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IUM-03 Series of Functions
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kanaya
May 07, 2024
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IUM-03 Series of Functions
kanaya
May 07, 2024
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Transcript
pineapple.cc ࡚େֶใσʔλՊֶ෦ େֶֶೖ Introduction to University Mathematics
pineapple.cc ߨٛͷਐΊํʢୈճʙୈճʣ Agenda (Day 2 to Day 8) w େֶֶͷೖIntroduction
to University Mathematics ⭐⭐ w ֶΛ͖ʹͳΔStories about math that makes you fun ⭐ w ܭࢉػՊֶʢใՊֶʣͷڮ͠A bridge to computer science ⭐⭐⭐
pineapple.cc ධՁ Credits w ग़੮Attendance w ΫΠζͱϛχϨϙʔτQuiz and mini report
w ϨϙʔτʢҙʣReport (optional)
pineapple.cc ؔྻseries of functions
pineapple.cc fn (x) ≜ xn
pineapple.cc f0 (x) = x0 = 1 f1 (x) =
x f2 (x) = x2 f3 (x) = x3
pineapple.cc lim n→∞ fn (x) = lim n→∞ (xn) =
0 when − 1 < x < 1 1 when x = 1 (NaN) otherwise
pineapple.cc ∞ ∑ n=1 fn (x) = ∞ ∑ n=1
(xn) = x 1 − x when − 1 < x < 1 (NaN) otherwise
pineapple.cc ͞Έ͏ͪͷݪཧ squeeze theorem
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pineapple.cc ༗໊ͳؔsome popular functions
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ڠӫ࢈ۀ
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pineapple.cc ܈ɾɾମgroup, ring, field
pineapple.cc ܈ͱ܈ Group and Semigroup w ดੑ w ݁߹ੑ w
தཱݩͷଘࡏ w ٯݩͷଘࡏʢ܈ͷΈʣ
pineapple.cc Ring w ดੑʢՃ๏ͱ๏ʣ w ݁߹ੑʢՃ๏ͱ๏ʣ w தཱݩͷଘࡏʢՃ๏ͱ๏ʣ w
ٯݩͷଘࡏʢՃ๏ʣ w ՄੑʢՃ๏ʣ w ੑ
pineapple.cc ମʢՄମʣ Field w ดੑʢՃ๏ͱ๏ʣ w ݁߹ੑʢՃ๏ͱ๏ʣ w தཱݩͷଘࡏʢՃ๏ͱ๏ʣ w
ٯݩͷଘࡏʢՃ๏ͱ๏ɼͨͩ͠Ճ๏தཱݩΛআ͘ʣ w ՄੑʢՃ๏ͱ๏ʣ w ੑ
pineapple.cc
pineapple.cc େֶͷزԿֶ
University of Nevada, Las Vegas Round Earth Clues…
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pineapple.cc
pineapple.cc
pineapple.cc @kanaya