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We use Lagrangian Relaxation which is based on a scheme named Compath Decomposition to dualize the capacity constraints.

本文用基于复合路径分解的日分解法求解,容量约束松弛后得到复合路径分解法的主问题和子问题。

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VOA Special 2023年6月

The area is called the second Lagrangian Point.

个区域叫做第二拉格朗日点。

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两分钟论文

One key difference of this work is that the older solution was built upon a Lagrangian approach, which means that the simulation consists of computing the velocities and the pressure that acts on these particles.

项工作一个主要不同点是,旧方法是建立在拉格朗日方法基础上,意味着模拟方法包括计算速度和作用于些粒子压力。

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Veritasium真理元素

Somehow I managed to go my whole degree without learning Lagrangian mechanics.

不知何故,我在有学习拉格朗日力学情况下完成了整个学位。

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Lex Fridman Podcast

If you know the Lagrangian for the standard model, you are done, you know.

如果你知道标准模型拉格朗日量,你就搞定了, 你知道。

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Veritasium真理元素

But with the Lagrangian approach, you have this machine crank out the principle of least action on it and you get the right equation to motion and you don't have to be a good physicist.

但是利用拉格朗日方法,您可以让台机器在其上执行最小作用量原理,并得到正确方程,而您不必成为一名优秀物理学家。

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周日奥秘揭晓

This theory modified  Newtonian gravity by changing the classical lagrangian to a lagrangian involving a general  function and the threshold acceleration term.

该理论通过将经典拉格朗日改为包含一般函数和阈值加速度项拉格朗日来修正牛顿引力。

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周日奥秘揭晓

It's called AQUAL, which stands for A Quadratic Lagrangian.

它被称为AQUAL理论,全称是二次拉格朗日。

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Lex Fridman Podcast

Now, we talked about Newtonian mechanics, leading all through different Lagrangian, Hamiltonian mechanics.

现在,我们讨论了牛顿力学,贯穿了不同拉格朗日力学和哈密顿力学。

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Veritasium真理元素

So the principle of least action that we write as integral of Ldt, L being being the Lagrangian, the T minus V, the kinetic minus potential energy, they don't call it Lagrange's Principle, they call it Hamilton's Principle.

- 因此,我们将最小作用量原理写为 Ldt 积分,L 是拉格朗日量,T 减去 V,即能减去势能,他们不称之为拉格朗日原理,而是称之为哈密顿原理。

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Veritasium真理元素

Now let's replace everything we did before with the Lagrangian.

现在让我们用拉格朗日量来代替之前所做一切。

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Veritasium真理元素

[Derek] If this is the action, then T minus V is called the Lagrangian.

- [Derek] 如果是作用,那么 T 减去 V 被称为拉格朗日量。

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