What Skills To Expect From A Plumber

byAlma Abell

Regardless of where you live, if you need a plumber in Gainesville, GA or any of the surrounding area, there is no doubt your problem’s are the same and the solutions are the same. The solution of course is a plumber. There are simple jobs that can be done by the handyman, things like a plugged drain that can be relieved with a plunger or replacing the washer in a faucet, but for anything more complex, it really is suggested that a plumber be called in. The plumber not only has the skills to fix the problem, he has the knowledge to determine the problem in the first place and the proper tools to get the job done.

The skills of a plumber in Gainesville, GA

Becoming a master plumber is a long process. The stages are apprenticeship, journeyman and final l, master. A master plumber will be licensed by the state in which he resides and works. The skills needed by a plumber, not only during his training, but for the duration of his career are:

[youtube]http://www.youtube.com/watch?v=vCD5NPS2Zj4[/youtube]

* Reading: a plumber is expected to know a great deal about plumbing codes, installation procedures for various systems, health and safety awareness and suppliers brochures. The science of water is also important as water with different properties has different effects on materials used.

* Use of documents: The ability to maintain daily notes and logs on the job progress, the study and understanding of drawings to find municipal connections for water sources and to identify and find existing piping and sewage installations.

* Numeracy: is important. The gauges and manufacturers standards and instructions must be followed, measuring and locating pipe connection positions, job estimates, adjusting work schedules, preparing daily work orders and invoices and calculating angles based on the pipe fitting being used.

* Oral communication: to talk to suppliers, communicate with other trades on a major site; communicate with the boss to receive assignments and talks with customers is all demands that the plumber must meet.

* Working with others: participate in discussions about work processes; demonstrate tasks to other workers, co-ordinate tasks on a multi-discipline work site and co-ordinate with customers.

* Thinking: to decide on priorities, clarification of issues with others, identify and rectify repairs often done by inexperienced homeowners and plan work schedules.

Continuous learning is very important to a plumber. In the trade there are always new materials, components and processes that the serious master plumber and his apprentices and journeymen will have to stay abreast of. It is a dynamic trade and to stay current is to stay employed.

If you are looking for a plumber in Gainesville, GA that can attend to all plumbing repairs including complete pipe replacement then you can hire services of Fortune Plumbing, where plumbing will not cost a fortune. Visit Fortuneplumbing.com.

Glasgow cannabis enthusiasts celebrate ‘green’ on city green

Tuesday, April 22, 2014

Coinciding with Easter Sunday, Glasgow Cannabis Social Club’s annual 420 event was held on Glasgow Green, under sunny blue skies, and overlooking the river Clyde. Despite the city’s council attempting to revoke permission for the gathering at the last minute, police were happy for it to go-ahead with approximately a dozen officers attending in high-visibility vests.

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The Daily Record reported five arrests were made for minor offences, likely smoking and possession of small quantities of cannabis. Taking a less-sensational — and more accurate — line of reporting, the Monday edition of Glasgow’s Evening News stated five were referred to the Procurator Fiscal who is responsible for deciding if charges should be brought.

Official figures provided by the police were that 150 attended. With people coming and going, Wikinews reporters estimated upwards of 200 attended, compared to nearly 700 who had signed up for the event on Facebook. Hemp goods were advertised and on sale at the event, and some attendees were seen drinking cannabis-themed energy drinks.

“I was searched and charged under the Misuse of Drugs Act (which is a lot of bollocks)” one attendee noted online, adding “not fair to happen on a brilliant day like it was, other than that I had a great day!” A second said they were openly smoking and ignored by police, who “were only really focusing on people who looked particularly young”.

Cannabis seeds were openly and legally sold at the event and a hydroponics supplier brought a motortrike towing an advertising trailer. Actually growing cannabis is, however, illegal in the UK.

With the event openly advocating the legalisation of cannabis, speakers put their arguments for this to a receptive crowd. Retired police officer James Duffy, of Law Enforcement Against Prohibition, spoke of the failed United States alcohol prohibition policy; stressing such policies needlessly bring people into contact with criminal elements. Highlighting other countries where legalisation has been implemented, he pointed out such led to lower crime, and lower drug use overall.

One speaker, who produced a bottle of cannabis oil he had received through the post, asserted this cured his prostate cancer. Others highlighted the current use of Sativex by the National Health Service, with a cost in-excess of £150 for a single bottle of GW Pharmaceuticals patented spray — as-compared to the oil shown to the crowd, with a manufacturing cost of approximately £10.

Similar ‘420’ pro-cannabis events were held globally.

Retrieved from “https://en.wikinews.org/w/index.php?title=Glasgow_cannabis_enthusiasts_celebrate_%27green%27_on_city_green&oldid=3759078”

University of Southern California spit test predicts cavities

Monday, February 21, 2005

Los Angeles, California —A simple saliva test can predict whether children will get cavities, how many cavities they will get and which teeth are most vulnerable.

Developed by researchers at the University of Southern California in Los Angeles, the test quantifies the genetic component of tooth decay, spotting the risk when something can be done about it.

