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:
(v^→ , k^→ )∈R^n , v^→ =⟨v_1 , ..., v_n ⟩, k^→ =⟨1, 1, ..., 1⟩.
Prove that if v•k=0, v and k are orthoganal.
Do so in the most creative way(s) or most
complex.
Let this post be a trial competition.
If this goes well, we should continue
doing more in the future!
Good Luck
Edit:
Let me know what you all think!
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