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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 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 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.
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 einem Tag · $$ \begin{eqnarray*} \tau(cb,\langle w,z\rangle_{\mathscr{U}_{\infty}}) &=& \tau(c,(\operatorname{\text{id}}\otimes \tau(S_{A}^{-1}(b_{(1)}^{*}),-)\otimes ...