“When we apply this to young children, it allows us to predict what might be their future caries history—the number of cavities that they’ll get by, say, their late 20s or early 30s,” says researcher Paul Denny.

Called the Caries Assessment and Risk Evaluation (CARE) test, the test measures the relative proportions in saliva of different types of sugar chains called oligosaccharides. The same sugar chains are present on tooth surfaces.

The effect of sugar chains on teeth’s resistance to disease is analogous to the effect of “good” and “bad” cholesterol on blood vessels. “Good” sugar chains tend to repel bacteria that cause cavities while “bad” allow bacteria to bond to teeth and start the decay process. Unlike cholesterol, however, sugar chain makeup in humans is 100% genetically determined.

Denny and colleagues have found that the sugar chain makeup in saliva can predict a child’s future cavity history to plus or minus one cavity with greater than 98% confidence.

The findings suggest that in developed areas of the modern era genes play a more significant role in tooth decay than in former times or third world nations where gross malnutrition and negligent oral hygiene held the greatest impact on dental health.

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Retrieved from “https://en.wikinews.org/w/index.php?title=University_of_Southern_California_spit_test_predicts_cavities&oldid=850592”

Toronto Comicon 2019 welcomes fans with celebrities, creativity, cosplay

Friday, March 29, 2019Toronto Comicon 2019 returned to its titular city from March 15 to 17, as one of the largest pop culture events in Canada. The popular event featured celebrity guests like actors Dan Fogler, Ron Perlman, John De Lancie, John Rhys-Davies, and Jaleel White, as well as comic artists, authors, and professional cosplayers. The event included a large show floor with hundreds of retailers and artists promoting their creations. Wikinews’ Nicholas Moreau attended the event, taking photos of the various sights.

John Rhys-Davies broke news when he revealed that a Sliders reboot is being considered. “Jerry [O’Connell] and I are talking to NBC at the moment. The basic problem is that no one knows who owns the rights”. Their legal department had apparently been looking into the matter for two months, as of the convention weekend. Emma Caufield talked of being cast in an NBC television pilot while a recurring guest actor on Buffy the Vampire Slayer. Faced with loosing the character of Anya Jenkins, the producers finally committed to making her a regular. “It was a good day,” she recalls.

Special effects costumer Ian Campbell, whose screen credits include Star Trek: Discovery, had a booth at the convention displaying his prop replicas and cosplay items. Amidst the bustle of activity, Campbell was working on a Thanos helmet sculpt. After the convention, he told Wikinews that “it can be tough to maintain focus with so many people streaming past and along questions, but sculpting in front of a crowd at conventions is great because it allows people to see the process that goes into what I do […] it also can serve as inspiration to other to pursue their own artistic endeavors.”

Lisa Mancini has been cosplaying for two years, her “passion” for the hobby “stemmed through my love for Halloween.” She typically chooses “to portray beloved characters from childhood or strong females. I also enjoy a good gender bent cosplay to ensure a touch of uniqueness!”

Mancini told Wikinews after the event that the best part of cosplay is “bringing a character to life.” One of the characters she took on this year was Squirrel Girl, a Marvel Comics character. Mancini has been described by the Daily Hive as a “squirrel whisperer”, for the close affinity some of the animals have for her.

Stephanie Chapman has knit a variety of knit outfits, an uncommon technique for cosplay. Prompted by Ron Perlman’s visit, she wore a costume based on Hellboy character Abe Sapien, which lacks the eyeholes of her normal masks. With “Abe, I wanted to go for accuracy over comfort,” Chapman told Wikinews, a choice leaving her largely helpless without a handler. The costume “is very warm […] so I have to stay hydrated and try to keep as calm as possible. It’s just really hard to stay calm when I meet someone like Ron Perlman”. With the combination of excitement and “the stress I’m putting on my body”, she shared that she was prone to meltdown in suit.

Retrieved from “https://en.wikinews.org/w/index.php?title=Toronto_Comicon_2019_welcomes_fans_with_celebrities,_creativity,_cosplay&oldid=4564834”

Australian researchers confirm stress makes you sick

Wednesday, December 7, 2005

Australian researchers say they have scientifically proven that stress causes sickness. The Garvan Institute in Sydney has discovered that a hormone, known as neuropeptide Y (NPY) is released into the body during times of stress. Their findings show the hormone can stop the immune system from functioning properly.

“Neuropeptide Y is one of those hormones that gets unregulated or released from neurones when stressful situations occur…it’s known for example that it regulates blood pressure and heart rates so your heart rate goes up but it hasn’t been known that it actually can affect immune cells as well,” said Professor Herbert Herzog, one of the researchers.

Herzog feels it is good to finally have proof of something people have suspected for so long.

“Now we have proven without doubt that there is a direct link and that stress can weaken the immune system and that makes you more vulnerable when you for example have a cold or flu and even in the more serious situations such as cancer can be enhanced in these situations,” said Herzog.

