}{q}-x_{n-1}\right)}$$
and substituting the imaginary's modules, of which we would easily deduce
$$\mod\left(\frac{p}{q}- x\right) > \frac{1}{A\pmod{q}^n}$$
which allows to extend the results of the imaginaries that we just developed for
real quantities. This way, we recognize, for example, that, whichever be the
complex integer $l$, the sum of the series
$$\frac{1}{l} + \frac{1}{l^{1 \cdot 2}} + \frac{1}{l^{1\cdot 2\cdot 3}}
	+ \cdots + \frac{1}{l^{1\cdot 2\cdot 3\cdots m}} + \cdots$$
is never algebraically expressible.
\end{document}

redpajama_set_name: RedPajamaGithub


text:
ZERO MOTORCYCLES ANNOUNCE MASTER SECURITY SCHEME TO BE FITTED ACROSS RANGE
With around 26,000 motorcycles stolen in the UK each year theft is a major concern. So much so that Zero Motorcycles, the global leaderin the electric motorcycle indu stry and one of the most innovative brands to enter the market, has signed up to the Motorcycle Industry's recently launched MASTER Security Scheme.
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Zero joins top brands such as BMW, Honda, Yamaha, Suzuki, Kawasaki and Triumph who have already signed up to implement the MASTER scheme on their new for 2013 models.
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