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These Are Mathematical Sets

The following images look like animals, but they are not drawings. These are actually connected subsets of the plane. I have defined these sets by some families of circles which are related to trigonometric functions. In addition to the images in this post, you can see some images made by drawing …

Mathematics

Neil DeGrasse Tyson's best quotes may make you fall in love with science all over again

But deGrasse Tyson also has a serious side, which he reveals time and again in his books, shows, Twitter page, and popular science articles.<p>Often, deGrasse Tyson's humor strikes a serious chord that not only makes us laugh but also think. As a popular science educator, deGrasse Tyson is out to …

Middle School

Scientists Reviewing Data From Spacecraft Make Find ‘Like Nothing We’ve Ever Seen Before’ on Saturn’s Moon

Scientists reviewing infrared data from NASA’s Cassini spacecraft discovered a “monstrous” ice cloud on Saturn’s largest moon, the space agency announced Wednesday.<p>“When we looked at the infrared data, this ice cloud stood out like nothing we’ve ever seen before,” Carrie Anderson of NASA’s Goddard …

Astronomy

STI known as MG could have infected hundreds of thousands in UK

Study finds further evidence Mycoplasma genitalium, which has few symptoms, is sexually transmitted and may be present in 1% of adults under 45<p>A sexually transmitted infection could have infected hundreds of thousands of people in the UK, research suggests.<p><i>M</i><i>ycoplasma genitalium</i>, known as MG, has …

Public Health

Samsung Galaxy View is a big tablet for binge-watching (pictures)

Binge-Watching

Earth-like world could be 'most important planet found outside solar system'

GJ 1132b is close enough for telescopes to observe any atmosphere it might have, which could help scientists spot signs of life on other planets in the future<p>A rocky Earth-sized planet that circles a small, nearby star could be the most important world ever found beyond the solar system, …

Science

The 10 Exercises You Should Do Every Day to Stay Fit for Life

Of course, maintaining your long-term health requires more than just a regular exercise habit, but physical fitness is certainly a significant part of the equation.<p>However, beyond the more traditional notions of physical fitness -- running a marathon, boot camp style workouts sessions or extra …

Exercise

A 'huge milestone': approval of cancer-hunting virus signals new treatment era

Imlygic programs viruses to attack only cancer cells and gives patients more humane options – potentially ‘a complete change in the game’ in treatment<p>A new cancer treatment strategy is on the horizon that experts say could be a game-changer and spare patients the extreme side effects of existing …

Cancer

The Wrong Way to Legalize Marijuana?

Ohio may be on the brink of creating America’s first marijuana ‘monopoly.’<p>On the surface, Ian James sounds like any other idealistic marijuana advocate: He’s critical of the war on drugs, he touts the economic and tax benefits of legalization and uses the familiar rebuttal against the “think of the …

Cannabis

Sugar Is Definitely Toxic, a New Study Says

Fat was the food villain these past few decades but sugar is quickly muscling in to take its place. As rates of sugar-related disorders such as …

Diabetes

Google Android 6.0 Marshmallow review: more polished, greater control and longer battery life

Latest Android update is most refined yet, with powerful new Now on Tap features and extensive app permission control giving the power back to the users<p>The latest version of Android boosts battery life and adds new advanced search features making it Google’s most polished operating system …

Apps

What Is Kundalini Yoga?

In 1968 a Pakistani-born economics major named Harbhajan Singh Puri boarded a plane with a one-way ticket from Punjab, India to Toronto, Canada. …

'Minecraft: Story Mode's' adventures have familiar plots but characters worth rooting for

"Minecraft," the video game that can essentially be anything you want it to be, is everywhere.<p>Everywhere, that is, except in my home. It's on laptop computers, mobile phones and video game consoles, and it's in toy stores, bookstores and even baseball stadiums. A Chicago Cubs-branded spongy bat, …

The real reason germs spread in the winter

Flu season is a fact of life – but until recently, no one knew why. The answer hinges on the disgusting ways that germs pass between people.<p>It begins as surely as the leaves dropping off the trees. As the mercury drops and the sunlight fades, the sniffles set in. At best, it’s just a cold that …