The Garvan Institute study centres on two key events that enable the human body to recognise foreign substances and control invaders. When our body encounters a pathogen (bacteria and viruses), the immune cells retain and interrogate suspects. Their activation is made possible by NPY. These cells then return to the lymph nodes, which are found all over the body, with information about the foreign invaders. The lymph nodes are where decisions about defence are made.

“Most of us expect to come down with a cold or other illness when we are under pressure, but until now we have mostly had circumstantial evidence for a link between the brain and the immune system,” said lead Garvan researcher, associate Professor Fabienne Mackay. “During periods of stress, nerves release a lot of NPY and it gets into the bloodstream, where it directly impacts on the cells in the immune system that look out for and destroy pathogens (bacteria and viruses) in the body.”

In the case of bacteria and viruses, TH1 cells are part of the attack team that is sent out on the ‘search and destroy’ mission. But when their job is done they need to be turned ‘off’ and the immune system reset. The same hormone, NPY, that activates the sentry cells now prompts the TH1 cells to slow down and die.

“Under normal conditions, circulating immune cells produce small amounts of NPY, which enables the immune cells on sentry duty and the TH1 immune cells to operate – it’s a yin and yang kind of situation. But too much NPY means that the TH1 attack is prevented despite the foreign invaders being identified – and this is what happens during stress,” added McKay.

The impact of stress on the body has been observed in athletes. Ph. D researcher at the University of Queensland, Luke Spence, together with the Australian Institute of Sport, studied elite and recreational athletes over five months.

They found elite athletes were more susceptible to respiratory diseases under stress.

“A lot of elite athletes put themselves through vast amounts of physical stress in their training, but also their emotional, psychological stress of feeling the pressure of Australia on their shoulders, wanting to compete and wanting to do their best,” said Spence.

It’s not just athletes who are prone to stress. Pressures at work and at home may cause emotional and mental stress that can be equally damaging. Almost a third of all work absenteeism in Australia is due to illness, costing employers over $10 billion a year.

“I think it has a huge impact for the work force and also for employers – if their employees are constantly stressed, constantly under pressure, they are more likely to get sick,” Spence said.

Further research could lead to the development of new drugs which may inhibit the action of the neuropeptide Y hormone.

Herzog warns people to minimise stress before it becomes a problem.

“Relaxation methods like yoga will help you to prevent that but there will still be people out there that are not responding to that and treatment by interfering with the system will be important,” he said. “There’s obviously some time until such a treatment will be available but this is something we will definitely work towards.”

The Garvan research will be published in the Journal of Experimental Medicine, Volume 202, No. 11.

Retrieved from “https://en.wikinews.org/w/index.php?title=Australian_researchers_confirm_stress_makes_you_sick&oldid=4565030”

Blow out sales prices likely on mattresses as new U.S. fire-resistant standards take effect

Wednesday, June 20, 2007

If you are in the market for new bedding, and not too concerned with the new United States guidelines for mattress fire resistance, now might be a good time to buy. Mattresses sold in the U.S. must meet new federal guidelines for flammability starting on July 1.

The peak heat release rate is limited to 200 kW during a 30 minute test. The total heat release is limited to 15 MJ within the first 10 minutes.”

The flammability of mattress sets sold in the U.S. is subject to a new mandatory federal regulation requirement passed by the Consumer Product Safety Commission (CPSC) on February 16 last year. The requirement, costing mattress manufacturers an estimated $100 million to meet, is scheduled to take effect on July 1. The commission anticipates that the new standards will save 270 lives and 1,330 injuries per year from mattress fires.

“We’ve passed a new open flame regulation and the whole idea behind the regulation is to make sure that if a mattress catches on fire that the fire burns slowly enough that people have enough time to get out of the house and get away,” said Hal Stratton, chairman of the CPSC

Radio and TV advertising spots are reacting to the new regulation by discounting prices on mattresses that fail to meet the new guidelines. Sales made in the mattress industry, like the automobile industry, are highly negotiable on price. The new regulation does not appear to have much “teeth” for mattresses already in the distribution pipeline, but it is a new law that is a bargaining position for potential buyers.

Retrieved from “https://en.wikinews.org/w/index.php?title=Blow_out_sales_prices_likely_on_mattresses_as_new_U.S._fire-resistant_standards_take_effect&oldid=724875”

Stockholm chief prosecutor quashes arrest warrant for Wikileaks editor-in-chief

Saturday, August 21, 2010

The arrest warrant issued for Wikileaks’ editor-in-chief Julian Assange has been quashed by Stockholm Chief Prosecutor Eva Finné, who said in a press release “I am of the opinion that there is no reason to suspect that he has committed a rape.” The press officer of the Swedish Prosecution Authority says that he is still suspected of molestation, and that neither police nor prosecutors have yet been able to contact Assange. Assange had this morning said that he was going to hand himself in to police but also said that the accusations against him were false. The investigation is continuing.

