Log of -1 | Extending the Logarithmic Function

Correction: 1:17 e is more commonly referred to as "Euler's number" than as "Napier's constant." In this video, the symbol "log" is used instead of "ln" to represent natural logarithms. - In general, when the base of "log" is omitted, its meaning depends on the context. In pure mathematics, "log" often denotes the natural logarithm (base e), particularly when working with complex numbers. - For complex numbers, the symbol "Log" is sometimes used to indicate the principal value of the natural logarithm. - To distinguish between real and complex natural logarithms, "ln" can be used for real numbers and "log" for complex numbers. However, this video does not make such a distinction. [BGM] 昼下がり気分 https://dova-s.jp/bgm/play4712.html ほのぼのワルツ【リコーダー】 https://commons.nicovideo.jp/works/nc116360 魔法使いと振り子時計 https://dova-s.jp/bgm/play2769.html [Materials] VOICEVOX:ずんだもん (Zundamon, illustrated by sakamoto_AHR) VOICEVOX:四国めたん (Shikoku Metan, illustrated by sakamoto_AHR) (+ other tools) 効果音ラボ (soundeffect-lab.info) みんちりえ (min-chi.material.jp) pixabay This video uses synthesized voices. #math