Sentence examples for mathematical fundamentals from inspiring English sources

Mathematical fundamentals of fractional calculus are given in the monographs [4 9].

After a short overview of physical and mathematical fundamentals, the system equations are formulated and different representations are introduced and analyzed.

More serious is that simple mathematical fundamentals behind TM have not been fully clarified so that its limitations and deficiencies would be obvious.

New mathematical fundamentals for filtering have appeared steadily during the last 40 years as robust estimation theory in 70 and 80th [10, 13], wavelets, PCA and ICA in 90th of the previous century [11, 14] have been developed.

In order to better understand the behavior of the MED filter, this study first investigated the mathematical fundamentals of the MED filter and then explained the reason why the MED filter tends to over highlight the dominant peaks.

The implementation technique and performance evaluation demonstrate the contribution of this paper to the mathematical fundamentals adaptation of an on-site rotatory scanning system to a cyber-physical system.

Even more important for the history of mathematical logic, fundamental technical advances for solving the paradoxes and shaping the foundations of logic and mathematics were made: Russell's theory of (ramified) types and Zermelo's axiomatization of set theory.

It can ensure through its mathematical formulation fundamental measurement in the tradition of Guttman's work within a probabilistic framework [ 72, 73].

Detailed analyses of alternative typical volumetric energy converters were conducted on the basis of mathematical and physical fundamentals as well as computational fluid dynamics (CFD) associated with the interaction between the flow conditions and the system operation.

In the twentieth century, research in the philosophy of mathematics revolved mostly around the nature of mathematical objects, the fundamental laws that govern them, and how we acquire mathematical knowledge about them.

Ma (1999) also considered the understanding of fundamental mathematical concepts as the basis for any effective teaching and learning of mathematics.