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Scientists reinvent equations governing formation of snowflakes, raindrops and Saturn's ringsTo describe aggregating particle behavior in the actual atmosphere, in orbit, or at industrial facilities, one has to merge the Smoluchowski equations with the Euler equations or, more generally ...
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Taking a leap of faith into imaginary numbers opens new doors in the real world through complex analysisEven Leonhard Euler, one of the greatest mathematicians, supposedly computed √(-2) √(-3) as √6. The correct answer is -√6. In high school, you may have encountered the quadratic formula, which gives ...
Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new ...
The four stamps, issued by China Post, each depict pi the mathematical constant, the Pythagorean theorem, Euler's formula and the Mobius strip. China Post has also developed several games that require ...
Instead of memorizing several complicated trig formulas, you need only one equation to rule them all: Euler’s 1740 formula. With decent algebra skills, you can manipulate Euler’s formula to ...
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