IMU-04 Famous Functions

Transcript

1. pineapple.cc ௕࡚େֶ৘ใσʔλՊֶ෦ େֶ਺ֶೖ໳
    Introduction to University Mathematics
2. pineapple.cc ߨٛͷਐΊํʢୈճʙୈճʣ Agenda (Day 2 to Day 8) w େֶ਺ֶ΁ͷೖ໳
   Introduction to University Mathematics ⭐⭐
   w ਺ֶΛ޷͖ʹͳΔ࿩
   Stories about math that makes you fun ⭐
   w ܭࢉػՊֶʢ৘ใՊֶʣ΁ͷڮ౉͠
   A bridge to computer science ⭐⭐⭐
3. pineapple.cc ධՁ Credits w ग़੮
   Attendance
   w ΫΠζͱϛχϨϙʔτ
   Quiz and mini report
   w Ϩϙʔτʢ೚ҙʣ
   Report (optional)
4. pineapple.cc ؔ਺ྻ
   series of functions
5. pineapple.cc fn (x) ≜ xn
6. pineapple.cc f0 (x) = x0 = 1 f1 (x) = x f2 (x) = x2 f3 (x) = x3
7. pineapple.cc lim n→∞ fn (x) = lim n→∞ (xn) = 0 when − 1 < x < 1 1 when x = 1 (NaN) otherwise
8. pineapple.cc ∞ ∑ n=1 fn (x) = ∞ ∑ n=1 (xn) = x 1 − x when − 1 < x < 1 (NaN) otherwise
9. pineapple.cc ͸͞Έ͏ͪͷݪཧ
   squeeze theorem
13. pineapple.cc ༗໊ͳؔ਺
    some popular functions
22. ڠӫ࢈ۀ
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29. pineapple.cc ϓϩάϥϛϯάݴޠͷؔ਺
30. pineapple.cc ؔ਺ͷؔ਺Λѻ͑Δϓϩάϥϛϯάݴޠ Programming languages that handles functions of functions • ؔ਺Λѻ͑Δ • Python • lambda x: … • Ruby • lambda { |x| … } • Haskell • \x -> … • ؔ਺Λѻ͑ͳ͍ • Cݴޠ • ؔ਺ϙΠϯλͰ୅༻ • C++ݴޠ • ΫϥεͰ୅༻ • [] () {}
31. pineapple.cc /ਐ๏
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36. pineapple.cc ϒʔϧ୅਺ͱਐ๏ͷ੔਺୅਺
37. pineapple.cc ϒʔϧ୅਺ͱਐ๏ͷ੔਺୅਺ Boolean Algebra and Integral Algebra of Binary System w ϒʔϧ୅਺
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38. pineapple.cc ϒʔϧ୅਺ͱਐ๏ͷ੔਺୅਺ Boolean Algebra and Integral Algebra of Binary System w ϒʔϧ୅਺
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39. pineapple.cc ϒʔϧ୅਺ͱਐ๏ͷ੔਺୅਺ Boolean Algebra and Integral Algebra of Binary System w ϒʔϧ୅਺
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41. pineapple.cc ϒʔϧ୅਺ͱిؾճ࿏
42. pineapple.cc ࣭໰
    ʢ೥݄೔ʣ Question 04 (21st May 2024) w ܭࢉػՊֶͰΑ͘࢖ΘΕΔͷ͸࣍ͷ͏ͪͲΕʁ
    Which one is the most popular in computer science?
    w 1⃣ਐ๏
    Decimal.
    w 2⃣ਐ๏
    Binary.
    w 3⃣ਐ๏
    Ternary.
    w 4⃣ͦͷଞɾΘ͔Βͳ͍
    Other/Don’t know.
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