{"query": "The map's axes are its spectral modes (the Fourier lens)", "count": 20, "results": [{"id": "card_n_84ee70059175", "title": "The map's axes are its spectral modes (the Fourier lens)", "shelf": "concepts", "surface": "secular", "snippet": "Fourier's move — decompose a whole into the few fundamental modes that generate it — generalized off the regular cycle (where the FFT lives) to the map: the EIGENMODES of the dimension correlation mat"}, {"id": "card_src_word_fourier", "title": "fourier", "shelf": "dictionary", "surface": "secular", "snippet": "fourier: (noun) French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830) — syn: Jean Baptiste Joseph Fourier, Baron Jean Baptiste Joseph Fourier · (noun) Fren"}, {"id": "card_src_word_jean_baptiste_joseph_fourier", "title": "jean baptiste joseph fourier", "shelf": "dictionary", "surface": "secular", "snippet": "jean baptiste joseph fourier: (noun) French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830) — syn: Fourier, Baron Jean Baptiste Joseph Fourier"}, {"id": "card_n_ff27b07c4577", "title": "Fluid dynamics as the behavior of the axes", "shelf": "concepts", "surface": "secular", "snippet": "Matt: 'Fluid dynamics as behavior of axes? something along that line.' The axes are not static — they FLOW and redistribute as the map grows. Fluid dynamics may describe their behavior: a turbulent fl"}, {"id": "card_src_word_baron_jean_baptiste_joseph_fourier", "title": "baron jean baptiste joseph fourier", "shelf": "dictionary", "surface": "secular", "snippet": "baron jean baptiste joseph fourier: (noun) French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830) — syn: Fourier, Jean Baptiste Joseph Fourier"}, {"id": "card_c_744eb06a705f", "title": "When the tune is correct, the theories will  ↔ The map's axes are its spectral modes (the F", "shelf": "connections", "surface": null, "snippet": "Read the map's spectrum as music: a CORRECT arrangement will be CONSONANT (its inter-mode intervals land on just ratios)  — a concord the card itself states; mined + verified."}, {"id": "card_c_3ef54ded2976", "title": "Universal Gradient Manifold (UGM) — a heat-s ↔ The map's axes are its spectral modes (the F", "shelf": "connections", "surface": null, "snippet": "the common interface is the grid/axes  — a concord the card itself states; mined + verified."}, {"id": "card_c_c1d6d6e7a1d5", "title": "Schumann resonance — the Earth-ionosphere ca ↔ The map's axes are its spectral modes (the F", "shelf": "connections", "surface": null, "snippet": "the ideal harmonic ladder obeys f2/f1 = √3 exactly (the fingerprint of √(n(n+1)) spherical modes)  — a concord the card itself states; mined + verified."}, {"id": "card_src_word_lens", "title": "lens", "shelf": "dictionary", "surface": "secular", "snippet": "lens: (noun) a transparent optical device used to converge or diverge transmitted light and to form images — syn: lense, lens system · (noun) genus of small erect or climbing herbs with pinnate leaves"}, {"id": "card_c_8d164ab1d7cc", "title": "Schumann resonance instantiates the spectral-modes lens", "shelf": "connections", "surface": null, "snippet": "The Earth-ionosphere cavity is a literal, physical instance of spectral modes: the sqrt(n(n+1)) ladder is the sphere's own Fourier basis, rung by lightning."}, {"id": "card_src_book_19596", "title": "Charles Fourier: Sein Leben und seine Theorien. — August Bebel", "shelf": "gutenberg", "surface": "secular", "snippet": "Charles Fourier: Sein Leben und seine Theorien., by August Bebel (in de). Subjects: Socialism; Socialists -- France -- Biography; Fourier, Charles, 1772-1837. Read the full text (public domain): https"}, {"id": "card_src_word_lens_of_the_eye", "title": "lens of the eye", "shelf": "dictionary", "surface": "secular", "snippet": "lens of the eye: (noun) biconvex transparent body situated behind the iris in the eye; its role (along with the cornea) is to focus light on the retina — syn: lens, crystalline lens"}, {"id": "card_src_word_crystalline_lens", "title": "crystalline lens", "shelf": "dictionary", "surface": "secular", "snippet": "crystalline lens: (noun) biconvex transparent body situated behind the iris in the eye; its role (along with the cornea) is to focus light on the retina — syn: lens, lens of the eye"}, {"id": "card_n_88ac7219a4a9", "title": "Laplace — the map's dynamics (decay/growth), beyond the steady spectrum", "shelf": "concepts", "surface": "secular", "snippet": "Matt: 'laplace transform ... missing.' Fourier gives the STEADY spectrum (the imaginary axis); Laplace adds the REAL axis s=sigma+i*omega — decay/growth RATES. The map's eigenvalue spectrum decays EXP"}, {"id": "card_c_3437884ad1bb", "title": "Fluid probability dynamics related to the spectral (Fourier) lens", "shelf": "connections", "surface": null, "snippet": "Fourier eigenmodes of the Laplacian are exactly how the diffusion/continuity operator is solved."}, {"id": "card_src_word_lens_culinaris", "title": "lens culinaris", "shelf": "dictionary", "surface": "secular", "snippet": "lens culinaris: (noun) widely cultivated Eurasian annual herb grown for its edible flattened seeds that are cooked like peas and also ground into meal and for its leafy stalks that are used as fodder "}, {"id": "card_n_8acd49a66be1", "title": "Easton: Almond", "shelf": "dictionary", "surface": "secular", "snippet": "A native of Syria and Palestine. In form, blossoms, and fruit it resembles the peach tree. Its blossoms are of a very pale pink colour, and appear before its leaves. Its Hebrew name, shaked, signifyin"}, {"id": "card_src_book_47727", "title": "The different modes of cultivating the pine-apple From its first introduction into Europe to the late improvements of T.A. Knight, esq. — J. C. (John Claudius) Loudon", "shelf": "gutenberg", "surface": "secular", "snippet": "The different modes of cultivating the pine-apple From its first introduction into Europe to the late improvements of T.A. Knight, esq., by J. C. (John Claudius) Loudon. Subjects: Pineapple. Read the "}, {"id": "card_src_word_fourier_series", "title": "fourier series", "shelf": "dictionary", "surface": "secular", "snippet": "fourier series: (noun) the sum of a series of trigonometric expressions; used in the analysis of periodic functions"}, {"id": "card_src_comm_proverbs_15_11", "title": "Matthew Henry on Proverbs 15:11", "shelf": "commentary", "surface": "secular", "snippet": "On Proverbs 15:11 — This confirms what was said (Pro 15:3) concerning God's omnipresence, in order to his judging of evil and good. 1. God knows all things, even those things that are hidden from the "}]}