[Verse 1] In every corner of mathematics lives A deeper pattern that connects and gives Seven threads that weave through every field Cross-cutting themes that never yield Symmetry holds while changes flow Invariance in all we know From algebra to topology's dance These patterns give us second chance [Chorus] Seven themes that cut across Every path without a loss Symmetry and duality Structure versus randomness free Approximation guides our way Local-global interplay Linearization makes it clear Functoriality draws near [Verse 2] Duality shows us hidden sides In linear space where truth abides Optimization finds its pair Category theory's everywhere When perfection's out of reach Approximation starts to teach Analysis and probability Number theory's mystery [Chorus] Seven themes that cut across Every path without a loss Symmetry and duality Structure versus randomness free Approximation guides our way Local-global interplay Linearization makes it clear Functoriality draws near [Verse 3] Structure battles randomness In combinatorics' endless chess Number theory seeks the order Analysis defends the border Local properties combine To reveal the global design Topology and geometry Differential harmony [Bridge] Linearization takes the curve Straightens out what we observe Calculus and Lie theory Make the complex seem so free Functoriality connects All the dots that intersect Langlands program shows the way Algebra and number play [Chorus] Seven themes that cut across Every path without a loss Symmetry and duality Structure versus randomness free Approximation guides our way Local-global interplay Linearization makes it clear Functoriality draws near [Outro] Meta-layers guide our sight Seven themes shine bright light Cross-cutting paths unite Mathematics infinite
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