Sentence examples for mathematical analysis as from inspiring English sources

Continuous functions are the most basic and widely studied class of functions in mathematical analysis, as well as the most commonly occurring ones in physical situations.

In addition, we demonstrate the scalability of our approach with a mathematical analysis, as well as experiments to evaluate security overhead of network entities under different security profiles supported by SST.

(A set is "open" if each of its elements has a "neighbourhood," or region enclosing it, that lies entirely within the set). Continuous functions are the most basic and widely studied class of functions in mathematical analysis, as well as the most commonly occurring ones in physical situations.

In this context, (hyper topological notions from Mathematical Analysis as well as measure theory, dynamical systems or fractality can be considered via domain theory, obtaining computational models.

In this paper, we first prove the existence and uniqueness of a solution in Besov spaces for model (1.3a - 1.3d 1.3a - 1.3degularity initial data, withh is a matter of interest in the mathematicalownalysis, as well as the existence of solution, stability and spatial patteregularity

We present a mathematical analysis as well as numerical simulations of our model and show that it exhibits two new key features that are important for the description of pore formation: at equilibrium, a large space charge region is present on the semiconductor side of the interface, and the application of an external potential yields a nonlinear current-voltage characteristic of Schottky type.

The mathematical analysis is as follows.

Since the mathematical complexity of this model is much greater than population-based models, mathematical analysis (such as considering the dynamical capabilities of individual channels) becomes intractable.

and also techniques that make use of simple algebraic procedures or more complex statistical and mathematical analysis procedures as a preliminary step for the classification.

Proofs of theorems of mathematical analysis such as his proof of the intermediate value theorem (Bolzano 1817) must not contain concepts alien to the domain of investigation; in the case of this theorem, one must not introduce geometrical or kinematic considerations to prove a theorem of universal (pure) mathematics.

He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function.