[Verse 1] Two branches sprouting from the soma's core Each one computing logic at its door Branch A takes input, holds it tight and true Branch B gets signal, processes it through But here's the twist that makes the magic flow Each branch needs shunting, circuits need to know When A fires strong but B must stay quiet When B lights up but A keeps diet [Chorus] A and not B, or B and not A XOR emerging from the neural play Shunt inhibition breaks the linear chain Two dendritic branches, computational gain Pipeline's cracking where the branches meet Separability's obsolete [Verse 2] Wire the first branch, A comes streaming in Excitatory signals, let them begin But place a shunt right at the critical zone When B activates, A's left alone Second branch mirrors this intricate dance B gets excited, given the chance Shunt blocks A when B wants to speak This is the circuit architecture we seek [Chorus] A and not B, or B and not A XOR emerging from the neural play Shunt inhibition breaks the linear chain Two dendritic branches, computational gain Pipeline's cracking where the branches meet Separability's obsolete [Bridge] Perceptron's weakness lives in weighted sums Linear combinations, where limitation comes But dendrites split the computation wide Before the soma decides Nonlinear mixing in dendritic trees Multiplicative gates, computational keys The pipeline breaks at dendritic integration Before somatic summation [Verse 3] Trace the signal through its neural path Dendrites computing, doing circuit math Shunts divide the current, voltage drops This is precisely where linearity stops Not at the synapse, not at axon's end But where dendritic branches blend XOR patterns that seemed impossible before Now computed in biological hardware [Verse 4] Evolution found this trick so long ago Branching processors with inhibitory flow Each dendrite acts like a logic gate Complex computations at synaptic rate Membrane potential shifts with every shunt Multiplicative effects, no linear stunt Single neurons now solve harder tasks Than simple summation ever asks [Chorus] A and not B, or B and not A XOR emerging from the neural play Shunt inhibition breaks the linear chain Two dendritic branches, computational gain Pipeline's cracking where the branches meet Separability's obsolete [Outro] Checkpoints passed in dendritic computation Breaking limits through neural innovation
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