[Verse 1] Reach for the cup, don't knock it off the shelf, Distance out there, target narrow on itself, Fitts drew the math back in nineteen fifty-four, Time equals a, plus b times log of two D o'er W, nothing more, Double the distance, you'll pay a little tax, Halve the width, and watch the hustle relax, Wide doors forgive you, needle's eye does not, Every careless swipe, it's a window you forgot. [Chorus] Speed and accuracy, dancing on a wire, Fast hands get sloppy, slow hands never tire, Log of the distance over the width you've got, That's the trade you're making, cool math, hot shot, Wide and close is easy, thin and far's a fight, Fitts's Law's the compass guiding day to night. [Verse 2] Push the command louder, the motor neurons shout, But louder signals wobble, they wander all about, Harris and Wolpert found it back in ninety-eight, Noise grows with the muscle, speed decides your fate, Call it stochastic jitter, a random little quake, Riding on the pulse of every move you make, Sprint for the handle, you'll overshoot the mark, Creep up slow and steady, you'll land it in the dark. [Chorus] Speed and accuracy, dancing on a wire, Fast hands get sloppy, slow hands never tire, Log of the distance over the width you've got, That's the trade you're making, cool math, hot shot, Wide and close is easy, thin and far's a fight, Fitts's Law's the compass guiding day to night. [Verse 3] Flash and Hogan watched the arm glide smooth and true, Nineteen eighty-five, they drew the arc for you, Minimum jerk's the model, no jagged, no jolt, One bell-shaped curve, no stutter, no revolt, Straight as a pencil line from shoulder to the glass, Speed climbs up a hill then settles soft on grass, Smoothness is the secret the cortex seems to crave, Jerk minimized quietly, elegant and brave. [Bridge] But smoothness meets its rival when the clock runs tight, Minimum variance enters, reframes the fight, Not just gentle paths, but landing on the dime, Endpoint error shrinking every single time, Check it with the EMG, check it with the trace, Kinematics whisper proof across the workspace, Bell curves, noisy clouds, and log-scaled time, Brain math written plainly in a reaching rhyme. [Chorus] Speed and accuracy, dancing on a wire, Fast hands get sloppy, slow hands never tire, Log of the distance over the width you've got, That's the trade you're making, cool math, hot shot, Wide and close is easy, thin and far's a fight, Fitts's Law's the compass guiding day to night. [Outro] Reach it smooth, reach it true, mind the width and space, Variance and velocity, locked in their embrace, That's the brain's arithmetic, singing as you grab, Fitts and Flash and Wolpert, in every move you stab.
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