“Know how to solve every problem that has been solved.” “What I cannot create, I do not understand.” — Richard Feynman

Term Audit

Term-audit

The first-read lint. Every technical term on a page, in order of first appearance, judged: grounded at first use, grounded elsewhere on the page, or missing — used where a first-time reader has nothing to hold. A page passes when nothing is missing: you can read it top to bottom with no other tab open. Lexicon: 690 terms drawn from the concept index, glossary, facts, and prerequisite graph; 1899 first-occurrences detected across 377 pages.

Audited pages

pagetermsmissing
/nuclear_physics/build_your_own_vb 12 3 3 ungrounded
/projects/slmc_pyscf 3 1 1 ungrounded
/projects/gpt_from_scratch 2 1 1 ungrounded
/nuclear_physics/skyrme_hartree_fock 29 0 passes first read
/nuclear_physics/build_your_own_shell_model 8 0 passes first read
/nuclear_physics/build_your_own_vb — term table
termfirst appearsverdict
pauli principle …tabulated. Deflation exists because the Pauli principle marches heavier nuclei up the radial la… earlier
effective mass …density near the Fermi surface that the effective-mass story on the main page quantifies. New … earlier
scf iteration …from its own eigenvalue at the previous SCF iteration) are there because a heavy nucleus crow… earlier
doubly-magic …a code disguise. The shell table (every doubly-magic filling a prefix of one master list, so… missing
magic number …⁸Ca's N = 28 falls out for free) is the magic-number ordering — the spin-orbit physics of st… earlier
eigenvector … into 2s, 3s, 3p states, and one lowest eigenvector no longer covers the occupation. And th… earlier
eigenvalue …(each state's shift seeded from its own eigenvalue at the previous SCF iteration) are ther… earlier
functional Past ¹⁶O, not one term is added to the functional — the equations are finished. What heav… missing
occupation …lowest eigenvector no longer covers the occupation. And the warm-started shifts (each stat… missing
spin-orbit …ree) is the magic-number ordering — the spin-orbit physics of step 3, tabulated. Deflation… earlier
deflation …pin-orbit physics of step 3, tabulated. Deflation exists because the Pauli principle marc… first-use
spectrum …wrong states mid-flight in Pb's crowded spectrum, and the SCF dutifully converged to a w… earlier
/projects/slmc_pyscf — term table
termfirst appearsverdict
self-learning monte carlo …e chain used a hand-built cheap energy. Self-learning Monte Carlo (SLMC) is the principled way not to dod… first-use
surrogate …pled way not to dodge it: learn a cheap surrogate energy from a modest set of PySCF calcu… first-use
density of state …gates acceptance — giving the ab-initio density of states of a flexible molecule that brute force… missing
/projects/gpt_from_scratch — term table
termfirst appearsverdict
attention …not magic. It is a stack of two ideas — attention and a per-token MLP — wrapped in residu… first-use
residual …ention and a per-token MLP — wrapped in residual connections and normalization. This pro… missing
linear algebra … stack. Attention itself is one line of linear algebra:… false-positive
hello world Sorting is the "hello world." The same hand-built model reaches muc… false-positive
/nuclear_physics/skyrme_hartree_fock — term table
termfirst appearsverdict
self-consistent …an atom. And the whole scheme is called self-consistent because it closes a loop: guess how the… first-use
mean field …ucleon feels from all the others is its mean field . A single nucleon's standing-wave patt… first-use
spin-orbit density …ere the orbitals wiggle the most; and a spin-orbit density \\mathbf that records where nucleon spi… first-use
kinetic density …e three are the density \\rho itself; a kinetic density \\tau that records where the orbitals w… first-use
functional …osen so that the total energy becomes a functional — a rule that takes in entire functions… first-use
isospin … constantly, so here they are up front. Isospin is bookkeeping for a near-coincidence: … first-use
spin-orbit Spin-orbit is the coupling between a nucleon's spi… first-use
doubly-magic …g described a moment ago). A nucleus is doubly-magic when both its proton number Z and its n… first-use
magic number …, 20, 28, 50, 82, 126 — are the nuclear magic numbers (28 and above exist only because of the… first-use
ground state …an take head-on. Closed shells make the ground state spherical — so the reduction to a radia… earlier
effective mass …its, SLy4 and SkM*, which appear in the effective-mass comparison below.… earlier
slater determinant …y method: write the nucleus as a single Slater determinant — the one antisymmetric wavefunction yo… first-use
spherical harmonic …ital is a known, pre-solved function (a spherical harmonic, the same catalog for every central pro… first-use
pauli principle …m of "independent particles obeying the Pauli principle" — and let each nucleon move in the mea… first-use
antisymmetric …s a single Slater determinant — the one antisymmetric wavefunction you can build by giving ev… first-use
wavefunction …ter determinant — the one antisymmetric wavefunction you can build by giving every nucleon i… first-use
centrifugal …es not disappear — it leaves behind the centrifugal term \\ell(\\ell+1)/r^2 in each radial … first-use
self-consistent field … orbitals staying orthonormal, is what "self-consistent field" means:… first-use
hamiltonian …or that orbital — an energy operator (a Hamiltonian) whose eigenvalue \\varepsilon_i is tha… first-use
eigenvalue …o an orbital returns a Schrödinger-like eigenvalue problem for that orbital — an energy op… first-use
tridiagonal … on a mesh and this becomes a symmetric tridiagonal matrix — nonzero only on the main diago… first-use
fixed-point iteration So the whole calculation is a fixed-point iteration — the loop from the top of the page, no… first-use
harmonic oscillator …l 1972 paper expanded the orbitals in a harmonic-oscillator basis — writing each unknown orbital as… first-use
matrix element …ic-oscillator orbitals have closed-form matrix elements, so you can assemble the Hamiltonian wi… earlier
basis set …hapes together. No 3-D grid to fill, no basis set to expand: the only thing left to conve… earlier
two-body matrix element …als straight off the densities, with no two-body matrix elements or Moshinsky brackets (the angular-mome… earlier
convergence …ates, so the exponential tail is exact. Convergence is then one monotone knob (grid spacing… earlier
residual The residual ~1–2 MeV spread in the single-particle … first-use
functional derivative …rho_q \\tau_q term had a +t_1 where the functional derivative of the energy density gives -t_1 ; the … earlier
subtraction Direct Coulomb. A stray cumulative-sum subtraction pushed the direct Coulomb potential neg… false-positive
/nuclear_physics/build_your_own_shell_model — term table
termfirst appearsverdict
configuration interaction …alized in full. This approach is called configuration interaction (CI): the answer is exact within the ch… first-use
pauli principle …ore's filled orbitals are barred by the Pauli principle; above, the next shell sits a magic-num… earlier
magic number …principle; above, the next shell sits a magic-number energy gap away and barely mixes in. Th… earlier
hamiltonian …wed configuration is enumerated and the Hamiltonian — the matrix of energies and couplings … earlier
valence …¹⁶O core never move), keep only the few valence particles left over, confine them to a … first-use
mean field It is the opposite bargain from the mean-field tutorial : there, every nucleon partici… first-use
spectrum …uces the validated mini-CI , whose ²⁴Mg spectrum matches two independent production code… earlier
bitstring …orth-Jensen) stores the basis as 64-bit bitstrings and runs Lanczos — the representation t… earlier

