Flashcards : Fundamentals of Numerical Sequences and Calculus — 24 cartes

Function from ℕ to ℝ representing a list of numbers.

Arithmetic and geometric sequences.

Constant difference between consecutive terms.

Constant ratio between consecutive terms.

Monotone and bounded sequences converge.

Terms approach a finite value as n→∞.

Represented by vector functions depending on a parameter.

Assigns a point on the curve for each parameter.

Instantaneous velocity in a curve.

Visualize data distribution in statistics.

Finds the best linear approximation to data points.

Produces a vector orthogonal to two vectors.

Anticommutative and orthogonal to original vectors.

Function from a probability space to ℝ.

Equal likelihood for all elementary outcomes.

Limit approaching from the left side of a point.

Limit approaching from the right side of a point.

Function whose derivative equals the original function.

First-order linear homogeneous: y' – m y = 0.

y = C e^{m x}.

Induction: initial case + inductive step.

Monotonicity and boundedness ensure convergence.

Left and right derivatives equal at a point.

Represents velocity and acceleration.