Soalan: .
ni post utk Izzat yang bertanya 1 soklan Maths kepadaku 2hari lepas..aku amat sibuk..so ampun sgt2 kerna br nk post benda ni.. huhu...
.
ni cara tulis (1+a1)(1+a2)...(1+an) dlm simbol maths.. big Pai tu maksudnya product of..yakni hasil darab semua benda2 tu...
n sigma is hasil tambah.. :) (seperti yg diketahui semua..)
.
we prove this inequality bt proof by induction.. 1st step, check whether the inequality is tru for base number.. we take 1 as base number...
step 2...
(sori2..gmbr kurang jelas..aku gna kamera je..xde scanner..celik2 kan mata ek..hihi)step 3, check whether the inequality is tru for n= N+1... if this is true, the inequality is true for all n>=1. (gambar kt atas ni ialah cara susun benda2 alah tu so that senang nk compare nilai2 mereka lps ni)
.
letakkan benda2 alah tu pada tempat yang sepatutnya... yakni, sama dgn soklan.. cuma ini ialah for n=N+1.
kena dapatkan ini..sekiranya dpt buktikan this inequality, maknanya kita dh berjaya selesaikan soklan ni..
kena dapatkan ini..sekiranya dpt buktikan this inequality, maknanya kita dh berjaya selesaikan soklan ni...
ni argument nape inequality kt atas tu betul...
ni argument nape inequality kt atas tu betul... .
lastly, jangan lupa tulis QED.. dan ucaplah Alhamdulillah setelah berjaya menyelesaikan satu soklan..hihi...
4 comments:
semangat wat solan analysis di blog...
emmm...tugu la soalan analysis yg lg merapu hahaha....
QED tuh ape? quantum electro dynamics ke? hmm..lame tak buat mathematical induction. analysis la subject maths yg paling best.
QED?? haha, udeyh lupa la..Mr. B penah ckp dlu..dlm bahasa apa pn lupa.. maksudnya ialah:proven.. huhu..
sejujurnya, walaupun real analysis sgt susah, tp tu tajuk paling menarik...xpyh baca buku nk masuk exam..bawa logik akal n kefahaman aje...haha..mudahkan..cuma time exam tu perah otak skt la..kna kaji sedalam-dalamnya makna disebalik setiap soklan...
lg bes dr stats yg xperah otak sgt n kna hafal formula pelik2 n amat banyak..sgt xsuke!!!
lecturer pernah cakap. real number is very complex but if u're working in terms of complex number, it's simple. anyway, to do analysis u must be very2 analytic. In the end, u'll see some overlap between Cauchy-Riemann eqn and Lapalce eqn, Cauchy Integral formula and residue calculus and so on. But complex analysis ni byk sgt la theorems and lemmas yg nak kena buat. If u have done Fourier Series/Analysis, then u'll see the usefulness of analysis
Post a Comment