Ok-guys-We-all-LOVE-mathematics-So-I-have-came-up-with-a-simple-and-possibly-effect-way-to-not-only-improve-our-abilities-as-mathematicians-but-also-have-some-fun-too-We-should-hold-a-competiti

Question Number 2649 by Filup last updated on 24/Nov/15

Ok guys . We all LOVE mathematics .

So, I have came up with a simple and

possibly effect way to not only improve

our abilities as mathematicians, but also

have some fun, too .

We should hold a competition every

now and again . We can, for example

have questions such as the following :

(\vec{\boldsymbol v}, \vec{\boldsymbol k}) \in R^{n}, \vec{\boldsymbol v} = ⟨ v_{1}, \dots, v_{n} ⟩, \vec{\boldsymbol k} = ⟨ 1, 1, \dots, 1 ⟩ .

Prove that if \boldsymbol v ∙ \boldsymbol k = 0, \boldsymbol v and \boldsymbol k are orthoganal .

Do so in the most creative way (s) or most

complex .

Let this post be a t r i a l competition .

If this goes well, we should continue

doing more in the future!

G o o d L u c k

E d i t :

Let me know what you all think!

Commented by prakash jain last updated on 24/Nov/15

How about we set up a topic at the beginning

of the month and challenge on that topic

at the end of the month .

This way we cover one new topic every month .

Topic can be for example series convergence,

etc .

Everybody can always put question on

other topic anytime .

Commented by RasheedAhmad last updated on 24/Nov/15

P a r t i c i p a n t s h e r e a r e o f d i f f e r e n t

l e v e l s a n d a l s o t h e y b e l o n g t o

d i f f e r e n t a r e a s o f m a t h s .

T h e y {c a n}^{'} t b e f o r c e d t o a n s w e r

s u g g e s t e d q u e s t i o n / s . F o r e x a m p l e

I a m n o t i n p o s i t i o n n o w t o

a n s w e r y o u r Q b e c a u s e a t t h e

i n s t a n t I h a v e f o r g o t t e n V e c t o r s .

A n y w a y I a p p r e c i a t e y o u r p a s s i o n s .

Commented by Filup last updated on 24/Nov/15

Thats a good point! M aybe we can offer

different levels of difficulty or something ?

Commented by Yozzi last updated on 24/Nov/15

I^{'} m n o f a n o f m a t h e m a t i c s c o m p e t i t i o n s

(p r o b a b l y b e c a u s e I^{'} m t e r r i b l y s l o w a t p r o b l e m

s o l v i n g i n u n k n o w n a r e a s) b u t I^{'} l l t r y t h e q u e s t i o n s f o r

t h e b e n e f i t o f i m p r o v i n g m y a b i l i t i e s .

Commented by Filup last updated on 24/Nov/15

I t wouldnt be a race \dots more of a way of

finding the most unique answers ?

Commented by Yozzi last updated on 24/Nov/15

T h a t s e e m s m o r e s e n s i b l e :

a s e a r c h f o r t h e d i f f e r e n t s o l u t i o n s

f o r a g i v e n p r o b l e m (i f t h e r e a r e a

f i n i t e n u m b e r o f d i s t i n c t m e t h o d s) .

Commented by 123456 last updated on 24/Nov/15

nice .

Commented by Yozzi last updated on 24/Nov/15

I l i k e t h a t i d e a .

Commented by 123456 last updated on 01/Dec/15

the new topic will be opened on the

first day of mouth or 1 mouth

after the other ?

Commented by prakash jain last updated on 09/Dec/15

Let us try at the beginning of the month .

Let us try at the beginning of the month .