Linear Independence / Affine Independence / Non-singular Square Matrix / Definite Square Symmetric Matrix
Linear Independence / Affine Independence
Recent Posts
Digest of Terence Tao Analysis
Chapters
Infinite Cartesian Products
其实只是 Terence Tao 大神的定义写得稍微有一点绕，整体还是好理解的。
Topology Induced by Metric / Equivalence of Metrics
虽然 topology 的定义已经摆脱了 metric，但是这并不妨碍我们从 topology 的角度去研究 metric，这并不存在矛盾。
Topology / Topological Space / Redefine Neighborhood, Limit Point, Interior Point and Exterior Point
Topology / Topological Space
Neighborhood / Open Set / Continuity / Limit Points / Closure / Interior / Exterior / Boundary
Quoted from Analysis II by Victor Guillemin, MIT and Topology for dummies by Damian Giaouris, Newcastle University with modification.
Laplacian Matrix
1. Definition
Divergence / Gradient / Laplace Operator
注意这里反复使用了
Gradient Field
Gradient Field: a better way to interpret
Vector Space / Vector Field / Scalar Field /
Vector Space