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Vor 3 Tagen · The Prime Number Theorem turns out to be equivalent to the statement that there are no zeroes on the edge of the strip, the line \(\text{Re}(s) = 1.\) In fact, computational evidence suggests that all the zeroes lie in the center of the strip, \(\text{Re}(s) = 1/2;\) and this is the famous Riemann hypothesis .
Vor 4 Tagen · Der Satz des Pythagoras (auch Hypotenusensatz) [1] ist einer der fundamentalen Sätze der euklidischen Geometrie. Er besagt, dass in allen ebenen rechtwinkligen Dreiecken die Summe der Flächeninhalte der Kathetenquadrate gleich dem Flächeninhalt des Hypotenusenquadrates ist.
Vor einem Tag · Repeatedly apply L'Hôpital's rule until the exponent is zero (if n is an integer) or negative (if n is fractional) to conclude that the limit is zero. Here is an example involving the indeterminate form 0 · ∞ (see below), which is rewritten as the form ∞ / ∞ :
Vor einem Tag · An illustration of Newton's method. In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real -valued function.
Vor 5 Tagen · Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
- The Editors of Encyclopaedia Britannica
Vor einem Tag · In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through a closed surface to the divergence of the field in the volume enclosed.
Vor 2 Tagen · The theorem is often used to help factorize polynomials without the use of long division. Especially when combined with the rational root theorem, this gives us a powerful tool to factor polynomials. Remainder Theorem: For a polynomial f (x) f (x), the remainder of f (x) f (x) upon division by x-c x− c is f (c) f (c) . Factor Theorem:
