Telecommunication

What is wrt (with respect to)

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Jul 16, 2024 — 1 min read

wrt: With Respect To

wrt is an abbreviation for the phrase "with respect to". It's commonly used in mathematical, scientific, and technical contexts to indicate a reference point or basis for comparison.

Usage in Mathematics

In mathematics, wrt is frequently used in calculus, geometry, and other areas where relationships between variables are explored.

Differentiation: The derivative of a function f(x) wrt x is denoted as df/dx. This represents the rate of change of f(x) as x varies.
Integration: The integral of a function f(x) wrt x is denoted as ∫f(x)dx. This represents the area under the curve of f(x) between two given points.
Geometry: A line segment can be defined as the set of points equidistant from two given points wrt a given line.

Usage in Other Fields

Physics: Velocity can be defined as the rate of change of displacement wrt time.
Computer Science: In algorithms, the time complexity of an algorithm can be analyzed wrt the input size.
Statistics: Correlations between variables are often measured wrt each other.

Key Points

wrt is a concise way to express a relationship between two or more elements.
It clarifies the basis of comparison or reference.
It is particularly common in mathematical and scientific writing.

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