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Mathematical Notes of the Academy of Sciences of the USSR, 1968
We consider three classes of N-functions: (Δ'), the class of functions satisfying the Δ' condition, (Δ2), the class of functions satisfying the Δ2 condition, and (MΔ), the class of functions M(u) satisfying the condition:\(\mathop {\lim }\limits_{u \to \infty }\) ln M (u) / ln u = p < ∞.
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We consider three classes of N-functions: (Δ'), the class of functions satisfying the Δ' condition, (Δ2), the class of functions satisfying the Δ2 condition, and (MΔ), the class of functions M(u) satisfying the condition:\(\mathop {\lim }\limits_{u \to \infty }\) ln M (u) / ln u = p < ∞.
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Food proteins from animals and plants: Differences in the nutritional and functional properties
Trends in Food Science & Technology, 2021L. Day, J. Cakebread, S. Loveday
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Difference functions for functions with the Baire property
Aequationes Mathematicae, 1999Let \(G\) be the additive group \(\mathbb R\) or \(\mathbb R/\mathbb Z\). For \(f:G\to\mathbb R\) and \(h\in G\) the difference function is defined by \(\Delta_hf(x)=f(x+h)-f(x)\). For families \(\mathcal G\subset\mathcal F\) of functions \(f:G\to\mathbb R\) let \(\mathcal H(\mathcal F,\mathcal G)= \{H\subset G:\exists f\in\mathcal F\smallsetminus ...
Marek Balcerzak +2 more
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On a Property of Harmonic Functions
Zeitschrift für Analysis und ihre Anwendungen, 1995If we divide the space \mathbb R^n into two disjoint areas with one common hypersurface and define a harmonic function in each part of these areas such that their gradients vanish at infinity and the normal components of their gradients are equal on the hypersurface, then for some ...
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Properties of quasiperiodic functions
Journal of Physics: Condensed Matter, 2017Today, quasiperiodic tilings are well known and have been studied in great detail since they are very useful to describe the properties of metallic and soft matter quasicrystals. A closely related topic are quasiperiodic functions which have also gained large interest recently. Different types of such functions and there interrelation will be presented
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Properties of Characteristic Functions
2000We have seen several examples on how to calculate a characteristic function when given a random variable. Equivalently we have seen examples of how to calculate the fourier transforms of probability measures. For such transforms to be useful, we need to know that knowledge of the transform characterizes the distribution that gives rise to it. The proof
Philip Protter, Jean Jacod
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Starch Properties and Functionalities
2003Cereal grains store energy in the form of starch. The proportion of starch in the grain is generally between 60 and 75% by weight (Hoseney 1986). It makes up about 90% of milled-rice dry weight (Juliano 1985) and 72% of the maize kernel dry weight (Boyer and Shannon 1987) and is the primary product obtained from wet milling of maize.
Lilia S. Collado, Harold Corke
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Functional properties and promising applications of high entropy alloys
, 2020Xue-Hui Yan, Yong Zhang
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