A warrant for Assange’s arrest was issued on Friday evening after the Stockholm police informed prosecutors that he had been accused of rape. According to Expressen’s sources two women between 20 and 30 years old are the alleged victims. Police and prosecutor Maria Häljebo Kjellstrand told Swedish news agency TT that the alleged molestation took place in Stockholm on the night of 13–14 August and the alleged rape happened “later” in Enköping. (Expressen’s sources say the alleged rape occurred on Tuesday.) Beyond that they have refused to comment. Sources told Expressen that the two women knew each other and “knew that they had been the victims of the same thing”. A source says that the women were afraid of Assange’s “position of power” and had been reluctant to make a formal report to the police. However, on Sunday one of his accusers was interviewed by Aftonbladet and denied that they were scared of Assange: “It is wrong to say that we were frightened of Assange and that we hadn’t wanted to report him for that reason. He’s not violent and I do not feel threatened by him.”

Assange was in Sweden last week to talk about his work and to defend Wikileaks’ publication of the Afghan War Diary, a set of tens of thousands of secret US military documents whose publication has angered the Pentagon and the Obama administration. He had also met Swedish Pirate Party leader Rickard Falkvinge and signed a deal in which the party agreed to provide Wikileaks with server space. The Pirate Party is continuing its cooperation with Wikileaks despite the allegations against Assange.

Assange has denied the allegations in e-mails to Swedish media and on Wikileaks’ Twitter feed, saying “the charges are without basis and their issue at this moment is deeply disturbing.” An official statement on the Wikileaks blog says: “We are deeply concerned about the seriousness of these allegations. We the people behind WikiLeaks think highly of Julian and he has our full support. While Julian is focusing on his defenses and clearing his name, WikiLeaks will be continuing its regular operations.”

Retrieved from “https://en.wikinews.org/w/index.php?title=Stockholm_chief_prosecutor_quashes_arrest_warrant_for_Wikileaks_editor-in-chief&oldid=2571240”

Color And Style: The New Look Of Islamic Clothing For Women

byAlma Abell

According to Islamic beliefs, everyone needs to pay attention to their appearance as well as their morality and soul. Apparel is to protect the body from elements and unmoral looks and to cover it for the same reasons. Overall, men and women must dress in a modest fashion. Traditional Islamic clothing for women reflects this standard. Modern female fashion does so, as well. The designers who create these fashions, however, also opt to work both color and style into the equation.

Color

The Qur’an does not implicitly refer to the necessity of wearing a specific color, although many do look to references to colors purportedly favored by Allah or those that are associated with modesty. As a result, it leaves it to local, regional of societal culture to help determine what is preferable. On the Arabian Peninsula, women have been wearing black for centuries. Other devout Muslims in Southeast Asia and western Africa have opted for bright colors. This is permitted and designers are increasingly discovering they can have a varied palette and still produce modest Islamic clothing for women.

Today, fashion designers utilize many different shades and hues. There are reds, whites, blues, pinks and purples. Some mix and match various diverse colors in the same design. Some use certain accepted earth tones in a novel fashion. As a result, some Islamic clothing is marvelously attractive while being modest.

Style

As in the instance of color, the Qur’an does not refer to a requirement for Islamic clothing for women to be in a definite style. This permits women to decide on what fashion they prefer. Designers create Islamic clothing for women in diverse styles to appeal to their own sense of self. Such adaptations of traditional apparel also speak to their faith.

One aspect of style that designers enjoy revitalizing is the sleeves. For the modern stylish abaya, sleeves no longer fall in the same straight lines. They may puff at the wrist or gather at the wrist creating a lengthy cuff. They may be solid in color striped or multi-colored.

Designers add fabric clasps, pouched pockets and belts. They create gathers and make seams obvious. Embroidery weaves its way into the designs of many an expensive ensemble. They use delicate V-necks and artfully drape fabric. In doing so, they combine creativity and traditional beliefs with contemporary renditions of older styles.

In the end, contemporary Islamic clothing for women reflects the Muslim requirement of modesty. It also adheres to three other principles: style, color and practicality.

British computer scientist’s new “nullity” idea provokes reaction from mathematicians

Monday, December 11, 2006

On December 7, BBC News reported a story about Dr James Anderson, a teacher in the Computer Science department at the University of Reading in the United Kingdom. In the report it was stated that Anderson had “solved a very important problem” that was 1200 years old, the problem of division by zero. According to the BBC, Anderson had created a new number, that he had named “nullity”, that lay outside of the real number line. Anderson terms this number a “transreal number”, and denotes it with the Greek letter ? {\displaystyle \Phi } . He had taught this number to pupils at Highdown School, in Emmer Green, Reading.

The BBC report provoked many reactions from mathematicians and others.

