{"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_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_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_word_lens_implant", "title": "lens implant", "shelf": "dictionary", "surface": "secular", "snippet": "lens implant: (noun) a clear plastic lens that is implanted in the eye; usually done when the natural lens has been removed in a cataract operation — syn: interocular lens implant, IOL"}, {"id": "card_src_word_interocular_lens_implant", "title": "interocular lens implant", "shelf": "dictionary", "surface": "secular", "snippet": "interocular lens implant: (noun) a clear plastic lens that is implanted in the eye; usually done when the natural lens has been removed in a cataract operation — syn: lens implant, IOL"}, {"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_src_word_camera_lens", "title": "camera lens", "shelf": "dictionary", "surface": "secular", "snippet": "camera lens: (noun) a lens that focuses the image in a camera — syn: optical lens"}, {"id": "card_src_word_field_lens", "title": "field lens", "shelf": "dictionary", "surface": "secular", "snippet": "field lens: (noun) the lens that is farthest from the eye in an optical device with more than one lens"}, {"id": "card_src_word_object_lens", "title": "object lens", "shelf": "dictionary", "surface": "secular", "snippet": "object lens: (noun) the lens or system of lenses in a telescope or microscope that is nearest the object being viewed — syn: objective, objective lens, object glass"}, {"id": "card_src_word_objective_lens", "title": "objective lens", "shelf": "dictionary", "surface": "secular", "snippet": "objective lens: (noun) the lens or system of lenses in a telescope or microscope that is nearest the object being viewed — syn: objective, object lens, object glass"}, {"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_intraocular_lens", "title": "intraocular lens", "shelf": "dictionary", "surface": "secular", "snippet": "intraocular lens: (noun) an artificial lens that is implanted into the eye of someone to replace a damaged natural lens or someone who has had a cataract removed"}, {"id": "card_src_word_accommodating_lens_implant", "title": "accommodating lens implant", "shelf": "dictionary", "surface": "secular", "snippet": "accommodating lens implant: (noun) a lens implant containing a hinge that allows for both near and far vision (thus mimicking the natural lens of a young person) — syn: accommodating IOL"}, {"id": "card_src_word_fisheye_lens", "title": "fisheye lens", "shelf": "dictionary", "surface": "secular", "snippet": "fisheye lens: (noun) a camera lens having a wider than normal angle of view (and usually a short focal length); produces an image that is foreshortened in the center and increasingly distorted in the "}]}