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, $$ \sum_i a_{i0}^3 = 0 ~, \quad 3 \sum_i a_{i1}a_{i0}^2 = m ~, \quad 3 \sum_i a_{i0}a_{i1}^2 = 0 ~, \quad \sum_i a_{i1}^3 = 0 ~. $$
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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.
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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.
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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.
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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.
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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...
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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...
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    Navigating 21st Century: Transportation & Navigation

    80 years, is it. Sounds neat, but probably beyond my gait at the moment.
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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...
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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?
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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...
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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?
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