Not yet judged

Detection only — the grounding judgment needs a reader. Densest pages first; these are the audit queue.

pageterms detected
/quantum_chemistry/hartree_fock52
/foundations/single_particle_models44
/perturbation_methods/casida35
/quantum_chemistry/definitions_and_flashcards26
/etudes/eigenvalue_problems25
/perturbation_methods/liouville_lanczos25
/linear_algebra/lanczos_iteration21
/quantum_chemistry/from-scratch/hartree-fock21
/quantum_chemistry/from-scratch/roothaan-hall18
/optimization/gradient_descent17
/quantum_chemistry/rhf_uhf_ansatz17
/nuclear_physics/quantities_of_interest16
/full_configuration_interaction/full_configuration_interaction15
/full_configuration_interaction/hubbard_dimer_fci15
/nuclear_physics/hartree_fock_bogoliubov15
/nuclear_physics/nuclear_shell_model15
/quantum_chemistry/from-scratch/afterward15
/quantum_chemistry/from-scratch/determinants15
/quantum_chemistry/from-scratch/scf15
/quantum_chemistry/one_s_program15
/solid_state_physics/quantities_of_interest15
/circuits/pade_via_lanczos14
/quantum_chemistry/hartree_fock_brute_force14
/quantum_chemistry/quantities_of_interest14
/quantum_chemistry/slater_orbital_problem14
/quantum_chemistry/gaussian_product_theorem13
/quantum_chemistry/harmonic_oscillator_fd13
/comp_neuro/lif_network_response12
/full_configuration_interaction/h2_fci12
/machine_learning/linear_regression12
/nuclear_physics/moshinsky_transform12
/pdes/spectral_methods12
/perturbation_methods/variational_perturbation12
/quantum_chemistry/from-scratch/h212
/sbi/path-integral12
/circuits/lanczos_mor11
/linear_algebra/resolvent11
/nuclear_physics/build_your_own_vb/step-211
/pdes/separation_of_variables11
/pdes/time_dependent_schrodinger11

…and 332 more pages with at least one detected term.