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- Tensor analysis and field equations Vector analysis, Dyads, index notation, covariant and contravariant derivatives, Christoffel symbols, Riemann tensor, hydro-dynamical field equation. 张量及场方程式:三维向量,张量符号,张量微分,克里斯多夫符号,黎曼张量,流体动力场方程式。
- Riemann tensors 黎曼张量
- riemann tensor 黎曼张量
- Tensor algebra is tied to coordinates. 张量代数则离不开坐标系。
- Can mathematicians prove the Riemann hypothesis? 数学家可以证明黎曼猜想吗?
- I think it would be the Riemann Hypothesis. 我想那一定是“黎曼猜想”。
- Bernhard Riemann pioneered elliptic geometry. 伯恩哈德·黎曼开辟了椭圆几何学。
- In Riemannian manifolds, one studies Riemannian metric, covariant derivative, Riemannian connection, basic properties of the Riemann curvature tensor, curvature forms etc. 黎曼流形部分主要涉及黎曼度量,黎曼流形的定义,切向量场的协变微分,黎曼联络,黎曼几何的基本定理,曲率张量,曲率形式等概念和理论。
- Quantities like stresses are called tensors of rank 2. 类似于压力的量称为2阶的张量。
- Wiles and/or they must also prove the Riemann Hypothisis!!! 威尔斯和/或他们还必须证明黎曼假设!!!
- For unsymmetric tensors no statement of this kind can be made. 对于非对称张量,这种论断不成立。
- Tensors of this kind are called antimetric or skew-symmetric. 这类张量叫做反对称张量或斜对称张量。
- The elastic moduli Eijlm represents a tensor of the fourth order. 弹性模数Eijlm表示一个四阶张量。
- We derive the relations between physical and tensor components. 我们推导物理分量和张量分量之间的关系式。
- But tensor product wavelets has a number of drawbacks. 张量积小波有其自身的缺点。
- One third of the tensor is often called the bulk stress. 张量的三分之一通常称为体应力。
- The relationship of this geometry to Riemann's varieties was not clear. 这种几何和Riemann几何的关系是不清楚的。
- The fourth-rank tensors contain the compliance and stiffness constants. 四秩张量包含柔量常数和刚度常数。
- So, do not cry, there is healthy life without the Riemann hypothesis. 所以,不要哭,没有黎曼假设依然能够有健康的生活。
- When this tensor vanishes, the space is calleda flat. 当这一张量为零时,空间叫做平直空间。