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In addition to determining the stability of the system, the root locus can be used to design the damping ratio and natural frequency (ω n) of a feedback system. Lines of constant damping ratio can be drawn radially from the origin and lines of constant natural frequency can be drawn as arccosine whose center points coincide with the origin.
Stable isotope ratio analysis also has applications in doping control, to distinguish between endogenous and exogenous sources of hormones. [18] [19] The accurate measurement of stable isotope ratios relies on proper procedures of analysis, sample preparation and storage. [20] Chondrite meteorites are classified using the oxygen isotope ratios.
Slope stability analysis is a static or dynamic, ... The output of the analysis is a factor of safety, defined as the ratio of the shear strength (or, alternatively ...
Archaeological materials, such as bone, organic residues, hair, or sea shells, can serve as substrates for isotopic analysis. Carbon, nitrogen and zinc isotope ratios are used to investigate the diets of past people; these isotopic systems can be used with others, such as strontium or oxygen, to answer questions about population movements and cultural interactions, such as trade.
The stability of a slope is essentially controlled by the ratio between the available shear strength and the acting shear stress, which can be expressed in terms of a safety factor if these quantities are integrated over a potential (or actual) sliding surface. A slope can be globally stable if the safety factor, computed along any potential ...
The stability of numerical schemes can be investigated by performing von Neumann stability analysis. For time-dependent problems, stability guarantees that the numerical method produces a bounded solution whenever the solution of the exact differential equation is bounded.
In the mathematical subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms. The precise definition of stability depends on the context. One is numerical linear algebra and the other is algorithms for solving ordinary and partial differential equations by discrete approximation.
Void ratio, , is the ratio of the ... The field of slope stability encompasses the analysis of static and dynamic stability of slopes of earth and rock-fill dams ...