Microbiology

The Ethics of Exercise Pills

Medications designed to mimic the health benefits of exercise could help the disabled or immobile—but they might also keep the rest of us on the couch.<p>In his 1932 novel <i>Brave New World</i>, Aldous Huxley described a fictional drug called Soma. In the novel, a soma was something akin to an opiate, which …

British Columbia

Astronomers take a closer look at 'megastructures' orbiting star near the Milky Way

A large cluster of objects in space look like something you would "expect an alien civilization to build", astronomers have said.<p>Jason Wright, an …

Penn State

Scientists explain how you can 'feel' electrical fields

Scientists have discovered a "sensor mechanism" that allows human cells to detect electrical fields.<p>While animals and even human cells have long been …

Biology

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This is because it was advertisement feature content that was published as part of a commercial deal and funded by an advertiser.<p>It is Guardian News and Media policy to take down paid-for content at the end of these deals.<p>Click here for more on our commercial content guidelines.<p>If you want to …

Exxon's Climate Change Cover-Up Is 'Unparalleled Evil,' Says Activist

Exxon Mobil's decision to hide research that confirmed fossil fuels' role in global warming for decades amounts to "unparalleled evil," environmentalist Bill McKibben said.<p>In an op-ed published Wednesday in The Guardian, the activist once called "the nation's leading environmentalist" said the oil …

Climate

The Pope Shows Congress How to Do Politics

In listening to the pope's address to Congress, I was initially most interested to hear what he would say about capitalism. Would he remind the U.S. …

The magic of cinema unlocked one man’s coma-bound world

An Alfred Hitchcock film helped to prove one patient had been conscious while in a coma-like state for 16 years. The discovery shows that neuroscience may still have lots to learn from the ancient art of storytelling, says Tom Stafford.<p>If brain injury steals your consciousness then you are in a …

The Brain

Do humans stand a chance in Earth’s sixth mass extinction?

Scientists recently suggested that the Earth’s sixth mass extinction has begun. As terrifying as that sounds, surely humans are too smart and too important to get wiped out? Paleontologists have long tried to shed light on this question by looking for general rules that might predict the survival …

Paleontology

5 signs you’re eating too little for your workout

Since the early 1970s the number of female athletes has grown by a whopping 560 percent among high school students and nearly one thousand percent among college students. This is fantastic news, of course: Athletics can lead to lifelong benefits in terms of girls’ (and women’s) health and …

Wellness

A Cultural History of the Fever

The fever phobia that parents experience is ancient and useful.<p>For most of human history, an unusually high body temperature was a sign of the supernatural. Fevers were sinister but common, unnatural but real. And without a theoretical underpinning by which to understand them, fevers long seemed to …

To This Day

The secrets of living to 200 years old

Ageing is not an inevitable fact of life – many animals have already found ways to delay death. Their clues might help us all enjoy longer and healthier lives.<p>Just 30 years after the publication of Moby Dick, a group of Alaskan whalers attempted to tame their own ocean giant. Their target was a …

Biology

14 No-Brainer Ways to Be Greener at Home

These everyday moves can help you waste less and save more.<p>These everyday moves can help you waste less and save more.

Personal Finance
Junior Hockey

How Meditation Can Help Anxiety

By Deepak Chopra, MDFear is a negative emotion unless you are facing an actual threat and need to fight or flee. The usefulness of fear is minimal in …

Mindfulness

This 15-Minute Morning Yoga Routine Wakes You Up Better Than Coffee

Ever wonder how every yoga instructor you meet has more energy than Jess on <i>New Girl</i>, even at a 7 a.m. class? Yeah, coffee (or green tea) may play a …

Yoga

Syrian refugees: Which countries welcome them, which ones don't

<b>(CNN) —</b> The expanding Syrian refugee crisis highlights the differences among countries that welcome desperate migrants and those that don't.<p>Some 4.1 million Syrians are fleeing a homeland riven by more than four years of civil war. Some countries have taken in so many migrants it's caused a …

Refugees