Suchergebnisse
Suchergebnisse:
Vor 5 Tagen · As a component of the 4D Gauss' Theorem / Stokes' Theorem / Divergence Theorem. In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the
Vor 4 Tagen · In physics and mathematics, the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that any sufficiently smooth, rapidly decaying vector field in three dimensions can be resolved into the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field.
Vor 3 Tagen · The central limit theorem says that the number of heads is approximately normally distributed, with mean 100 100 and variance 50. 50. Two standard deviations above the mean is 100+2\sqrt {50} \approx 114.1. 100+2 50 ≈ 114.1. So this is nearly a 3-sigma event.
Vor 4 Tagen · A conjecture is a mathematical statement that has not yet been rigorously proved. Conjectures arise when one notices a pattern that holds true for many cases. However, just because a pattern holds true for many cases does not mean that the pattern will hold true for all cases.
Vor 5 Tagen · Jacob Bernoulli. A differential equation. y′ + p(x)y = g(x)yα, y ′ + p ( x) y = g ( x) y α, where α is a real number not equal to 0 or 1, is called a Bernoulli differential equation. It is named after Jacob (also known as James or Jacques) Bernoulli (1654--1705) who discussed it in 1695. Jacob Bernoulli was born in Basel, Switzerland.
Vor 5 Tagen · Theorem on Equal Ratios. If \dfrac {a_1} {b_1}=\dfrac {a_2} {b_2}=\dfrac {a_3} {b_3}=\dots =\dfrac {a_n} {b_n} b1a1 = b2a2 = b3a3 = ⋯ = bnan then, each ratio equals \dfrac {m_1a_1+m_2a_2+m_3a_3+\dots + m_na_n} {m_1b_1+m_2b_2+m_3b_3+\dots + m_nb_n} m1b1 +m2b2 +m3b3 + ⋯+mnbnm1a1 +m2a2 +m3a3 +⋯ +mnan for some constants m_i mi .
Vor 3 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.
