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Legend has it that, at age 20, he damaged his nose in a duel with a fellow member of the Danish gentry, Manderup Parsbjerg, not over a woman, but over some fine point of mathematics.
From the view point of mathematics, although near defective close eigenvalues are distinct, the characteristic of the system is also defective.
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Head of mathematics, York College.
Remark 4.6 From the point of view of mathematics, Theorem 4.4 explains that there exists an open set Ω ⊂ H 1, which guarantees that if the initial point u 0 ∈ Ω, then the solution of (3.4) satisfies ∥ u ( t, u 0 ) ∥ H → 0 ( t → ∞ ).
This illustrates Field's point that the usefulness of mathematics derives from shortening derivations (Field 1980, pp. 24 29).
Although students of philosophy usually read no further than *20 in PM, this is in fact the point where the "construction" of mathematics really begins.
Our analysis reveals important transition points in the history of mathematics and allows us to categorise countries according to their capacity to attract, export and self-maintain knowledge.
Epistemologically, she explicitly pointed to the value of mathematics not simply for representing intuitive ideas but for adding to her "understanding" of the world.
Metric fixed point theory is a branch of mathematics, which is widely used not only in other mathematical theories, but also in many practical problems of natural sciences and engineering.
It is the most widely applied fixed point result in different areas of mathematics and applications.
In many aspects of mathematics, fixed point theory has a tremendous application.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com