Explanation

• The trapezoidal rule is a numerical integration technique.
• It estimates the area under a curve using trapezoids.
• It is useful when an exact integral is difficult to calculate.

Last verified on 13-11-2026

Explanation

• Newton-Raphson is an iterative numerical method.
• It uses a function and its derivative to improve an approximation.
• It can provide accurate roots when a suitable initial value is chosen.

Last verified on 13-11-2026

Explanation

• An inner product measures relationships between vectors.
• It can be used to calculate vector lengths.
• It also helps determine angles between vectors.

Last verified on 13-11-2026

Explanation

• A Banach space is a complete normed vector space.
• Every Cauchy sequence in it converges to an element of the same space.
• Completeness is its defining property.

Last verified on 13-11-2026

Explanation

A norm gives a non-negative size to a vector.

The norm is zero only for the zero vector.

It represents the length of a vector in a vector space.

Last verified on 13-11-2026