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end{aligned} With the possible exception of π, e is the most important constant in mathematics since it appears in myriad mathematical contexts involving limits and derivatives.
It is well known that the theory of Sturm-Liouville problems is one of the most actual and extensively developing fields of theoretical and applied mathematics, since it is an important tool in solving many problems in mathematical physics (see [1 4]).
Fixed point theory is one of the cornerstones in the development of mathematics since it plays a basic role in applications of many branches of mathematics.
The Banach contraction principle is a very popular tool of mathematics in solving many problems in several branches of mathematics since it can be observed easily and comfortably.
This class of polynomials is of fundamental interest in mathematics since it includes some polynomials which have numerous important applications in several fields such as combinatorics and number theory.
This kind of problem plays a crucial role in engineering, physics and applied mathematics since it is used successfully to model complex phenomena in various fields such as fluid mechanics, viscoelasticity, physics, chemistry and engineering.
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It has primarily developed as a pure notional field of mathematics since its appearance.
A.B.: I've always been very passionate about mathematics since I was young.
In particular, the eigenvalue distribution of non-Hermitian random matrices called the Ginibre ensemble [6] has attracted much attention both in pure mathematics and in applications, since it gives a DPP on a complex plane.
He, however, rejected it on the basis of his finitist conception of mathematics; since the performance of a supertask involves the successive carrying out of an actual infinity of actions or operations, and the infinity is impossible to accomplish, in his view.
It is provable that this translation won't introduce any inconsistency into mathematics (since there are values for s), or any indeterminacy (since the embedded sentence …s…s… has the same truth value for any eligible value for s).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com