Unverified50% confidenceFactExact time
The Gibbs phenomenon, named after Josiah Willard Gibbs, refers to the overshoot of approximately 9% of the jump magnitude (exact value Si(π)/π − 1/2 ≈ 8.95%) at discontinuities when approximating a discontinuous function with a finite-term Fourier series.
1
Sources
50%
Confidence
Long-term
Relevance
8/8/2026
First Seen
Sources
谱池化详解：从频域视角重新理解CNN下采样机制
Related Claims
UnverifiedIn 1984, Spencer, Szemerédi, and Trotter proved the upper bound result U(N) ≤ O(N^(4/3)), meaning the number of unit-distance pairs among N points does not exceed a constant multiple of N to the power of 4/3.64% similarUnverifiedThe division optimization technique of multiplying by a magic number and shifting originates from 'Hacker's Delight' (by Henry S. Warren Jr.), based on the principle n/d≈(n×M)>>k, where M≈2^k/d.62% similarUnverifiedTerence Tao collaborated with Ben Green to prove the Green-Tao theorem, which states that the prime numbers contain arbitrarily long arithmetic progressions.60% similarUnverified对于单调次模函数最大化问题，简单贪心算法可获得 (1−1/e)≈0.632 的最优多项式时间近似比，该结果由Nemhauser等人于1978年证明60% similarUnverifiedThe core issue involved in the discovery is a factorial normalization discrepancy between the original moment M_n and the Taylor/Jensen coefficients.59% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/709919API
curl https://kongchang.com/api/v1/knowledge/claims/709919MCP
get_claim(id=709919)