毕达哥拉斯加法
与其费力地计算 c = √(a² + b²),我们可以使用"alpha-max plus beta-min"算法进行心算估算:ĉ = max(a, 0.9a + 0.5b),其结果非常接近真实值 c。这种方法在累加方差来源、计算半径或其他类似场景中非常实用。
与其费力地计算 c = √(a² + b²),我们可以使用"alpha-max plus beta-min"算法进行心算估算:ĉ = max(a, 0.9a + 0.5b),其结果非常接近真实值 c。这种方法在累加方差来源、计算半径或其他类似场景中非常实用。
A user proposes a geometric construction for angle triplication and asks if it could serve as a proof of Morley's theorem. The discussion examines the validity and rigor of the proposed construction as a proof.
Pythagorean addition combines magnitudes using √(a² + b²) rather than standard addition. It applies to orthogonal vectors in geometry and physics, and to combining standard deviations in statistics. The operation is commutative and always yields a result at least as large as the larger operand.
The article explains a mental math technique for approximating Pythagorean addition (calculating the hypotenuse of a right triangle) without a calculator. It breaks down the method of using a simple formula to estimate the square root of the sum of two squared numbers quickly in your head.
The article explains the Myers diff algorithm, which finds the shortest edit script between two sequences by modeling edits as a graph search problem. It details how the algorithm uses a greedy approach to trace paths through an edit graph, balancing deletions and insertions to produce optimal diffs.