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Original file line number Diff line number Diff line change
Expand Up @@ -64,10 +64,25 @@ def demonstrate_multi_frequency():
print(f"{degree:>12.1f}°".ljust(15), end="")
print()

print("\n💡 观察:")
print(" - 维度0(高频):位置10就转了100度,变化快")
print(" - 维度3(低频):位置1000才转了0.1度,变化慢")
print(" - 不同维度组合 → 唯一标识每个位置!")
print("\n💡 观察(理解这个表格的两个维度):")
print(" 【注意】表格中的角度已对360°取模,所以都在0-360°范围内")
print()
print(" 【纵向看 - 沿 token 维度】:")
print(" - 维度0(高频):随位置增加,角度变化快")
print(" 例如:位置10时累计旋转约573度(表中显示213°是取模后的结果)")
print(" - 维度3(低频):随位置增加,角度变化相对较慢")
print(" 例如:转一圈需要约23个token(维度0只需6.3个,约4倍差距)")
print()
print(" 【横向看 - 沿嵌入维度】:")
print(" - 从维度0到维度3:频率递减,转动速度逐渐变慢")
print(" 例如:观察同一位置(表格同一行),从维度0到维度3,")
print(" 频率递减导致累计旋转圈数也递减")
print(" 参考上面的频率表:")
print(" - 维度0每6.3个token转一圈")
print(" - 维度3约每23个token转一圈(约4倍慢)")
print()
print(" 【结论】:不同维度组合 → 唯一标识每个位置!")
print()


def demonstrate_absolute_vs_relative():
Expand Down