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One important use is in the analysis of control systems. One of the simplest characteristic units is the doubling time of a system experiencing exponential growth , or conversely the half-life of a system experiencing exponential decay ; a more natural pair of characteristic units is mean age/ mean lifetime , which correspond to base e rather ...
Scaling of Navier–Stokes equation refers to the process of selecting the proper spatial scales – for a certain type of flow – to be used in the non-dimensionalization of the equation. Since the resulting equations need to be dimensionless, a suitable combination of parameters and constants of the equations and flow (domain ...
Precision teaching is a precise and systematic method of evaluating instructional tactics and curricula. It is one of the few quantitative analyses of behavior forms of applied behavior analysis. It comes from a very strong quantitative scientific basis and was pioneered by Ogden Lindsley in the 1960s based largely on Skinner's operant ...
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
Dimensionless quantities, or quantities of dimension one, [1] are quantities implicitly defined in a manner that prevents their aggregation into units of measurement. [2] [3] Typically expressed as ratios that align with another system, these quantities do not necessitate explicitly defined units.
Chemical engineering, material science, mechanics (A scale to show the energy needed for detaching two solid particles) [13] [14] Cost of transport: COT = energy efficiency, economics (ratio of energy input to kinetic motion) Damping ratio
unitless 1: Stress: σ: Force per unit oriented surface area Pa L −1 M T −2: order 2 tensor Surface tension: γ: Energy change per unit change in surface area N/m or J/m 2: M T −2: Thermal conductance κ (or) λ: Measure for the ease with which an object conducts heat W/K L 2 M T −3 Θ −1: extensive Thermal conductivity: λ
A Mokken scale is a unidimensional scale that consists of hierarchically-ordered items that measure the same underlying, latent concept. This method is named after the political scientist Rob Mokken who suggested it in 1971. [1] Mokken Scales have been used in psychology, [2] education, [3] [4] political science, [1] [5] public opinion, [6 ...