| number,kind,title,label,printed_page,source_file,status | |
| 1.5,definition,Three extremal observation quantities,eq:Ddef,2,sections/01_problem.tex,Definition | |
| 1.2,theorem,Sharp observation law,thm:main,2,sections/01_problem.tex,Proof or explicit proof dependencies supplied | |
| 2.1,proposition,Completeness and nonnegative curvature,prop:quotient,4,sections/02_geometry.tex,Proof or explicit proof dependencies supplied | |
| 2.2,theorem,Global metric formula,thm:metric,5,sections/02_geometry.tex,Proof or explicit proof dependencies supplied | |
| 2.3,proposition,Soul and normal coordinates,prop:soul,5,sections/02_geometry.tex,Proof or explicit proof dependencies supplied | |
| 2.4,proposition,Full normal holonomy,prop:fullhol,6,sections/02_geometry.tex,Proof or explicit proof dependencies supplied | |
| 3.1,lemma,Two-zero interpolation,lem:interpolation,8,sections/03_local_control.tex,Proof or explicit proof dependencies supplied | |
| 3.2,theorem,Global quadratic holonomy bound,thm:global,9,sections/03_local_control.tex,Proof or explicit proof dependencies supplied | |
| 3.3,lemma,Uniform area expansion,lem:areaexpansion,9,sections/03_local_control.tex,Proof or explicit proof dependencies supplied | |
| 3.4,lemma,Sharp bracket-on-a-ray bound,lem:comass,10,sections/03_local_control.tex,Proof or explicit proof dependencies supplied | |
| 3.5,lemma,Closed-curve area bound,lem:wirtingerarea,11,sections/03_local_control.tex,Proof or explicit proof dependencies supplied | |
| 4.1,theorem,Exact circle writer,thm:writer,13,sections/04_writer.tex,Proof or explicit proof dependencies supplied | |
| 4.2,theorem,Sharp uniform scalar law,thm:scalarsharp,14,sections/04_writer.tex,Proof or explicit proof dependencies supplied | |
| 5.1,theorem,Cap E-optimality and rigidity,thm:capE,15,sections/05_caps.tex,Proof or explicit proof dependencies supplied | |
| 5.2,theorem,Cap D- and A-optimality,thm:capDA,16,sections/05_caps.tex,Proof or explicit proof dependencies supplied | |
| 5.3,lemma,Singular values of skew congruence,lem:wedgeSVD,16,sections/05_caps.tex,Proof or explicit proof dependencies supplied | |
| 5.4,theorem,Cap-optimal skew sensing,thm:capexterior,17,sections/05_caps.tex,Proof or explicit proof dependencies supplied | |
| 5.5,proposition,Near-optimal cap covariance,prop:nearcap,17,sections/05_caps.tex,Proof or explicit proof dependencies supplied | |
| 6.1,lemma,Compactness of bounded-length transport,lem:compact,18,sections/06_bridge.tex,Proof or explicit proof dependencies supplied | |
| 6.2,theorem,Exact resource bridge,thm:bridge,19,sections/06_bridge.tex,Proof or explicit proof dependencies supplied | |
| 6.3,corollary,Sharp Gram and exterior constants,cor:sharpframe,19,sections/06_bridge.tex,Proof or explicit proof dependencies supplied | |
| 6.4,theorem,No positive uniform frame floor,thm:no-uniform,20,sections/06_bridge.tex,Proof or explicit proof dependencies supplied | |
| 7.1,theorem,Exact deterministic minimax radius,thm:minimaxskew,22,sections/07_exterior.tex,Proof or explicit proof dependencies supplied | |
| 7.10,proposition,Orthogonal completion of a skew contraction,eq:skewcompletion,23,sections/07_exterior.tex,Proof or explicit proof dependencies supplied | |
| 8.1,lemma,Growth or stabilization,lem:wordgrowth,24,sections/08_echoes.tex,Proof or explicit proof dependencies supplied | |
| 8.2,theorem,Finite exact realization,thm:realization,25,sections/08_echoes.tex,Proof or explicit proof dependencies supplied | |
| 9.1,theorem,Relative calibration stability,thm:calibration,27,sections/09_noise.tex,Proof or explicit proof dependencies supplied | |
| 9.2,proposition,Orthogonal product stability,prop:replaystable,28,sections/09_noise.tex,Proof or explicit proof dependencies supplied | |
| 10.1,theorem,No adaptive advantage for this testing experiment,thm:gaussianexact,30,sections/10_statistics.tex,Proof or explicit proof dependencies supplied | |
| 10.2,theorem,Sharp short-loop statistical cost,thm:samplessharp,31,sections/10_statistics.tex,Proof or explicit proof dependencies supplied | |
| 11.1,lemma,Totally geodesic fibers,lem:geodesicfibers,33,sections/11_radius.tex,Proof or explicit proof dependencies supplied | |
| 11.2,theorem,Multiplicative finite-radius calibration,thm:radius,34,sections/11_radius.tex,Proof or explicit proof dependencies supplied | |
| 12.1,proposition,Strong and weak singular scales,,,sections/12_references.tex,Proof or explicit proof dependencies supplied | |