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Now, we will show the example of a function for which we can apply Theorem 1.
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However, in 1872 Weierstrass found the first example of a function that is continuous everywhere but differentiable nowhere.
A special case is the Weierstrass function which is an example of a function continuous everywhere but differentiable nowhere: (3.1).
A special case is the Weierstrass function which is an example of a function continuous everywhere but differentiable nowhere: (3.1) where, is an arbitrary phase and, being the fractal dimension of the self-similar structure defined by.
A common example of a function is the inverse of a large, sparse matrix, which is the focus of this paper.
(Indeed, in 1872 Weierstrass produced the first example of a continuous function that cannot be differentiated at any point a function now known as a nowhere differentiable function).
The probability density function specifies how probable scores are by the height of the function, and the best-known example of a density function is the famous normal density, the "bell" curve.
The PAPUCO registry is an example of a functioning registry in low-resource settings.
(G ) Number of spikes generated in the example cells as a function of the peak amplitude of the injected sinusoid currents at the all tested frequencies.
The most notable example of a Legendre function is (frac{1}{s}Vert cdot Vert ^{s}) ((1< s
The Wiener filter is one example of a gain function, and any other gain function can be employed using the obtained speech and noise PSD estimates.
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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