Hint: remember that any triangle inscribed within a circle, where the longest side of the triangle is the circle's diameter, is going to be a right triangle.
#math #maths #mathematics #geometry
So I have posted another picture proving the link between 30° and 50° to show that it cannot be otherwise.
Such a use of the technology is unnecessary and undesirable, said campaign leader Dr Kathleen Richardson. It will have the effect of "reducing all women to men," she said, when men can have drama-free sex whenever they please and won't have to change their lifestyles or barter material goods in exchange for intimacy with women. "A world without sexually frustrated men willing to sell their souls would be bad news for women everywhere," she continued.
Dr Richardson, a robot ethicist at De Montfort University in Leicester, wants to raise awareness of the issue and persuade those developing sex robots to rethink how their technology is used. She fears that men might even start to not put up with tantrums and spending sprees in exchange for sexual gratification anymore if these fembots are allowed to exist. "It would be worse than legalizing prostitution," she added.
Seismology is the study of vibrations and waves through the Earth’s interior. By studying how vibrations are transmitted through the Earth we can study the structure of the Earth as a whole. Similar methods have been applied to the Sun, known as helioseismology, and through it we have an understanding of things such as the temperature and pressure of the Sun’s core. We’ve also been able to study some stars in this way (asteroseismology) from which we can determine things like a star’s age. While it’s a powerful tool, seismology methods pose a challenge for gas planets. But because Saturn has a complex ring system, its vibrations can be measured indirectly. The process is known as Kronoseismology.
If Saturn were a static mass, then the motion chunks of rock and ice that make up its rings would depend largely on the gravitational interactions between each other. But because Saturn is vibrating its gravitational field oscillates, and this induces wave patterns within Saturn’s rings. These patterns are subtle and difficult to observe, but in recent years we’ve been able to watch these changing patterns.
The patterns are measured using the Cassini spacecraft orbiting Saturn. As Cassini orbits Saturn, it’s view of background stars are often occulted by the rings of Saturn. By observing a star as the rings pass in front of it, we can gather information how thick the rings are in a particular area. This is what a team did for Saturn’s C-ring. From the data they were able to deduce 6 wave patterns that oscillated too quickly to be caused by the gravitational tug of a Saturnian moon. Instead they are caused by the oscillations of Saturn itself.
From this data, the team was able to verify that our model of Saturn’s interior is relatively accurate, though further analysis of these patterns will help us refine the model.
Paper: M. M. Hedman and P. D. Nicholson. Kronoseismology: Using density waves in Saturn’s C ring to probe the planet’s interior. The Astronomical Journal, 146:12 (16pp), 2013.
Yogi Berra, one of baseball’s greatest catchers and characters, who as a player was a mainstay of 10 Yankee championship teams and as a manager led both the Yankees and Mets to the World Series — but who may be more widely known as an ungainly but lovable cultural figure, inspiring a cartoon character and issuing a seemingly limitless supply of unwittingly witty epigrams known as Yogi-isms — died on Tuesday. He was 90. Click through for a more in-depth biography. Here are some of his famous quotes:
On getting enough rest:
“I usually take a two-hour nap from one to four.”
On "fan" mail:
“Never answer an anonymous letter.”
“I’m not going to buy my kids an encyclopedia. Let them walk to school like I did.”
“You can observe a lot by watching.”
On the future:
“The future ain’t what it used to be.”
“If you don’t know where you are going, you might wind up someplace else.”
“Why buy good luggage, you only use it when you travel.”
“The towels were so thick there I could hardly close my suitcase.”
“When you come to a fork in the road, take it.”
On social life:
"Nobody goes there anymore, it's too crowded."
“It gets late early out here.”
On youth sports:
“I think Little League is wonderful. It keeps the kids out of the house.”
On the human anatomy:
“I don’t know (if they were male or female) fans running naked across the field). They had bags over their heads.”
On receiving advice:
“Take it with a grin of salt.”
“It ain’t the heat, it’s the humility.”
“A nickel ain’t worth a dime anymore.”
“In baseball, you don’t know nothing.”
“We made too many wrong mistakes.”
“So I’m ugly. I never saw anyone hit with his face.”
“If the people don’t want to come out to the ballpark, nobody’s going to stop them.”
“Baseball is 90 percent mental. The other half is physical.”
“All pitchers are liars or crybabies.”
“We were overwhelming underdogs.”
“Bill Dickey is learning me his experience.”
“He hits from both sides of the plate. He’s amphibious.”
“I always thought that record would stand until it was broken.”
“I can see how he (Sandy Koufax) won 25 games. What I don’t understand is how he lost five.”
“I want to thank everyone for making this night necessary.”
On being thought of as a philosopher:
"I didn't really say everything I said."
The planetary exploration expert was even asked to give notes on the script. One example relates to the crux to the whole movie. In The Martian, Watney is stranded when he’s hit with debris during a violent dust storm on Mars. His monitor is broken, he’s presumed dead, and his team leaves. However, Green explained that Mars’ planetary conditions don’t allow dust storms to get violent enough for that kind of destruction. Since the novel was published, though, NASA has learned some Martian storms do get upwards of 30km high and can include powerful fits of lightning. Green suggested, if the film wanted to be more scientifically accurate, lightning could cause the debris.
In the finished film, the filmmakers did put some lightning into the background of the scene, but Watney’s separation from the group still happens unscientifically, when he’s hit with a broken satellite. “It’s a movie,” said Green. “For my science friends, I say ‘Check the science at the door, go in and have a great time’.”
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