[Verse 1]
Functions hide secrets beneath their skin
Complex curves with mysteries within
Taylor takes his knife and starts to slice
Polynomials tumbling like scattered dice
Each term smaller than the one before
Infinite pieces on the cutting floor
[Chorus]
Break it down, break it down
The decomposition family's in town
Take what's hard and make it plain
Taylor, Fourier, eigenvalue chain
Break it down, break it down
Simple pieces all around
SVD will split the scene
Into parts we've never seen
[Verse 2]
Fourier hears music in every wave
Sine and cosine dancing to be saved
Periodic patterns locked inside
Frequency puzzle he will divide
Every signal tells a hidden story
Harmonics singing ancient glory
[Chorus]
Break it down, break it down
The decomposition family's in town
Take what's hard and make it plain
Taylor, Fourier, eigenvalue chain
Break it down, break it down
Simple pieces all around
SVD will split the scene
Into parts we've never seen
[Verse 3]
Matrices tower like city blocks
Eigenvalues pick the secret locks
Vectors pointing toward the light
Principal directions burning bright
Lambda scales what won't rotate
Eigenvectors seal their fate
[Bridge]
SVD takes the stage last
Singular values holding fast
U and V transpose the game
Three matrices stake their claim
Rank reveals what really matters
While the noise just fades and scatters
[Chorus]
Break it down, break it down
The decomposition family's in town
Take what's hard and make it plain
Taylor, Fourier, eigenvalue chain
Break it down, break it down
Simple pieces all around
Now you see what once was hidden
Complexity is now forbidden
[Outro]
When the world seems too complex
Remember what comes next
Decompose and rearrange
Simple truth from chaos strange