Unverified50% confidenceFactExact time
The Marčenko–Pastur law states that the upper bound of the support interval for the eigenvalue distribution of a purely random matrix is λ_max = σ²(1+√q)², where q = N/T.
1
Sources
50%
Confidence
Long-term
Relevance
9/11/2026
First Seen
Sources
Related Entities
Related Claims
Unverified在n维空间中一个临界点成为局部极小值的概率约为(1/2)^n，因为要求Hessian矩阵的所有n个特征值都为正70% similarUnverifiedHessian 矩阵的正定性可以从数学上判断一个临界点究竟是极小值、极大值还是鞍点65% similarUnverifieds维Hausdorff测度定义为H^s(S) = lim_{δ→0} inf{Σ|U_i|^s}，Hausdorff维数定义为dim_H(S) = inf{s ≥ 0 : H^s(S) = 0}65% similarUnverifiedThe Toeplitz–Hausdorff theorem guarantees that the numerical range of a matrix is always a convex compact set in the complex plane.65% similarUnverified哈达玛矩阵的元素只有+1和-1两种取值，因此向量与哈达玛矩阵相乘本质上只涉及加法与减法，不需要浮点乘法65% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/893041API
curl https://kongchang.com/api/v1/knowledge/claims/893041MCP
get_claim(id=893041)