graph LR idea_16133cc8_3bfd_4bcc_8c8c_a7a79e284494["Trigonometric Functions"] idea_16373654_b574_47d1_a5e4_a4a9f3c7448c["Euler's Formula"] idea_2132fb22_760b_47ad_a3f5_b8bea6818535["Matrix Multiplication Rules in Linear Algebra"] idea_22a2e8f4_bc9f_4dfc_8be0_ae5e3f61819e["Aliasing"] idea_267f3515_89f5_4004_b5b3_f0abb9535eaa["Nyquist–Shannon Sampling Theorem"] idea_26ce2331_a0c0_4eb6_95ec_1ffa8edc6d30["Divide-and-Conquer Algorithms"] idea_27157ce0_c333_4dcc_b530_ca424a799fa6["Michelson Interferometer"] idea_2a11cd9e_2f34_4115_89bf_7bb405957c1c["Frequency-Domain Filtering"] idea_2c49c145_e6be_44fa_adeb_e67cc1578dbe["Analog-to-Digital Conversion"] idea_2c60d018_aab1_4033_b5fe_4cd497a542af["Magnetic Field Gradient"] idea_32d77451_98b9_49db_a4db_2b79db965ed8["Discrete Cosine Transform"] idea_34748ea1_21ac_4907_b9f7_833cb782f261["Quantization"] idea_47cfc7b4_9980_4952_8df0_13ff497ed7f4["Linear Time-Invariant Systems"] idea_55f9a2c5_d099_4eaf_a364_8a8d26ccf1e7["Audio Equalization"] idea_5a1f9ea7_ba27_49e0_8b2a_53a4ed62ee58["Nuclear Magnetic Resonance"] idea_5a6fd0a7_e0a4_4f43_9d91_73ba0c26036d["Decibel Scale"] idea_60466e06_ec0c_415c_94e7_2b9bbc44653a["Fourier Series"] idea_64473b1b_ae79_4dd3_add6_f067d8b01552["Periodic Functions"] idea_6cf58ac2_2736_4069_8fe4_ac013b601eff["Frequency Response"] idea_77d140df_e598_4467_9e13_517bcd84440e["Molecular Vibrational Modes"] idea_77dfbeb4_67db_42b3_84f4_052e723808c6["Spectrogram"] idea_88c8961b_4786_4439_85d1_84b4f685d8d5["Impulse Response"] idea_93ba22d6_a657_473e_a4bd_0dbf044e5f4e["Fourier Transform Infrared Spectroscopy"] idea_95b85e7d_c211_4e06_bb8d_0b8522cff4d2["Definite Integral"] idea_a01a87d7_a694_4dc5_ae82_42fe1b8f81ff["Convolution Theorem"] idea_a1a1d61c_dae3_4e7e_bc27_99e8a7048530["Integral"] idea_a5aa43a4_d903_447f_be62_9bdace0dec87["Convolution"] idea_a7dec06a_13f5_4de7_8883_880c3c61e40d["Time-Frequency Uncertainty Principle"] idea_a9531369_654a_49ab_b18c_7c06fb3214db["Roots of Unity"] idea_abeb88e6_505f_4049_bba7_298f15399375["Orthogonality of Sinusoids"] idea_ac2622cc_c219_4b2d_80c0_8c15e2e3dd45["Short-Time Fourier Transform"] idea_ae32ccc2_181e_48a5_b46c_a46c52e1067c["Fast Fourier Transform"] idea_b77c8d0a_4f8d_40cb_9da1_307a0fd07afe["JPEG Compression"] idea_ce7cfe4e_daae_43d3_904e_0760b006e227["MRI k-Space"] idea_d316993b_e44d_429e_8588_da97eae73b09["Discrete Fourier Transform"] idea_d63e137e_69cc_4257_9be8_0119a399c6eb["Frequency Spectrum"] idea_d88cf91e_2291_48b4_acb9_d65f0334d0f2["Dirac