In reaction to the story, Mark C. Chu-Carroll, a computer scientist and researcher, posted a web log entry describing Anderson as an “idiot math teacher”, and describing the BBC’s story as “absolutely infuriating” and a story that “does an excellent job of demonstrating what total innumerate idiots reporters are”. Chu-Carroll stated that there was, in fact, no actual problem to be solved in the first place. “There is no number that meaningfully expresses the concept of what it means to divide by zero.”, he wrote, stating that all that Anderson had done was “assign a name to the concept of ‘not a number'”, something which was “not new” in that the IEEE floating-point standard, which describes how computers represent floating-point numbers, had included a concept of “not a number”, termed “NaN“, since 1985. Chu-Carroll further continued:

“Basically, he’s defined a non-solution to a non-problem. And by teaching it to his students, he’s doing them a great disservice. They’re going to leave his class believing that he’s a great genius who’s solved a supposed fundamental problem of math, and believing in this silly nullity thing as a valid mathematical concept.
“It’s not like there isn’t already enough stuff in basic math for kids to learn; there’s no excuse for taking advantage of a passive audience to shove this nonsense down their throats as an exercise in self-aggrandizement.
“To make matters worse, this idiot is a computer science professor! No one who’s studied CS should be able to get away with believing that re-inventing the concept of NaN is something noteworthy or profound; and no one who’s studied CS should think that defining meaningless values can somehow magically make invalid computations produce meaningful results. I’m ashamed for my field.”

There have been a wide range of other reactions from other people to the BBC news story. Comments range from the humorous and the ironic, such as the B1FF-style observation that “DIVIDION[sic] BY ZERO IS IMPOSSIBLE BECAUSE MY CALCULATOR SAYS SO AND IT IS THE TRUTH” and the Chuck Norris Fact that “Only Chuck Norris can divide by zero.” (to which another reader replied “Chuck Norris just looks at zero, and it divides itself.”); through vigourous defences of Dr Anderson, with several people quoting the lyrics to Ira Gershwin‘s song “They All Laughed (At Christopher Columbus)”; to detailed mathematical discussions of Anderson’s proposed axioms of transfinite numbers.

Several readers have commented that they consider this to have damaged the reputation of the Computer Science department, and even the reputation of the University of Reading as a whole. “By publishing his childish nonsense the BBC actively harms the reputation of Reading University.” wrote one reader. “Looking forward to seeing Reading University maths application plummit.” wrote another. “Ignore all research papers from the University of Reading.” wrote a third. “I’m not sure why you refer to Reading as a ‘university’. This is a place the BBC reports as closing down its physics department because it’s too hard. Lecturers at Reading should stick to folk dancing and knitting, leaving academic subjects to grown ups.” wrote a fourth. Steve Kramarsky lamented that Dr Anderson is not from the “University of ‘Rithmetic“.

Several readers criticised the journalists at the BBC who ran the story for not apparently contacting any mathematicians about Dr Anderson’s idea. “Journalists are meant to check facts, not just accept whatever they are told by a self-interested third party and publish it without question.” wrote one reader on the BBC’s web site. However, on Slashdot another reader countered “The report is from Berkshire local news. Berkshire! Do you really expect a local news team to have a maths specialist? Finding a newsworthy story in Berkshire probably isn’t that easy, so local journalists have to cover any piece of fluff that comes up. Your attitude to the journalist should be sympathy, not scorn.”

Ben Goldacre, author of the Bad Science column in The Guardian, wrote on his web log that “what is odd is a reporter, editor, producer, newsroom, team, cameraman, soundman, TV channel, web editor, web copy writer, and so on, all thinking it’s a good idea to cover a brilliant new scientific breakthrough whilst clearly knowing nothing about the context. Maths isn’t that hard, you could even make a call to a mathematician about it.”, continuing that “it’s all very well for the BBC to think they’re being balanced and clever getting Dr Anderson back in to answer queries about his theory on Tuesday, but that rather skips the issue, and shines the spotlight quite unfairly on him (he looks like a very alright bloke to me).”.

From reading comments on his own web log as well as elsewhere, Goldacre concluded that he thought that “a lot of people might feel it’s reporter Ben Moore, and the rest of his doubtless extensive team, the people who drove the story, who we’d want to see answering the questions from the mathematicians.”.

Andrej Bauer, a professional mathematician from Slovenia writing on the Bad Science web log, stated that “whoever reported on this failed to call a university professor to check whether it was really new. Any university professor would have told this reporter that there are many ways of dealing with division by zero, and that Mr. Anderson’s was just one of known ones.”

Ollie Williams, one of the BBC Radio Berkshire reporters who wrote the BBC story, initially stated that “It seems odd to me that his theory would get as far as television if it’s so easily blown out of the water by visitors to our site, so there must be something more to it.” and directly responded to criticisms of BBC journalism on several points on his web log.

He pointed out that people should remember that his target audience was local people in Berkshire with no mathematical knowledge, and that he was “not writing for a global audience of mathematicians”. “Some people have had a go at Dr Anderson for using simplified terminology too,” he continued, “but he knows we’re playing to a mainstream audience, and at the time we filmed him, he was showing his theory to a class of schoolchildren. Those circumstances were never going to breed an in-depth half-hour scientific discussion, and none of our regular readers would want that.”.

On the matter of fact checking, he replied that “if you only want us to report scientific news once it’s appeared, peer-reviewed, in a recognised journal, it’s going to be very dry, and it probably won’t be news.”, adding that “It’s not for the BBC to become a journal of mathematics — that’s the job of journals of mathematics. It’s for the BBC to provide lively science reporting that engages and involves people. And if you look at the original page, you’ll find a list as long as your arm of engaged and involved people.”.

