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dimensionless
This term describes an absolute lack of spatial extension, often used in mathematics and physics to define an idealized point. It suggests a conceptual abstraction where length, width, and height are nonexistent, serving as a foundational building block for geometric proofs rather than a tangible physical object.
In scientific and engineering contexts, the word shifts toward a specific technical meaning regarding ratios. A dimensionless quantity is one where units cancel out, leaving a pure number that describes a relationship or a characteristic of a system regardless of the scale of measurement used.
Ý nghĩa
Ví dụ
In geometry, a point is considered a dimensionless object.
The Reynolds number is a dimensionless quantity used in fluid mechanics.
Is this constant dimensionless or does it have units of length?
The singularity at the center of a black hole is theoretically a dimensionless point of infinite density.
The singularity at the center of a black hole is theoretically a dimensionless point of infinite density.
We need to convert these parameters into a dimensionless form to simplify the equation.
Imagine a world that is completely dimensionless and void of all matter.
The ratio between the two masses results in a dimensionless value.
It feels as if I am floating in a dimensionless void where time does not exist.
The coefficient is dimensionless, so it does not change regardless of the system of units used.
The coefficient is dimensionless, so it does not change regardless of the system of units used.