Expired50% confidenceFactExact time
In 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.
1
Sources
50%
Confidence
Medium-term (~90 days)
Relevance
7/2/2026
First Seen
Valid until: 9/30/2026(expired)
Sources
Related Claims
UnverifiedIn 1984, Spencer, Szemerédi, and Trotter proved the upper bound U(N) ≤ O(N^(4/3)) for the unit distance problem.85% similarUnverifiedThe 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.64% similarUnverifiedFrostman引理(1935年)断言:如果紧集的s维Hausdorff测度为正,则该集合上存在非零正则Borel测度μ满足μ(B(x,r)) ≤ C·r^s62% similarUnverifiedTerence Tao collaborated with Ben Green to prove the Green-Tao theorem, which states that the prime numbers contain arbitrarily long arithmetic progressions.61% similarUnverifiedCohen's Kappa系数的计算公式为 κ = (Po - Pe) / (1 - Pe),用于排除偶然因素导致的一致60% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/51611API
curl https://kongchang.com/api/v1/knowledge/claims/51611MCP
get_claim(id=51611)