Williams pointed out that “We did not present Dr Anderson’s theory as gospel, although with hindsight it could have been made clearer that this is very much a theory and by no means universally accepted. But we certainly weren’t shouting a mathematical revolution from the rooftops. Dr Anderson has, in one or two places, been chastised for coming to the media with his theory instead of his peers — a sure sign of a quack, boffin and/or crank according to one blogger. Actually, one of our reporters happened to meet him during a demonstration against the closure of the university’s physics department a couple of weeks ago, got chatting, and discovered Dr Anderson reckoned he was onto something. He certainly didn’t break the door down looking for media coverage.”.

Some commentators, at the BBC web page and at Slashdot, have attempted serious mathematical descriptions of what Anderson has done, and subjected it to analysis. One description was that Anderson has taken the field of real numbers and given it complete closure so that all six of the common arithmetic operators were surjective functions, resulting in “an object which is barely a commutative ring (with operators with tons of funky corner cases)” and no actual gain “in terms of new theorems or strong relation statements from the extra axioms he has to tack on”.

Jamie Sawyer, a mathematics undergraduate at the University of Warwick writing in the Warwick Maths Society discussion forum, describes what Anderson has done as deciding that R ? { ? ? , + ? } {\displaystyle \mathbb {R} \cup \lbrace -\infty ,+\infty \rbrace } , the so-called extended real number line, is “not good enough […] because of the wonderful issue of what 0 0 {\displaystyle {\frac {0}{0}}} is equal to” and therefore creating a number system R ? { ? ? , ? , + ? } {\displaystyle \mathbb {R} \cup \lbrace -\infty ,\Phi ,+\infty \rbrace } .

Andrej Bauer stated that Anderson’s axioms of transreal arithmetic “are far from being original. First, you can adjoin + ? {\displaystyle +\infty } and ? ? {\displaystyle -\infty } to obtain something called the extended real line. Then you can adjoin a bottom element to represent an undefined value. This is all standard and quite old. In fact, it is well known in domain theory, which deals with how to represent things we compute with, that adjoining just bottom to the reals is not a good idea. It is better to adjoin many so-called partial elements, which denote approximations to reals. Bottom is then just the trivial approximation which means something like ‘any real’ or ‘undefined real’.”

Commentators have pointed out that in the field of mathematical analysis, 0 0 {\displaystyle {\frac {0}{0}}} (which Anderson has defined axiomatically to be ? {\displaystyle \Phi } ) is the limit of several functions, each of which tends to a different value at its limit:

  • lim x ? 0 x 0 {\displaystyle \lim _{x\to 0}{\frac {x}{0}}} has two different limits, depending from whether x {\displaystyle x} approaches zero from a positive or from a negative direction.
  • lim x ? 0 0 x {\displaystyle \lim _{x\to 0}{\frac {0}{x}}} also has two different limits. (This is the argument that commentators gave. In fact, 0 x {\displaystyle {\frac {0}{x}}} has the value 0 {\displaystyle 0} for all x ? 0 {\displaystyle x\neq 0} , and thus only one limit. It is simply discontinuous for x = 0 {\displaystyle x=0} . However, that limit is different to the two limits for lim x ? 0 x 0 {\displaystyle \lim _{x\to 0}{\frac {x}{0}}} , supporting the commentators’ main point that the values of the various limits are all different.)
  • Whilst sin ? 0 = 0 {\displaystyle \sin 0=0} , the limit lim x ? 0 sin ? x x {\displaystyle \lim _{x\to 0}{\frac {\sin x}{x}}} can be shown to be 1, by expanding the sine function as an infinite Taylor series, dividing the series by x {\displaystyle x} , and then taking the limit of the result, which is 1.
  • Whilst 1 ? cos ? 0 = 0 {\displaystyle 1-\cos 0=0} , the limit lim x ? 0 1 ? cos ? x x {\displaystyle \lim _{x\to 0}{\frac {1-\cos x}{x}}} can be shown to be 0, by expanding the cosine function as an infinite Taylor series, dividing the series subtracted from 1 by x {\displaystyle x} , and then taking the limit of the result, which is 0.

Commentators have also noted l’Hôpital’s rule.

It has been pointed out that Anderson’s set of transreal numbers is not, unlike the set of real numbers, a mathematical field. Simon Tatham, author of PuTTY, stated that Anderson’s system “doesn’t even think about the field axioms: addition is no longer invertible, multiplication isn’t invertible on nullity or infinity (or zero, but that’s expected!). So if you’re working in the transreals or transrationals, you can’t do simple algebraic transformations such as cancelling x {\displaystyle x} and ? x {\displaystyle -x} when both occur in the same expression, because that transformation becomes invalid if x {\displaystyle x} is nullity or infinity. So even the simplest exercises of ordinary algebra spew off a constant stream of ‘unless x is nullity’ special cases which you have to deal with separately — in much the same way that the occasional division spews off an ‘unless x is zero’ special case, only much more often.”

