Sentence examples for application of analysis from inspiring English sources
The main vehicles for the application of analysis are differential equations, which relate the rates of change of various quantities to their current values, making it possible in principle and often in practice to predict future behaviour.
His early mathematical research was mainly concerned with the Dirichlet series, a series introduced by Peter Dirichlet of Germany in the application of analysis to the theory of numbers.
In 1785 he published his Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité des voix (Essay on the Application of Analysis to the Probability of Majority Decisions), a remarkable work that has a distinguished place in the history of the doctrine of probability.
Put differently, the course aimed at equipping students with conceptual knowledge (an understanding of scientific methods), and procedural knowledge (application of analysis methods and scientific writing).
In his Essay on the Application of Analysis to the Probability of Majority Decisions (1785), he advocated a particular voting system, pairwise majority voting, and presented his two most prominent insights.
Moreover, the underlying methodology has been extended to the application of analysis and modeling of gas-pipeline nets and mixed electrical and mechanical systems.
During his imprisonment Poncelet studied projective geometry and wrote Applications d'analyse et de géométrie, 2 vol. (1862 64; "Applications of Analysis and Geometry").
The applications of analysis were also varied, including the theory of the vibrating string, particle dynamics, the theory of rigid bodies, the mechanics of flexible and elastic media, and the theory of compressible and incompressible fluids.
Analytic decisions may focus on the application of factor analysis, cluster analysis, and path models.
Construct validity consisted of concurrent application of factor analysis and Rasch analysis.
In this context, trend analysis is a major application of data analysis.
