Euler's formula & Euler's identity
11:27
Khan AcademySal Khan
Euler's formula & Euler's identity
Euler's Formula, e^(ix) = cos(x) + i*sin(x), and Euler's Identity, e^(iπ) + 1 = 0, are incredible math discoveries. They connect e, i, and pi through Maclaurin series of cos(x), sin(x), and e^x. These formulas reveal a deep, mysterious connection between important numbers in math.
Aug 14, 2016
Euler Line Proof
Euler's line proof Video Lecture - Engineering Mathematics
Euler's line proof Video Lecture - Engineering Mathematics
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Leonhard Euler (Part IV) (လင်းနတ် အွိုင်လာ- စတုတ္ထပိုင်း) Proof of Euler Straight Line ရှေးပညာရှိ Tao Tzu ကပြောပါတယ်။ "မိုင်ပေါင်းတထောင်ရှိတဲ့ခရီးရှည်လည်းပထမခြေလှမ်းကဘဲစရပါတယ်"တဲ့။အထပ်သုံးဆယ်မြင့်တဲ့လှေခါးကိုလဲဘဲတထစ်ချင်း၊တထပ်ချင်းတက်ရင်မလွဲမသွေရောက်မှာပါဘဲ။ ဒါကြောင့်Euler ရဲ့ခက်ခဲတဲ့ကမ္ဘာကျော်ပုစ္ဆာကိုအခြေခံကျကျအပိုင်းပိုင်းခွဲလေ့လာရင်အလယ်တန်းကျောင်းသားတယောက်နားလည်နိုင်ရမယ်လို့ယုံပါတယ်။အခုတင်မဲ့အပိုင်းဟာနောက်ဆုံးပိုင်းပါ။ လှေခါးရဲ့အမြင့်ဆုံးအပိုင်းကိုရောက်နေပါပြီ။ (တင်အောင်လွင် - ဆန်ဖရန်စစ္စကို
Leonhard Euler (Part IV) (လင်းနတ် အွိုင်လာ- စတုတ္ထပိုင်း) Proof of Euler Straight Line ရှေးပညာရှိ Tao Tzu ကပြောပါတယ်။ "မိုင်ပေါင်းတထောင်ရှိတဲ့ခရီးရှည်လည်းပထမခြေလှမ်းကဘဲစရပါတယ်"တဲ့။အထပ်သုံးဆယ်မြင့်တဲ့လှေခါးကိုလဲဘဲတထစ်ချင်း၊တထပ်ချင်းတက်ရင်မလွဲမသွေရောက်မှာပါဘဲ။ ဒါကြောင့်Euler ရဲ့ခက်ခဲတဲ့ကမ္ဘာကျော်ပုစ္ဆာကိုအခြေခံကျကျအပိုင်းပိုင်းခွဲလေ့လာရင်အလယ်တန်းကျောင်းသားတယောက်နားလည်နိုင်ရမယ်လို့ယုံပါတယ်။အခုတင်မဲ့အပိုင်းဟာနောက်ဆုံးပိုင်းပါ။ လှေခါးရဲ့အမြင့်ဆုံးအပိုင်းကိုရောက်နေပါပြီ။ (တင်အောင်လွင် - ဆန်ဖရန်စစ္စကို
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