Tatham stated that “It’s telling that this monstrosity has been dreamed up by a computer scientist: persistent error indicators and universal absorbing states can often be good computer science, but he’s stepped way outside his field of competence if he thinks that that also makes them good maths.”, continuing that Anderson has “also totally missed the point when he tries to compute things like 0 0 {\displaystyle 0^{0}} using his arithmetic. The reason why things like that are generally considered to be ill-defined is not because of a lack of facile ‘proofs’ showing them to have one value or another; it’s because of a surfeit of such ‘proofs’ all of which disagree! Adding another one does not (as he appears to believe) solve any problem at all.” (In other words: 0 0 {\displaystyle 0^{0}} is what is known in mathematical analysis as an indeterminate form.)

To many observers, it appears that Anderson has done nothing more than re-invent the idea of “NaN“, a special value that computers have been using in floating-point calculations to represent undefined results for over two decades. In the various international standards for computing, including the IEEE floating-point standard and IBM’s standard for decimal arithmetic, a division of any non-zero number by zero results in one of two special infinity values, “+Inf” or “-Inf”, the sign of the infinity determined by the signs of the two operands (Negative zero exists in floating-point representations.); and a division of zero by zero results in NaN.

Anderson himself denies that he has re-invented NaN, and in fact claims that there are problems with NaN that are not shared by nullity. According to Anderson, “mathematical arithmetic is sociologically invalid” and IEEE floating-point arithmetic, with NaN, is also faulty. In one of his papers on a “perspex machine” dealing with “The Axioms of Transreal Arithmetic” (Jamie Sawyer writes that he has “worries about something which appears to be named after a plastic” — “Perspex” being a trade name for polymethyl methacrylate in the U.K..) Anderson writes:

We cannot accept an arithmetic in which a number is not equal to itself (NaN != NaN), or in which there are three kinds of numbers: plain numbers, silent numbers, and signalling numbers; because, on writing such a number down, in daily discourse, we can not always distinguish which kind of number it is and, even if we adopt some notational convention to make the distinction clear, we cannot know how the signalling numbers are to be used in the absence of having the whole program and computer that computed them available. So whilst IEEE floating-point arithmetic is an improvement on real arithmetic, in so far as it is total, not partial, both arithmetics are invalid models of arithmetic.

In fact, the standard convention for distinguishing the two types of NaNs when writing them down can be seen in ISO/IEC 10967, another international standard for how computers deal with numbers, which uses “qNaN” for non-signalling (“quiet”) NaNs and “sNaN” for signalling NaNs. Anderson continues:

[NaN’s] semantics are not defined, except by a long list of special cases in the IEEE standard.

“In other words,” writes Scott Lamb, a BSc. in Computer Science from the University of Idaho, “they are defined, but he doesn’t like the definition.”.

The main difference between nullity and NaN, according to both Anderson and commentators, is that nullity compares equal to nullity, whereas NaN does not compare equal to NaN. Commentators have pointed out that in very short order this difference leads to contradictory results. They stated that it requires only a few lines of proof, for example, to demonstrate that in Anderson’s system of “transreal arithmetic” both 1 = 2 {\displaystyle 1=2} and 1 ? 2 {\displaystyle 1\neq 2} , after which, in one commentator’s words, one can “prove anything that you like”. In aiming to provide a complete system of arithmetic, by adding extra axioms defining the results of the division of zero by zero and of the consequent operations on that result, half as many again as the number of axioms of real-number arithmetic, Anderson has produced a self-contradictory system of arithmetic, in accordance with Gödel’s incompleteness theorems.

One reader-submitted comment appended to the BBC news article read “Step 1. Create solution 2. Create problem 3. PROFIT!”, an allusion to the business plan employed by the underpants gnomes of the comedy television series South Park. In fact, Anderson does plan to profit from nullity, having registered on the 27th of July, 2006 a private limited company named Transreal Computing Ltd, whose mission statement is “to develop hardware and software to bring you fast and safe computation that does not fail on division by zero” and to “promote education and training in transreal computing”. The company is currently “in the research and development phase prior to trading in hardware and software”.

In a presentation given to potential investors in his company at the ANGLE plc showcase on the 28th of November, 2006, held at the University of Reading, Anderson stated his aims for the company as being:

To investors, Anderson makes the following promises:

  • “I will help you develop a curriculum for transreal arithmetic if you want me to.”
  • “I will help you unify QED and gravitation if you want me to.”
  • “I will build a transreal supercomputer.”

He asks potential investors:

  • “How much would you pay to know that the engine in your ship, car, aeroplane, or heart pacemaker won’t just stop dead?”
  • “How much would you pay to know that your Government’s computer controlled military hardware won’t just stop or misfire?”