Delta Function"] idea_efa6007a_cc89_4370_886a_dc93c897e1d8["Window Functions"] idea_f118dcc5_4865_461a_9fb7_b7f50debe18f["Spectral Leakage"] idea_f1f09ad7_ac2f_497a_97eb_4d41fcfc049e["Continuous Fourier Transform"] idea_267f3515_89f5_4004_b5b3_f0abb9535eaa --> idea_22a2e8f4_bc9f_4dfc_8be0_ae5e3f61819e idea_a1a1d61c_dae3_4e7e_bc27_99e8a7048530 --> idea_60466e06_ec0c_415c_94e7_2b9bbc44653a idea_95b85e7d_c211_4e06_bb8d_0b8522cff4d2 --> idea_60466e06_ec0c_415c_94e7_2b9bbc44653a idea_26ce2331_a0c0_4eb6_95ec_1ffa8edc6d30 --> idea_ae32ccc2_181e_48a5_b46c_a46c52e1067c idea_d63e137e_69cc_4257_9be8_0119a399c6eb --> idea_f118dcc5_4865_461a_9fb7_b7f50debe18f idea_d63e137e_69cc_4257_9be8_0119a399c6eb --> idea_f1f09ad7_ac2f_497a_97eb_4d41fcfc049e idea_ae32ccc2_181e_48a5_b46c_a46c52e1067c --> idea_2a11cd9e_2f34_4115_89bf_7bb405957c1c idea_27157ce0_c333_4dcc_b530_ca424a799fa6 --> idea_93ba22d6_a657_473e_a4bd_0dbf044e5f4e idea_f1f09ad7_ac2f_497a_97eb_4d41fcfc049e --> idea_a01a87d7_a694_4dc5_ae82_42fe1b8f81ff idea_d316993b_e44d_429e_8588_da97eae73b09 --> idea_ac2622cc_c219_4b2d_80c0_8c15e2e3dd45 idea_efa6007a_cc89_4370_886a_dc93c897e1d8 --> idea_ac2622cc_c219_4b2d_80c0_8c15e2e3dd45 idea_6cf58ac2_2736_4069_8fe4_ac013b601eff --> idea_2a11cd9e_2f34_4115_89bf_7bb405957c1c idea_a9531369_654a_49ab_b18c_7c06fb3214db --> idea_ae32ccc2_181e_48a5_b46c_a46c52e1067c idea_32d77451_98b9_49db_a4db_2b79db965ed8 --> idea_b77c8d0a_4f8d_40cb_9da1_307a0fd07afe idea_34748ea1_21ac_4907_b9f7_833cb782f261 --> idea_b77c8d0a_4f8d_40cb_9da1_307a0fd07afe idea_16133cc8_3bfd_4bcc_8c8c_a7a79e284494 --> idea_60466e06_ec0c_415c_94e7_2b9bbc44653a idea_64473b1b_ae79_4dd3_add6_f067d8b01552 --> idea_60466e06_ec0c_415c_94e7_2b9bbc44653a idea_6cf58ac2_2736_4069_8fe4_ac013b601eff --> idea_55f9a2c5_d099_4eaf_a364_8a8d26ccf1e7 idea_a5aa43a4_d903_447f_be62_9bdace0dec87 --> idea_a01a87d7_a694_4dc5_ae82_42fe1b8f81ff idea_267f3515_89f5_4004_b5b3_f0abb9535eaa --> idea_d316993b_e44d_429e_8588_da97eae73b09 idea_a01a87d7_a694_4dc5_ae82_42fe1b8f81ff --> idea_2a11cd9e_2f34_4115_89bf_7bb405957c1c idea_d63e137e_69cc_4257_9be8_0119a399c6eb --> idea_267f3515_89f5_4004_b5b3_f0abb9535eaa idea_a01a87d7_a694_4dc5_ae82_42fe1b8f81ff --> idea_efa6007a_cc89_4370_886a_dc93c897e1d8 idea_77d140df_e598_4467_9e13_517bcd84440e --> idea_93ba22d6_a657_473e_a4bd_0dbf044e5f4e idea_f118dcc5_4865_461a_9fb7_b7f50debe18f --> idea_efa6007a_cc89_4370_886a_dc93c897e1d8 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