In mathematics Euler operators may refer to: Euler–Lagrange differential operators d/dx: see Lagrangian system; Cauchy–Euler operators e.g. x·d/dx; quantum white noise conservation or …

2020年7月1日 · Euler–Lagrange operator. A fundamental object, $\cal E$, in the calculus of variations (cf. also Variational calculus), used to formulate the system of partial differential …

Euler operator (digital geometry) 在实体建模和计算机辅助设计中，Euler operator修改连接图以添加或删除网格细节，同时保留其拓扑。它们由 Baumgart以欧拉-庞加莱特征命名。选择一组足 …

在 代数拓扑 中，欧拉示性数（Euler characteristic）是一个 拓扑不变量 （事实上，是 同伦不变量），对于一大类 拓扑空间 有定义。 如果一个拓扑空间 X 有有限的三角剖分 h：X→ |K|，X 的 …

In solid modeling and computer-aided design, the Euler operators modify the graph of connections to add or remove details of a mesh while preserving its topology. They are named by …

欧拉定理表明，若 为正 整数，且 互素 （即 ），则. 即 与1在模n下 同余； φ (n)为 欧拉函数。 欧拉定理得名于 瑞士 数学家 莱昂哈德·欧拉。 欧拉定理实际上是 费马小定理 的推广。 首先看 …

The Euler operator arises in the calculus of varia- tions as the operator which to each Lagrangian of a variational problem assigns the Euler equation associated with that problem.

Euler operators form a useful set of basic tools with which to build up more complex modelling operations. In the examples shown in figures 3.11 to 3.31, the Euler operators take the …

Euler operators are written as Mxyz and Kxyz for operations in the Make and Kill groups, respectively, where x, y and z are elements of the model (e.g., a vertex, edge, face, loop, shell …

While reading this book I came across a differential equation $$t^5\frac{d^2y}{dt^2}+2t^4\frac{dy}{dt}-y=0$$ that was then rewritten in terms of the Euler …