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  • How do I square a logarithm? - Mathematics Stack Exchange
    $\log_2 (3) \approx 1 58496$ as you can easily verify $ (\log_2 (3))^2 \approx (1 58496)^2 \approx 2 51211$ $2 \log_2 (3) \approx 2 \cdot 1 58496 \approx 3 16992$ $2^ {\log_2 (3)} = 3$ Do any of those appear to be equal? (Whenever you are wondering whether some general algebraic relationship holds, it's a good idea to first try some simple numerical examples to see if it is even possible
  • Legendres three-square theorem - Mathematics Stack Exchange
    Legendre's three-square theorem Ask Question Asked 5 years, 4 months ago Modified 1 year, 10 months ago
  • What exactly IS a square root? - Mathematics Stack Exchange
    It's come to my attention that I don't actually understand what a square root really is (the operation) The only way I know of to take square roots (or nth root, for that matter) it to know the an
  • What is $\sqrt {i}$? - Mathematics Stack Exchange
    The square root of i is (1 + i) sqrt (2) [Try it out my multiplying it by itself ] It has no special notation beyond other complex numbers; in my discipline, at least, it comes up about half as often as the square root of 2 does --- that is, it isn't rare, but it arises only because of our prejudice for things which can be expressed using small integers
  • Finding Two Distinct Square Roots of I [closed]
    Finding Two Distinct Square Roots of I [closed] Ask Question Asked 1 year, 11 months ago Modified 1 year, 11 months ago
  • How do I get the square root of a complex number?
    The reason for preferring positive square roots of positive real numbers is practical For instance, the distance formula in any finite number of dimensions is a positive square root - namely, for two points, the distance apart is the square root of the sum of the squares of the respective differences of coordinates
  • Square Inches vs Inches Squared - Mathematics Stack Exchange
    An inch squared is a 1” x 1” square, not a linear one dimensional inch That’s why 12 inches squared is 12 square inches, whether 6x2, 3x4, or 12x1 Taken literally, 12 inches squared would simply be a linear 144” and in no way refer to area Then it would be written 12^2 inches, not 12”^2
  • Why get the sum of squares instead of the sum of absolute values?
    I'm self-studying machine learning and getting into the basics of linear regression models From what I understand so far, a good regression model minimizes the sum of the squared differences between
  • Continued fraction of a square root - Mathematics Stack Exchange
    A student of mine asked about the continued fraction of the square root of 22 and I suggested her to apply your solution She did and failed! In fact, I checked and realized that she did everything as you suggested Thus, the problem was with the method itself as described here The problem is that in the case of the square root of 5, the repetition appears very soon, thus the intermediate





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