Math action like drill and practice help a kid increasing great mental number aptitudes. In addition, if the training is done regularly through playing around, youngsters effectively get acquainted with numbers.
More from Arthouse-Kuklite
More from Math
Ok, it's time for a #FUNctionalAnalysis thread! Let's talk about Hilbert spaces. (I hope you like linear algebra, because that's what we're
If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.
When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.
You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)
As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n
— syzygay (@syzygay1) August 9, 2020
If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.
When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.
You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)
As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n
You May Also Like
1/x Fort Detrick History
Mr. Patrick, one of the chief scientists at the Army Biological Warfare Laboratories at Fort Detrick in Frederick, Md., held five classified US patents for the process of weaponizing anthrax.
2/x
Under Mr. Patrick’s direction, scientists at Fort Detrick developed a tularemia agent that, if disseminated by airplane, could cause casualties & sickness over 1000s mi². In a 10,000 mi² range, it had 90% casualty rate & 50% fatality rate
3/x His team explored Q fever, plague, & Venezuelan equine encephalitis, testing more than 20 anthrax strains to discern most lethal variety. Fort Detrick scientists used aerosol spray systems inside fountain pens, walking sticks, light bulbs, & even in 1953 Mercury exhaust pipes
4/x After retiring in 1986, Mr. Patrick remained one of the world’s foremost specialists on biological warfare & was a consultant to the CIA, FBI, & US military. He debriefed Soviet defector Ken Alibek, the deputy chief of the Soviet biowarfare program
https://t.co/sHqSaTSqtB
5/x Back in Time
In 1949 the Army created a small team of chemists at "Camp Detrick" called Special Operations Division. Its assignment was to find military uses for toxic bacteria. The coercive use of toxins was a new field, which fascinated Allen Dulles, later head of the CIA
Mr. Patrick, one of the chief scientists at the Army Biological Warfare Laboratories at Fort Detrick in Frederick, Md., held five classified US patents for the process of weaponizing anthrax.
2/x
Under Mr. Patrick’s direction, scientists at Fort Detrick developed a tularemia agent that, if disseminated by airplane, could cause casualties & sickness over 1000s mi². In a 10,000 mi² range, it had 90% casualty rate & 50% fatality rate
3/x His team explored Q fever, plague, & Venezuelan equine encephalitis, testing more than 20 anthrax strains to discern most lethal variety. Fort Detrick scientists used aerosol spray systems inside fountain pens, walking sticks, light bulbs, & even in 1953 Mercury exhaust pipes
4/x After retiring in 1986, Mr. Patrick remained one of the world’s foremost specialists on biological warfare & was a consultant to the CIA, FBI, & US military. He debriefed Soviet defector Ken Alibek, the deputy chief of the Soviet biowarfare program
https://t.co/sHqSaTSqtB
5/x Back in Time
In 1949 the Army created a small team of chemists at "Camp Detrick" called Special Operations Division. Its assignment was to find military uses for toxic bacteria. The coercive use of toxins was a new field, which fascinated Allen Dulles, later head of the CIA
✨📱 iOS 12.1 📱✨
🗓 Release date: October 30, 2018
📝 New Emojis: 158
https://t.co/bx8XjhiCiB
New in iOS 12.1: 🥰 Smiling Face With 3 Hearts https://t.co/6eajdvueip
New in iOS 12.1: 🥵 Hot Face https://t.co/jhTv1elltB
New in iOS 12.1: 🥶 Cold Face https://t.co/EIjyl6yZrF
New in iOS 12.1: 🥳 Partying Face https://t.co/p8FDNEQ3LJ
🗓 Release date: October 30, 2018
📝 New Emojis: 158
https://t.co/bx8XjhiCiB
New in iOS 12.1: 🥰 Smiling Face With 3 Hearts https://t.co/6eajdvueip
New in iOS 12.1: 🥵 Hot Face https://t.co/jhTv1elltB
New in iOS 12.1: 🥶 Cold Face https://t.co/EIjyl6yZrF
New in iOS 12.1: 🥳 Partying Face https://t.co/p8FDNEQ3LJ
1/OK, data mystery time.
This New York Times feature shows China with a Gini Index of less than 30, which would make it more equal than Canada, France, or the Netherlands. https://t.co/g3Sv6DZTDE
That's weird. Income inequality in China is legendary.
Let's check this number.
2/The New York Times cites the World Bank's recent report, "Fair Progress? Economic Mobility across Generations Around the World".
The report is available here:
3/The World Bank report has a graph in which it appears to show the same value for China's Gini - under 0.3.
The graph cites the World Development Indicators as its source for the income inequality data.
4/The World Development Indicators are available at the World Bank's website.
Here's the Gini index: https://t.co/MvylQzpX6A
It looks as if the latest estimate for China's Gini is 42.2.
That estimate is from 2012.
5/A Gini of 42.2 would put China in the same neighborhood as the U.S., whose Gini was estimated at 41 in 2013.
I can't find the <30 number anywhere. The only other estimate in the tables for China is from 2008, when it was estimated at 42.8.
This New York Times feature shows China with a Gini Index of less than 30, which would make it more equal than Canada, France, or the Netherlands. https://t.co/g3Sv6DZTDE
That's weird. Income inequality in China is legendary.
Let's check this number.
2/The New York Times cites the World Bank's recent report, "Fair Progress? Economic Mobility across Generations Around the World".
The report is available here:
3/The World Bank report has a graph in which it appears to show the same value for China's Gini - under 0.3.
The graph cites the World Development Indicators as its source for the income inequality data.
4/The World Development Indicators are available at the World Bank's website.
Here's the Gini index: https://t.co/MvylQzpX6A
It looks as if the latest estimate for China's Gini is 42.2.
That estimate is from 2012.
5/A Gini of 42.2 would put China in the same neighborhood as the U.S., whose Gini was estimated at 41 in 2013.
I can't find the <30 number anywhere. The only other estimate in the tables for China is from 2008, when it was estimated at 42.8.