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If both time and space scales are continuous, that is, (mathbb{T}=mathbb{R}), (mathbb{X} =mathbb{R}), formula (4.29) may be further simplified (we choose here (t_{0}=0)) as follows: v t,x =frac{1}{2pi}int_{-infty}^{infty}varphi(y) biggl(int_{-infty}^{infty} e^{frac{ilambda}{p}(x-y)-tlambda^{2}},x =frac{1}{2pi}int_{-infty
If both time scale and space scale are continuous, that is, (mathbb{T}=mathbb{R}), (mathbb{X}=mathbb{R}), (nu (x)=mu(t)equiv0), (4.4) turns to the classical Burgers equation [16] F_{t} t,x =bigl(F^{2} t,x)+p^{2} t{x}(t,x) bigr)_{x}.
By Richard Brody June 12 , 2014There's an inherent fascination with the lives and doings of great artists, arising from the accurate intuition that the work and the life are continuous — that there's no real boundary between them, that the work is a crystallization of the life, and that the life is itself an uncaptured creation and a source of wisdom, insight, and emotion.
There's an inherent fascination with the lives and doings of great artists, arising from the accurate intuition that the work and the life are continuous — that there's no real boundary between them, that the work is a crystallization of the life, and that the life is itself an uncaptured creation and a source of wisdom, insight, and emotion.
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Its sample path is continuous, that is, the function t → W ( t ) is almost surely continuous.
(ii) Its sample path is continuous, that is, the function t → W ( t ) is almost surely continuous.
"We agreed that the discussions will be continuous, that the meetings will continue and will take place here in Jordan.
Application enhancement and expansion are continuous process that is carried out based upon end user requirements.
Since the mapping is continuous (note that and are continuous), we have that is closed.
Now, since that and are continuous we have that so.
Assume that are continuous functions such that (2.4).
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CEO of Professional Science Editing for Scientists @ prosciediting.com