Calculus

notation

function: $f (x)$
Limit: Last updated:2025-05-12 $\lim_{x \to ω} f (x) = ℒ$; $\lim_{x \to \infty} f (x) = ℒ$
Integral: $\int f (x) ⅆ x$; $\int_{𝒶}^{𝒷} f^{'} (x) ⅾ x = {f (x) |}_{𝒶}^{𝒷}$
Summation: $\sum_{κ = 𝓁}^{𝓊} (α 𝒶_{κ} + β 𝒷_{κ}) = α \sum_{κ = 𝓁}^{𝓊} 𝒶_{κ} + β \sum_{κ = 𝓁}^{𝓊} 𝒷_{κ}$
Sequence: ${𝒶_{n}}_{n = 0}^{\infty}$
Series: $\sum_{κ = 0}^{\infty} 𝒶_{κ}$
Power Series: $\sum_{κ = 0}^{\infty} 𝒸_{κ} {(𝓍 - 𝒶)}^{κ}$
Taylor Series: $\sum_{κ = 0}^{\infty} \frac{f^{(κ)} (x)}{κ!} {(𝓍 - 𝒶)}^{κ}$
New: Last updated:2025-05-12 $X$

Linear Algebra

notation

common symbols

exponential: ee — $ⅇ$
differential: dd — $ⅆ$
imaginary: ii — $ⅈ$
Special one: 𝟙 — $𝟙$; used as identity in linear algebra
Special zero: 𝟘 — $𝟘$; used as zero matrix in linear algebra; &porf; — $𝕡$; probability