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is the imaginary unit? The imaginary unit, i, is the topic of today's math lesson. The imaginary unit is defined as a solution to the equation x^2 + 1 = 0. This is equivalent to the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4257051/d8e82c8ebc30384424a6ed6480c04e5e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/avjAfAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1773560546194496-12035160702852548751-balancer-l7leveler-kubr-yp-sas-153-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DgkOD48sHico","linkTemplate":"/video/preview/6607622478330409428?parent-reqid=1773560546194496-12035160702852548751-balancer-l7leveler-kubr-yp-sas-153-BAL&text=ImaginaryComponent&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is the Imaginary Unit? | Complex Analysis","related_orig_text":"ImaginaryComponent","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ImaginaryComponent\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=gkOD48sHico\",\"src\":\"serp\",\"rvb\":\"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-wUA_gkHAQQF_gH5DAD6-f79APP9AfX2AQAA-_0A__8AAAAFBP4K_wAAAPr7-PoC_gAAAwfw9wIAAAAWBPz9AwAAAP8CCwT-AQAA_fwJBAP_AAAW-_z-AAAAAAEJC_n-_wAA_Q70AgAAAAAH-_4JAAAAACAALRIG4Ds4E0AJSE5QAiqEAhAAGvABfxT7_8oZ6QC3HvQA1P_1AaUNHv8sLvQAs_AMAbUM_gHrG9sA8wXb_-AgFP-bFA0BEtvKAB36_wBE_-b-OsMMAPE67AEx5usAMAAyAQ4i5f_YEB7-_gAcARnwwf8JDM3-Ae8G_gMG9v7sA70CEP5DAfoBAwAZ8yQC7Nwv_ev1DwccFuz7AhLrC_HvCPbe9DMIFNfs_AAHC_nXSe8AB-kR9fHSJv8PFM0ASffzACoTE_XW2gUB-9_1BgQIMP75E-4E5N8g_9H6Cvbi9wgAJvPl-9QkAQnxC_ASChf9Bg70CwD3Ae4RzAEB-9o3AAPv4_H-IAAtUm0JOzgTQAlIYVACKnMQABpgBv4AOfQwwg_6U-js7_EI4fDp4QXu6v_uCv8DCPD6GhvHwPLu_wzqNOKyAAAAJPDUL9YACmnk_uZMCPsIyK3CLPV_6fEa1sQD05TlCgX44wAFIQg_AOT9zCcDBrpMFvogIAAtg30qOzgTQAlIb1ACKq8GEAwaoAYAAGhCAAAQwgAA-MEAABDBAAA4wgAAYEIAAIBBAAAAwgAAgD8AADjCAACCQgAAoMEAAFTCAABgwQAAAEEAAATCAABMQgAARMIAANBBAABQQQAAgEAAAKjBAAAQwgAAgD8AAMDBAACgQAAAmMEAACxCAADYQQAAQEAAAOBBAABEwgAAJMIAACBBAABIwgAAZEIAAIA_AACkQgAAGMIAAExCAADgQQAAoEAAAHhCAACQQQAAgkIAAFjCAABEQgAAdEIAAKpCAADIQQAAmMEAAAAAAABQwQAAMEEAAIBAAAAYwgAAcMIAALjBAAB8QgAAwEEAAIC_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-AABAPAAAiL0AACS-AADYPQAALL4AAAG_AAD4vQAAMD0AAHC9AAAcPgAALL4AAGQ-AACevgAAcL0AACQ-AABwvQAAyD0AAOY-AAB_PwAAVL4AAKg9AACAOwAAML0AABS-AABAPAAA4LwAACw-AAB0PgAAuD0AABA9AACovQAAUL0AAJY-AACIvQAAsj4AACy-AAAsvgAAuL0AAHS-AABkvgAAND4AABC9AACAOwAAgDsAADQ-AACgPAAA4DwAAKC8AAC4PQAAfL4AAFC9AAAkPgAARL4AAOA8AAApPwAA2D0AABQ-AAAsPgAADL4AACw-AAAEPgAAqL0gADgTQAlIfFABKo8CEAEagAIAAPi9AACoPQAAUL0AABO_AABwvQAAoDwAAPI-AADIPQAAlj4AAHC9AADovQAAHL4AAIY-AABkvgAADD4AAKA8AADIPQAAFz8AABA9AAD2PgAAQDwAABC9AACgvAAAQDwAAFA9AAAQvQAA4LwAAFA9AAD4vQAAZL4AAAS-AAAkPgAA4DwAAKg9AACgPAAAfL4AAKI-AAA0vgAALL4AACw-AABAvAAADL4AADA9AACgPAAAqD0AAOC8AAB_vwAAuL0AANa-AADgPAAAiL0AAJo-AABAvAAAFD4AAAy-AAA0PgAA2L0AAEy-AACWPgAABD4AAIg9AACOvgAAbL4AAOg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=gkOD48sHico","parent-reqid":"1773560546194496-12035160702852548751-balancer-l7leveler-kubr-yp-sas-153-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["6607622478330409428"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"982127453"},"3385349798208761401":{"videoId":"3385349798208761401","docid":"34-5-7-Z6D0B2D3C9ADF1A1D","description":"A discussion of various approaches to quaternions. 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