The current models of computer arithmetic are, in fact, already designed to allow programmers to write programs that will continue in the event of a division by zero. The IEEE’s Frequently Asked Questions document for the floating-point standard gives this reply to the question “Why doesn’t division by zero (or overflow, or underflow) stop the program or trigger an error?”:

“The [IEEE] 754 model encourages robust programs. It is intended not only for numerical analysts but also for spreadsheet users, database systems, or even coffee pots. The propagation rules for NaNs and infinities allow inconsequential exceptions to vanish. Similarly, gradual underflow maintains error properties over a precision’s range.
“When exceptional situations need attention, they can be examined immediately via traps or at a convenient time via status flags. Traps can be used to stop a program, but unrecoverable situations are extremely rare. Simply stopping a program is not an option for embedded systems or network agents. More often, traps log diagnostic information or substitute valid results.”

Simon Tatham stated that there is a basic problem with Anderson’s ideas, and thus with the idea of building a transreal supercomputer: “It’s a category error. The Anderson transrationals and transreals are theoretical algebraic structures, capable of representing arbitrarily big and arbitrarily precise numbers. So the question of their error-propagation semantics is totally meaningless: you don’t use them for down-and-dirty error-prone real computation, you use them for proving theorems. If you want to use this sort of thing in a computer, you have to think up some concrete representation of Anderson transfoos in bits and bytes, which will (if only by the limits of available memory) be unable to encompass the entire range of the structure. And the point at which you make this transition from theoretical abstract algebra to concrete bits and bytes is precisely where you should also be putting in error handling, because it’s where errors start to become possible. We define our theoretical algebraic structures to obey lots of axioms (like the field axioms, and total ordering) which make it possible to reason about them efficiently in the proving of theorems. We define our practical number representations in a computer to make it easy to detect errors. The Anderson transfoos are a consequence of fundamentally confusing the one with the other, and that by itself ought to be sufficient reason to hurl them aside with great force.”

Geomerics, a start-up company specializing in simulation software for physics and lighting and funded by ANGLE plc, had been asked to look into Anderson’s work by an unnamed client. Rich Wareham, a Senior Research and Development Engineer at Geomerics and a MEng. from the University of Cambridge, stated that Anderson’s system “might be a more interesting set of axioms for dealing with arithmetic exceptions but it isn’t the first attempt at just defining away the problem. Indeed it doesn’t fundamentally change anything. The reason computer programs crash when they divide by zero is not that the hardware can produce no result, merely that the programmer has not dealt with NaNs as they propagate through. Not dealing with nullities will similarly lead to program crashes.”

“Do the Anderson transrational semantics give any advantage over the IEEE ones?”, Wareham asked, answering “Well one assumes they have been thought out to be useful in themselves rather than to just propagate errors but I’m not sure that seeing a nullity pop out of your code would lead you to do anything other than what would happen if a NaN or Inf popped out, namely signal an error.”.

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Theresa May’s Conservative Party wins UK election but loses majority, leaving Brexit plan in question

Sunday, June 11, 2017

While Theresa May remains Prime Minister of Britain, her party, the Conservative Party, won Thursday’s general election but lost its majority in Parliament.

The next scheduled general election was not until 2020. May requested this general election, called a snap election, in April, when polls indicated it would strengthen the then-slight majority the Conservatives held in Parliament. Talks to establish the specifics of Britain’s departure from the European Union are set to begin June 19. Last year, British voters decided to leave the EU, but many of the specifics of the United Kingdom’s new relationship with the rest of Europe have yet to be established. May and the other Conservatives favor a “hard Brexit”, in which Britain would lose its current level of access to Europe’s single market and have to deal with higher tariffs and more complicated customs processes but it would regain full control of its borders with respect to trade and immigration. An increase in the number of Conservative Parliamentary seats would have supported this plan.

“Officially Theresa May is still the partner in Brexit negotiations,” said senior German MP Stephan Meyer, “but the political reality is different after this disastrous defeat. I can’t imagine that May will be able to remain prime minister.”

Jean-Claude Juncker of the European Commission said, “As far as the Commission is concerned we can open negotiations tomorrow morning at half past nine […] First we have to agree on the divorce and exit modalities, and then we have to envisage the architecture of our future relations. I do hope that the result of the elections will have no major impact on the negotiations we are desperately waiting for.”

A Parliamentary majority requires 326 of the organisation’s 650 seats. The Conservative Party holds 318 outright, including May’s own seat in Maidenhead, and the Labour Party holds 262, having gained about 30 in this election. In Britain, the leader of whichever political party has the most seats becomes Prime Minister, though they are also formally appointed by the monarch. Theresa May became leader of the Conservative Party on July 11 of last year and was appointed by Queen Elizabeth II two days later. Cases in which no political party wins outright are called a hung Parliament, and then two or more parties rule together in coalition. Britain had a coalition government from 2010 to 2015. Northern Ireland’s Democratic Unionist Party has pledged an unofficial alliance with the Conservatives, which would bring them up to 328.

This would make May the second Prime Minister in a row to call an election with unexpected results. David Cameron called for a referendum on Britain’s EU membership, not expecting the voters would reject it.

May’s current ministry said most of her senior officials, including Treasurer Philip Hammond, Foreign Secretary Boris Johnson, and Home Secretary Amber Rudd, will remain in the Cabinet.

May met with Queen Elizabeth II yesterday to request her permission to form a government in her name, a traditional formality.

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