notifications

Real Analysis

Wikipedia

Uniform Continuity

Wikipedia nLab

Riemann Integral

Wikipedia[u, v] ≤ E, g : [u, v] → R,(a ≤ g(t) ≤ b) → a (v − u)I[u, v] g ≤ b (v − u).[a, b] ≤ E, g : [u, v] → R,(a ≤ c ≤ b)I[a, c](g) + I[c, b](g) = I[a, b](g).g(x) (x − x)I[x, x](g) ≤ g(x) (x − x) or I[x, x](g) = 0.I[a, b](g) = −I[b, a](g).

Lebesgue Integration

Wikipedia

Stone–Weierstrass Theorem

Norm

Wikipedia nLaba, b : L(F), c : F,p(a + b) ≤ p(a) + p(b) (subadditive, triangle inequality).p(c a) = |c| p(a) (absolutely homogeneous).(p(a) = 0)(a = 0) (positive definite or point-separating).

Sequence

Wikipedia

Recurrence Relation

References