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Subject index

The PDF gives linked page references; digital editions link directly to the named discussion.

Absolute value: Cosine similarity.

Accumulator: Sums over blocks.

Anisotropy: Embeddings.

Assignment: Kuhn–Munkres.

Attention energy: Dominant axis, spectrum, profile.

Basis: Transpose, symmetry, orthogonality.

Block: Sums over blocks.

Canon: Episodes: threading across days.

Centring: Centering and covariance.

Centroid: T² and Q.

Connected component: Stories: single linkage on a day’s articles.

Coordinate: A matrix times a vector.

Corpus: Counting words.

Correlation: Kuhn–Munkres.

Cosine similarity: Cosine similarity.

Covariance: Centering and covariance.

Covariance matrix: Centering and covariance.

Damping: TF‑IDF.

Dense storage: TF‑IDF.

Derivative: Truncation.

Diagonal matrix: What the SVD is.

Dimension: Transpose, symmetry, orthogonality.

Document frequency: TF‑IDF.

Dominant axis: Dominant axis, spectrum, profile.

Dot product: Cosine similarity.

Eigengap: Why nightly refinement is stable.

Eigenspace: Two ambiguities.

Eigenvalue: Eigenvectors: the axes of the cloud.

Eigenvector: Eigenvectors: the axes of the cloud.

Embedding: Embeddings.

Energy: Energy × (1 + ν) for ranking.

Episode: Episodes: threading across days.

Euclidean norm: Cosine similarity.

Explained variance: How many axes to keep.

Fit weight: Weights that balance the days.

Frobenius norm: Truncation.

Function: Truncation.

Gaussian distribution: ±2σ on the spectrum.

Gram matrix: A matrix times a matrix.

Gram–Schmidt: Latent semantic analysis.

Graph: Stories: single linkage on a day’s articles.

Greedy matching: Kuhn–Munkres.

Identity matrix: Transpose, symmetry, orthogonality.

Inverse: T² and Q.

Latent semantic analysis: Latent semantic analysis.

Least squares: Truncation.

Linear combination: A matrix times a vector.

Loading: Varimax.

Logarithm: TF‑IDF.

Marginal scaling: T² and Q.

Matrix: A matrix times a vector.

Mean: Centering and covariance.

Moment: Orienting an axis from power sums.

Naming rotation: Varimax.

Norm: Cosine similarity.

Novelty ratio: T² and Q.

Operator norm: Why nightly refinement is stable.

Orthogonal: Transpose, symmetry, orthogonality.

Orthonormal: Transpose, symmetry, orthogonality.

Orthonormalization: Latent semantic analysis.

Outer product: Centering and covariance.

Overnight matching: 0.8 for matching axes across nights.

Oversampling: Latent semantic analysis.

Percentile: Stories: single linkage on a day’s articles.

Perturbation: Why nightly refinement is stable.

Positive semidefinite: Eigenvectors: the axes of the cloud.

Power iteration: Latent semantic analysis.

Power sum: Orienting an axis from power sums.

Precedent: Precedents.

Precision: Episodes: threading across days.

Principal component: Eigenvectors: the axes of the cloud.

Procrustes alignment: Why nightly refinement is stable.

Profile: Dominant axis, spectrum, profile.

Projection: Projection, reconstruction, residual.

Quadratic form: T² and Q.

Randomized SVD: Latent semantic analysis.

Range: Latent semantic analysis.

Rank: Truncation.

Recall: Episodes: threading across days.

Reconstruction: Projection, reconstruction, residual.

Relative error: Truncation.

Residual: Projection, reconstruction, residual.

Rotation invariance: T² and Q.

Score: Projection, reconstruction, residual.

Shape: A matrix times a matrix.

Single linkage: Stories: single linkage on a day’s articles.

Singular value: What the SVD is.

Singular value decomposition: What the SVD is.

Sketch: Latent semantic analysis.

Skewness: Two ambiguities.

Sparse storage: TF‑IDF.

Spectrum: Dominant axis, spectrum, profile.

Standard deviation: ±2σ on the spectrum.

Standardization: ±2σ on the spectrum.

Story: Stories: single linkage on a day’s articles.

Streaming: Sums over blocks.

Subspace: Why a newspaper needs linear algebra.

SVD: What the SVD is.

Term frequency: TF‑IDF.

TF–IDF: TF‑IDF.

Threshold: The clustering thresholds.

Trace: How many axes to keep.

Transpose: Transpose, symmetry, orthogonality.

Truncation: Truncation.

T² statistic: T² and Q.

Uncorrelated: Centering and covariance.

Unit vector: Cosine similarity.

Variance: Centering and covariance.

Varimax: Varimax.

Vector: Why a newspaper needs linear algebra.

Weighted average: Weights that balance the days.

Welford update: ±2σ on the spectrum.

Whitening: Varimax.

Z-score: ±2σ on the spectrum.