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QR, Nókis qalası, Ch.Abdirov kóshesi 1-úy
GRADIENT
[eng: gradient, рус: градиент]
40
31.10.2024 08:36
GRADIENT [en: gradient, ru: градиент]
– $x$, $y$, $z$ keńisliginiń bazıbir oblastında berilgen $u=f(x, y, z)$ funkciyası ushın - bul $\dfrac{\partial u}{\partial x}$, $\dfrac{\partial u}{\partial y}$, $\dfrac{\partial u}{\partial z}$ proekciyalarǵa iye vektor bolıp, ol tómendegi simvollar menen belgilenedi: $\text{grad}u=\dfrac{\partial u}{\partial x}\vec{i}+\dfrac{\partial u}{\partial y}\vec{j}+\dfrac{\partial u}{\partial z}\vec{k}$ yamasa $\text{grad}f(x, y, z)$, bunda $\dfrac{\partial u}{\partial x}$, $\dfrac{\partial u}{\partial y}$, $\dfrac{\partial u}{\partial z}$ - dara tuwındılar, $\vec{i}$, $\vec{j}$, $\vec{k}$ - ortlar.