Recent content by Gear300
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Challenge Math Challenge - July 2023
Ah that's right, ##\sum_i a_{i0}^3 = 0## should hold 😅. Using only first order polynomials, there are four equations, $$ \sum_i a_{i0}^3 = 0 ~, \quad 3 \sum_i a_{i1}a_{i0}^2 = m ~, \quad 3 \sum_i a_{i0}a_{i1}^2 = 0 ~, \quad \sum_i a_{i1}^3 = 0 ~. $$- Gear300
- Post #28
- Forum: Math Proof Training and Practice
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Challenge Math Challenge - July 2023
Not to leave it hanging. ##p_1, p_2, p_3## such that ##a_{10}=a_{20}=a_{30}=1## and ##a_{11}=a_{12}=1##, ##a_{13}=-1## should work.- Gear300
- Post #23
- Forum: Math Proof Training and Practice
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Navigating 21st Century: Transportation & Navigation
Thus space sports. Although as far as space is concerned, I was wondering whether or not telling "junior" to study nuclear plasma physics for the future of space jet fuel would be the right thing.- Gear300
- Post #12
- Forum: General Discussion
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Is it possible for people to mentally focus on more than one thing at a time?
My guess is that your answer is "yes, it is possible to multitask." Maybe I'll have the vision thing figured out one day.- Gear300
- Post #6
- Forum: General Discussion
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Is it possible for people to mentally focus on more than one thing at a time?
Lol, I haven't determined that yet. Vision as well? I figured musicians could handle an ensemble of sounds, but also drawing artists? Sounds neat. Well thanks for the answers.- Gear300
- Post #4
- Forum: General Discussion
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Is it possible for people to mentally focus on more than one thing at a time?
People cannot visually focus on more than one thing without going cross-eyed. Is the same true for mentally concentrating on multiple tasks? Like reading and listening to two different things at the same time when studying? Is there a trick that choreographers or performance artists know? Or...- Gear300
- Thread
- Replies: 10
- Forum: General Discussion
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Navigating 21st Century: Transportation & Navigation
I figured a lot of the shift to EVs is green financing, i.e. a momentary bridge between today and future technologies, despite their imperfections. Although I am unawares of the actual financial solutions involved (and of course the politics). I got the impression that many solutions for...- Gear300
- Post #9
- Forum: General Discussion
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Navigating 21st Century: Transportation & Navigation
80 years, is it. Sounds neat, but probably beyond my gait at the moment.- Gear300
- Post #5
- Forum: General Discussion
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Navigating 21st Century: Transportation & Navigation
Dang.- Gear300
- Post #3
- Forum: General Discussion
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Navigating 21st Century: Transportation & Navigation
It was after listening to podcasts on Freeman Dyson two or three years ago that I was convinced that our best bet at Earth-Moon navigating was somewhere along the lines of a nuclear-chemical pulsed transmission. And I guess the subject matter leads itself into plasma physics somehow. (Funny...- Gear300
- Thread
- Plasma physics
- Replies: 14
- Forum: General Discussion
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Teach Kids 'Financial Responsibility' Not Debt
I take it that the relative value of any currency is prorated by the country's gross national product GNP?- Gear300
- Post #5
- Forum: General Discussion
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Teach Kids 'Financial Responsibility' Not Debt
"As good as gold." - Charles Dickens "You cannot teach debt to children." - anon So I read not too long ago a bit on the debate on returning to the gold standard during the Reagan administration and the issuing of gold bonds by the Treasury. Then I began questioning the nature of the gold...- Gear300
- Thread
- Gold
- Replies: 30
- Forum: General Discussion
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History Why Did Ancient Greeks Excel in Sculpture but Not in 2D Perspective Art?
Lol, none so far 😅. Maybe another forum.- Gear300
- Post #3
- Forum: Art, Music, History, and Linguistics
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History Why Did Ancient Greeks Excel in Sculpture but Not in 2D Perspective Art?
How is it that the early Greeks and Romans had such well-sculpted statues of human figures, but not so well-drawn people on canvas or other 2D surfaces?- Gear300
- Thread
- Art Perspective
- Replies: 13
- Forum: Art, Music, History, and Linguistics