boyutsuz

Boyutsuz is a Turkish adjective meaning “without dimensions” and is used in mathematics and the physical sciences to describe quantities that do not have physical units. A dimensionless quantity is often the result of taking a ratio of measurements with the same dimension or of normalizing a quantity by a characteristic scale. In Turkish texts, such quantities are described as boyutsuz, or as having boyutsuzluk (dimensionlessness).

Etymology: the word is formed from boyut (dimension, size) plus the negating suffix -suz (without). The concept corresponds to the English term dimensionless and is used in Turkish as expressions such as boyutsuz büyüklük or boyutsuz sabit for a dimensionless quantity or constant.

Usage and examples: common examples include mathematical constants like π (pi) and e, and angle measures in radians, which are considered dimensionless. In engineering and physics, many nondimensional numbers arise from ratios, such as the Reynolds number, the Froude number, and the Mach number. In analysis, dimensional consistency is checked by replacing quantities with their dimensionless forms, a process tied to dimensional analysis.

Notes: in Turkish, boyutsuz is primarily a scientific term, and in general language the English loanword dimensionless or Turkish phrases like boyutsuzluk are used depending on context. See also: dimensional analysis, dimensionless number, unitless quantity.