Question

@GIL-ojei

Answer 1

@GIL.ojei

Answer 2

example, right?

Answer 3

yes

Answer 4

\(x \in R^n\), they define \(\vec x =(x_1, x_2)\)
and by definition above \(\vec x \in R^n\) must have n-tuples, that is \(\vec x =(x_1,x_2,......,x_n)\)
so that if it stops at \(x_2\), then the tuples after it will repeat \(x_2\) in n-1 times.
Why n-1? because you have \(x_1 \) there.

Answer 5

Hello

Answer 6

Like in \(\mathbb R^3\), \(vec x =(x_1,x_2,x_3)\) , in topology, if they say \(\vec x=(x_1,x_2)\) \(\in \mathbb R^3\), that is \(vec x=(x_1,x_2,x_2)\), hence \(x_2\) repeats n-1 =3-1=2 times.
Got that part??

Answer 7

sir, why did x2 repeat twice?

Answer 8

They define it that way!! like your parents "define" you are GIL.

Answer 9

so that everybody will call you GIL. That is it.

Answer 10

is it from the definition x(x1,x2) den because it is not up R^3

Answer 11

which ought to be (x1,x2,x3)?

Answer 12

Actually, this book is not good. If it is written in other language, I have no comments. But it is written in English, but they changed tuple to topple; scalar to sealar. At the first read, I didn't understand what it means. ha!!

Answer 13

sir please have pity on my and help me out or if you have any self teachable book, you can help with , please do. it means i have to understand this before understanding matric and topological space

Answer 14

Anyway, it is just the way they define the operator. it is not important because it doesn't apply to any other problem.

Answer 15

Again, it is not matric!! it is metric.

Answer 16

ok sir

Answer 17

One more thing!! I didn't take topology yet!!. My friends warned me not to take that course. It is so confused and apply to nowhere.

Answer 18

hahahahahahaah. but it is a call course for me . i have to learn it . ok can you take me metric space?

Answer 19

To the topic I never know before, I can make a SHORT research to know what it is. Don't forget, SHORT, not long.

Answer 20

ok but can you open to page 14 of the book, under remark ,,,, i dont get a thing there